Identifier
Images
([],1) => ([],1) => ([],1)
([],2) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1)],2) => ([(0,1)],2) => ([(0,1)],2)
([],3) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1)],2)
([(1,2)],3) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2)],3) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(1,2)],3) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([],4) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2)
([(2,3)],4) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,2),(2,1)],3)
([(1,2),(1,3)],4) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3)],4) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1)],2)
([(0,2),(0,3),(3,1)],4) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,2),(2,3)],4) => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(3,1),(3,2)],4) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(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)
([(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3)
([(0,3),(1,3),(3,2)],4) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(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)
([(0,3),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,1)],2)
([(0,3),(1,2)],4) => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(1,2),(1,3)],4) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],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)
([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(0,3),(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),(4,7),(5,7),(6,7)],8)
([(0,3),(1,2),(2,3)],4) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([],5) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2)
([(3,4)],5) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(2,1)],3)
([(2,3),(2,4)],5) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,1)],2)
([(1,2),(1,3),(1,4)],5) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4)],5) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3)
([(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) => ([(0,1)],2)
([(1,3),(1,4),(4,2)],5) => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(4,1),(4,2)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],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),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(2,3),(3,4)],5) => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(4,2),(4,3)],5) => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(4,1),(4,2),(4,3)],5) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1)],2)
([(1,4),(2,4),(4,3)],5) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(4,2),(4,3)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(2,4),(4,3)],5) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2)
([(0,4),(1,4),(2,3)],5) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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)
([(0,4),(1,4),(2,3),(4,2)],5) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(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)
([(0,4),(1,3),(2,3),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(2,3),(2,4)],5) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,2),(2,1)],3)
([(1,4),(2,3)],5) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(2,3),(2,4)],5) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],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)
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],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)
([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],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)
([(0,4),(1,2),(1,3)],5) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,3),(1,4)],5) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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),(2,4),(3,1),(3,2)],5)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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)
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(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),(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)
([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],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)
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,4),(3,2),(4,3)],5) => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(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)
([(0,3),(3,4),(4,1),(4,2)],5) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(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)
([(1,4),(2,3),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(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)
([(0,3),(1,4),(4,2)],5) => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(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)
([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(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),(1,2),(2,3),(2,4)],5) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],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)
([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(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)
([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(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)
([],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1)],2)
([(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) => ([(0,2),(2,1)],3)
([(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8) => ([(0,1)],2)
([(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8) => ([(0,1)],2)
([(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2)
([(1,3),(1,4),(1,5),(5,2)],6) => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,1)],2)
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
>>> Load all 1668 entries. <<<
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(2,3),(2,4),(4,5)],6) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(5,2),(5,3)],6) => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,2),(2,1)],3)
([(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8) => ([(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)
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(1,4),(1,5),(4,3),(5,2)],6) => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],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)
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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)
([(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8) => ([(0,2),(2,1)],3)
([(1,5),(5,2),(5,3),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,3),(3,5),(5,4)],6) => ([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],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)
([(1,4),(4,5),(5,2),(5,3)],6) => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],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)
([(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(2,5),(3,5),(5,4)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(5,3),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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)
([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(1,5),(2,5),(3,5),(5,4)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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)
([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2)
([(0,5),(1,5),(2,5),(3,4)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],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)
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(3,4)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8) => ([(0,2),(2,1)],3)
([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => ([(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),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,1)],2)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9) => ([(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),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9) => ([(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),(3,4),(5,3)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,5),(2,4),(3,4),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(5,4),(5,7),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9) => ([(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)
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(5,1),(5,4),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],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),(3,2),(4,1)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,1)],2)
([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => ([(0,3),(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9) => ([(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),(1,4),(2,4),(3,5),(4,3)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(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)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1)],2)
([(2,5),(3,4)],6) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(1,5),(2,3),(2,5),(3,4)],6) => ([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => ([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => ([(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),(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)
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(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)
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => ([(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),(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)
([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2)],9) => ([(0,1)],2)
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9) => ([(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)
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9) => ([(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)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9) => ([(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),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9) => ([(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)
([(1,5),(2,3),(2,5),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(2,3),(2,4)],6) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8) => ([(0,2),(2,1)],3)
([(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(1,3),(1,5),(4,2),(5,4)],6) => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],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),(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) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],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),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => ([(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),(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)
([(1,5),(2,3),(2,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,3),(7,2)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],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),(3,5),(4,1),(5,2)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(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)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(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),(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),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8) => ([(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)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(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)
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9) => ([(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),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9) => ([(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),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9) => ([(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),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9) => ([(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)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => ([(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),(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)
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => ([(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),(1,6),(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),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9) => ([(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),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => ([(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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,7),(7,3),(7,8),(8,6)],9) => ([(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)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9) => ([(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)
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],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)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(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),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(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),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9) => ([(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)
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],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) => ([(0,1),(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)
([(1,4),(2,3),(2,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2),(8,5)],9) => ([(0,1),(0,2),(1,5),(1,6),(1,17),(2,3),(2,4),(2,17),(3,11),(3,14),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,20),(7,22),(8,21),(8,22),(9,20),(9,23),(10,21),(10,23),(11,18),(12,19),(13,7),(13,8),(13,18),(14,9),(14,10),(14,18),(15,7),(15,9),(15,19),(16,8),(16,10),(16,19),(17,13),(17,14),(17,15),(17,16),(18,20),(18,21),(19,22),(19,23),(20,24),(21,24),(22,24),(23,24)],25)
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],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)
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(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)
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8) => ([(0,2),(2,1)],3)
([(1,5),(2,3),(3,5),(5,4)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,3),(2,4),(4,5)],6) => ([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],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)
([(1,5),(4,3),(5,2),(5,4)],6) => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(1,5),(5,2),(5,3)],6) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => ([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(3,4),(4,2),(5,3)],6) => ([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,4),(2,3),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3),(8,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,4),(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),(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)
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,4),(2,3)],6) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],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)
([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],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)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],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)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,1),(7,2)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => ([(0,1),(0,2),(0,3),(1,5),(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)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,8),(4,5),(4,8),(5,7),(7,6),(8,1),(8,7)],9) => ([(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),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,4),(0,5),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(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)
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],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)
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(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),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1),(5,7),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(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)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(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)
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(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)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(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),(2,3),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => ([(0,1)],2)
([(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1)],9) => ([(0,2),(2,1)],3)
([(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2)],9) => ([(0,1)],2)
([(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3)],9) => ([(0,1)],2)
([(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,1)],2)
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5)],9) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2)
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8) => ([(0,1)],2)
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9) => ([(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),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8) => ([(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) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2)],9) => ([(0,1)],2)
([(2,4),(2,5),(2,6),(6,3)],7) => ([(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(7,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8) => ([(0,1)],2)
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,1)],2)
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9) => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => ([(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),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9) => ([(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)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1),(7,5),(7,6)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],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)
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,1),(7,2)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],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)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,8),(4,5),(4,8),(5,7),(7,6),(8,1),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8) => ([(0,2),(2,1)],3)
([(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(7,1),(7,6)],9) => ([(0,2),(2,1)],3)
([(2,5),(2,6),(6,3),(6,4)],7) => ([(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(6,3),(7,1),(7,6)],9) => ([(0,1)],2)
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8) => ([(0,2),(2,1)],3)
([(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3)],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)
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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)
([(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(7,6)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9) => ([(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),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(6,2),(7,5),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9) => ([(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)
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9) => ([(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)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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)
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(7,8)],9) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3)],9) => ([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(3,4),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2)],9) => ([(0,2),(2,1)],3)
([(2,6),(6,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(3,4),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5)],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)
([(2,5),(5,6),(6,3),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],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)
([(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) => ([(0,1)],2)
([(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1)],9) => ([(0,2),(2,1)],3)
([(2,6),(3,6),(6,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2)],9) => ([(0,1)],2)
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) => ([(0,1)],2)
([(2,6),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,7),(8,1)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9) => ([(0,1)],2)
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,7),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9) => ([(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),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(6,8),(8,7)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(8,6)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9) => ([(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),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(6,8),(8,7)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,8),(8,2)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,6)],9) => ([(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)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,1),(5,6),(6,7),(8,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(6,8),(8,7)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8) => ([(0,1)],2)
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],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)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(5,8),(6,5),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],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),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],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)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(8,7)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,7),(5,8),(7,6),(8,6)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],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),(2,5),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],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),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(2,6),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9) => ([(0,2),(2,1)],3)
([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,6),(5,7),(6,8),(7,1)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,1),(7,2)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(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) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(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),(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),(5,3),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,7),(5,8),(7,2),(8,1)],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)
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,8),(4,5),(4,8),(5,7),(7,6),(8,1),(8,7)],9) => ([(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),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,8),(7,3),(8,1),(8,2)],9) => ([(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)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9) => ([(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),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,1)],2)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => ([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,7),(6,8),(7,2),(7,6),(8,1)],9) => ([(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),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => ([(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),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9) => ([(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),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(6,8),(7,5)],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)
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,5),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(6,7),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,6),(4,5),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,6)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,7),(7,8),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9) => ([(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)
([(1,6),(2,6),(3,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9) => ([(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),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,2),(6,8),(8,1)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,1),(5,8),(6,7),(8,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(6,5),(6,8),(8,2)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9) => ([(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),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,6)],9) => ([(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),(2,6),(3,5),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(6,4),(6,8),(8,7)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(5,4),(5,7),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,6),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,7),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(5,8),(7,8),(8,1)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9) => ([(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),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(6,8),(8,1)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,6)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6)],9) => ([(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)
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(6,5),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8) => ([(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),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,1)],2)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8) => ([(0,1)],2)
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(8,3)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(5,8),(6,8),(8,7)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9) => ([(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)
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(5,1),(5,4),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(5,8),(6,4),(6,5),(8,7)],9) => ([(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),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9) => ([(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)
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,7),(7,3),(7,8),(8,6)],9) => ([(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)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8) => ([(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)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],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),(4,1),(4,2),(4,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],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)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,5),(8,7)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(2,8),(3,8),(4,8),(5,1),(5,2),(6,7),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8) => ([(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)
([(0,3),(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) => ([(0,1),(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)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,5),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(6,3),(6,5),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9) => ([(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)
([(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(7,6)],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)
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],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),(2,3),(3,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,5),(8,1)],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)
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9) => ([(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),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(5,8),(6,5),(8,2)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,1),(5,4),(5,8),(6,5),(8,7)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(4,8),(5,4),(6,8),(8,7)],9) => ([(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),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8) => ([(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) => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,7),(2,8),(3,7),(4,5),(5,1),(6,4),(7,8)],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)
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,8),(4,6),(5,4),(6,1),(6,2),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],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),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],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),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,4),(7,8)],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)
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],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)
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(5,8),(6,4),(8,7)],9) => ([(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)
([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,7),(5,8),(7,1),(8,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9) => ([(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),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,6),(6,7),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => ([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],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),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(8,1)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9) => ([(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),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5)],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)
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => ([(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),(2,5),(3,4),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => ([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],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)
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,8),(8,5)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,8),(6,7),(8,6)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(5,1),(5,8),(6,7),(8,7)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(8,7)],9) => ([(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)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(4,8),(5,1),(6,7),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => ([(0,2),(0,3),(0,4),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => ([(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),(2,5),(3,4),(3,6),(5,6)],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) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2)],9) => ([(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),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,8),(6,8),(8,7)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9) => ([(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),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,1),(5,8),(6,7),(8,2)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],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)
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(2,8),(3,8),(4,6),(5,1),(6,7),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8) => ([(0,2),(2,1)],3)
([(3,6),(4,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(7,1)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,1)],2)
([(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => ([(0,3),(0,4),(1,8),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9) => ([(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)
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,8),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,8),(5,4),(5,7),(7,8),(8,1)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,3)],9) => ([(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),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9) => ([(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)
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9) => ([(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),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9) => ([(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),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(6,4),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => ([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,4),(6,8),(8,1)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(5,4),(5,7),(6,1),(6,2),(7,8)],9) => ([(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),(3,4),(4,2),(4,5),(6,5)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,8),(5,3),(5,6),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,1),(7,2)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9) => ([(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)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,8),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3),(8,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9) => ([(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)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9) => ([(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),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9) => ([(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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => ([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4),(7,5)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,4),(6,7),(8,1),(8,6)],9) => ([(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),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4),(8,5)],9) => ([(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)
([(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(2,6),(3,4),(3,5)],7) => ([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2)],9) => ([(0,2),(2,1)],3)
([(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,4),(5,6),(6,7),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,3),(5,7),(7,8),(8,2)],9) => ([(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),(1,5),(1,6),(5,2),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],9) => ([(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),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],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),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,2),(5,3),(5,8),(6,7),(8,1)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9) => ([(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),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(8,1)],9) => ([(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),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,4),(6,5),(6,7),(7,8)],9) => ([(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),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6),(6,8),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,3),(0,4),(1,5),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(5,8),(6,7),(7,8)],9) => ([(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),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(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)
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,6),(2,3),(2,4),(2,5)],7) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(5,7),(6,8),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,7),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(7,1),(7,2),(7,5)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,4)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(8,4)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(6,5),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,6),(2,7),(3,8),(4,6),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(3,8),(4,6),(5,1),(5,2),(5,3),(6,7),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(3,8),(4,8),(5,1),(5,2),(5,3),(6,7),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],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)
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9) => ([(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)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(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),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(5,4),(5,7),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],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)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,4)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,4),(6,7),(7,8)],9) => ([(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) => ([(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(7,1),(7,2),(7,3)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],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)
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(2,4),(2,6),(5,3),(6,5)],7) => ([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(7,1),(7,5)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(6,3),(7,1),(7,5)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,3),(0,7),(1,8),(2,8),(3,8),(4,1),(5,6),(6,2),(7,4),(7,5)],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)
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(5,7),(6,2),(6,5),(7,8)],9) => ([(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),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(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) => ([(0,1),(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)
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,6),(2,8),(3,7),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],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)
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(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)
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,1),(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)
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,8),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9) => ([(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),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(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) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,1),(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)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(2,1)],3)
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1)],2)
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(8,3)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9) => ([(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)
([(1,5),(2,4),(2,6),(6,3)],7) => ([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(6,5),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,3)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(6,4),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,6),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,8),(3,7),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,4),(0,5),(1,7),(3,6),(4,3),(5,1),(5,6),(6,7),(7,2)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(6,8),(8,3)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,1),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,3),(6,4),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(5,1),(5,4),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,7)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8) => ([(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) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(8,3)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,4),(7,1),(7,5)],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)
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,1),(4,2),(4,7),(5,4),(6,3),(6,7),(7,8)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,3),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,3),(6,2),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,3),(7,2)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(5,7),(6,2),(6,5),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,8),(6,1),(6,5),(8,3)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,3),(0,5),(1,6),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(6,8),(8,7)],9) => ([(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)
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,2),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],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)
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,5),(8,2)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(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)
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,8),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(3,8),(4,8),(5,2),(5,3),(6,7),(8,1)],9) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],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),(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),(1,4),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1)],9) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(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)
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(7,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,4),(6,1),(6,2),(8,7)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8) => ([(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)
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => ([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(6,7),(7,1)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5)],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)
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9) => ([(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),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],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),(1,6),(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),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9) => ([(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)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,3),(0,5),(1,8),(2,6),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(6,8),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4),(6,8),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => ([(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(6,8),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,6),(2,7),(3,8),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8) => ([(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)
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,3),(6,5),(8,2)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,5),(7,8)],9) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(7,4),(8,1)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9) => ([(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),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => ([(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(7,4),(8,2)],9) => ([(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)
([(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,6),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,3),(4,7),(5,1),(5,7),(7,8),(8,2)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,3)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,3),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],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)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,7),(7,3),(7,8),(8,6)],9) => ([(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)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,7),(7,3),(7,8),(8,6)],9) => ([(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),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],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) => ([(0,1),(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)
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(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),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,5),(1,6),(2,3),(2,4)],7) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(7,1),(7,2)],9) => ([(0,1)],2)
([(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9) => ([(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)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,1),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8)],9) => ([(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),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(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) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,3),(5,6),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,4)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(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),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9) => ([(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),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1),(5,7),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => ([(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3),(7,4)],9) => ([(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),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,8)],9) => ([(0,1)],2)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2),(8,5)],9) => ([(0,1),(0,2),(1,5),(1,6),(1,17),(2,3),(2,4),(2,17),(3,11),(3,14),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,20),(7,22),(8,21),(8,22),(9,20),(9,23),(10,21),(10,23),(11,18),(12,19),(13,7),(13,8),(13,18),(14,9),(14,10),(14,18),(15,7),(15,9),(15,19),(16,8),(16,10),(16,19),(17,13),(17,14),(17,15),(17,16),(18,20),(18,21),(19,22),(19,23),(20,24),(21,24),(22,24),(23,24)],25)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,4)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(7,8)],9) => ([(0,1)],2)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(8,4)],9) => ([(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),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(8,7)],9) => ([(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) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(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),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9) => ([(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),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(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),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => ([(0,4),(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(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) => ([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],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) => ([(0,1),(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)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(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) => ([(0,1),(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)
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(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) => ([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,6),(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)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8) => ([(0,2),(2,1)],3)
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4),(7,8)],9) => ([(0,1)],2)
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,2),(6,3),(6,4),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(2,5),(3,4),(3,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,6),(2,4),(2,5),(6,3)],7) => ([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,5),(7,1),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,2),(6,5),(7,1),(7,4)],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)
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(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),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,6),(5,3),(5,4),(6,2),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,2),(6,3),(7,1),(7,6)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,5),(1,7),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,3)],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),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,4),(1,5),(6,2),(6,3)],7) => ([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2)],9) => ([(0,2),(2,1)],3)
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,4),(6,1),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,3),(6,8),(8,2)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,8),(4,1),(4,7),(5,6),(6,2),(6,4),(7,8)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => ([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(5,3),(6,4),(6,7),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4),(6,7)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(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)
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,8)],9) => ([(0,2),(2,1)],3)
([(2,6),(3,4),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3),(7,4)],9) => ([(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)
([(2,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,1),(6,2),(7,5)],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)
([(2,6),(5,4),(6,3),(6,5)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(6,7),(7,1),(7,5)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(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)
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,1),(5,4),(5,7),(6,5),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,4),(6,8),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => ([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(4,8),(5,2),(6,4),(8,1)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,4),(6,1),(6,2),(7,8)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,6),(4,1),(4,8),(5,3),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,5),(2,6),(6,3),(6,4)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(5,4),(6,2),(6,3),(6,5)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2),(7,5)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,3)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(1,3),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,7),(5,6),(6,1),(6,2),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,4),(7,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,3),(8,2)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(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) => ([(0,1),(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),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(4,7),(5,6),(6,1),(6,2),(7,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(2,6),(4,5),(5,3),(6,4)],7) => ([(0,2),(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2)],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)
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],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)
([(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3)],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)
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3),(8,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(1,6),(2,5),(5,3),(6,4)],7) => ([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,1),(6,4),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(1,6),(4,5),(5,3),(6,2),(6,4)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,2),(6,7),(7,1),(7,4)],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)
([(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(4,7),(5,2),(6,4),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3),(8,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(4,8),(5,1),(6,4),(8,3)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3)],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)
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],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)
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,2),(3,7),(4,1),(4,7),(5,3),(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)
([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(1,7),(2,7),(3,8),(4,1),(5,2),(6,4),(7,8)],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)
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,8),(4,2),(5,6),(6,1),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(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) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => ([(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,7),(5,1),(6,5),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,5),(8,2)],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)
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(1,6),(2,5),(3,4)],7) => ([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1)],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)
([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(5,4),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,6),(5,7),(6,8),(7,1)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,8),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,2),(5,8),(6,7),(8,1)],9) => ([(0,4),(2,3),(3,1),(4,2)],5)
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,2),(5,8),(6,7),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9) => ([(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),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,6),(6,7),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => ([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(6,4),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4),(7,8)],9) => ([(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),(1,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(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),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,8),(5,4),(5,6),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,7),(5,4),(5,6),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,2)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,8),(3,6),(4,1),(4,8),(5,4),(5,6),(6,8),(8,7)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(0,4),(1,5),(1,7),(2,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,7)],9) => ([(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) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,1),(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)
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,1),(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)
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,5)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,2),(5,7),(7,8),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9) => ([(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),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,2),(5,7),(6,8),(7,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,1)],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),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],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) => ([(0,1),(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)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],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),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,8),(4,5),(4,8),(5,7),(7,6),(8,1),(8,7)],9) => ([(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),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,2),(5,6),(6,8),(7,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,8),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(5,4),(5,7),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,1),(4,8),(5,2),(5,8),(6,7),(8,6)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,3),(5,8),(6,2),(6,8),(8,1)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,6)],9) => ([(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),(2,4),(2,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(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),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4),(6,8),(7,8)],9) => ([(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)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(6,7),(8,7)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],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),(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),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(7,8)],9) => ([(0,1)],2)
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(8,7)],9) => ([(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),(4,6),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(8,7)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(6,7),(8,1)],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),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(4,8),(5,2),(6,7),(8,1)],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),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(8,3)],9) => ([(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),(2,6),(4,5)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,4),(6,1),(6,8),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,4),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,4),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,3),(0,4),(1,6),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(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)
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(6,2),(6,8),(8,7)],9) => ([(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),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,8),(4,2),(4,8),(5,6),(6,1),(6,4),(8,7)],9) => ([(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),(1,6),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,3),(5,8),(6,1),(6,2),(8,7)],9) => ([(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),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7),(7,8)],9) => ([(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),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,3),(5,8),(6,7),(8,2)],9) => ([(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),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,8),(7,8)],9) => ([(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),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8) => ([(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),(3,6),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8) => ([(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),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],9) => ([(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),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,2),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(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),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4)],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)
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8) => ([(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),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,5),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(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)
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(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) => ([(0,1),(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)
([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,7),(4,6),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(5,4),(6,8),(7,8)],9) => ([(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),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(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),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => ([(0,4),(0,6),(1,7),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(8,5)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => ([(0,5),(1,7),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4),(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)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(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)
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(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) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],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)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,8),(4,5),(5,2),(5,8),(6,1),(6,4),(8,7)],9) => ([(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),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,8),(4,2),(5,4),(5,8),(6,1),(6,5),(8,7)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,8),(3,8),(4,6),(5,1),(5,2),(6,7),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,3),(7,2)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,1)],2)
([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => ([(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4),(7,5)],9) => ([(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)
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3),(7,4)],9) => ([(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)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9) => ([(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),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9) => ([(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),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9) => ([(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),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3)],9) => ([(0,1)],2)
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,4)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,1)],2)
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9) => ([(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),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,1),(4,7),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(4,8),(5,1),(5,8),(6,7),(8,2)],9) => ([(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)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,1),(4,6),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,2),(2,1)],3)
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],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),(1,6),(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)
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8) => ([(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) => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,1)],2)
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,2),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(3,7),(4,2),(4,6),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,1)],2)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6)],7) => ([(0,2),(0,3),(0,4),(1,8),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,7),(4,1),(4,7),(5,8),(6,8),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,4),(4,2),(4,7),(5,3),(6,1),(6,7),(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)
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(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)
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,2),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(5,8),(6,8),(7,8)],9) => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,2),(5,3),(6,1),(6,8),(8,4)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2),(8,5)],9) => ([(0,1),(0,2),(1,5),(1,6),(1,17),(2,3),(2,4),(2,17),(3,11),(3,14),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,20),(7,22),(8,21),(8,22),(9,20),(9,23),(10,21),(10,23),(11,18),(12,19),(13,7),(13,8),(13,18),(14,9),(14,10),(14,18),(15,7),(15,9),(15,19),(16,8),(16,10),(16,19),(17,13),(17,14),(17,15),(17,16),(18,20),(18,21),(19,22),(19,23),(20,24),(21,24),(22,24),(23,24)],25)
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9) => ([(0,2),(2,1)],3)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,4),(4,1),(4,7),(5,3),(6,2),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(6,8),(8,7)],9) => ([(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),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,2),(4,3),(5,4),(6,1),(6,7),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(5,1),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,4),(4,1),(5,2),(6,3),(6,7),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,4),(7,1),(7,2)],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)
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(5,2),(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)
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,1),(4,3),(4,7),(5,4),(6,2),(6,7),(7,8)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,8),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],9) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],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)
([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4),(7,8)],9) => ([(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),(4,5),(5,1),(5,2)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(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)
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,3),(6,1),(6,2),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(4,1),(5,2),(5,8),(6,8),(8,7)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,6),(2,4),(5,3),(6,5)],7) => ([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,2),(6,4),(7,1)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(5,1),(6,7),(7,4),(7,5)],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)
([(1,5),(4,3),(5,6),(6,2),(6,4)],7) => ([(0,3),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,4),(7,1),(7,5)],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)
([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,4),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(5,8),(6,4),(8,1)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2)],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)
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],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)
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(0,2),(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,15),(3,16),(3,17),(3,18),(4,12),(4,13),(4,14),(4,18),(5,10),(5,11),(5,14),(5,17),(6,9),(6,11),(6,13),(6,16),(7,9),(7,10),(7,12),(7,15),(9,19),(9,22),(9,25),(10,19),(10,20),(10,23),(11,19),(11,21),(11,24),(12,20),(12,22),(12,26),(13,21),(13,22),(13,27),(14,20),(14,21),(14,28),(15,23),(15,25),(15,26),(16,24),(16,25),(16,27),(17,23),(17,24),(17,28),(18,26),(18,27),(18,28),(19,32),(19,33),(20,29),(20,33),(21,30),(21,33),(22,31),(22,33),(23,29),(23,32),(24,30),(24,32),(25,31),(25,32),(26,29),(26,31),(27,30),(27,31),(28,29),(28,30),(29,34),(30,34),(31,34),(32,34),(33,34),(34,1),(34,2)],35)
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,4),(4,1),(5,2),(6,5),(7,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,15),(3,16),(3,17),(3,18),(4,12),(4,13),(4,14),(4,18),(5,10),(5,11),(5,14),(5,17),(6,9),(6,11),(6,13),(6,16),(7,9),(7,10),(7,12),(7,15),(9,19),(9,22),(9,25),(10,19),(10,20),(10,23),(11,19),(11,21),(11,24),(12,20),(12,22),(12,26),(13,21),(13,22),(13,27),(14,20),(14,21),(14,28),(15,23),(15,25),(15,26),(16,24),(16,25),(16,27),(17,23),(17,24),(17,28),(18,26),(18,27),(18,28),(19,32),(19,33),(20,29),(20,33),(21,30),(21,33),(22,31),(22,33),(23,29),(23,32),(24,30),(24,32),(25,31),(25,32),(26,29),(26,31),(27,30),(27,31),(28,29),(28,30),(29,34),(30,34),(31,34),(32,34),(33,34),(34,1),(34,2)],35)
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,1),(4,3),(4,7),(5,4),(6,2),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(4,7),(5,3),(6,4),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,6),(2,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(3,7),(4,6),(5,1),(6,8),(7,8)],9) => ([(0,2),(2,1)],3)
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1),(5,7),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(6,1),(8,5)],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)
([(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2)],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)
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => ([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2),(8,5)],9) => ([(0,1),(0,2),(1,5),(1,6),(1,17),(2,3),(2,4),(2,17),(3,11),(3,14),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,20),(7,22),(8,21),(8,22),(9,20),(9,23),(10,21),(10,23),(11,18),(12,19),(13,7),(13,8),(13,18),(14,9),(14,10),(14,18),(15,7),(15,9),(15,19),(16,8),(16,10),(16,19),(17,13),(17,14),(17,15),(17,16),(18,20),(18,21),(19,22),(19,23),(20,24),(21,24),(22,24),(23,24)],25)
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(8,7)],9) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],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)
([(0,5),(1,4),(2,6),(6,3)],7) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,3),(5,4),(6,2),(7,1)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(6,7),(7,2),(7,4)],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)
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],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)
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => ([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(6,1),(6,4),(6,7),(7,8)],9) => ([(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),(3,5),(4,2),(4,3),(4,6),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,8),(3,6),(4,5),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(4,7),(5,2),(6,4),(7,8)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,4),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => ([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(4,8),(5,1),(6,4),(8,5)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(6,8),(8,7)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,7),(4,1),(4,7),(5,4),(6,8),(7,8)],9) => ([(0,3),(2,1),(3,2)],4)
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(0,6),(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,4),(7,1)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,15),(3,16),(3,17),(3,18),(4,12),(4,13),(4,14),(4,18),(5,10),(5,11),(5,14),(5,17),(6,9),(6,11),(6,13),(6,16),(7,9),(7,10),(7,12),(7,15),(9,19),(9,22),(9,25),(10,19),(10,20),(10,23),(11,19),(11,21),(11,24),(12,20),(12,22),(12,26),(13,21),(13,22),(13,27),(14,20),(14,21),(14,28),(15,23),(15,25),(15,26),(16,24),(16,25),(16,27),(17,23),(17,24),(17,28),(18,26),(18,27),(18,28),(19,32),(19,33),(20,29),(20,33),(21,30),(21,33),(22,31),(22,33),(23,29),(23,32),(24,30),(24,32),(25,31),(25,32),(26,29),(26,31),(27,30),(27,31),(28,29),(28,30),(29,34),(30,34),(31,34),(32,34),(33,34),(34,1),(34,2)],35)
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,2),(4,1),(5,6),(6,3),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => ([(0,2),(0,6),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,3),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => ([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,4),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => ([(0,6),(1,7),(2,7),(3,4),(4,1),(5,2),(6,3),(6,5)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => ([(0,2),(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8) => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,6),(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),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(7,8)],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)
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(4,8),(5,1),(6,4),(8,7)],9) => ([(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),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => ([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],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),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],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),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(7,8)],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)
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],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),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,5),(0,6),(2,7),(3,7),(4,1),(5,3),(6,2),(7,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,3),(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(7,8)],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)
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,4),(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => ([(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(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),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(4,1),(5,4),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => ([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(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),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(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)
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(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),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
Map
Dedekind-MacNeille completion
Description
Return the smallest lattice containing the poset.
Map
lattice of congruences
Description
The lattice of congruences of a lattice.
A congruence of a lattice is an equivalence relation such that $a_1 \cong a_2$ and $b_1 \cong b_2$ implies $a_1 \vee b_1 \cong a_2 \vee b_2$ and $a_1 \wedge b_1 \cong a_2 \wedge b_2$.
The set of congruences ordered by refinement forms a lattice.
A congruence of a lattice is an equivalence relation such that $a_1 \cong a_2$ and $b_1 \cong b_2$ implies $a_1 \vee b_1 \cong a_2 \vee b_2$ and $a_1 \wedge b_1 \cong a_2 \wedge b_2$.
The set of congruences ordered by refinement forms a lattice.
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