Identifier
Values
=>
Cc0020;cc-rep-0
Cc0020;cc-rep-1
Cc0020;cc-rep
([],2)=>([],2)=>([(0,2),(1,2)],3)=>2
([],3)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,2)],3)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([],4)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(2,3)],4)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,3),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,3),(1,2)],4)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,3),(1,2),(2,3)],4)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,2),(1,3),(2,3)],4)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([],5)=>([],5)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5
([(3,4)],5)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(1,4),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(1,4),(2,3)],5)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,1),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,3),(2,4),(3,4)],5)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,3),(1,4),(2,3),(2,4)],5)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(2,3),(2,4),(3,4)],5)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(4,5)],6)=>([],5)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5
([(2,5),(3,4)],6)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(1,2),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(3,4),(3,5),(4,5)],6)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(2,4),(2,5),(3,4),(3,5)],6)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(2,3)],6)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,2),(3,4),(3,5),(4,5)],6)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(3,6),(4,5)],7)=>([],5)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5
([(4,5),(4,6),(5,6)],7)=>([],5)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5
([(3,5),(3,6),(4,5),(4,6)],7)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,6),(2,5),(3,4)],7)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(2,3),(4,5),(4,6),(5,6)],7)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>([(0,3),(1,3),(2,3)],4)=>3
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],2)=>([(0,2),(1,2)],3)=>2
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
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Description
The distinguishing index of a graph.
This is the smallest number of colours such that there is a colouring of the edges which is not preserved by any automorphism.
If the graph has a connected component which is a single edge, or at least two isolated vertices, this statistic is undefined.
This is the smallest number of colours such that there is a colouring of the edges which is not preserved by any automorphism.
If the graph has a connected component which is a single edge, or at least two isolated vertices, this statistic is undefined.
Map
cone
Description
The cone of a graph.
The cone of a graph is obtained by joining a new vertex to all the vertices of the graph. The added vertex is called a universal vertex or a dominating vertex.
The cone of a graph is obtained by joining a new vertex to all the vertices of the graph. The added vertex is called a universal vertex or a dominating vertex.
Map
block-cut tree
Description
Sends a graph to its block-cut tree.
The block-cut tree has a vertex for each block and for each cut-vertex of the given graph, and there is an edge for each pair of block and cut-vertex that belongs to that block. A block is a maximal biconnected (or 2-vertex connected) subgraph. A cut-vertex is a vertex whose removal increases the number of connected components.
The block-cut tree has a vertex for each block and for each cut-vertex of the given graph, and there is an edge for each pair of block and cut-vertex that belongs to that block. A block is a maximal biconnected (or 2-vertex connected) subgraph. A cut-vertex is a vertex whose removal increases the number of connected components.
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