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Cc0020;cc-rep-0Cc0014;cc-rep-1
([],1)=>([],1)
([],2)=>([],1)
([(0,1)],2)=>([],2)
([],3)=>([],1)
([(1,2)],3)=>([(0,2),(1,2)],3)
([(0,2),(1,2)],3)=>([],2)
([(0,1),(0,2),(1,2)],3)=>([],3)
([],4)=>([],1)
([(2,3)],4)=>([(0,2),(1,2)],3)
([(1,3),(2,3)],4)=>([(0,2),(1,2)],3)
([(0,3),(1,3),(2,3)],4)=>([],2)
([(0,3),(1,2)],4)=>([],4)
([(0,3),(1,2),(2,3)],4)=>([(0,3),(1,2)],4)
([(1,2),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4)
([(0,3),(1,2),(1,3),(2,3)],4)=>([(1,3),(2,3)],4)
([(0,2),(0,3),(1,2),(1,3)],4)=>([],2)
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],3)
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)
([],5)=>([],1)
([(3,4)],5)=>([(0,2),(1,2)],3)
([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)
([(1,4),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)
([(0,4),(1,4),(2,4),(3,4)],5)=>([],2)
([(1,4),(2,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,1),(2,4),(3,4)],5)=>([],4)
([(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)
([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2)],4)
([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)
([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(1,2)],3)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,3),(1,2)],4)
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([],2)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],3)
([(0,4),(1,3),(2,3),(2,4)],5)=>([(2,3),(2,4)],5)
([(0,1),(2,3),(2,4),(3,4)],5)=>([],5)
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(3,4)],5)
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([],5)
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([],5)
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(1,4),(2,3)],5)
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,4),(2,3)],5)
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3)],5)
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([],3)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],4)
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)
([],6)=>([],1)
([(4,5)],6)=>([(0,2),(1,2)],3)
([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)
([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)
([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([],2)
([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)
([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,1),(2,5),(3,5),(4,5)],6)=>([],4)
([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2)],4)
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)
([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)
([(0,5),(1,5),(2,4),(3,4)],6)=>([],4)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(2,3),(2,4)],5)
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,3),(1,2)],4)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2)],4)
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(2,3),(2,4)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(1,2)],4)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],2)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],3)
([(0,5),(1,4),(2,3)],6)=>([],6)
([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(2,5),(3,4),(4,5)],6)=>([(2,5),(3,4)],6)
([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,3),(2,4)],6)
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(4,2),(5,3)],6)
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(2,5),(3,4)],6)
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([],4)
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([],5)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(2,3),(2,4)],5)
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(4,5)],6)
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,4),(3,5)],6)
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(3,4)],5)
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(3,4)],5)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(3,4)],5)
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,4),(3,4)],5)
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([],5)
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(1,4),(2,3)],5)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3)],5)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([],6)
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3)],6)
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,5),(2,3),(2,5)],6)
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([],6)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(3,4),(4,5)],6)
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,3),(2,4)],6)
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(1,2)],4)
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(3,4)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3)],5)
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,4),(3,4)],5)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],2)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([],6)
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(3,4),(3,5)],6)
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([],6)
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(4,5)],6)
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(4,5)],6)
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>([],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(4,5)],6)
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,4)],6)
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,4)],6)
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>([(3,4),(3,5)],6)
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],6)
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([],6)
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3)],6)
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,4)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,4)],6)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(2,4),(3,4)],5)
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],3)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)
([],7)=>([],1)
([(5,6)],7)=>([(0,2),(1,2)],3)
([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)
([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)
([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],2)
([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)
([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([],4)
([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2)],4)
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)
([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)
([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)
([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(2,3),(2,4)],5)
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(1,2)],4)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2)],4)
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([(2,3),(2,4)],5)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,3),(2,4)],5)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2)],4)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,3),(2,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)
([(0,6),(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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)
([(1,6),(2,5),(3,4)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,2),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)
([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>([(2,5),(3,4)],6)
([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4)],6)
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>([(2,5),(3,4)],6)
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(2,5),(3,4)],6)
([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4)],6)
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4)],6)
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4)],6)
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(4,6)],7)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([],5)
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(3,4)],5)
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(2,6),(3,4),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>([(2,5),(3,4)],6)
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],4)
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(2,3),(2,4)],5)
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4)],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,4)],5)
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,4),(2,5),(3,4),(3,5)],6)
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3)],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(6,4),(6,5)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2)],4)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,5)],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)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(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),(3,4)],5)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([],4)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>([(2,3),(2,4)],5)
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(2,3),(2,4)],5)
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([(4,5)],6)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,4)],5)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,4)],5)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(2,4)],6)
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7)=>([(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3)],6)
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>([(3,4),(3,5),(5,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>([],6)
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4)],6)
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4)],6)
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4)],5)
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,4),(3,4)],5)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(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)=>([(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7)=>([(3,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)
([(0,5),(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)=>([(2,4),(3,4)],5)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(1,2)],3)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,2)],4)
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,3),(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)
([(1,4),(1,5),(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)
([(0,6),(1,4),(1,5),(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)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3)],6)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,5)],6)
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(3,4),(3,5),(3,6)],7)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(2,5),(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,6),(6,5)],7)
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,5),(2,3),(2,4)],6)
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2)],4)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(3,4)],5)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(3,4),(3,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(0,5),(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)=>([(1,4),(2,3)],5)
([(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)=>([(0,4),(1,4),(2,3)],5)
([(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)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(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)=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(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)=>([(1,4),(2,4),(3,4)],5)
([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(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)=>([(2,4),(3,4)],5)
([(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)=>([],2)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)
([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(3,4),(3,5),(3,6)],7)
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],7)
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7)
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>([(5,6)],7)
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7)
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([],7)
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(5,6)],7)
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4)],7)
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>([],7)
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(5,6)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5),(4,6)],7)
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5)],7)
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(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)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(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)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)=>([],7)
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7)
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4)],7)
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,5),(5,6)],7)
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,5),(5,3),(6,4)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,6),(6,3)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(5,3),(6,4)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(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)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)=>([],7)
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7)=>([(5,6)],7)
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
([(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)=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
([(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)=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,5),(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)=>([(1,6),(2,4),(3,5),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,6),(6,3)],7)
([(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)=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)
([(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)=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)
([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
([(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)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(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)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(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)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(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)=>([(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(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)=>([(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4)],5)
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,4)],5)
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],6)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(2,5),(3,4),(3,5)],6)
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,5)],6)
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>([],7)
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7)=>([(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,6),(5,6)],7)
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],6)
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(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)=>([],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7)=>([],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>([],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4)],6)
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4)],5)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(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)=>([(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(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)=>([(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)
([(0,1),(0,5),(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)=>([],6)
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>([],5)
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>([(3,4),(3,5)],6)
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
([(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)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3)],6)
([(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)=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
([(0,5),(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)=>([(1,5),(2,5),(3,4)],6)
([(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)=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)
([(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)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
([(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)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(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)=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
([(0,5),(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)=>([(1,4),(2,4),(3,4)],5)
([(0,5),(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)=>([(2,5),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(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)=>([(0,4),(1,4),(2,3)],5)
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(3,4),(3,5)],6)
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>([],6)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,1),(0,3),(0,4),(1,2),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([],6)
([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3)],6)
([(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)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,3),(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)=>([(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,6),(6,3)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,4),(3,5),(5,6)],7)
([(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)=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,4),(0,5),(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)=>([(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,4),(2,5),(6,3)],7)
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7)=>([(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4),(3,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7)
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,6),(4,6),(6,5)],7)
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,5),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,5),(5,6)],7)
([(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)=>([(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(4,5),(5,6)],7)
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(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)=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
([(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)=>([(0,5),(1,3),(2,4),(4,5)],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)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(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)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(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)=>([(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(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)=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>([(1,6),(2,6),(3,4),(6,5)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
([(0,5),(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)=>([(1,6),(2,6),(3,4),(6,5)],7)
([(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)=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
([(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)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(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)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(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)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(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)=>([(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(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)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(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)=>([(2,4),(3,4)],5)
([(0,4),(0,5),(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)=>([(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3)],6)
([(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)=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],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)],7)=>([(0,3),(1,3),(2,3)],4)
([(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)=>([(0,4),(1,4),(2,3)],5)
([(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)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(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)=>([(1,4),(2,4),(3,4)],5)
([(0,5),(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)],7)=>([(1,3),(2,3)],4)
([(0,5),(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)=>([(2,4),(3,4)],5)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(3,4),(3,5),(3,6)],7)
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],7)
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>([(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,4),(2,5),(6,3)],7)
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4)],7)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)
([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([],7)
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
([(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)=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>([(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)=>([],7)
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,4),(0,6),(1,2),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4)],7)
([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,1),(0,2),(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(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)=>([(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(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)=>([(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4),(3,5)],6)
([(0,4),(0,5),(0,6),(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)=>([(4,5),(4,6)],7)
([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(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)=>([(2,5),(3,4),(3,5)],6)
([(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)=>([(4,5)],6)
([(0,2),(0,6),(1,2),(1,4),(1,5),(2,3),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(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)=>([(3,6),(4,6),(6,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,1),(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)=>([(2,5),(3,4)],6)
([(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)=>([(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(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)=>([(4,5)],6)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3)],6)
([(0,2),(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)=>([(0,5),(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(3,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(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)=>([(0,5),(1,5),(2,5),(3,4)],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)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(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)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(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)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,5),(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)=>([(2,5),(3,5),(4,5)],6)
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7)
([(0,1),(0,2),(0,5),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(4,5),(5,6)],7)
([(0,1),(0,2),(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,4),(0,5),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4)],7)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,4),(0,5),(0,6),(1,3),(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)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(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)=>([(1,4),(2,3)],5)
([(0,5),(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)],7)=>([(1,4),(2,4),(3,4)],5)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)
([(0,4),(0,5),(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)=>([(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3)],5)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],3)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],5)
([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3)],5)
([(0,1),(0,2),(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)=>([(1,4),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(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)=>([(2,4),(3,4)],5)
([(0,3),(0,4),(0,5),(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)],7)=>([],3)
([(0,3),(0,4),(0,5),(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)=>([],4)
([(0,3),(0,4),(0,5),(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)=>([],5)
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([(5,6)],7)
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(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)=>([],7)
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7)
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5),(4,6)],7)
([(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)=>([(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([],7)
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(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)=>([(5,6)],7)
([(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)=>([(5,6)],7)
([(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)=>([],7)
([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(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)=>([(4,6),(5,6)],7)
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,5),(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)=>([(5,6)],7)
([(0,1),(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)=>([(5,6)],7)
([(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)=>([(4,6),(5,6)],7)
([(0,1),(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)=>([(3,6),(4,5)],7)
([(0,1),(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)=>([(5,6)],7)
([(0,1),(0,5),(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)=>([],6)
([(0,1),(0,5),(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)=>([],7)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],7)
([(0,1),(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(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)=>([(5,6)],7)
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(5,6)],7)
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(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)=>([(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,1),(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)=>([(2,6),(3,6),(4,5)],7)
([(0,3),(0,6),(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)=>([(4,6),(5,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,4),(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)=>([(1,6),(2,5),(3,4)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(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)=>([(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)
([(0,3),(0,4),(0,5),(0,6),(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)=>([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(0,4),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(4,5),(4,6)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>([],7)
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([],7)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(5,6)],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([],7)
([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,6),(4,5)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4)],7)
([(0,1),(0,4),(0,5),(0,6),(1,3),(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)=>([(3,6),(4,5)],7)
([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4)],6)
([(0,3),(0,4),(0,5),(0,6),(1,2),(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)=>([(2,5),(3,4)],6)
([(0,3),(0,4),(0,5),(0,6),(1,2),(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)=>([(3,6),(4,5)],7)
([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4)],7)
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,5)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(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)=>([(2,6),(3,6),(4,5)],7)
([(0,2),(0,6),(1,3),(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)=>([(1,6),(2,6),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,5)],7)
([(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)=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(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)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(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)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(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)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(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)=>([(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(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)=>([(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)
([(0,5),(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)],7)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(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),(4,6),(5,6)],7)=>([(2,5),(3,5),(4,5)],6)
([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(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)=>([(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,2),(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)=>([(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],4)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(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)=>([],5)
([(0,2),(0,3),(0,4),(0,5),(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)=>([],6)
([(0,1),(0,2),(0,3),(0,4),(0,5),(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)=>([],7)
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(only identities of compositions of up to three maps are shown)
Description
The weak duplicate order of the de-duplicate of a graph.
Let $G=(V, E)$ be a graph and let $N=\{ N_v | v\in V\}$ be the set of (distinct) neighbourhoods of $G$.
This map yields the poset obtained by ordering $N$ by reverse inclusion.
Let $G=(V, E)$ be a graph and let $N=\{ N_v | v\in V\}$ be the set of (distinct) neighbourhoods of $G$.
This map yields the poset obtained by ordering $N$ by reverse inclusion.
References
[1] Cook, I., D. Nested colorings of graphs MathSciNet:3337180
Sage code
def mapping(G): G = G.relabel(inplace=False) V = set(tuple(sorted(G[v])) for v in G.vertices()) return Poset([V, lambda a, b: set(b).issubset(a)])
Weight
51
Created
Dec 27, 2021 at 19:49 by Martin Rubey
Updated
Dec 27, 2021 at 19:49 by Martin Rubey
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