edit this statistic or download as text // json
Identifier
Values
=>
Cc0014;cc-rep
([],1)=>0 ([],2)=>0 ([(0,1)],2)=>0 ([],3)=>0 ([(1,2)],3)=>0 ([(0,1),(0,2)],3)=>1 ([(0,2),(2,1)],3)=>0 ([(0,2),(1,2)],3)=>0 ([],4)=>0 ([(2,3)],4)=>0 ([(1,2),(1,3)],4)=>1 ([(0,1),(0,2),(0,3)],4)=>3 ([(0,2),(0,3),(3,1)],4)=>2 ([(0,1),(0,2),(1,3),(2,3)],4)=>1 ([(1,2),(2,3)],4)=>0 ([(0,3),(3,1),(3,2)],4)=>2 ([(1,3),(2,3)],4)=>0 ([(0,3),(1,3),(3,2)],4)=>0 ([(0,3),(1,3),(2,3)],4)=>0 ([(0,3),(1,2)],4)=>0 ([(0,3),(1,2),(1,3)],4)=>1 ([(0,2),(0,3),(1,2),(1,3)],4)=>2 ([(0,3),(2,1),(3,2)],4)=>0 ([(0,3),(1,2),(2,3)],4)=>0 ([],5)=>0 ([(3,4)],5)=>0 ([(2,3),(2,4)],5)=>1 ([(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)=>5 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>4 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>3 ([(1,3),(1,4),(4,2)],5)=>2 ([(0,3),(0,4),(4,1),(4,2)],5)=>5 ([(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>1 ([(0,3),(0,4),(3,2),(4,1)],5)=>4 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>4 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>4 ([(2,3),(3,4)],5)=>0 ([(1,4),(4,2),(4,3)],5)=>2 ([(0,4),(4,1),(4,2),(4,3)],5)=>6 ([(2,4),(3,4)],5)=>0 ([(1,4),(2,4),(4,3)],5)=>0 ([(0,4),(1,4),(4,2),(4,3)],5)=>3 ([(1,4),(2,4),(3,4)],5)=>0 ([(0,4),(1,4),(2,4),(4,3)],5)=>0 ([(0,4),(1,4),(2,4),(3,4)],5)=>0 ([(0,4),(1,4),(2,3)],5)=>0 ([(0,4),(1,3),(2,3),(2,4)],5)=>1 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>3 ([(0,4),(1,4),(2,3),(4,2)],5)=>0 ([(0,4),(1,3),(2,3),(3,4)],5)=>0 ([(0,4),(1,4),(2,3),(2,4)],5)=>1 ([(0,4),(1,4),(2,3),(3,4)],5)=>0 ([(1,4),(2,3)],5)=>0 ([(1,4),(2,3),(2,4)],5)=>1 ([(0,4),(1,2),(1,4),(2,3)],5)=>2 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>4 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>2 ([(0,4),(1,2),(1,4),(4,3)],5)=>2 ([(0,4),(1,2),(1,3)],5)=>1 ([(0,4),(1,2),(1,3),(1,4)],5)=>3 ([(0,2),(0,4),(3,1),(4,3)],5)=>3 ([(0,4),(1,2),(1,3),(3,4)],5)=>2 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>2 ([(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)=>4 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>6 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>3 ([(0,3),(1,2),(1,4),(3,4)],5)=>1 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>3 ([(1,4),(3,2),(4,3)],5)=>0 ([(0,3),(3,4),(4,1),(4,2)],5)=>3 ([(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)=>4 ([(0,4),(1,2),(2,3),(2,4)],5)=>2 ([(0,4),(2,3),(3,1),(4,2)],5)=>0 ([(0,3),(1,2),(2,4),(3,4)],5)=>0 ([(0,4),(1,2),(2,3),(3,4)],5)=>0 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>2 ([],6)=>0 ([(4,5)],6)=>0 ([(3,4),(3,5)],6)=>1 ([(2,3),(2,4),(2,5)],6)=>3 ([(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)=>9 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>8 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>7 ([(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)=>5 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>9 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>4 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>7 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>7 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>7 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>4 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>5 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>8 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>8 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>8 ([(2,3),(2,4),(4,5)],6)=>2 ([(1,4),(1,5),(5,2),(5,3)],6)=>5 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>10 ([(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(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)=>5 ([(1,4),(1,5),(4,3),(5,2)],6)=>4 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>4 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>7 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>4 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>6 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>8 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>9 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>8 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>9 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(3,4),(4,5)],6)=>0 ([(2,3),(3,4),(3,5)],6)=>2 ([(1,5),(5,2),(5,3),(5,4)],6)=>6 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>12 ([(2,3),(3,5),(5,4)],6)=>0 ([(1,4),(4,5),(5,2),(5,3)],6)=>3 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>9 ([(3,5),(4,5)],6)=>0 ([(2,5),(3,5),(5,4)],6)=>0 ([(1,5),(2,5),(5,3),(5,4)],6)=>3 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>9 ([(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)=>4 ([(1,5),(2,5),(3,5),(4,5)],6)=>0 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>0 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>0 ([(0,5),(1,5),(2,5),(3,4)],6)=>0 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>0 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>0 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>1 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>0 ([(1,5),(2,5),(3,4)],6)=>0 ([(1,5),(2,4),(3,4),(3,5)],6)=>1 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>2 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>4 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>3 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>4 ([(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)=>0 ([(0,5),(1,5),(2,3),(5,4)],6)=>0 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>6 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>3 ([(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)=>2 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 ([(0,5),(1,5),(2,3),(2,4)],6)=>1 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>4 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>3 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>4 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>5 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(1,5),(2,5),(3,4),(4,5)],6)=>0 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>0 ([(0,5),(1,5),(2,3),(3,4)],6)=>0 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>0 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>0 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>4 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>8 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>0 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>2 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>6 ([(0,5),(1,5),(2,4),(3,4)],6)=>0 ([(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)=>2 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>0 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>3 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>0 ([(2,5),(3,4)],6)=>0 ([(2,5),(3,4),(3,5)],6)=>1 ([(1,5),(2,3),(2,5),(3,4)],6)=>2 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>5 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>4 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>5 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>1 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>4 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>5 ([(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>9 ([(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)=>8 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>7 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>6 ([(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)=>6 ([(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)=>4 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>4 ([(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)=>3 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>4 ([(1,5),(2,3),(2,5),(5,4)],6)=>2 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>6 ([(1,5),(2,3),(2,4)],6)=>1 ([(1,5),(2,3),(2,4),(2,5)],6)=>3 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>5 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>4 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>4 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>5 ([(0,5),(1,2),(1,3),(1,4)],6)=>3 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>7 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>5 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>6 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>4 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>5 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>3 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>5 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>9 ([(1,3),(1,5),(4,2),(5,4)],6)=>3 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>7 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>6 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>7 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>4 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>6 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>7 ([(1,5),(2,3),(2,4),(4,5)],6)=>2 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>3 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>2 ([(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)=>4 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>2 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>7 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>4 ([(0,4),(1,3),(1,5),(5,2)],6)=>2 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>8 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>5 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>2 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>3 ([(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)=>1 ([(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>7 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>5 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>10 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>8 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>6 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>4 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>5 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>3 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>3 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>6 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>6 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>4 ([(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)=>4 ([(0,4),(0,5),(1,2),(1,3)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>7 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>5 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>6 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>9 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>12 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>8 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>5 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>8 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>6 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>6 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>5 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>5 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>5 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>4 ([(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>2 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>6 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>3 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>2 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>1 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,3),(1,4),(5,2)],6)=>1 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>4 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>9 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>3 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>7 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>5 ([(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)=>4 ([(1,3),(2,4),(4,5)],6)=>0 ([(1,5),(4,3),(5,2),(5,4)],6)=>4 ([(1,5),(2,3),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>4 ([(0,4),(1,5),(5,2),(5,3)],6)=>2 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>10 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>6 ([(1,5),(3,4),(4,2),(5,3)],6)=>0 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>4 ([(1,4),(2,3),(3,5),(4,5)],6)=>0 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>0 ([(0,5),(1,4),(4,2),(5,3)],6)=>0 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>6 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>2 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(1,5),(2,3),(3,4),(4,5)],6)=>0 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>2 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>0 ([(0,5),(1,4),(2,3)],6)=>0 ([(0,5),(1,3),(2,4),(2,5)],6)=>1 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>3 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>3 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>2 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>2 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>2 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>3 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>5 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>7 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>9 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>3 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>3 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>1 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>1 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>4 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>6 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>7 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,5),(1,3),(4,2),(5,4)],6)=>0 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>8 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>4 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>6 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>3 ([(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)=>3 ([(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)=>4 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>0 ([],7)=>0 ([(5,6)],7)=>0 ([(4,5),(4,6)],7)=>1 ([(3,4),(3,5),(3,6)],7)=>3 ([(2,3),(2,4),(2,5),(2,6)],7)=>6 ([(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)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>11 ([(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)=>9 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>14 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>8 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>6 ([(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)=>11 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>7 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>8 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(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)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>8 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>9 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>10 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>13 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>13 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(2,4),(2,5),(2,6),(6,3)],7)=>5 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>9 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>15 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>4 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>3 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>8 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>7 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>11 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>7 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>11 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>7 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>10 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>7 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>7 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>9 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>13 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>9 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>9 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>9 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>5 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>10 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>8 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>8 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>13 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>11 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>11 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>12 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>9 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>11 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>13 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>14 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>13 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>14 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>12 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>13 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>12 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>12 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(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)=>15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>13 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>10 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>10 ([(3,4),(3,5),(5,6)],7)=>2 ([(2,5),(2,6),(6,3),(6,4)],7)=>5 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>10 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>17 ([(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>5 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>13 ([(2,5),(2,6),(5,4),(6,3)],7)=>4 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>7 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>14 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>4 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>13 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>11 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>9 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>6 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>12 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>8 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>9 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>13 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>14 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>16 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>8 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>9 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>16 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>13 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>14 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>11 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>12 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>13 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>14 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>16 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>15 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>17 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>19 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>2 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>2 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>7 ([(4,5),(5,6)],7)=>0 ([(3,4),(4,5),(4,6)],7)=>2 ([(2,6),(6,3),(6,4),(6,5)],7)=>6 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>12 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>20 ([(3,4),(4,6),(6,5)],7)=>0 ([(2,5),(5,6),(6,3),(6,4)],7)=>3 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>9 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>18 ([(4,6),(5,6)],7)=>0 ([(3,6),(4,6),(6,5)],7)=>0 ([(2,6),(3,6),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>9 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>18 ([(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)=>4 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>12 ([(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)=>5 ([(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)=>0 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>0 ([(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)=>8 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>4 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>1 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>5 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>1 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>5 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(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)=>0 ([(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)=>0 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>0 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>2 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>0 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>3 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>9 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>0 ([(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)=>1 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>0 ([(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)=>0 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>0 ([(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)=>9 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>0 ([(2,6),(3,6),(4,5)],7)=>0 ([(2,6),(3,5),(4,5),(4,6)],7)=>1 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>6 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>4 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>5 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(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)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>9 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>7 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>7 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>8 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>13 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>6 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>5 ([(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)=>5 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>10 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>6 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>4 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>4 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>4 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>6 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>4 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>4 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>1 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>3 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>2 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>3 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>5 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>5 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>1 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(2,6),(3,6),(4,5),(6,4)],7)=>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)=>5 ([(1,6),(2,6),(3,4),(6,5)],7)=>0 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>6 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>3 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>6 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>15 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>9 ([(2,6),(3,6),(4,5),(4,6)],7)=>1 ([(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)=>7 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>4 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>6 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>5 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>6 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>3 ([(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)=>2 ([(1,6),(2,6),(3,4),(3,5)],7)=>1 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>4 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>8 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>1 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>13 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>4 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>10 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>4 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>3 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>12 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>3 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>6 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>7 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>11 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>9 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>5 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>6 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>10 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>8 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>4 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>5 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>9 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>3 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>2 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>8 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>1 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>4 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>2 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>8 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>13 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>5 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>6 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>3 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>6 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>10 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>12 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>7 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>10 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>11 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>8 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>10 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>12 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>9 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>7 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>7 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>10 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>4 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(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)=>5 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>3 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>6 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>11 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>4 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>8 ([(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)=>5 ([(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)=>0 ([(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)=>9 ([(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)=>2 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>4 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>4 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>2 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>5 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>10 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>16 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>4 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>8 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>14 ([(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)=>6 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>12 ([(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)=>3 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>3 ([(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)=>0 ([(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)=>0 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>0 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>6 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>12 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>3 ([(1,6),(2,6),(3,5),(4,5)],7)=>0 ([(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)=>2 ([(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)=>4 ([(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)=>4 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>2 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>6 ([(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)=>6 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>2 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>0 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>3 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>3 ([(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)=>0 ([(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)=>6 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>3 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>0 ([(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)=>12 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>6 ([(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)=>3 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>0 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>0 ([(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)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>2 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>1 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>2 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>4 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>3 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>4 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>4 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>1 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>10 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>7 ([(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)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>2 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>2 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>5 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8 ([(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)=>8 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(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)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>5 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>7 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>5 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>8 ([(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)=>5 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>4 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>11 ([(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)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>4 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>9 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>3 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>7 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>0 ([(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)=>0 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>0 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>6 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>3 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>0 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>0 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>0 ([(3,6),(4,5)],7)=>0 ([(3,6),(4,5),(4,6)],7)=>1 ([(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>5 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>10 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>9 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>10 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>13 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>4 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>6 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>8 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>9 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>12 ([(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)=>1 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>6 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>4 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>5 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>9 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>12 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>3 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>2 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>2 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>6 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>8 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>7 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>7 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>6 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>7 ([(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>17 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>14 ([(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)=>4 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>7 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>5 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>6 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>10 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>8 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>8 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>10 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>11 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>11 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>4 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>4 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>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)=>8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>7 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>6 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>12 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>9 ([(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)=>7 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>6 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>10 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>8 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>5 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>10 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>9 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>5 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>4 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>5 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>5 ([(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)=>12 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>9 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>5 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>3 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>9 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>8 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>5 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>7 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>6 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>11 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>4 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>7 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>7 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>10 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>7 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>4 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(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)=>8 ([(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)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>4 ([(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)=>10 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>4 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>2 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>8 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>5 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>7 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>11 ([(2,6),(3,4),(3,6),(6,5)],7)=>2 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>6 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>13 ([(2,6),(3,4),(3,5)],7)=>1 ([(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>5 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>9 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>8 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>9 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>4 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>5 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>8 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>9 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>4 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>3 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>7 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>8 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>5 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>4 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>8 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>8 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>7 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>7 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>8 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>7 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>7 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>8 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>5 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>10 ([(1,6),(2,3),(2,4),(2,5)],7)=>3 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>6 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>9 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>8 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>8 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>7 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>6 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>9 ([(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)=>10 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>12 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>9 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>11 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>8 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>10 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>9 ([(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)=>6 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>8 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>18 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>7 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>12 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>5 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>7 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>6 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>7 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>5 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>5 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>5 ([(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)=>7 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>4 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>11 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>7 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>8 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>6 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>12 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>8
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
Number of subsets of size 3 of elements in a poset that form a "v".
For a finite poset $(P,\leq)$, this is the number of sets $\{x,y,z\} \in \binom{P}{3}$ that form a "v"-subposet (i.e., a subposet consisting of a bottom element covered by two incomparable elements).
Code
def statistic(P):
    return sum(1 for x in P for S in Subsets(P.principal_upper_set(x),2) if P.is_antichain_of_poset(S))

Created
May 23, 2019 at 14:16 by Christian Stump
Updated
May 23, 2019 at 14:16 by Christian Stump