Images
([],1) => ([],1) => ([],1)
([(0,1)],2) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) => ([(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) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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)
([(0,1),(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)
([(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)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,1),(0,2),(0,3),(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),(2,4),(3,4),(4,1)],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)
([(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)
([(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)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,2),(2,1)],3)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,3),(0,4),(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),(1,5),(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)
([(0,2),(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)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,2),(2,1)],3)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,1),(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),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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)
([(0,2),(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)
([(0,5),(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)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,3),(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),(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)
([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1)],2)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],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)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],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)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],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)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],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)
([(0,5),(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)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],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)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],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),(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)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(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),(2,6),(3,2),(4,1),(5,3),(5,4)],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)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,1),(0,2),(0,3),(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),(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)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],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)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],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)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],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)
([(0,3),(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)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],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)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],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)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],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)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],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)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],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)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],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)
([(0,3),(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)
([(0,2),(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)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,3),(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),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,1),(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),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(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),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],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)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],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)
([(0,3),(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)
([(0,5),(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),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],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)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(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),(1,6),(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)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],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)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,1),(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),(1,6),(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),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,1),(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),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(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),(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)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],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)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],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)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,1),(0,2),(0,3),(0,4),(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)
([(0,1),(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),(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),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(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),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => ([(0,1)],2)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3)
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8) => ([(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),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,4),(7,6)],8) => ([(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),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8) => ([(0,6),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8) => ([(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),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8) => ([(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),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(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),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4),(6,7)],8) => ([(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)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8) => ([(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)
([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,4),(7,3)],8) => ([(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)
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8) => ([(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),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8) => ([(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)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8) => ([(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)
>>> Load all 1429 entries. <<<
([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8) => ([(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),(1,7),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,1),(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),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8) => ([(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)
([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8) => ([(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),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8) => ([(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),(1,7),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8) => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8) => ([(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),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8) => ([(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)
([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],8) => ([(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)
([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8) => ([(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),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => ([(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),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8) => ([(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),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => ([(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),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8) => ([(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),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8) => ([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(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)
([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8) => ([(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),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => ([(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),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => ([(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),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8) => ([(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),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8) => ([(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)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(5,4),(5,7),(7,6)],8) => ([(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),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8) => ([(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),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(5,1),(5,4),(6,7)],8) => ([(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)
([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4),(6,7)],8) => ([(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)
([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8) => ([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8) => ([(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)
([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8) => ([(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),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8) => ([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],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),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8) => ([(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),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8) => ([(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),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => ([(0,1),(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)
([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],8) => ([(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)
([(0,3),(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8) => ([(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)
([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8) => ([(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),(0,5),(1,7),(2,7),(4,7),(5,6),(6,1),(6,2),(7,3)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8) => ([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8) => ([(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),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],8) => ([(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)
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8) => ([(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),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,1),(0,2),(0,3),(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),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8) => ([(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),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,1),(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),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8) => ([(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),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(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),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => ([(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8) => ([(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)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8) => ([(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),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8) => ([(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),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8) => ([(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),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8) => ([(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),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8) => ([(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),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8) => ([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8) => ([(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),(1,7),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4)],8) => ([(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),(1,7),(2,7),(3,4),(4,1),(5,2),(6,3),(6,5)],8) => ([(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)
([(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4),(6,7)],8) => ([(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)
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,1),(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),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => ([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8) => ([(0,1),(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),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8) => ([(0,1)],2)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,3),(7,2)],8) => ([(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)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8) => ([(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),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8) => ([(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)
([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8) => ([(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),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8) => ([(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),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,3),(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),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8) => ([(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)
([(0,5),(1,7),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4),(6,7)],8) => ([(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)
([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8) => ([(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),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8) => ([(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),(1,7),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8) => ([(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)
([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8) => ([(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),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4),(7,3)],8) => ([(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4),(7,3)],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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8) => ([(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)
([(0,5),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(7,4)],8) => ([(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)
([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(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)
([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(6,7),(7,1)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8) => ([(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),(1,7),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,3),(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),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],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),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,1)],2)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8) => ([(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)
([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => ([(0,1),(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),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8) => ([(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),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8) => ([(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)
([(0,4),(0,5),(1,7),(3,6),(4,3),(5,1),(5,6),(6,7),(7,2)],8) => ([(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)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8) => ([(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),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8) => ([(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)
([(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),(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),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8) => ([(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),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(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),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8) => ([(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),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8) => ([(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)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8) => ([(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),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8) => ([(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),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8) => ([(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)
([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8) => ([(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)
([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => ([(0,1),(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8) => ([(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)
([(0,5),(0,6),(2,7),(3,7),(4,1),(5,3),(6,2),(7,4)],8) => ([(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)
([(0,5),(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)
([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8) => ([(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),(3,7),(4,5),(5,1),(5,2),(6,7)],8) => ([(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)
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(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)
([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8) => ([(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8) => ([(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),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8) => ([(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),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8) => ([(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),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8) => ([(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)
([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8) => ([(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)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(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),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => ([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8) => ([(0,1),(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),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8) => ([(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)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8) => ([(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)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8) => ([(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)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => ([(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),(1,5),(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),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => ([(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),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => ([(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),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8) => ([(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),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,1),(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),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8) => ([(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)
([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8) => ([(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),(1,7),(2,7),(3,2),(4,1),(5,6),(6,3),(6,4)],8) => ([(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)
([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8) => ([(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)
([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8) => ([(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)
([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8) => ([(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)
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8) => ([(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)
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8) => ([(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)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1),(5,7),(6,7)],8) => ([(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)
([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8) => ([(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)
([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8) => ([(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)
([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8) => ([(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),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(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),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8) => ([(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)
([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8) => ([(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)
([(0,1),(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),(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)
([(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),(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)
([(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),(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)
([(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),(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)
([(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),(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)
([(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) => ([(0,1),(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,8),(7,1),(7,2),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,8),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(8,7)],9) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,8),(7,1),(7,2),(7,3),(7,4),(8,5)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(7,1),(7,2),(7,3),(7,4),(7,5),(8,6)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(7,1),(7,2),(7,3),(7,4),(7,5),(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),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3),(7,6)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,3),(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)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,4),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => ([(0,5),(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)
([(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(7,5),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(6,7),(7,1),(7,2),(7,3),(7,4),(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)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(8,7)],9) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(8,5)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(6,5),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8),(8,4)],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)
([(0,6),(1,8),(2,8),(3,8),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(6,4),(6,7),(7,1),(7,2),(7,3),(8,5)],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),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(8,5)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(5,8),(6,7),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(8,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,8),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8),(8,3)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(8,5)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(5,3),(5,4),(6,7),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8),(8,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(7,6),(8,5)],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),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(5,4),(6,8),(8,7)],9) => ([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,2),(6,3),(7,1),(7,6),(8,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,5)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,8),(6,7),(7,1),(7,2),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],9) => ([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(8,3)],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),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8),(8,2)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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),(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)
([(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) => ([(0,1),(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,3),(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)
([(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) => ([(0,4),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4),(8,5)],9) => ([(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),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(6,5),(7,8)],9) => ([(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)
([(0,4),(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),(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)
([(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(5,3),(5,4),(6,7),(8,1)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8),(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)
([(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(6,5),(7,8)],9) => ([(0,3),(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)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(6,5),(8,4)],9) => ([(0,4),(0,5),(1,8),(2,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8),(8,3)],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),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(7,8),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(6,7),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => ([(0,4),(0,5),(1,8),(2,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8),(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)
([(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => ([(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)
([(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,8),(5,7),(6,2),(6,3),(7,1),(7,6),(8,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,5),(8,3)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(5,3),(6,7),(7,1),(7,2),(8,4)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,4),(6,7),(8,1),(8,6)],9) => ([(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)
([(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),(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)
([(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4),(7,5)],9) => ([(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),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1),(7,5),(7,6)],9) => ([(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)
([(0,4),(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),(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),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,4)],9) => ([(0,3),(0,4),(0,6),(1,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,7),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(7,6)],9) => ([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(8,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,7),(7,8),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,3),(5,7),(6,2),(6,7),(7,8),(8,1)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9) => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9) => ([(0,1),(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),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => ([(0,4),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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),(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)
([(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),(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)
([(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) => ([(0,1),(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),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3)],9) => ([(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)
([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9) => ([(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),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4),(7,5)],9) => ([(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)
([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(7,6)],9) => ([(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)
([(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),(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)
([(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),(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)
([(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3),(7,4)],9) => ([(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)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(6,2),(7,5),(7,6)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,2),(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),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,4)],9) => ([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(5,8),(6,5),(7,2),(8,7)],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),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(7,2),(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),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(6,8),(7,2),(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)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,1),(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)
([(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,3)],9) => ([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(5,2),(6,8),(7,8),(8,1)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(6,1),(6,2),(7,5),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(7,1),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(7,8)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9) => ([(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)
([(0,2),(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),(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)
([(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),(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)
([(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),(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)
([(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) => ([(0,2),(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),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(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)
([(0,2),(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),(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)
([(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),(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)
([(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),(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)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,7)],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)
([(0,1),(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) => ([(0,3),(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)
([(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) => ([(0,3),(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)
([(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) => ([(0,3),(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,3),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,3),(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),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) => ([(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)
([(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) => ([(0,4),(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)
([(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) => ([(0,4),(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),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9) => ([(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)
([(0,1),(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) => ([(0,5),(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)
([(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) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9) => ([(0,5),(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)
([(0,1),(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) => ([(0,6),(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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],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),(0,5),(0,6),(0,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,6),(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)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(6,7),(7,1),(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),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,2)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,5),(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(8,6)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9) => ([(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),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9) => ([(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),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,8),(8,2)],9) => ([(0,4),(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)
([(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) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(6,8),(7,2),(8,7)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(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)
([(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) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,6)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,1),(5,6),(6,7),(8,6)],9) => ([(0,4),(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)
([(0,3),(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) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,7)],9) => ([(0,5),(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)
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,8),(7,1),(7,2),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,5),(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),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],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),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(8,7)],9) => ([(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),(0,4),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],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)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,7),(6,1),(7,6),(8,7)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],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),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(7,2),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(6,7),(7,1),(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),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(5,8),(6,5),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,7),(1,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,2)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,4),(0,6),(1,8),(2,8),(4,8),(5,7),(6,5),(7,1),(7,2),(8,3)],9) => ([(0,6),(1,7),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,5)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,1),(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),(0,5),(0,7),(1,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,2)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(7,1),(7,2),(7,3),(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(8,7)],9) => ([(0,6),(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)
([(0,1),(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) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,7),(7,2),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,4),(6,5),(7,1),(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),(0,6),(1,7),(2,7),(4,8),(5,8),(6,8),(7,3),(8,1),(8,2)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(7,5)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(8,1)],9) => ([(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)
([(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(7,4),(8,1)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,4),(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)
([(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) => ([(0,3),(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,6),(5,7),(6,8),(7,1)],9) => ([(0,3),(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)
([(0,3),(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),(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)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9) => ([(0,3),(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),(0,4),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,7),(5,8),(7,2),(8,1)],9) => ([(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)
([(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),(0,5),(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),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9) => ([(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)
([(0,1),(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) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(6,8),(7,5)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,5),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,6),(5,7),(6,8),(7,2),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,4),(4,1),(4,7),(5,2),(5,7),(6,3),(6,5),(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),(0,4),(0,5),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,3),(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)
([(0,1),(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),(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(6,7),(8,7)],9) => ([(0,5),(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,6)],9) => ([(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)
([(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) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,7),(7,8),(8,1)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9) => ([(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),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9) => ([(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),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9) => ([(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),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9) => ([(0,4),(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)
([(0,2),(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) => ([(0,3),(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)
([(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) => ([(0,3),(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9) => ([(0,3),(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)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(6,7),(7,8)],9) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,1),(5,8),(6,7),(8,6)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(6,5),(6,8),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,4),(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),(1,8),(2,8),(3,7),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,6)],9) => ([(0,3),(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)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(6,4),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(7,5),(8,7)],9) => ([(0,4),(1,8),(2,8),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7),(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),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(6,5),(6,8),(7,2),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,2),(5,7),(6,4),(6,5),(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,6)],9) => ([(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)
([(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) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(5,8),(7,8),(8,1)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9) => ([(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)
([(0,3),(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),(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)
([(0,3),(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) => ([(0,3),(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(6,8),(8,1)],9) => ([(0,3),(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),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,6)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,7)],9) => ([(0,5),(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)
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,3),(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)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(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) => ([(0,3),(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5),(7,8)],9) => ([(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),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(7,8),(8,1)],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),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,7),(1,8),(2,8),(4,8),(5,2),(6,1),(7,5),(7,6),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,4),(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(6,5),(8,7)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,4),(6,5),(8,7)],9) => ([(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(6,3),(6,4),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(7,5),(7,6),(8,4)],9) => ([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(7,5),(7,6),(8,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,5),(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)
([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(7,6),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(7,6),(8,5)],9) => ([(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8),(8,3)],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),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,8),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,4),(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(8,3)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(8,7)],9) => ([(0,5),(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)
([(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(8,6)],9) => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(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)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(7,8)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,6)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(5,8),(6,8),(8,7)],9) => ([(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),(0,4),(0,5),(2,8),(3,6),(4,6),(5,2),(5,7),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],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),(1,7),(2,8),(3,6),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(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),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => ([(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),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(7,3),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(6,5),(7,8)],9) => ([(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)
([(0,4),(0,6),(2,8),(3,7),(4,7),(5,3),(6,2),(6,5),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,4),(6,2),(6,5),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(5,8),(6,4),(6,5),(8,7)],9) => ([(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),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(5,2),(6,4),(6,5),(8,7)],9) => ([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8),(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),(1,8),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5),(7,8)],9) => ([(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,5),(7,8),(8,1)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,6),(1,8),(2,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8),(8,3)],9) => ([(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(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),(1,8),(2,7),(3,7),(4,1),(5,2),(5,3),(6,4),(6,5),(7,8)],9) => ([(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(7,8),(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),(1,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8),(8,2)],9) => ([(0,6),(1,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8),(8,2)],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),(1,7),(2,6),(3,6),(4,2),(4,3),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(7,4),(8,7)],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),(1,8),(2,8),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(6,5),(7,4),(8,7)],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),(1,7),(2,6),(3,6),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,6),(1,8),(3,7),(4,8),(5,1),(5,7),(6,3),(6,5),(7,8),(8,2)],9) => ([(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(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),(1,8),(2,7),(4,7),(5,2),(5,8),(6,1),(6,5),(7,3),(8,4)],9) => ([(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,3),(6,4),(7,8),(8,2)],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),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,7)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,8),(6,1),(6,2),(7,3),(8,7)],9) => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(8,7)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,6),(6,1),(6,2),(6,4),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,7),(5,8),(6,1),(6,2),(6,3),(7,4),(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),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,5),(8,7)],9) => ([(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)
([(0,4),(0,5),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(7,6),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,2),(6,3),(7,1),(7,6),(8,4)],9) => ([(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(5,4),(6,8),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,8),(4,8),(6,4),(6,7),(7,1),(7,2),(7,3),(8,5)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5),(8,7)],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),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(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),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,4),(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),(1,7),(2,7),(4,8),(5,8),(6,1),(6,2),(7,4),(8,3)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(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),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,1),(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)
([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(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)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,5),(8,7)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(6,3),(6,5),(8,7)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(7,4),(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)
([(0,4),(0,7),(1,8),(2,8),(4,8),(5,2),(6,1),(7,5),(7,6),(8,3)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(6,2),(7,5),(7,6),(8,4)],9) => ([(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5),(7,8),(8,1)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(8,2)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8)],9) => ([(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)
([(0,2),(0,3),(0,4),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(7,6)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,3),(5,7),(6,1),(6,2),(7,4),(7,6)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,5),(8,1)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9) => ([(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),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9) => ([(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),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(5,8),(6,5),(8,2)],9) => ([(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)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,1),(5,4),(5,8),(6,5),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(5,8),(6,5),(7,2),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(4,8),(5,4),(6,8),(8,7)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(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),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => ([(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(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),(0,5),(0,6),(1,8),(2,8),(4,8),(5,8),(6,7),(7,1),(7,2),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,5)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,8),(6,7),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(8,5)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,8),(4,8),(6,7),(7,1),(7,2),(7,3),(7,4),(8,5)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(7,5),(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)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,7),(4,5),(5,1),(6,4),(7,8)],9) => ([(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),(0,7),(2,8),(3,8),(4,2),(5,4),(6,1),(7,5),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,3),(0,5),(1,7),(2,7),(3,8),(4,6),(5,4),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(8,7)],9) => ([(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),(0,7),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,2),(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,4),(7,8)],9) => ([(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),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,3),(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,5),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(6,2),(7,4),(7,6)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,4),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(8,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(5,8),(6,4),(8,7)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) => ([(0,5),(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)
([(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) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,7),(5,8),(7,1),(8,6)],9) => ([(0,5),(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)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(7,1),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,1)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,6),(6,7),(8,1)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => ([(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),(0,5),(2,7),(3,8),(4,8),(5,7),(6,1),(7,6),(8,2)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9) => ([(0,5),(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)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,6)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,3),(6,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(8,1)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9) => ([(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),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(6,1),(6,2),(7,5),(7,6)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9) => ([(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)
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => ([(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),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(6,8),(8,7)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,5),(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),(0,4),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8),(8,6)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,4),(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)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,8),(8,5)],9) => ([(0,3),(0,5),(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)
([(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) => ([(0,4),(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)
([(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) => ([(0,5),(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)
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,8),(7,3),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,2),(5,7),(6,3),(6,4),(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)
([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,3),(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)
([(0,2),(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) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(4,8),(5,1),(6,7),(8,7)],9) => ([(0,5),(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,4),(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)
([(0,1),(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) => ([(0,3),(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)
([(0,2),(0,3),(0,4),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9) => ([(0,4),(0,5),(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),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,8),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,2),(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) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(8,7)],9) => ([(0,5),(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)
([(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(7,4),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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),(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(8,7)],9) => ([(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),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(7,2),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,7),(7,1),(7,2),(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),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(6,8),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(7,6),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(0,6),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,3),(5,6),(6,1),(6,2),(7,4),(7,5)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9) => ([(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),(0,4),(0,5),(2,8),(3,6),(4,7),(5,7),(6,8),(7,2),(7,6),(8,1)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,2)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(2,8),(3,8),(4,6),(5,1),(6,7),(8,7)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(7,2),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9) => ([(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),(0,4),(0,5),(0,6),(2,7),(3,8),(4,8),(5,7),(6,2),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,5),(7,1),(7,2),(7,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(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) => ([(0,2),(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)
([(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) => ([(0,3),(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)
([(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) => ([(0,2),(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)
([(0,4),(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),(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)
([(0,3),(0,4),(1,8),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,2),(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),(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)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,8),(5,4),(5,7),(7,8),(8,1)],9) => ([(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)
([(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),(0,3),(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)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,2),(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,3),(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),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,1),(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),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2)],9) => ([(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),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(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),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9) => ([(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),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9) => ([(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),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(6,4),(6,7),(7,8)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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),(0,6),(2,8),(3,7),(4,2),(5,1),(6,4),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,2),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8)],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),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,4),(6,8),(8,1)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(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),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,1),(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),(1,8),(2,8),(3,7),(4,6),(5,4),(5,7),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,8),(5,3),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(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),(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)
([(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) => ([(0,2),(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),(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),(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),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2)],9) => ([(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)
([(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) => ([(0,2),(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)
([(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) => ([(0,3),(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,3),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,4),(5,6),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,3),(5,7),(7,8),(8,2)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,3),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,7),(4,3),(4,8),(5,6),(6,1),(6,2),(6,4),(8,7)],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),(1,7),(2,6),(3,6),(4,8),(5,2),(5,3),(5,8),(6,7),(8,1)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9) => ([(0,4),(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),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(8,1)],9) => ([(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)
([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(5,2),(6,4),(6,5),(8,7)],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),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,4),(6,5),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6),(6,8),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,4),(1,5),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,4),(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)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(0,3),(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)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,4),(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)
([(0,4),(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9) => ([(0,2),(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),(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),(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)
([(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) => ([(0,2),(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(5,7),(6,8),(7,8)],9) => ([(0,4),(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)
([(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) => ([(0,4),(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)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(8,7)],9) => ([(0,5),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(6,5),(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)
([(0,5),(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),(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)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4)],9) => ([(0,2),(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)
([(0,5),(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) => ([(0,2),(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,7),(1,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,2)],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),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(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),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(7,6),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,4),(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),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(6,5),(8,7)],9) => ([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(7,6),(8,4)],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),(1,8),(2,8),(3,8),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(7,6),(8,5)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(7,6),(8,5)],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),(0,7),(1,8),(2,8),(3,8),(4,8),(6,8),(7,1),(7,2),(7,3),(7,4),(8,5)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,2),(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)
([(0,4),(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),(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(8,1)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,4)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(6,5),(8,3)],9) => ([(0,4),(0,6),(1,8),(2,8),(4,8),(5,2),(6,7),(7,1),(7,5),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,4),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(8,4)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(8,7)],9) => ([(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)
([(0,7),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(5,3),(6,7),(7,1),(7,2),(7,5),(8,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(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) => ([(0,5),(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)
([(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(8,7)],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),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(5,8),(6,1),(6,2),(6,3),(7,4),(8,7)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,6),(6,1),(6,2),(6,4),(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),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(7,8),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,4),(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,5),(7,8)],9) => ([(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),(0,5),(1,6),(2,7),(3,8),(4,6),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(3,7),(4,8),(5,7),(6,1),(6,3),(7,8),(8,2)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,3),(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),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5),(7,8)],9) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(7,2),(7,5),(8,4)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(6,5),(7,1),(7,6),(8,4)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(6,5),(8,7)],9) => ([(0,4),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8),(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),(1,6),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(6,8),(7,8)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(7,8),(8,3)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8),(8,3)],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),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => ([(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),(1,8),(2,8),(3,6),(3,8),(4,6),(5,1),(5,2),(5,3),(6,7),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,8),(4,8),(5,1),(5,2),(5,3),(6,7),(8,7)],9) => ([(0,4),(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)
([(0,6),(1,7),(2,7),(3,8),(5,8),(6,1),(6,2),(6,3),(7,5),(8,4)],9) => ([(0,7),(1,8),(2,8),(3,8),(5,6),(6,2),(6,3),(7,1),(7,5),(8,4)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(6,3),(6,4),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,4),(6,5),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,5),(7,1),(7,2),(7,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(2,7),(3,8),(4,8),(5,7),(6,2),(7,8),(8,1)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(7,8)],9) => ([(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),(1,8),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4),(7,8)],9) => ([(0,4),(0,7),(1,8),(2,8),(4,8),(5,6),(6,2),(7,1),(7,5),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],9) => ([(0,4),(0,6),(0,7),(1,8),(2,8),(4,8),(5,1),(6,2),(7,5),(8,3)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,6),(1,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(3,7),(4,8),(5,3),(6,1),(6,7),(7,8),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => ([(0,4),(0,6),(1,8),(3,7),(4,8),(5,1),(5,7),(6,3),(6,5),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,3),(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)
([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8),(8,3)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(6,5),(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),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(8,7)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(5,6),(6,3),(7,1),(7,2),(7,5),(8,4)],9) => ([(0,7),(1,8),(2,8),(3,8),(5,6),(6,3),(7,1),(7,2),(7,5),(8,4)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,5),(7,1),(7,2),(8,4)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(6,5),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8),(8,3)],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),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(6,5),(7,4),(8,7)],9) => ([(0,6),(1,8),(2,8),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8),(8,3)],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),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(6,2),(7,5),(7,6),(8,4)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,7)],9) => ([(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)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(8,5)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(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)
([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => ([(0,1),(0,2),(0,3),(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),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(7,4),(8,7)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(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),(1,7),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,5)],9) => ([(0,4),(0,6),(1,8),(2,8),(4,8),(5,7),(6,5),(7,1),(7,2),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => ([(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),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,4)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,4),(6,7),(7,8)],9) => ([(0,3),(0,5),(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)
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9) => ([(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),(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),(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)
([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],9) => ([(0,3),(0,4),(0,7),(1,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,2)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,3),(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),(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)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(6,3),(7,1),(7,5)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,4),(6,5),(7,1),(7,2),(7,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,7),(7,2),(8,1)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,7),(1,8),(2,8),(3,8),(4,1),(5,6),(6,2),(7,4),(7,5)],9) => ([(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)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(5,7),(6,2),(6,5),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9) => ([(0,3),(0,4),(0,5),(2,8),(3,6),(4,6),(5,2),(5,7),(6,7),(7,8),(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)
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,1),(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),(0,5),(1,6),(2,8),(3,7),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(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)
([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(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),(1,8),(2,7),(3,7),(4,5),(4,8),(5,3),(6,1),(6,4),(8,2)],9) => ([(0,5),(0,6),(1,8),(3,7),(4,1),(4,7),(5,3),(6,4),(7,8),(8,2)],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),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,1),(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),(1,8),(2,7),(3,8),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(5,8),(6,1),(6,4),(8,2)],9) => ([(0,4),(0,6),(1,7),(3,7),(4,8),(5,1),(5,8),(6,5),(7,2),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,6),(6,1),(6,2),(7,4),(7,5)],9) => ([(0,4),(0,5),(0,6),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,2),(5,7),(6,3),(6,4),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,8),(7,3),(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),(1,8),(2,8),(3,4),(4,1),(4,7),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,6),(5,7),(6,8),(7,2),(8,1)],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),(1,8),(2,7),(3,8),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,8),(6,4),(6,5),(8,2)],9) => ([(0,3),(0,6),(2,8),(3,7),(4,2),(5,4),(5,7),(6,5),(7,8),(8,1)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(6,2),(7,4),(7,6)],9) => ([(0,3),(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,5),(7,8),(8,1)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(6,5),(6,8),(7,2),(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),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,4),(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(8,3)],9) => ([(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),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9) => ([(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)
([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5)],9) => ([(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)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(6,5),(7,1),(7,6)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9) => ([(0,2),(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,3)],9) => ([(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)
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,6)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,7),(7,1),(7,2),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(7,2),(8,7)],9) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(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),(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)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(6,4),(6,7),(7,8)],9) => ([(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),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(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),(0,5),(1,6),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,8),(3,7),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8),(8,4)],9) => ([(0,5),(1,8),(2,7),(3,1),(4,3),(4,7),(5,6),(6,2),(6,4),(7,8)],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),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(6,8),(8,3)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => ([(0,1),(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),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,1),(6,4),(7,8)],9) => ([(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)
([(0,7),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(4,5),(5,2),(6,7),(7,1),(7,4),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,3),(6,4),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,4),(6,2),(6,5),(7,8)],9) => ([(0,4),(0,6),(2,8),(3,7),(4,7),(5,3),(6,2),(6,5),(7,8),(8,1)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,7)],9) => ([(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)
([(0,5),(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,4),(6,2),(6,5),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(8,3)],9) => ([(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),(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,4),(7,1),(7,5)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],9) => ([(0,3),(0,4),(0,6),(2,7),(3,8),(4,7),(5,2),(6,5),(7,8),(8,1)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8)],9) => ([(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),(1,8),(2,8),(3,8),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],9) => ([(0,3),(0,4),(0,6),(2,7),(3,8),(4,7),(5,1),(6,2),(7,8),(8,5)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,1),(4,2),(4,7),(5,4),(6,3),(6,7),(7,8)],9) => ([(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),(0,5),(1,8),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,3),(7,8)],9) => ([(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),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(0,4),(0,6),(1,8),(3,8),(4,7),(5,3),(6,1),(6,7),(7,5),(8,2)],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),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(6,5),(7,8)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,3),(6,2),(6,5),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,5),(8,3)],9) => ([(0,4),(0,5),(2,8),(3,7),(4,7),(5,6),(6,2),(6,3),(7,8),(8,1)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(5,7),(6,2),(6,5),(7,8)],9) => ([(0,3),(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,8),(6,1),(6,5),(8,3)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,8),(6,1),(6,2),(7,3),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(0,3),(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),(1,7),(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)
([(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,2),(6,8),(8,7)],9) => ([(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),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8),(8,5)],9) => ([(0,4),(1,8),(2,7),(3,7),(4,6),(5,1),(5,3),(6,2),(6,5),(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,5),(8,2)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(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),(0,5),(1,6),(2,6),(2,7),(3,8),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(3,8),(4,8),(5,2),(5,3),(6,7),(8,1)],9) => ([(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)
([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3),(6,8),(7,8),(8,1)],9) => ([(0,5),(1,7),(2,8),(3,1),(3,6),(4,2),(4,6),(5,3),(5,4),(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),(1,7),(2,8),(3,6),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(8,7)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(8,7)],9) => ([(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)
([(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(6,4),(7,2),(7,6),(8,5)],9) => ([(0,5),(2,8),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,7),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5),(8,6)],9) => ([(0,5),(1,8),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,2),(7,3),(7,4),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,8)],9) => ([(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)
([(0,4),(1,8),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => ([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8),(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),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,4),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(5,3),(6,4),(6,5),(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),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(8,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => ([(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),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8),(8,5)],9) => ([(0,4),(1,8),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5),(7,8)],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),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => ([(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),(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],9) => ([(0,4),(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(7,8),(8,1)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,1),(6,2),(6,8),(7,3),(8,7)],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),(1,6),(2,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(0,4),(0,6),(1,8),(2,7),(4,8),(5,2),(5,8),(6,1),(6,5),(7,3),(8,7)],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),(1,8),(2,8),(3,2),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8),(8,1)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(1,7),(2,8),(3,1),(3,6),(4,2),(4,6),(5,3),(5,4),(6,8),(8,7)],9) => ([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3),(6,8),(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)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,3),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,7),(6,8),(7,8),(8,1)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,2),(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)
([(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) => ([(0,2),(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),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8)],9) => ([(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)
([(0,3),(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),(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)
([(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(6,8),(7,8)],9) => ([(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)
([(0,6),(1,7),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,5)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,4),(7,8),(8,2)],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),(0,5),(1,6),(2,7),(3,8),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(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),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,5),(7,8)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => ([(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),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(8,4)],9) => ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,6),(6,2),(6,3),(7,8),(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,3),(6,5),(8,2)],9) => ([(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)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,5),(7,8)],9) => ([(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)
([(0,7),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(8,6)],9) => ([(0,6),(1,8),(2,8),(4,2),(5,1),(6,7),(7,4),(7,5),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(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),(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)
([(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9) => ([(0,1),(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)
([(0,3),(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),(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)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,6),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(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),(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)
([(0,5),(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),(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)
([(0,4),(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),(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),(0,5),(1,8),(2,8),(3,8),(4,3),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9) => ([(0,2),(2,1)],3)
([(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) => ([(0,2),(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,5),(0,6),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(8,4)],9) => ([(0,4),(1,7),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,8),(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)
([(0,4),(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),(1,7),(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)
([(0,5),(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),(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)
([(0,4),(0,5),(1,8),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,1),(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),(1,8),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,3),(0,4),(1,5),(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),(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),(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)
([(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7),(7,8)],9) => ([(0,2),(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)
([(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) => ([(0,3),(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)
([(0,4),(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),(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)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,4),(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),(0,6),(1,8),(2,8),(3,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8),(8,4)],9) => ([(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(5,3),(5,4),(6,7),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,4),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,4)],9) => ([(0,2),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,6),(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),(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)
([(0,5),(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) => ([(0,1),(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)
([(0,5),(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),(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),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(8,2)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,3),(5,8),(6,1),(6,2),(6,4),(8,7)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,4),(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),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(8,7)],9) => ([(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),(1,7),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4),(6,8),(7,8)],9) => ([(0,5),(0,6),(1,8),(2,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,4),(8,3)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,8)],9) => ([(0,2),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,4)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(7,8)],9) => ([(0,3),(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)
([(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),(2,6),(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),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(7,4),(8,7)],9) => ([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(4,7),(5,1),(5,4),(6,8),(7,8)],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),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,4),(6,3),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,2),(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),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(7,8),(8,3)],9) => ([(0,5),(1,6),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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),(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)
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => ([(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),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,2),(6,3),(7,8)],9) => ([(0,5),(0,6),(1,8),(2,7),(4,8),(5,2),(6,1),(6,7),(7,4),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,3),(6,4),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,7),(4,7),(5,2),(5,8),(6,1),(6,5),(7,3),(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)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,1),(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),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,2),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,2),(6,3),(6,4),(8,7)],9) => ([(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)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(8,5)],9) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) => ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) => ([(0,1),(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)
([(0,4),(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),(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)
([(0,3),(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),(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)
([(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),(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)
([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9) => ([(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)
([(0,4),(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),(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)
([(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),(0,6),(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)
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],9) => ([(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(7,6),(8,1)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,1),(7,4),(7,6)],9) => ([(0,6),(0,7),(1,8),(2,8),(4,5),(5,2),(6,4),(7,1),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,2),(6,5),(7,8)],9) => ([(0,5),(0,6),(1,8),(3,7),(4,3),(5,4),(6,1),(6,7),(7,8),(8,2)],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),(2,8),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5),(7,8),(8,1)],9) => ([(0,6),(1,8),(3,7),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8),(8,2)],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),(1,8),(2,7),(3,2),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,6),(2,8),(3,7),(4,5),(5,2),(6,4),(6,7),(7,8),(8,1)],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),(1,8),(2,8),(3,8),(4,8),(5,7),(6,2),(6,3),(7,1),(7,6)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,7),(6,1),(7,6),(8,7)],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),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,3)],9) => ([(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)
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,1),(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),(1,8),(2,8),(3,8),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7),(7,8)],9) => ([(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)
([(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),(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)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,3),(6,8),(8,2)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,7),(3,8),(4,1),(4,7),(5,6),(6,2),(6,4),(7,8)],9) => ([(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),(1,8),(2,7),(3,7),(4,3),(4,8),(5,6),(6,1),(6,4),(8,2)],9) => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,4),(7,8),(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)
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(5,3),(6,4),(6,7),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(3,7),(4,3),(5,4),(6,1),(6,7),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,2),(6,5),(7,8)],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),(1,8),(2,7),(3,1),(4,3),(4,7),(5,6),(6,2),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8),(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)
([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9) => ([(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)
([(0,5),(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),(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)
([(0,3),(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,1),(6,2),(7,5)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(6,7),(7,1),(7,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3)],9) => ([(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),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2)],9) => ([(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)
([(0,4),(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),(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),(0,6),(1,8),(2,8),(3,7),(4,1),(5,4),(5,7),(6,5),(7,8)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,4),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,4),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,7),(4,3),(4,8),(5,6),(6,1),(6,4),(8,2)],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),(0,6),(1,7),(2,7),(3,8),(4,5),(4,8),(5,2),(6,4),(8,1)],9) => ([(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)
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => ([(0,1),(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),(1,8),(2,8),(3,7),(4,6),(4,7),(5,4),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,6),(4,1),(4,8),(5,3),(6,8),(8,7)],9) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,8),(5,4),(5,7),(7,8),(8,1)],9) => ([(0,1),(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),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2),(7,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3)],9) => ([(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),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(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),(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),(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)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,7),(5,6),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,4),(8,3)],9) => ([(0,4),(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(8,5)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,3),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => ([(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)
([(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(7,4),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(7,4),(8,5)],9) => ([(0,1),(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),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,4),(8,3)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,2),(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5)],9) => ([(0,2),(0,3),(0,7),(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)
([(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),(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)
([(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9) => ([(0,2),(0,3),(0,4),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5),(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)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(7,8)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3)],9) => ([(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)
([(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),(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)
([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,1),(6,4),(7,5)],9) => ([(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)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,2),(6,7),(7,1),(7,4)],9) => ([(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)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(4,7),(5,2),(6,4),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(4,8),(5,1),(6,4),(8,3)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3)],9) => ([(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),(1,8),(2,8),(3,8),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],9) => ([(0,3),(0,4),(0,7),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(8,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,4),(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),(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)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],9) => ([(0,3),(0,4),(0,5),(2,7),(3,8),(4,8),(5,7),(6,1),(7,6),(8,2)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(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),(3,7),(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)
([(0,3),(0,5),(0,6),(1,7),(2,7),(3,8),(4,1),(5,2),(6,4),(7,8)],9) => ([(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)
([(0,3),(0,5),(1,7),(2,7),(3,8),(4,2),(5,6),(6,1),(6,4),(7,8)],9) => ([(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)
([(0,6),(2,8),(3,8),(4,3),(5,1),(6,7),(7,2),(7,4),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,3),(5,1),(6,7),(7,2),(7,4),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,6),(0,7),(2,8),(3,8),(4,2),(5,1),(6,4),(7,3),(8,5)],9) => ([(0,6),(1,8),(2,8),(3,4),(4,1),(5,2),(6,7),(7,3),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,7),(5,1),(6,5),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,5),(8,2)],9) => ([(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)
([(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),(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),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1)],9) => ([(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)
([(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) => ([(0,3),(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)
([(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) => ([(0,3),(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)
([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(5,4),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,5),(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)
([(0,3),(0,4),(0,5),(1,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,3),(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)
([(0,2),(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),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => ([(0,4),(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),(0,5),(1,6),(2,6),(3,7),(4,8),(5,2),(5,8),(6,7),(8,1)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4),(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,2),(5,8),(6,7),(8,1)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,7),(6,8),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,3),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,6),(6,7),(8,1)],9) => ([(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)
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(7,5),(8,3)],9) => ([(0,5),(1,8),(2,7),(3,4),(4,1),(4,7),(5,6),(6,2),(6,3),(7,8)],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),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(6,4),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4),(7,8)],9) => ([(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)
([(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),(0,5),(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)
([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,8),(5,4),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,7),(5,4),(5,6),(6,8),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,2)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,8),(3,6),(4,1),(4,8),(5,4),(5,6),(6,8),(8,7)],9) => ([(0,3),(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)
([(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) => ([(0,4),(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)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,5)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,4),(6,3),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(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)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,7)],9) => ([(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),(0,5),(0,6),(1,8),(2,7),(4,8),(5,1),(6,2),(6,8),(7,3),(8,7)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5),(7,8)],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),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(7,8)],9) => ([(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),(0,4),(1,6),(2,6),(3,7),(4,5),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(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)
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,1),(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),(1,8),(2,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8),(8,3)],9) => ([(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(5,4),(6,8),(8,7)],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),(0,6),(1,7),(3,7),(4,8),(5,1),(6,5),(6,8),(7,2),(8,3)],9) => ([(0,6),(1,8),(2,7),(3,5),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],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),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,1),(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),(0,6),(1,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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),(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)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,2),(5,7),(7,8),(8,1)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => ([(0,3),(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)
([(0,2),(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) => ([(0,2),(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)
([(0,3),(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),(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)
([(0,1),(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),(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)
([(0,2),(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) => ([(0,2),(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)
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9) => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9) => ([(0,1),(0,2),(0,3),(0,4),(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),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,2),(5,6),(6,8),(7,1)],9) => ([(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)
([(0,2),(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),(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)
([(0,2),(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),(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)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,4),(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),(0,5),(1,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8),(8,2)],9) => ([(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,2),(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)
([(0,3),(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),(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)
([(0,3),(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),(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),(0,5),(0,6),(2,8),(3,8),(4,7),(5,3),(5,7),(6,2),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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) => ([(0,2),(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8)],9) => ([(0,2),(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)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9) => ([(0,1),(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,6)],9) => ([(0,2),(0,3),(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,2),(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)
([(0,3),(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),(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)
([(0,4),(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) => ([(0,2),(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)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,3),(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),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4),(6,8),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(6,7),(8,7)],9) => ([(0,4),(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)
([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4),(6,8),(7,8)],9) => ([(0,4),(0,5),(2,7),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(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),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,6),(6,7),(7,8),(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),(1,8),(2,7),(3,5),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => ([(0,4),(0,6),(1,7),(3,7),(4,8),(5,1),(6,5),(6,8),(7,2),(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),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(8,7)],9) => ([(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),(1,8),(2,8),(3,7),(4,3),(4,8),(5,2),(5,4),(6,1),(6,5),(8,7)],9) => ([(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8),(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(8,7)],9) => ([(0,4),(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)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(6,7),(8,1)],9) => ([(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),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(4,8),(5,2),(6,7),(8,1)],9) => ([(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),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,2),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(8,3)],9) => ([(0,3),(0,5),(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)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,1),(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)
([(0,3),(0,6),(2,8),(3,7),(4,5),(5,2),(6,4),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,2),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8)],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),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(6,8),(7,8)],9) => ([(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),(1,8),(3,8),(4,7),(5,3),(6,1),(6,7),(7,5),(8,2)],9) => ([(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],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),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,7),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,4),(6,1),(6,8),(8,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,4),(7,8)],9) => ([(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)
([(0,2),(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),(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),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4),(7,8)],9) => ([(0,3),(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,7),(7,8),(8,5)],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),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,4),(6,8),(7,8)],9) => ([(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),(0,4),(1,6),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2),(6,8),(7,8)],9) => ([(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),(1,7),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => ([(0,5),(0,6),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(8,4)],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),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(6,2),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,5),(1,8),(2,7),(3,8),(4,2),(4,8),(5,6),(6,1),(6,4),(8,7)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,3),(5,8),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,7),(4,3),(4,8),(5,6),(6,1),(6,2),(6,4),(8,7)],9) => ([(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,3),(6,7),(7,8),(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)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,3),(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) => ([(0,3),(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)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(0,4),(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),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,3),(5,8),(6,7),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,4),(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),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,2),(5,4),(6,1),(6,5),(8,7)],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),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(6,5),(8,7)],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),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,4),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,5),(5,3),(5,8),(6,1),(6,2),(6,4),(8,7)],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),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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),(0,6),(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)
([(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) => ([(0,3),(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)
([(0,3),(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),(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)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => ([(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)
([(0,4),(1,8),(2,8),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => ([(0,3),(0,4),(0,6),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(7,5),(8,7)],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),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => ([(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),(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,4),(6,5),(7,1),(7,6)],9) => ([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,3),(6,2),(7,8),(8,1)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,5),(7,8)],9) => ([(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)
([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],9) => ([(0,4),(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(7,2),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => ([(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)
([(0,7),(1,8),(2,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,4)],9) => ([(0,6),(0,7),(1,8),(2,8),(4,2),(5,1),(6,4),(7,5),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,7),(3,2),(4,1),(5,4),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,5),(0,6),(1,8),(3,7),(4,1),(5,3),(6,4),(6,7),(7,8),(8,2)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,6),(1,8),(3,7),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8),(8,2)],9) => ([(0,6),(2,8),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5),(7,8),(8,1)],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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,7),(4,6),(5,1),(5,2),(6,8),(7,8)],9) => ([(0,3),(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)
([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(5,4),(6,8),(7,8)],9) => ([(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),(0,6),(1,7),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(8,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,4),(1,8),(2,7),(3,7),(4,6),(5,1),(5,3),(6,2),(6,5),(7,8)],9) => ([(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8),(8,5)],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),(1,8),(2,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8),(8,3)],9) => ([(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(5,3),(5,4),(6,7),(8,1)],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)
([(0,7),(1,8),(2,8),(4,6),(5,2),(6,5),(7,1),(7,4),(8,3)],9) => ([(0,7),(1,8),(2,8),(4,6),(5,2),(6,5),(7,1),(7,4),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(8,7)],9) => ([(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),(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(7,2),(7,5),(8,4)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(6,5),(7,1),(7,6),(8,4)],9) => ([(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5),(7,8),(8,1)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,7),(1,8),(2,8),(4,8),(5,6),(6,2),(7,1),(7,5),(8,3)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4),(7,8)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(5,6),(6,2),(6,3),(7,1),(7,5),(8,4)],9) => ([(0,6),(1,7),(2,7),(3,8),(5,8),(6,1),(6,2),(6,3),(7,5),(8,4)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,8),(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)
([(0,7),(2,8),(3,8),(4,1),(5,3),(6,4),(7,2),(7,5),(8,6)],9) => ([(0,6),(1,8),(2,8),(4,7),(5,2),(6,4),(7,1),(7,5),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,3),(6,2),(6,5),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,13),(2,3),(2,4),(2,13),(3,8),(3,12),(4,7),(4,12),(5,10),(5,11),(6,9),(6,11),(7,15),(8,15),(9,14),(10,14),(11,14),(12,5),(12,6),(12,15),(13,7),(13,8),(15,9),(15,10)],16)
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,4),(6,2),(6,5),(7,8)],9) => ([(0,5),(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(7,8),(8,1)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,6),(2,8),(3,7),(4,7),(5,2),(5,4),(6,3),(6,5),(7,8),(8,1)],9) => ([(0,6),(2,8),(3,7),(4,7),(5,2),(5,4),(6,3),(6,5),(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)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8),(8,3)],9) => ([(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(8,7)],9) => ([(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)
([(0,4),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(8,6)],9) => ([(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3),(7,8)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(7,3),(8,7)],9) => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,5),(7,1),(7,2),(8,4)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(1,8),(2,8),(3,8),(5,7),(6,2),(6,3),(7,1),(7,6),(8,4)],9) => ([(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,5),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,7),(2,8),(4,7),(5,8),(6,1),(6,2),(7,3),(8,4)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,5),(5,2),(5,8),(6,1),(6,4),(8,7)],9) => ([(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)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,2),(5,4),(5,8),(6,1),(6,5),(8,7)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,7),(4,8),(5,2),(5,8),(6,1),(6,5),(7,3),(8,7)],9) => ([(0,5),(1,6),(2,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(8,7)],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),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,8),(3,8),(4,6),(5,1),(5,2),(6,7),(8,7)],9) => ([(0,4),(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)
([(0,5),(0,6),(1,7),(2,8),(4,7),(5,8),(6,1),(6,2),(7,3),(8,4)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,8),(5,7),(6,1),(6,3),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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),(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)
([(0,3),(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) => ([(0,2),(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,4)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => ([(0,3),(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)
([(0,5),(0,6),(1,8),(2,8),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,8),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(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),(0,5),(1,8),(2,6),(3,6),(4,1),(4,7),(5,2),(5,7),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(4,8),(5,1),(5,8),(6,7),(8,2)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,1),(4,6),(5,2),(5,6),(6,8),(8,7)],9) => ([(0,4),(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)
([(0,4),(0,5),(2,7),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4),(6,8),(7,8)],9) => ([(0,1),(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),(1,8),(2,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8),(8,3)],9) => ([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,4),(8,3)],9) => ([(0,5),(1,7),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4),(6,8),(7,8)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,8),(8,3)],9) => ([(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(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) => ([(0,1),(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)
([(0,3),(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),(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)
([(0,2),(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) => ([(0,1),(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)
([(0,2),(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) => ([(0,2),(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),(0,6),(1,8),(2,8),(3,4),(4,2),(4,7),(5,3),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8)],9) => ([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8),(8,5)],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),(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),(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)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9) => ([(0,2),(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)
([(0,2),(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) => ([(0,2),(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),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,7),(2,7),(3,8),(4,2),(5,3),(6,1),(6,8),(8,4)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(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),(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)
([(0,5),(0,6),(1,8),(2,7),(3,4),(4,1),(4,7),(5,3),(6,2),(7,8)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(6,8),(8,7)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,3),(5,4),(6,1),(6,7),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,1),(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),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8)],9) => ([(0,3),(0,6),(2,8),(3,7),(4,2),(5,1),(6,4),(6,7),(7,8),(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),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(5,1),(6,8),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,7),(3,4),(4,1),(5,2),(6,3),(6,7),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(3,7),(4,1),(5,3),(6,4),(6,7),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,7),(3,2),(4,1),(5,4),(5,7),(6,3),(6,5),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,7),(4,8),(5,2),(6,1),(6,7),(7,4),(8,3)],9) => ([(0,6),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,2),(6,3),(7,8)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,8),(5,3),(6,1),(6,7),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(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),(0,6),(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)
([(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,2),(7,5)],9) => ([(0,3),(0,7),(1,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,2)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,5),(1,8),(2,8),(3,8),(4,3),(5,7),(6,1),(6,2),(7,4),(7,6)],9) => ([(0,3),(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(7,8),(8,5)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,1),(4,3),(4,7),(5,4),(6,2),(6,7),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,7),(2,8),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],9) => ([(0,2),(0,3),(0,4),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8),(8,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(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),(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)
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4),(7,8)],9) => ([(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,2),(7,4),(8,3)],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)
([(0,7),(1,8),(2,8),(4,1),(5,6),(6,2),(7,4),(7,5),(8,3)],9) => ([(0,7),(1,8),(2,8),(4,1),(5,6),(6,2),(7,4),(7,5),(8,3)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(7,8)],9) => ([(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),(1,8),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5),(7,8)],9) => ([(0,4),(0,6),(2,7),(3,7),(4,8),(5,3),(6,2),(6,5),(7,8),(8,1)],9) => ([(0,1),(0,2),(1,13),(2,3),(2,4),(2,13),(3,8),(3,12),(4,7),(4,12),(5,10),(5,11),(6,9),(6,11),(7,15),(8,15),(9,14),(10,14),(11,14),(12,5),(12,6),(12,15),(13,7),(13,8),(15,9),(15,10)],16)
([(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,3),(6,1),(6,2),(8,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(4,1),(5,2),(5,8),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,2),(6,4),(7,1)],9) => ([(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)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(5,1),(6,7),(7,4),(7,5)],9) => ([(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)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,4),(7,1),(7,5)],9) => ([(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)
([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,4),(7,8)],9) => ([(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)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(5,8),(6,4),(8,1)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2)],9) => ([(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),(1,8),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],9) => ([(0,3),(0,4),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(8,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(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),(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)
([(0,2),(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) => ([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,6),(0,7),(1,8),(2,8),(3,4),(4,1),(5,2),(6,5),(7,3)],9) => ([(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),(0,6),(1,8),(2,7),(3,1),(4,3),(4,7),(5,4),(6,2),(7,8)],9) => ([(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)
([(0,5),(0,6),(1,8),(3,7),(4,1),(4,7),(5,3),(6,4),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,5),(4,8),(5,3),(6,1),(6,4),(8,2)],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),(1,8),(2,8),(3,7),(4,5),(5,1),(6,3),(7,2),(7,4)],9) => ([(0,3),(0,7),(2,8),(3,8),(4,2),(5,1),(6,5),(7,4),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,6),(1,8),(2,8),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],9) => ([(0,3),(0,7),(2,8),(3,8),(4,2),(5,4),(6,1),(7,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(4,7),(5,3),(6,4),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,7),(3,4),(4,1),(4,7),(5,6),(6,2),(6,3),(7,8)],9) => ([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(7,5),(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),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(7,8)],9) => ([(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)
([(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) => ([(0,4),(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)
([(0,3),(0,4),(0,5),(1,7),(2,6),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1)],9) => ([(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),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(5,2),(6,8),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,3)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(6,1),(8,5)],9) => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(6,8),(8,7)],9) => ([(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)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2)],9) => ([(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)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2),(8,5)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1),(8,6)],9) => ([(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)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(8,7)],9) => ([(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)
([(0,4),(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(7,2),(8,5)],9) => ([(0,6),(1,8),(2,8),(3,8),(4,3),(5,2),(6,7),(7,1),(7,4),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,3),(5,4),(6,2),(7,1)],9) => ([(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)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(6,7),(7,2),(7,4)],9) => ([(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),(1,8),(2,8),(3,8),(4,3),(5,2),(6,7),(7,1),(7,4),(7,5)],9) => ([(0,4),(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(7,2),(8,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(6,1),(6,4),(6,7),(7,8)],9) => ([(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)
([(0,3),(0,4),(1,7),(2,8),(3,6),(4,5),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => ([(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)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(4,7),(5,2),(6,4),(7,8)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,4),(6,8),(7,8)],9) => ([(0,4),(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)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(4,8),(5,1),(6,4),(8,5)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(6,8),(8,7)],9) => ([(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)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,7),(4,1),(4,7),(5,4),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,6),(1,7),(3,7),(4,8),(5,1),(5,8),(6,5),(7,2),(8,3)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(5,8),(6,1),(6,4),(8,2)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,3),(0,4),(0,6),(1,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8),(8,2)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,4)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,4),(7,1)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(7,4),(7,5)],9) => ([(0,6),(0,7),(2,8),(3,8),(4,1),(5,4),(6,3),(7,2),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,3),(7,8)],9) => ([(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)
([(0,3),(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,4),(7,8),(8,2)],9) => ([(0,6),(1,7),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(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)
([(0,6),(1,8),(2,8),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],9) => ([(0,3),(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,4),(7,8)],9) => ([(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)
([(0,6),(1,8),(2,8),(3,4),(4,1),(5,2),(6,7),(7,3),(7,5)],9) => ([(0,6),(0,7),(2,8),(3,8),(4,2),(5,1),(6,4),(7,3),(8,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,2),(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,5),(7,8)],9) => ([(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)
([(0,3),(0,6),(2,8),(3,7),(4,2),(5,4),(5,7),(6,5),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,8),(6,4),(6,5),(8,2)],9) => ([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(7,8)],9) => ([(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),(0,5),(1,8),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4),(7,8)],9) => ([(0,4),(0,7),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(4,8),(5,1),(6,4),(8,7)],9) => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(6,8),(7,8)],9) => ([(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),(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,7),(5,1),(6,2),(7,8),(8,5)],9) => ([(0,5),(1,8),(2,8),(3,8),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,6),(0,7),(1,8),(2,8),(4,8),(5,1),(6,2),(7,5),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,4),(0,6),(1,8),(2,8),(4,8),(5,2),(6,7),(7,1),(7,5),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(6,5),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,3),(6,7),(7,1),(7,2),(8,4)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,5),(8,3)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,8),(5,3),(6,7),(7,1),(7,2),(7,5),(8,4)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5),(8,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(7,8)],9) => ([(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)
([(0,6),(0,7),(1,8),(2,8),(4,5),(5,2),(6,4),(7,1),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,1),(7,4),(7,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,8),(4,7),(5,2),(6,4),(7,1),(7,5),(8,3)],9) => ([(0,7),(2,8),(3,8),(4,1),(5,3),(6,4),(7,2),(7,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,6),(1,8),(2,8),(4,2),(5,1),(6,7),(7,4),(7,5),(8,3)],9) => ([(0,7),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(8,4)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(7,6)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,6),(0,7),(2,8),(3,8),(4,1),(5,4),(6,3),(7,2),(8,5)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(7,4),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,3),(6,2),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,4),(6,5),(7,1),(7,6)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,8)],9) => ([(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)
([(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(6,4),(7,8)],9) => ([(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,2),(7,3),(7,4),(8,5)],9) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(2,8),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(6,4),(7,2),(7,6),(8,5)],9) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => ([(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)
([(0,4),(0,5),(1,8),(2,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8),(8,3)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(6,5),(8,4)],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)
([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,4),(0,5),(2,7),(3,7),(4,8),(5,6),(6,2),(6,3),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(8,4)],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)
([(0,3),(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,4),(7,8)],9) => ([(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)
([(0,4),(0,5),(2,8),(3,7),(4,7),(5,6),(6,2),(6,3),(7,8),(8,1)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,5),(8,3)],9) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,7),(2,8),(3,8),(4,2),(5,1),(6,5),(7,4),(8,6)],9) => ([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(6,3),(7,2),(7,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,7),(5,2),(6,5),(7,8),(8,1)],9) => ([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],9) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,7),(1,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,2)],9) => ([(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,2),(7,5)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,6),(0,7),(1,8),(2,8),(4,2),(5,1),(6,4),(7,5),(8,3)],9) => ([(0,7),(1,8),(2,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,4)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,8),(4,5),(5,2),(6,7),(7,1),(7,4),(8,3)],9) => ([(0,7),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4),(8,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(4,1),(5,4),(6,8),(7,8)],9) => ([(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)
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) => ([(0,1),(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),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12) => ([(0,1),(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),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => ([(0,1),(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),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20) => ([(0,1),(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)
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18) => ([(0,1),(0,2),(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)
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17) => ([(0,2),(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) => ([(0,1),(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),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13) => ([(0,3),(0,4),(0,5),(2,9),(2,10),(3,6),(3,8),(4,6),(4,7),(5,2),(5,7),(5,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13) => ([(0,1),(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),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11) => ([(0,4),(0,5),(2,7),(2,9),(3,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,8),(6,9),(7,10),(8,10),(9,10),(10,1)],11) => ([(0,1),(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),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10) => ([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10) => ([(0,1),(0,2),(0,3),(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)
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,1),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8)],14) => ([(0,1),(0,2),(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),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => ([(0,3),(0,4),(0,5),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,10),(7,10),(8,2),(8,10),(9,1),(10,9)],11) => ([(0,1),(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),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12) => ([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12) => ([(0,1),(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),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,1),(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),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16) => ([(0,1),(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),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12) => ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12) => ([(0,1),(0,2),(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),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,9),(7,9),(8,9)],10) => ([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20) => ([(0,1),(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),(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)
([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12) => ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12) => ([(0,1),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18) => ([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18) => ([(0,1),(0,2),(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)
([(0,2),(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),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,9),(7,9),(8,9)],10) => ([(0,1),(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)
([(0,2),(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) => ([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17) => ([(0,1),(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),(0,5),(1,10),(2,7),(2,8),(3,9),(3,12),(4,9),(4,11),(5,2),(5,11),(5,12),(7,14),(8,14),(9,1),(9,13),(10,6),(11,7),(11,13),(12,8),(12,13),(13,10),(13,14),(14,6)],15) => ([(0,2),(0,3),(1,11),(2,1),(2,12),(3,4),(3,5),(3,12),(4,8),(4,10),(5,8),(5,9),(6,14),(7,14),(8,13),(9,6),(9,13),(10,7),(10,13),(11,6),(11,7),(12,9),(12,10),(12,11),(13,14)],15) => ([(0,1),(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),(0,5),(1,11),(2,10),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(7,12),(8,2),(8,12),(9,1),(9,12),(10,6),(11,6),(12,10),(12,11)],13) => ([(0,3),(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) => ([(0,1),(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),(0,5),(1,9),(2,8),(3,7),(3,10),(4,6),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(10,2),(10,11),(11,1),(11,8)],12) => ([(0,4),(0,5),(1,7),(1,9),(2,7),(2,8),(3,6),(4,10),(5,3),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,1),(10,2),(10,6)],12) => ([(0,1),(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),(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),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,9),(5,9),(6,10),(7,10),(8,10),(9,1),(9,2),(9,3)],11) => ([(0,1),(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),(0,5),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,10),(7,10),(8,2),(8,10),(9,1),(10,9)],11) => ([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => ([(0,1),(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),(0,5),(1,8),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,1),(12,13),(13,8)],14) => ([(0,1),(0,2),(1,11),(2,4),(2,5),(2,11),(3,6),(3,7),(4,8),(4,10),(5,8),(5,9),(6,13),(7,13),(8,12),(9,6),(9,12),(10,7),(10,12),(11,3),(11,9),(11,10),(12,13)],14) => ([(0,1),(0,2),(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),(0,5),(2,9),(2,10),(3,6),(3,8),(4,6),(4,7),(5,2),(5,7),(5,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13) => ([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13) => ([(0,1),(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),(0,5),(1,8),(1,10),(2,7),(2,9),(3,11),(3,12),(4,2),(4,11),(4,13),(5,1),(5,12),(5,13),(6,17),(7,15),(8,16),(9,6),(9,15),(10,6),(10,16),(11,7),(11,14),(12,8),(12,14),(13,9),(13,10),(13,14),(14,15),(14,16),(15,17),(16,17)],18) => ([(0,3),(0,4),(0,5),(1,8),(1,10),(2,7),(2,9),(3,11),(3,12),(4,2),(4,11),(4,13),(5,1),(5,12),(5,13),(6,17),(7,15),(8,16),(9,6),(9,15),(10,6),(10,16),(11,7),(11,14),(12,8),(12,14),(13,9),(13,10),(13,14),(14,15),(14,16),(15,17),(16,17)],18) => ([(0,1),(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),(0,5),(1,6),(1,7),(2,8),(2,10),(3,9),(3,11),(4,9),(4,12),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,15),(10,6),(10,13),(11,8),(11,15),(12,1),(12,10),(12,15),(13,14),(15,7),(15,13)],16) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(2,10),(3,9),(3,11),(4,9),(4,12),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,15),(10,6),(10,13),(11,8),(11,15),(12,1),(12,10),(12,15),(13,14),(15,7),(15,13)],16) => ([(0,1),(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),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) => ([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11) => ([(0,1),(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),(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),(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) => ([(0,1),(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) => ([(0,1),(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)
([(0,2),(0,3),(1,11),(2,1),(2,12),(3,4),(3,5),(3,12),(4,8),(4,10),(5,8),(5,9),(6,14),(7,14),(8,13),(9,6),(9,13),(10,7),(10,13),(11,6),(11,7),(12,9),(12,10),(12,11),(13,14)],15) => ([(0,3),(0,4),(0,5),(1,10),(2,7),(2,8),(3,9),(3,12),(4,9),(4,11),(5,2),(5,11),(5,12),(7,14),(8,14),(9,1),(9,13),(10,6),(11,7),(11,13),(12,8),(12,13),(13,10),(13,14),(14,6)],15) => ([(0,1),(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)
([(0,1),(0,2),(1,11),(2,4),(2,5),(2,11),(3,6),(3,7),(4,8),(4,10),(5,8),(5,9),(6,13),(7,13),(8,12),(9,6),(9,12),(10,7),(10,12),(11,3),(11,9),(11,10),(12,13)],14) => ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,1),(12,13),(13,8)],14) => ([(0,1),(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),(1,8),(2,7),(2,9),(3,7),(3,10),(4,6),(5,2),(5,3),(5,6),(6,9),(6,10),(7,11),(9,11),(10,1),(10,11),(11,8)],12) => ([(0,4),(0,5),(1,8),(2,7),(2,9),(3,7),(3,10),(4,6),(5,2),(5,3),(5,6),(6,9),(6,10),(7,11),(9,11),(10,1),(10,11),(11,8)],12) => ([(0,1),(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),(2,7),(2,9),(3,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,8),(6,9),(7,10),(8,10),(9,10),(10,1)],11) => ([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11) => ([(0,1),(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),(1,11),(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),(0,5),(1,11),(2,10),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(7,12),(8,2),(8,12),(9,1),(9,12),(10,6),(11,6),(12,10),(12,11)],13) => ([(0,1),(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),(1,7),(1,9),(2,7),(2,8),(3,6),(4,10),(5,3),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,1),(10,2),(10,6)],12) => ([(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(3,10),(4,6),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(10,2),(10,11),(11,1),(11,8)],12) => ([(0,1),(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),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,9),(5,9),(6,10),(7,10),(8,10),(9,1),(9,2),(9,3)],11) => ([(0,3),(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) => ([(0,1),(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),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,1),(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),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11) => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) => ([(0,1),(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)
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => ([(0,1),(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),(0,5),(1,8),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,1),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8)],14) => ([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14) => ([(0,1),(0,2),(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),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,1),(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),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(0,1),(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),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,1),(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)
([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(4,7),(5,9),(6,9),(7,9),(8,9)],10) => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(4,7),(5,9),(6,9),(7,9),(8,9)],10) => ([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,16),(2,8),(2,11),(2,16),(3,7),(3,10),(3,16),(4,6),(4,10),(4,11),(4,12),(5,6),(5,7),(5,8),(5,9),(6,13),(6,14),(6,15),(7,13),(7,17),(8,14),(8,17),(9,15),(9,17),(10,13),(10,18),(11,14),(11,18),(12,15),(12,18),(13,19),(14,19),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,16),(2,8),(2,11),(2,16),(3,7),(3,10),(3,16),(4,6),(4,10),(4,11),(4,12),(5,6),(5,7),(5,8),(5,9),(6,13),(6,14),(6,15),(7,13),(7,17),(8,14),(8,17),(9,15),(9,17),(10,13),(10,18),(11,14),(11,18),(12,15),(12,18),(13,19),(14,19),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => ([(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),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => ([(0,1)],2)
Map
dual
Description
Return the dual lattice.
The dual (or opposite) of a lattice $(\mathcal P,\leq)$ is the lattice $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
The dual (or opposite) of a lattice $(\mathcal P,\leq)$ is the lattice $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
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.
searching the database
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