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Cc0014;cc-rep-0Cc0020;cc-rep-1
([],1)=>([],1)
([],2)=>([],2)
([(0,1)],2)=>([(0,1)],2)
([],3)=>([],3)
([(1,2)],3)=>([(1,2)],3)
([(0,1),(0,2)],3)=>([(0,2),(1,2)],3)
([(0,2),(2,1)],3)=>([(0,2),(1,2)],3)
([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)
([],4)=>([],4)
([(2,3)],4)=>([(2,3)],4)
([(1,2),(1,3)],4)=>([(1,3),(2,3)],4)
([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)
([(1,2),(2,3)],4)=>([(1,3),(2,3)],4)
([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(2,3)],4)
([(1,3),(2,3)],4)=>([(1,3),(2,3)],4)
([(0,3),(1,3),(3,2)],4)=>([(0,3),(1,3),(2,3)],4)
([(0,3),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4)
([(0,3),(1,2)],4)=>([(0,3),(1,2)],4)
([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)
([(0,3),(2,1),(3,2)],4)=>([(0,3),(1,2),(2,3)],4)
([(0,3),(1,2),(2,3)],4)=>([(0,3),(1,2),(2,3)],4)
([],5)=>([],5)
([(3,4)],5)=>([(3,4)],5)
([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(4,1)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
([(1,3),(1,4),(4,2)],5)=>([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(4,1),(4,2)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(2,4),(3,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,3),(0,4),(3,2),(4,1)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
([(2,3),(3,4)],5)=>([(2,4),(3,4)],5)
([(1,4),(4,2),(4,3)],5)=>([(1,4),(2,4),(3,4)],5)
([(0,4),(4,1),(4,2),(4,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(2,4),(3,4)],5)=>([(2,4),(3,4)],5)
([(1,4),(2,4),(4,3)],5)=>([(1,4),(2,4),(3,4)],5)
([(0,4),(1,4),(4,2),(4,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(1,4),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5)
([(0,4),(1,4),(2,4),(4,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
([(0,4),(1,4),(2,3)],5)=>([(0,1),(2,4),(3,4)],5)
([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
([(0,4),(1,4),(2,3),(4,2)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(1,3),(2,3),(3,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(1,4),(2,3)],5)=>([(1,4),(2,3)],5)
([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(1,4),(2,3)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
([(0,4),(1,2),(1,4),(4,3)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5)
([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,2),(0,4),(3,1),(4,3)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(1,2),(1,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(1,4),(3,2),(4,3)],5)=>([(1,4),(2,3),(3,4)],5)
([(0,3),(3,4),(4,1),(4,2)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(1,4),(2,3),(3,4)],5)=>([(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,3),(1,4),(4,2)],5)=>([(0,1),(2,4),(3,4)],5)
([(0,4),(3,2),(4,1),(4,3)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([],6)=>([],6)
([(4,5)],6)=>([(4,5)],6)
([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(1,3),(1,4),(1,5),(5,2)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6)
([(1,4),(1,5),(5,2),(5,3)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(2,3),(2,4),(3,5),(4,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,4),(1,5),(4,3),(5,2)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(3,4),(4,5)],6)=>([(3,5),(4,5)],6)
([(2,3),(3,4),(3,5)],6)=>([(2,5),(3,5),(4,5)],6)
([(1,5),(5,2),(5,3),(5,4)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(2,3),(3,5),(5,4)],6)=>([(2,5),(3,4),(4,5)],6)
([(1,4),(4,5),(5,2),(5,3)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
([(2,5),(3,5),(5,4)],6)=>([(2,5),(3,5),(4,5)],6)
([(1,5),(2,5),(5,3),(5,4)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6)
([(1,5),(2,5),(3,5),(5,4)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,5),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(2,5),(3,4),(5,3)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(1,5),(2,4),(3,4),(4,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(5,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(2,5),(3,4),(4,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
([(1,5),(2,3),(2,5),(3,4)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(2,3),(2,5),(5,4)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(1,3),(1,5),(4,2),(5,4)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(1,5),(2,3),(2,4),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(1,4),(2,3),(2,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(2,5),(3,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6)
([(1,5),(2,3),(3,5),(5,4)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,3),(2,4),(4,5)],6)=>([(1,2),(3,5),(4,5)],6)
([(1,5),(4,3),(5,2),(5,4)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(1,5),(2,3),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(1,5),(5,2),(5,3)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,5),(3,4),(4,2),(5,3)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(1,4),(2,3),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(4,2),(5,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(1,5),(2,3),(3,4),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6)
([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([],7)=>([],7)
([(5,6)],7)=>([(5,6)],7)
([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(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)
([(2,4),(2,5),(2,6),(6,3)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(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)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(2,5),(2,6),(6,3),(6,4)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(3,4),(3,5),(4,6),(5,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,5),(2,6),(5,4),(6,3)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(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),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(4,5),(5,6)],7)=>([(4,6),(5,6)],7)
([(3,4),(4,5),(4,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(2,6),(6,3),(6,4),(6,5)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(3,4),(4,6),(6,5)],7)=>([(3,6),(4,5),(5,6)],7)
([(2,5),(5,6),(6,3),(6,4)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
([(3,6),(4,6),(6,5)],7)=>([(3,6),(4,6),(5,6)],7)
([(2,6),(3,6),(6,4),(6,5)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
([(2,6),(3,6),(4,6),(6,5)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(3,6),(4,5),(6,4)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(2,6),(3,5),(4,5),(5,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(6,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(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)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(3,6),(4,5),(5,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(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)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(2,6),(3,4),(3,6),(6,5)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(6,2)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>([(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),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>([(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),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(1,4),(1,5),(2,3),(2,5),(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),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>([(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),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(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)],7)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(3,6),(4,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
([(2,6),(3,4),(4,6),(6,5)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(2,4),(3,5),(5,6)],7)=>([(2,3),(4,6),(5,6)],7)
([(2,6),(5,4),(6,3),(6,5)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(3,4),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,6),(6,3),(6,4)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,6),(6,2),(6,3),(6,4)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(2,5),(3,4),(4,6),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(5,4),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7)
([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(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),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,4),(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),(2,6),(3,5)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,5),(5,6),(6,2),(6,3)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>([(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8)
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8)=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6)],8)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)=>([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)=>([(0,3),(0,7),(1,2),(1,5),(2,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8)=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,7),(6,3),(6,4),(6,5),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,7),(6,2),(6,3),(6,4),(6,5),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
([(0,5),(0,6),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(0,7),(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(3,7),(4,7),(5,7),(6,7)],8)=>([(3,7),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(4,6),(4,7),(5,6),(5,7)],8)=>([(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8)
([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8)
([(5,7),(6,7)],8)=>([(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
([],8)=>([],8)
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,7),(1,2),(1,5),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(4,5),(5,6),(6,7)],8)
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(3,7),(5,4),(6,4),(6,7)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,2),(5,7),(6,3),(6,7)],8)=>([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6)],8)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8)=>([(0,1),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6)],8)
([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)=>([(2,6),(2,7),(3,4),(3,5),(4,7),(5,6)],8)
([(2,4),(3,5),(5,6),(6,7)],8)=>([(2,3),(4,7),(5,6),(6,7)],8)
([(0,5),(1,4),(2,7),(6,3),(7,6)],8)=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,5),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8)=>([(0,7),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8)=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(4,5),(5,6),(6,7)],8)
([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8)=>([(0,1),(0,3),(1,2),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
([(1,6),(2,7),(5,4),(6,5),(7,3)],8)=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8)=>([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8)
([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8)=>([(0,7),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8)=>([(0,7),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,7)],8)
([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8)=>([(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(5,7)],8)
([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,7),(1,6),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,4),(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)=>([(0,7),(1,6),(2,5),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8)=>([(0,1),(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,5),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,3),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8)=>([(0,7),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
([(1,7),(2,4),(2,5),(6,3),(7,6)],8)=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8)=>([(0,7),(1,2),(1,5),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8)=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8)=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
([(4,5),(5,7),(7,6)],8)=>([(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
([(4,7),(5,6)],8)=>([(4,7),(5,6)],8)
([(0,7),(1,6),(2,5),(3,4)],8)=>([(0,7),(1,6),(2,5),(3,4)],8)
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,7),(1,6),(2,5),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8)
([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
([(2,7),(3,7),(4,6),(5,6)],8)=>([(2,7),(3,7),(4,6),(5,6)],8)
([(2,5),(3,4),(4,6),(5,7)],8)=>([(2,7),(3,7),(4,6),(5,6)],8)
([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(2,6),(2,7),(3,4),(3,5),(4,7),(5,6)],8)
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8)
([(2,6),(2,7),(3,4),(3,5)],8)=>([(2,7),(3,7),(4,6),(5,6)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,5),(2,7),(7,3),(7,4)],8)=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)=>([(0,7),(1,2),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)=>([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,6),(5,1),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,7),(1,7),(2,3),(7,4),(7,5),(7,6)],8)=>([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
([(0,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8)=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6)],8)=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,4),(0,5),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3),(4,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,3),(3,4),(3,5),(4,2),(4,6),(4,7)],8)=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,7),(1,5),(1,7),(2,5),(2,6),(7,3),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)=>([(0,1),(0,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,7),(3,6),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8)
([(0,7),(1,5),(1,7),(5,4),(5,6),(7,2),(7,3),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(3,2),(3,6),(3,7),(4,1),(4,6),(4,7),(5,3),(5,4)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)=>([(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6)],8)=>([(0,7),(1,2),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,3),(1,4),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8)=>([(0,1),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8)=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6)],8)
([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8)=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
([(0,7),(1,3),(4,6),(5,4),(6,2),(7,5)],8)=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,6),(3,4),(4,2),(5,3)],8)=>([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8)=>([(0,1),(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,3)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(6,3)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)=>([(0,1),(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6)],8)
([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8)=>([(0,1),(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
([(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(5,6),(7,5)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,4),(0,5),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,4),(1,5),(1,7),(3,6),(4,6),(4,7),(5,3),(7,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)=>([(0,7),(1,2),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,6),(4,7),(5,6),(5,7)],8)
([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,7),(1,5),(1,7),(4,3),(5,2),(5,6),(7,4),(7,6)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
([(0,7),(1,6),(4,5),(5,3),(6,4),(7,2)],8)=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(1,7),(2,4),(5,6),(6,3),(7,5)],8)=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,7),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,2),(0,3),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8)=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8)=>([(0,1),(0,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(2,7),(3,6),(4,6),(5,7),(6,5)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,6),(2,6),(3,4),(5,7),(6,5)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(7,5),(7,6)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)=>([(0,1),(0,4),(1,6),(2,4),(2,5),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,6),(1,7),(4,5),(5,2),(6,4),(7,3)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(7,5)],8)=>([(0,1),(0,3),(1,2),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(2,6),(5,2),(5,7),(6,3),(7,4)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8)=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
([(3,4),(4,7),(6,5),(7,6)],8)=>([(3,7),(4,6),(5,6),(5,7)],8)
([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8)=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,5),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(6,7)],8)=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,4),(0,5),(1,6),(2,7),(3,2),(4,3),(4,6),(5,1),(5,7)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(6,4)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(7,5)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,7),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,7),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(7,1)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
([(0,4),(0,5),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(5,7)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(0,5),(1,3),(2,6),(3,6),(3,7),(4,2),(4,7),(5,4)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)=>([(0,7),(1,2),(1,7),(2,5),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(5,6)],8)=>([(0,7),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,4),(3,7),(4,3),(4,5),(4,6),(7,2)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,5),(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(5,3)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,5),(1,3),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4),(5,6)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,7),(1,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)=>([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,7),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(0,5),(1,6),(3,7),(4,3),(5,4),(6,2),(6,7)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,5),(1,6),(1,7),(3,7),(4,3),(5,4),(6,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8)=>([(0,7),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,4),(1,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,2),(4,5)],8)=>([(0,7),(1,2),(1,7),(2,5),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,4),(0,7),(1,5),(1,6),(3,7),(4,6),(5,3),(7,2)],8)=>([(0,7),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,6),(1,4),(1,7),(2,6),(3,5),(3,7),(4,2),(6,5)],8)=>([(0,1),(0,3),(1,2),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(1,4),(1,7),(2,6),(3,7),(4,2),(6,5),(7,5)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,7),(4,6),(5,3),(6,5),(7,2)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(6,5),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,7),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8)=>([(0,7),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8)=>([(0,1),(0,4),(1,6),(2,4),(2,5),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8)=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(4,2),(4,7)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,5),(1,3),(1,6),(1,7),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,2),(5,4)],8)=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
([(0,5),(1,4),(1,6),(6,7),(7,2),(7,3)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(2,5),(2,6),(6,7),(7,3),(7,4)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)=>([(0,7),(1,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,4)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8)=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,4),(0,7),(1,5),(1,7),(5,2),(5,3),(5,6),(7,6)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,6),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,5)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,7),(6,7)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8)=>([(0,7),(1,2),(1,6),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,4),(0,6),(1,3),(1,7),(3,6),(4,5),(4,7),(6,5),(7,2)],8)=>([(0,7),(1,2),(1,7),(2,5),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(6,5)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)=>([(0,2),(0,7),(1,3),(1,7),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,4),(1,6),(3,6),(4,7),(5,3),(5,7),(7,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)=>([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)=>([(0,7),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,4),(0,7),(1,5),(1,7),(5,3),(5,6),(7,2),(7,6)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(3,5),(4,2),(4,6)],8)=>([(0,7),(1,2),(1,5),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2),(7,6)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)=>([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(2,7),(3,7),(4,5),(7,6)],8)=>([(2,3),(4,7),(5,7),(6,7)],8)
([(3,6),(3,7),(4,5),(4,7)],8)=>([(3,7),(4,6),(5,6),(5,7)],8)
([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)=>([(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)=>([(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)=>([(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8)=>([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,7),(1,4),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3)],8)=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(3,7),(4,6),(5,6),(6,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8)
([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8)=>([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)=>([(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)=>([(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)=>([(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,4)],8)=>([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,4),(6,7)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,1),(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,4)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8)=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,5),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,5),(6,7),(7,2)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)=>([(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(6,5)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(5,7),(6,7)],8)
([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8)=>([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(0,3),(0,7),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2),(4,7)],8)=>([(0,7),(1,2),(1,7),(2,5),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8)=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)=>([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(4,7),(7,6)],8)=>([(0,7),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(6,7)],8)=>([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)=>([(0,7),(1,4),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)=>([(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,7),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,7),(1,6),(3,5),(4,3),(5,2),(6,4),(6,7)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)=>([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8)
([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,7),(2,3),(2,4),(2,6),(5,7),(6,5)],8)=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)=>([(0,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7)],8)=>([(0,1),(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8)=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)=>([(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)=>([(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)=>([(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)=>([(0,6),(1,7),(2,4),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(2,7),(3,6),(4,6),(4,7),(7,5)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)=>([(0,6),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8)=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8)=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(6,4)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8)=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8)=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8)=>([(0,7),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,1),(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,7)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)=>([(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(6,7)],8)=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,5),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4)],8)=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,7),(1,4),(1,5),(4,7),(5,3),(5,6),(7,2),(7,6)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(7,4)],8)=>([(0,1),(0,3),(1,2),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8)=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,6),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,4),(5,3),(6,5),(7,6)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,5),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6)],8)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,5),(3,7),(4,6),(5,3),(5,6),(7,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,6),(5,7),(7,2),(7,3),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(7,5),(7,6)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
([(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(6,7)],8)=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8)=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8)=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)=>([(0,3),(0,7),(1,2),(1,5),(2,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8)=>([(0,6),(1,7),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)=>([(0,7),(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,1),(0,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,2),(0,3),(0,4),(2,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,5),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(7,3)],8)=>([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(4,5),(5,6),(6,7)],8)
([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,4),(0,6),(1,5),(1,6),(1,7),(4,7),(5,3),(7,2)],8)=>([(0,7),(1,5),(2,3),(2,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8)=>([(0,7),(1,7),(2,7),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,4),(2,6),(5,7),(6,3),(6,5)],8)=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
([(0,4),(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)=>([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,6),(4,7),(7,5)],8)=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(4,5),(5,6),(6,7)],8)
([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7)],8)=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,4),(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(7,6)],8)=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8)=>([(0,1),(0,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)=>([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(1,6),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,6),(6,5),(7,5)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8)=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,5),(7,4)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,7),(1,4),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,2),(7,5)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,2),(6,3),(7,2),(7,4)],8)=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)=>([(0,7),(1,4),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,7),(1,2),(1,7),(2,5),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,4),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)=>([(0,7),(1,2),(1,5),(2,6),(3,5),(3,7),(4,5),(4,6),(6,7)],8)
([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,7),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)
([(0,6),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8)=>([(0,1),(0,4),(1,6),(2,4),(2,5),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8)=>([(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(4,3),(5,3),(6,4),(6,5)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(5,4),(7,4)],8)=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,3),(1,4),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)=>([(0,1),(0,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,3),(6,5),(7,3)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,2),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,7),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,6),(1,7),(2,4),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,6),(6,4),(7,6)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)=>([(1,7),(2,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
([(0,5),(1,5),(2,4),(2,7),(3,4),(3,6),(5,6),(6,7)],8)=>([(0,7),(1,7),(2,3),(2,5),(3,4),(4,6),(5,6),(6,7)],8)
([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8)=>([(0,7),(1,6),(2,4),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,5)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(5,3),(6,5),(7,5)],8)=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,3)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,5)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8)=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
([(0,6),(1,2),(1,3),(4,7),(5,7),(6,4),(6,5)],8)=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5)],8)=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,3),(0,4),(0,5),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(0,5),(1,3),(1,6),(1,7),(4,2),(5,4),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6)],8)=>([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3),(5,4)],8)=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)=>([(0,6),(1,7),(2,3),(2,7),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(1,5),(1,7),(2,3),(2,6),(3,4),(3,7),(5,6)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7)],8)
([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6)],8)
([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([(0,7),(1,6),(2,3),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,2),(6,5),(6,7)],8)=>([(0,2),(0,7),(1,3),(1,7),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8)=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,6),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)=>([(0,7),(1,2),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,5),(1,3),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
([(2,6),(3,6),(3,7),(4,5),(5,7)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
([(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7),(6,7)],8)=>([(0,6),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,7),(1,3),(1,5),(1,7),(4,6),(5,2),(5,6),(7,4)],8)=>([(0,5),(1,7),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,6),(2,5),(2,7),(6,3),(7,4)],8)=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
([(0,6),(1,3),(2,4),(2,6),(2,7),(3,7),(4,5)],8)=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
([(0,5),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8)=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8)=>([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)=>([(0,6),(1,7),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8)=>([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)=>([(1,6),(2,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)=>([(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)=>([(0,7),(1,2),(1,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(7,5)],8)=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,5),(5,7),(6,7)],8)
([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
([(0,6),(1,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8)=>([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)=>([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6)],8)=>([(0,7),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4)],8)=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7)],8)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(7,4)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(1,4),(2,3),(2,6),(2,7),(4,7),(6,5)],8)=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8)=>([(0,6),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,7)],8)=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8)=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8)=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,2)],8)=>([(0,3),(0,4),(1,2),(1,7),(2,6),(3,6),(4,7),(5,6),(5,7)],8)
([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
([(0,6),(1,5),(1,7),(2,4),(2,7),(6,3)],8)=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8)=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8)=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8)=>([(0,6),(1,2),(1,4),(2,3),(3,7),(4,7),(5,6),(5,7)],8)
([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,7),(1,4),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)=>([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,3),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,3),(0,5),(1,5),(1,6),(2,4),(2,7),(3,2),(3,6),(5,7),(6,4),(6,7)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2),(6,3)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,6),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5)],8)=>([(0,1),(0,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)=>([(0,7),(1,2),(1,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8)=>([(0,1),(0,4),(1,6),(2,4),(2,5),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)=>([(0,7),(1,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8)=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(5,6),(6,7)],8)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8)=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(3,2),(3,4),(4,7),(6,7)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)
([(0,5),(0,6),(1,4),(1,6),(3,2),(3,7),(4,3),(4,5),(5,7),(6,7)],8)=>([(0,7),(1,4),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)=>([(0,7),(1,2),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8)=>([(0,6),(1,7),(2,4),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8)=>([(0,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8)=>([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6)],8)
([(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(7,5),(7,6)],8)=>([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,7),(6,7)],8)
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)=>([(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,7),(4,7),(6,7)],8)
([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8)=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8)=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4)],8)=>([(0,5),(0,6),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)=>([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)=>([(0,8),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)=>([(0,1),(0,8),(1,6),(2,5),(2,8),(3,4),(3,8),(4,6),(4,7),(5,6),(5,7),(7,8)],9)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8)],9)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)=>([(0,4),(0,8),(1,4),(1,8),(2,5),(2,8),(3,5),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>([(0,1),(0,2),(1,8),(2,8),(3,4),(3,6),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>([(0,1),(0,2),(1,8),(2,8),(3,4),(3,6),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,6),(0,7),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,8),(5,8),(6,8),(7,8)],9)
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)=>([(0,8),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9)
([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9)=>([(0,5),(0,8),(1,4),(1,6),(2,6),(2,8),(3,4),(3,5),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>([(0,5),(0,8),(1,4),(1,6),(2,6),(2,8),(3,4),(3,5),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)=>([(0,5),(0,6),(1,7),(1,8),(2,5),(2,6),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8)],9)
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,7),(4,8),(5,8),(6,8)],9)
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9)=>([(0,5),(1,2),(1,6),(2,8),(3,5),(3,7),(4,6),(4,7),(6,8),(7,8)],9)
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9)=>([(0,8),(1,6),(2,3),(2,6),(3,7),(4,7),(4,8),(5,7),(5,8)],9)
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,8),(1,4),(2,6),(2,7),(3,5),(3,8),(4,7),(5,6),(5,7),(6,8)],9)
([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)=>([(0,5),(1,2),(1,6),(2,8),(3,5),(3,7),(4,6),(4,7),(6,8),(7,8)],9)
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9)=>([(0,6),(1,5),(2,5),(2,8),(3,7),(3,8),(4,7),(4,8),(6,7)],9)
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9)=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9)=>([(0,8),(1,4),(2,6),(2,7),(3,5),(3,8),(4,7),(5,6),(5,7),(6,8)],9)
([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9)=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9)=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9)=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9)
([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9)=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9)=>([(0,1),(0,2),(1,8),(2,8),(3,4),(3,6),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9)=>([(0,1),(0,2),(1,8),(2,8),(3,4),(3,6),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10)=>([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10)
([(0,2),(0,3),(0,4),(1,7),(1,9),(2,8),(3,5),(3,8),(4,1),(4,5),(4,8),(5,7),(5,9),(7,6),(8,9),(9,6)],10)=>([(0,5),(0,9),(1,4),(1,8),(2,4),(2,7),(2,8),(3,5),(3,6),(3,9),(4,6),(5,7),(6,7),(6,8),(7,9),(8,9)],10)
([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10)=>([(0,5),(0,8),(1,2),(1,3),(1,9),(2,4),(2,7),(3,7),(3,8),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10)=>([(0,6),(0,9),(1,3),(1,4),(1,5),(2,3),(2,4),(2,9),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>([(0,3),(0,7),(1,2),(1,6),(2,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(7,9)],10)
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10)
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)=>([(0,8),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(7,9)],10)
([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)=>([(0,1),(0,3),(1,2),(2,4),(3,5),(4,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(0,5),(1,2),(1,9),(2,6),(3,7),(3,9),(4,6),(4,8),(5,7),(6,9),(7,8),(8,9)],10)
([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)=>([(0,9),(1,3),(1,8),(2,8),(2,9),(3,5),(4,7),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9)],10)
([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)=>([(0,1),(0,3),(1,2),(2,4),(3,5),(4,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)=>([(0,3),(0,9),(1,2),(1,6),(2,8),(3,5),(4,5),(4,7),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)=>([(0,3),(0,9),(1,2),(1,6),(2,8),(3,5),(4,5),(4,7),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10)=>([(0,3),(0,9),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(5,6),(5,9),(6,8),(7,9),(8,9)],10)
([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)=>([(0,8),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(7,9)],10)
([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10)=>([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10)
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)=>([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)=>([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)=>([(0,9),(1,8),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,8),(5,9),(6,9),(7,9)],10)
([(0,4),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,9),(7,9),(8,9)],10)=>([(0,1),(1,9),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)=>([(0,1),(1,9),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,9),(7,9),(8,9)],10)
([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10)=>([(0,8),(1,2),(1,4),(2,7),(3,5),(3,6),(4,8),(5,9),(6,9),(7,9)],10)
([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10)=>([(0,6),(1,4),(1,6),(2,3),(2,7),(3,9),(4,8),(5,7),(5,8),(7,9),(8,9)],10)
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10)=>([(0,9),(1,7),(2,3),(2,4),(3,7),(4,8),(5,8),(5,9),(6,8),(6,9)],10)
([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10)=>([(0,4),(1,6),(1,7),(2,3),(2,8),(3,9),(4,7),(5,6),(5,7),(5,8),(6,9),(8,9)],10)
([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10)=>([(0,9),(1,5),(2,8),(2,9),(3,5),(3,6),(4,6),(4,7),(6,8),(7,8),(7,9)],10)
([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10)=>([(0,6),(1,4),(1,6),(2,3),(2,7),(3,9),(4,8),(5,7),(5,8),(7,9),(8,9)],10)
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10)=>([(0,7),(1,6),(2,3),(2,6),(3,9),(4,8),(4,9),(5,8),(5,9),(7,8)],10)
([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10)=>([(0,9),(1,8),(2,6),(2,8),(3,7),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9)],10)
([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10)=>([(0,5),(1,2),(1,9),(2,6),(3,7),(3,9),(4,6),(4,8),(5,7),(6,9),(7,8),(8,9)],10)
([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10)=>([(0,5),(1,4),(2,6),(2,9),(3,7),(3,8),(4,6),(5,7),(6,8),(7,9),(8,9)],10)
([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10)=>([(0,9),(1,5),(2,8),(2,9),(3,5),(3,6),(4,6),(4,7),(6,8),(7,8),(7,9)],10)
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10)=>([(0,7),(1,6),(2,6),(2,8),(3,7),(3,9),(4,8),(4,9),(5,8),(5,9)],10)
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10)=>([(0,3),(0,9),(1,2),(1,6),(2,8),(3,5),(4,5),(4,7),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10)=>([(0,4),(1,6),(1,7),(2,3),(2,8),(3,9),(4,7),(5,6),(5,7),(5,8),(6,9),(8,9)],10)
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10)=>([(0,8),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(7,9)],10)
([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)=>([(0,8),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(7,9)],10)
([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10)=>([(0,3),(0,9),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(5,6),(5,9),(6,8),(7,9),(8,9)],10)
([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)=>([(0,3),(0,9),(1,2),(1,6),(2,8),(3,5),(4,5),(4,7),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)=>([(0,1),(0,9),(1,7),(2,6),(2,9),(3,6),(3,9),(4,7),(4,9),(5,8),(5,9),(6,8),(7,8)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10)=>([(0,1),(0,9),(1,8),(2,7),(2,9),(3,7),(3,9),(4,6),(4,9),(5,6),(5,9),(6,8),(7,8)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)=>([(0,7),(0,9),(1,7),(1,9),(2,8),(2,9),(3,6),(3,9),(4,6),(4,9),(5,6),(5,8),(7,8)],10)
([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11)=>([(0,9),(0,10),(1,8),(1,10),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,8),(5,9),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10)],11)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11)=>([(0,9),(0,10),(1,5),(1,6),(1,10),(2,3),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(4,9),(4,10),(5,8),(6,7),(7,9),(7,10),(8,9),(8,10)],11)
([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11)=>([(0,9),(0,10),(1,2),(1,3),(1,6),(2,5),(2,7),(3,7),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(6,9),(6,10),(7,8),(8,9),(8,10)],11)
([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)=>([(0,1),(0,2),(1,4),(2,3),(3,8),(4,9),(5,7),(5,8),(6,7),(6,9),(7,10),(8,10),(9,10)],11)
([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)=>([(0,10),(1,6),(1,10),(2,3),(2,8),(3,9),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(7,10),(8,9)],11)
([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(0,9),(1,5),(2,9),(2,10),(3,7),(3,10),(4,6),(4,8),(5,7),(6,9),(6,10),(7,8),(8,10)],11)
([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>([(0,9),(1,7),(1,8),(2,9),(2,10),(3,4),(3,5),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(8,10)],11)
([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(0,9),(1,5),(2,9),(2,10),(3,7),(3,10),(4,6),(4,8),(5,7),(6,9),(6,10),(7,8),(8,10)],11)
([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)=>([(0,1),(0,9),(1,8),(2,5),(2,9),(3,5),(3,6),(4,6),(4,7),(5,10),(6,10),(7,8),(7,10),(8,9),(9,10)],11)
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)=>([(0,8),(1,8),(1,10),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,10),(5,6),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11)=>([(0,1),(0,9),(1,8),(2,5),(2,9),(3,5),(3,6),(4,6),(4,7),(5,10),(6,10),(7,8),(7,10),(8,9),(9,10)],11)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)=>([(0,2),(0,10),(1,2),(1,10),(3,4),(3,5),(3,6),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,10),(8,10),(9,10)],11)
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)=>([(0,10),(1,2),(1,8),(2,9),(3,4),(3,5),(3,10),(4,7),(4,8),(5,6),(5,8),(6,9),(6,10),(7,9),(7,10),(8,9)],11)
([(0,3),(0,4),(0,5),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,10),(7,10),(8,2),(8,10),(9,1),(10,9)],11)=>([(0,8),(1,8),(1,10),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,10),(5,6),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
([(0,4),(0,5),(2,7),(2,9),(3,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,8),(6,9),(7,10),(8,10),(9,10),(10,1)],11)=>([(0,10),(1,2),(1,8),(2,9),(3,4),(3,5),(3,10),(4,7),(4,8),(5,6),(5,8),(6,9),(6,10),(7,9),(7,10),(8,9)],11)
([(0,4),(0,5),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,9),(5,9),(6,10),(7,10),(8,10),(9,1),(9,2),(9,3)],11)=>([(0,2),(0,10),(1,2),(1,10),(3,4),(3,5),(3,6),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,10),(8,10),(9,10)],11)
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11)=>([(0,1),(0,9),(1,8),(2,5),(2,9),(3,5),(3,6),(4,6),(4,7),(5,10),(6,10),(7,8),(7,10),(8,9),(9,10)],11)
([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11)=>([(0,1),(0,9),(1,8),(2,5),(2,9),(3,5),(3,6),(4,6),(4,7),(5,10),(6,10),(7,8),(7,10),(8,9),(9,10)],11)
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)=>([(0,7),(0,8),(1,6),(1,10),(2,5),(2,10),(3,5),(3,9),(3,10),(4,6),(4,9),(4,10),(5,7),(6,8),(7,9),(8,9)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)=>([(0,7),(0,10),(1,6),(1,10),(2,5),(2,10),(3,5),(3,10),(4,6),(4,8),(5,7),(6,9),(7,8),(8,9),(9,10)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)=>([(0,9),(0,10),(1,9),(1,10),(2,7),(2,10),(3,7),(3,10),(4,6),(4,10),(5,6),(5,8),(6,9),(7,8),(8,9)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)=>([(0,9),(0,10),(1,8),(1,10),(2,7),(2,10),(3,6),(3,10),(4,6),(4,10),(5,7),(5,8),(6,9),(7,9),(8,9)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)=>([(0,1),(0,10),(1,5),(2,7),(2,10),(3,6),(3,10),(4,5),(4,10),(5,9),(6,8),(6,9),(7,8),(7,9),(8,10)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)=>([(0,1),(0,10),(1,7),(2,6),(2,10),(3,5),(3,10),(4,5),(4,10),(5,9),(6,7),(6,8),(7,9),(8,9),(8,10)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11)=>([(0,3),(0,10),(1,9),(1,10),(2,9),(2,10),(3,8),(4,7),(4,10),(5,6),(5,10),(6,8),(6,9),(7,8),(7,9)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11)=>([(0,6),(0,10),(1,6),(1,10),(2,5),(2,10),(3,5),(3,10),(4,7),(4,8),(5,8),(6,7),(7,9),(8,9),(9,10)],11)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11)=>([(0,7),(0,10),(1,6),(1,10),(2,5),(2,10),(3,5),(3,10),(4,5),(4,8),(6,8),(6,9),(7,8),(7,9),(9,10)],11)
([(0,10),(1,9),(2,8),(3,8),(3,9),(3,10),(5,11),(6,11),(7,11),(8,5),(8,6),(9,5),(9,7),(10,6),(10,7),(11,4)],12)=>([(0,11),(1,10),(2,9),(3,8),(4,8),(4,9),(4,10),(5,8),(5,9),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11)],12)
([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12)=>([(0,9),(0,11),(1,8),(1,10),(2,6),(2,7),(2,8),(2,10),(3,5),(3,7),(3,8),(3,10),(4,5),(4,6),(4,8),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(10,11)],12)
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12)=>([(0,9),(0,10),(1,4),(1,7),(1,10),(2,3),(2,6),(2,9),(3,8),(3,11),(4,8),(4,11),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(9,11),(10,11)],12)
([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>([(0,5),(0,9),(1,4),(1,9),(2,6),(2,8),(3,7),(3,8),(4,6),(4,10),(5,7),(5,10),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)=>([(0,3),(0,11),(1,2),(1,8),(2,9),(3,10),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,10),(7,11),(8,9),(10,11)],12)
([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)=>([(0,9),(1,7),(1,8),(2,7),(2,11),(3,6),(3,8),(4,9),(4,11),(5,6),(5,9),(5,11),(6,10),(7,10),(8,10),(10,11)],12)
([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12)=>([(0,1),(0,3),(1,2),(2,4),(3,5),(4,10),(5,11),(6,7),(6,8),(7,9),(8,9),(8,10),(9,11),(10,11)],12)
([(0,3),(0,8),(1,10),(2,9),(3,11),(4,2),(5,4),(6,7),(7,1),(7,9),(8,5),(8,11),(9,10),(11,6)],12)=>([(0,5),(0,6),(1,4),(1,9),(2,3),(2,8),(3,10),(4,11),(5,8),(6,9),(7,10),(7,11),(8,10),(9,11)],12)
([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)=>([(0,7),(0,11),(1,5),(1,8),(2,6),(2,8),(3,4),(3,7),(3,11),(4,5),(4,9),(5,10),(6,10),(6,11),(7,9),(8,10),(9,10),(9,11)],12)
([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)=>([(0,7),(0,11),(1,5),(1,6),(2,3),(2,4),(2,11),(3,6),(3,9),(4,5),(4,8),(5,10),(6,10),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)=>([(0,5),(0,6),(1,7),(1,10),(2,4),(2,10),(3,6),(3,8),(3,11),(4,5),(4,11),(5,9),(6,9),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)=>([(0,7),(0,11),(1,5),(1,6),(2,3),(2,10),(2,11),(3,5),(3,8),(4,6),(4,8),(4,9),(5,10),(6,10),(7,8),(7,9),(8,11),(9,10),(9,11)],12)
([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)=>([(0,9),(0,11),(1,7),(1,8),(2,5),(2,9),(2,11),(3,4),(3,9),(3,11),(4,7),(4,10),(5,8),(5,10),(6,7),(6,8),(6,10),(10,11)],12)
([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)=>([(0,4),(0,5),(1,2),(1,3),(2,8),(2,9),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)=>([(0,4),(0,5),(0,9),(1,2),(1,3),(1,9),(2,6),(2,11),(3,6),(3,10),(4,7),(4,10),(5,7),(5,11),(6,8),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)=>([(0,3),(0,11),(1,2),(1,8),(2,9),(3,10),(4,7),(4,8),(4,10),(5,6),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(10,11)],12)
([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)=>([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,10),(5,6),(5,10),(6,11),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)=>([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,10),(5,6),(5,10),(6,11),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
([(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(3,10),(4,6),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(10,2),(10,11),(11,1),(11,8)],12)=>([(0,9),(0,10),(1,2),(1,9),(2,11),(3,4),(3,5),(3,6),(4,7),(4,8),(5,8),(5,11),(6,7),(6,11),(7,10),(8,10),(9,11),(10,11)],12)
([(0,4),(0,5),(1,8),(2,7),(2,9),(3,7),(3,10),(4,6),(5,2),(5,3),(5,6),(6,9),(6,10),(7,11),(9,11),(10,1),(10,11),(11,8)],12)=>([(0,3),(0,9),(1,2),(1,8),(2,10),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(7,9),(8,10),(9,11),(10,11)],12)
([(0,4),(0,5),(1,7),(1,9),(2,7),(2,8),(3,6),(4,10),(5,3),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,1),(10,2),(10,6)],12)=>([(0,9),(0,10),(1,2),(1,9),(2,11),(3,4),(3,5),(3,6),(4,7),(4,8),(5,8),(5,11),(6,7),(6,11),(7,10),(8,10),(9,11),(10,11)],12)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)=>([(0,9),(0,10),(1,10),(1,11),(2,8),(2,11),(3,7),(3,11),(4,7),(4,8),(4,9),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11)],12)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12)=>([(0,6),(0,11),(1,5),(1,11),(2,8),(2,11),(3,7),(3,11),(4,5),(4,6),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11)],12)
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13)=>([(0,11),(0,12),(1,4),(1,5),(1,11),(2,3),(2,9),(2,12),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,8),(5,10),(6,9),(6,11),(6,12),(7,9),(7,11),(7,12),(8,9),(10,11),(10,12)],13)
([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)=>([(0,11),(0,12),(1,6),(1,7),(1,8),(2,7),(2,8),(2,10),(3,9),(3,11),(3,12),(4,5),(4,7),(4,8),(4,10),(5,9),(5,11),(5,12),(6,9),(6,11),(6,12),(7,12),(8,9),(9,10),(10,11),(10,12)],13)
([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13)=>([(0,10),(0,12),(1,9),(1,10),(1,12),(2,3),(2,8),(2,12),(3,6),(3,11),(4,5),(4,6),(4,11),(5,9),(5,10),(5,12),(6,8),(6,9),(7,8),(7,9),(7,10),(7,12),(8,11),(9,11),(10,11),(11,12)],13)
([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)=>([(0,1),(0,2),(1,4),(2,6),(3,5),(3,12),(4,8),(5,9),(6,10),(7,8),(7,12),(8,11),(9,10),(9,12),(10,11),(11,12)],13)
([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>([(0,10),(1,6),(1,8),(2,5),(2,9),(3,7),(3,9),(4,7),(4,10),(4,12),(5,6),(5,11),(6,12),(7,11),(8,10),(8,12),(9,11),(11,12)],13)
([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)=>([(0,10),(1,3),(1,11),(2,10),(2,12),(3,6),(4,6),(4,8),(5,7),(5,9),(6,11),(7,10),(7,12),(8,11),(8,12),(9,11),(9,12)],13)
([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13)=>([(0,12),(1,10),(1,12),(2,9),(2,12),(3,6),(3,9),(4,7),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(8,10),(8,12),(9,11),(10,11)],13)
([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)=>([(0,8),(0,9),(1,9),(1,11),(2,8),(2,10),(3,5),(3,6),(3,7),(4,5),(4,6),(4,12),(5,10),(6,11),(7,10),(7,11),(8,12),(9,12),(10,12),(11,12)],13)
([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)=>([(0,11),(0,12),(1,8),(1,12),(2,6),(2,7),(3,4),(3,11),(3,12),(4,5),(4,6),(5,9),(5,11),(6,9),(7,8),(7,9),(8,10),(9,10),(10,11),(10,12)],13)
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)=>([(0,12),(1,3),(1,4),(1,10),(2,3),(2,4),(2,9),(3,8),(4,11),(5,6),(5,7),(5,8),(6,9),(6,12),(7,10),(7,12),(8,9),(8,10),(9,11),(10,11),(11,12)],13)
([(0,3),(0,4),(0,5),(1,11),(2,10),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(7,12),(8,2),(8,12),(9,1),(9,12),(10,6),(11,6),(12,10),(12,11)],13)=>([(0,8),(0,9),(1,9),(1,11),(2,8),(2,10),(3,5),(3,6),(3,7),(4,5),(4,6),(4,12),(5,10),(6,11),(7,10),(7,11),(8,12),(9,12),(10,12),(11,12)],13)
([(0,3),(0,4),(0,5),(2,9),(2,10),(3,6),(3,8),(4,6),(4,7),(5,2),(5,7),(5,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13)=>([(0,12),(1,3),(1,4),(1,10),(2,3),(2,4),(2,9),(3,8),(4,11),(5,6),(5,7),(5,8),(6,9),(6,12),(7,10),(7,12),(8,9),(8,10),(9,11),(10,11),(11,12)],13)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)=>([(0,8),(0,9),(1,7),(1,12),(2,10),(2,12),(3,10),(3,12),(4,6),(4,9),(4,10),(5,7),(5,11),(5,12),(6,11),(6,12),(7,8),(8,11),(9,11)],13)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)=>([(0,10),(0,12),(1,10),(1,12),(2,8),(2,12),(3,9),(3,12),(4,5),(4,6),(5,8),(5,11),(6,9),(6,11),(7,9),(7,11),(7,12),(8,10),(10,11)],13)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)=>([(0,10),(0,12),(1,9),(1,12),(2,3),(2,4),(3,12),(4,5),(4,6),(5,9),(5,11),(6,10),(6,11),(7,9),(7,11),(7,12),(8,10),(8,11),(8,12)],13)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14)=>([(0,11),(0,12),(1,9),(1,10),(1,13),(2,7),(2,8),(2,11),(2,12),(3,6),(3,8),(3,11),(3,12),(4,5),(4,8),(4,11),(4,12),(5,9),(5,10),(5,13),(6,9),(6,10),(6,13),(7,9),(7,10),(7,13),(8,9),(8,13),(10,12),(11,13),(12,13)],14)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14)=>([(0,9),(0,13),(1,8),(1,11),(1,12),(2,4),(2,5),(2,13),(3,6),(3,7),(3,9),(3,13),(4,8),(4,10),(4,12),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14)
([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)=>([(0,10),(1,4),(1,12),(2,10),(2,11),(3,11),(3,12),(4,8),(5,6),(5,7),(6,9),(6,13),(7,8),(7,13),(8,12),(9,10),(9,11),(11,13),(12,13)],14)
([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)=>([(0,10),(1,9),(1,12),(2,8),(2,11),(3,5),(3,6),(3,7),(4,5),(4,6),(4,13),(5,11),(6,12),(7,11),(7,12),(8,10),(8,13),(9,10),(9,13),(11,13),(12,13)],14)
([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)=>([(0,1),(0,2),(1,4),(2,3),(3,10),(4,11),(5,7),(5,8),(6,7),(6,9),(7,13),(8,10),(8,13),(9,11),(9,13),(10,12),(11,12),(12,13)],14)
([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)=>([(0,11),(1,10),(2,6),(2,8),(3,7),(3,9),(4,10),(4,12),(5,11),(5,13),(6,10),(6,12),(7,11),(7,13),(8,12),(8,13),(9,12),(9,13)],14)
([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14)=>([(0,1),(0,2),(1,3),(2,8),(3,9),(4,7),(4,8),(5,7),(5,10),(6,9),(6,11),(7,13),(8,13),(9,12),(10,11),(10,13),(11,12),(12,13)],14)
([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)=>([(0,13),(1,11),(1,12),(2,4),(2,11),(3,4),(3,10),(5,6),(5,7),(5,8),(6,10),(6,13),(7,11),(7,12),(8,12),(8,13),(9,10),(9,12),(9,13)],14)
([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,8),(2,9),(3,10),(3,11),(4,9),(4,13),(5,8),(5,13),(6,11),(6,13),(7,10),(7,13),(8,12),(9,12),(10,12),(11,12),(12,13)],14)
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)=>([(0,1),(0,13),(1,12),(2,3),(2,4),(2,8),(3,5),(3,9),(4,5),(4,10),(5,11),(6,7),(6,8),(6,12),(7,9),(7,13),(8,9),(8,10),(9,11),(10,11),(10,12),(11,13),(12,13)],14)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,1),(12,13),(13,8)],14)=>([(0,1),(0,12),(1,13),(2,5),(2,6),(2,13),(3,5),(3,6),(3,11),(4,7),(4,8),(4,11),(5,10),(6,9),(7,9),(7,12),(8,10),(8,12),(9,11),(9,13),(10,11),(10,13),(12,13)],14)
([(0,1),(0,2),(1,11),(2,4),(2,5),(2,11),(3,6),(3,7),(4,8),(4,10),(5,8),(5,9),(6,13),(7,13),(8,12),(9,6),(9,12),(10,7),(10,12),(11,3),(11,9),(11,10),(12,13)],14)=>([(0,1),(0,12),(1,13),(2,5),(2,6),(2,13),(3,5),(3,6),(3,11),(4,7),(4,8),(4,11),(5,10),(6,9),(7,9),(7,12),(8,10),(8,12),(9,11),(9,13),(10,11),(10,13),(12,13)],14)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,1),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8)],14)=>([(0,1),(0,13),(1,12),(2,3),(2,4),(2,8),(3,5),(3,9),(4,5),(4,10),(5,11),(6,7),(6,8),(6,12),(7,9),(7,13),(8,9),(8,10),(9,11),(10,11),(10,12),(11,13),(12,13)],14)
([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15)=>([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,12),(2,7),(2,11),(2,12),(3,7),(3,9),(3,10),(4,6),(4,10),(4,12),(5,6),(5,9),(5,11),(6,14),(7,13),(9,13),(9,14),(10,13),(10,14),(11,13),(11,14),(12,13),(12,14),(13,8),(14,8)],15)=>([(0,13),(0,14),(1,5),(1,6),(1,14),(2,3),(2,4),(2,13),(3,10),(3,11),(3,12),(4,8),(4,9),(4,12),(5,9),(5,11),(5,12),(6,8),(6,10),(6,12),(7,8),(7,9),(7,10),(7,11),(7,12),(8,13),(8,14),(9,13),(9,14),(10,13),(10,14),(11,13),(11,14)],15)
([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)=>([(0,7),(0,11),(1,6),(1,10),(2,8),(2,10),(3,9),(3,11),(4,8),(4,9),(4,14),(5,6),(5,7),(5,14),(6,12),(7,13),(8,12),(9,13),(10,12),(11,13),(12,14),(13,14)],15)
([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)=>([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15)
([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)=>([(0,4),(0,5),(1,2),(1,3),(2,10),(3,9),(4,11),(5,12),(6,9),(6,11),(7,10),(7,12),(8,13),(8,14),(9,13),(10,14),(11,13),(12,14)],15)
([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)=>([(0,11),(1,8),(1,14),(2,7),(2,10),(3,9),(3,10),(4,11),(4,14),(5,6),(5,11),(5,14),(6,9),(6,12),(7,8),(7,13),(8,12),(9,13),(10,13),(12,13),(12,14)],15)
([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15)=>([(0,4),(0,5),(1,2),(1,3),(2,10),(3,9),(4,11),(5,12),(6,9),(6,11),(7,10),(7,12),(8,13),(8,14),(9,13),(10,14),(11,13),(12,14)],15)
([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)=>([(0,2),(0,6),(1,2),(1,5),(3,4),(3,11),(4,9),(5,10),(6,8),(7,8),(7,14),(8,13),(9,11),(9,14),(10,12),(10,13),(11,12),(12,14),(13,14)],15)
([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)=>([(0,9),(0,14),(1,7),(1,10),(2,8),(2,10),(3,4),(3,9),(3,14),(4,5),(4,11),(5,7),(5,13),(6,8),(6,13),(6,14),(7,12),(8,12),(9,11),(10,12),(11,13),(11,14),(12,13)],15)
([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)=>([(0,5),(0,14),(1,6),(1,7),(2,12),(2,13),(2,14),(3,6),(3,12),(3,13),(4,7),(4,11),(4,13),(5,8),(5,9),(6,10),(7,10),(8,11),(8,13),(8,14),(9,11),(9,12),(9,14),(10,11),(10,12)],15)
([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)=>([(0,6),(0,7),(1,8),(1,12),(2,5),(2,12),(3,5),(3,7),(3,14),(4,6),(4,11),(4,14),(5,13),(6,9),(7,9),(8,10),(8,13),(9,11),(9,14),(10,11),(10,12),(10,14),(11,13),(12,13),(13,14)],15)
([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)=>([(0,5),(0,14),(1,6),(1,7),(2,12),(2,13),(2,14),(3,7),(3,11),(3,13),(4,6),(4,11),(4,12),(5,8),(5,9),(6,10),(7,10),(8,11),(8,12),(8,14),(9,11),(9,13),(9,14),(10,12),(10,13)],15)
([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)=>([(0,11),(0,14),(1,9),(1,10),(2,5),(2,11),(2,14),(3,4),(3,11),(3,14),(4,6),(4,13),(5,7),(5,13),(6,9),(6,12),(7,10),(7,12),(8,9),(8,10),(8,12),(12,13),(13,14)],15)
([(0,3),(0,4),(0,5),(1,10),(2,7),(2,8),(3,9),(3,12),(4,9),(4,11),(5,2),(5,11),(5,12),(7,14),(8,14),(9,1),(9,13),(10,6),(11,7),(11,13),(12,8),(12,13),(13,10),(13,14),(14,6)],15)=>([(0,8),(0,13),(1,8),(1,12),(2,4),(2,5),(2,11),(3,6),(3,7),(3,11),(4,10),(4,12),(5,9),(5,12),(6,9),(6,13),(7,10),(7,13),(8,14),(9,11),(9,14),(10,11),(10,14),(12,14),(13,14)],15)
([(0,2),(0,3),(1,11),(2,1),(2,12),(3,4),(3,5),(3,12),(4,8),(4,10),(5,8),(5,9),(6,14),(7,14),(8,13),(9,6),(9,13),(10,7),(10,13),(11,6),(11,7),(12,9),(12,10),(12,11),(13,14)],15)=>([(0,8),(0,13),(1,8),(1,12),(2,4),(2,5),(2,11),(3,6),(3,7),(3,11),(4,10),(4,12),(5,9),(5,12),(6,9),(6,13),(7,10),(7,13),(8,14),(9,11),(9,14),(10,11),(10,14),(12,14),(13,14)],15)
([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16)=>([(0,15),(1,11),(2,10),(3,13),(3,15),(4,14),(4,15),(5,10),(5,13),(6,11),(6,14),(7,8),(7,9),(7,12),(8,10),(8,13),(9,11),(9,14),(12,13),(12,14),(12,15)],16)
([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)=>([(0,10),(0,11),(1,6),(1,7),(2,5),(2,9),(3,4),(3,8),(4,6),(4,13),(5,7),(5,14),(6,12),(7,12),(8,10),(8,13),(9,11),(9,14),(10,15),(11,15),(12,13),(12,14),(13,15),(14,15)],16)
([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)=>([(0,10),(1,8),(1,14),(2,9),(2,13),(3,4),(3,11),(4,12),(5,7),(5,11),(5,13),(6,11),(6,13),(6,14),(7,12),(7,15),(8,10),(8,15),(9,10),(9,15),(11,12),(12,14),(13,15),(14,15)],16)
([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16)=>([(0,11),(1,4),(2,10),(2,14),(3,9),(3,13),(4,12),(5,6),(5,7),(5,15),(6,12),(6,13),(7,12),(7,14),(8,12),(8,13),(8,14),(9,11),(9,15),(10,11),(10,15),(13,15),(14,15)],16)
([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)=>([(0,7),(0,15),(1,5),(1,14),(2,6),(2,8),(3,4),(3,13),(3,15),(4,6),(4,10),(5,12),(5,13),(6,11),(7,8),(7,9),(8,11),(9,11),(9,12),(9,15),(10,11),(10,12),(10,13),(12,14),(13,14),(14,15)],16)
([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)=>([(0,5),(0,7),(1,6),(1,8),(2,9),(2,14),(3,4),(3,8),(3,13),(4,10),(4,15),(5,6),(5,11),(6,12),(7,11),(7,14),(8,12),(9,10),(9,15),(10,13),(10,14),(11,12),(11,15),(12,13),(13,15),(14,15)],16)
([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)=>([(0,9),(0,15),(1,7),(1,8),(2,5),(2,6),(2,8),(3,4),(3,7),(3,14),(4,10),(4,12),(5,11),(5,13),(6,10),(6,11),(7,13),(8,13),(9,10),(9,12),(10,15),(11,14),(11,15),(12,14),(12,15),(13,14)],16)
([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)=>([(0,7),(0,13),(1,8),(1,9),(2,4),(2,5),(2,14),(3,6),(3,14),(3,15),(4,10),(4,13),(5,8),(5,10),(6,9),(6,11),(7,14),(7,15),(8,12),(9,12),(10,12),(10,15),(11,12),(11,14),(11,15),(13,14),(13,15)],16)
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)=>([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)=>([(0,6),(0,7),(0,15),(1,3),(1,4),(1,10),(2,3),(2,4),(2,9),(3,8),(4,12),(5,6),(5,7),(5,11),(6,13),(7,14),(8,9),(8,10),(8,11),(9,12),(9,13),(10,12),(10,14),(11,13),(11,14),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(2,10),(3,9),(3,11),(4,9),(4,12),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,15),(10,6),(10,13),(11,8),(11,15),(12,1),(12,10),(12,15),(13,14),(15,7),(15,13)],16)=>([(0,3),(0,5),(0,14),(1,2),(1,4),(1,14),(2,6),(2,15),(3,7),(3,15),(4,6),(4,10),(5,7),(5,11),(6,12),(7,13),(8,9),(8,12),(8,13),(9,10),(9,11),(10,12),(10,14),(11,13),(11,14),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)=>([(0,10),(0,11),(1,9),(1,15),(2,8),(2,15),(3,8),(3,10),(3,12),(4,9),(4,11),(4,13),(5,8),(5,12),(5,15),(6,9),(6,13),(6,15),(7,12),(7,13),(7,15),(10,14),(11,14),(12,14),(13,14)],16)
([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17)=>([(0,1),(0,2),(1,3),(2,10),(3,8),(4,10),(4,14),(5,9),(5,14),(6,9),(6,13),(7,8),(7,11),(8,16),(9,15),(10,12),(11,13),(11,16),(12,14),(12,16),(13,15),(14,15),(15,16)],17)
([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)=>([(0,3),(0,4),(1,2),(1,9),(2,13),(3,10),(4,11),(5,10),(5,12),(6,9),(6,12),(7,11),(7,16),(8,14),(8,15),(9,13),(10,14),(11,15),(12,14),(13,16),(15,16)],17)
([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)=>([(0,15),(0,16),(1,7),(1,10),(2,8),(2,9),(3,4),(3,5),(3,6),(4,15),(4,16),(5,11),(5,15),(6,8),(6,11),(7,14),(7,16),(8,13),(9,10),(9,13),(10,14),(11,12),(11,13),(12,14),(12,15),(12,16),(13,14)],17)
([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)=>([(0,8),(0,9),(1,7),(1,15),(2,6),(2,14),(3,14),(3,15),(4,6),(4,8),(4,12),(5,7),(5,9),(5,13),(6,16),(7,16),(8,10),(9,10),(10,12),(10,13),(11,12),(11,13),(11,14),(11,15),(12,16),(13,16),(14,16),(15,16)],17)
([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)=>([(0,15),(0,16),(1,8),(1,9),(2,3),(2,4),(2,16),(3,6),(3,11),(4,5),(4,10),(5,8),(5,12),(6,9),(6,13),(7,12),(7,13),(7,15),(8,14),(9,14),(10,12),(10,15),(10,16),(11,13),(11,15),(11,16),(12,14),(13,14)],17)
([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)=>([(0,7),(0,15),(1,14),(1,15),(2,8),(2,9),(3,5),(3,8),(3,12),(4,7),(4,9),(4,11),(5,10),(5,16),(6,11),(6,12),(6,14),(7,16),(8,13),(9,13),(10,12),(10,14),(10,15),(11,13),(11,16),(12,13),(14,16),(15,16)],17)
([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)=>([(0,15),(0,16),(1,10),(1,16),(2,8),(2,9),(3,5),(3,15),(3,16),(4,5),(4,7),(4,9),(5,11),(6,8),(6,10),(6,14),(7,11),(7,13),(8,13),(9,13),(10,12),(11,14),(11,15),(12,14),(12,15),(12,16),(13,14)],17)
([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)=>([(0,15),(0,16),(1,8),(1,9),(2,5),(2,7),(2,10),(3,4),(3,6),(3,10),(4,11),(4,15),(5,12),(5,16),(6,8),(6,11),(7,9),(7,12),(8,14),(9,14),(10,15),(10,16),(11,13),(11,14),(12,13),(12,14),(13,15),(13,16)],17)
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)=>([(0,16),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)=>([(0,16),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)=>([(0,12),(1,9),(1,10),(2,16),(2,17),(3,8),(3,11),(4,11),(4,17),(5,12),(5,16),(6,7),(6,12),(6,16),(7,10),(7,13),(8,9),(8,14),(9,15),(10,15),(11,14),(13,15),(13,16),(13,17),(14,15),(14,17)],18)
([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18)=>([(0,10),(0,16),(1,4),(1,13),(2,5),(2,7),(3,4),(3,5),(6,11),(6,12),(6,14),(7,8),(7,10),(8,13),(8,17),(9,11),(9,12),(9,17),(10,17),(11,15),(12,16),(13,15),(14,15),(14,16),(15,17),(16,17)],18)
([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18)=>([(0,3),(0,4),(1,2),(1,11),(2,9),(3,12),(4,15),(5,11),(5,12),(6,13),(6,16),(7,10),(7,14),(8,9),(8,10),(9,17),(10,17),(11,16),(12,16),(13,15),(13,17),(14,15),(14,17)],18)
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)=>([(0,1),(0,17),(1,16),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,17)],18)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)=>([(0,1),(0,17),(1,16),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,17)],18)
([(0,3),(0,4),(0,5),(1,8),(1,10),(2,7),(2,9),(3,11),(3,12),(4,2),(4,11),(4,13),(5,1),(5,12),(5,13),(6,17),(7,15),(8,16),(9,6),(9,15),(10,6),(10,16),(11,7),(11,14),(12,8),(12,14),(13,9),(13,10),(13,14),(14,15),(14,16),(15,17),(16,17)],18)=>([(0,7),(0,10),(0,11),(1,4),(1,8),(1,9),(2,6),(2,9),(2,11),(3,5),(3,8),(3,10),(4,12),(4,13),(5,12),(5,14),(6,13),(6,15),(7,14),(7,15),(8,12),(8,17),(9,13),(9,17),(10,14),(10,17),(11,15),(11,17),(12,16),(13,16),(14,16),(15,16),(16,17)],18)
([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)=>([(0,12),(1,10),(1,11),(2,11),(2,14),(3,10),(3,13),(4,8),(4,15),(5,9),(5,16),(6,15),(6,16),(6,17),(7,13),(7,14),(7,18),(8,12),(8,18),(9,12),(9,18),(10,17),(11,17),(13,15),(13,17),(14,16),(14,17),(15,18),(16,18)],19)
([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)=>([(0,11),(1,10),(1,16),(2,9),(2,15),(3,9),(3,11),(3,17),(4,6),(4,7),(4,14),(5,8),(5,14),(5,16),(6,12),(6,15),(7,13),(7,15),(8,12),(8,17),(9,18),(10,11),(10,17),(12,14),(12,18),(13,14),(13,16),(13,18),(15,18),(16,17),(17,18)],19)
([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19)=>([(0,18),(1,11),(1,12),(2,15),(2,17),(3,14),(3,16),(4,5),(4,6),(4,9),(5,11),(5,16),(6,11),(6,17),(7,12),(7,14),(7,18),(8,12),(8,15),(8,18),(9,16),(9,17),(10,14),(10,15),(10,18),(13,14),(13,15),(13,16),(13,17)],19)
([(0,13),(1,16),(2,15),(3,13),(3,17),(4,15),(4,16),(4,17),(6,10),(7,19),(8,19),(9,18),(10,5),(11,7),(11,18),(12,8),(12,18),(13,14),(14,7),(14,8),(15,9),(15,11),(16,9),(16,12),(17,11),(17,12),(17,14),(18,6),(18,19),(19,10)],20)=>([(0,17),(1,16),(2,11),(3,10),(4,10),(4,18),(5,11),(5,19),(6,16),(6,17),(6,18),(7,16),(7,17),(7,19),(8,12),(8,13),(8,14),(9,12),(9,13),(9,15),(10,12),(11,13),(12,18),(13,19),(14,16),(14,18),(14,19),(15,17),(15,18),(15,19)],20)
([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)=>([(0,13),(1,12),(2,9),(2,15),(3,8),(3,14),(4,10),(4,16),(5,11),(5,17),(6,16),(6,17),(6,18),(7,14),(7,15),(7,19),(8,12),(8,18),(9,12),(9,18),(10,13),(10,19),(11,13),(11,19),(14,16),(14,18),(15,17),(15,18),(16,19),(17,19)],20)
([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)=>([(0,15),(0,18),(1,14),(1,18),(2,16),(2,19),(3,17),(3,19),(4,6),(4,14),(5,7),(5,15),(6,16),(7,17),(8,9),(8,12),(8,13),(9,10),(9,11),(10,14),(10,18),(11,15),(11,18),(12,16),(12,19),(13,17),(13,19)],20)
([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)=>([(0,13),(1,18),(1,19),(2,17),(2,19),(3,11),(3,12),(4,13),(4,18),(5,6),(5,7),(6,17),(7,9),(7,17),(8,10),(8,13),(8,18),(9,11),(9,15),(10,12),(10,14),(11,16),(12,16),(14,16),(14,18),(14,19),(15,16),(15,17),(15,19)],20)
([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20)=>([(0,1),(0,2),(1,5),(2,7),(3,4),(3,16),(4,17),(5,9),(6,10),(6,15),(7,13),(8,15),(8,17),(8,18),(9,14),(9,18),(10,13),(10,19),(11,12),(11,17),(11,18),(12,16),(12,19),(13,14),(14,19),(15,16),(15,19),(16,17),(18,19)],20)
([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20)=>([(0,19),(1,18),(2,11),(2,12),(3,15),(3,17),(4,14),(4,16),(5,11),(5,14),(5,18),(6,11),(6,15),(6,18),(7,12),(7,16),(7,19),(8,12),(8,17),(8,19),(9,14),(9,15),(9,18),(10,16),(10,17),(10,19),(13,14),(13,15),(13,16),(13,17)],20)
([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)=>([(0,2),(0,3),(0,19),(1,2),(1,3),(1,18),(2,17),(3,16),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,10),(5,11),(6,12),(6,13),(7,14),(7,15),(8,13),(8,15),(8,16),(9,12),(9,14),(9,16),(10,12),(10,14),(10,17),(11,13),(11,15),(11,17),(12,18),(13,18),(14,19),(15,19),(16,18),(16,19),(17,18),(17,19)],20)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)=>([(0,2),(0,3),(0,19),(1,2),(1,3),(1,18),(2,17),(3,16),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,10),(5,11),(6,12),(6,13),(7,14),(7,15),(8,13),(8,15),(8,16),(9,12),(9,14),(9,16),(10,12),(10,14),(10,17),(11,13),(11,15),(11,17),(12,18),(13,18),(14,19),(15,19),(16,18),(16,19),(17,18),(17,19)],20)
([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,13),(4,18),(5,14),(5,19),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,17),(16,10),(16,17),(17,11),(17,12),(18,7),(18,15),(19,8),(19,16),(20,15),(20,16)],21)=>([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21)
([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)=>([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21)
([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)=>([(0,12),(1,10),(1,16),(2,11),(2,15),(3,11),(3,18),(4,9),(4,17),(5,10),(5,12),(5,19),(6,13),(6,18),(6,19),(7,14),(7,15),(7,16),(8,13),(8,15),(8,16),(9,12),(9,19),(10,20),(11,21),(13,20),(13,21),(14,17),(14,20),(14,21),(15,21),(16,20),(17,18),(17,19),(18,21),(19,20)],22)
([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)=>([(0,13),(1,12),(1,17),(2,11),(2,18),(3,4),(3,8),(3,22),(4,9),(4,21),(5,6),(5,17),(5,21),(6,19),(6,22),(7,11),(7,13),(7,19),(8,9),(8,15),(9,16),(10,14),(10,16),(10,18),(11,20),(12,13),(12,19),(14,17),(14,20),(14,21),(15,16),(15,18),(15,22),(16,21),(17,19),(18,20),(19,20),(20,22),(21,22)],23)
([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23)=>([(0,18),(0,22),(1,17),(1,21),(2,4),(2,17),(3,4),(3,18),(5,6),(5,7),(5,8),(6,10),(6,12),(7,11),(7,13),(8,10),(8,11),(9,14),(9,15),(9,16),(10,21),(11,22),(12,14),(12,21),(13,15),(13,22),(14,19),(15,20),(16,19),(16,20),(17,19),(18,20),(19,21),(20,22)],23)
([(0,10),(0,12),(1,16),(2,17),(3,21),(4,22),(5,14),(6,13),(6,14),(7,13),(7,15),(8,7),(8,21),(9,2),(9,18),(10,11),(11,5),(11,6),(12,3),(12,8),(13,19),(14,9),(14,19),(15,22),(16,20),(17,20),(18,16),(18,17),(19,18),(21,4),(21,15),(22,1)],23)=>([(0,17),(0,22),(1,17),(1,18),(2,16),(2,19),(3,18),(3,19),(4,15),(4,22),(5,14),(5,21),(6,7),(6,14),(7,15),(8,9),(8,10),(8,11),(9,12),(9,13),(10,17),(10,22),(11,15),(11,22),(12,14),(12,21),(13,20),(13,21),(16,20),(16,21),(18,20),(19,20)],23)
([(0,18),(1,19),(2,18),(2,22),(3,19),(3,22),(4,6),(6,5),(7,11),(8,16),(9,17),(10,13),(10,14),(11,4),(12,23),(13,8),(13,23),(14,9),(14,23),(15,11),(16,15),(17,7),(17,15),(18,20),(19,21),(20,12),(20,13),(21,12),(21,14),(22,10),(22,20),(22,21),(23,16),(23,17)],24)=>([(0,15),(1,16),(2,9),(3,15),(3,22),(4,16),(4,22),(5,17),(5,19),(6,12),(6,17),(7,9),(7,12),(8,13),(8,18),(10,18),(10,19),(10,22),(11,20),(11,21),(11,23),(12,14),(13,14),(13,23),(14,17),(15,20),(16,21),(17,23),(18,20),(18,23),(19,21),(19,23),(20,22),(21,22)],24)
([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24)=>([(0,16),(0,17),(1,15),(1,19),(2,14),(2,18),(3,20),(3,21),(4,9),(4,10),(5,9),(5,11),(6,8),(6,12),(7,8),(7,13),(10,14),(10,16),(11,15),(11,17),(12,18),(12,20),(13,19),(13,21),(14,22),(15,23),(16,22),(17,23),(18,22),(19,23),(20,22),(21,23)],24)
([(0,18),(1,17),(2,18),(2,24),(3,23),(3,24),(4,17),(4,23),(6,15),(7,16),(8,9),(9,5),(10,12),(11,13),(12,11),(13,14),(14,9),(15,7),(15,21),(16,8),(16,14),(17,10),(18,6),(18,19),(19,15),(19,22),(20,12),(20,22),(21,13),(21,16),(22,11),(22,21),(23,10),(23,20),(24,19),(24,20)],25)=>([(0,24),(1,15),(2,14),(3,20),(3,22),(4,21),(4,23),(5,20),(5,24),(6,21),(6,24),(7,14),(7,22),(8,15),(8,23),(9,12),(9,14),(9,22),(10,13),(10,15),(10,23),(11,12),(11,13),(11,17),(12,18),(13,19),(16,17),(16,20),(16,21),(16,24),(17,18),(17,19),(18,20),(18,22),(19,21),(19,23)],25)
([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)=>([(0,13),(1,12),(1,19),(2,11),(2,20),(3,4),(3,17),(4,18),(5,6),(5,19),(5,23),(6,21),(6,24),(7,11),(7,13),(7,21),(8,9),(8,17),(8,24),(9,18),(9,23),(10,14),(10,16),(10,20),(11,22),(12,13),(12,21),(14,19),(14,22),(14,23),(15,16),(15,17),(15,20),(15,24),(16,18),(16,23),(17,18),(19,21),(20,22),(21,22),(22,24),(23,24)],25)
([(0,12),(0,13),(1,16),(2,15),(3,23),(4,19),(5,17),(5,20),(6,4),(7,5),(7,15),(7,16),(8,10),(9,7),(10,2),(11,1),(11,23),(12,8),(12,22),(13,14),(13,22),(14,3),(14,11),(15,17),(15,21),(16,20),(16,21),(17,24),(19,18),(20,19),(20,24),(21,24),(22,9),(23,6),(24,18)],25)=>([(0,1),(0,5),(1,22),(2,4),(2,12),(3,16),(3,20),(4,10),(5,13),(6,17),(6,23),(7,10),(7,21),(8,12),(8,18),(9,13),(9,19),(10,24),(11,20),(11,21),(11,22),(12,16),(13,17),(14,15),(14,21),(14,22),(15,23),(15,24),(16,18),(17,19),(18,19),(20,23),(20,24),(21,24),(22,23)],25)
([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)=>([(0,19),(0,23),(1,17),(1,22),(2,18),(2,19),(3,18),(3,24),(4,16),(4,24),(5,6),(5,11),(6,16),(7,9),(7,10),(7,13),(8,15),(8,22),(8,23),(9,18),(9,24),(10,16),(10,24),(11,12),(11,17),(12,13),(12,25),(13,21),(14,21),(14,22),(14,23),(15,20),(15,25),(17,25),(19,20),(20,21),(20,23),(21,25),(22,25)],26)
([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26)=>([(0,18),(0,23),(1,18),(1,22),(2,16),(2,24),(3,17),(3,25),(4,6),(4,16),(5,6),(5,17),(7,9),(7,10),(7,11),(8,12),(8,13),(8,21),(9,14),(9,19),(10,15),(10,20),(11,19),(11,20),(12,22),(12,24),(13,23),(13,25),(14,22),(14,24),(15,23),(15,25),(16,19),(17,20),(18,21),(19,24),(20,25),(21,22),(21,23)],26)
([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)=>([(0,14),(1,13),(1,22),(2,19),(2,20),(3,12),(3,21),(4,13),(4,14),(4,23),(5,7),(5,19),(5,24),(6,20),(6,23),(6,26),(7,8),(7,18),(8,17),(8,19),(9,15),(9,22),(9,24),(10,11),(10,17),(10,26),(11,16),(11,18),(12,14),(12,23),(13,25),(15,21),(15,25),(15,27),(16,22),(16,24),(16,26),(17,18),(17,27),(18,24),(19,27),(20,21),(20,27),(21,23),(22,25),(23,25),(24,27),(25,26),(26,27)],28)
([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28)=>([(0,25),(0,27),(1,24),(1,26),(2,18),(2,26),(3,19),(3,27),(4,5),(4,18),(5,19),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,24),(9,25),(10,12),(10,24),(11,13),(11,25),(12,14),(12,20),(13,15),(13,21),(14,15),(14,22),(15,23),(16,18),(16,22),(16,26),(17,19),(17,23),(17,27),(20,22),(20,24),(20,26),(21,23),(21,25),(21,27),(22,23)],28)
([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28)=>([(0,25),(0,27),(1,18),(1,23),(2,19),(2,24),(3,4),(3,17),(4,27),(5,7),(5,18),(6,7),(6,19),(8,10),(8,11),(8,16),(9,12),(9,13),(9,26),(10,15),(10,21),(11,14),(11,22),(12,24),(12,25),(13,20),(13,23),(14,24),(14,25),(15,20),(15,23),(16,21),(16,22),(17,20),(17,27),(18,21),(19,22),(20,26),(21,23),(22,24),(25,26),(26,27)],28)
([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29)=>([(0,16),(0,26),(1,21),(1,25),(2,19),(2,20),(3,20),(3,26),(4,18),(4,21),(5,17),(5,24),(6,7),(6,11),(7,16),(8,9),(8,10),(8,13),(9,16),(9,26),(10,20),(10,26),(11,12),(11,17),(12,13),(12,28),(13,22),(14,22),(14,24),(14,27),(15,23),(15,25),(15,28),(17,28),(18,19),(18,27),(19,23),(21,27),(22,23),(22,28),(23,27),(24,25),(24,28),(25,27)],29)
([(0,24),(1,23),(2,20),(3,22),(3,26),(4,20),(4,22),(5,23),(5,24),(5,26),(7,12),(8,19),(9,27),(10,29),(11,29),(12,6),(13,16),(13,27),(14,17),(14,27),(15,21),(16,10),(16,28),(17,11),(17,28),(18,12),(19,7),(19,18),(20,15),(21,10),(21,11),(22,15),(22,25),(23,9),(23,13),(24,9),(24,14),(25,16),(25,17),(25,21),(26,13),(26,14),(26,25),(27,8),(27,28),(28,19),(28,29),(29,18)],30)=>([(0,25),(1,24),(2,15),(3,14),(4,22),(4,28),(5,23),(5,29),(6,14),(6,22),(7,15),(7,23),(8,18),(8,20),(8,21),(9,19),(9,20),(9,21),(10,24),(10,25),(10,28),(11,24),(11,25),(11,29),(12,14),(12,20),(12,22),(13,15),(13,21),(13,23),(16,18),(16,24),(16,28),(16,29),(17,19),(17,25),(17,28),(17,29),(18,26),(18,27),(19,26),(19,27),(20,26),(21,27),(22,26),(23,27),(26,28),(27,29)],30)
([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)=>([(0,14),(1,13),(1,22),(2,23),(2,24),(3,12),(3,21),(4,5),(4,15),(5,19),(6,20),(6,22),(6,28),(7,24),(7,26),(7,27),(8,19),(8,23),(8,28),(9,13),(9,14),(9,27),(10,11),(10,17),(10,18),(11,16),(11,26),(12,14),(12,27),(13,25),(15,16),(15,19),(15,23),(16,18),(16,29),(17,22),(17,26),(17,28),(18,19),(18,28),(20,21),(20,25),(20,29),(21,24),(21,27),(22,25),(23,29),(24,29),(25,26),(25,27),(26,29),(28,29)],30)
([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30)=>([(0,27),(0,29),(1,26),(1,28),(2,18),(2,28),(3,19),(3,29),(4,5),(4,18),(5,19),(6,7),(6,20),(7,21),(8,10),(8,12),(8,22),(9,11),(9,13),(9,23),(10,11),(10,24),(11,25),(12,20),(12,26),(13,21),(13,27),(14,15),(14,20),(14,26),(15,21),(15,27),(16,18),(16,24),(16,28),(17,19),(17,25),(17,29),(20,21),(22,24),(22,26),(22,28),(23,25),(23,27),(23,29),(24,25)],30)
([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)=>([(0,15),(1,13),(1,24),(2,14),(2,19),(3,14),(3,21),(4,12),(4,20),(5,22),(5,23),(6,12),(6,15),(6,25),(7,17),(7,20),(7,26),(8,16),(8,19),(8,27),(9,23),(9,25),(9,27),(10,16),(10,21),(10,22),(11,21),(11,22),(11,26),(12,28),(13,15),(13,25),(14,29),(16,29),(16,30),(17,24),(17,28),(17,30),(18,19),(18,20),(18,26),(18,27),(19,29),(20,28),(21,29),(22,30),(23,24),(23,30),(24,25),(25,28),(26,29),(26,30),(27,28),(27,30)],31)
([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)=>([(0,20),(0,28),(1,19),(1,27),(2,22),(2,29),(3,21),(3,23),(4,8),(4,11),(5,6),(5,12),(6,19),(7,8),(7,24),(9,10),(9,16),(9,17),(10,19),(10,27),(11,21),(11,22),(12,13),(12,20),(13,16),(13,30),(14,15),(14,29),(14,30),(15,24),(15,28),(16,26),(17,25),(17,27),(18,24),(18,26),(18,28),(20,30),(21,25),(22,25),(23,25),(23,27),(24,29),(26,29),(26,30),(28,30)],31)
([(0,14),(0,15),(1,19),(2,18),(3,29),(4,30),(5,22),(6,23),(7,24),(7,25),(8,9),(9,7),(9,18),(9,19),(10,5),(11,6),(12,2),(12,29),(13,1),(13,30),(14,16),(14,28),(15,17),(15,28),(16,3),(16,12),(17,4),(17,13),(18,24),(18,27),(19,25),(19,27),(20,26),(21,26),(22,20),(23,21),(24,22),(24,31),(25,23),(25,31),(27,31),(28,8),(29,10),(30,11),(31,20),(31,21)],32)=>([(0,15),(0,16),(1,18),(1,23),(2,17),(2,22),(3,24),(3,25),(4,20),(4,28),(5,21),(5,29),(6,19),(6,30),(7,9),(7,22),(8,10),(8,23),(9,11),(10,12),(11,24),(11,26),(12,25),(12,27),(13,26),(13,27),(13,30),(14,28),(14,29),(14,31),(15,17),(15,19),(16,18),(16,19),(17,20),(18,21),(20,22),(21,23),(24,31),(25,31),(26,28),(26,31),(27,29),(27,31),(28,30),(29,30)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)=>([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)=>([(0,17),(1,12),(1,16),(2,13),(2,24),(3,15),(3,21),(4,14),(4,22),(5,16),(5,23),(6,25),(6,26),(7,14),(7,17),(7,31),(8,25),(8,29),(8,32),(9,26),(9,30),(9,31),(10,19),(10,22),(10,29),(11,18),(11,21),(11,30),(12,15),(12,32),(13,17),(13,31),(14,28),(15,27),(16,32),(18,23),(18,27),(18,33),(19,24),(19,28),(19,33),(20,21),(20,22),(20,29),(20,30),(21,27),(22,28),(23,25),(23,32),(24,26),(24,31),(25,33),(26,33),(27,29),(27,32),(28,30),(28,31),(29,33),(30,33)],34)
([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)=>([(0,18),(1,17),(2,15),(2,22),(3,16),(3,23),(4,13),(4,24),(5,14),(5,25),(6,26),(6,27),(7,15),(7,17),(7,32),(8,16),(8,18),(8,33),(9,26),(9,30),(9,32),(10,27),(10,31),(10,33),(11,19),(11,22),(11,31),(12,20),(12,23),(12,30),(13,17),(13,32),(14,18),(14,33),(15,28),(16,29),(19,24),(19,28),(19,34),(20,25),(20,29),(20,34),(21,22),(21,23),(21,30),(21,31),(22,28),(23,29),(24,26),(24,32),(25,27),(25,33),(26,34),(27,34),(28,30),(28,32),(29,31),(29,33),(30,34),(31,34)],35)
([(0,23),(1,22),(2,23),(2,34),(3,33),(3,34),(4,33),(4,35),(5,22),(5,35),(7,20),(8,19),(9,21),(10,11),(11,6),(12,16),(13,15),(14,13),(15,17),(16,14),(17,18),(18,11),(19,9),(19,27),(20,8),(20,28),(21,10),(21,18),(22,12),(23,7),(23,24),(24,20),(24,32),(25,16),(25,31),(26,31),(26,32),(27,17),(27,21),(28,19),(28,29),(29,15),(29,27),(30,13),(30,29),(31,14),(31,30),(32,28),(32,30),(33,25),(33,26),(34,24),(34,26),(35,12),(35,25)],36)=>([(0,35),(1,19),(2,18),(3,29),(3,31),(4,30),(4,32),(5,29),(5,33),(6,30),(6,34),(7,31),(7,35),(8,32),(8,35),(9,18),(9,33),(10,19),(10,34),(11,16),(11,18),(11,33),(12,17),(12,19),(12,34),(13,14),(13,15),(13,24),(14,16),(14,25),(15,17),(15,26),(16,27),(17,28),(20,21),(20,22),(20,23),(20,24),(21,25),(21,29),(21,31),(22,26),(22,30),(22,32),(23,31),(23,32),(23,35),(24,25),(24,26),(25,27),(26,28),(27,29),(27,33),(28,30),(28,34)],36)
([(0,28),(1,24),(2,23),(3,23),(3,29),(4,24),(4,30),(5,28),(5,29),(5,30),(6,7),(8,19),(9,20),(10,14),(10,15),(11,34),(12,32),(13,33),(14,8),(14,35),(15,9),(15,35),(16,6),(17,12),(17,31),(18,13),(18,31),(19,16),(20,16),(21,11),(21,32),(22,11),(22,33),(23,26),(24,27),(25,21),(25,22),(25,31),(26,12),(26,21),(27,13),(27,22),(28,17),(28,18),(29,17),(29,25),(29,26),(30,18),(30,25),(30,27),(31,10),(31,32),(31,33),(32,14),(32,34),(33,15),(33,34),(34,35),(35,19),(35,20)],36)=>([(0,28),(1,18),(2,17),(3,8),(4,15),(4,26),(5,16),(5,27),(6,17),(6,33),(7,18),(7,34),(8,10),(9,28),(9,33),(9,34),(10,15),(10,16),(11,26),(11,27),(11,35),(12,19),(12,22),(12,30),(13,20),(13,23),(13,31),(14,21),(14,24),(14,25),(15,29),(16,29),(17,22),(18,23),(19,28),(19,33),(19,35),(20,28),(20,34),(20,35),(21,29),(21,30),(21,31),(22,24),(22,33),(23,25),(23,34),(24,30),(24,32),(25,31),(25,32),(26,29),(26,30),(27,29),(27,31),(30,35),(31,35),(32,33),(32,34),(32,35)],36)
([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)=>([(0,27),(0,35),(1,24),(1,32),(2,25),(2,33),(3,26),(3,34),(4,5),(4,8),(5,9),(6,7),(6,10),(7,11),(8,12),(8,24),(9,14),(9,26),(10,13),(10,25),(11,15),(11,27),(12,16),(12,36),(13,18),(13,37),(14,17),(14,38),(15,19),(15,39),(16,17),(16,28),(17,30),(18,19),(18,29),(19,31),(20,28),(20,32),(20,37),(21,29),(21,33),(21,36),(22,30),(22,34),(22,39),(23,31),(23,35),(23,38),(24,36),(25,37),(26,38),(27,39),(28,29),(28,36),(29,37),(30,31),(30,38),(31,39),(32,33),(32,36),(33,37),(34,35),(34,38),(35,39)],40)
([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45)=>([(0,41),(0,42),(1,26),(1,40),(2,25),(2,39),(3,37),(3,44),(4,38),(4,43),(5,23),(5,25),(6,24),(6,26),(7,23),(7,43),(8,24),(8,44),(9,13),(9,37),(9,39),(10,14),(10,38),(10,40),(11,15),(11,37),(11,39),(12,16),(12,38),(12,40),(13,27),(13,41),(14,28),(14,42),(15,19),(15,29),(16,20),(16,30),(17,23),(17,32),(17,43),(18,24),(18,33),(18,44),(19,33),(19,34),(20,32),(20,34),(21,27),(21,35),(21,41),(22,28),(22,36),(22,42),(25,27),(26,28),(27,39),(28,40),(29,33),(29,37),(29,44),(30,32),(30,38),(30,43),(31,35),(31,36),(31,41),(31,42),(32,35),(33,36),(34,35),(34,36)],45)
([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)=>([(0,43),(0,57),(1,42),(1,56),(2,45),(2,59),(3,44),(3,58),(4,46),(4,60),(5,47),(5,61),(6,8),(6,10),(6,11),(7,9),(7,12),(7,13),(8,22),(8,23),(9,24),(9,25),(10,18),(10,42),(11,19),(11,42),(12,20),(12,43),(13,21),(13,43),(14,28),(14,34),(14,36),(15,29),(15,35),(15,37),(16,30),(16,32),(16,38),(17,31),(17,33),(17,39),(18,28),(18,44),(19,29),(19,45),(20,30),(20,46),(21,31),(21,47),(22,34),(22,63),(23,35),(23,63),(24,32),(24,62),(25,33),(25,62),(26,58),(26,59),(26,62),(27,60),(27,61),(27,63),(28,48),(29,49),(30,50),(31,51),(32,52),(33,53),(34,54),(35,55),(36,48),(36,50),(37,49),(37,51),(38,48),(38,50),(39,49),(39,51),(40,52),(40,53),(40,56),(41,54),(41,55),(41,57),(44,48),(45,49),(46,50),(47,51),(52,58),(52,62),(53,59),(53,62),(54,60),(54,63),(55,61),(55,63),(56,58),(56,59),(57,60),(57,61)],64)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)=>([(0,58),(0,59),(0,60),(0,61),(0,62),(0,63),(1,7),(1,18),(1,19),(1,20),(1,21),(1,22),(2,7),(2,14),(2,15),(2,16),(2,17),(2,22),(3,7),(3,11),(3,12),(3,13),(3,17),(3,21),(4,7),(4,9),(4,10),(4,13),(4,16),(4,20),(5,7),(5,8),(5,10),(5,12),(5,15),(5,19),(6,7),(6,8),(6,9),(6,11),(6,14),(6,18),(8,23),(8,26),(8,29),(8,35),(9,23),(9,24),(9,27),(9,33),(10,23),(10,25),(10,28),(10,34),(11,24),(11,26),(11,30),(11,36),(12,25),(12,26),(12,31),(12,37),(13,24),(13,25),(13,32),(13,38),(14,27),(14,29),(14,30),(14,39),(15,28),(15,29),(15,31),(15,40),(16,27),(16,28),(16,32),(16,41),(17,30),(17,31),(17,32),(17,42),(18,33),(18,35),(18,36),(18,39),(19,34),(19,35),(19,37),(19,40),(20,33),(20,34),(20,38),(20,41),(21,36),(21,37),(21,38),(21,42),(22,39),(22,40),(22,41),(22,42),(23,46),(23,47),(23,57),(24,43),(24,47),(24,54),(25,44),(25,47),(25,55),(26,45),(26,47),(26,56),(27,43),(27,46),(27,48),(28,44),(28,46),(28,49),(29,45),(29,46),(29,50),(30,43),(30,45),(30,51),(31,44),(31,45),(31,52),(32,43),(32,44),(32,53),(33,48),(33,54),(33,57),(34,49),(34,55),(34,57),(35,50),(35,56),(35,57),(36,51),(36,54),(36,56),(37,52),(37,55),(37,56),(38,53),(38,54),(38,55),(39,48),(39,50),(39,51),(40,49),(40,50),(40,52),(41,48),(41,49),(41,53),(42,51),(42,52),(42,53),(43,58),(43,63),(44,59),(44,63),(45,60),(45,63),(46,61),(46,63),(47,62),(47,63),(48,58),(48,61),(49,59),(49,61),(50,60),(50,61),(51,58),(51,60),(52,59),(52,60),(53,58),(53,59),(54,58),(54,62),(55,59),(55,62),(56,60),(56,62),(57,61),(57,62)],64)
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
Returns the Hasse diagram of the poset as an undirected graph.
Properties
graded
Sage code
def mapping(elt): return Graph(elt.hasse_diagram(), immutable=True)
Weight
26
Created
Jan 26, 2020 at 12:32 by FindStatCrew
Updated
Jan 26, 2020 at 12:32 by Martin Rubey
searching the database
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