Identifier
Values
=>
Cc0014;cc-rep
([],2)=>0 ([(0,1)],2)=>1 ([],3)=>0 ([(1,2)],3)=>0 ([(0,1),(0,2)],3)=>0 ([(0,2),(2,1)],3)=>1 ([(0,2),(1,2)],3)=>1 ([],4)=>0 ([(2,3)],4)=>0 ([(1,2),(1,3)],4)=>0 ([(0,1),(0,2),(0,3)],4)=>0 ([(0,2),(0,3),(3,1)],4)=>0 ([(0,1),(0,2),(1,3),(2,3)],4)=>0 ([(1,2),(2,3)],4)=>0 ([(0,3),(3,1),(3,2)],4)=>0 ([(1,3),(2,3)],4)=>0 ([(0,3),(1,3),(3,2)],4)=>1 ([(0,3),(1,3),(2,3)],4)=>1 ([(0,3),(1,2)],4)=>0 ([(0,3),(1,2),(1,3)],4)=>0 ([(0,2),(0,3),(1,2),(1,3)],4)=>0 ([(0,3),(2,1),(3,2)],4)=>1 ([(0,3),(1,2),(2,3)],4)=>2 ([],5)=>0 ([(3,4)],5)=>0 ([(2,3),(2,4)],5)=>0 ([(1,2),(1,3),(1,4)],5)=>0 ([(0,1),(0,2),(0,3),(0,4)],5)=>0 ([(0,2),(0,3),(0,4),(4,1)],5)=>0 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>0 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>0 ([(1,3),(1,4),(4,2)],5)=>0 ([(0,3),(0,4),(4,1),(4,2)],5)=>0 ([(1,2),(1,3),(2,4),(3,4)],5)=>0 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>0 ([(0,3),(0,4),(3,2),(4,1)],5)=>0 ([(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)=>0 ([(2,3),(3,4)],5)=>0 ([(1,4),(4,2),(4,3)],5)=>0 ([(0,4),(4,1),(4,2),(4,3)],5)=>0 ([(2,4),(3,4)],5)=>0 ([(1,4),(2,4),(4,3)],5)=>0 ([(0,4),(1,4),(4,2),(4,3)],5)=>0 ([(1,4),(2,4),(3,4)],5)=>0 ([(0,4),(1,4),(2,4),(4,3)],5)=>1 ([(0,4),(1,4),(2,4),(3,4)],5)=>1 ([(0,4),(1,4),(2,3)],5)=>0 ([(0,4),(1,3),(2,3),(2,4)],5)=>0 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>0 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>0 ([(0,4),(1,4),(2,3),(4,2)],5)=>1 ([(0,4),(1,3),(2,3),(3,4)],5)=>2 ([(0,4),(1,4),(2,3),(2,4)],5)=>0 ([(0,4),(1,4),(2,3),(3,4)],5)=>3 ([(1,4),(2,3)],5)=>0 ([(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)=>0 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>0 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>0 ([(0,4),(1,2),(1,4),(4,3)],5)=>0 ([(0,4),(1,2),(1,3)],5)=>0 ([(0,4),(1,2),(1,3),(1,4)],5)=>0 ([(0,2),(0,4),(3,1),(4,3)],5)=>0 ([(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)=>0 ([(0,3),(0,4),(1,2),(1,4)],5)=>0 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>0 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>0 ([(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)=>0 ([(1,4),(3,2),(4,3)],5)=>0 ([(0,3),(3,4),(4,1),(4,2)],5)=>0 ([(1,4),(2,3),(3,4)],5)=>0 ([(0,4),(1,2),(2,4),(4,3)],5)=>2 ([(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)=>1 ([(0,3),(1,2),(2,4),(3,4)],5)=>1 ([(0,4),(1,2),(2,3),(3,4)],5)=>2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>0 ([],6)=>0 ([(4,5)],6)=>0 ([(3,4),(3,5)],6)=>0 ([(2,3),(2,4),(2,5)],6)=>0 ([(1,2),(1,3),(1,4),(1,5)],6)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>0 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>0 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>0 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>0 ([(1,3),(1,4),(1,5),(5,2)],6)=>0 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>0 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>0 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>0 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>0 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>0 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>0 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>0 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>0 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>0 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>0 ([(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)=>0 ([(2,3),(2,4),(4,5)],6)=>0 ([(1,4),(1,5),(5,2),(5,3)],6)=>0 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>0 ([(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>0 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>0 ([(1,4),(1,5),(4,3),(5,2)],6)=>0 ([(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)=>0 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>0 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>0 ([(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)=>0 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>0 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>0 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>0 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(3,4),(4,5)],6)=>0 ([(2,3),(3,4),(3,5)],6)=>0 ([(1,5),(5,2),(5,3),(5,4)],6)=>0 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>0 ([(2,3),(3,5),(5,4)],6)=>0 ([(1,4),(4,5),(5,2),(5,3)],6)=>0 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>0 ([(3,5),(4,5)],6)=>0 ([(2,5),(3,5),(5,4)],6)=>0 ([(1,5),(2,5),(5,3),(5,4)],6)=>0 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>0 ([(2,5),(3,5),(4,5)],6)=>0 ([(1,5),(2,5),(3,5),(5,4)],6)=>0 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>0 ([(1,5),(2,5),(3,5),(4,5)],6)=>0 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 ([(0,5),(1,5),(2,5),(3,4)],6)=>0 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>1 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>2 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>4 ([(1,5),(2,5),(3,4)],6)=>0 ([(1,5),(2,4),(3,4),(3,5)],6)=>0 ([(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)=>0 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>0 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>0 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>0 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>0 ([(1,5),(2,5),(3,4),(5,3)],6)=>0 ([(1,5),(2,4),(3,4),(4,5)],6)=>0 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>2 ([(0,5),(1,5),(2,3),(5,4)],6)=>0 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>0 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>0 ([(1,5),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>0 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>0 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>0 ([(0,5),(1,5),(2,3),(2,4)],6)=>0 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>0 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>0 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(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)=>0 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>0 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>0 ([(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)=>0 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(1,5),(2,5),(3,4),(4,5)],6)=>0 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>3 ([(0,5),(1,5),(2,3),(3,4)],6)=>0 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>1 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(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)=>0 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>0 ([(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)=>0 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>0 ([(0,5),(1,5),(2,4),(3,4)],6)=>0 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>0 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(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)=>0 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>3 ([(2,5),(3,4)],6)=>0 ([(2,5),(3,4),(3,5)],6)=>0 ([(1,5),(2,3),(2,5),(3,4)],6)=>0 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>0 ([(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)=>0 ([(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)=>0 ([(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>0 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>0 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>0 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>0 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>0 ([(1,5),(2,3),(2,5),(5,4)],6)=>0 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>0 ([(1,5),(2,3),(2,4)],6)=>0 ([(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(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)=>0 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>0 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>0 ([(0,5),(1,2),(1,3),(1,4)],6)=>0 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>0 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>0 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>0 ([(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)=>0 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>0 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>0 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>0 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>0 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(1,3),(1,5),(4,2),(5,4)],6)=>0 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>0 ([(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)=>0 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>0 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>0 ([(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)=>0 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>0 ([(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)=>0 ([(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)=>0 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>0 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>0 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>0 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>0 ([(1,4),(1,5),(2,3),(2,5)],6)=>0 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(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)=>0 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>0 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>0 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>0 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>0 ([(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)=>0 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>0 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>0 ([(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)=>0 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>0 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>0 ([(0,4),(0,5),(1,2),(1,3)],6)=>0 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>0 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>0 ([(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)=>0 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>0 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>0 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>0 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>0 ([(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)=>0 ([(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)=>0 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>0 ([(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)=>0 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>0 ([(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)=>0 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>0 ([(1,4),(2,3),(2,5),(4,5)],6)=>0 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>0 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>0 ([(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)=>0 ([(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)=>0 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>0 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>0 ([(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)=>0 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>0 ([(2,5),(3,4),(4,5)],6)=>0 ([(1,5),(2,3),(3,5),(5,4)],6)=>0 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>0 ([(1,3),(2,4),(4,5)],6)=>0 ([(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)=>0 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>0 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>0 ([(1,5),(3,4),(4,2),(5,3)],6)=>0 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>0 ([(1,4),(2,3),(3,5),(4,5)],6)=>0 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>1 ([(0,5),(1,4),(4,2),(5,3)],6)=>0 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>0 ([(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)=>0 ([(1,5),(2,3),(3,4),(4,5)],6)=>0 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>0 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>0 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,3)],6)=>0 ([(0,5),(1,3),(2,4),(2,5)],6)=>0 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>0 ([(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)=>0 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>0 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(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)=>0 ([(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)=>0 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>0 ([(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)=>0 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>0 ([(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)=>1 ([(0,5),(1,3),(2,4),(4,5)],6)=>0 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>0 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>2 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>4 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>2 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>0 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>2 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>0 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>3 ([],7)=>0 ([(5,6)],7)=>0 ([(4,5),(4,6)],7)=>0 ([(3,4),(3,5),(3,6)],7)=>0 ([(2,3),(2,4),(2,5),(2,6)],7)=>0 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>0 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>0 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>0 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>0 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(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)=>0 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>0 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(2,4),(2,5),(2,6),(6,3)],7)=>0 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>0 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>0 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>0 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>0 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>0 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>0 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>0 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>0 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>0 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>0 ([(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)=>0 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>0 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>0 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>0 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>0 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>0 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>0 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>0 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>0 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>0 ([(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)=>0 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>0 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>0 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>0 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>0 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>0 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>0 ([(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)=>0 ([(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)=>0 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>0 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(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)=>0 ([(2,5),(2,6),(6,3),(6,4)],7)=>0 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>0 ([(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>0 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>0 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>0 ([(2,5),(2,6),(5,4),(6,3)],7)=>0 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>0 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>0 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>0 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>0 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>0 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>0 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>0 ([(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)=>0 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>0 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>0 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>0 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>0 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>0 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>0 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>0 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>0 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>0 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>0 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>0 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>0 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>0 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>0 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>0 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>0 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(4,5),(5,6)],7)=>0 ([(3,4),(4,5),(4,6)],7)=>0 ([(2,6),(6,3),(6,4),(6,5)],7)=>0 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>0 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>0 ([(3,4),(4,6),(6,5)],7)=>0 ([(2,5),(5,6),(6,3),(6,4)],7)=>0 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>0 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>0 ([(4,6),(5,6)],7)=>0 ([(3,6),(4,6),(6,5)],7)=>0 ([(2,6),(3,6),(6,4),(6,5)],7)=>0 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>0 ([(3,6),(4,6),(5,6)],7)=>0 ([(2,6),(3,6),(4,6),(6,5)],7)=>0 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>0 ([(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>0 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>5 ([(1,6),(2,6),(3,6),(4,5)],7)=>0 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>0 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>0 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>0 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>0 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>3 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>0 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>4 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>2 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>3 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>0 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>0 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>4 ([(2,6),(3,6),(4,5)],7)=>0 ([(2,6),(3,5),(4,5),(4,6)],7)=>0 ([(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)=>0 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>0 ([(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)=>0 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>0 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>0 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>0 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>0 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>0 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>0 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>0 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>0 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>0 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>0 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>0 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>0 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(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)=>0 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(2,6),(3,6),(4,5),(6,4)],7)=>0 ([(2,6),(3,5),(4,5),(5,6)],7)=>0 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>0 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>0 ([(1,6),(2,6),(3,4),(6,5)],7)=>0 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>0 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>0 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>0 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>0 ([(2,6),(3,6),(4,5),(4,6)],7)=>0 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>0 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>0 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>0 ([(1,6),(2,6),(3,4),(3,5)],7)=>0 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>0 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>0 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>0 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>0 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>0 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>0 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>0 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>0 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>0 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>0 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>0 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>0 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>0 ([(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)=>0 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>0 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>0 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>0 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>0 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>0 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>0 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>0 ([(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)=>0 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>0 ([(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)=>0 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>0 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>0 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>0 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>0 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>0 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>0 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>0 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>0 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>0 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>0 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>0 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>0 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>0 ([(2,6),(3,6),(4,5),(5,6)],7)=>0 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>0 ([(1,6),(2,6),(3,4),(4,5)],7)=>0 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>0 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>0 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>0 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>0 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>0 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>0 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>0 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>0 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>0 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>0 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>0 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>0 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>0 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>0 ([(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)=>2 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>0 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>0 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>0 ([(1,6),(2,6),(3,5),(4,5)],7)=>0 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>0 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>0 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>0 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>0 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>0 ([(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)=>0 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>3 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>0 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>0 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>0 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,4)],7)=>0 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>0 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>0 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>0 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>0 ([(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)=>4 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>0 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>0 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>0 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>0 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>0 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>0 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>0 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>0 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>0 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>0 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>0 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>0 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>0 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>0 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>0 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>0 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>6 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>0 ([(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)=>0 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>0 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>0 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>4 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>6 ([(3,6),(4,5)],7)=>0 ([(3,6),(4,5),(4,6)],7)=>0 ([(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>0 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>0 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>0 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>0 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>0 ([(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)=>0 ([(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)=>0 ([(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)=>0 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>0 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>0 ([(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)=>0 ([(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)=>0 ([(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>0 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>0 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>0 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>0 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>0 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>0 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>0 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>0 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>0 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>0 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>0 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>0 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>0 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>0 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>0 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>0 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>0 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>0 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>0 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>0 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>0 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>0 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>0 ([(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)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>0 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>0 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>0 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>0 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>0 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>0 ([(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)=>0 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>0 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>0 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>0 ([(2,6),(3,4),(3,6),(6,5)],7)=>0 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>0 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>0 ([(2,6),(3,4),(3,5)],7)=>0 ([(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(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)=>0 ([(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)=>0 ([(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)=>0 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>0 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>0 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>0 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>0 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>0 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>0 ([(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)=>0 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>0 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(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)=>0 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>0 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>0 ([(1,6),(2,3),(2,4),(2,5)],7)=>0 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>0 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>0 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>0 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>0 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>0 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>0 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>0 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>0 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>0 ([(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)=>0 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>0 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>0 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>0 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>0 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>0 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>0 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>0 ([(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)=>0 ([(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 size of the preimage of the map 'to poset' from Ordered trees to Posets.
Code
def to_poset(elt, root_to_leaf = False):
    if elt in LabelledOrderedTrees():
        relabel = False
    else:
        elt = elt.canonical_labelling()
        relabel = True
    relations = []
    elements = [elt.label()]
    roots = [elt]
    while len(roots)!=0:
        node = roots.pop()
        for child in node:
            elements.append(child.label())
            relations.append((node.label(),child.label()) if root_to_leaf else (child.label(),node.label()))
            roots.append(child)
    from sage.combinat.posets.posets import Poset
    p = Poset([elements, relations])
    if relabel:
        p = p.canonical_label()
    return p

@cached_function
def preimages(level):
    print "computing preimages for level", level
    result = dict()
    for el in OrderedTrees(level):
        image = to_poset(el)._hasse_diagram.canonical_label().copy(immutable=True)
        result[image] = result.get(image, 0) + 1
    return result

def statistic(x):
    return preimages(x.cardinality()).get(x._hasse_diagram.canonical_label().copy(immutable=True), 0)

Created
Sep 11, 2015 at 22:37 by Martin Rubey
Updated
Sep 11, 2015 at 22:37 by Martin Rubey