Images
([],1) => ([],1) => ([],1)
([],2) => ([],1) => ([],1)
([(0,1)],2) => ([(0,1)],2) => ([(0,1)],2)
([],3) => ([],1) => ([],1)
([(1,2)],3) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2)],3) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(1,2)],3) => ([(0,1)],2) => ([(0,1)],2)
([],4) => ([],1) => ([],1)
([(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(1,2),(1,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2),(0,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(3,1)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(2,3)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(3,1),(3,2)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(1,3),(3,2)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(1,3),(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(1,2)],4) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,2),(2,3)],4) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([],5) => ([],1) => ([],1)
([(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(1,2),(1,3),(1,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(4,2)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(4,1),(4,2)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(4,2),(4,3)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(4,1),(4,2),(4,3)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(1,4),(2,4),(4,3)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(4,2),(4,3)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,4),(2,4),(4,3)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,4),(2,3),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(2,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,2),(1,3),(1,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(3,2),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(3,4),(4,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(4,2)],5) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(2,3),(2,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([],6) => ([],1) => ([],1)
([(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(1,2),(1,3),(1,4),(1,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(1,5),(5,2)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
>>> Load all 3799 entries. <<<
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(4,3),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(5,2),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(4,5),(5,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(2,5),(3,5),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(1,5),(2,5),(3,5),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,5),(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,5),(3,4),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(5,4)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,3),(2,5),(3,4)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,3),(2,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,5),(4,2),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,3),(2,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,3),(2,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(1,4),(2,3),(2,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,5),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(2,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(4,3),(5,2),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(5,2),(5,3)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(3,4),(4,2),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(2,3),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(4,2),(5,3)],6) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(2,3),(3,4),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3)],6) => ([(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) => ([(0,1),(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),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([],7) => ([],1) => ([],1)
([(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => ([(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) => ([(0,2),(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)
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,5),(5,6),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(3,6),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(3,6),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(2,6),(3,6),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => ([(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) => ([(0,3),(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),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,5),(2,4),(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),(4,7),(5,7),(6,7)],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)
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,6),(3,6),(4,5),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,5),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => ([(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) => ([(0,3),(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),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,5),(3,4)],7) => ([(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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
([(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),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => ([(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) => ([(0,4),(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)
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => ([(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) => ([(0,2),(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)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(2,4),(2,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,4),(2,6),(5,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(2,6),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,4),(2,6),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7) => ([(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),(0,5),(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),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(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) => ([(0,2),(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)
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(1,5),(1,6),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],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),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,4),(2,5),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(1,6),(5,3),(5,4),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,4),(1,5),(6,2),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(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) => ([(0,3),(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)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(2,6),(5,4),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(5,4),(6,2),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,6),(4,5),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(1,6),(4,5),(5,3),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => ([(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) => ([(0,3),(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),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4)],7) => ([(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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) => ([(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) => ([(0,2),(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)
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(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) => ([(0,2),(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)
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7) => ([(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) => ([(0,4),(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)
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(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) => ([(0,3),(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),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4)],7) => ([(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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(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),(1,6),(3,5),(4,3),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => ([(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) => ([(0,4),(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)
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(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),(2,6),(3,5),(4,3),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => ([(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) => ([(0,1),(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),(1,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6)],7) => ([(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) => ([(0,1),(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),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(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),(1,3),(1,6),(2,4),(2,5),(2,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) => ([(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) => ([(0,4),(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)
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(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) => ([(0,3),(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)
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) => ([(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) => ([(0,4),(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)
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(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) => ([(0,4),(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)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,4),(5,3),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,5),(4,3),(5,6),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(0,4),(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),(1,3),(3,6),(4,2),(5,4),(5,6)],7) => ([(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),(0,5),(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),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => ([(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) => ([(0,5),(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)
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(1,6),(2,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(0,2),(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),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(0,2),(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)
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(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) => ([(0,3),(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),(1,5),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(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) => ([(0,3),(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)
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(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) => ([(0,4),(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)
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(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) => ([(0,5),(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)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8) => ([(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) => ([(0,5),(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)
([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8) => ([(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) => ([(0,5),(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)
([(0,1),(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),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(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) => ([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8) => ([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8)
([(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) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(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) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(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) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],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),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
([(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),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],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),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
([(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) => ([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)
([(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) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(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) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9)
([(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) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],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) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(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),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(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) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(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) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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)],2) => ([(0,1)],2)
([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(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),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,7),(1,7),(2,7),(6,3),(6,4),(6,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,7),(3,7),(7,4),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(6,2),(6,3),(6,4),(6,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],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),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,7),(3,7),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(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) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(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) => ([(0,1)],2) => ([(0,1)],2)
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(4,6),(4,7),(5,6),(5,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(5,7),(6,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([],8) => ([],1) => ([],1)
([(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),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(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),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(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) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => ([(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) => ([(0,5),(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)
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(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) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8) => ([(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) => ([(0,4),(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)
([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(3,7),(5,4),(6,4),(6,7)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],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) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8) => ([(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) => ([(0,4),(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)
([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(2,4),(3,5),(5,6),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,4),(2,7),(6,3),(7,6)],8) => ([(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) => ([(0,3),(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)
([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8) => ([(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) => ([(0,4),(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)
([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8) => ([(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) => ([(0,4),(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),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8) => ([(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) => ([(0,4),(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)
([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8) => ([(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) => ([(0,4),(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)
([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8) => ([(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) => ([(0,4),(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)
([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8) => ([(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) => ([(0,4),(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)
([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,4),(2,7),(3,7),(4,6),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,6),(2,7),(5,4),(6,5),(7,3)],8) => ([(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) => ([(0,4),(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)
([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8) => ([(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) => ([(0,4),(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)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => ([(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) => ([(0,4),(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)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8) => ([(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) => ([(0,4),(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)
([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8) => ([(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) => ([(0,4),(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)
([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8) => ([(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) => ([(0,4),(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)
([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,7),(1,6),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3)],8) => ([(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) => ([(0,4),(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)
([(0,4),(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8) => ([(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) => ([(0,5),(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)
([(0,3),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8) => ([(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) => ([(0,3),(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)
([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8) => ([(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) => ([(0,4),(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)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,7),(2,4),(2,5),(6,3),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8) => ([(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) => ([(0,3),(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)
([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(4,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],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),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],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) => ([(0,5),(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)
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11) => ([(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) => ([(0,5),(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)
([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
([(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) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(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),(6,8),(7,8)],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),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(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) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(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),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,6),(2,5),(3,4)],8) => ([(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) => ([(0,1),(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)
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],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),(4,7),(5,7)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,7),(1,6),(2,4),(3,5),(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),(6,8),(7,8)],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)
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,7),(3,7),(4,6),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,5),(3,4),(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),(6,8),(7,8)],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),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(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),(6,8),(7,8)],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)
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => ([(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) => ([(0,3),(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),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => ([(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) => ([(0,3),(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),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,6),(2,7),(3,4),(3,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(7,4),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(7,4),(8,5)],9)
([(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) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)
([(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) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9)
([(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) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => ([(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) => ([(0,4),(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)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)
([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(0,6),(1,5),(2,7),(7,3),(7,4)],8) => ([(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) => ([(0,2),(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)
([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8) => ([(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) => ([(0,2),(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)
([(0,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8) => ([(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) => ([(0,2),(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)
([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,6),(5,1),(5,7)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,7),(1,7),(2,3),(7,4),(7,5),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,5),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3),(4,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(0,7),(1,3),(3,4),(3,5),(4,2),(4,6),(4,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,5),(1,7),(2,5),(2,6),(7,3),(7,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,5),(1,7),(5,4),(5,6),(7,2),(7,3),(7,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(3,2),(3,6),(3,7),(4,1),(4,6),(4,7),(5,3),(5,4)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(1,4),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8) => ([(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) => ([(0,4),(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)
([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8) => ([(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) => ([(0,5),(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)
([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,3)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(6,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8) => ([(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) => ([(0,5),(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)
([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],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),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8) => ([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => ([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8)
([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9)
([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8) => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)
([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8) => ([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9)
([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9)
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,6),(0,7),(1,4),(2,3),(3,6),(4,7),(6,5),(7,5)],8) => ([(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) => ([(0,5),(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)
([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(0,7),(1,7),(2,5),(3,4),(7,6)],8) => ([(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) => ([(0,2),(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)
([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8) => ([(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) => ([(0,3),(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)
([(0,6),(1,5),(2,5),(2,6),(3,4),(5,7),(6,7)],8) => ([(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) => ([(0,3),(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)
([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,7),(2,7),(3,4),(7,5),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,7),(2,7),(3,4),(5,6),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(7,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(5,6),(7,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(6,5),(7,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5),(7,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(4,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(7,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(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) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(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) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(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) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(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) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)
([(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) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(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) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(2,4),(2,7),(5,6),(6,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,7),(1,5),(1,7),(4,3),(5,2),(5,6),(7,4),(7,6)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(2,4),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(1,7),(2,4),(5,6),(6,3),(7,5)],8) => ([(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) => ([(0,2),(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)
([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)
([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(2,7),(3,6),(4,6),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(2,6),(3,4),(5,7),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(7,5),(7,6)],8) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)
([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,6),(0,7),(1,5),(2,6),(5,2),(5,7),(6,3),(7,4)],8) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8) => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
([(0,6),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8) => ([(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) => ([(0,2),(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)
([(3,4),(4,7),(6,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8) => ([(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) => ([(0,2),(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)
([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8) => ([(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) => ([(0,3),(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)
([(0,5),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8) => ([(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8) => ([(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) => ([(0,5),(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)
([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(7,1)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(0,5),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(5,7)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8) => ([(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) => ([(0,2),(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)
([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8) => ([(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) => ([(0,2),(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)
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,4),(3,7),(4,3),(4,5),(4,6),(7,2)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(5,3)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,5),(1,3),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4),(5,6)],8) => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)
([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8) => ([(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) => ([(0,2),(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),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8) => ([(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) => ([(0,4),(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)
([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8) => ([(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) => ([(0,4),(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)
([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8) => ([(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) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,5),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4),(5,6)],8) => ([(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
([(0,4),(1,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,2),(4,5)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)
([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)
([(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(6,5),(7,2),(7,3)],8) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(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),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(4,2),(4,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,3),(1,6),(1,7),(4,2),(4,7),(5,4),(5,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,2),(5,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8) => ([(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) => ([(0,2),(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)
([(0,5),(1,4),(1,6),(6,7),(7,2),(7,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,5),(2,6),(6,7),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4),(7,5)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,5),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,4)],8) => ([(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) => ([(0,5),(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)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(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) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,7),(1,5),(1,7),(5,2),(5,3),(5,6),(7,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8) => ([(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) => ([(0,2),(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)
([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(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),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8) => ([(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) => ([(0,4),(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)
([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(6,5)],8) => ([(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) => ([(0,4),(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),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8) => ([(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) => ([(0,2),(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)
([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,4),(0,7),(1,5),(1,7),(5,3),(5,6),(7,2),(7,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6)],8) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(3,5),(4,2),(4,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2),(7,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(2,7),(3,7),(4,5),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(3,6),(3,7),(4,5),(4,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(2,6),(2,7),(7,3),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,4),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(3,7),(4,6),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(3,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,5),(2,6),(2,7),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,4),(2,5),(2,6),(2,7),(7,3)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,4),(6,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8) => ([(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(1,5),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,5),(6,7),(7,2)],8) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) => ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9)
([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)
([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(6,5)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,7),(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(6,3),(6,7)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,7),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2),(4,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,6),(1,7),(2,3),(2,4),(2,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(4,7),(7,6)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(6,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8) => ([(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) => ([(0,4),(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)
([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8) => ([(0,4),(0,5),(2,7),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4),(6,8),(7,8)],9)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,7),(1,7),(2,3),(2,4),(2,6),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,3),(2,4),(2,5),(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) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,7),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5)],8) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8) => ([(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) => ([(0,2),(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)
([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(2,7),(3,6),(4,6),(4,7),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,7),(2,5),(3,4),(3,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6)],8) => ([(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) => ([(0,3),(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),(1,6),(1,7),(2,5),(3,5),(3,7),(6,4)],8) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8)
([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8) => ([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8) => ([(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) => ([(0,3),(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)
([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)
([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8) => ([(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) => ([(0,2),(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)
([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8) => ([(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) => ([(0,4),(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),(1,5),(2,4),(2,6),(4,7),(5,6),(6,7)],8) => ([(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) => ([(0,3),(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)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
([(0,7),(1,4),(1,5),(4,7),(5,3),(5,6),(7,2),(7,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(7,4)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,7),(2,4),(5,3),(6,5),(7,6)],8) => ([(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) => ([(0,2),(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)
([(0,5),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,5),(2,4),(2,7),(7,3)],8) => ([(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) => ([(0,2),(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)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(2,7),(3,7),(4,6),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(1,6),(5,7),(7,2),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,7),(2,7),(3,4),(5,6),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,5),(1,8),(2,5),(2,8),(3,2),(3,6),(4,1),(4,6),(5,7),(6,8),(8,7)],9) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,6),(0,7),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],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) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],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),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,5),(6,4),(7,4),(7,5)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,2),(0,3),(0,4),(2,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,5),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(7,3)],8) => ([(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,4),(0,6),(1,5),(1,6),(1,7),(4,7),(5,3),(7,2)],8) => ([(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)
([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,4),(2,6),(5,7),(6,3),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8) => ([(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) => ([(0,2),(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)
([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,6),(4,7),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,4),(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(7,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,6),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],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) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,6),(6,5),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,5),(7,4)],8) => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(6,4),(7,6)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,4),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(0,6),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,3),(1,4),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,3),(6,5),(7,3)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,6),(6,4),(7,6)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,5),(2,4),(2,7),(3,4),(3,6),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],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),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,5)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(5,3),(6,5),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,8),(6,3),(6,4),(7,1),(7,2),(8,6),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(0,8),(6,1),(6,2),(7,3),(7,4),(8,5),(8,6)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,10),(7,8),(7,9),(8,4),(8,5),(9,2),(9,3),(10,1),(10,7)],11) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,6),(0,10),(7,1),(7,2),(8,3),(8,9),(9,4),(9,5),(10,7),(10,8)],11) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,9),(0,10),(7,4),(7,8),(8,5),(8,6),(9,2),(9,3),(10,1),(10,7)],11) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,9),(0,10),(7,5),(7,6),(8,3),(8,4),(9,1),(9,2),(10,7),(10,8)],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) => ([(0,3),(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)
([(0,9),(0,10),(7,3),(7,4),(8,5),(8,6),(9,2),(9,7),(10,1),(10,8)],11) => ([(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) => ([(0,4),(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)
([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,3),(11,9),(11,10),(12,1),(12,8)],13) => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)
([(0,7),(0,12),(8,10),(8,11),(9,2),(9,3),(10,4),(10,5),(11,6),(11,9),(12,1),(12,8)],13) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,2),(0,4),(1,8),(2,5),(2,6),(3,1),(3,7),(3,9),(4,3),(4,5),(4,6),(5,9),(6,7),(6,9),(7,8),(9,8)],10) => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)
([(0,2),(0,3),(1,5),(1,8),(2,6),(2,7),(3,1),(3,6),(3,7),(4,9),(5,9),(6,4),(6,8),(7,4),(7,5),(7,8),(8,9)],10) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(0,2),(0,3),(1,8),(1,9),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,10),(5,8),(5,9),(6,4),(6,9),(7,4),(7,8),(8,10),(9,10)],11) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)
([(0,2),(0,3),(1,4),(1,5),(2,7),(2,8),(3,1),(3,7),(3,8),(4,9),(5,9),(6,9),(7,5),(7,6),(8,4),(8,6)],10) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)
([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => ([(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) => ([(0,4),(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8) => ([(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) => ([(0,2),(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)
([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,2),(1,3),(4,7),(5,7),(6,4),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,3),(1,6),(1,7),(4,2),(5,4),(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) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],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) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3),(5,4)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(1,5),(1,7),(2,3),(2,6),(3,4),(3,7),(5,6)],8) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9)
([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,5),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,2),(6,5),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9)
([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8) => ([(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) => ([(0,2),(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)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(1,3),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(2,6),(3,6),(3,7),(4,5),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(2,5),(3,4),(3,7),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8) => ([(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) => ([(0,5),(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)
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],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),(1,5),(1,7),(4,6),(5,2),(5,6),(7,4)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,6),(2,5),(2,7),(6,3),(7,4)],8) => ([(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) => ([(0,4),(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)
([(0,6),(1,3),(2,4),(2,6),(2,7),(3,7),(4,5)],8) => ([(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) => ([(0,3),(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)
([(0,5),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8) => ([(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) => ([(0,4),(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)
([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
([(0,6),(0,7),(1,6),(1,7),(2,4),(4,7),(6,3),(6,5),(7,5)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],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),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],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),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],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),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8) => ([(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) => ([(0,4),(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)
([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8) => ([(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),(0,5),(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),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5)],8) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8)
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],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),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8) => ([(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) => ([(0,3),(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),(1,4),(2,3),(2,6),(2,7),(4,7),(6,5)],8) => ([(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) => ([(0,4),(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)
([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8) => ([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8)
([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],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),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,2)],8) => ([(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) => ([(0,4),(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)
([(1,7),(2,7),(3,4),(4,6),(7,5)],8) => ([(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) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(1,7),(2,5),(3,4),(3,7),(5,6)],8) => ([(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) => ([(0,3),(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),(1,5),(1,7),(2,4),(2,7),(6,3)],8) => ([(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) => ([(0,2),(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)
([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8) => ([(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)
([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(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) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(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) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,6),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(3,2),(3,4),(4,7),(6,7)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,5),(0,6),(1,4),(1,6),(3,2),(3,7),(4,3),(4,5),(5,7),(6,7)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(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),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(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),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(7,5),(7,6)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,6),(4,1),(4,8),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,8),(5,4),(5,7),(7,8),(8,1)],9)
([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(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) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
Map
maximal antichains
Description
The lattice of maximal antichains in a poset.
An antichain $A$ in a poset is maximal if there is no antichain of larger cardinality which contains all elements of $A$.
The set of maximal antichains can be ordered by setting $A \leq B \Leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow}B$, where $\mathop{\downarrow}A$ is the order ideal generated by $A$.
An antichain $A$ in a poset is maximal if there is no antichain of larger cardinality which contains all elements of $A$.
The set of maximal antichains can be ordered by setting $A \leq B \Leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow}B$, where $\mathop{\downarrow}A$ is the order ideal generated by $A$.
Map
dual
Description
Return the dual lattice.
The dual (or opposite) of a lattice $(\mathcal P,\leq)$ is the lattice $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
The dual (or opposite) of a lattice $(\mathcal P,\leq)$ is the lattice $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
searching the database
Sorry, this map was not found in the database.