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Cc0014;cc-rep-0Cc0029;cc-rep-1
([],1)=>([(0,1)],2)
([],2)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1)],2)=>([(0,2),(2,1)],3)
([],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)
([(1,2)],3)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,1),(0,2)],3)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(2,1)],3)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(1,2)],3)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([],4)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(2,3)],4)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(1,2),(1,3)],4)=>([(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)],4)=>([(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),(3,1)],4)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(1,2),(2,3)],4)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(1,3),(2,3)],4)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(1,3),(3,2)],4)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(1,3),(2,3)],4)=>([(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),(1,2)],4)=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
([(0,3),(1,2),(1,3)],4)=>([(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),(1,2),(1,3)],4)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(2,1),(3,2)],4)=>([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(1,2),(2,3)],4)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
([(2,3),(2,4)],5)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(1,2),(1,3),(1,4)],5)=>([(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)],5)=>([(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),(4,1)],5)=>([(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),(2,4),(3,4)],5)=>([(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),(1,4),(2,4),(3,4)],5)=>([(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)
([(1,3),(1,4),(4,2)],5)=>([(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),(4,1),(4,2)],5)=>([(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)
([(1,2),(1,3),(2,4),(3,4)],5)=>([(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)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
([(0,3),(0,4),(3,2),(4,1)],5)=>([(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)
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(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),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(2,3),(3,4)],5)=>([(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)
([(1,4),(4,2),(4,3)],5)=>([(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),(4,1),(4,2),(4,3)],5)=>([(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)
([(2,4),(3,4)],5)=>([(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)
([(1,4),(2,4),(4,3)],5)=>([(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),(1,4),(4,2),(4,3)],5)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(1,4),(2,4),(3,4)],5)=>([(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),(1,4),(2,4),(4,3)],5)=>([(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),(1,4),(2,4),(3,4)],5)=>([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(0,4),(1,4),(2,3)],5)=>([(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)
([(0,4),(1,3),(2,3),(2,4)],5)=>([(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)
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(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)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(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),(1,4),(2,3),(4,2)],5)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
([(0,4),(1,3),(2,3),(3,4)],5)=>([(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)
([(0,4),(1,4),(2,3),(2,4)],5)=>([(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)
([(0,4),(1,4),(2,3),(3,4)],5)=>([(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)
([(1,4),(2,3)],5)=>([(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)
([(1,4),(2,3),(2,4)],5)=>([(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)
([(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
([(1,3),(1,4),(2,3),(2,4)],5)=>([(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),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
([(0,4),(1,2),(1,4),(4,3)],5)=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
([(0,4),(1,2),(1,3)],5)=>([(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)
([(0,4),(1,2),(1,3),(1,4)],5)=>([(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)
([(0,2),(0,4),(3,1),(4,3)],5)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
([(0,4),(1,2),(1,3),(3,4)],5)=>([(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)
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(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)
([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(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)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(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),(1,2),(1,3),(2,4)],5)=>([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10)
([(0,3),(1,2),(1,4),(3,4)],5)=>([(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),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(1,4),(3,2),(4,3)],5)=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
([(0,3),(3,4),(4,1),(4,2)],5)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
([(1,4),(2,3),(3,4)],5)=>([(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)
([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
([(0,3),(1,4),(4,2)],5)=>([(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),(3,2),(4,1),(4,3)],5)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
([(0,4),(1,2),(2,3),(2,4)],5)=>([(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)
([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
([(0,3),(1,2),(2,4),(3,4)],5)=>([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)
([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(1,3),(1,4),(1,5),(1,6),(2,7),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,14),(8,15),(9,14),(9,16),(10,15),(10,16),(11,14),(11,17),(12,15),(12,17),(13,16),(13,17),(14,18),(15,18),(16,18),(17,2),(17,18),(18,7)],19)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,6),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,7),(4,9),(4,11),(5,7),(5,8),(5,10),(6,2),(6,3),(6,4),(6,5),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(11,15),(11,16),(12,14),(12,15),(13,17),(14,17),(15,17),(16,17),(17,1)],18)
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,2),(0,3),(1,7),(2,14),(3,4),(3,5),(3,6),(3,14),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,15),(8,16),(9,15),(9,17),(10,16),(10,17),(11,15),(11,18),(12,16),(12,18),(13,17),(13,18),(14,8),(14,9),(14,10),(15,19),(16,19),(17,19),(18,1),(18,19),(19,7)],20)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>([(0,6),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,1),(6,2),(6,3),(6,4),(7,10),(8,10),(9,10),(10,5)],11)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>([(0,1),(1,3),(1,4),(1,5),(2,11),(3,10),(3,13),(4,10),(4,12),(5,6),(5,12),(5,13),(6,8),(6,9),(8,15),(9,15),(10,2),(10,14),(11,7),(12,8),(12,14),(13,9),(13,14),(14,11),(14,15),(15,7)],16)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,6),(1,11),(1,12),(2,9),(3,8),(4,7),(4,11),(5,7),(5,12),(6,1),(6,4),(6,5),(7,13),(8,10),(9,10),(11,3),(11,13),(12,2),(12,13),(13,8),(13,9)],14)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,6),(1,10),(2,9),(3,8),(3,11),(4,7),(4,11),(5,7),(5,8),(6,3),(6,4),(6,5),(7,12),(8,12),(9,10),(11,2),(11,12),(12,1),(12,9)],13)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,6),(1,7),(2,7),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,3),(6,4),(6,5),(8,11),(9,11),(10,11),(11,1),(11,2)],12)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>([(0,6),(1,11),(1,12),(2,10),(3,7),(3,9),(4,7),(4,8),(5,1),(5,8),(5,9),(6,3),(6,4),(6,5),(7,14),(8,11),(8,14),(9,12),(9,14),(11,13),(12,13),(13,10),(14,2),(14,13)],15)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,6),(2,10),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(6,3),(6,4),(6,5),(7,11),(8,11),(9,2),(9,11),(10,1),(11,10)],12)
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>([(0,6),(1,11),(2,7),(2,8),(3,8),(3,9),(4,7),(4,9),(5,1),(5,10),(6,2),(6,3),(6,4),(7,12),(8,12),(9,5),(9,12),(10,11),(12,10)],13)
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>([(0,1),(1,2),(1,3),(1,4),(2,12),(2,13),(3,6),(3,13),(3,14),(4,5),(4,12),(4,14),(5,8),(5,10),(6,9),(6,11),(7,18),(8,16),(9,17),(10,7),(10,16),(11,7),(11,17),(12,8),(12,15),(13,9),(13,15),(14,10),(14,11),(14,15),(15,16),(15,17),(16,18),(17,18)],19)
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>([(0,1),(1,3),(1,4),(1,5),(2,8),(2,9),(3,10),(3,13),(4,10),(4,12),(5,6),(5,12),(5,13),(6,7),(6,11),(7,14),(8,15),(9,15),(10,16),(11,8),(11,14),(12,7),(12,16),(13,2),(13,11),(13,16),(14,15),(16,9),(16,14)],17)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,6),(1,9),(1,12),(2,8),(2,12),(3,7),(3,11),(4,7),(4,10),(5,8),(5,9),(6,1),(6,2),(6,5),(7,14),(8,13),(9,13),(10,14),(11,14),(12,3),(12,4),(12,13),(13,10),(13,11)],15)
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>([(0,1),(1,2),(1,3),(2,13),(3,4),(3,5),(3,6),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,14),(7,15),(8,14),(8,16),(9,15),(9,16),(10,14),(10,17),(11,15),(11,17),(12,16),(12,17),(13,7),(13,8),(13,9),(14,18),(15,18),(16,18),(17,18)],19)
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([(0,4),(0,6),(1,10),(2,8),(2,12),(3,8),(3,11),(4,7),(5,1),(5,9),(6,2),(6,3),(6,7),(7,11),(7,12),(8,5),(8,13),(9,10),(11,13),(12,13),(13,9)],14)
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9)
([(1,4),(1,5),(4,3),(5,2)],6)=>([(0,1),(0,2),(1,14),(2,3),(2,4),(2,14),(3,6),(3,13),(3,15),(4,5),(4,12),(4,15),(5,8),(5,10),(6,9),(6,11),(7,19),(8,17),(9,18),(10,7),(10,17),(11,7),(11,18),(12,8),(12,16),(13,9),(13,16),(14,12),(14,13),(15,10),(15,11),(15,16),(16,17),(16,18),(17,19),(18,19)],20)
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,1),(0,2),(1,14),(2,3),(2,5),(2,14),(3,9),(3,13),(4,8),(4,10),(5,6),(5,12),(5,13),(6,7),(6,11),(7,15),(8,16),(9,17),(10,16),(11,10),(11,15),(12,7),(12,17),(13,4),(13,11),(13,17),(14,9),(14,12),(15,16),(17,8),(17,15)],18)
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(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)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,6),(1,9),(2,9),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8),(9,4),(9,5)],10)
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,5),(3,6),(3,13),(4,12),(5,9),(5,11),(6,9),(6,10),(7,15),(8,15),(9,14),(10,7),(10,14),(11,8),(11,14),(12,7),(12,8),(13,10),(13,11),(13,12),(14,15)],16)
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>([(0,6),(1,12),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(5,3),(5,4),(5,12),(6,1),(6,5),(7,14),(8,10),(8,14),(9,11),(9,14),(10,13),(11,13),(12,2),(12,8),(12,9),(14,13)],15)
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>([(0,6),(1,11),(2,8),(2,10),(3,8),(3,9),(4,7),(5,4),(5,11),(6,1),(6,5),(7,9),(7,10),(8,12),(9,12),(10,12),(11,2),(11,3),(11,7)],13)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,6),(1,10),(2,10),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(6,1),(6,2),(7,11),(8,11),(9,11),(10,3),(10,4),(10,5)],12)
([(1,5),(5,2),(5,3),(5,4)],6)=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,14),(2,13),(3,1),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,15),(7,16),(8,15),(8,17),(9,16),(9,17),(10,15),(10,18),(11,16),(11,18),(12,17),(12,18),(13,14),(14,7),(14,8),(14,9),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>([(0,5),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,6),(6,1),(6,2),(6,3),(6,4),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(11,15),(11,16),(12,14),(12,15),(13,17),(14,17),(15,17),(16,17)],18)
([(2,3),(3,5),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,8),(2,9),(3,2),(3,14),(3,15),(4,7),(4,11),(5,7),(5,10),(6,1),(6,10),(6,11),(7,16),(8,17),(9,17),(10,12),(10,16),(11,13),(11,16),(12,14),(12,18),(13,15),(13,18),(14,8),(14,19),(15,9),(15,19),(16,18),(18,19),(19,17)],20)
([(1,4),(4,5),(5,2),(5,3)],6)=>([(0,3),(0,5),(1,7),(1,10),(2,7),(2,9),(3,8),(4,6),(4,11),(5,4),(5,8),(6,1),(6,2),(6,12),(7,13),(8,11),(9,13),(10,13),(11,12),(12,9),(12,10)],14)
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>([(0,5),(1,8),(1,9),(2,7),(2,9),(3,7),(3,8),(4,6),(5,4),(6,1),(6,2),(6,3),(7,10),(8,10),(9,10)],11)
([(1,5),(2,5),(5,3),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,13),(2,7),(2,9),(3,7),(3,8),(4,11),(4,12),(5,10),(5,12),(6,10),(6,11),(7,14),(8,14),(9,14),(10,15),(11,15),(12,1),(12,15),(13,8),(13,9),(15,13)],16)
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,8),(3,9),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6),(8,11),(9,11),(10,11)],12)
([(1,5),(2,5),(3,5),(5,4)],6)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,1),(2,14),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,15),(8,16),(9,15),(9,17),(10,16),(10,17),(11,15),(11,18),(12,16),(12,18),(13,17),(13,18),(14,7),(15,19),(16,19),(17,19),(18,2),(18,19),(19,14)],20)
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>([(0,3),(0,4),(0,5),(1,7),(2,7),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,1),(6,2),(8,11),(9,11),(10,11),(11,6)],12)
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>([(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,7),(4,9),(4,11),(5,7),(5,8),(5,10),(6,1),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(11,15),(11,16),(12,14),(12,15),(13,17),(14,17),(15,17),(16,17),(17,6)],18)
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>([(0,2),(0,3),(0,4),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,1),(6,5),(7,10),(8,10),(9,10),(10,6)],11)
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>([(0,3),(0,4),(0,5),(0,6),(2,7),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(7,1),(8,14),(8,15),(9,14),(9,16),(10,15),(10,16),(11,14),(11,17),(12,15),(12,17),(13,16),(13,17),(14,18),(15,18),(16,18),(17,2),(17,18),(18,7)],19)
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>([(0,4),(0,5),(0,6),(1,13),(2,3),(2,14),(3,12),(4,8),(4,9),(5,8),(5,10),(6,9),(6,10),(8,15),(9,1),(9,15),(10,2),(10,15),(11,7),(12,7),(13,11),(14,11),(14,12),(15,13),(15,14)],16)
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(4,11),(5,7),(5,10),(6,7),(6,11),(7,13),(8,12),(9,12),(10,3),(10,13),(11,2),(11,13),(12,1),(13,8),(13,9)],14)
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>([(0,4),(0,5),(0,6),(1,3),(1,13),(2,12),(3,11),(4,8),(4,9),(5,9),(5,10),(6,8),(6,10),(8,14),(9,14),(10,1),(10,14),(11,7),(12,7),(13,11),(13,12),(14,2),(14,13)],15)
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,4),(0,5),(0,6),(2,11),(3,9),(4,8),(4,10),(5,7),(5,10),(6,7),(6,8),(7,12),(8,12),(9,11),(10,3),(10,12),(11,1),(12,2),(12,9)],13)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,3),(0,4),(0,5),(1,11),(2,7),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,1),(6,7),(7,11),(8,12),(9,12),(10,12),(12,2),(12,6)],13)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,4),(0,5),(0,6),(2,10),(3,10),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,11),(8,11),(9,11),(10,1),(11,2),(11,3)],12)
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,3),(0,4),(0,5),(1,10),(2,9),(3,8),(3,12),(4,7),(4,12),(5,7),(5,8),(6,1),(6,11),(7,13),(8,13),(9,11),(11,10),(12,2),(12,13),(13,6),(13,9)],14)
([(1,5),(2,5),(3,4),(5,3)],6)=>([(0,2),(0,3),(0,4),(1,11),(2,7),(2,8),(3,8),(3,9),(4,7),(4,9),(5,1),(5,12),(6,5),(6,10),(7,13),(8,13),(9,6),(9,13),(10,12),(12,11),(13,10)],14)
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>([(0,3),(0,4),(0,5),(2,9),(3,8),(3,10),(4,7),(4,10),(5,7),(5,8),(6,1),(7,11),(8,11),(9,6),(10,2),(10,11),(11,9)],12)
([(0,5),(1,5),(2,3),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,2),(1,15),(2,11),(3,7),(3,8),(4,10),(4,14),(5,10),(5,13),(6,3),(6,13),(6,14),(7,17),(8,17),(10,1),(10,16),(11,9),(12,9),(13,7),(13,16),(14,8),(14,16),(15,11),(15,12),(16,15),(16,17),(17,12)],18)
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>([(0,3),(0,4),(1,9),(2,8),(3,7),(4,7),(5,1),(5,8),(6,2),(6,5),(7,6),(8,9)],10)
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>([(0,3),(0,4),(0,5),(1,11),(2,7),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(6,12),(7,11),(8,13),(9,13),(10,6),(10,13),(12,1),(12,7),(13,12)],14)
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,1),(2,11),(3,7),(3,8),(4,10),(4,13),(5,10),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(10,14),(11,9),(12,7),(12,14),(13,8),(13,14),(14,2),(14,15),(15,11)],16)
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,4),(0,5),(0,6),(1,13),(2,7),(2,8),(3,2),(3,11),(3,12),(4,10),(4,15),(5,10),(5,14),(6,3),(6,14),(6,15),(7,16),(8,16),(10,17),(11,7),(11,18),(12,8),(12,18),(13,9),(14,11),(14,17),(15,12),(15,17),(16,9),(17,1),(17,18),(18,13),(18,16)],19)
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,12),(3,10),(3,11),(4,7),(4,9),(5,7),(5,8),(6,3),(6,8),(6,9),(7,14),(8,10),(8,14),(9,11),(9,14),(10,13),(11,13),(12,2),(13,12),(14,1),(14,13)],15)
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9)
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,12),(3,7),(3,8),(4,10),(4,14),(5,10),(5,13),(6,3),(6,13),(6,14),(7,16),(8,16),(10,2),(10,15),(11,9),(12,1),(12,11),(13,7),(13,15),(14,8),(14,15),(15,12),(15,16),(16,11)],17)
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,11),(2,7),(3,7),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(8,12),(9,12),(10,1),(10,12),(11,2),(11,3),(12,11)],13)
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>([(0,2),(0,3),(1,8),(2,13),(3,5),(3,6),(3,13),(4,7),(4,9),(5,10),(5,12),(6,4),(6,11),(6,12),(7,15),(9,1),(9,15),(10,14),(11,9),(11,14),(12,7),(12,14),(13,10),(13,11),(14,15),(15,8)],16)
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>([(0,6),(1,10),(1,11),(2,9),(2,11),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,9),(7,10),(9,12),(10,12),(11,4),(11,12),(12,8)],13)
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>([(0,6),(2,9),(3,8),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5),(7,8),(7,9),(8,10),(9,10),(10,1)],11)
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,4),(0,6),(2,7),(2,11),(3,9),(3,10),(4,8),(5,3),(5,7),(5,12),(6,2),(6,5),(6,8),(7,10),(7,13),(8,11),(8,12),(9,14),(10,14),(11,13),(12,9),(12,13),(13,14),(14,1)],15)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>([(0,6),(2,7),(3,8),(3,10),(4,8),(4,9),(5,3),(5,4),(5,7),(6,2),(6,5),(7,9),(7,10),(8,11),(9,11),(10,11),(11,1)],12)
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>([(0,3),(0,4),(0,6),(1,10),(1,11),(3,8),(3,9),(4,7),(4,9),(5,2),(6,1),(6,7),(6,8),(7,10),(7,13),(8,11),(8,13),(9,13),(10,12),(11,12),(12,5),(13,12)],14)
([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,4),(0,5),(0,6),(1,14),(2,7),(2,8),(3,2),(3,11),(3,12),(4,10),(4,16),(5,10),(5,15),(6,3),(6,15),(6,16),(7,17),(8,17),(10,1),(10,18),(11,7),(11,19),(12,8),(12,19),(13,9),(14,13),(15,11),(15,18),(16,12),(16,18),(17,9),(18,14),(18,19),(19,13),(19,17)],20)
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(2,11),(3,7),(3,8),(4,10),(4,13),(5,10),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(9,1),(10,2),(10,14),(11,9),(12,7),(12,14),(13,8),(13,14),(14,11),(14,15),(15,9)],16)
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>([(0,4),(0,5),(1,9),(2,8),(2,11),(3,8),(3,12),(4,7),(5,6),(5,7),(6,2),(6,3),(6,10),(7,10),(8,13),(10,11),(10,12),(11,13),(12,1),(12,13),(13,9)],14)
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([(0,5),(1,9),(2,8),(2,10),(3,7),(3,10),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4),(7,11),(8,11),(10,1),(10,11),(11,9)],12)
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,11),(3,12),(4,10),(4,14),(5,10),(5,13),(6,3),(6,13),(6,14),(7,17),(8,17),(10,15),(11,7),(11,16),(12,8),(12,16),(13,11),(13,15),(14,12),(14,15),(15,16),(16,1),(16,17),(17,9)],18)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,4),(0,5),(0,6),(2,7),(2,8),(3,2),(3,10),(3,11),(4,9),(4,13),(5,9),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(9,14),(10,7),(10,16),(11,8),(11,16),(12,10),(12,14),(13,11),(13,14),(14,16),(15,1),(16,15)],17)
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(0,4),(0,5),(2,7),(2,10),(3,7),(3,9),(4,8),(5,6),(5,8),(6,2),(6,3),(6,11),(7,12),(8,11),(9,12),(10,12),(11,9),(11,10),(12,1)],13)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([(0,5),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4),(7,10),(8,10),(9,10),(10,1)],11)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,14),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,15),(8,16),(9,15),(9,17),(10,16),(10,17),(11,15),(11,18),(12,16),(12,18),(13,17),(13,18),(14,7),(15,19),(16,19),(17,19),(18,2),(18,19),(19,1),(19,14)],20)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(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),(1,4),(2,4),(3,5),(4,3)],6)=>([(0,3),(0,4),(0,5),(2,11),(3,7),(3,8),(4,8),(4,9),(5,7),(5,9),(6,2),(6,10),(7,12),(8,12),(9,6),(9,12),(10,11),(11,1),(12,10)],13)
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9)
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>([(0,3),(0,4),(1,13),(2,5),(2,6),(2,14),(3,12),(4,2),(4,12),(5,9),(5,11),(6,9),(6,10),(7,16),(8,16),(9,15),(10,7),(10,15),(11,8),(11,15),(12,1),(12,14),(13,7),(13,8),(14,10),(14,11),(14,13),(15,16)],17)
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,3),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,1),(11,7),(12,2),(12,9)],13)
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>([(0,5),(0,6),(1,10),(2,7),(3,7),(4,8),(5,9),(6,4),(6,9),(8,10),(9,1),(9,8),(10,2),(10,3)],11)
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,8),(2,10),(3,7),(3,12),(4,11),(4,13),(5,11),(5,14),(6,3),(6,13),(6,14),(7,15),(8,1),(8,16),(10,16),(11,17),(12,8),(12,15),(13,7),(13,17),(14,2),(14,12),(14,17),(15,16),(16,9),(17,10),(17,15)],18)
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10)
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14)
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12)
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,4),(0,5),(0,6),(1,12),(1,14),(2,3),(2,13),(2,14),(3,7),(3,10),(4,8),(4,9),(5,9),(5,11),(6,8),(6,11),(7,16),(8,17),(9,17),(10,16),(11,1),(11,2),(11,17),(12,15),(13,10),(13,15),(14,7),(14,15),(15,16),(17,12),(17,13)],18)
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>([(0,4),(0,5),(1,7),(2,8),(2,10),(3,8),(3,9),(4,11),(5,11),(6,2),(6,3),(6,7),(7,9),(7,10),(8,12),(9,12),(10,12),(11,1),(11,6)],13)
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,10),(2,8),(2,9),(3,7),(3,9),(4,12),(4,13),(5,11),(5,13),(6,11),(6,12),(7,14),(8,14),(9,1),(9,14),(11,15),(12,15),(13,2),(13,3),(13,15),(14,10),(15,7),(15,8)],16)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>([(0,3),(0,4),(1,10),(2,9),(3,7),(4,7),(5,2),(5,8),(6,1),(6,8),(7,5),(7,6),(8,9),(8,10),(9,11),(10,11)],12)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>([(0,4),(0,5),(1,8),(2,10),(3,7),(4,9),(5,9),(6,3),(6,10),(7,8),(9,2),(9,6),(10,1),(10,7)],11)
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10)
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>([(0,3),(0,4),(1,7),(2,8),(3,10),(4,10),(5,6),(5,7),(6,2),(6,9),(7,9),(9,8),(10,1),(10,5)],11)
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,4),(0,5),(1,8),(3,7),(4,9),(5,9),(6,1),(6,7),(7,8),(8,2),(9,3),(9,6)],10)
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,10),(2,7),(2,8),(3,7),(3,9),(4,12),(4,13),(5,11),(5,13),(6,11),(6,12),(7,14),(8,14),(9,1),(9,14),(11,15),(12,15),(13,2),(13,3),(13,15),(14,10),(15,8),(15,9)],16)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(2,7),(2,11),(3,7),(3,10),(4,9),(4,12),(5,8),(5,12),(6,8),(6,9),(7,14),(8,13),(9,13),(10,14),(11,14),(12,2),(12,3),(12,13),(13,10),(13,11),(14,1)],15)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(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),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,4),(0,5),(0,6),(1,10),(2,12),(3,7),(4,9),(4,11),(5,8),(5,11),(6,8),(6,9),(7,10),(8,13),(9,13),(11,2),(11,13),(12,1),(12,7),(13,3),(13,12)],14)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,8),(1,9),(2,11),(2,12),(3,10),(3,12),(4,7),(4,14),(5,7),(5,13),(6,1),(6,13),(6,14),(7,16),(8,17),(9,17),(10,15),(11,15),(12,15),(13,8),(13,16),(14,9),(14,16),(16,2),(16,3),(16,17),(17,10),(17,11)],18)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,11),(3,7),(3,8),(4,10),(4,13),(5,10),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(10,14),(11,9),(12,7),(12,14),(13,8),(13,14),(14,2),(14,15),(15,1),(15,11)],16)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,12),(2,9),(3,7),(3,8),(4,10),(4,14),(5,10),(5,13),(6,3),(6,13),(6,14),(7,16),(8,16),(10,1),(10,15),(11,9),(12,11),(13,7),(13,15),(14,8),(14,15),(15,12),(15,16),(16,2),(16,11)],17)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,11),(1,12),(2,7),(3,7),(4,8),(4,10),(5,8),(5,9),(6,1),(6,9),(6,10),(8,13),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14),(14,2),(14,3)],15)
([(1,5),(2,3),(2,5),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,10),(1,13),(2,3),(2,14),(2,15),(3,8),(3,9),(4,7),(4,12),(5,7),(5,11),(6,1),(6,11),(6,12),(7,19),(8,17),(9,17),(10,16),(11,10),(11,19),(12,2),(12,13),(12,19),(13,14),(13,16),(14,8),(14,18),(15,9),(15,18),(16,18),(18,17),(19,15),(19,16)],20)
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>([(0,4),(0,5),(1,7),(1,10),(2,7),(2,9),(3,11),(4,8),(5,3),(5,8),(6,1),(6,2),(6,12),(7,13),(8,6),(8,11),(9,13),(10,13),(11,12),(12,9),(12,10)],14)
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>([(0,1),(0,2),(1,14),(2,3),(2,4),(2,14),(3,11),(3,13),(4,6),(4,13),(4,15),(5,9),(5,12),(6,8),(6,10),(7,19),(8,17),(9,18),(10,7),(10,17),(11,9),(11,16),(12,7),(12,18),(13,8),(13,16),(14,5),(14,11),(14,15),(15,10),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19)],20)
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,2),(0,3),(1,7),(2,13),(3,5),(3,6),(3,13),(4,8),(4,9),(5,10),(5,11),(6,10),(6,12),(8,15),(9,1),(9,15),(10,14),(11,8),(11,14),(12,9),(12,14),(13,4),(13,11),(13,12),(14,15),(15,7)],16)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,2),(0,3),(1,13),(2,14),(3,5),(3,6),(3,14),(4,8),(4,9),(5,10),(5,12),(6,10),(6,11),(8,16),(9,16),(10,1),(10,15),(11,8),(11,15),(12,9),(12,15),(13,7),(14,4),(14,11),(14,12),(15,13),(15,16),(16,7)],17)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(0,6),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(5,12),(6,3),(6,4),(6,12),(7,13),(8,10),(8,13),(9,11),(9,13),(10,14),(11,14),(12,2),(12,8),(12,9),(13,14),(14,1)],15)
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>([(0,1),(0,2),(1,14),(2,3),(2,4),(2,14),(3,9),(3,11),(4,9),(4,10),(5,6),(5,12),(5,13),(6,7),(6,8),(7,16),(8,16),(9,15),(10,12),(10,15),(11,13),(11,15),(12,7),(12,17),(13,8),(13,17),(14,5),(14,10),(14,11),(15,17),(17,16)],18)
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>([(0,1),(1,2),(1,3),(1,4),(2,9),(2,13),(3,9),(3,12),(4,5),(4,12),(4,13),(5,6),(5,10),(5,11),(6,7),(6,8),(7,15),(8,15),(9,14),(10,7),(10,16),(11,8),(11,16),(12,10),(12,14),(13,11),(13,14),(14,16),(16,15)],17)
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>([(0,6),(1,11),(1,12),(2,10),(3,7),(3,8),(4,7),(4,9),(5,1),(5,8),(5,9),(6,3),(6,4),(6,5),(7,14),(8,11),(8,14),(9,12),(9,14),(11,13),(12,2),(12,13),(13,10),(14,13)],15)
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,2),(0,3),(1,7),(2,14),(3,4),(3,5),(3,6),(3,14),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,15),(8,16),(9,15),(9,18),(10,16),(10,18),(11,15),(11,17),(12,16),(12,17),(13,17),(13,18),(14,8),(14,9),(14,10),(15,19),(16,19),(17,19),(18,1),(18,19),(19,7)],20)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>([(0,6),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(5,2),(5,8),(5,9),(6,3),(6,4),(6,5),(7,12),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13),(13,1)],14)
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,2),(0,3),(2,13),(3,4),(3,5),(3,6),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,14),(7,15),(8,14),(8,16),(9,15),(9,16),(10,14),(10,17),(11,15),(11,17),(12,16),(12,17),(13,7),(13,8),(13,9),(14,18),(15,18),(16,18),(17,18),(18,1)],19)
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>([(0,2),(0,3),(1,14),(2,1),(2,15),(3,5),(3,6),(3,15),(4,8),(4,9),(5,7),(5,11),(6,7),(6,10),(7,16),(8,17),(9,17),(10,12),(10,16),(11,13),(11,16),(12,8),(12,18),(13,9),(13,18),(14,4),(14,12),(14,13),(15,10),(15,11),(15,14),(16,18),(18,17)],19)
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(1,11),(2,10),(3,1),(3,12),(4,2),(4,12),(5,8),(5,9),(6,7),(6,9),(7,14),(8,14),(9,14),(10,13),(11,5),(11,6),(11,13),(12,10),(12,11),(13,7),(13,8)],15)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(0,6),(1,11),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,7),(6,1),(6,7),(7,11),(8,12),(9,12),(10,12),(11,2),(11,3),(11,4)],13)
([(1,3),(1,5),(4,2),(5,4)],6)=>([(0,1),(0,2),(1,14),(2,3),(2,4),(2,14),(3,9),(3,13),(4,5),(4,12),(4,13),(5,6),(5,10),(5,11),(6,7),(6,8),(7,16),(8,16),(9,15),(10,7),(10,17),(11,8),(11,17),(12,11),(12,15),(13,10),(13,15),(14,9),(14,12),(15,17),(17,16)],18)
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>([(0,6),(1,8),(2,7),(2,10),(3,7),(3,9),(4,5),(4,8),(5,2),(5,3),(5,11),(6,1),(6,4),(7,12),(8,11),(9,12),(10,12),(11,9),(11,10)],13)
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>([(0,6),(1,11),(2,8),(3,9),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,9),(7,11),(9,10),(10,8),(11,2),(11,10)],12)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>([(0,6),(1,8),(2,9),(3,10),(4,7),(5,3),(5,9),(6,2),(6,5),(7,8),(9,4),(9,10),(10,1),(10,7)],11)
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>([(0,4),(0,6),(1,10),(2,8),(2,12),(3,8),(3,11),(4,7),(5,1),(5,9),(6,2),(6,3),(6,7),(7,11),(7,12),(8,13),(9,10),(11,13),(12,5),(12,13),(13,9)],14)
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,2),(0,3),(1,8),(2,13),(3,5),(3,6),(3,13),(4,7),(4,9),(5,10),(5,12),(6,4),(6,11),(6,12),(7,1),(7,15),(9,15),(10,14),(11,9),(11,14),(12,7),(12,14),(13,10),(13,11),(14,15),(15,8)],16)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([(0,4),(0,6),(2,8),(2,10),(3,8),(3,9),(4,7),(5,1),(6,2),(6,3),(6,7),(7,9),(7,10),(8,11),(9,11),(10,11),(11,5)],12)
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>([(0,2),(0,3),(1,13),(2,14),(3,5),(3,6),(3,14),(4,7),(4,9),(5,10),(5,12),(6,4),(6,11),(6,12),(7,16),(9,16),(10,1),(10,15),(11,9),(11,15),(12,7),(12,15),(13,8),(14,10),(14,11),(15,13),(15,16),(16,8)],17)
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(1,11),(2,12),(3,13),(4,5),(4,6),(4,13),(5,8),(5,10),(6,9),(6,10),(8,14),(9,2),(9,14),(10,1),(10,14),(11,7),(12,7),(13,8),(13,9),(14,11),(14,12)],15)
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,7),(2,11),(2,12),(3,10),(3,12),(4,9),(5,8),(6,2),(6,3),(6,8),(7,9),(8,10),(8,11),(10,13),(11,13),(12,1),(12,13),(13,4),(13,7)],14)
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>([(0,5),(0,6),(1,10),(3,8),(3,11),(4,8),(4,9),(5,7),(6,3),(6,4),(6,7),(7,9),(7,11),(8,12),(9,12),(10,2),(11,1),(11,12),(12,10)],13)
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>([(0,6),(1,7),(2,9),(3,8),(3,10),(4,8),(4,11),(5,3),(5,4),(5,7),(6,1),(6,5),(7,10),(7,11),(8,12),(10,12),(11,2),(11,12),(12,9)],13)
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,2),(0,3),(1,8),(2,13),(3,5),(3,6),(3,13),(4,7),(4,9),(5,10),(5,12),(6,4),(6,11),(6,12),(7,15),(9,15),(10,14),(11,9),(11,14),(12,7),(12,14),(13,10),(13,11),(14,1),(14,15),(15,8)],16)
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>([(0,6),(1,8),(2,7),(2,11),(3,9),(3,10),(4,3),(4,7),(4,12),(5,2),(5,4),(5,8),(6,1),(6,5),(7,10),(7,13),(8,11),(8,12),(9,14),(10,14),(11,13),(12,9),(12,13),(13,14)],15)
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>([(0,1),(0,2),(1,14),(2,3),(2,5),(2,14),(3,9),(3,13),(4,8),(4,10),(5,6),(5,12),(5,13),(6,7),(6,11),(7,15),(8,16),(9,17),(10,16),(11,10),(11,15),(12,4),(12,11),(12,17),(13,7),(13,17),(14,9),(14,12),(15,16),(17,8),(17,15)],18)
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>([(0,3),(0,4),(1,10),(2,13),(3,5),(3,6),(3,14),(4,2),(4,14),(5,8),(5,11),(6,8),(6,12),(7,16),(8,15),(9,1),(9,16),(11,7),(11,15),(12,9),(12,15),(13,7),(13,9),(14,11),(14,12),(14,13),(15,16),(16,10)],17)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10)
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,3),(0,4),(1,13),(2,14),(3,5),(3,6),(3,15),(4,2),(4,15),(5,10),(5,12),(6,10),(6,11),(8,17),(9,17),(10,1),(10,16),(11,8),(11,16),(12,9),(12,16),(13,7),(14,8),(14,9),(15,11),(15,12),(15,14),(16,13),(16,17),(17,7)],18)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,3),(0,4),(2,12),(3,2),(3,13),(4,5),(4,6),(4,13),(5,9),(5,11),(6,9),(6,10),(7,15),(8,15),(9,14),(10,7),(10,14),(11,8),(11,14),(12,7),(12,8),(13,10),(13,11),(13,12),(14,15),(15,1)],16)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([(0,5),(0,6),(2,11),(3,9),(3,10),(4,8),(4,10),(5,7),(6,3),(6,4),(6,7),(7,8),(7,9),(8,12),(9,12),(10,2),(10,12),(11,1),(12,11)],13)
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,2),(0,3),(1,13),(2,12),(3,1),(3,12),(4,9),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(7,15),(8,15),(9,14),(10,8),(10,14),(11,7),(11,14),(12,4),(12,5),(12,13),(13,9),(13,10),(14,15)],16)
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>([(0,5),(0,6),(1,10),(1,11),(2,9),(2,11),(3,8),(4,7),(5,12),(6,4),(6,12),(7,9),(7,10),(9,13),(10,13),(11,3),(11,13),(12,1),(12,2),(12,7),(13,8)],14)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,4),(0,5),(1,10),(1,11),(2,7),(2,9),(3,7),(3,8),(4,12),(5,12),(6,1),(6,8),(6,9),(7,14),(8,10),(8,14),(9,11),(9,14),(10,13),(11,13),(12,2),(12,3),(12,6),(14,13)],15)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>([(0,5),(0,6),(1,8),(1,10),(2,7),(2,10),(3,9),(4,7),(4,8),(5,11),(6,11),(7,12),(8,12),(10,3),(10,12),(11,1),(11,2),(11,4),(12,9)],13)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(0,6),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,10),(6,10),(7,11),(8,11),(9,11),(10,2),(10,3),(10,4),(11,1)],12)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>([(0,3),(0,4),(1,2),(1,14),(2,13),(3,10),(4,1),(4,10),(5,9),(5,12),(6,9),(6,11),(7,16),(8,16),(9,15),(10,5),(10,6),(10,14),(11,7),(11,15),(12,8),(12,15),(13,7),(13,8),(14,11),(14,12),(14,13),(15,16)],17)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>([(0,5),(0,6),(1,8),(1,10),(2,8),(2,11),(3,9),(4,7),(5,12),(6,4),(6,12),(7,10),(7,11),(8,13),(10,13),(11,3),(11,13),(12,1),(12,2),(12,7),(13,9)],14)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(0,6),(2,8),(2,10),(3,8),(3,9),(4,7),(5,11),(6,4),(6,11),(7,9),(7,10),(8,12),(9,12),(10,12),(11,2),(11,3),(11,7),(12,1)],13)
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>([(0,3),(0,4),(1,14),(2,13),(3,2),(3,12),(4,1),(4,12),(5,6),(5,10),(5,11),(6,7),(6,8),(7,16),(8,16),(9,15),(10,7),(10,15),(11,8),(11,15),(12,5),(12,13),(12,14),(13,9),(13,10),(14,9),(14,11),(15,16)],17)
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,8),(1,9),(2,10),(2,15),(3,11),(3,14),(4,7),(4,13),(5,7),(5,12),(6,2),(6,12),(6,13),(7,18),(8,17),(9,17),(10,19),(11,16),(12,10),(12,18),(13,3),(13,15),(13,18),(14,9),(14,16),(15,1),(15,14),(15,19),(16,17),(18,11),(18,19),(19,8),(19,16)],20)
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>([(0,4),(0,6),(1,12),(2,9),(3,10),(4,7),(5,3),(5,8),(6,1),(6,7),(7,5),(7,12),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13)
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>([(0,4),(0,6),(1,7),(2,9),(3,8),(4,11),(5,3),(5,10),(6,1),(6,11),(7,5),(7,9),(9,10),(10,8),(11,2),(11,7)],12)
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>([(0,5),(0,6),(1,10),(3,7),(4,8),(5,9),(6,1),(6,9),(7,8),(8,2),(9,3),(9,10),(10,4),(10,7)],11)
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>([(0,4),(0,5),(1,14),(2,3),(2,15),(3,12),(4,1),(4,13),(5,2),(5,13),(6,9),(6,11),(7,17),(8,17),(9,16),(10,8),(10,16),(11,7),(11,16),(12,7),(12,8),(13,6),(13,14),(13,15),(14,9),(14,10),(15,10),(15,11),(15,12),(16,17)],18)
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,10),(2,12),(3,13),(4,2),(4,11),(5,3),(5,11),(6,8),(6,9),(7,14),(8,14),(9,1),(9,14),(11,6),(11,12),(11,13),(12,7),(12,8),(13,7),(13,9),(14,10)],15)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>([(0,4),(0,5),(1,3),(1,13),(2,12),(3,11),(4,10),(5,1),(5,10),(6,8),(6,9),(7,14),(8,14),(9,14),(10,2),(10,13),(11,7),(11,8),(12,7),(12,9),(13,6),(13,11),(13,12)],15)
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>([(0,5),(0,6),(1,11),(2,8),(3,7),(4,10),(5,9),(6,1),(6,9),(8,7),(9,4),(9,11),(10,3),(10,8),(11,2),(11,10)],12)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>([(0,4),(0,5),(1,10),(2,13),(3,12),(4,3),(4,11),(5,2),(5,11),(6,7),(6,8),(7,14),(8,14),(9,1),(9,14),(11,6),(11,12),(11,13),(12,7),(12,9),(13,8),(13,9),(14,10)],15)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(0,6),(1,9),(1,10),(3,8),(4,7),(5,4),(5,12),(6,3),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8),(13,2)],14)
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,1),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,3),(11,7),(12,2),(12,9)],13)
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>([(0,1),(0,2),(1,14),(2,4),(2,6),(2,14),(3,7),(3,8),(4,10),(4,13),(5,9),(5,12),(6,10),(6,11),(7,16),(8,16),(9,15),(10,17),(11,9),(11,17),(12,7),(12,15),(13,3),(13,12),(13,17),(14,5),(14,11),(14,13),(15,16),(17,8),(17,15)],18)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,2),(0,3),(1,7),(2,13),(3,5),(3,6),(3,13),(4,8),(4,9),(5,10),(5,12),(6,10),(6,11),(8,15),(9,15),(10,14),(11,8),(11,14),(12,9),(12,14),(13,4),(13,11),(13,12),(14,1),(14,15),(15,7)],16)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,2),(0,3),(1,14),(2,13),(3,1),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,15),(7,16),(8,15),(8,17),(9,16),(9,17),(10,15),(10,18),(11,16),(11,18),(12,17),(12,18),(13,4),(13,5),(13,6),(13,14),(14,7),(14,8),(14,9),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,1),(0,2),(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),(7,3),(7,4),(7,5),(7,6),(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)],19)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>([(0,2),(0,3),(1,13),(2,12),(3,1),(3,12),(4,7),(4,8),(5,9),(5,11),(6,9),(6,10),(7,15),(8,15),(9,14),(10,7),(10,14),(11,8),(11,14),(12,5),(12,6),(12,13),(13,4),(13,10),(13,11),(14,15)],16)
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>([(0,3),(0,4),(1,14),(2,13),(3,1),(3,12),(4,2),(4,12),(5,7),(5,8),(6,9),(6,11),(7,16),(8,16),(9,15),(10,8),(10,15),(11,7),(11,15),(12,6),(12,13),(12,14),(13,9),(13,10),(14,5),(14,10),(14,11),(15,16)],17)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>([(0,5),(0,6),(1,12),(2,8),(2,10),(3,8),(3,9),(4,7),(5,11),(6,1),(6,11),(7,9),(7,10),(8,13),(9,13),(10,13),(11,4),(11,12),(12,2),(12,3),(12,7)],14)
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>([(0,2),(0,3),(1,14),(2,1),(2,15),(3,5),(3,6),(3,15),(4,7),(4,8),(5,9),(5,11),(6,9),(6,12),(7,17),(8,17),(9,18),(10,16),(11,10),(11,18),(12,4),(12,13),(12,18),(13,7),(13,16),(14,10),(14,13),(15,11),(15,12),(15,14),(16,17),(18,8),(18,16)],19)
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,13),(2,5),(2,6),(2,13),(3,9),(3,12),(4,8),(4,12),(5,7),(5,11),(6,10),(6,11),(7,15),(8,14),(9,14),(10,3),(10,4),(10,15),(11,15),(12,14),(13,7),(13,10),(15,8),(15,9)],16)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,6),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,4),(6,5),(8,9),(9,2),(9,3)],10)
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>([(0,6),(1,9),(2,7),(3,8),(4,3),(4,10),(5,4),(5,7),(6,2),(6,5),(7,10),(8,9),(10,1),(10,8)],11)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,3),(0,4),(1,13),(2,10),(3,5),(3,6),(3,14),(4,1),(4,14),(5,9),(5,12),(6,9),(6,11),(7,16),(8,16),(9,15),(11,7),(11,15),(12,8),(12,15),(13,7),(13,8),(14,11),(14,12),(14,13),(15,2),(15,16),(16,10)],17)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([(0,3),(0,4),(1,12),(2,11),(3,13),(4,5),(4,6),(4,13),(5,8),(5,9),(6,8),(6,10),(8,14),(9,2),(9,14),(10,1),(10,14),(11,7),(12,7),(13,9),(13,10),(14,11),(14,12)],15)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,10),(2,9),(3,8),(3,11),(4,8),(4,12),(5,7),(6,3),(6,4),(6,7),(7,11),(7,12),(8,13),(9,10),(11,13),(12,2),(12,13),(13,1),(13,9)],14)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>([(0,5),(0,6),(1,9),(2,8),(3,10),(4,11),(5,3),(5,13),(6,4),(6,13),(8,7),(9,7),(10,2),(10,12),(11,1),(11,12),(12,8),(12,9),(13,10),(13,11)],14)
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>([(0,5),(0,6),(1,8),(2,9),(3,10),(4,1),(4,11),(5,2),(5,7),(6,3),(6,7),(7,9),(7,10),(9,12),(10,4),(10,12),(11,8),(12,11)],13)
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,8),(1,11),(2,10),(2,12),(3,9),(3,12),(4,7),(4,13),(5,7),(5,14),(6,1),(6,13),(6,14),(7,16),(8,17),(9,15),(10,15),(11,2),(11,3),(11,17),(12,15),(13,8),(13,16),(14,11),(14,16),(16,17),(17,9),(17,10)],18)
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>([(0,4),(0,6),(1,10),(2,9),(3,8),(4,7),(5,2),(5,8),(6,1),(6,7),(7,10),(8,9),(10,3),(10,5)],11)
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,5),(0,6),(1,8),(2,8),(4,9),(5,7),(6,4),(6,7),(7,9),(8,3),(9,1),(9,2)],10)
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>([(0,5),(0,6),(1,10),(2,11),(3,4),(3,14),(4,8),(5,2),(5,13),(6,3),(6,13),(8,9),(9,7),(10,7),(11,1),(11,12),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>([(0,5),(0,6),(2,11),(3,10),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,11),(9,8),(10,2),(10,8),(11,1)],12)
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,9),(2,10),(3,12),(4,7),(5,2),(5,8),(6,3),(6,8),(7,9),(8,10),(8,12),(10,11),(11,1),(11,7),(12,4),(12,11)],13)
([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,3),(0,4),(1,2),(1,16),(2,14),(3,5),(3,6),(3,15),(4,1),(4,15),(5,7),(5,11),(6,7),(6,10),(7,17),(8,18),(9,18),(10,12),(10,17),(11,13),(11,17),(12,8),(12,19),(13,9),(13,19),(14,8),(14,9),(15,10),(15,11),(15,16),(16,12),(16,13),(16,14),(17,19),(19,18)],20)
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>([(0,4),(1,8),(1,10),(2,8),(2,9),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>([(0,4),(0,5),(1,3),(1,14),(2,10),(3,12),(4,1),(4,11),(5,2),(5,11),(6,8),(6,9),(7,15),(8,15),(9,15),(10,13),(11,10),(11,14),(12,7),(12,8),(13,7),(13,9),(14,6),(14,12),(14,13)],16)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,6),(1,9),(1,11),(2,9),(2,10),(3,8),(4,7),(5,3),(5,12),(6,5),(6,7),(7,12),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,2),(12,8)],14)
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>([(0,4),(0,6),(1,9),(2,10),(3,8),(4,7),(5,2),(5,11),(6,5),(6,7),(7,11),(8,9),(10,1),(10,8),(11,3),(11,10)],12)
([(1,5),(2,3),(3,5),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,2),(1,11),(2,7),(3,8),(3,9),(4,10),(4,12),(5,10),(5,13),(6,3),(6,12),(6,13),(8,15),(9,1),(9,15),(10,14),(11,7),(12,8),(12,14),(13,9),(13,14),(14,15),(15,11)],16)
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>([(0,4),(0,5),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,2),(6,3),(8,9),(9,6)],10)
([(1,5),(4,3),(5,2),(5,4)],6)=>([(0,2),(0,3),(1,4),(1,5),(1,13),(2,12),(3,1),(3,12),(4,9),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(7,15),(8,15),(9,14),(10,8),(10,14),(11,7),(11,14),(12,13),(13,9),(13,10),(14,15)],16)
([(1,5),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(1,10),(2,3),(2,14),(2,15),(3,8),(3,13),(4,7),(4,11),(5,7),(5,12),(6,2),(6,11),(6,12),(7,16),(8,18),(9,17),(10,17),(11,15),(11,16),(12,14),(12,16),(13,9),(13,18),(14,8),(14,19),(15,1),(15,13),(15,19),(16,19),(18,17),(19,10),(19,18)],20)
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>([(0,3),(0,6),(1,8),(2,9),(3,7),(4,2),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,5),(11,9)],12)
([(0,4),(1,5),(5,2),(5,3)],6)=>([(0,3),(0,4),(1,12),(2,5),(2,6),(2,15),(3,1),(3,13),(4,2),(4,13),(5,9),(5,11),(6,9),(6,10),(7,17),(8,17),(9,16),(10,7),(10,16),(11,8),(11,16),(12,14),(13,12),(13,15),(14,7),(14,8),(15,10),(15,11),(15,14),(16,17)],18)
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>([(0,5),(1,10),(1,11),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,6),(6,2),(6,3),(6,4),(7,13),(8,10),(8,13),(9,11),(9,13),(10,12),(11,12),(13,12)],14)
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>([(0,2),(0,3),(1,5),(1,6),(1,13),(2,12),(3,1),(3,12),(4,7),(4,8),(5,9),(5,11),(6,9),(6,10),(7,15),(8,15),(9,14),(10,7),(10,14),(11,8),(11,14),(12,13),(13,4),(13,10),(13,11),(14,15)],16)
([(1,5),(3,4),(4,2),(5,3)],6)=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)
([(1,4),(2,3),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,8),(2,10),(2,12),(3,9),(3,11),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,1),(7,19),(9,17),(10,18),(11,7),(11,17),(12,7),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19),(19,8)],20)
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>([(0,5),(0,6),(2,9),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10),(10,4)],11)
([(0,5),(1,4),(4,2),(5,3)],6)=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10)
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,5),(0,6),(1,11),(2,4),(2,13),(3,7),(4,8),(5,1),(5,12),(6,2),(6,12),(8,9),(9,7),(10,3),(10,9),(11,10),(12,11),(12,13),(13,8),(13,10)],14)
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,2),(5,8),(6,1),(6,8),(8,9),(8,10),(9,11),(10,11),(11,3),(11,4)],12)
([(1,5),(2,3),(3,4),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,11),(3,12),(4,10),(4,13),(5,10),(5,14),(6,3),(6,13),(6,14),(7,17),(8,1),(8,17),(10,15),(11,7),(11,16),(12,8),(12,16),(13,11),(13,15),(14,12),(14,15),(15,16),(16,17),(17,9)],18)
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(0,4),(0,5),(1,7),(2,10),(2,12),(3,9),(3,12),(4,8),(5,6),(5,8),(6,2),(6,3),(6,11),(8,11),(9,13),(10,13),(11,9),(11,10),(12,1),(12,13),(13,7)],14)
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10)
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>([(0,5),(0,6),(1,4),(1,13),(2,11),(3,9),(4,3),(4,12),(5,10),(6,1),(6,10),(8,7),(9,7),(10,2),(10,13),(11,8),(12,8),(12,9),(13,11),(13,12)],14)
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,4),(0,6),(2,8),(3,9),(4,10),(5,3),(5,7),(6,5),(6,10),(7,8),(7,9),(8,11),(9,11),(10,2),(10,7),(11,1)],12)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,13),(2,8),(2,10),(3,7),(3,12),(4,11),(4,15),(5,11),(5,14),(6,3),(6,14),(6,15),(7,1),(7,16),(8,18),(10,18),(11,17),(12,8),(12,16),(13,9),(14,7),(14,17),(15,2),(15,12),(15,17),(16,13),(16,18),(17,10),(17,16),(18,9)],19)
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>([(0,4),(0,6),(2,10),(3,9),(4,7),(5,2),(5,8),(6,3),(6,7),(7,5),(7,9),(8,10),(9,8),(10,1)],11)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(2,7),(2,8),(3,9),(3,11),(4,10),(4,12),(5,10),(5,13),(6,3),(6,12),(6,13),(7,15),(8,15),(9,14),(10,16),(11,7),(11,14),(12,9),(12,16),(13,2),(13,11),(13,16),(14,15),(15,1),(16,8),(16,14)],17)
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>([(0,3),(0,6),(1,9),(2,8),(3,7),(4,2),(4,11),(5,4),(5,10),(6,1),(6,7),(7,5),(7,9),(9,10),(10,11),(11,8)],12)
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,8),(2,10),(3,7),(3,12),(4,11),(4,13),(5,11),(5,14),(6,3),(6,13),(6,14),(7,15),(8,16),(10,1),(10,16),(11,17),(12,8),(12,15),(13,7),(13,17),(14,2),(14,12),(14,17),(15,16),(16,9),(17,10),(17,15)],18)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,14),(3,9),(3,13),(4,11),(4,12),(5,10),(5,11),(6,10),(6,12),(7,18),(8,18),(9,17),(10,16),(11,2),(11,3),(11,16),(12,1),(12,16),(13,7),(13,17),(14,8),(14,17),(15,7),(15,8),(16,13),(16,14),(16,15),(17,18)],19)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,10),(1,11),(2,12),(2,14),(3,12),(3,13),(4,7),(4,8),(5,8),(5,9),(6,7),(6,9),(7,17),(8,17),(9,2),(9,3),(9,17),(10,16),(11,16),(12,15),(13,10),(13,15),(14,11),(14,15),(15,16),(17,1),(17,13),(17,14)],18)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>([(0,4),(0,5),(0,6),(1,15),(2,14),(3,13),(4,10),(4,11),(5,10),(5,12),(6,11),(6,12),(7,16),(8,16),(9,16),(10,3),(10,17),(11,2),(11,17),(12,1),(12,17),(13,7),(13,8),(14,7),(14,9),(15,8),(15,9),(17,13),(17,14),(17,15)],18)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(3,8),(4,10),(4,11),(5,10),(5,12),(6,11),(6,12),(7,15),(8,15),(9,15),(10,16),(11,2),(11,16),(12,1),(12,16),(13,7),(13,9),(14,8),(14,9),(16,3),(16,13),(16,14)],17)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,13),(2,7),(2,9),(3,7),(3,8),(4,11),(4,12),(5,10),(5,12),(6,10),(6,11),(7,14),(8,14),(9,14),(10,15),(11,15),(12,1),(12,15),(13,8),(13,9),(15,2),(15,3),(15,13)],16)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,11),(1,12),(2,10),(2,12),(3,10),(3,11),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,14),(8,14),(9,14),(10,13),(11,13),(12,13),(14,1),(14,2),(14,3)],15)
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,13),(2,10),(3,12),(4,8),(4,9),(5,7),(5,8),(6,7),(6,9),(7,14),(8,1),(8,14),(9,3),(9,14),(11,10),(12,11),(13,2),(13,11),(14,12),(14,13)],15)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(0,6),(1,8),(1,9),(2,11),(2,15),(3,10),(3,14),(4,7),(4,13),(5,7),(5,12),(6,3),(6,12),(6,13),(7,18),(8,17),(9,17),(10,19),(11,16),(12,10),(12,18),(13,2),(13,14),(13,18),(14,11),(14,19),(15,8),(15,16),(16,17),(18,1),(18,15),(18,19),(19,9),(19,16)],20)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,9),(2,8),(2,10),(3,7),(3,12),(4,11),(4,13),(5,11),(5,14),(6,3),(6,13),(6,14),(7,15),(8,16),(10,16),(11,17),(12,8),(12,15),(13,7),(13,17),(14,2),(14,12),(14,17),(15,1),(15,16),(16,9),(17,10),(17,15)],18)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,4),(0,5),(0,6),(1,12),(2,11),(3,7),(3,9),(4,10),(4,13),(5,10),(5,14),(6,3),(6,13),(6,14),(7,16),(9,1),(9,16),(10,15),(11,8),(12,8),(13,7),(13,15),(14,9),(14,15),(15,2),(15,16),(16,11),(16,12)],17)
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,12),(2,13),(3,8),(3,9),(4,10),(4,15),(5,10),(5,14),(6,3),(6,14),(6,15),(8,17),(9,1),(9,17),(10,2),(10,16),(11,7),(12,7),(13,11),(14,9),(14,16),(15,8),(15,16),(16,13),(16,17),(17,11),(17,12)],18)
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,11),(2,7),(3,8),(3,9),(4,10),(4,12),(5,10),(5,13),(6,3),(6,12),(6,13),(8,15),(9,1),(9,15),(10,14),(11,7),(12,8),(12,14),(13,9),(13,14),(14,15),(15,2),(15,11)],16)
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>([(0,5),(0,6),(1,11),(2,4),(2,13),(3,7),(4,10),(5,1),(5,12),(6,2),(6,12),(8,9),(9,7),(10,3),(10,9),(11,8),(12,11),(12,13),(13,8),(13,10)],14)
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,6),(1,10),(2,7),(3,7),(4,8),(5,1),(5,9),(6,5),(6,8),(8,9),(9,10),(10,2),(10,3)],11)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,8),(2,9),(2,11),(3,10),(3,12),(4,13),(4,14),(5,2),(5,13),(5,15),(6,3),(6,14),(6,15),(7,19),(9,17),(10,18),(11,7),(11,17),(12,7),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,1),(18,19),(19,8)],20)
([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>([(0,5),(1,9),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8),(7,9),(8,10),(9,10)],11)
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>([(0,3),(0,6),(1,9),(2,10),(3,7),(4,5),(4,12),(5,1),(5,8),(6,4),(6,7),(7,12),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13)
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11)
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>([(0,3),(0,6),(1,9),(2,8),(3,7),(4,5),(4,10),(5,2),(5,11),(6,4),(6,7),(7,10),(8,9),(10,11),(11,1),(11,8)],12)
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>([(0,4),(0,5),(0,6),(1,12),(2,11),(3,8),(3,9),(4,10),(4,13),(5,10),(5,14),(6,3),(6,13),(6,14),(8,2),(8,16),(9,1),(9,16),(10,15),(11,7),(12,7),(13,8),(13,15),(14,9),(14,15),(15,16),(16,11),(16,12)],17)
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>([(0,4),(0,5),(0,6),(1,11),(3,10),(3,12),(4,7),(4,8),(5,7),(5,9),(6,3),(6,8),(6,9),(7,14),(8,12),(8,14),(9,10),(9,14),(10,13),(11,2),(12,1),(12,13),(13,11),(14,13)],15)
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>([(0,3),(0,6),(2,10),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(8,10),(9,8),(10,1)],11)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(2,9),(2,11),(3,8),(3,10),(4,12),(4,13),(5,3),(5,12),(5,14),(6,2),(6,13),(6,14),(7,18),(8,16),(9,17),(10,7),(10,16),(11,7),(11,17),(12,8),(12,15),(13,9),(13,15),(14,10),(14,11),(14,15),(15,16),(15,17),(16,18),(17,18),(18,1)],19)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>([(0,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,1),(7,2),(7,3),(7,4),(7,5),(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),(18,6)],19)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,7),(1,14),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,11),(6,12),(6,13),(7,3),(7,4),(7,5),(7,6),(8,17),(8,18),(9,15),(9,18),(10,16),(10,18),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,2),(15,19),(16,19),(17,19),(18,1),(18,19),(19,14)],20)
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,7),(1,8),(2,8),(3,12),(3,13),(3,14),(4,10),(4,11),(4,14),(5,9),(5,11),(5,13),(6,9),(6,10),(6,12),(7,3),(7,4),(7,5),(7,6),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,16),(12,18),(13,17),(13,18),(14,16),(14,17),(15,19),(16,19),(17,19),(18,19),(19,1),(19,2)],20)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>([(0,7),(1,8),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(6,2),(7,3),(7,4),(7,5),(9,12),(10,12),(11,12),(12,6)],13)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,7),(1,12),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(6,8),(7,3),(7,4),(7,5),(8,12),(9,13),(10,13),(11,13),(13,2),(13,6)],14)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,7),(2,11),(3,11),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(7,4),(7,5),(7,6),(8,12),(9,12),(10,12),(11,1),(12,2),(12,3)],13)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>([(0,7),(1,13),(2,12),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,1),(6,11),(7,3),(7,4),(7,5),(8,15),(9,15),(10,6),(10,15),(11,12),(11,13),(12,14),(13,14),(15,2),(15,11)],16)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,7),(2,12),(3,10),(4,9),(4,11),(5,8),(5,11),(6,8),(6,9),(7,4),(7,5),(7,6),(8,13),(9,13),(10,12),(11,3),(11,13),(12,1),(13,2),(13,10)],14)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,7),(1,11),(2,10),(3,9),(3,13),(4,8),(4,13),(5,8),(5,9),(6,1),(6,12),(7,3),(7,4),(7,5),(8,14),(9,14),(10,12),(12,11),(13,2),(13,14),(14,6),(14,10)],15)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>([(0,1),(1,5),(1,6),(1,7),(2,14),(3,4),(3,15),(4,13),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,16),(10,2),(10,16),(11,3),(11,16),(12,8),(13,8),(14,12),(15,12),(15,13),(16,14),(16,15)],17)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,7),(2,11),(2,12),(3,10),(4,9),(5,8),(5,11),(6,8),(6,12),(7,2),(7,5),(7,6),(8,14),(9,13),(10,13),(11,4),(11,14),(12,3),(12,14),(13,1),(14,9),(14,10)],15)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,7),(1,13),(1,14),(2,12),(3,8),(3,10),(4,8),(4,9),(5,2),(5,11),(6,1),(6,9),(6,10),(7,3),(7,4),(7,6),(8,16),(9,13),(9,16),(10,14),(10,16),(11,12),(13,15),(14,15),(15,11),(16,5),(16,15)],17)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,10),(3,13),(4,11),(4,15),(5,11),(5,14),(6,7),(6,14),(6,15),(7,8),(7,9),(8,17),(9,17),(11,3),(11,16),(12,10),(13,2),(13,12),(14,8),(14,16),(15,9),(15,16),(16,13),(16,17),(17,12)],18)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,7),(1,12),(2,8),(3,8),(4,10),(4,11),(5,9),(5,11),(6,9),(6,10),(7,4),(7,5),(7,6),(9,13),(10,13),(11,1),(11,13),(12,2),(12,3),(13,12)],14)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>([(0,7),(2,10),(3,9),(3,11),(4,8),(4,11),(5,8),(5,9),(6,1),(7,3),(7,4),(7,5),(8,12),(9,12),(10,6),(11,2),(11,12),(12,10)],13)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,3),(2,16),(3,12),(4,11),(4,15),(5,11),(5,14),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,18),(11,2),(11,17),(12,10),(13,10),(14,8),(14,17),(15,9),(15,17),(16,12),(16,13),(17,16),(17,18),(18,13)],19)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>([(0,7),(1,12),(2,8),(3,9),(3,10),(4,10),(4,11),(5,9),(5,11),(6,2),(6,13),(7,3),(7,4),(7,5),(8,12),(9,14),(10,14),(11,6),(11,14),(13,1),(13,8),(14,13)],15)
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>([(0,7),(1,12),(1,14),(2,12),(2,13),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,1),(6,2),(6,11),(7,3),(7,4),(7,5),(8,16),(9,16),(10,6),(10,16),(11,13),(11,14),(12,15),(13,15),(14,15),(16,11)],17)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,16),(3,11),(3,12),(4,13),(4,15),(5,13),(5,14),(6,7),(6,14),(6,15),(7,8),(7,9),(8,19),(9,19),(10,17),(11,17),(12,17),(13,2),(13,18),(14,8),(14,18),(15,9),(15,18),(16,10),(16,12),(18,3),(18,16),(18,19),(19,10),(19,11)],20)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,11),(2,13),(3,10),(3,13),(4,12),(4,15),(5,12),(5,14),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,18),(10,16),(11,16),(12,17),(13,16),(14,8),(14,17),(15,9),(15,17),(17,2),(17,3),(17,18),(18,10),(18,11)],19)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,7),(1,11),(2,13),(3,10),(3,12),(4,9),(4,12),(5,8),(6,9),(6,10),(7,3),(7,4),(7,6),(8,11),(9,14),(10,14),(12,2),(12,14),(13,1),(13,8),(14,5),(14,13)],15)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,7),(1,10),(1,13),(2,11),(3,9),(3,14),(4,8),(4,14),(5,10),(5,12),(6,8),(6,9),(7,3),(7,4),(7,6),(8,15),(9,15),(10,16),(12,16),(13,2),(13,16),(14,1),(14,5),(14,15),(15,12),(15,13),(16,11)],17)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,7),(2,10),(2,13),(3,9),(3,13),(4,8),(4,12),(5,8),(5,11),(6,9),(6,10),(7,2),(7,3),(7,6),(8,15),(9,14),(10,14),(11,15),(12,15),(13,4),(13,5),(13,14),(14,11),(14,12),(15,1)],16)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,10),(2,15),(3,7),(3,14),(3,15),(4,11),(4,12),(5,12),(5,13),(6,11),(6,13),(7,8),(7,9),(8,17),(9,17),(10,16),(11,18),(12,18),(13,2),(13,3),(13,18),(14,9),(14,16),(15,8),(15,16),(16,17),(18,10),(18,14)],19)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,7),(1,11),(1,13),(2,10),(2,13),(3,12),(4,9),(4,14),(5,8),(5,14),(6,8),(6,9),(7,4),(7,5),(7,6),(8,16),(9,16),(10,15),(11,15),(13,3),(13,15),(14,1),(14,2),(14,16),(15,12),(16,10),(16,11)],17)
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(1,5),(1,6),(1,7),(2,16),(3,11),(3,15),(4,11),(4,14),(5,10),(5,12),(6,10),(6,13),(7,12),(7,13),(8,19),(9,19),(10,17),(11,18),(12,2),(12,17),(13,3),(13,4),(13,17),(14,8),(14,18),(15,9),(15,18),(16,8),(16,9),(17,14),(17,15),(17,16),(18,19)],20)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(1,5),(1,6),(1,7),(2,8),(2,9),(3,12),(3,15),(4,12),(4,14),(5,10),(5,11),(6,11),(6,13),(7,10),(7,13),(8,17),(9,17),(10,18),(11,18),(12,16),(13,3),(13,4),(13,18),(14,8),(14,16),(15,9),(15,16),(16,17),(18,2),(18,14),(18,15)],19)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>([(0,1),(1,5),(1,6),(1,7),(2,16),(3,15),(4,14),(5,11),(5,12),(6,11),(6,13),(7,12),(7,13),(8,17),(9,17),(10,17),(11,4),(11,18),(12,3),(12,18),(13,2),(13,18),(14,8),(14,9),(15,8),(15,10),(16,9),(16,10),(18,14),(18,15),(18,16)],19)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(1,5),(1,6),(1,7),(2,15),(3,14),(4,9),(4,10),(5,12),(5,13),(6,11),(6,12),(7,11),(7,13),(8,16),(9,16),(10,16),(11,17),(12,3),(12,17),(13,2),(13,17),(14,8),(14,9),(15,8),(15,10),(17,4),(17,14),(17,15)],18)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,7),(1,11),(1,13),(2,11),(2,12),(3,10),(4,9),(4,14),(5,8),(5,14),(6,8),(6,9),(7,4),(7,5),(7,6),(8,16),(9,16),(10,12),(10,13),(11,15),(12,15),(13,15),(14,3),(14,16),(16,1),(16,2),(16,10)],17)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,7),(1,12),(1,13),(2,11),(2,13),(3,11),(3,12),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(7,4),(7,5),(7,6),(8,15),(9,15),(10,15),(11,14),(12,14),(13,14),(15,1),(15,2),(15,3)],16)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([(0,7),(1,11),(2,14),(3,12),(3,13),(4,9),(5,8),(5,12),(6,8),(6,13),(7,3),(7,5),(7,6),(8,15),(9,10),(10,11),(12,2),(12,15),(13,4),(13,15),(14,1),(14,10),(15,9),(15,14)],16)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,9),(3,10),(3,11),(4,12),(4,15),(5,12),(5,14),(6,7),(6,14),(6,15),(7,8),(7,13),(8,16),(10,17),(11,2),(11,17),(12,18),(13,10),(13,16),(14,8),(14,18),(15,3),(15,13),(15,18),(16,17),(17,9),(18,11),(18,16)],19)
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,2),(0,3),(1,6),(1,7),(1,15),(2,14),(3,4),(3,5),(3,14),(4,11),(4,13),(5,10),(5,13),(6,9),(6,12),(7,8),(7,12),(8,17),(9,17),(10,16),(11,16),(12,17),(13,1),(13,16),(14,10),(14,11),(15,8),(15,9),(16,15)],18)
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,8),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(6,2),(7,3),(7,4),(7,5),(8,7),(9,12),(10,12),(11,12)],13)
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,1),(0,2),(1,16),(2,3),(2,4),(2,16),(3,11),(3,13),(4,10),(4,13),(5,12),(5,15),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,18),(10,19),(11,19),(12,17),(13,5),(13,6),(13,19),(14,9),(14,17),(15,8),(15,17),(16,10),(16,11),(17,18),(19,12),(19,14)],20)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>([(0,7),(1,12),(2,12),(3,8),(4,9),(4,11),(5,9),(5,10),(6,4),(6,5),(6,8),(7,1),(7,2),(8,10),(8,11),(9,13),(10,13),(11,13),(12,3),(12,6)],14)
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(0,3),(1,8),(2,15),(3,4),(3,5),(3,15),(4,10),(4,14),(5,9),(5,14),(6,12),(6,13),(7,11),(7,13),(9,17),(10,17),(11,16),(12,16),(13,1),(13,16),(14,6),(14,7),(14,17),(15,9),(15,10),(16,8),(17,11),(17,12)],18)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>([(0,7),(1,11),(2,10),(3,8),(4,8),(5,2),(5,9),(6,1),(6,9),(7,3),(7,4),(8,5),(8,6),(9,10),(9,11),(10,12),(11,12)],13)
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>([(0,7),(1,9),(2,11),(3,10),(4,10),(5,8),(6,5),(6,11),(7,3),(7,4),(8,9),(10,2),(10,6),(11,1),(11,8)],12)
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,7),(1,10),(2,10),(3,8),(4,8),(5,9),(6,9),(7,1),(7,2),(9,3),(9,4),(10,5),(10,6)],11)
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>([(0,7),(1,9),(2,8),(2,11),(3,8),(3,10),(4,12),(5,4),(5,9),(6,2),(6,3),(6,13),(7,1),(7,5),(8,14),(9,6),(9,12),(10,14),(11,14),(12,13),(13,10),(13,11)],15)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>([(0,1),(1,2),(1,3),(2,15),(3,4),(3,5),(3,15),(4,10),(4,12),(5,10),(5,11),(6,7),(6,13),(6,14),(7,8),(7,9),(8,17),(9,17),(10,16),(11,13),(11,16),(12,14),(12,16),(13,8),(13,18),(14,9),(14,18),(15,6),(15,11),(15,12),(16,18),(18,17)],19)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>([(0,7),(1,13),(2,13),(3,11),(3,12),(4,8),(4,10),(5,8),(5,9),(6,3),(6,9),(6,10),(7,1),(7,2),(8,15),(9,11),(9,15),(10,12),(10,15),(11,14),(12,14),(13,4),(13,5),(13,6),(15,14)],16)
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,7),(1,12),(2,12),(3,9),(3,11),(4,8),(4,11),(5,10),(6,8),(6,9),(7,1),(7,2),(8,13),(9,13),(11,5),(11,13),(12,3),(12,4),(12,6),(13,10)],14)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,7),(1,11),(2,11),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(7,1),(7,2),(8,12),(9,12),(10,12),(11,4),(11,5),(11,6),(12,3)],13)
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>([(0,7),(1,14),(2,9),(3,8),(3,12),(4,10),(4,11),(5,2),(5,14),(6,4),(6,8),(6,13),(7,1),(7,5),(8,11),(8,15),(9,12),(9,13),(10,16),(11,16),(12,15),(13,10),(13,15),(14,3),(14,6),(14,9),(15,16)],17)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,7),(1,11),(1,12),(2,10),(2,12),(3,13),(4,9),(5,8),(6,5),(6,13),(7,3),(7,6),(8,10),(8,11),(10,14),(11,14),(12,4),(12,14),(13,1),(13,2),(13,8),(14,9)],15)
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,4),(3,15),(4,13),(5,14),(6,7),(6,11),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,10),(13,11),(14,10),(14,12),(15,6),(15,13),(15,14),(16,17)],18)
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,7),(1,14),(2,14),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(7,1),(7,2),(8,15),(8,18),(9,15),(9,16),(10,15),(10,17),(11,16),(11,18),(12,17),(12,18),(13,16),(13,17),(14,3),(14,4),(14,5),(14,6),(15,19),(16,19),(17,19),(18,19)],20)
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,8),(3,15),(4,5),(4,6),(4,15),(5,10),(5,13),(6,7),(6,12),(6,13),(7,9),(7,11),(9,17),(10,16),(11,1),(11,17),(12,9),(12,16),(13,11),(13,16),(14,8),(15,10),(15,12),(16,17),(17,14)],18)
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>([(0,7),(1,10),(2,9),(3,8),(4,8),(5,1),(5,9),(6,3),(6,4),(7,2),(7,5),(9,10),(10,6)],11)
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>([(0,6),(1,11),(1,12),(1,13),(2,9),(2,10),(2,13),(3,8),(3,10),(3,12),(4,8),(4,9),(4,11),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4),(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)],19)
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>([(0,5),(0,6),(1,12),(1,13),(1,14),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(8,7),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,16),(12,18),(13,17),(13,18),(14,16),(14,17),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>([(0,4),(0,5),(0,6),(1,9),(1,10),(2,8),(2,10),(3,8),(3,9),(4,12),(4,13),(5,11),(5,13),(6,11),(6,12),(7,1),(7,2),(7,3),(8,14),(9,14),(10,14),(11,15),(12,15),(13,15),(15,7)],16)
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,12),(3,13),(3,14),(4,10),(4,11),(4,14),(5,9),(5,11),(5,13),(6,9),(6,10),(6,12),(7,1),(7,2),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,16),(12,18),(13,17),(13,18),(14,16),(14,17),(15,19),(16,19),(17,19),(18,19),(19,7)],20)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>([(0,2),(0,3),(0,4),(0,5),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,1),(7,6),(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),(18,7)],19)
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,3),(0,4),(0,5),(1,12),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(6,8),(7,2),(7,6),(8,12),(9,13),(10,13),(11,13),(13,7)],14)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([(0,3),(0,4),(0,5),(1,8),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,7),(7,1),(7,2),(9,12),(10,12),(11,12),(12,6)],13)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([(0,2),(0,3),(0,4),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,6),(6,1),(7,5),(8,11),(9,11),(10,11),(11,7)],12)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>([(0,3),(0,4),(0,5),(0,6),(2,8),(3,10),(3,11),(3,14),(4,9),(4,11),(4,13),(5,9),(5,10),(5,12),(6,12),(6,13),(6,14),(7,1),(8,7),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,2),(18,19),(19,8)],20)
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,4),(0,6),(2,8),(2,11),(3,8),(3,10),(4,9),(5,7),(5,12),(6,5),(6,9),(7,2),(7,3),(7,13),(8,14),(9,12),(10,14),(11,14),(12,13),(13,10),(13,11),(14,1)],15)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([(0,6),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,7),(6,5),(7,2),(7,3),(7,4),(8,11),(9,11),(10,11),(11,1)],12)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,4),(0,5),(0,6),(2,11),(3,11),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(7,2),(7,3),(8,12),(9,12),(10,12),(11,1),(12,7)],13)
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,4),(0,5),(0,6),(2,8),(2,14),(3,8),(3,13),(4,9),(4,10),(5,10),(5,11),(6,9),(6,11),(7,2),(7,3),(7,12),(8,16),(9,15),(10,15),(11,7),(11,15),(12,13),(12,14),(13,16),(14,16),(15,12),(16,1)],17)
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,5),(0,6),(2,10),(2,11),(3,9),(3,11),(4,9),(4,10),(5,8),(6,8),(7,2),(7,3),(7,4),(8,7),(9,12),(10,12),(11,12),(12,1)],13)
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,4),(0,5),(0,6),(2,10),(3,9),(4,12),(4,13),(5,8),(5,12),(6,8),(6,13),(7,1),(8,14),(9,11),(10,11),(11,7),(12,3),(12,14),(13,2),(13,14),(14,9),(14,10)],15)
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,4),(1,18),(2,3),(2,17),(3,12),(4,13),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,19),(10,2),(10,19),(11,1),(11,19),(12,14),(13,15),(14,8),(15,8),(16,14),(16,15),(17,12),(17,16),(18,13),(18,16),(19,17),(19,18)],20)
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,11),(3,4),(3,16),(4,12),(5,9),(5,10),(6,8),(6,9),(7,8),(7,10),(8,17),(9,1),(9,17),(10,3),(10,17),(12,13),(13,11),(14,2),(14,13),(15,14),(16,12),(16,14),(17,15),(17,16)],18)
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,12),(5,13),(6,9),(6,12),(7,9),(7,13),(9,15),(10,14),(11,14),(12,4),(12,15),(13,3),(13,15),(14,1),(14,2),(15,10),(15,11)],16)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,4),(2,15),(3,14),(4,12),(5,8),(5,9),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,2),(10,16),(12,13),(13,11),(14,1),(14,13),(15,12),(15,14),(16,3),(16,15)],17)
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,13),(2,8),(3,8),(4,11),(5,10),(5,12),(6,9),(6,12),(7,9),(7,10),(9,14),(10,14),(11,13),(12,4),(12,14),(13,2),(13,3),(14,1),(14,11)],15)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,16),(2,4),(2,15),(3,12),(4,13),(5,9),(5,10),(6,10),(6,11),(7,9),(7,11),(9,17),(10,17),(11,1),(11,17),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15),(17,2),(17,16)],18)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,4),(0,5),(0,6),(1,12),(2,11),(3,8),(4,10),(4,13),(5,9),(5,13),(6,9),(6,10),(7,3),(7,14),(8,12),(9,15),(10,15),(11,14),(13,2),(13,15),(14,1),(14,8),(15,7),(15,11)],16)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,4),(0,5),(0,6),(1,11),(2,12),(2,14),(3,12),(3,13),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(7,2),(7,3),(7,11),(8,16),(9,16),(10,16),(11,13),(11,14),(12,15),(13,15),(14,15),(16,1),(16,7)],17)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,3),(0,4),(0,5),(1,13),(2,12),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,2),(6,8),(7,1),(7,8),(8,12),(8,13),(9,15),(10,15),(11,15),(12,14),(13,14),(15,6),(15,7)],16)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>([(0,4),(0,5),(0,6),(1,12),(2,13),(3,8),(4,10),(4,11),(5,9),(5,11),(6,9),(6,10),(7,3),(7,13),(8,12),(9,14),(10,14),(11,14),(13,1),(13,8),(14,2),(14,7)],15)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,12),(2,12),(3,8),(4,8),(5,10),(5,11),(6,9),(6,11),(7,9),(7,10),(9,13),(10,13),(11,13),(12,3),(12,4),(13,1),(13,2)],14)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,3),(0,4),(0,5),(1,12),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(6,13),(7,6),(7,8),(8,13),(9,14),(10,14),(11,14),(13,12),(14,2),(14,7)],15)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([(0,4),(0,5),(0,6),(2,8),(3,8),(4,10),(4,11),(5,9),(5,11),(6,9),(6,10),(7,1),(8,7),(9,12),(10,12),(11,12),(12,2),(12,3)],13)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>([(0,4),(0,5),(0,6),(2,12),(3,8),(4,10),(4,11),(5,9),(5,11),(6,9),(6,10),(7,2),(7,8),(8,12),(9,13),(10,13),(11,13),(12,1),(13,3),(13,7)],14)
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,3),(2,4),(2,15),(3,8),(3,10),(4,8),(4,9),(5,12),(5,13),(6,11),(6,13),(7,11),(7,12),(8,16),(9,16),(10,16),(11,17),(12,17),(13,1),(13,17),(14,15),(15,9),(15,10),(17,2),(17,14)],18)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,16),(2,14),(3,4),(3,15),(4,12),(5,9),(5,10),(6,10),(6,11),(7,9),(7,11),(9,17),(10,17),(11,1),(11,17),(12,8),(13,8),(14,13),(15,12),(15,13),(16,14),(16,15),(17,2),(17,16)],18)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>([(0,4),(0,5),(0,6),(2,11),(3,10),(4,9),(4,12),(5,8),(5,12),(6,8),(6,9),(7,1),(8,13),(9,13),(10,11),(11,7),(12,3),(12,13),(13,2),(13,10)],14)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>([(0,4),(0,5),(0,6),(2,12),(3,13),(4,8),(4,9),(5,9),(5,10),(6,8),(6,10),(7,2),(7,11),(8,15),(9,15),(10,7),(10,15),(11,12),(11,13),(12,14),(13,14),(14,1),(15,3),(15,11)],16)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>([(0,4),(0,5),(0,6),(2,12),(3,10),(4,9),(4,13),(5,8),(5,13),(6,8),(6,9),(7,2),(7,11),(8,14),(9,14),(10,11),(11,12),(12,1),(13,3),(13,14),(14,7),(14,10)],15)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,3),(0,4),(0,5),(1,12),(2,10),(3,9),(3,14),(4,8),(4,14),(5,8),(5,9),(6,1),(6,13),(7,6),(7,11),(8,15),(9,15),(10,11),(11,13),(13,12),(14,2),(14,15),(15,7),(15,10)],16)
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,3),(2,17),(3,4),(3,16),(4,13),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,18),(10,1),(10,18),(11,2),(11,18),(12,14),(13,8),(14,8),(15,12),(16,13),(16,14),(17,12),(17,16),(18,15),(18,17)],19)
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,5),(0,6),(0,7),(2,14),(3,4),(3,15),(4,13),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(8,1),(9,16),(10,2),(10,16),(11,3),(11,16),(12,8),(13,8),(14,12),(15,12),(15,13),(16,14),(16,15)],17)
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>([(0,4),(0,5),(0,6),(1,11),(2,8),(3,8),(4,10),(4,12),(5,9),(5,12),(6,9),(6,10),(7,2),(7,3),(9,13),(10,13),(11,7),(12,1),(12,13),(13,11)],14)
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,16),(2,13),(2,15),(3,4),(3,14),(3,15),(4,8),(4,9),(5,10),(5,11),(6,11),(6,12),(7,10),(7,12),(8,19),(9,19),(10,17),(11,17),(12,1),(12,17),(13,18),(14,9),(14,18),(15,8),(15,18),(16,13),(16,14),(17,16),(18,19)],20)
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>([(0,3),(0,4),(0,5),(1,13),(2,12),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(6,14),(7,1),(7,11),(8,15),(9,15),(10,7),(10,15),(11,6),(11,13),(13,14),(14,12),(15,11)],16)
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>([(0,4),(0,5),(1,12),(1,13),(2,8),(2,11),(3,8),(3,10),(4,9),(5,9),(6,1),(6,10),(6,11),(7,2),(7,3),(7,6),(8,15),(9,7),(10,12),(10,15),(11,13),(11,15),(12,14),(13,14),(15,14)],16)
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,16),(2,11),(2,12),(3,13),(3,15),(4,13),(4,14),(5,8),(5,9),(6,9),(6,10),(7,8),(7,10),(8,17),(9,17),(10,1),(10,17),(11,19),(12,19),(13,18),(14,11),(14,18),(15,12),(15,18),(16,2),(16,14),(16,15),(17,16),(18,19)],20)
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,16),(2,9),(2,10),(3,12),(3,13),(4,11),(4,13),(5,8),(5,15),(6,8),(6,14),(7,2),(7,14),(7,15),(8,18),(9,19),(10,19),(11,17),(12,17),(13,17),(14,9),(14,18),(15,10),(15,18),(16,11),(16,12),(18,1),(18,19),(19,16)],20)
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,12),(3,2),(3,13),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(11,16),(12,10),(13,1),(13,12),(14,8),(14,16),(15,9),(15,16),(16,3),(16,17),(17,13)],18)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,12),(2,13),(3,8),(4,8),(5,9),(5,11),(6,9),(6,10),(7,2),(7,10),(7,11),(9,16),(10,12),(10,16),(11,13),(11,16),(12,15),(13,15),(14,3),(14,4),(15,14),(16,1),(16,15)],17)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>([(0,4),(0,5),(0,7),(1,12),(1,13),(3,11),(4,9),(4,10),(5,8),(5,10),(6,2),(7,1),(7,8),(7,9),(8,12),(8,15),(9,13),(9,15),(10,15),(11,6),(12,14),(13,14),(14,11),(15,3),(15,14)],16)
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,14),(3,8),(3,9),(4,3),(4,12),(4,13),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,17),(9,17),(10,1),(11,18),(12,8),(12,19),(13,9),(13,19),(14,10),(15,12),(15,18),(16,13),(16,18),(17,10),(18,2),(18,19),(19,14),(19,17)],20)
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,14),(2,3),(2,4),(2,15),(3,8),(3,10),(4,8),(4,9),(5,12),(5,13),(6,11),(6,13),(7,11),(7,12),(8,16),(9,16),(10,16),(11,17),(12,17),(13,1),(13,17),(14,15),(15,9),(15,10),(17,14)],18)
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,4),(0,5),(0,6),(1,13),(2,11),(3,8),(4,10),(4,12),(5,9),(5,12),(6,9),(6,10),(7,2),(7,8),(8,11),(9,14),(10,14),(12,1),(12,14),(13,3),(13,7),(14,13)],15)
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,12),(2,14),(3,8),(4,9),(4,10),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(9,18),(10,18),(11,2),(11,17),(12,8),(13,12),(14,1),(14,13),(15,9),(15,17),(16,10),(16,17),(17,14),(17,18),(18,13)],19)
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>([(0,4),(0,5),(1,9),(2,10),(2,12),(3,10),(3,11),(4,8),(5,8),(6,2),(6,3),(6,9),(7,1),(7,6),(8,7),(9,11),(9,12),(10,13),(11,13),(12,13)],14)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,14),(2,15),(3,8),(3,10),(4,8),(4,9),(5,12),(5,13),(6,11),(6,13),(7,11),(7,12),(8,16),(9,16),(10,16),(11,17),(12,17),(13,1),(13,17),(14,3),(14,4),(14,15),(15,9),(15,10),(17,14)],18)
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>([(0,4),(0,5),(1,10),(1,11),(2,9),(2,11),(3,9),(3,10),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(8,6),(9,12),(10,12),(11,12)],13)
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,12),(5,13),(6,11),(6,13),(7,11),(7,12),(8,16),(9,16),(10,16),(11,15),(12,15),(13,1),(13,15),(14,2),(14,3),(14,4),(15,14)],17)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>([(0,2),(2,3),(2,4),(2,5),(3,13),(3,14),(4,7),(4,14),(4,15),(5,6),(5,13),(5,15),(6,9),(6,11),(7,10),(7,12),(8,19),(9,17),(10,18),(11,8),(11,17),(12,8),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19),(19,1)],20)
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>([(0,3),(0,4),(1,10),(2,9),(3,8),(4,8),(5,1),(5,9),(6,7),(7,2),(7,5),(8,6),(9,10)],11)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,12),(3,14),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,18),(11,3),(11,17),(12,10),(13,1),(13,12),(14,2),(14,13),(15,8),(15,17),(16,9),(16,17),(17,14),(17,18),(18,13)],19)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,10),(3,13),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(10,1),(11,3),(11,16),(12,10),(13,2),(13,12),(14,8),(14,16),(15,9),(15,16),(16,13),(16,17),(17,12)],18)
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,12),(2,10),(3,10),(5,9),(5,11),(6,8),(6,11),(7,8),(7,9),(8,13),(9,13),(10,4),(11,1),(11,13),(12,2),(12,3),(13,12)],14)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,5),(0,7),(1,13),(3,8),(3,10),(4,12),(4,14),(5,9),(6,4),(6,8),(6,11),(7,3),(7,6),(7,9),(8,12),(8,16),(9,10),(9,11),(10,16),(11,14),(11,16),(12,15),(13,2),(14,1),(14,15),(15,13),(16,15)],17)
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,6),(3,7),(3,15),(4,11),(5,14),(6,10),(6,13),(7,10),(7,12),(8,17),(9,17),(10,16),(12,8),(12,16),(13,9),(13,16),(14,8),(14,9),(15,12),(15,13),(15,14),(16,4),(16,17),(17,11)],18)
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>([(0,7),(1,14),(2,12),(2,13),(3,11),(4,8),(4,10),(5,8),(5,9),(6,4),(6,5),(6,14),(7,1),(7,6),(8,16),(9,12),(9,16),(10,13),(10,16),(12,15),(13,15),(14,2),(14,9),(14,10),(15,11),(16,3),(16,15)],17)
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,2),(0,3),(1,9),(2,16),(3,4),(3,6),(3,16),(4,10),(4,15),(5,11),(5,12),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(10,18),(11,19),(12,19),(13,11),(13,17),(14,8),(14,18),(15,5),(15,13),(15,18),(16,10),(16,14),(17,1),(17,19),(18,12),(18,17),(19,9)],20)
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,1),(1,3),(1,4),(2,11),(3,5),(3,15),(4,6),(4,7),(4,15),(5,14),(6,9),(6,12),(7,9),(7,13),(8,17),(9,16),(10,2),(10,17),(12,8),(12,16),(13,10),(13,16),(14,8),(14,10),(15,12),(15,13),(15,14),(16,17),(17,11)],18)
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>([(0,7),(1,11),(1,12),(2,10),(3,9),(4,8),(5,4),(5,13),(6,3),(6,13),(7,5),(7,6),(8,11),(8,14),(9,12),(9,14),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,7),(1,10),(1,11),(3,9),(4,8),(5,4),(5,13),(6,3),(6,13),(7,5),(7,6),(8,10),(8,12),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,8),(13,9),(14,2)],15)
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>([(0,1),(1,3),(1,4),(2,14),(3,5),(3,16),(4,6),(4,7),(4,16),(5,15),(6,11),(6,13),(7,11),(7,12),(9,18),(10,18),(11,2),(11,17),(12,9),(12,17),(13,10),(13,17),(14,8),(15,9),(15,10),(16,12),(16,13),(16,15),(17,14),(17,18),(18,8)],19)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>([(0,7),(2,8),(3,12),(4,10),(4,11),(5,9),(5,11),(6,4),(6,5),(6,8),(7,2),(7,6),(8,9),(8,10),(9,13),(10,13),(11,3),(11,13),(12,1),(13,12)],14)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,1),(1,3),(1,4),(2,14),(3,15),(4,6),(4,7),(4,15),(5,9),(5,10),(6,11),(6,13),(7,11),(7,12),(9,17),(10,17),(11,2),(11,16),(12,9),(12,16),(13,10),(13,16),(14,8),(15,5),(15,12),(15,13),(16,14),(16,17),(17,8)],18)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,7),(2,13),(3,11),(3,12),(4,8),(4,10),(5,8),(5,9),(6,4),(6,5),(6,13),(7,2),(7,6),(8,14),(9,11),(9,14),(10,12),(10,14),(11,15),(12,15),(13,3),(13,9),(13,10),(14,15),(15,1)],16)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,15),(3,4),(3,6),(3,15),(4,10),(4,14),(5,9),(5,11),(6,7),(6,13),(6,14),(7,8),(7,12),(8,16),(9,17),(10,18),(11,17),(12,11),(12,16),(13,8),(13,18),(14,5),(14,12),(14,18),(15,10),(15,13),(16,17),(17,1),(18,9),(18,16)],19)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,7),(1,11),(3,8),(4,10),(5,4),(5,8),(6,1),(6,9),(7,3),(7,5),(8,6),(8,10),(9,11),(10,9),(11,2)],12)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,6),(2,8),(3,10),(3,11),(3,14),(4,9),(4,11),(4,13),(5,9),(5,10),(5,12),(6,2),(6,7),(7,3),(7,4),(7,5),(7,8),(8,12),(8,13),(8,14),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,19),(19,1)],20)
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>([(0,4),(0,5),(2,9),(3,9),(4,8),(5,8),(6,7),(7,2),(7,3),(8,6),(9,1)],10)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>([(0,5),(0,7),(2,13),(3,9),(3,12),(4,9),(4,11),(5,8),(6,2),(6,10),(7,3),(7,4),(7,8),(8,11),(8,12),(9,6),(9,14),(10,13),(11,14),(12,14),(13,1),(14,10)],15)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,7),(2,8),(2,12),(3,8),(3,11),(4,10),(5,4),(5,9),(6,2),(6,3),(6,9),(7,5),(7,6),(8,15),(9,10),(9,11),(9,12),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,16),(14,16),(15,16),(16,1)],17)
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,4),(0,5),(0,6),(1,12),(1,13),(2,8),(3,8),(4,9),(4,11),(5,9),(5,10),(6,1),(6,10),(6,11),(7,2),(7,3),(9,15),(10,12),(10,15),(11,13),(11,15),(12,14),(13,14),(14,7),(15,14)],16)
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([(0,2),(0,3),(0,4),(1,13),(2,8),(2,9),(3,9),(3,10),(4,8),(4,10),(5,6),(5,14),(6,1),(6,12),(7,5),(7,11),(8,15),(9,15),(10,7),(10,15),(11,14),(12,13),(14,12),(15,11)],16)
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>([(0,4),(0,5),(0,7),(1,11),(1,12),(3,8),(4,10),(4,14),(5,9),(5,14),(6,2),(7,1),(7,9),(7,10),(8,13),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,6),(14,3),(14,16),(15,13),(16,8),(16,15)],17)
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>([(0,3),(0,4),(1,10),(2,8),(3,9),(4,9),(5,1),(5,11),(6,5),(6,8),(7,2),(7,6),(8,11),(9,7),(11,10)],12)
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,3),(2,17),(3,13),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,19),(9,19),(11,2),(11,18),(12,10),(13,12),(14,1),(14,12),(15,8),(15,18),(16,9),(16,18),(17,13),(17,14),(18,17),(18,19),(19,14)],20)
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,1),(2,12),(3,8),(3,9),(4,3),(4,13),(4,14),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,19),(9,19),(11,17),(12,10),(13,8),(13,18),(14,9),(14,18),(15,13),(15,17),(16,14),(16,17),(17,18),(18,2),(18,19),(19,12)],20)
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,10),(3,8),(3,9),(4,3),(4,12),(4,13),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,18),(9,18),(10,1),(11,16),(12,8),(12,17),(13,9),(13,17),(14,12),(14,16),(15,13),(15,16),(16,17),(17,2),(17,18),(18,10)],19)
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>([(0,3),(0,4),(1,8),(2,8),(3,9),(4,9),(5,7),(6,5),(7,1),(7,2),(9,6)],10)
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,11),(3,13),(4,8),(4,9),(5,12),(5,15),(6,12),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(10,1),(10,2),(12,3),(12,16),(13,10),(14,8),(14,16),(15,9),(15,16),(16,13),(16,17),(17,10)],18)
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,12),(5,13),(5,14),(6,7),(7,2),(7,3),(7,4),(7,5),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,1),(18,19),(19,8)],20)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([(0,6),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,7),(7,2),(7,3),(7,4),(7,5),(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)],19)
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>([(0,3),(0,7),(2,11),(3,8),(4,1),(5,6),(5,10),(6,2),(6,9),(7,5),(7,8),(8,10),(9,11),(10,9),(11,4)],12)
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,4),(0,6),(1,8),(2,11),(2,14),(3,10),(3,14),(4,9),(5,7),(5,12),(6,5),(6,9),(7,2),(7,3),(7,13),(9,12),(10,15),(11,15),(12,13),(13,10),(13,11),(14,1),(14,15),(15,8)],16)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,3),(0,4),(0,7),(2,11),(2,12),(3,8),(3,10),(4,8),(4,9),(5,1),(6,2),(6,13),(6,14),(7,6),(7,9),(7,10),(8,15),(9,13),(9,15),(10,14),(10,15),(11,17),(12,17),(13,11),(13,16),(14,12),(14,16),(15,16),(16,17),(17,5)],18)
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9)
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,4),(0,6),(1,10),(2,9),(2,13),(3,9),(3,14),(4,8),(5,7),(5,12),(6,5),(6,8),(7,2),(7,3),(7,11),(8,12),(9,15),(11,13),(11,14),(12,11),(13,15),(14,1),(14,15),(15,10)],16)
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([(0,6),(1,10),(2,9),(2,11),(3,8),(3,11),(4,8),(4,9),(5,7),(6,5),(7,2),(7,3),(7,4),(8,12),(9,12),(11,1),(11,12),(12,10)],13)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,4),(0,5),(0,6),(0,7),(2,14),(3,14),(4,11),(4,12),(4,13),(5,9),(5,10),(5,13),(6,8),(6,10),(6,12),(7,8),(7,9),(7,11),(8,15),(8,18),(9,15),(9,16),(10,15),(10,17),(11,16),(11,18),(12,17),(12,18),(13,16),(13,17),(14,1),(15,19),(16,19),(17,19),(18,19),(19,2),(19,3)],20)
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,3),(2,4),(2,15),(3,9),(3,10),(4,8),(4,10),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(8,17),(9,17),(10,1),(10,17),(12,16),(13,16),(14,2),(14,16),(15,8),(15,9),(16,15),(17,11)],18)
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>([(0,3),(0,4),(0,5),(1,12),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(7,1),(7,11),(8,13),(9,13),(10,7),(10,13),(11,12),(12,6),(13,11)],14)
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>([(0,4),(0,5),(2,9),(3,9),(4,8),(5,8),(6,1),(7,2),(7,3),(8,7),(9,6)],10)
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,3),(2,4),(2,15),(3,8),(3,9),(4,8),(4,10),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(8,17),(9,17),(10,1),(10,17),(12,16),(13,16),(14,2),(14,16),(15,9),(15,10),(16,15),(17,11)],18)
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,11),(2,10),(2,12),(3,9),(3,12),(4,9),(4,10),(5,8),(6,8),(7,2),(7,3),(7,4),(8,7),(9,13),(10,13),(12,1),(12,13),(13,11)],14)
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>([(0,3),(0,4),(1,11),(2,10),(3,8),(4,8),(5,2),(5,9),(6,1),(6,9),(7,5),(7,6),(8,7),(9,10),(9,11),(10,12),(11,12)],13)
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,4),(1,14),(2,13),(3,12),(4,3),(4,15),(5,9),(5,10),(6,10),(6,11),(7,9),(7,11),(9,16),(10,16),(11,1),(11,16),(12,8),(13,8),(14,2),(14,15),(15,12),(15,13),(16,14)],17)
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>([(0,3),(0,4),(0,5),(2,10),(3,9),(3,11),(4,8),(4,11),(5,8),(5,9),(6,1),(7,6),(8,12),(9,12),(10,7),(11,2),(11,12),(12,10)],13)
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,12),(2,10),(3,1),(3,13),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(11,16),(12,10),(13,12),(14,8),(14,16),(15,9),(15,16),(16,3),(16,17),(17,13)],18)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>([(0,4),(0,5),(0,7),(1,12),(1,13),(3,14),(4,9),(4,10),(5,8),(5,10),(6,3),(6,11),(7,1),(7,8),(7,9),(8,12),(8,16),(9,13),(9,16),(10,16),(11,14),(12,15),(13,15),(14,2),(15,11),(16,6),(16,15)],17)
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,11),(3,4),(3,16),(4,14),(5,9),(5,10),(6,8),(6,9),(7,8),(7,10),(8,17),(9,1),(9,17),(10,3),(10,17),(12,13),(13,11),(14,2),(14,13),(15,12),(16,12),(16,14),(17,15),(17,16)],18)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>([(0,3),(0,4),(0,5),(1,13),(2,8),(3,9),(3,10),(4,10),(4,11),(5,9),(5,11),(6,2),(6,14),(7,6),(7,12),(8,13),(9,15),(10,15),(11,7),(11,15),(12,14),(14,1),(14,8),(15,12)],16)
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,3),(2,17),(3,14),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,19),(9,19),(11,2),(11,18),(12,10),(13,12),(14,1),(14,12),(15,8),(15,18),(16,9),(16,18),(17,13),(17,14),(18,17),(18,19),(19,13)],20)
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>([(0,4),(0,5),(1,10),(2,11),(3,8),(4,9),(5,9),(6,3),(6,11),(7,2),(7,6),(8,10),(9,7),(11,1),(11,8)],12)
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>([(0,4),(0,5),(0,6),(1,12),(2,14),(3,8),(4,9),(4,10),(5,10),(5,11),(6,9),(6,11),(7,2),(7,13),(8,12),(9,15),(10,15),(11,7),(11,15),(13,3),(13,14),(14,1),(14,8),(15,13)],16)
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,5),(0,6),(2,8),(2,11),(3,8),(3,10),(4,12),(5,9),(6,4),(6,9),(7,2),(7,3),(7,13),(8,14),(9,7),(9,12),(10,14),(11,14),(12,13),(13,10),(13,11),(14,1)],15)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,4),(2,15),(3,14),(4,13),(5,8),(5,9),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,2),(10,16),(12,11),(13,1),(13,12),(14,12),(15,13),(15,14),(16,3),(16,15)],17)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>([(0,4),(0,5),(0,6),(1,13),(2,8),(3,8),(4,9),(4,10),(5,10),(5,11),(6,9),(6,11),(7,1),(7,12),(9,14),(10,14),(11,7),(11,14),(12,13),(13,2),(13,3),(14,12)],15)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,10),(2,10),(3,8),(4,8),(5,9),(6,9),(7,1),(7,2),(9,7),(10,3),(10,4)],11)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>([(0,5),(0,6),(0,7),(1,12),(2,14),(2,16),(3,4),(3,15),(3,16),(4,8),(4,11),(5,9),(5,10),(6,10),(6,13),(7,9),(7,13),(8,18),(9,19),(10,19),(11,1),(11,18),(13,2),(13,3),(13,19),(14,17),(15,11),(15,17),(16,8),(16,17),(17,18),(18,12),(19,14),(19,15)],20)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,11),(1,13),(2,10),(2,13),(3,9),(4,8),(5,12),(6,12),(7,1),(7,2),(7,8),(8,10),(8,11),(10,14),(11,14),(12,4),(12,7),(13,3),(13,14),(14,9)],15)
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(2,13),(3,11),(3,12),(4,10),(4,12),(5,9),(5,14),(6,8),(6,14),(7,8),(7,9),(8,16),(9,16),(10,15),(11,15),(12,2),(12,15),(13,1),(14,3),(14,4),(14,16),(15,13),(16,10),(16,11)],17)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>([(0,4),(0,5),(2,11),(3,10),(4,8),(5,8),(6,3),(6,9),(7,2),(7,9),(8,6),(8,7),(9,10),(9,11),(10,12),(11,12),(12,1)],13)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,5),(0,6),(1,8),(3,11),(4,9),(5,10),(6,10),(7,1),(7,11),(8,9),(9,2),(10,3),(10,7),(11,4),(11,8)],12)
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,6),(0,7),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,1),(9,2),(9,3),(10,4),(10,5)],11)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,5),(0,6),(0,7),(2,13),(2,15),(3,4),(3,14),(3,15),(4,8),(4,11),(5,9),(5,10),(6,10),(6,12),(7,9),(7,12),(8,17),(9,18),(10,18),(11,17),(12,2),(12,3),(12,18),(13,16),(14,11),(14,16),(15,8),(15,16),(16,17),(17,1),(18,13),(18,14)],19)
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,5),(0,6),(2,8),(3,9),(3,11),(4,9),(4,10),(5,12),(6,12),(7,3),(7,4),(7,8),(8,10),(8,11),(9,13),(10,13),(11,13),(12,2),(12,7),(13,1)],14)
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,8),(2,11),(2,14),(3,10),(3,14),(4,12),(5,9),(6,4),(6,9),(7,2),(7,3),(7,13),(9,7),(9,12),(10,15),(11,15),(12,13),(13,10),(13,11),(14,1),(14,15),(15,8)],16)
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,3),(0,4),(0,7),(1,11),(1,12),(3,9),(3,10),(4,8),(4,10),(5,2),(6,5),(7,1),(7,8),(7,9),(8,11),(8,14),(9,12),(9,14),(10,14),(11,13),(12,13),(13,6),(14,13)],15)
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>([(0,3),(0,4),(0,5),(2,13),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(6,12),(7,6),(7,11),(8,14),(9,14),(10,7),(10,14),(11,12),(12,13),(13,1),(14,11)],15)
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>([(0,5),(0,6),(0,7),(2,3),(2,16),(3,12),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,18),(9,18),(10,1),(11,2),(11,17),(12,10),(13,10),(14,8),(14,17),(15,9),(15,17),(16,12),(16,13),(17,16),(17,18),(18,13)],19)
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>([(0,4),(0,5),(2,10),(3,9),(4,8),(5,8),(6,2),(6,9),(7,3),(7,6),(8,7),(9,10),(10,1)],11)
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,4),(0,5),(0,6),(2,13),(3,8),(4,9),(4,10),(5,10),(5,11),(6,9),(6,11),(7,3),(7,12),(8,13),(9,14),(10,14),(11,7),(11,14),(12,2),(12,8),(13,1),(14,12)],15)
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,4),(0,5),(0,7),(1,12),(1,13),(3,14),(4,8),(4,10),(5,9),(5,10),(6,3),(6,11),(7,1),(7,8),(7,9),(8,13),(8,16),(9,12),(9,16),(10,16),(11,14),(12,15),(13,6),(13,15),(14,2),(15,11),(16,15)],17)
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,5),(0,6),(2,10),(3,10),(4,9),(5,8),(6,4),(6,8),(7,2),(7,3),(8,9),(9,7),(10,1)],11)
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,15),(3,11),(4,12),(5,2),(5,12),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,16),(11,14),(12,1),(12,15),(13,6),(13,7),(13,14),(14,8),(14,9),(15,11),(15,13)],17)
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,6),(0,7),(1,13),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,2),(7,12),(8,13),(9,14),(10,14),(11,14),(12,1),(12,8),(13,3),(13,4),(13,5)],15)
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>([(0,4),(0,7),(1,9),(2,11),(3,10),(4,14),(5,3),(5,8),(6,1),(6,12),(7,5),(7,14),(8,10),(8,11),(10,13),(11,6),(11,13),(12,9),(13,12),(14,2),(14,8)],15)
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,16),(3,13),(4,11),(5,12),(6,1),(6,12),(7,9),(7,10),(8,17),(9,17),(10,17),(11,14),(12,2),(12,15),(13,8),(13,9),(14,8),(14,10),(15,11),(15,16),(16,7),(16,13),(16,14)],18)
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>([(0,5),(0,7),(1,11),(2,10),(2,13),(3,10),(3,12),(4,8),(5,9),(6,4),(6,14),(7,1),(7,9),(8,12),(8,13),(9,6),(9,11),(10,15),(11,14),(12,15),(13,15),(14,2),(14,3),(14,8)],16)
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,14),(2,8),(3,9),(3,10),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(9,18),(10,1),(10,18),(11,17),(12,19),(13,10),(13,17),(14,8),(15,11),(15,19),(16,3),(16,13),(16,19),(17,18),(18,14),(19,9),(19,17)],20)
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,10),(2,8),(3,8),(4,9),(5,11),(6,4),(6,11),(7,2),(7,3),(9,10),(10,7),(11,1),(11,9)],12)
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>([(0,4),(0,5),(1,3),(1,16),(2,6),(2,7),(2,17),(3,11),(4,14),(5,1),(5,14),(6,10),(6,13),(7,10),(7,12),(8,19),(9,19),(10,18),(11,15),(12,8),(12,18),(13,9),(13,18),(14,2),(14,16),(15,8),(15,9),(16,11),(16,17),(17,12),(17,13),(17,15),(18,19)],20)
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>([(0,3),(0,4),(1,14),(2,6),(2,7),(2,15),(3,13),(4,1),(4,13),(5,8),(5,9),(6,10),(6,12),(7,10),(7,11),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,2),(13,14),(14,15),(15,5),(15,11),(15,12),(16,17)],18)
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>([(0,4),(0,7),(2,9),(3,10),(4,12),(5,3),(5,8),(6,1),(7,5),(7,12),(8,9),(8,10),(9,11),(10,11),(11,6),(12,2),(12,8)],13)
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>([(0,6),(0,7),(1,5),(1,14),(2,3),(2,16),(3,13),(4,12),(5,4),(5,17),(6,9),(7,1),(7,9),(9,2),(9,14),(10,8),(11,8),(12,11),(13,10),(14,16),(14,17),(15,10),(15,11),(16,13),(16,15),(17,12),(17,15)],18)
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,4),(0,7),(1,11),(2,10),(3,9),(4,8),(5,3),(5,12),(6,2),(6,13),(7,1),(7,8),(8,6),(8,11),(10,12),(11,13),(12,9),(13,5),(13,10)],14)
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>([(0,6),(0,7),(1,4),(1,15),(2,5),(2,14),(3,8),(4,10),(5,9),(6,12),(7,2),(7,12),(9,13),(10,11),(11,8),(12,1),(12,14),(13,3),(13,11),(14,9),(14,15),(15,10),(15,13)],16)
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>([(0,4),(0,5),(1,14),(2,3),(2,16),(3,6),(3,7),(3,17),(4,13),(5,2),(5,13),(6,10),(6,12),(7,10),(7,11),(8,19),(9,19),(10,18),(11,8),(11,18),(12,9),(12,18),(13,1),(13,16),(14,15),(15,8),(15,9),(16,14),(16,17),(17,11),(17,12),(17,15),(18,19)],20)
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>([(0,6),(0,7),(1,5),(1,15),(2,13),(3,8),(4,9),(5,4),(5,14),(6,11),(7,1),(7,11),(9,10),(10,8),(11,2),(11,15),(12,3),(12,10),(13,12),(14,9),(14,12),(15,13),(15,14)],16)
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,5),(0,7),(1,10),(2,11),(3,8),(4,8),(5,12),(6,2),(6,9),(7,6),(7,12),(9,10),(9,11),(10,13),(11,13),(12,1),(12,9),(13,3),(13,4)],14)
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,15),(2,8),(3,10),(3,11),(4,9),(4,11),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(9,16),(10,16),(11,1),(11,16),(12,17),(13,17),(14,3),(14,4),(14,17),(15,8),(16,15),(17,9),(17,10)],18)
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,14),(1,16),(2,13),(2,16),(3,12),(3,15),(4,11),(4,15),(5,9),(5,10),(6,8),(6,10),(7,8),(7,9),(8,19),(9,19),(10,1),(10,2),(10,19),(11,17),(12,17),(13,18),(14,18),(15,17),(16,3),(16,4),(16,18),(18,11),(18,12),(19,13),(19,14)],20)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,4),(0,5),(1,3),(1,15),(2,6),(2,7),(2,15),(3,14),(4,11),(5,11),(6,10),(6,13),(7,10),(7,12),(8,17),(9,17),(10,16),(11,1),(11,2),(12,8),(12,16),(13,9),(13,16),(14,8),(14,9),(15,12),(15,13),(15,14),(16,17)],18)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,11),(1,12),(2,14),(3,8),(3,10),(4,8),(4,9),(5,13),(6,13),(7,3),(7,4),(7,14),(8,16),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,2),(13,7),(14,1),(14,9),(14,10),(16,15)],17)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>([(0,4),(0,5),(1,11),(1,12),(2,9),(3,8),(4,10),(5,10),(6,3),(6,14),(7,2),(7,14),(8,11),(8,13),(9,12),(9,13),(10,6),(10,7),(11,15),(12,15),(13,15),(14,1),(14,8),(14,9)],16)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,13),(2,9),(2,11),(3,9),(3,10),(4,8),(5,12),(6,12),(7,4),(7,13),(8,10),(8,11),(9,14),(10,14),(11,14),(12,1),(12,7),(13,2),(13,3),(13,8)],15)
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,6),(0,7),(1,12),(2,12),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,11),(7,11),(8,13),(9,13),(10,13),(11,1),(11,2),(12,3),(12,4),(12,5)],14)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,16),(3,10),(3,15),(4,10),(4,14),(5,12),(5,13),(6,11),(6,12),(7,11),(7,13),(8,19),(9,19),(10,18),(11,17),(12,3),(12,4),(12,17),(13,2),(13,17),(14,8),(14,18),(15,9),(15,18),(16,8),(16,9),(17,14),(17,15),(17,16),(18,19),(19,1)],20)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,11),(2,12),(3,13),(3,15),(4,13),(4,14),(5,8),(5,9),(6,9),(6,10),(7,8),(7,10),(8,18),(9,18),(10,3),(10,4),(10,18),(11,17),(12,17),(13,16),(14,11),(14,16),(15,12),(15,16),(16,17),(17,1),(18,2),(18,14),(18,15)],19)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,12),(2,13),(3,14),(3,15),(4,14),(4,16),(5,8),(5,9),(6,9),(6,11),(7,8),(7,11),(8,18),(9,18),(11,3),(11,4),(11,18),(12,19),(13,1),(13,19),(14,17),(15,13),(15,17),(16,12),(16,17),(17,19),(18,2),(18,15),(18,16),(19,10)],20)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,3),(0,4),(1,10),(2,11),(3,8),(4,8),(5,1),(5,12),(6,2),(6,9),(7,5),(7,9),(8,6),(8,7),(9,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>([(0,4),(0,5),(1,13),(2,9),(3,10),(4,12),(5,12),(6,7),(6,13),(7,3),(7,8),(8,9),(8,10),(9,11),(10,11),(12,1),(12,6),(13,2),(13,8)],14)
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,10),(2,10),(3,9),(4,8),(5,11),(6,11),(7,3),(7,8),(8,9),(10,4),(10,7),(11,1),(11,2)],12)
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,12),(2,9),(3,8),(4,11),(5,10),(6,10),(7,1),(7,11),(9,8),(10,4),(10,7),(11,2),(11,12),(12,3),(12,9)],13)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,4),(0,5),(1,8),(2,9),(3,10),(4,12),(5,12),(6,3),(6,8),(7,2),(7,11),(8,7),(8,10),(10,11),(11,9),(12,1),(12,6)],13)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>([(0,4),(0,5),(1,13),(2,10),(3,11),(4,8),(5,8),(6,3),(6,9),(7,1),(7,9),(8,6),(8,7),(9,11),(9,13),(11,12),(12,10),(13,2),(13,12)],14)
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,5),(0,6),(0,7),(1,12),(2,14),(2,16),(3,4),(3,15),(3,16),(4,10),(4,11),(5,8),(5,9),(6,9),(6,13),(7,8),(7,13),(8,19),(9,19),(10,18),(11,1),(11,18),(13,2),(13,3),(13,19),(14,17),(15,10),(15,17),(16,11),(16,17),(17,18),(18,12),(19,14),(19,15)],20)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,4),(0,5),(0,6),(2,8),(2,12),(3,8),(3,11),(4,10),(4,13),(5,9),(5,13),(6,9),(6,10),(7,1),(8,15),(9,14),(10,14),(11,15),(12,15),(13,2),(13,3),(13,14),(14,11),(14,12),(15,7)],16)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>([(0,5),(0,6),(0,7),(1,12),(2,14),(2,16),(3,4),(3,15),(3,16),(4,8),(4,11),(5,9),(5,10),(6,10),(6,13),(7,9),(7,13),(8,18),(9,19),(10,19),(11,18),(13,2),(13,3),(13,19),(14,17),(15,11),(15,17),(16,8),(16,17),(17,1),(17,18),(18,12),(19,14),(19,15)],20)
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,15),(2,8),(3,9),(3,10),(4,9),(4,11),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(9,16),(10,16),(11,1),(11,16),(12,17),(13,17),(14,3),(14,4),(14,17),(15,8),(16,15),(17,10),(17,11)],18)
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([(0,5),(0,6),(0,7),(2,13),(3,11),(3,12),(4,10),(4,11),(5,9),(5,14),(6,8),(6,14),(7,8),(7,9),(8,16),(9,16),(10,15),(11,15),(12,2),(12,15),(13,1),(14,3),(14,4),(14,16),(15,13),(16,10),(16,12)],17)
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>([(0,4),(0,5),(1,9),(2,8),(2,12),(3,10),(3,11),(4,14),(5,14),(6,3),(6,8),(6,13),(7,2),(7,6),(7,9),(8,11),(8,15),(9,12),(9,13),(10,16),(11,16),(12,15),(13,10),(13,15),(14,1),(14,7),(15,16)],17)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>([(0,5),(0,6),(1,10),(2,8),(3,9),(3,13),(4,9),(4,11),(5,12),(6,12),(7,3),(7,4),(7,8),(8,11),(8,13),(9,14),(11,14),(12,2),(12,7),(13,1),(13,14),(14,10)],15)
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,16),(3,10),(3,11),(4,9),(4,10),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(9,17),(10,1),(10,17),(11,2),(11,17),(12,18),(13,18),(14,3),(14,4),(14,18),(15,8),(16,8),(17,15),(17,16),(18,9),(18,11)],19)
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,8),(3,10),(3,11),(4,9),(4,11),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(9,16),(10,16),(11,1),(11,16),(12,17),(13,17),(14,3),(14,4),(14,17),(15,8),(16,2),(16,15),(17,9),(17,10)],18)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,13),(3,4),(3,15),(4,12),(5,9),(5,10),(6,10),(6,11),(7,9),(7,11),(9,16),(10,16),(11,1),(11,16),(12,8),(13,8),(14,2),(14,15),(15,12),(15,13),(16,3),(16,14)],17)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>([(0,4),(0,5),(0,6),(1,11),(2,12),(3,10),(4,9),(4,14),(5,8),(5,14),(6,8),(6,9),(7,1),(7,13),(8,15),(9,15),(10,7),(10,12),(12,13),(13,11),(14,3),(14,15),(15,2),(15,10)],16)
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,13),(3,12),(4,8),(5,10),(5,11),(6,9),(6,11),(7,9),(7,10),(8,13),(9,14),(10,14),(11,3),(11,14),(12,1),(12,8),(13,2),(14,4),(14,12)],15)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,16),(2,14),(3,15),(4,8),(4,9),(5,12),(5,13),(6,11),(6,13),(7,11),(7,12),(8,17),(9,17),(10,17),(11,18),(12,18),(13,1),(13,18),(14,8),(14,10),(15,9),(15,10),(16,4),(16,14),(16,15),(18,3),(18,16)],19)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,13),(3,14),(4,8),(5,10),(5,12),(6,9),(6,12),(7,9),(7,10),(8,11),(9,15),(10,15),(12,2),(12,15),(13,4),(13,14),(14,1),(14,8),(15,3),(15,13)],16)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,12),(2,13),(3,11),(3,14),(4,10),(4,14),(5,9),(5,16),(6,9),(6,15),(7,2),(7,15),(7,16),(9,17),(10,18),(11,18),(12,19),(13,19),(14,1),(14,18),(15,12),(15,17),(16,13),(16,17),(17,3),(17,4),(17,19),(18,8),(19,10),(19,11)],20)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,11),(2,12),(3,10),(3,14),(4,13),(4,14),(5,9),(5,16),(6,9),(6,15),(7,2),(7,15),(7,16),(9,17),(10,18),(11,19),(12,19),(13,1),(13,18),(14,18),(15,11),(15,17),(16,12),(16,17),(17,3),(17,4),(17,19),(18,8),(19,10),(19,13)],20)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,9),(2,10),(3,12),(3,13),(4,11),(4,13),(5,8),(5,15),(6,8),(6,14),(7,2),(7,14),(7,15),(8,17),(9,18),(10,18),(11,16),(12,16),(13,16),(14,9),(14,17),(15,10),(15,17),(16,1),(17,3),(17,4),(17,18),(18,11),(18,12)],19)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,12),(2,13),(3,1),(3,16),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,18),(9,18),(11,17),(12,10),(13,10),(14,8),(14,17),(15,9),(15,17),(16,12),(16,13),(17,3),(17,18),(18,2),(18,16)],19)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(2,12),(2,13),(3,14),(4,11),(5,8),(5,10),(6,8),(6,9),(7,2),(7,9),(7,10),(8,16),(9,12),(9,16),(10,13),(10,16),(11,14),(12,15),(13,15),(14,1),(15,3),(15,11),(16,4),(16,15)],17)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,13),(3,1),(3,12),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(11,16),(12,10),(13,12),(14,8),(14,16),(15,9),(15,16),(16,2),(16,17),(17,3),(17,13)],18)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,16),(3,10),(3,11),(4,8),(4,9),(5,13),(5,15),(6,13),(6,14),(7,4),(7,14),(7,15),(8,19),(9,19),(10,18),(11,18),(12,18),(13,2),(13,17),(14,8),(14,17),(15,9),(15,17),(16,11),(16,12),(17,3),(17,16),(17,19),(18,1),(19,10),(19,12)],20)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,13),(3,12),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(11,16),(12,10),(13,1),(13,12),(14,8),(14,16),(15,9),(15,16),(16,2),(16,17),(17,3),(17,13)],18)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>([(0,4),(0,5),(1,9),(2,8),(2,11),(3,8),(3,10),(4,13),(5,13),(6,7),(6,9),(7,2),(7,3),(7,12),(8,14),(9,12),(10,14),(11,14),(12,10),(12,11),(13,1),(13,6)],15)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,10),(6,10),(7,3),(7,4),(9,7),(10,1),(10,2)],11)
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>([(0,4),(0,5),(1,10),(2,8),(3,9),(4,11),(5,11),(6,3),(6,12),(7,6),(7,8),(8,12),(9,10),(11,2),(11,7),(12,1),(12,9)],13)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>([(0,5),(0,6),(1,11),(2,8),(3,8),(4,9),(5,10),(6,10),(7,1),(7,9),(9,11),(10,4),(10,7),(11,2),(11,3)],12)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,13),(1,16),(2,14),(2,16),(3,12),(3,15),(4,11),(4,15),(5,9),(5,10),(6,8),(6,10),(7,8),(7,9),(8,19),(9,19),(10,1),(10,2),(10,19),(11,17),(12,17),(13,18),(14,3),(14,4),(14,18),(15,17),(16,18),(18,11),(18,12),(19,13),(19,14)],20)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,16),(2,15),(3,9),(3,10),(4,9),(4,11),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(9,17),(10,2),(10,17),(11,1),(11,17),(12,18),(13,18),(14,3),(14,4),(14,18),(15,8),(16,8),(17,15),(17,16),(18,10),(18,11)],19)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,8),(3,9),(3,10),(4,9),(4,11),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(9,16),(10,16),(11,1),(11,16),(12,17),(13,17),(14,3),(14,4),(14,17),(15,8),(16,2),(16,15),(17,10),(17,11)],18)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(3,13),(4,9),(4,12),(5,11),(5,14),(6,10),(6,14),(7,10),(7,11),(9,16),(10,15),(11,15),(12,16),(13,16),(14,3),(14,4),(14,15),(15,12),(15,13),(16,1),(16,2)],17)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,15),(3,8),(3,10),(4,8),(4,9),(5,12),(5,13),(6,11),(6,13),(7,11),(7,12),(8,16),(9,16),(10,16),(11,17),(12,17),(13,1),(13,17),(14,3),(14,4),(14,15),(15,9),(15,10),(17,2),(17,14)],18)
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>([(0,1),(0,2),(1,16),(2,3),(2,6),(2,16),(3,12),(3,15),(4,11),(4,13),(5,10),(5,13),(6,7),(6,14),(6,15),(7,8),(7,9),(8,19),(9,4),(9,5),(9,19),(10,17),(11,17),(12,18),(13,17),(14,9),(14,18),(15,8),(15,18),(16,12),(16,14),(18,19),(19,10),(19,11)],20)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>([(0,7),(1,13),(1,14),(2,12),(2,14),(3,9),(4,8),(4,11),(5,8),(5,10),(6,1),(6,2),(6,9),(7,3),(7,6),(8,16),(9,12),(9,13),(10,16),(11,16),(12,15),(13,15),(14,4),(14,5),(14,15),(15,10),(15,11)],17)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>([(0,7),(1,11),(2,10),(3,8),(4,8),(5,2),(5,9),(6,1),(6,9),(7,5),(7,6),(9,10),(9,11),(10,12),(11,12),(12,3),(12,4)],13)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,5),(0,6),(0,7),(1,13),(2,14),(3,12),(4,9),(4,10),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(9,18),(10,18),(11,2),(11,19),(12,8),(13,8),(14,1),(14,17),(15,9),(15,19),(16,10),(16,19),(17,12),(17,13),(18,3),(18,17),(19,14),(19,18)],20)
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,5),(0,7),(1,8),(2,8),(3,9),(3,13),(4,11),(4,12),(5,10),(6,4),(6,9),(6,14),(7,3),(7,6),(7,10),(9,12),(9,15),(10,13),(10,14),(11,16),(12,16),(13,15),(14,11),(14,15),(15,16),(16,1),(16,2)],17)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,7),(1,9),(2,10),(2,12),(3,10),(3,11),(4,8),(5,8),(6,2),(6,3),(6,9),(7,1),(7,6),(9,11),(9,12),(10,13),(11,13),(12,13),(13,4),(13,5)],14)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>([(0,3),(0,4),(1,14),(2,11),(3,15),(4,5),(4,6),(4,15),(5,9),(5,13),(6,7),(6,12),(6,13),(7,8),(7,10),(8,17),(9,16),(10,1),(10,17),(12,10),(12,16),(13,8),(13,16),(14,11),(15,9),(15,12),(16,17),(17,2),(17,14)],18)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([(0,7),(1,9),(2,8),(3,12),(3,13),(4,11),(4,13),(5,10),(6,3),(6,4),(6,9),(7,1),(7,6),(8,10),(9,11),(9,12),(11,14),(12,14),(13,2),(13,14),(14,5),(14,8)],15)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,14),(3,1),(3,12),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,18),(11,2),(11,17),(12,10),(13,12),(14,13),(15,8),(15,17),(16,9),(16,17),(17,14),(17,18),(18,3),(18,13)],19)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,13),(3,10),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,17),(9,17),(10,1),(11,2),(11,16),(12,10),(13,12),(14,8),(14,16),(15,9),(15,16),(16,13),(16,17),(17,3),(17,12)],18)
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,4),(0,5),(0,7),(1,13),(1,14),(2,12),(3,8),(4,10),(4,11),(5,9),(5,11),(6,2),(6,8),(7,1),(7,9),(7,10),(8,12),(9,13),(9,15),(10,14),(10,15),(11,15),(13,16),(14,16),(15,16),(16,3),(16,6)],17)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,13),(2,13),(4,11),(4,12),(5,8),(5,10),(6,8),(6,9),(7,4),(7,9),(7,10),(8,14),(9,11),(9,14),(10,12),(10,14),(11,15),(12,15),(13,3),(14,15),(15,1),(15,2)],16)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>([(0,3),(0,4),(1,8),(2,9),(3,12),(4,12),(5,6),(5,8),(6,7),(6,11),(7,2),(7,10),(8,11),(10,9),(11,10),(12,1),(12,5)],13)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>([(0,4),(0,5),(2,8),(3,8),(4,9),(5,9),(6,1),(7,6),(8,7),(9,2),(9,3)],10)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>([(0,4),(0,5),(2,9),(3,8),(4,10),(5,10),(6,2),(6,8),(7,1),(8,9),(9,7),(10,3),(10,6)],11)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>([(0,4),(0,5),(2,10),(3,8),(4,11),(5,11),(6,2),(6,9),(7,6),(7,8),(8,9),(9,10),(10,1),(11,3),(11,7)],12)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,2),(0,3),(1,6),(1,7),(1,15),(2,14),(3,1),(3,14),(4,10),(4,13),(5,9),(5,13),(6,8),(6,12),(7,11),(7,12),(8,17),(9,16),(10,16),(11,4),(11,5),(11,17),(12,17),(13,16),(14,15),(15,8),(15,11),(17,9),(17,10)],18)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,10),(1,13),(2,9),(2,13),(3,8),(3,12),(4,8),(4,11),(5,9),(5,10),(6,7),(7,1),(7,2),(7,5),(8,15),(9,14),(10,14),(11,15),(12,15),(13,3),(13,4),(13,14),(14,11),(14,12)],16)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,14),(3,12),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,18),(11,2),(11,17),(12,10),(13,1),(13,12),(14,13),(15,8),(15,17),(16,9),(16,17),(17,14),(17,18),(18,3),(18,13)],19)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,12),(3,8),(3,9),(4,3),(4,13),(4,14),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,19),(9,19),(11,17),(12,10),(13,8),(13,18),(14,9),(14,18),(15,13),(15,17),(16,14),(16,17),(17,18),(18,2),(18,19),(19,1),(19,12)],20)
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,5),(0,6),(1,11),(2,10),(3,9),(3,13),(4,9),(4,14),(5,8),(6,7),(6,8),(7,3),(7,4),(7,12),(8,12),(9,15),(10,11),(12,13),(12,14),(13,15),(14,2),(14,15),(15,1),(15,10)],16)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,11),(2,10),(3,9),(3,12),(4,8),(4,12),(5,8),(5,9),(6,7),(7,3),(7,4),(7,5),(8,13),(9,13),(10,11),(12,2),(12,13),(13,1),(13,10)],14)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(3,10),(4,3),(4,12),(4,13),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(9,17),(10,17),(11,16),(12,9),(12,18),(13,10),(13,18),(14,12),(14,16),(15,13),(15,16),(16,18),(17,1),(17,2),(18,17)],19)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,5),(0,6),(1,10),(1,13),(2,10),(2,12),(3,8),(4,8),(5,9),(6,7),(6,9),(7,1),(7,2),(7,11),(9,11),(10,14),(11,12),(11,13),(12,14),(13,14),(14,3),(14,4)],15)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,8),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,7),(7,3),(7,4),(7,5),(9,12),(10,12),(11,12),(12,1),(12,2)],13)
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,16),(2,6),(2,7),(2,16),(3,10),(3,12),(4,9),(4,12),(5,8),(5,11),(6,13),(6,14),(7,13),(7,15),(8,19),(9,17),(10,17),(11,3),(11,4),(11,19),(12,17),(13,18),(14,8),(14,18),(15,11),(15,18),(16,5),(16,14),(16,15),(18,19),(19,9),(19,10)],20)
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,8),(3,15),(4,6),(4,7),(4,15),(5,9),(5,11),(6,10),(6,12),(7,10),(7,13),(9,17),(10,16),(11,1),(11,17),(12,9),(12,16),(13,11),(13,16),(14,8),(15,5),(15,12),(15,13),(16,17),(17,14)],18)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,5),(0,7),(1,11),(1,12),(3,8),(3,10),(4,8),(4,9),(5,13),(6,2),(7,3),(7,4),(7,13),(8,15),(9,11),(9,15),(10,12),(10,15),(11,14),(12,14),(13,1),(13,9),(13,10),(14,6),(15,14)],16)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,4),(3,5),(3,16),(4,11),(4,15),(5,11),(5,14),(6,7),(6,12),(6,13),(7,9),(7,10),(9,19),(10,19),(11,17),(12,9),(12,18),(13,10),(13,18),(14,12),(14,17),(15,13),(15,17),(16,6),(16,14),(16,15),(17,18),(18,1),(18,19),(19,8)],20)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>([(0,3),(0,4),(1,2),(1,17),(2,12),(3,16),(4,6),(4,7),(4,16),(5,9),(5,10),(6,11),(6,14),(7,11),(7,13),(9,19),(10,19),(11,1),(11,18),(12,8),(13,9),(13,18),(14,10),(14,18),(15,8),(16,5),(16,13),(16,14),(17,12),(17,15),(18,17),(18,19),(19,15)],20)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>([(0,3),(0,4),(2,14),(3,15),(4,6),(4,7),(4,15),(5,8),(5,9),(6,11),(6,13),(7,11),(7,12),(8,17),(9,17),(10,1),(11,2),(11,16),(12,8),(12,16),(13,9),(13,16),(14,10),(15,5),(15,12),(15,13),(16,14),(16,17),(17,10)],18)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>([(0,3),(0,4),(1,16),(2,15),(3,17),(4,5),(4,6),(4,17),(5,11),(5,13),(6,11),(6,14),(7,9),(7,10),(9,19),(10,2),(10,19),(11,1),(11,18),(12,8),(13,9),(13,18),(14,10),(14,18),(15,8),(16,12),(17,7),(17,13),(17,14),(18,16),(18,19),(19,12),(19,15)],20)
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(1,14),(2,11),(3,15),(4,6),(4,7),(4,15),(5,8),(5,10),(6,9),(6,12),(7,9),(7,13),(8,17),(9,16),(10,1),(10,17),(12,8),(12,16),(13,10),(13,16),(14,11),(15,5),(15,12),(15,13),(16,17),(17,2),(17,14)],18)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,4),(1,15),(2,11),(3,16),(4,6),(4,7),(4,16),(5,8),(5,9),(6,10),(6,14),(7,10),(7,13),(8,18),(9,18),(10,1),(10,17),(12,11),(13,8),(13,17),(14,9),(14,17),(15,12),(16,5),(16,13),(16,14),(17,15),(17,18),(18,2),(18,12)],19)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(0,7),(1,12),(1,13),(2,8),(3,8),(4,9),(4,11),(5,9),(5,10),(6,14),(7,4),(7,5),(7,14),(9,15),(10,12),(10,15),(11,13),(11,15),(12,16),(13,16),(14,1),(14,10),(14,11),(15,16),(16,2),(16,3)],17)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>([(0,3),(0,4),(1,15),(2,14),(3,16),(4,6),(4,7),(4,16),(5,10),(5,11),(6,9),(6,12),(7,9),(7,13),(9,17),(10,2),(10,18),(11,1),(11,18),(12,10),(12,17),(13,11),(13,17),(14,8),(15,8),(16,5),(16,12),(16,13),(17,18),(18,14),(18,15)],19)
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>([(0,7),(1,12),(2,13),(2,14),(3,8),(3,9),(4,8),(4,10),(5,2),(5,9),(5,10),(6,1),(6,11),(7,3),(7,4),(7,5),(8,16),(9,14),(9,16),(10,13),(10,16),(11,12),(13,15),(14,6),(14,15),(15,11),(16,15)],17)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,7),(1,11),(1,12),(3,8),(3,10),(4,8),(4,9),(5,2),(6,1),(6,9),(6,10),(7,3),(7,4),(7,6),(8,14),(9,11),(9,14),(10,12),(10,14),(11,13),(12,13),(13,5),(14,13)],15)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([(0,5),(0,7),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,8),(6,1),(7,2),(7,3),(7,4),(7,8),(8,12),(8,13),(8,14),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,19),(19,6)],20)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,7),(1,12),(3,11),(3,13),(4,8),(4,9),(5,8),(5,10),(6,3),(6,9),(6,10),(7,4),(7,5),(7,6),(8,15),(9,13),(9,15),(10,11),(10,15),(11,14),(12,2),(13,1),(13,14),(14,12),(15,14)],16)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,9),(3,10),(3,11),(4,12),(4,15),(5,12),(5,14),(6,7),(6,14),(6,15),(7,8),(7,13),(8,16),(10,17),(11,17),(12,18),(13,10),(13,16),(14,8),(14,18),(15,3),(15,13),(15,18),(16,2),(16,17),(17,9),(18,11),(18,16)],19)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,14),(3,10),(3,11),(4,12),(4,16),(5,12),(5,15),(6,7),(6,15),(6,16),(7,8),(7,13),(8,2),(8,17),(10,19),(11,19),(12,18),(13,10),(13,17),(14,9),(15,8),(15,18),(16,3),(16,13),(16,18),(17,14),(17,19),(18,11),(18,17),(19,9)],20)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,7),(2,9),(2,12),(3,8),(3,14),(4,11),(4,13),(5,8),(5,10),(6,4),(6,10),(6,14),(7,3),(7,5),(7,6),(8,16),(9,17),(10,13),(10,16),(11,12),(11,15),(12,17),(13,15),(14,2),(14,11),(14,16),(15,17),(16,9),(16,15),(17,1)],18)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>([(0,7),(2,12),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(6,11),(7,3),(7,4),(7,5),(8,13),(9,13),(10,6),(10,13),(11,12),(12,1),(13,11)],14)
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>([(0,1),(1,3),(1,4),(1,5),(2,10),(3,7),(3,14),(3,15),(4,11),(4,14),(5,11),(5,15),(6,8),(6,9),(7,6),(7,12),(7,13),(8,18),(9,2),(9,18),(11,16),(12,8),(12,17),(13,9),(13,17),(14,12),(14,16),(15,13),(15,16),(16,17),(17,18),(18,10)],19)
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,9),(3,10),(3,11),(4,12),(4,15),(5,12),(5,14),(6,7),(6,14),(6,15),(7,8),(7,13),(8,16),(10,2),(10,17),(11,17),(12,18),(13,10),(13,16),(14,8),(14,18),(15,3),(15,13),(15,18),(16,17),(17,9),(18,11),(18,16)],19)
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,13),(3,10),(4,11),(4,15),(5,11),(5,14),(6,7),(6,14),(6,15),(7,8),(7,9),(8,17),(9,17),(11,2),(11,16),(12,10),(13,12),(14,8),(14,16),(15,9),(15,16),(16,13),(16,17),(17,3),(17,12)],18)
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,7),(1,13),(1,14),(2,12),(3,11),(4,8),(4,10),(5,8),(5,9),(6,1),(6,9),(6,10),(7,4),(7,5),(7,6),(8,16),(9,13),(9,16),(10,14),(10,16),(11,12),(13,15),(14,15),(15,2),(15,11),(16,3),(16,15)],17)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,13),(3,14),(4,11),(4,16),(5,11),(5,15),(6,7),(6,15),(6,16),(7,9),(7,10),(9,18),(10,2),(10,18),(11,3),(11,17),(12,8),(13,8),(14,12),(15,10),(15,17),(16,9),(16,17),(17,14),(17,18),(18,12),(18,13)],19)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,13),(3,12),(4,11),(4,14),(5,11),(5,15),(6,7),(6,14),(6,15),(7,8),(7,10),(8,17),(10,2),(10,17),(11,16),(12,9),(13,9),(14,8),(14,16),(15,10),(15,16),(16,3),(16,17),(17,12),(17,13)],18)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,15),(3,2),(3,16),(4,6),(4,7),(4,16),(5,9),(5,10),(6,8),(6,12),(7,8),(7,11),(8,17),(9,18),(10,18),(11,13),(11,17),(12,14),(12,17),(13,9),(13,19),(14,10),(14,19),(15,5),(15,13),(15,14),(16,11),(16,12),(16,15),(17,19),(18,1),(19,18)],20)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,7),(2,8),(2,10),(3,8),(3,9),(4,11),(4,12),(5,6),(5,9),(5,10),(6,4),(6,13),(6,14),(7,2),(7,3),(7,5),(8,15),(9,13),(9,15),(10,14),(10,15),(11,17),(12,17),(13,11),(13,16),(14,12),(14,16),(15,16),(16,17),(17,1)],18)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,1),(1,3),(1,4),(1,5),(2,14),(3,11),(3,16),(4,11),(4,15),(5,6),(5,15),(5,16),(6,7),(6,12),(6,13),(7,8),(7,9),(8,17),(9,17),(11,18),(12,8),(12,19),(13,9),(13,19),(14,10),(15,12),(15,18),(16,13),(16,18),(17,10),(18,2),(18,19),(19,14),(19,17)],20)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>([(0,7),(1,13),(3,11),(3,12),(4,8),(4,10),(5,8),(5,9),(6,3),(6,9),(6,10),(7,4),(7,5),(7,6),(8,15),(9,11),(9,15),(10,12),(10,15),(11,14),(12,14),(13,2),(14,13),(15,1),(15,14)],16)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>([(0,7),(2,11),(2,12),(3,8),(4,10),(4,13),(5,9),(5,13),(6,2),(6,9),(6,10),(7,4),(7,5),(7,6),(8,14),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,3),(13,16),(14,1),(15,14),(16,8),(16,15)],17)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>([(0,7),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,1),(6,5),(7,2),(7,3),(7,4),(8,11),(9,11),(10,11),(11,6)],12)
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>([(0,7),(1,12),(2,8),(2,9),(3,9),(3,10),(4,8),(4,10),(5,1),(5,13),(6,5),(6,11),(7,2),(7,3),(7,4),(8,14),(9,14),(10,6),(10,14),(11,13),(13,12),(14,11)],15)
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>([(0,3),(0,4),(1,14),(2,13),(3,1),(3,16),(4,2),(4,16),(5,7),(5,11),(5,12),(6,10),(6,12),(7,8),(7,9),(8,18),(9,18),(10,17),(11,8),(11,17),(12,9),(12,17),(13,15),(14,5),(14,6),(14,15),(15,10),(15,11),(16,13),(16,14),(17,18)],19)
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,4),(0,5),(1,11),(2,13),(3,12),(4,2),(4,14),(5,3),(5,14),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,1),(10,16),(12,15),(13,6),(13,7),(13,15),(14,12),(14,13),(15,8),(15,9),(16,11)],17)
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,5),(0,7),(1,14),(2,12),(2,13),(3,8),(3,11),(4,8),(4,10),(5,9),(6,2),(6,10),(6,11),(7,1),(7,9),(8,16),(9,14),(10,12),(10,16),(11,13),(11,16),(12,15),(13,15),(14,3),(14,4),(14,6),(16,15)],17)
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,6),(0,7),(1,13),(2,10),(2,12),(3,9),(3,12),(4,11),(5,9),(5,10),(6,8),(7,1),(7,8),(8,13),(9,14),(10,14),(12,4),(12,14),(13,2),(13,3),(13,5),(14,11)],15)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,6),(0,7),(1,12),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,8),(7,1),(7,8),(8,12),(9,13),(10,13),(11,13),(12,3),(12,4),(12,5),(13,2)],14)
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,4),(0,5),(1,11),(2,13),(3,12),(4,2),(4,14),(5,3),(5,14),(6,8),(6,9),(7,9),(7,10),(8,16),(9,16),(10,1),(10,16),(12,15),(13,6),(13,7),(13,15),(14,12),(14,13),(15,8),(15,10),(16,11)],17)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(0,7),(1,14),(3,8),(3,11),(4,8),(4,10),(5,12),(6,5),(6,9),(7,1),(7,9),(8,15),(9,12),(9,14),(10,15),(11,15),(12,13),(13,10),(13,11),(14,3),(14,4),(14,13),(15,2)],16)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,3),(0,4),(1,14),(2,13),(3,1),(3,15),(4,2),(4,15),(5,10),(5,12),(6,10),(6,11),(7,8),(7,9),(8,18),(9,18),(10,17),(11,8),(11,17),(12,9),(12,17),(13,16),(14,5),(14,6),(14,16),(15,13),(15,14),(16,7),(16,11),(16,12),(17,18)],19)
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>([(0,1),(1,3),(1,4),(2,14),(3,13),(4,5),(4,13),(5,6),(5,7),(5,15),(6,10),(6,12),(7,10),(7,11),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,2),(13,15),(14,8),(14,9),(15,11),(15,12),(15,14),(16,17)],18)
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>([(0,7),(1,11),(2,10),(3,8),(4,8),(5,9),(6,5),(6,10),(7,2),(7,6),(9,11),(10,1),(10,9),(11,3),(11,4)],12)
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,9),(2,16),(3,4),(3,6),(3,16),(4,10),(4,15),(5,11),(5,12),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(10,18),(11,1),(11,19),(12,19),(13,11),(13,17),(14,8),(14,18),(15,5),(15,13),(15,18),(16,10),(16,14),(17,19),(18,12),(18,17),(19,9)],20)
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,12),(6,3),(6,11),(7,1),(7,4),(8,6),(8,12),(9,14),(10,13),(11,9),(11,13),(12,10),(12,11),(13,14)],15)
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,11),(6,3),(6,12),(7,1),(7,4),(8,11),(10,12),(11,6),(11,10),(12,9)],13)
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,4),(3,15),(4,11),(5,6),(5,7),(5,16),(6,10),(6,13),(7,10),(7,12),(8,18),(9,18),(10,17),(11,14),(12,8),(12,17),(13,9),(13,17),(14,8),(14,9),(15,11),(15,16),(16,12),(16,13),(16,14),(17,18)],19)
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>([(0,7),(1,12),(1,13),(2,11),(3,8),(3,10),(4,8),(4,9),(5,6),(5,11),(6,3),(6,4),(6,14),(7,2),(7,5),(8,16),(9,12),(9,16),(10,13),(10,16),(11,14),(12,15),(13,15),(14,1),(14,9),(14,10),(16,15)],17)
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>([(0,1),(1,2),(1,3),(2,5),(2,12),(3,6),(3,12),(4,14),(5,11),(6,4),(6,15),(7,9),(7,10),(8,16),(9,16),(10,16),(11,13),(12,11),(12,15),(13,8),(13,9),(14,8),(14,10),(15,7),(15,13),(15,14)],17)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>([(0,7),(1,10),(1,11),(2,13),(3,9),(4,8),(5,6),(5,13),(6,4),(6,14),(7,2),(7,5),(8,10),(8,12),(9,11),(9,12),(10,15),(11,15),(12,15),(13,3),(13,14),(14,1),(14,8),(14,9)],16)
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>([(0,7),(1,10),(2,12),(3,9),(4,8),(5,11),(6,2),(6,10),(7,1),(7,6),(9,8),(10,5),(10,12),(11,4),(11,9),(12,3),(12,11)],13)
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>([(0,7),(1,14),(2,8),(2,11),(3,8),(3,10),(4,12),(5,4),(5,9),(6,1),(6,9),(7,5),(7,6),(8,15),(9,12),(9,14),(10,15),(11,15),(12,13),(13,10),(13,11),(14,2),(14,3),(14,13)],16)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>([(0,7),(1,12),(2,13),(3,9),(3,11),(4,9),(4,10),(5,8),(6,2),(6,12),(7,1),(7,6),(8,10),(8,11),(9,14),(10,14),(11,14),(12,5),(12,13),(13,3),(13,4),(13,8)],15)
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>([(0,7),(1,12),(2,8),(3,9),(4,10),(5,2),(5,12),(6,3),(6,11),(7,1),(7,5),(8,6),(8,10),(10,11),(11,9),(12,4),(12,8)],13)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>([(0,7),(1,11),(2,10),(4,8),(5,9),(6,1),(6,10),(7,2),(7,6),(8,9),(9,3),(10,4),(10,11),(11,5),(11,8)],12)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,7),(1,10),(2,11),(3,13),(4,9),(5,3),(5,9),(6,1),(6,8),(7,4),(7,5),(8,10),(8,11),(9,6),(9,13),(10,12),(11,12),(13,2),(13,8)],14)
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>([(0,7),(1,9),(2,10),(3,11),(4,2),(4,8),(5,3),(5,8),(6,1),(6,12),(7,4),(7,5),(8,10),(8,11),(10,13),(11,6),(11,13),(12,9),(13,12)],14)
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,7),(3,16),(4,15),(5,9),(5,10),(6,8),(6,12),(7,8),(7,11),(8,17),(9,18),(10,18),(11,13),(11,17),(12,14),(12,17),(13,9),(13,19),(14,10),(14,19),(15,5),(15,13),(15,14),(16,11),(16,12),(16,15),(17,19),(19,18)],20)
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>([(0,2),(0,3),(1,6),(1,7),(1,15),(2,14),(3,4),(3,5),(3,14),(4,11),(4,12),(5,10),(5,12),(6,9),(6,13),(7,8),(7,13),(8,16),(9,16),(10,17),(11,1),(11,17),(12,17),(13,16),(14,10),(14,11),(15,8),(15,9),(17,15)],18)
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,5),(0,7),(1,10),(1,12),(2,10),(2,11),(3,8),(4,8),(5,9),(6,3),(6,4),(7,1),(7,2),(7,9),(9,11),(9,12),(10,13),(11,13),(12,13),(13,6)],14)
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,6),(0,7),(1,12),(2,13),(3,5),(3,16),(4,8),(5,9),(6,2),(6,15),(7,3),(7,15),(9,10),(10,11),(11,8),(12,4),(12,11),(13,1),(13,14),(14,10),(14,12),(15,13),(15,16),(16,9),(16,14)],17)
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(0,7),(1,13),(2,10),(3,12),(4,8),(5,8),(6,2),(6,9),(7,3),(7,9),(9,10),(9,12),(10,11),(11,13),(12,1),(12,11),(13,4),(13,5)],14)
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>([(0,6),(0,7),(1,12),(2,5),(2,15),(3,11),(4,13),(5,9),(6,4),(6,14),(7,3),(7,14),(9,8),(10,1),(10,15),(11,10),(12,8),(13,2),(13,10),(14,11),(14,13),(15,9),(15,12)],16)
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(0,7),(1,12),(3,10),(4,13),(5,8),(6,4),(6,9),(7,3),(7,9),(8,12),(9,10),(9,13),(10,11),(11,1),(11,8),(12,2),(13,5),(13,11)],14)
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,6),(0,7),(1,14),(2,9),(3,10),(4,11),(5,2),(5,12),(6,4),(6,8),(7,1),(7,8),(8,11),(8,14),(10,12),(11,13),(12,9),(13,5),(13,10),(14,3),(14,13)],15)
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>([(0,6),(0,7),(2,12),(3,9),(4,10),(5,1),(6,4),(6,8),(7,2),(7,8),(8,10),(8,12),(9,5),(10,11),(11,9),(12,3),(12,11)],13)
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)=>([(0,6),(0,7),(1,5),(1,16),(2,13),(3,4),(3,17),(4,9),(5,12),(6,2),(6,15),(7,3),(7,15),(9,10),(10,11),(11,8),(12,8),(13,1),(13,14),(14,10),(14,16),(15,13),(15,17),(16,11),(16,12),(17,9),(17,14)],18)
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>([(0,6),(0,7),(1,8),(2,11),(3,10),(4,12),(5,1),(5,14),(6,3),(6,9),(7,4),(7,9),(8,11),(9,10),(9,12),(10,13),(12,5),(12,13),(13,14),(14,2),(14,8)],15)
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,4),(3,5),(3,16),(4,7),(4,14),(4,15),(5,11),(5,15),(6,9),(6,10),(7,6),(7,12),(7,13),(9,19),(10,1),(10,19),(11,17),(12,10),(12,18),(13,9),(13,18),(14,13),(14,17),(15,12),(15,17),(16,11),(16,14),(17,18),(18,19),(19,8)],20)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,15),(2,14),(3,16),(4,6),(4,7),(4,17),(5,3),(5,17),(6,9),(6,12),(7,9),(7,13),(9,18),(10,2),(10,19),(11,1),(11,19),(12,10),(12,18),(13,11),(13,18),(14,8),(15,8),(16,10),(16,11),(17,12),(17,13),(17,16),(18,19),(19,14),(19,15)],20)
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,7),(1,13),(1,14),(2,8),(3,10),(4,9),(4,11),(5,1),(5,9),(5,12),(6,4),(6,5),(6,8),(7,2),(7,6),(8,11),(8,12),(9,13),(9,16),(11,16),(12,14),(12,16),(13,15),(14,3),(14,15),(15,10),(16,15)],17)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,4),(0,5),(2,11),(3,14),(4,6),(4,7),(4,15),(5,3),(5,15),(6,9),(6,12),(7,9),(7,13),(8,17),(9,16),(10,2),(10,17),(11,1),(12,8),(12,16),(13,10),(13,16),(14,8),(14,10),(15,12),(15,13),(15,14),(16,17),(17,11)],18)
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>([(0,4),(0,5),(1,3),(1,14),(2,15),(3,8),(4,6),(4,7),(4,16),(5,2),(5,16),(6,10),(6,12),(7,10),(7,13),(9,18),(10,17),(11,1),(11,18),(12,9),(12,17),(13,11),(13,17),(14,8),(15,9),(15,11),(16,12),(16,13),(16,15),(17,18),(18,14)],19)
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>([(0,1),(1,2),(1,3),(2,15),(3,4),(3,5),(3,15),(4,10),(4,14),(5,6),(5,13),(5,14),(6,7),(6,11),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,8),(11,18),(12,9),(12,18),(13,12),(13,16),(14,11),(14,16),(15,10),(15,13),(16,18),(18,17)],19)
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>([(0,7),(1,11),(2,8),(3,8),(4,9),(5,1),(5,10),(6,5),(6,9),(7,4),(7,6),(9,10),(10,11),(11,2),(11,3)],12)
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>([(0,5),(1,9),(2,8),(2,12),(3,10),(3,11),(4,3),(4,8),(4,13),(5,6),(6,1),(6,7),(7,2),(7,4),(7,9),(8,11),(8,14),(9,12),(9,13),(10,15),(11,15),(12,14),(13,10),(13,14),(14,15)],16)
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,5),(0,6),(1,17),(2,12),(3,4),(3,16),(4,11),(5,2),(5,13),(6,3),(6,13),(7,9),(7,10),(8,18),(9,18),(10,18),(11,14),(12,1),(12,15),(13,12),(13,16),(14,8),(14,10),(15,7),(15,14),(15,17),(16,11),(16,15),(17,8),(17,9)],19)
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(1,15),(2,13),(3,12),(4,2),(4,14),(5,3),(5,14),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,16),(11,6),(11,7),(11,15),(12,11),(13,1),(13,11),(14,12),(14,13),(15,8),(15,9)],17)
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,6),(0,7),(1,13),(2,10),(3,11),(4,14),(5,8),(6,4),(6,9),(7,3),(7,9),(8,10),(9,11),(9,14),(11,12),(12,5),(12,13),(13,2),(13,8),(14,1),(14,12)],15)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>([(0,5),(0,6),(1,11),(2,4),(2,16),(3,12),(4,13),(5,2),(5,14),(6,3),(6,14),(7,9),(7,10),(8,17),(9,17),(10,1),(10,17),(12,15),(13,8),(13,9),(14,12),(14,16),(15,8),(15,10),(16,7),(16,13),(16,15),(17,11)],18)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,17),(3,15),(4,1),(4,14),(5,2),(5,14),(6,10),(6,12),(7,8),(7,9),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,16),(14,13),(14,17),(15,10),(15,11),(16,7),(16,11),(16,12),(17,6),(17,15),(17,16),(18,19)],20)
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>([(0,7),(1,10),(2,8),(3,9),(4,5),(4,11),(5,3),(5,12),(6,4),(6,8),(7,2),(7,6),(8,11),(9,10),(11,12),(12,1),(12,9)],13)
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,1),(5,10),(6,3),(6,4),(6,8),(7,2),(7,6),(8,12),(8,13),(9,14),(10,11),(12,14),(13,5),(13,14),(14,10)],15)
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,8),(3,15),(4,5),(4,6),(4,15),(5,9),(5,13),(6,7),(6,12),(6,13),(7,10),(7,11),(9,17),(10,16),(11,16),(12,11),(12,17),(13,10),(13,17),(14,8),(15,9),(15,12),(16,14),(17,1),(17,16)],18)
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,3),(0,4),(1,15),(2,11),(3,16),(4,5),(4,6),(4,16),(5,10),(5,13),(6,7),(6,12),(6,13),(7,8),(7,9),(8,18),(9,18),(10,1),(10,17),(12,9),(12,17),(13,8),(13,17),(14,11),(15,2),(15,14),(16,10),(16,12),(17,15),(17,18),(18,14)],19)
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,6),(0,7),(1,13),(2,8),(3,8),(4,10),(4,11),(5,10),(5,12),(6,9),(7,4),(7,5),(7,9),(9,11),(9,12),(10,14),(11,14),(12,1),(12,14),(13,2),(13,3),(14,13)],15)
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>([(0,5),(0,7),(2,10),(3,9),(3,11),(4,9),(4,12),(5,8),(6,1),(7,3),(7,4),(7,8),(8,11),(8,12),(9,13),(10,6),(11,13),(12,2),(12,13),(13,10)],14)
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,17),(2,12),(3,16),(4,5),(4,6),(4,16),(5,11),(5,14),(6,7),(6,13),(6,14),(7,8),(7,10),(8,19),(10,19),(11,1),(11,18),(12,9),(13,10),(13,18),(14,8),(14,18),(15,9),(16,11),(16,13),(17,12),(17,15),(18,17),(18,19),(19,15)],20)
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>([(0,5),(0,7),(1,11),(2,10),(2,13),(3,10),(3,12),(4,8),(5,9),(6,4),(6,14),(7,2),(7,3),(7,9),(8,11),(9,12),(9,13),(10,15),(12,15),(13,6),(13,15),(14,1),(14,8),(15,14)],16)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,5),(0,7),(1,8),(2,12),(2,14),(3,11),(3,14),(4,10),(5,9),(6,4),(6,13),(7,2),(7,3),(7,9),(8,13),(9,11),(9,12),(11,15),(12,15),(13,10),(14,1),(14,15),(15,6),(15,8)],16)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,4),(0,5),(1,3),(1,15),(2,13),(3,12),(4,14),(5,6),(5,7),(5,14),(6,10),(6,11),(7,9),(7,11),(9,16),(10,16),(11,1),(11,16),(12,8),(13,8),(14,9),(14,10),(15,12),(15,13),(16,2),(16,15)],17)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,11),(2,12),(3,10),(3,12),(4,13),(5,9),(6,8),(7,2),(7,3),(7,8),(8,10),(8,11),(9,13),(10,14),(11,14),(12,5),(12,14),(13,1),(14,4),(14,9)],15)
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>([(0,4),(0,5),(1,14),(2,3),(2,16),(3,13),(4,15),(5,6),(5,7),(5,15),(6,9),(6,11),(7,10),(7,11),(9,17),(10,2),(10,17),(11,1),(11,17),(12,8),(13,8),(14,12),(15,9),(15,10),(16,12),(16,13),(17,14),(17,16)],18)
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,12),(2,13),(3,11),(3,12),(4,10),(5,9),(6,8),(7,2),(7,3),(7,8),(8,11),(8,13),(9,14),(10,14),(11,15),(12,5),(12,15),(13,4),(13,15),(14,1),(15,9),(15,10)],16)
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,4),(0,5),(1,14),(2,3),(2,16),(3,13),(4,15),(5,6),(5,7),(5,15),(6,9),(6,11),(7,10),(7,11),(9,17),(10,1),(10,17),(11,2),(11,17),(12,8),(13,8),(14,12),(15,9),(15,10),(16,12),(16,13),(17,14),(17,16)],18)
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([(0,7),(2,8),(3,9),(3,11),(4,9),(4,10),(5,1),(6,3),(6,4),(6,8),(7,2),(7,6),(8,10),(8,11),(9,12),(10,12),(11,12),(12,5)],13)
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,4),(0,7),(2,8),(2,12),(3,10),(3,11),(4,9),(5,1),(6,3),(6,8),(6,13),(7,2),(7,6),(7,9),(8,11),(8,14),(9,12),(9,13),(10,15),(11,15),(12,14),(13,10),(13,14),(14,15),(15,5)],16)
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,6),(0,7),(2,12),(3,8),(3,11),(4,8),(4,10),(5,1),(6,2),(6,9),(7,3),(7,4),(7,9),(8,16),(9,10),(9,11),(9,12),(10,13),(10,16),(11,14),(11,16),(12,13),(12,14),(13,15),(14,15),(15,5),(16,15)],17)
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([(0,5),(1,11),(1,12),(2,10),(2,12),(3,9),(4,8),(5,6),(6,4),(6,7),(7,1),(7,2),(7,8),(8,10),(8,11),(10,13),(11,13),(12,3),(12,13),(13,9)],14)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(2,14),(3,15),(4,6),(4,7),(4,16),(5,3),(5,16),(6,11),(6,13),(7,11),(7,12),(8,18),(9,18),(10,1),(11,2),(11,17),(12,8),(12,17),(13,9),(13,17),(14,10),(15,8),(15,9),(16,12),(16,13),(16,15),(17,14),(17,18),(18,10)],19)
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([(0,4),(0,7),(1,8),(1,13),(2,8),(2,12),(3,11),(4,10),(5,3),(5,14),(6,5),(6,9),(7,1),(7,2),(7,10),(8,6),(8,15),(9,14),(10,12),(10,13),(12,15),(13,15),(14,11),(15,9)],16)
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>([(0,5),(0,7),(1,11),(1,12),(2,10),(2,12),(4,9),(5,8),(6,3),(7,1),(7,2),(7,8),(8,10),(8,11),(9,6),(10,13),(11,13),(12,4),(12,13),(13,9)],14)
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>([(0,7),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,4),(6,5),(7,2),(7,3),(8,6),(9,10)],11)
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>([(0,5),(0,7),(1,11),(2,10),(2,13),(3,10),(3,12),(4,8),(5,9),(6,4),(6,14),(7,2),(7,3),(7,9),(8,11),(9,12),(9,13),(10,6),(10,15),(12,15),(13,15),(14,1),(14,8),(15,14)],16)
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,7),(1,13),(2,12),(2,14),(3,11),(4,8),(4,9),(5,8),(5,10),(6,4),(6,5),(6,13),(7,1),(7,6),(8,16),(9,14),(9,16),(10,12),(10,16),(12,15),(13,2),(13,9),(13,10),(14,3),(14,15),(15,11),(16,15)],17)
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>([(0,1),(1,2),(1,3),(2,13),(3,4),(3,13),(4,5),(4,15),(5,14),(6,10),(6,12),(7,10),(7,11),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,6),(13,7),(13,15),(14,8),(14,9),(15,11),(15,12),(15,14),(16,17)],18)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>([(0,7),(1,13),(2,9),(2,11),(3,9),(3,12),(4,10),(5,8),(6,5),(6,13),(7,1),(7,6),(8,11),(8,12),(9,14),(11,14),(12,4),(12,14),(13,2),(13,3),(13,8),(14,10)],15)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,7),(1,12),(3,9),(3,11),(4,9),(4,10),(5,8),(6,5),(6,12),(7,1),(7,6),(8,10),(8,11),(9,13),(10,13),(11,13),(12,3),(12,4),(12,8),(13,2)],14)
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>([(0,2),(0,3),(1,9),(2,16),(3,4),(3,6),(3,16),(4,10),(4,15),(5,11),(5,12),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(10,18),(11,19),(12,1),(12,19),(13,11),(13,17),(14,5),(14,13),(14,18),(15,8),(15,18),(16,10),(16,14),(17,19),(18,12),(18,17),(19,9)],20)
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,7),(3,16),(4,15),(5,8),(5,9),(6,10),(6,12),(7,10),(7,13),(8,18),(9,18),(10,19),(11,17),(12,11),(12,19),(13,5),(13,14),(13,19),(14,8),(14,17),(15,11),(15,14),(16,12),(16,13),(16,15),(17,18),(19,9),(19,17)],20)
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,4),(3,15),(4,14),(5,13),(6,8),(6,9),(7,10),(7,12),(8,17),(9,17),(10,16),(11,9),(11,16),(12,8),(12,16),(13,10),(13,11),(14,6),(14,11),(14,12),(15,7),(15,13),(15,14),(16,17)],18)
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>([(0,7),(1,11),(1,12),(2,14),(3,13),(4,8),(4,10),(5,8),(5,9),(6,3),(6,14),(7,2),(7,6),(8,16),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,1),(13,9),(13,10),(14,4),(14,5),(14,13),(16,15)],17)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,1),(1,2),(1,3),(2,15),(3,5),(3,7),(3,15),(4,8),(4,9),(5,11),(5,14),(6,10),(6,13),(7,11),(7,12),(8,17),(9,17),(10,16),(11,18),(12,10),(12,18),(13,8),(13,16),(14,4),(14,13),(14,18),(15,6),(15,12),(15,14),(16,17),(18,9),(18,16)],19)
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,2),(1,16),(2,4),(2,5),(2,16),(3,10),(3,11),(4,9),(4,13),(5,8),(5,13),(6,12),(6,15),(7,12),(7,14),(8,19),(9,19),(10,18),(11,18),(12,17),(13,6),(13,7),(13,19),(14,10),(14,17),(15,11),(15,17),(16,8),(16,9),(17,18),(19,3),(19,14),(19,15)],20)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>([(0,4),(0,5),(1,14),(2,11),(3,13),(4,15),(5,6),(5,7),(5,15),(6,9),(6,10),(7,8),(7,10),(8,16),(9,1),(9,16),(10,3),(10,16),(12,11),(13,12),(14,2),(14,12),(15,8),(15,9),(16,13),(16,14)],17)
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,14),(2,11),(3,15),(4,6),(4,7),(4,16),(5,3),(5,16),(6,9),(6,12),(7,9),(7,13),(8,18),(9,17),(10,1),(10,18),(12,8),(12,17),(13,10),(13,17),(14,11),(15,8),(15,10),(16,12),(16,13),(16,15),(17,18),(18,2),(18,14)],19)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,4),(0,5),(1,15),(2,11),(3,16),(4,6),(4,7),(4,17),(5,3),(5,17),(6,10),(6,14),(7,10),(7,13),(8,19),(9,19),(10,1),(10,18),(12,11),(13,8),(13,18),(14,9),(14,18),(15,12),(16,8),(16,9),(17,13),(17,14),(17,16),(18,15),(18,19),(19,2),(19,12)],20)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,11),(2,11),(3,14),(4,6),(4,7),(4,15),(5,3),(5,15),(6,10),(6,13),(7,10),(7,12),(8,17),(9,17),(10,16),(12,8),(12,16),(13,9),(13,16),(14,8),(14,9),(15,12),(15,13),(15,14),(16,17),(17,1),(17,2)],18)
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>([(0,7),(1,8),(2,11),(3,11),(4,9),(5,6),(5,8),(6,4),(6,10),(7,2),(7,3),(8,10),(10,9),(11,1),(11,5)],12)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(0,3),(1,8),(2,15),(3,4),(3,5),(3,15),(4,10),(4,14),(5,9),(5,14),(6,12),(6,13),(7,11),(7,13),(9,17),(10,17),(11,16),(12,1),(12,16),(13,16),(14,6),(14,7),(14,17),(15,9),(15,10),(16,8),(17,11),(17,12)],18)
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>([(0,7),(1,10),(2,10),(3,9),(5,8),(6,3),(6,8),(7,1),(7,2),(8,9),(9,4),(10,5),(10,6)],11)
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(0,7),(2,13),(2,14),(3,12),(3,14),(4,8),(4,11),(5,8),(5,10),(6,9),(7,2),(7,3),(7,9),(8,16),(9,12),(9,13),(10,16),(11,16),(12,15),(13,15),(14,4),(14,5),(14,15),(15,10),(15,11),(16,1)],17)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>([(0,7),(1,8),(2,9),(3,11),(4,3),(4,8),(5,2),(5,10),(6,5),(6,12),(7,1),(7,4),(8,6),(8,11),(10,9),(11,12),(12,10)],13)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,9),(2,16),(3,4),(3,6),(3,16),(4,10),(4,15),(5,11),(5,12),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(10,18),(11,19),(12,1),(12,19),(13,11),(13,17),(14,8),(14,18),(15,5),(15,13),(15,18),(16,10),(16,14),(17,19),(18,12),(18,17),(19,9)],20)
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>([(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,1),(5,10),(6,3),(6,4),(6,8),(7,2),(7,6),(8,12),(8,13),(9,5),(9,14),(10,11),(12,14),(13,14),(14,10)],15)
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,9),(3,15),(4,5),(4,6),(4,15),(5,10),(5,13),(6,7),(6,12),(6,13),(7,8),(7,11),(8,17),(10,16),(11,1),(11,17),(12,11),(12,16),(13,8),(13,16),(14,9),(15,10),(15,12),(16,17),(17,14)],18)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>([(0,7),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,6)],12)
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>([(0,2),(0,3),(1,16),(2,13),(3,1),(3,13),(4,10),(4,15),(5,9),(5,11),(6,7),(6,14),(6,15),(7,8),(7,12),(8,17),(9,18),(10,19),(11,18),(12,11),(12,17),(13,4),(13,6),(13,16),(14,8),(14,19),(15,5),(15,12),(15,19),(16,10),(16,14),(17,18),(19,9),(19,17)],20)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,2),(0,3),(1,15),(2,14),(3,1),(3,14),(4,11),(4,12),(5,10),(5,12),(6,9),(6,13),(7,8),(7,13),(8,17),(9,17),(10,16),(11,16),(12,16),(13,4),(13,5),(13,17),(14,6),(14,7),(14,15),(15,8),(15,9),(17,10),(17,11)],18)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>([(0,5),(0,6),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,11),(6,11),(7,1),(8,12),(9,12),(10,12),(11,2),(11,3),(11,4),(12,7)],13)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>([(0,1),(0,2),(1,9),(2,9),(3,12),(3,15),(4,10),(4,11),(5,12),(5,14),(6,7),(6,14),(6,15),(7,8),(7,13),(8,16),(9,3),(9,5),(9,6),(10,17),(11,17),(12,18),(13,10),(13,16),(14,8),(14,18),(15,4),(15,13),(15,18),(16,17),(18,11),(18,16)],19)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>([(0,6),(0,7),(1,10),(1,13),(2,9),(2,13),(3,9),(3,10),(4,8),(4,12),(5,8),(5,11),(6,14),(7,14),(8,16),(9,15),(10,15),(11,16),(12,16),(13,4),(13,5),(13,15),(14,1),(14,2),(14,3),(15,11),(15,12)],17)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>([(0,2),(0,3),(1,13),(2,11),(3,11),(4,12),(4,15),(5,12),(5,14),(6,7),(6,14),(6,15),(7,9),(7,10),(9,17),(10,17),(11,4),(11,5),(11,6),(12,1),(12,16),(13,8),(14,9),(14,16),(15,10),(15,16),(16,13),(16,17),(17,8)],18)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)=>([(0,6),(0,7),(1,12),(1,13),(2,8),(2,13),(3,8),(3,12),(4,9),(5,10),(6,14),(7,14),(8,15),(9,11),(10,11),(12,4),(12,15),(13,5),(13,15),(14,1),(14,2),(14,3),(15,9),(15,10)],16)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>([(0,6),(0,7),(1,11),(2,9),(2,12),(3,8),(3,12),(4,10),(5,8),(5,9),(6,13),(7,13),(8,14),(9,14),(10,11),(12,4),(12,14),(13,2),(13,3),(13,5),(14,1),(14,10)],15)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(0,7),(1,8),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(9,13),(10,13),(11,13),(12,3),(12,4),(12,5),(13,1),(13,2)],14)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,5),(0,6),(1,12),(1,13),(2,11),(3,8),(3,10),(4,8),(4,9),(5,14),(6,14),(7,1),(7,9),(7,10),(8,16),(9,12),(9,16),(10,13),(10,16),(12,15),(13,15),(14,3),(14,4),(14,7),(15,11),(16,2),(16,15)],17)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>([(0,1),(0,2),(1,10),(2,10),(3,7),(3,14),(3,15),(4,11),(4,15),(5,11),(5,14),(6,8),(6,9),(7,6),(7,12),(7,13),(8,17),(9,17),(10,3),(10,4),(10,5),(11,16),(12,8),(12,18),(13,9),(13,18),(14,12),(14,16),(15,13),(15,16),(16,18),(18,17)],19)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>([(0,5),(0,6),(1,12),(2,8),(2,9),(3,9),(3,10),(4,8),(4,10),(5,13),(6,13),(7,1),(7,11),(8,14),(9,14),(10,7),(10,14),(11,12),(13,2),(13,3),(13,4),(14,11)],15)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>([(0,6),(0,7),(2,11),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,12),(7,12),(8,13),(9,13),(10,2),(10,13),(11,1),(12,3),(12,4),(12,5),(13,11)],14)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>([(0,5),(0,6),(1,12),(1,13),(2,11),(3,8),(3,9),(4,8),(4,10),(5,14),(6,14),(7,1),(7,9),(7,10),(8,16),(9,12),(9,16),(10,13),(10,16),(12,15),(13,2),(13,15),(14,3),(14,4),(14,7),(15,11),(16,15)],17)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,5),(0,6),(2,11),(2,12),(3,8),(3,10),(4,8),(4,9),(5,13),(6,13),(7,2),(7,9),(7,10),(8,14),(9,11),(9,14),(10,12),(10,14),(11,15),(12,15),(13,3),(13,4),(13,7),(14,15),(15,1)],16)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,12),(2,13),(3,14),(3,16),(4,14),(4,15),(5,8),(5,9),(6,9),(6,11),(7,8),(7,11),(8,18),(9,18),(11,3),(11,4),(11,18),(12,19),(13,19),(14,17),(15,12),(15,17),(16,13),(16,17),(17,1),(17,19),(18,2),(18,15),(18,16),(19,10)],20)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,5),(0,6),(0,7),(1,16),(2,11),(2,12),(3,13),(3,15),(4,13),(4,14),(5,8),(5,9),(6,9),(6,10),(7,8),(7,10),(8,19),(9,19),(10,1),(10,19),(11,18),(12,18),(13,17),(14,11),(14,17),(15,12),(15,17),(16,2),(16,14),(16,15),(17,18),(19,3),(19,4),(19,16)],20)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(0,7),(1,16),(2,9),(2,10),(3,12),(3,13),(4,11),(4,13),(5,8),(5,15),(6,8),(6,14),(7,2),(7,14),(7,15),(8,18),(9,19),(10,19),(11,17),(12,17),(13,17),(14,9),(14,18),(15,10),(15,18),(16,11),(16,12),(18,1),(18,19),(19,3),(19,4),(19,16)],20)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(0,7),(1,12),(1,13),(2,11),(2,13),(3,11),(3,12),(4,9),(4,10),(5,8),(5,15),(6,8),(6,14),(7,4),(7,14),(7,15),(8,17),(9,18),(10,18),(11,16),(12,16),(13,16),(14,9),(14,17),(15,10),(15,17),(17,18),(18,1),(18,2),(18,3)],19)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>([(0,5),(0,7),(2,8),(3,9),(3,11),(4,9),(4,10),(5,12),(6,1),(7,2),(7,12),(8,10),(8,11),(9,13),(10,13),(11,13),(12,3),(12,4),(12,8),(13,6)],14)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>([(0,2),(0,3),(1,16),(2,13),(3,1),(3,13),(4,10),(4,15),(5,9),(5,11),(6,7),(6,14),(6,15),(7,8),(7,12),(8,17),(9,18),(10,19),(11,18),(12,11),(12,17),(13,4),(13,6),(13,16),(14,5),(14,12),(14,19),(15,8),(15,19),(16,10),(16,14),(17,18),(19,9),(19,17)],20)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>([(0,3),(0,4),(1,15),(2,16),(3,12),(4,2),(4,12),(5,11),(5,14),(6,7),(6,13),(6,14),(7,8),(7,10),(8,18),(10,18),(11,1),(11,17),(12,5),(12,6),(12,16),(13,10),(13,17),(14,8),(14,17),(15,9),(16,11),(16,13),(17,15),(17,18),(18,9)],19)
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,3),(0,4),(1,15),(2,11),(3,12),(4,1),(4,12),(5,10),(5,14),(6,7),(6,13),(6,14),(7,8),(7,9),(8,17),(9,17),(10,16),(12,5),(12,6),(12,15),(13,9),(13,16),(14,8),(14,16),(15,10),(15,13),(16,2),(16,17),(17,11)],18)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>([(0,4),(0,5),(1,15),(2,3),(2,17),(3,16),(4,12),(5,2),(5,12),(6,11),(6,14),(7,11),(7,13),(9,19),(10,19),(11,1),(11,18),(12,6),(12,7),(12,17),(13,9),(13,18),(14,10),(14,18),(15,8),(16,9),(16,10),(17,13),(17,14),(17,16),(18,15),(18,19),(19,8)],20)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>([(0,4),(0,5),(1,15),(2,13),(3,14),(4,12),(5,1),(5,12),(6,9),(6,11),(7,10),(7,11),(9,16),(10,3),(10,16),(11,2),(11,16),(12,6),(12,7),(12,15),(13,8),(14,8),(15,9),(15,10),(16,13),(16,14)],17)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>([(0,6),(0,7),(1,8),(2,9),(3,12),(3,13),(4,11),(4,13),(5,10),(6,14),(7,2),(7,14),(8,10),(9,11),(9,12),(11,15),(12,15),(13,1),(13,15),(14,3),(14,4),(14,9),(15,5),(15,8)],16)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>([(0,2),(0,3),(1,15),(2,14),(3,1),(3,14),(4,10),(4,13),(5,9),(5,13),(6,8),(6,12),(7,11),(7,12),(8,17),(9,16),(10,16),(11,4),(11,5),(11,17),(12,17),(13,16),(14,6),(14,7),(14,15),(15,8),(15,11),(17,9),(17,10)],18)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,3),(1,16),(2,11),(3,15),(4,12),(5,1),(5,12),(6,10),(6,14),(7,10),(7,13),(8,18),(9,18),(10,17),(12,6),(12,7),(12,16),(13,8),(13,17),(14,9),(14,17),(15,8),(15,9),(16,13),(16,14),(16,15),(17,2),(17,18),(18,11)],19)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7)=>([(0,4),(0,5),(1,15),(2,14),(3,13),(4,12),(5,1),(5,12),(6,9),(6,10),(7,9),(7,11),(9,16),(10,3),(10,16),(11,2),(11,16),(12,6),(12,7),(12,15),(13,8),(14,8),(15,10),(15,11),(16,13),(16,14)],17)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>([(0,6),(0,7),(1,11),(2,9),(2,12),(3,9),(3,13),(4,10),(5,8),(6,14),(7,5),(7,14),(8,12),(8,13),(9,15),(10,11),(12,15),(13,4),(13,15),(14,2),(14,3),(14,8),(15,1),(15,10)],16)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(0,7),(1,10),(1,12),(2,10),(2,11),(3,9),(4,8),(5,8),(6,13),(7,3),(7,13),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,2),(13,9),(14,4),(14,5)],15)
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>([(0,4),(0,5),(1,14),(2,15),(3,6),(3,7),(3,16),(4,13),(5,1),(5,13),(6,10),(6,12),(7,10),(7,11),(8,18),(9,18),(10,17),(11,8),(11,17),(12,9),(12,17),(13,3),(13,14),(14,2),(14,16),(15,8),(15,9),(16,11),(16,12),(16,15),(17,18)],19)
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>([(0,6),(0,7),(1,13),(2,4),(2,15),(3,5),(3,14),(4,11),(5,9),(6,12),(7,1),(7,12),(9,10),(10,8),(11,8),(12,3),(12,13),(13,2),(13,14),(14,9),(14,15),(15,10),(15,11)],16)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>([(0,5),(0,7),(1,13),(2,14),(3,10),(4,12),(5,8),(6,4),(6,9),(7,1),(7,8),(8,6),(8,13),(9,12),(9,14),(11,10),(12,11),(13,2),(13,9),(14,3),(14,11)],15)
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,9),(2,12),(3,8),(3,11),(4,8),(4,10),(5,14),(6,1),(6,14),(7,3),(7,4),(7,13),(8,15),(9,7),(9,12),(10,15),(11,15),(12,13),(13,10),(13,11),(14,2),(14,9)],16)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,10),(2,11),(3,9),(4,8),(5,12),(6,4),(6,13),(7,3),(7,12),(8,10),(9,6),(9,11),(11,13),(12,2),(12,9),(13,1),(13,8)],14)
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,6),(0,7),(1,12),(2,11),(3,8),(4,8),(5,9),(6,10),(7,2),(7,10),(9,12),(10,5),(10,11),(11,1),(11,9),(12,3),(12,4)],13)
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([(0,5),(0,6),(1,14),(2,15),(3,4),(3,12),(4,8),(5,1),(5,13),(6,2),(6,13),(7,10),(7,11),(9,16),(10,16),(11,3),(11,16),(12,8),(13,7),(13,14),(13,15),(14,9),(14,10),(15,9),(15,11),(16,12)],17)
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>([(0,5),(0,6),(1,3),(1,16),(2,4),(2,17),(3,15),(4,14),(5,13),(6,1),(6,13),(7,10),(7,12),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,2),(13,16),(14,8),(14,9),(15,10),(15,11),(16,7),(16,15),(16,17),(17,11),(17,12),(17,14),(18,19)],20)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>([(0,5),(0,6),(1,12),(2,14),(3,4),(3,15),(4,13),(5,11),(6,1),(6,11),(7,9),(7,10),(8,16),(9,16),(10,16),(11,3),(11,12),(12,2),(12,15),(13,8),(13,9),(14,8),(14,10),(15,7),(15,13),(15,14)],17)
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(0,5),(1,3),(1,16),(2,15),(3,14),(4,13),(5,1),(5,13),(6,7),(6,11),(6,12),(7,8),(7,9),(8,18),(9,18),(10,17),(11,8),(11,17),(12,9),(12,17),(13,2),(13,16),(14,10),(14,11),(15,10),(15,12),(16,6),(16,14),(16,15),(17,18)],19)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>([(0,5),(0,7),(1,10),(2,14),(3,11),(4,8),(5,13),(6,3),(6,9),(7,4),(7,13),(8,6),(8,14),(9,10),(9,11),(10,12),(11,12),(13,2),(13,8),(14,1),(14,9)],15)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>([(0,5),(0,6),(1,11),(2,4),(2,15),(3,14),(4,13),(5,12),(6,2),(6,12),(7,9),(7,10),(8,16),(9,16),(10,1),(10,16),(12,3),(12,15),(13,8),(13,9),(14,8),(14,10),(15,7),(15,13),(15,14),(16,11)],17)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>([(0,6),(0,7),(1,13),(2,9),(3,8),(4,11),(5,12),(6,10),(7,1),(7,10),(9,8),(10,5),(10,13),(11,3),(11,9),(12,2),(12,11),(13,4),(13,12)],14)
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,3),(0,4),(1,15),(2,16),(3,1),(3,14),(4,2),(4,14),(5,12),(5,13),(6,11),(6,13),(7,9),(7,10),(8,18),(9,18),(10,5),(10,6),(10,18),(11,17),(12,17),(13,17),(14,7),(14,15),(14,16),(15,8),(15,9),(16,8),(16,10),(18,11),(18,12)],19)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>([(0,4),(0,5),(1,16),(2,3),(2,15),(3,14),(4,13),(5,2),(5,13),(6,8),(6,9),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,1),(13,15),(14,10),(14,11),(15,7),(15,14),(15,16),(16,6),(16,11),(16,12),(17,18)],19)
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([(0,6),(0,7),(1,14),(2,12),(3,9),(3,11),(4,9),(4,10),(5,8),(6,13),(7,2),(7,13),(8,10),(8,11),(9,15),(10,15),(11,15),(12,5),(12,14),(13,1),(13,12),(14,3),(14,4),(14,8)],16)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>([(0,6),(0,7),(2,10),(2,11),(3,9),(4,8),(5,1),(6,4),(6,13),(7,3),(7,13),(8,10),(8,12),(9,11),(9,12),(10,14),(11,14),(12,14),(13,2),(13,8),(13,9),(14,5)],15)
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7)=>([(0,4),(0,5),(1,14),(2,17),(3,16),(4,3),(4,15),(5,2),(5,15),(6,7),(6,12),(6,13),(7,9),(7,10),(9,19),(10,19),(11,1),(11,18),(12,9),(12,18),(13,10),(13,18),(14,8),(15,6),(15,16),(15,17),(16,11),(16,12),(17,11),(17,13),(18,14),(18,19),(19,8)],20)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,4),(0,5),(1,16),(2,15),(3,11),(4,2),(4,14),(5,1),(5,14),(6,7),(6,12),(6,13),(7,8),(7,9),(8,18),(9,18),(10,17),(12,8),(12,17),(13,9),(13,17),(14,6),(14,15),(14,16),(15,10),(15,12),(16,10),(16,13),(17,3),(17,18),(18,11)],19)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7)=>([(0,5),(0,6),(1,15),(2,14),(3,4),(3,12),(4,8),(5,2),(5,13),(6,1),(6,13),(7,9),(7,10),(9,16),(10,16),(11,3),(11,16),(12,8),(13,7),(13,14),(13,15),(14,9),(14,11),(15,10),(15,11),(16,12)],17)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>([(0,6),(0,7),(1,10),(1,11),(2,12),(4,9),(5,8),(6,5),(6,13),(7,4),(7,13),(8,10),(8,14),(9,11),(9,14),(10,15),(11,15),(12,3),(13,1),(13,8),(13,9),(14,2),(14,15),(15,12)],16)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)=>([(0,5),(0,6),(1,16),(2,15),(3,12),(4,13),(5,2),(5,14),(6,1),(6,14),(7,10),(7,11),(9,17),(10,3),(10,17),(11,4),(11,17),(12,8),(13,8),(14,7),(14,15),(14,16),(15,9),(15,10),(16,9),(16,11),(17,12),(17,13)],18)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>([(0,5),(0,6),(1,15),(2,16),(3,13),(4,12),(5,1),(5,14),(6,2),(6,14),(7,9),(7,11),(9,17),(10,4),(10,17),(11,3),(11,17),(12,8),(13,8),(14,7),(14,15),(14,16),(15,10),(15,11),(16,9),(16,10),(17,12),(17,13)],18)
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,14),(2,15),(3,12),(4,11),(5,1),(5,13),(6,2),(6,13),(7,9),(7,10),(8,16),(9,16),(10,3),(10,16),(12,11),(13,7),(13,14),(13,15),(14,8),(14,9),(15,8),(15,10),(16,4),(16,12)],17)
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,16),(2,4),(2,17),(3,11),(4,14),(5,1),(5,15),(6,2),(6,15),(7,10),(7,13),(8,19),(9,19),(10,18),(12,9),(12,18),(13,8),(13,18),(14,8),(14,9),(15,7),(15,16),(15,17),(16,10),(16,12),(17,12),(17,13),(17,14),(18,3),(18,19),(19,11)],20)
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,3),(0,4),(1,16),(2,15),(3,2),(3,14),(4,1),(4,14),(5,12),(5,13),(6,11),(6,13),(7,9),(7,10),(8,5),(8,6),(8,18),(9,18),(10,18),(11,17),(12,17),(13,17),(14,7),(14,15),(14,16),(15,8),(15,9),(16,8),(16,10),(18,11),(18,12)],19)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(1,15),(2,14),(3,12),(4,11),(5,2),(5,13),(6,1),(6,13),(7,8),(7,9),(8,16),(9,16),(10,3),(10,16),(12,11),(13,7),(13,14),(13,15),(14,8),(14,10),(15,9),(15,10),(16,4),(16,12)],17)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(0,7),(1,11),(1,12),(2,10),(3,9),(4,8),(5,8),(6,3),(6,14),(7,2),(7,14),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,1),(14,9),(14,10),(15,4),(15,5)],16)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>([(0,6),(0,7),(1,13),(2,4),(2,16),(3,5),(3,15),(4,9),(5,12),(6,11),(7,3),(7,11),(9,10),(10,8),(11,2),(11,15),(12,1),(12,14),(13,8),(14,10),(14,13),(15,12),(15,16),(16,9),(16,14)],17)
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>([(0,4),(0,7),(1,9),(2,10),(3,11),(4,14),(5,3),(5,8),(6,1),(6,12),(7,5),(7,14),(8,10),(8,11),(10,13),(11,6),(11,13),(12,9),(13,12),(14,2),(14,8)],15)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,13),(3,12),(4,10),(5,11),(6,3),(6,8),(7,6),(7,11),(8,10),(8,12),(9,13),(10,9),(11,4),(11,8),(12,1),(12,9),(13,2)],14)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,6),(0,7),(1,11),(1,12),(2,13),(4,8),(4,10),(5,8),(5,9),(6,14),(7,4),(7,5),(7,14),(8,16),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,3),(14,1),(14,9),(14,10),(15,13),(16,2),(16,15)],17)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,8),(3,15),(4,6),(4,7),(4,15),(5,10),(5,11),(6,9),(6,13),(7,9),(7,12),(9,17),(10,16),(11,16),(12,10),(12,17),(13,11),(13,17),(14,8),(15,5),(15,12),(15,13),(16,14),(17,1),(17,16)],18)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,5),(3,6),(3,16),(4,10),(4,11),(5,12),(5,14),(6,12),(6,15),(7,9),(7,13),(9,17),(10,19),(11,19),(12,18),(13,10),(13,17),(14,9),(14,18),(15,4),(15,13),(15,18),(16,7),(16,14),(16,15),(17,1),(17,19),(18,11),(18,17),(19,8)],20)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,4),(1,14),(2,11),(3,15),(4,6),(4,7),(4,15),(5,8),(5,9),(6,10),(6,13),(7,10),(7,12),(8,17),(9,17),(10,16),(12,8),(12,16),(13,9),(13,16),(14,11),(15,5),(15,12),(15,13),(16,1),(16,17),(17,2),(17,14)],18)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(2,15),(3,5),(3,7),(3,15),(4,8),(4,9),(5,11),(5,14),(6,10),(6,13),(7,11),(7,12),(8,17),(9,17),(10,16),(11,18),(12,10),(12,18),(13,8),(13,16),(14,4),(14,13),(14,18),(15,6),(15,12),(15,14),(16,17),(17,1),(18,9),(18,16)],19)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,14),(2,15),(3,16),(4,6),(4,7),(4,16),(5,10),(5,11),(6,9),(6,12),(7,9),(7,13),(9,18),(10,17),(11,2),(11,17),(12,10),(12,18),(13,11),(13,18),(14,8),(15,8),(16,5),(16,12),(16,13),(17,14),(17,15),(18,1),(18,17)],19)
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,5),(3,6),(3,16),(4,10),(4,11),(5,12),(5,14),(6,12),(6,15),(7,9),(7,13),(9,17),(10,19),(11,1),(11,19),(12,18),(13,10),(13,17),(14,9),(14,18),(15,4),(15,13),(15,18),(16,7),(16,14),(16,15),(17,19),(18,11),(18,17),(19,8)],20)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,5),(3,6),(3,16),(4,10),(4,11),(5,12),(5,14),(6,12),(6,15),(7,9),(7,13),(9,17),(10,1),(10,19),(11,19),(12,18),(13,10),(13,17),(14,9),(14,18),(15,4),(15,13),(15,18),(16,7),(16,14),(16,15),(17,19),(18,11),(18,17),(19,8)],20)
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,3),(0,4),(1,15),(2,11),(3,16),(4,6),(4,7),(4,16),(5,8),(5,9),(6,10),(6,13),(7,10),(7,12),(8,18),(9,18),(10,1),(10,17),(12,8),(12,17),(13,9),(13,17),(14,11),(15,2),(15,14),(16,5),(16,12),(16,13),(17,15),(17,18),(18,14)],19)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(0,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,14),(7,14),(8,15),(8,18),(9,15),(9,16),(10,15),(10,17),(11,16),(11,18),(12,17),(12,18),(13,16),(13,17),(14,2),(14,3),(14,4),(14,5),(15,19),(16,19),(17,19),(18,19),(19,1)],20)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>([(0,3),(0,4),(1,15),(2,16),(3,12),(4,2),(4,12),(5,9),(5,10),(6,11),(6,14),(7,11),(7,13),(9,18),(10,18),(11,1),(11,17),(12,6),(12,7),(12,16),(13,9),(13,17),(14,10),(14,17),(15,8),(16,5),(16,13),(16,14),(17,15),(17,18),(18,8)],19)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>([(0,2),(0,3),(1,16),(2,11),(3,1),(3,11),(4,10),(4,13),(5,10),(5,12),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,18),(10,17),(11,4),(11,5),(11,16),(12,14),(12,17),(13,15),(13,17),(14,8),(14,19),(15,9),(15,19),(16,6),(16,12),(16,13),(17,19),(19,18)],20)
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>([(0,3),(0,4),(1,11),(2,15),(3,12),(4,2),(4,12),(5,8),(5,10),(6,9),(6,13),(7,9),(7,14),(8,17),(9,16),(10,1),(10,17),(12,6),(12,7),(12,15),(13,8),(13,16),(14,10),(14,16),(15,5),(15,13),(15,14),(16,17),(17,11)],18)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,6),(0,7),(2,11),(2,12),(3,13),(4,8),(4,10),(5,8),(5,9),(6,14),(7,3),(7,14),(8,15),(9,11),(9,15),(10,12),(10,15),(11,16),(12,16),(13,2),(13,9),(13,10),(14,4),(14,5),(14,13),(15,16),(16,1)],17)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>([(0,2),(0,3),(1,16),(2,12),(3,1),(3,12),(4,8),(4,9),(5,11),(5,15),(6,10),(6,14),(7,11),(7,13),(8,18),(9,18),(10,17),(11,19),(12,5),(12,7),(12,16),(13,10),(13,19),(14,8),(14,17),(15,4),(15,14),(15,19),(16,6),(16,13),(16,15),(17,18),(19,9),(19,17)],20)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,15),(2,11),(3,12),(4,1),(4,12),(5,8),(5,9),(6,10),(6,14),(7,10),(7,13),(8,17),(9,17),(10,16),(12,6),(12,7),(12,15),(13,8),(13,16),(14,9),(14,16),(15,5),(15,13),(15,14),(16,2),(16,17),(17,11)],18)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,4),(0,5),(1,11),(2,16),(3,15),(4,2),(4,14),(5,3),(5,14),(6,8),(6,10),(7,9),(7,13),(8,18),(9,17),(10,1),(10,18),(12,8),(12,17),(13,10),(13,17),(14,7),(14,15),(14,16),(15,9),(15,12),(16,6),(16,12),(16,13),(17,18),(18,11)],19)
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>([(0,4),(0,5),(1,11),(2,16),(3,15),(4,2),(4,14),(5,3),(5,14),(6,8),(6,10),(7,9),(7,13),(8,18),(9,17),(10,1),(10,18),(12,10),(12,17),(13,8),(13,17),(14,7),(14,15),(14,16),(15,9),(15,12),(16,6),(16,12),(16,13),(17,18),(18,11)],19)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>([(0,4),(0,5),(1,14),(2,17),(3,16),(4,2),(4,15),(5,3),(5,15),(6,9),(6,10),(7,11),(7,13),(9,19),(10,19),(11,1),(11,18),(12,10),(12,18),(13,9),(13,18),(14,8),(15,7),(15,16),(15,17),(16,11),(16,12),(17,6),(17,12),(17,13),(18,14),(18,19),(19,8)],20)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,5),(2,15),(3,14),(4,2),(4,13),(5,3),(5,13),(6,8),(6,9),(7,10),(7,12),(8,17),(9,17),(10,16),(11,9),(11,16),(12,8),(12,16),(13,7),(13,14),(13,15),(14,10),(14,11),(15,6),(15,11),(15,12),(16,17),(17,1)],18)
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,4),(0,5),(1,16),(2,15),(3,11),(4,1),(4,14),(5,2),(5,14),(6,8),(6,9),(7,10),(7,13),(8,18),(9,18),(10,17),(12,9),(12,17),(13,8),(13,17),(14,7),(14,15),(14,16),(15,10),(15,12),(16,6),(16,12),(16,13),(17,3),(17,18),(18,11)],19)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>([(0,3),(0,4),(1,14),(2,15),(3,13),(4,1),(4,13),(5,7),(5,11),(5,12),(6,10),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,2),(13,14),(14,5),(14,6),(14,15),(15,10),(15,11),(16,17)],18)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>([(0,6),(0,7),(1,14),(2,10),(3,9),(3,13),(4,9),(4,11),(5,8),(6,12),(7,1),(7,12),(8,11),(8,13),(9,15),(11,15),(12,5),(12,14),(13,2),(13,15),(14,3),(14,4),(14,8),(15,10)],16)
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,6),(0,7),(1,11),(1,13),(2,10),(2,13),(3,14),(4,9),(5,8),(6,12),(7,3),(7,12),(8,10),(8,11),(10,15),(11,15),(12,5),(12,14),(13,4),(13,15),(14,1),(14,2),(14,8),(15,9)],16)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(0,7),(1,13),(3,9),(3,11),(4,9),(4,10),(5,8),(6,12),(7,1),(7,12),(8,10),(8,11),(9,14),(10,14),(11,14),(12,5),(12,13),(13,3),(13,4),(13,8),(14,2)],15)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>([(0,4),(0,5),(1,14),(2,3),(2,16),(3,15),(4,13),(5,1),(5,13),(6,10),(6,12),(7,10),(7,11),(8,18),(9,18),(10,17),(11,8),(11,17),(12,9),(12,17),(13,2),(13,14),(14,6),(14,7),(14,16),(15,8),(15,9),(16,11),(16,12),(16,15),(17,18)],19)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>([(0,3),(0,4),(1,14),(2,15),(3,13),(4,1),(4,13),(5,10),(5,12),(6,10),(6,11),(7,8),(7,9),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,2),(13,14),(14,5),(14,6),(14,15),(15,7),(15,11),(15,12),(16,17)],18)
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,11),(2,13),(3,10),(3,13),(4,12),(4,14),(5,12),(5,15),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,2),(9,3),(9,18),(10,16),(11,16),(12,17),(13,16),(14,8),(14,17),(15,9),(15,17),(17,18),(18,10),(18,11)],19)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,1),(1,3),(1,4),(1,5),(2,10),(3,7),(3,14),(3,15),(4,11),(4,15),(5,11),(5,14),(6,8),(6,9),(7,6),(7,12),(7,13),(8,18),(9,18),(11,16),(12,8),(12,17),(13,9),(13,17),(14,12),(14,16),(15,13),(15,16),(16,17),(17,2),(17,18),(18,10)],19)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,7),(1,12),(1,13),(2,8),(3,8),(4,9),(4,11),(5,9),(5,10),(6,1),(6,10),(6,11),(7,4),(7,5),(7,6),(9,14),(10,12),(10,14),(11,13),(11,14),(12,15),(13,15),(14,15),(15,2),(15,3)],16)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,7),(1,12),(2,13),(2,14),(3,8),(4,9),(4,10),(5,9),(5,11),(6,2),(6,10),(6,11),(7,4),(7,5),(7,6),(8,12),(9,15),(10,13),(10,15),(11,14),(11,15),(13,16),(14,3),(14,16),(15,16),(16,1),(16,8)],17)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)=>([(0,1),(1,4),(1,5),(1,6),(2,13),(3,12),(4,11),(4,14),(5,11),(5,15),(6,7),(6,14),(6,15),(7,9),(7,10),(9,3),(9,17),(10,2),(10,17),(11,16),(12,8),(13,8),(14,9),(14,16),(15,10),(15,16),(16,17),(17,12),(17,13)],18)
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>([(0,4),(0,5),(1,16),(2,14),(3,13),(4,2),(4,15),(5,3),(5,15),(6,10),(6,12),(7,10),(7,11),(8,19),(9,19),(10,18),(11,8),(11,18),(12,9),(12,18),(13,6),(13,7),(13,17),(14,1),(14,17),(15,13),(15,14),(16,8),(16,9),(17,11),(17,12),(17,16),(18,19)],20)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,1),(0,2),(1,16),(2,6),(2,7),(2,16),(3,11),(3,13),(4,10),(4,13),(5,8),(5,9),(6,12),(6,15),(7,12),(7,14),(8,19),(9,19),(10,17),(11,17),(12,18),(13,17),(14,8),(14,18),(15,9),(15,18),(16,5),(16,14),(16,15),(18,3),(18,4),(18,19),(19,10),(19,11)],20)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>([(0,7),(1,12),(2,8),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(6,8),(7,2),(7,6),(8,12),(9,13),(10,13),(11,13),(12,3),(12,4),(12,5)],14)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>([(0,7),(1,10),(1,12),(2,10),(2,11),(3,8),(4,9),(5,4),(5,13),(6,5),(6,8),(7,3),(7,6),(8,13),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,2),(13,9)],15)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,2),(1,16),(2,4),(2,5),(2,16),(3,9),(3,10),(4,8),(4,12),(5,11),(5,12),(6,13),(6,15),(7,13),(7,14),(8,19),(9,18),(10,18),(11,6),(11,7),(11,19),(12,19),(13,17),(14,9),(14,17),(15,10),(15,17),(16,8),(16,11),(17,18),(19,3),(19,14),(19,15)],20)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,3),(0,4),(1,16),(2,15),(3,14),(4,5),(4,6),(4,14),(5,11),(5,12),(6,11),(6,13),(7,8),(7,9),(8,17),(9,17),(10,17),(11,18),(12,2),(12,18),(13,1),(13,18),(14,12),(14,13),(15,8),(15,10),(16,9),(16,10),(18,7),(18,15),(18,16)],19)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(0,3),(1,14),(2,15),(3,6),(3,7),(3,15),(4,11),(4,13),(5,10),(5,13),(6,8),(6,12),(7,9),(7,12),(8,17),(9,1),(9,17),(10,16),(11,16),(12,17),(13,16),(14,10),(14,11),(15,8),(15,9),(17,4),(17,5),(17,14)],18)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(0,7),(1,8),(1,14),(2,8),(2,13),(3,11),(3,12),(4,10),(4,12),(5,10),(5,11),(6,9),(7,1),(7,2),(7,9),(8,16),(9,13),(9,14),(10,15),(11,15),(12,15),(13,16),(14,16),(16,3),(16,4),(16,5)],17)
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>([(0,1),(0,2),(1,16),(2,4),(2,5),(2,16),(3,11),(3,15),(4,10),(4,13),(5,12),(5,13),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,18),(10,19),(11,17),(12,3),(12,6),(12,19),(13,19),(14,9),(14,17),(15,8),(15,17),(16,10),(16,12),(17,18),(19,11),(19,14)],20)
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(0,3),(1,8),(2,15),(3,6),(3,7),(3,15),(4,11),(4,14),(5,10),(5,14),(6,9),(6,13),(7,12),(7,13),(9,17),(10,16),(11,16),(12,4),(12,5),(12,17),(13,17),(14,1),(14,16),(15,9),(15,12),(16,8),(17,10),(17,11)],18)
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,16),(2,3),(2,6),(2,16),(3,12),(3,15),(4,11),(4,13),(5,10),(5,13),(6,7),(6,14),(6,15),(7,8),(7,9),(8,19),(9,4),(9,5),(9,19),(10,17),(11,17),(12,18),(13,17),(14,8),(14,18),(15,9),(15,18),(16,12),(16,14),(18,19),(19,10),(19,11)],20)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,1),(5,8),(6,2),(6,9),(7,4),(7,6),(8,10),(9,11),(11,3),(11,5)],12)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>([(0,7),(1,9),(2,9),(4,10),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(9,3),(10,1),(10,2)],11)
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,2),(0,3),(1,8),(2,15),(3,6),(3,7),(3,15),(4,10),(4,14),(5,11),(5,14),(6,9),(6,13),(7,12),(7,13),(9,17),(10,16),(11,1),(11,16),(12,4),(12,5),(12,17),(13,17),(14,16),(15,9),(15,12),(16,8),(17,10),(17,11)],18)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,6),(0,7),(2,10),(2,13),(3,10),(3,14),(4,8),(4,12),(5,8),(5,11),(6,9),(7,2),(7,3),(7,9),(8,16),(9,13),(9,14),(10,15),(11,16),(12,16),(13,15),(14,4),(14,5),(14,15),(15,11),(15,12),(16,1)],17)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,7),(1,9),(2,10),(2,13),(3,10),(3,14),(4,8),(4,12),(5,8),(5,11),(6,2),(6,3),(6,9),(7,1),(7,6),(8,16),(9,13),(9,14),(10,15),(11,16),(12,16),(13,15),(14,4),(14,5),(14,15),(15,11),(15,12)],17)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,16),(2,3),(2,6),(2,16),(3,10),(3,15),(4,12),(4,13),(5,11),(5,13),(6,7),(6,14),(6,15),(7,8),(7,9),(8,19),(9,19),(10,18),(11,17),(12,17),(13,17),(14,9),(14,18),(15,8),(15,18),(16,10),(16,14),(18,4),(18,5),(18,19),(19,11),(19,12)],20)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,6),(0,7),(1,13),(2,11),(3,10),(3,12),(4,10),(4,14),(5,8),(6,9),(7,3),(7,4),(7,9),(8,11),(9,12),(9,14),(10,15),(12,15),(13,2),(13,8),(14,1),(14,15),(15,5),(15,13)],16)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,4),(0,5),(1,3),(1,14),(2,15),(3,8),(4,6),(4,7),(4,16),(5,2),(5,16),(6,9),(6,13),(7,9),(7,12),(9,18),(10,17),(11,17),(12,10),(12,18),(13,11),(13,18),(14,8),(15,10),(15,11),(16,12),(16,13),(16,15),(17,14),(18,1),(18,17)],19)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,4),(0,5),(2,14),(3,11),(4,6),(4,7),(4,15),(5,2),(5,15),(6,10),(6,13),(7,10),(7,12),(8,17),(9,17),(10,16),(11,1),(12,8),(12,16),(13,9),(13,16),(14,8),(14,9),(15,12),(15,13),(15,14),(16,3),(16,17),(17,11)],18)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,4),(0,5),(1,3),(1,15),(2,13),(3,12),(4,14),(5,6),(5,7),(5,14),(6,9),(6,10),(7,10),(7,11),(9,16),(10,16),(11,1),(11,16),(12,8),(13,8),(14,9),(14,11),(15,12),(15,13),(16,2),(16,15)],17)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,12),(3,10),(4,9),(4,13),(5,9),(5,11),(6,8),(7,4),(7,5),(7,8),(8,11),(8,13),(9,14),(10,12),(11,14),(12,1),(13,3),(13,14),(14,2),(14,10)],15)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,5),(0,7),(1,11),(2,10),(2,13),(3,10),(3,12),(4,9),(5,8),(6,1),(6,9),(7,2),(7,3),(7,8),(8,12),(8,13),(9,11),(10,14),(12,14),(13,14),(14,4),(14,6)],15)
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,12),(3,12),(4,9),(4,11),(5,9),(5,10),(6,8),(7,4),(7,5),(7,8),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(13,2),(13,3)],14)
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>([(0,5),(0,7),(1,11),(2,10),(3,9),(3,13),(4,9),(4,14),(5,8),(6,1),(6,12),(7,3),(7,4),(7,8),(8,13),(8,14),(9,15),(10,12),(12,11),(13,15),(14,2),(14,15),(15,6),(15,10)],16)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7)=>([(0,4),(0,5),(1,14),(2,3),(2,16),(3,13),(4,15),(5,6),(5,7),(5,15),(6,9),(6,10),(7,9),(7,11),(9,17),(10,1),(10,17),(11,2),(11,17),(12,8),(13,8),(14,12),(15,10),(15,11),(16,12),(16,13),(17,14),(17,16)],18)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,11),(3,10),(4,9),(4,12),(5,9),(5,13),(6,8),(7,4),(7,5),(7,8),(8,12),(8,13),(9,15),(10,14),(11,14),(12,3),(12,15),(13,2),(13,15),(14,1),(15,10),(15,11)],16)
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>([(0,1),(1,2),(1,3),(2,15),(3,4),(3,6),(3,15),(4,10),(4,14),(5,9),(5,11),(6,7),(6,13),(6,14),(7,8),(7,12),(8,16),(9,17),(10,18),(11,17),(12,11),(12,16),(13,5),(13,12),(13,18),(14,8),(14,18),(15,10),(15,13),(16,17),(18,9),(18,16)],19)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,4),(0,5),(1,14),(2,15),(3,16),(4,6),(4,7),(4,17),(5,3),(5,17),(6,9),(6,12),(7,9),(7,13),(9,19),(10,18),(11,2),(11,18),(12,10),(12,19),(13,11),(13,19),(14,8),(15,8),(16,10),(16,11),(17,12),(17,13),(17,16),(18,14),(18,15),(19,1),(19,18)],20)
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,17),(2,16),(3,15),(4,14),(5,6),(5,7),(5,14),(6,11),(6,13),(7,12),(7,13),(8,18),(9,18),(10,18),(11,3),(11,19),(12,2),(12,19),(13,1),(13,19),(14,11),(14,12),(15,8),(15,9),(16,8),(16,10),(17,9),(17,10),(19,15),(19,16),(19,17)],20)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,3),(0,4),(1,15),(2,16),(3,14),(4,5),(4,6),(4,14),(5,11),(5,13),(6,12),(6,13),(7,8),(7,9),(8,17),(9,17),(10,17),(11,18),(12,2),(12,18),(13,1),(13,18),(14,11),(14,12),(15,8),(15,10),(16,9),(16,10),(18,7),(18,15),(18,16)],19)
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(0,3),(1,14),(2,15),(3,6),(3,7),(3,15),(4,11),(4,13),(5,10),(5,13),(6,9),(6,12),(7,8),(7,12),(8,17),(9,17),(10,16),(11,16),(12,1),(12,17),(13,16),(14,10),(14,11),(15,8),(15,9),(17,4),(17,5),(17,14)],18)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,4),(0,5),(1,14),(2,11),(3,13),(4,15),(5,6),(5,7),(5,15),(6,8),(6,9),(7,8),(7,10),(8,16),(9,1),(9,16),(10,3),(10,16),(12,11),(13,12),(14,2),(14,12),(15,9),(15,10),(16,13),(16,14)],17)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(2,15),(3,2),(3,16),(4,6),(4,7),(4,16),(5,8),(5,9),(6,10),(6,12),(7,10),(7,13),(8,18),(9,18),(10,19),(11,17),(12,11),(12,19),(13,5),(13,14),(13,19),(14,8),(14,17),(15,11),(15,14),(16,12),(16,13),(16,15),(17,18),(18,1),(19,9),(19,17)],20)
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>([(0,6),(0,7),(1,11),(2,5),(2,16),(3,12),(4,13),(5,10),(6,3),(6,15),(7,4),(7,15),(9,8),(10,8),(11,9),(12,1),(12,14),(13,2),(13,14),(14,11),(14,16),(15,12),(15,13),(16,9),(16,10)],17)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,11),(3,10),(4,13),(5,14),(6,4),(6,9),(7,5),(7,9),(8,10),(8,11),(9,13),(9,14),(10,12),(11,12),(12,1),(13,3),(13,8),(14,2),(14,8)],15)
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>([(0,7),(1,10),(2,11),(3,8),(4,5),(4,13),(5,2),(5,9),(6,4),(6,8),(7,3),(7,6),(8,13),(9,10),(9,11),(10,12),(11,12),(13,1),(13,9)],14)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>([(0,7),(1,10),(3,8),(4,9),(5,4),(5,11),(6,5),(6,8),(7,3),(7,6),(8,11),(9,10),(10,2),(11,1),(11,9)],12)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,6),(0,7),(1,11),(2,10),(3,12),(4,13),(5,8),(6,3),(6,15),(7,4),(7,15),(9,8),(10,9),(11,5),(11,9),(12,1),(12,14),(13,2),(13,14),(14,10),(14,11),(15,12),(15,13)],16)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>([(0,7),(1,10),(2,11),(3,9),(4,8),(5,2),(5,12),(6,5),(6,8),(7,4),(7,6),(8,12),(9,10),(11,1),(11,9),(12,3),(12,11)],13)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7)=>([(0,5),(0,6),(1,12),(2,11),(3,15),(4,16),(5,2),(5,13),(6,1),(6,13),(7,9),(7,10),(8,17),(9,17),(10,17),(11,3),(11,14),(12,4),(12,14),(13,11),(13,12),(14,7),(14,15),(14,16),(15,8),(15,9),(16,8),(16,10)],18)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,4),(0,5),(1,15),(2,14),(3,11),(4,6),(4,7),(4,16),(5,1),(5,16),(6,10),(6,13),(7,10),(7,12),(8,18),(9,18),(10,17),(12,8),(12,17),(13,9),(13,17),(14,11),(15,8),(15,9),(16,12),(16,13),(16,15),(17,2),(17,18),(18,3),(18,14)],19)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,6),(0,7),(1,14),(2,8),(3,10),(4,12),(4,13),(5,11),(5,13),(6,9),(7,4),(7,5),(7,9),(8,10),(9,11),(9,12),(11,15),(12,15),(13,1),(13,15),(14,3),(14,8),(15,2),(15,14)],16)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,4),(0,5),(1,14),(2,11),(3,13),(4,15),(5,6),(5,7),(5,15),(6,9),(6,10),(7,8),(7,10),(8,16),(9,3),(9,16),(10,1),(10,16),(12,11),(13,12),(14,2),(14,12),(15,8),(15,9),(16,13),(16,14)],17)
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>([(0,7),(1,9),(2,9),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(9,5)],10)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>([(0,4),(0,5),(1,15),(2,11),(3,16),(4,6),(4,7),(4,17),(5,3),(5,17),(6,10),(6,13),(7,10),(7,12),(8,19),(9,19),(10,1),(10,18),(12,8),(12,18),(13,9),(13,18),(14,11),(15,2),(15,14),(16,8),(16,9),(17,12),(17,13),(17,16),(18,15),(18,19),(19,14)],20)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,6),(0,7),(1,13),(2,11),(2,12),(3,10),(3,12),(4,8),(5,8),(6,9),(7,2),(7,3),(7,9),(9,10),(9,11),(10,14),(11,14),(12,1),(12,14),(13,4),(13,5),(14,13)],15)
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>([(0,4),(0,5),(1,13),(2,12),(3,6),(3,7),(3,15),(4,1),(4,14),(5,2),(5,14),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,16),(11,15),(12,11),(13,3),(13,11),(14,12),(14,13),(15,8),(15,9)],17)
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,13),(2,8),(3,10),(3,12),(4,10),(4,11),(5,9),(6,1),(6,9),(7,3),(7,4),(7,8),(8,11),(8,12),(9,13),(10,14),(11,14),(12,14),(13,2),(13,7)],15)
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,12),(2,13),(3,11),(3,14),(4,10),(4,14),(5,9),(5,15),(6,9),(6,16),(7,2),(7,15),(7,16),(9,17),(10,18),(11,18),(12,19),(13,3),(13,4),(13,19),(14,1),(14,18),(15,12),(15,17),(16,13),(16,17),(17,19),(18,8),(19,10),(19,11)],20)
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,4),(0,7),(1,12),(2,11),(3,10),(4,8),(5,3),(5,9),(6,2),(6,9),(7,1),(7,8),(8,12),(9,10),(9,11),(10,13),(11,13),(12,5),(12,6)],14)
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>([(0,5),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,4),(6,11),(7,1),(7,8),(8,12),(9,10),(11,3),(11,9),(12,2),(12,6)],13)
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,6),(0,7),(1,10),(2,10),(3,11),(4,8),(5,8),(6,9),(7,3),(7,9),(9,11),(10,4),(10,5),(11,1),(11,2)],12)
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>([(0,7),(1,9),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(5,6),(5,12),(6,2),(6,3),(6,13),(7,1),(7,4),(8,14),(9,12),(10,14),(11,14),(12,13),(13,10),(13,11)],15)
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>([(0,7),(2,11),(3,10),(4,9),(5,6),(5,11),(6,4),(6,8),(7,2),(7,5),(8,9),(8,10),(9,12),(10,12),(11,3),(11,8),(12,1)],13)
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>([(0,7),(1,14),(2,9),(3,10),(4,3),(4,8),(5,6),(5,8),(6,1),(6,11),(7,4),(7,5),(8,10),(8,11),(10,13),(11,13),(11,14),(12,9),(13,12),(14,2),(14,12)],15)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>([(0,7),(1,12),(2,13),(3,9),(4,11),(5,6),(5,12),(6,2),(6,8),(7,1),(7,5),(8,11),(8,13),(10,9),(11,10),(12,4),(12,8),(13,3),(13,10)],14)
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>([(0,5),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,6),(6,1),(6,7),(7,2),(7,3),(7,4),(7,8),(8,12),(8,13),(8,14),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,17),(3,16),(4,1),(4,14),(5,2),(5,14),(6,7),(6,11),(6,12),(7,8),(7,9),(8,19),(9,19),(10,18),(11,8),(11,18),(12,9),(12,18),(13,15),(14,13),(14,17),(15,10),(15,11),(16,10),(16,12),(17,6),(17,15),(17,16),(18,19)],20)
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,15),(3,11),(4,1),(4,11),(5,7),(5,12),(5,13),(6,10),(6,13),(7,8),(7,9),(8,17),(9,17),(10,16),(11,14),(12,8),(12,16),(13,9),(13,16),(14,5),(14,6),(14,15),(15,10),(15,12),(16,17)],18)
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,12),(1,13),(2,11),(2,13),(3,10),(4,9),(5,8),(6,4),(6,14),(7,6),(7,8),(8,14),(9,11),(9,12),(11,15),(12,15),(13,3),(13,15),(14,1),(14,2),(14,9),(15,10)],16)
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(0,7),(1,14),(2,10),(3,11),(4,8),(5,1),(5,12),(6,2),(6,9),(7,5),(7,8),(8,12),(9,10),(9,11),(10,13),(11,13),(12,6),(12,14),(14,3),(14,9)],15)
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,12),(3,9),(4,10),(5,8),(6,1),(6,11),(7,6),(7,8),(8,11),(9,10),(10,2),(11,3),(11,12),(12,4),(12,9)],13)
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>([(0,4),(0,7),(1,9),(2,10),(3,11),(4,8),(5,1),(5,13),(6,2),(6,12),(7,5),(7,8),(8,13),(9,6),(9,11),(11,12),(12,10),(13,3),(13,9)],14)
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>([(0,6),(0,7),(1,5),(1,13),(2,12),(3,4),(3,15),(4,11),(5,8),(6,2),(6,14),(7,3),(7,14),(9,13),(10,9),(11,1),(11,9),(12,10),(13,8),(14,12),(14,15),(15,10),(15,11)],16)
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,2),(0,3),(1,5),(1,6),(1,16),(2,12),(3,1),(3,12),(4,9),(4,10),(5,11),(5,15),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(9,18),(10,18),(11,19),(12,16),(13,9),(13,17),(14,8),(14,19),(15,4),(15,13),(15,19),(16,11),(16,14),(17,18),(19,10),(19,17)],20)
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12)
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>([(0,6),(0,7),(1,13),(2,4),(2,17),(3,5),(3,18),(4,9),(5,12),(6,2),(6,15),(7,3),(7,15),(9,10),(10,11),(11,8),(12,1),(12,16),(13,8),(14,10),(14,16),(15,17),(15,18),(16,11),(16,13),(17,9),(17,14),(18,12),(18,14)],19)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,6),(0,7),(1,14),(2,13),(4,9),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,9),(8,10),(9,12),(10,12),(10,14),(11,13),(12,11),(13,3),(14,2),(14,11)],15)
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,6),(0,7),(1,12),(2,13),(3,11),(4,5),(4,16),(5,10),(6,4),(6,15),(7,3),(7,15),(9,2),(9,14),(10,1),(10,14),(11,9),(12,8),(13,8),(14,12),(14,13),(15,11),(15,16),(16,9),(16,10)],17)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>([(0,4),(0,7),(1,10),(2,12),(3,8),(4,9),(5,2),(5,11),(6,1),(6,8),(7,5),(7,9),(8,10),(9,11),(11,12),(12,3),(12,6)],13)
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,10),(2,10),(4,11),(5,8),(6,4),(6,9),(7,6),(7,8),(8,9),(9,11),(10,3),(11,1),(11,2)],12)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,2),(0,3),(1,6),(1,7),(1,15),(2,14),(3,1),(3,14),(4,11),(4,12),(5,10),(5,12),(6,9),(6,13),(7,8),(7,13),(8,17),(9,17),(10,16),(11,16),(12,16),(13,4),(13,5),(13,17),(14,15),(15,8),(15,9),(17,10),(17,11)],18)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10)
([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,16),(2,9),(2,10),(3,12),(3,13),(4,11),(4,13),(5,8),(5,14),(6,8),(6,15),(7,2),(7,14),(7,15),(8,18),(9,19),(10,1),(10,19),(11,17),(12,17),(13,17),(14,9),(14,18),(15,10),(15,18),(16,11),(16,12),(18,19),(19,16)],20)
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>([(0,5),(0,6),(1,12),(2,10),(2,11),(3,9),(3,11),(4,9),(4,10),(5,8),(6,1),(6,8),(7,2),(7,3),(7,4),(8,12),(9,13),(10,13),(11,13),(12,7)],14)
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([(0,4),(0,6),(1,8),(1,13),(2,8),(2,12),(3,11),(4,9),(5,3),(5,10),(6,7),(6,9),(7,1),(7,2),(7,14),(8,5),(8,15),(9,14),(10,11),(12,15),(13,15),(14,12),(14,13),(15,10)],16)
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10)
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>([(0,4),(0,6),(1,8),(1,11),(2,8),(2,10),(3,12),(4,9),(5,3),(5,13),(6,5),(6,9),(7,1),(7,2),(7,14),(8,15),(9,13),(10,15),(11,15),(12,14),(13,7),(13,12),(14,10),(14,11)],16)
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>([(0,4),(0,7),(2,10),(3,9),(4,8),(5,3),(5,11),(6,1),(7,5),(7,8),(8,11),(9,10),(10,6),(11,2),(11,9)],12)
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>([(0,6),(0,7),(1,5),(1,9),(2,3),(2,14),(3,13),(4,12),(5,4),(5,15),(6,10),(7,1),(7,10),(9,2),(9,15),(10,9),(11,8),(12,11),(13,8),(14,11),(14,13),(15,12),(15,14)],16)
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>([(0,4),(0,7),(1,9),(2,10),(3,11),(4,8),(5,3),(5,12),(6,1),(6,13),(7,5),(7,8),(8,12),(9,10),(11,13),(12,6),(12,11),(13,2),(13,9)],14)
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>([(0,4),(0,5),(1,3),(1,14),(2,15),(3,6),(3,7),(3,16),(4,11),(5,1),(5,11),(6,10),(6,13),(7,10),(7,12),(8,18),(9,18),(10,17),(11,14),(12,8),(12,17),(13,9),(13,17),(14,2),(14,16),(15,8),(15,9),(16,12),(16,13),(16,15),(17,18)],19)
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(0,7),(1,14),(2,10),(3,12),(4,8),(5,6),(5,13),(6,3),(6,9),(7,5),(7,8),(8,13),(9,12),(9,14),(11,10),(12,11),(13,1),(13,9),(14,2),(14,11)],15)
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,5),(0,7),(1,12),(2,8),(3,8),(4,10),(5,9),(6,4),(6,11),(7,6),(7,9),(9,11),(10,12),(11,1),(11,10),(12,2),(12,3)],13)
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>([(0,2),(0,3),(1,4),(1,5),(1,16),(2,11),(3,1),(3,11),(4,10),(4,13),(5,10),(5,12),(6,7),(6,14),(6,15),(7,8),(7,9),(8,18),(9,18),(10,17),(11,16),(12,14),(12,17),(13,15),(13,17),(14,8),(14,19),(15,9),(15,19),(16,6),(16,12),(16,13),(17,19),(19,18)],20)
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([(0,6),(1,12),(2,8),(2,9),(3,9),(3,10),(4,8),(4,10),(5,1),(5,11),(6,7),(7,2),(7,3),(7,4),(8,13),(9,13),(10,5),(10,13),(11,12),(13,11)],14)
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>([(0,4),(0,6),(1,8),(1,12),(2,8),(2,13),(3,11),(4,9),(5,3),(5,10),(6,7),(6,9),(7,1),(7,2),(7,14),(8,15),(9,14),(10,11),(12,15),(13,5),(13,15),(14,12),(14,13),(15,10)],16)
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([(0,6),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,1),(6,7),(7,2),(7,3),(7,4),(8,11),(9,11),(10,11),(11,5)],12)
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([(0,4),(0,6),(2,8),(2,11),(3,8),(3,10),(4,9),(5,1),(6,7),(6,9),(7,2),(7,3),(7,12),(8,13),(9,12),(10,13),(11,13),(12,10),(12,11),(13,5)],14)
([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>([(0,3),(0,6),(1,8),(1,11),(2,8),(2,10),(3,9),(4,5),(4,13),(5,7),(5,12),(6,4),(6,9),(7,1),(7,2),(7,14),(8,15),(9,13),(10,15),(11,15),(12,14),(13,12),(14,10),(14,11)],16)
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,9),(1,10),(2,8),(2,10),(3,8),(3,9),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3),(8,11),(9,11),(10,11)],12)
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,11),(2,10),(3,8),(4,8),(5,2),(5,9),(6,1),(6,9),(7,3),(7,4),(9,10),(9,11),(10,12),(11,12),(12,7)],13)
([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>([(0,2),(0,3),(1,4),(1,5),(1,16),(2,11),(3,1),(3,11),(4,10),(4,15),(5,6),(5,14),(5,15),(6,7),(6,12),(6,13),(7,8),(7,9),(8,18),(9,18),(10,17),(11,16),(12,8),(12,19),(13,9),(13,19),(14,13),(14,17),(15,12),(15,17),(16,10),(16,14),(17,19),(19,18)],20)
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,6),(0,7),(1,8),(2,10),(3,12),(4,11),(5,2),(5,8),(6,4),(6,9),(7,3),(7,9),(8,10),(9,11),(9,12),(11,13),(12,13),(13,1),(13,5)],14)
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,6),(0,7),(1,11),(2,11),(4,10),(5,9),(6,5),(6,8),(7,4),(7,8),(8,9),(8,10),(9,12),(10,12),(11,3),(12,1),(12,2)],13)
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>([(0,6),(0,7),(1,5),(1,13),(2,12),(3,4),(3,15),(4,10),(5,8),(6,2),(6,14),(7,3),(7,14),(9,13),(10,9),(11,1),(11,9),(12,11),(13,8),(14,12),(14,15),(15,10),(15,11)],16)
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>([(0,6),(1,8),(1,10),(2,8),(2,9),(3,11),(3,12),(4,5),(4,9),(4,10),(5,3),(5,13),(5,14),(6,7),(7,1),(7,2),(7,4),(8,15),(9,13),(9,15),(10,14),(10,15),(11,17),(12,17),(13,11),(13,16),(14,12),(14,16),(15,16),(16,17)],18)
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>([(0,5),(1,9),(2,8),(2,11),(3,8),(3,10),(4,7),(4,9),(5,6),(6,1),(6,4),(7,2),(7,3),(7,12),(8,13),(9,12),(10,13),(11,13),(12,10),(12,11)],14)
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7)=>([(0,5),(0,6),(1,4),(1,18),(2,3),(2,17),(3,11),(4,12),(5,2),(5,13),(6,1),(6,13),(7,9),(7,10),(8,19),(9,19),(10,19),(11,14),(12,15),(13,17),(13,18),(14,8),(14,9),(15,8),(15,10),(16,7),(16,14),(16,15),(17,11),(17,16),(18,12),(18,16)],20)
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,16),(3,11),(4,1),(4,14),(5,2),(5,14),(6,9),(6,10),(7,8),(7,10),(8,17),(9,17),(10,17),(11,15),(12,6),(12,7),(12,15),(13,12),(14,13),(14,16),(15,8),(15,9),(16,11),(16,12)],18)
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(0,7),(1,13),(2,12),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,2),(6,8),(7,1),(7,8),(8,12),(8,13),(9,15),(10,15),(11,15),(12,14),(13,14),(14,3),(14,4),(14,5)],16)
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,3),(0,4),(1,11),(2,6),(2,7),(2,15),(3,12),(4,2),(4,12),(5,8),(5,10),(6,9),(6,14),(7,5),(7,13),(7,14),(8,17),(9,16),(10,1),(10,17),(12,15),(13,8),(13,16),(14,10),(14,16),(15,9),(15,13),(16,17),(17,11)],18)
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10)
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>([(0,6),(0,7),(2,9),(3,10),(4,1),(5,3),(5,11),(6,5),(6,8),(7,2),(7,8),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,4)],14)
([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,14),(2,8),(3,9),(3,10),(4,3),(4,12),(4,13),(5,11),(5,15),(6,11),(6,16),(7,4),(7,15),(7,16),(9,19),(10,1),(10,19),(11,17),(12,10),(12,18),(13,9),(13,18),(14,8),(15,12),(15,17),(16,13),(16,17),(17,18),(18,19),(19,14)],20)
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>([(0,4),(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,11),(6,5),(6,9),(7,2),(7,3),(9,11),(10,7),(11,10)],12)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,4),(0,5),(0,7),(2,11),(2,13),(3,8),(3,12),(4,10),(4,14),(5,9),(5,10),(6,1),(7,2),(7,9),(7,14),(8,16),(9,13),(9,17),(10,17),(11,12),(11,15),(12,16),(13,15),(14,3),(14,11),(14,17),(15,16),(16,6),(17,8),(17,15)],18)
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>([(0,5),(0,6),(1,11),(2,10),(3,9),(3,13),(4,9),(4,14),(5,8),(6,1),(6,8),(7,3),(7,4),(7,12),(8,7),(8,11),(9,15),(11,12),(12,13),(12,14),(13,15),(14,2),(14,15),(15,10)],16)
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,14),(3,9),(3,11),(4,8),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(8,2),(8,17),(9,19),(10,1),(11,19),(12,18),(13,9),(13,17),(14,10),(15,8),(15,18),(16,3),(16,13),(16,18),(17,14),(17,19),(18,11),(18,17),(19,10)],20)
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>([(0,4),(0,7),(2,9),(3,11),(4,8),(5,1),(6,2),(6,10),(7,3),(7,8),(8,6),(8,11),(9,5),(10,9),(11,10)],12)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>([(0,4),(0,5),(1,11),(2,15),(3,6),(3,7),(3,16),(4,14),(5,3),(5,14),(6,9),(6,12),(7,9),(7,13),(8,18),(9,17),(10,1),(10,18),(12,8),(12,17),(13,10),(13,17),(14,2),(14,16),(15,8),(15,10),(16,12),(16,13),(16,15),(17,18),(18,11)],19)
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>([(0,6),(0,7),(1,13),(2,5),(2,16),(3,12),(4,9),(5,4),(5,14),(6,11),(7,2),(7,11),(9,10),(10,8),(11,1),(11,16),(12,8),(13,3),(13,15),(14,9),(14,15),(15,10),(15,12),(16,13),(16,14)],17)
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>([(0,5),(0,7),(1,12),(2,10),(3,9),(4,8),(5,11),(6,2),(6,9),(7,4),(7,11),(8,12),(9,10),(11,1),(11,8),(12,3),(12,6)],13)
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>([(0,5),(0,7),(1,14),(2,10),(3,11),(4,8),(5,13),(6,3),(6,9),(7,6),(7,13),(8,10),(9,11),(9,14),(11,12),(12,2),(12,8),(13,1),(13,9),(14,4),(14,12)],15)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>([(0,6),(0,7),(1,5),(1,15),(2,4),(2,14),(3,8),(4,10),(5,13),(6,12),(7,2),(7,12),(9,11),(10,9),(11,8),(12,1),(12,14),(13,3),(13,11),(14,10),(14,15),(15,9),(15,13)],16)
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>([(0,5),(0,7),(1,10),(2,11),(3,13),(4,8),(5,9),(6,3),(6,12),(7,2),(7,9),(8,10),(9,6),(9,11),(11,12),(12,4),(12,13),(13,1),(13,8)],14)
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,8),(3,9),(3,10),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(9,18),(10,1),(10,18),(11,17),(12,19),(13,10),(13,17),(14,8),(15,11),(15,19),(16,3),(16,13),(16,19),(17,18),(18,2),(18,14),(19,9),(19,17)],20)
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>([(0,6),(0,7),(1,5),(1,15),(2,4),(2,14),(3,13),(4,12),(5,3),(5,16),(6,9),(7,2),(7,9),(9,1),(9,14),(10,11),(11,8),(12,10),(13,8),(14,12),(14,15),(15,10),(15,16),(16,11),(16,13)],17)
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>([(0,4),(0,7),(1,12),(2,10),(3,11),(4,8),(5,3),(5,9),(6,5),(6,14),(7,1),(7,8),(8,6),(8,12),(9,10),(9,11),(10,13),(11,13),(12,14),(14,2),(14,9)],15)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,10),(3,9),(3,11),(4,8),(4,13),(5,12),(5,14),(6,12),(6,15),(7,4),(7,14),(7,15),(8,16),(9,17),(10,1),(11,2),(11,17),(12,18),(13,9),(13,16),(14,8),(14,18),(15,3),(15,13),(15,18),(16,17),(17,10),(18,11),(18,16)],19)
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,10),(3,9),(3,11),(4,8),(4,13),(5,12),(5,14),(6,12),(6,15),(7,4),(7,14),(7,15),(8,16),(9,2),(9,17),(10,1),(11,17),(12,18),(13,9),(13,16),(14,8),(14,18),(15,3),(15,13),(15,18),(16,17),(17,10),(18,11),(18,16)],19)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>([(0,4),(0,5),(1,15),(2,16),(3,6),(3,7),(3,17),(4,14),(5,3),(5,14),(6,11),(6,13),(7,11),(7,12),(9,19),(10,19),(11,1),(11,18),(12,9),(12,18),(13,10),(13,18),(14,2),(14,17),(15,8),(16,9),(16,10),(17,12),(17,13),(17,16),(18,15),(18,19),(19,8)],20)
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>([(0,5),(0,7),(1,13),(3,12),(4,10),(5,11),(6,4),(6,8),(7,6),(7,11),(8,10),(8,12),(9,13),(10,9),(11,3),(11,8),(12,1),(12,9),(13,2)],14)
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([(0,6),(0,7),(1,8),(2,9),(3,9),(5,11),(6,10),(7,1),(7,10),(8,11),(9,4),(10,5),(10,8),(11,2),(11,3)],12)
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>([(0,4),(0,5),(2,14),(3,6),(3,7),(3,15),(4,13),(5,3),(5,13),(6,10),(6,12),(7,10),(7,11),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,2),(13,15),(14,8),(14,9),(15,11),(15,12),(15,14),(16,17),(17,1)],18)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>([(0,4),(0,7),(2,10),(3,9),(4,8),(5,3),(5,12),(6,2),(6,11),(7,5),(7,8),(8,6),(8,12),(9,13),(10,14),(11,10),(11,13),(12,9),(12,11),(13,14),(14,1)],15)
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,5),(0,7),(2,10),(3,12),(4,8),(5,9),(6,4),(6,11),(7,2),(7,9),(8,12),(9,6),(9,10),(10,11),(11,3),(11,8),(12,1)],13)
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,14),(2,8),(3,9),(3,10),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(9,18),(10,1),(10,18),(11,17),(12,19),(13,9),(13,17),(14,8),(15,11),(15,19),(16,3),(16,13),(16,19),(17,18),(18,14),(19,10),(19,17)],20)
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>([(0,3),(0,4),(1,14),(2,6),(2,7),(2,15),(3,13),(4,1),(4,13),(5,8),(5,9),(6,10),(6,12),(7,5),(7,11),(7,12),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,2),(13,14),(14,15),(15,10),(15,11),(16,17)],18)
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,16),(3,15),(4,8),(4,9),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,18),(9,18),(10,1),(10,18),(12,17),(13,3),(13,17),(14,2),(14,17),(15,8),(15,10),(16,9),(16,10),(17,4),(17,15),(17,16),(18,11)],19)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,15),(3,14),(4,8),(4,9),(5,11),(5,12),(6,11),(6,13),(7,12),(7,13),(8,17),(9,17),(10,17),(11,16),(12,3),(12,16),(13,2),(13,16),(14,8),(14,10),(15,9),(15,10),(16,4),(16,14),(16,15),(17,1)],18)
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,15),(3,16),(4,8),(4,10),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,18),(9,18),(10,1),(10,18),(12,17),(13,2),(13,17),(14,3),(14,17),(15,8),(15,9),(16,9),(16,10),(17,4),(17,15),(17,16),(18,11)],19)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,16),(2,13),(2,15),(3,4),(3,14),(3,15),(4,8),(4,11),(5,9),(5,10),(6,10),(6,12),(7,9),(7,12),(8,18),(9,19),(10,19),(11,18),(12,1),(12,19),(13,17),(14,11),(14,17),(15,8),(15,17),(16,13),(16,14),(17,18),(19,2),(19,3),(19,16)],20)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,15),(3,9),(3,10),(4,8),(4,10),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(8,17),(9,17),(10,1),(10,17),(12,16),(13,16),(14,2),(14,16),(15,8),(15,9),(16,3),(16,4),(16,15),(17,11)],18)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,11),(2,15),(3,8),(3,9),(4,8),(4,10),(5,13),(5,14),(6,12),(6,14),(7,12),(7,13),(8,17),(9,17),(10,1),(10,17),(12,16),(13,16),(14,2),(14,16),(15,9),(15,10),(16,3),(16,4),(16,15),(17,11)],18)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,11),(2,13),(3,11),(3,12),(4,10),(5,9),(5,14),(6,8),(6,14),(7,8),(7,9),(8,16),(9,16),(10,12),(10,13),(11,15),(12,15),(13,15),(14,4),(14,16),(15,1),(16,2),(16,3),(16,10)],17)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,13),(1,15),(2,13),(2,14),(3,4),(3,14),(3,15),(4,11),(4,12),(5,9),(5,10),(6,8),(6,10),(7,8),(7,9),(8,18),(9,18),(10,18),(11,17),(12,17),(13,16),(14,11),(14,16),(15,12),(15,16),(16,17),(18,1),(18,2),(18,3)],19)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,12),(1,14),(2,11),(2,14),(3,13),(4,11),(4,12),(5,9),(5,10),(6,8),(6,10),(7,8),(7,9),(8,16),(9,16),(10,16),(11,15),(12,15),(14,3),(14,15),(15,13),(16,1),(16,2),(16,4)],17)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>([(0,5),(0,6),(0,7),(2,12),(2,13),(3,11),(3,13),(4,11),(4,12),(5,9),(5,10),(6,8),(6,10),(7,8),(7,9),(8,15),(9,15),(10,15),(11,14),(12,14),(13,14),(14,1),(15,2),(15,3),(15,4)],16)
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,17),(5,11),(5,12),(6,11),(6,13),(7,12),(7,13),(8,19),(9,19),(10,1),(10,19),(11,3),(11,18),(12,2),(12,18),(13,4),(13,18),(15,8),(15,10),(16,9),(16,10),(17,8),(17,9),(18,15),(18,16),(18,17),(19,14)],20)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,16),(3,15),(4,14),(5,11),(5,12),(6,11),(6,13),(7,12),(7,13),(8,18),(9,18),(10,18),(11,4),(11,17),(12,3),(12,17),(13,2),(13,17),(14,8),(14,9),(15,8),(15,10),(16,9),(16,10),(17,14),(17,15),(17,16),(18,1)],19)
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,14),(3,4),(3,17),(4,12),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,18),(10,1),(10,18),(11,3),(11,18),(12,13),(13,8),(14,8),(15,2),(15,16),(16,13),(16,14),(17,12),(17,16),(18,15),(18,17)],19)
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,15),(3,4),(3,13),(4,8),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,16),(10,1),(10,16),(11,2),(11,16),(12,13),(13,8),(14,12),(15,3),(15,12),(16,14),(16,15)],17)
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([(0,5),(0,6),(0,7),(2,9),(3,14),(4,11),(5,8),(5,12),(6,8),(6,13),(7,12),(7,13),(8,15),(9,10),(10,11),(11,1),(12,2),(12,15),(13,3),(13,15),(14,4),(14,10),(15,9),(15,14)],16)
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,15),(3,11),(4,13),(5,9),(5,10),(6,8),(6,9),(7,8),(7,10),(8,16),(9,1),(9,16),(10,2),(10,16),(12,3),(12,13),(13,11),(14,12),(15,4),(15,12),(16,14),(16,15)],17)
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,17),(2,14),(3,15),(4,8),(4,10),(5,11),(5,12),(6,11),(6,13),(7,12),(7,13),(8,18),(9,18),(10,18),(11,19),(12,1),(12,19),(13,2),(13,19),(14,16),(15,9),(15,10),(16,8),(16,9),(17,4),(17,15),(17,16),(19,14),(19,17)],20)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,10),(3,9),(3,11),(4,8),(4,13),(5,12),(5,14),(6,12),(6,15),(7,4),(7,14),(7,15),(8,16),(9,17),(10,1),(11,17),(12,18),(13,9),(13,16),(14,8),(14,18),(15,3),(15,13),(15,18),(16,2),(16,17),(17,10),(18,11),(18,16)],19)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,1),(2,14),(3,8),(3,9),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(8,18),(9,18),(11,17),(12,19),(13,9),(13,17),(14,10),(15,11),(15,19),(16,3),(16,13),(16,19),(17,2),(17,18),(18,14),(19,8),(19,17)],20)
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>([(0,6),(0,7),(1,11),(2,12),(3,13),(4,5),(4,15),(5,10),(6,9),(7,4),(7,9),(9,3),(9,15),(10,1),(10,14),(11,8),(12,8),(13,2),(13,14),(14,11),(14,12),(15,10),(15,13)],16)
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>([(0,4),(0,5),(1,15),(2,6),(2,7),(2,16),(3,11),(4,14),(5,2),(5,14),(6,10),(6,13),(7,10),(7,12),(8,18),(9,18),(10,17),(12,8),(12,17),(13,9),(13,17),(14,1),(14,16),(15,8),(15,9),(16,12),(16,13),(16,15),(17,3),(17,18),(18,11)],19)
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,13),(2,14),(3,2),(3,17),(4,9),(4,10),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(9,19),(10,1),(10,19),(11,18),(12,8),(13,12),(14,8),(15,10),(15,18),(16,9),(16,18),(17,12),(17,14),(18,3),(18,19),(19,13),(19,17)],20)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,17),(2,14),(3,12),(4,9),(4,10),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(9,19),(10,1),(10,19),(11,18),(12,13),(13,8),(14,8),(15,10),(15,18),(16,9),(16,18),(17,13),(17,14),(18,3),(18,19),(19,12),(19,17)],20)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(2,13),(3,12),(4,8),(4,9),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,17),(9,2),(9,17),(10,1),(11,16),(12,10),(13,10),(14,8),(14,16),(15,9),(15,16),(16,3),(16,17),(17,12),(17,13)],18)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,10),(3,13),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,1),(9,18),(11,17),(12,10),(13,2),(13,12),(14,12),(15,9),(15,17),(16,8),(16,17),(17,3),(17,18),(18,13),(18,14)],19)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,5),(0,7),(1,10),(2,12),(3,8),(4,8),(5,9),(6,2),(6,11),(7,1),(7,9),(9,6),(9,10),(10,11),(11,12),(12,3),(12,4)],13)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,10),(3,8),(3,9),(4,11),(4,13),(5,12),(5,14),(6,12),(6,15),(7,4),(7,14),(7,15),(8,17),(9,17),(11,16),(12,18),(13,8),(13,16),(14,11),(14,18),(15,3),(15,13),(15,18),(16,17),(17,1),(17,2),(18,9),(18,16)],19)
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>([(0,4),(0,7),(1,9),(2,12),(3,10),(4,8),(5,1),(5,13),(6,5),(6,11),(7,2),(7,8),(8,6),(8,12),(9,10),(11,13),(12,11),(13,3),(13,9)],14)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,8),(3,9),(3,10),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(9,18),(10,1),(10,18),(11,17),(12,19),(13,9),(13,17),(14,8),(15,11),(15,19),(16,3),(16,13),(16,19),(17,18),(18,2),(18,14),(19,10),(19,17)],20)
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)=>([(0,6),(0,7),(1,11),(2,12),(3,13),(4,5),(4,17),(5,10),(6,4),(6,15),(7,3),(7,15),(9,8),(10,2),(10,16),(11,9),(12,8),(13,1),(13,14),(14,11),(14,16),(15,13),(15,17),(16,9),(16,12),(17,10),(17,14)],18)
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>([(0,4),(0,6),(1,12),(2,8),(2,11),(3,8),(3,10),(4,9),(5,7),(5,13),(6,1),(6,9),(7,2),(7,3),(7,14),(8,15),(9,5),(9,12),(10,15),(11,15),(12,13),(13,14),(14,10),(14,11)],16)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,15),(3,8),(3,10),(4,8),(4,9),(5,11),(5,12),(6,11),(6,13),(7,12),(7,13),(8,17),(9,17),(10,17),(11,18),(12,1),(12,18),(13,2),(13,18),(14,16),(15,3),(15,4),(15,16),(16,9),(16,10),(18,14),(18,15)],19)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(1,14),(2,11),(3,15),(4,5),(4,6),(4,15),(5,9),(5,13),(6,7),(6,12),(6,13),(7,8),(7,10),(8,17),(9,16),(10,1),(10,17),(12,8),(12,16),(13,10),(13,16),(14,11),(15,9),(15,12),(16,17),(17,2),(17,14)],18)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(1,15),(2,11),(3,16),(4,5),(4,6),(4,16),(5,10),(5,14),(6,7),(6,13),(6,14),(7,8),(7,9),(8,18),(9,18),(10,1),(10,17),(12,11),(13,9),(13,17),(14,8),(14,17),(15,12),(16,10),(16,13),(17,15),(17,18),(18,2),(18,12)],19)
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,7),(1,11),(2,8),(3,10),(4,9),(4,12),(5,9),(5,13),(6,4),(6,5),(6,8),(7,2),(7,6),(8,12),(8,13),(9,14),(10,11),(12,14),(13,3),(13,14),(14,1),(14,10)],15)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(0,4),(1,14),(2,11),(3,15),(4,5),(4,6),(4,15),(5,10),(5,13),(6,7),(6,12),(6,13),(7,8),(7,9),(8,17),(9,17),(10,16),(12,9),(12,16),(13,8),(13,16),(14,11),(15,10),(15,12),(16,1),(16,17),(17,2),(17,14)],18)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,3),(0,4),(1,14),(2,15),(3,16),(4,5),(4,6),(4,16),(5,9),(5,13),(6,7),(6,12),(6,13),(7,10),(7,11),(9,17),(10,2),(10,18),(11,1),(11,18),(12,11),(12,17),(13,10),(13,17),(14,8),(15,8),(16,9),(16,12),(17,18),(18,14),(18,15)],19)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(1,16),(2,15),(3,17),(4,5),(4,6),(4,17),(5,7),(5,13),(5,14),(6,11),(6,14),(7,9),(7,10),(9,19),(10,2),(10,19),(11,1),(11,18),(12,8),(13,10),(13,18),(14,9),(14,18),(15,8),(16,12),(17,11),(17,13),(18,16),(18,19),(19,12),(19,15)],20)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([(0,7),(1,13),(1,14),(2,11),(2,13),(3,9),(4,8),(5,10),(6,1),(6,2),(6,8),(7,4),(7,6),(8,11),(8,14),(9,12),(10,12),(11,15),(13,5),(13,15),(14,3),(14,15),(15,9),(15,10)],16)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7)=>([(0,3),(0,4),(1,14),(2,15),(3,16),(4,5),(4,6),(4,16),(5,9),(5,13),(6,7),(6,12),(6,13),(7,10),(7,11),(9,18),(10,17),(11,2),(11,17),(12,11),(12,18),(13,10),(13,18),(14,8),(15,8),(16,9),(16,12),(17,14),(17,15),(18,1),(18,17)],19)
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,1),(1,2),(1,3),(2,15),(3,4),(3,6),(3,15),(4,10),(4,14),(5,9),(5,11),(6,7),(6,13),(6,14),(7,8),(7,12),(8,16),(9,17),(10,18),(11,17),(12,11),(12,16),(13,8),(13,18),(14,5),(14,12),(14,18),(15,10),(15,13),(16,17),(18,9),(18,16)],19)
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>([(0,7),(1,11),(2,9),(3,10),(4,3),(4,8),(5,6),(5,8),(6,1),(6,12),(7,4),(7,5),(8,10),(8,12),(10,14),(11,13),(12,11),(12,14),(13,9),(14,2),(14,13)],15)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>([(0,7),(1,10),(2,11),(3,13),(4,8),(5,2),(5,9),(6,3),(6,9),(7,5),(7,6),(8,10),(9,11),(9,13),(11,12),(12,1),(12,8),(13,4),(13,12)],14)
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,7),(1,10),(2,8),(3,9),(3,11),(4,12),(4,13),(5,4),(5,9),(5,14),(6,3),(6,5),(6,10),(7,1),(7,6),(9,13),(9,16),(10,11),(10,14),(11,16),(12,15),(13,15),(14,12),(14,16),(15,8),(16,2),(16,15)],17)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>([(0,2),(0,3),(1,9),(2,16),(3,4),(3,6),(3,16),(4,10),(4,15),(5,11),(5,12),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(10,18),(11,19),(12,19),(13,11),(13,17),(14,5),(14,13),(14,18),(15,8),(15,18),(16,10),(16,14),(17,1),(17,19),(18,12),(18,17),(19,9)],20)
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,13),(3,14),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,2),(9,18),(10,1),(11,3),(11,17),(12,10),(13,10),(14,12),(15,9),(15,17),(16,8),(16,17),(17,14),(17,18),(18,12),(18,13)],19)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,2),(1,16),(2,12),(3,13),(4,8),(4,10),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,18),(10,1),(10,18),(11,17),(12,9),(13,9),(14,8),(14,17),(15,10),(15,17),(16,12),(16,13),(17,18),(18,3),(18,16)],19)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,13),(3,12),(3,14),(4,8),(5,9),(5,10),(6,9),(6,11),(7,3),(7,10),(7,11),(8,13),(9,15),(10,12),(10,15),(11,14),(11,15),(12,16),(13,2),(14,4),(14,16),(15,16),(16,1),(16,8)],17)
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,13),(2,10),(3,2),(3,12),(4,8),(4,9),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,17),(9,1),(9,17),(11,16),(12,10),(13,12),(14,8),(14,16),(15,9),(15,16),(16,17),(17,3),(17,13)],18)
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>([(0,6),(0,7),(1,9),(2,5),(2,14),(3,13),(4,3),(4,16),(5,4),(5,15),(6,10),(7,2),(7,10),(9,11),(10,1),(10,14),(11,12),(12,8),(13,8),(14,9),(14,15),(15,11),(15,16),(16,12),(16,13)],17)
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>([(0,4),(0,7),(1,9),(3,8),(4,10),(5,2),(6,5),(7,3),(7,10),(8,9),(9,6),(10,1),(10,8)],11)
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>([(0,4),(0,7),(2,9),(3,10),(4,13),(5,6),(5,8),(6,2),(6,11),(7,5),(7,13),(8,10),(8,11),(9,14),(10,12),(11,9),(11,12),(12,14),(13,3),(13,8),(14,1)],15)
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>([(0,4),(0,7),(2,12),(3,10),(4,8),(5,2),(5,9),(6,5),(6,11),(7,3),(7,8),(8,6),(8,10),(9,12),(10,11),(11,9),(12,1)],13)
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>([(0,3),(0,7),(1,8),(2,9),(3,13),(4,5),(4,10),(5,2),(5,11),(6,4),(6,12),(7,1),(7,13),(8,12),(10,11),(11,9),(12,10),(13,6),(13,8)],14)
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,2),(0,3),(1,5),(1,6),(1,16),(2,12),(3,1),(3,12),(4,9),(4,10),(5,11),(5,15),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(9,18),(10,18),(11,19),(12,16),(13,9),(13,17),(14,4),(14,13),(14,19),(15,8),(15,19),(16,11),(16,14),(17,18),(19,10),(19,17)],20)
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,10),(3,15),(4,8),(4,9),(5,11),(5,17),(6,11),(6,16),(7,4),(7,16),(7,17),(8,19),(9,1),(9,19),(11,3),(11,18),(12,10),(13,2),(13,12),(14,12),(15,13),(16,9),(16,18),(17,8),(17,18),(18,15),(18,19),(19,13),(19,14)],20)
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>([(0,6),(1,9),(1,12),(2,8),(2,14),(3,11),(3,13),(4,8),(4,10),(5,3),(5,10),(5,14),(6,7),(7,2),(7,4),(7,5),(8,17),(9,16),(10,13),(10,17),(11,12),(11,15),(12,16),(13,15),(14,1),(14,11),(14,17),(15,16),(17,9),(17,15)],18)
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,2),(0,3),(1,5),(1,7),(1,16),(2,12),(3,1),(3,12),(4,8),(4,9),(5,11),(5,15),(6,10),(6,14),(7,11),(7,13),(8,18),(9,18),(10,17),(11,19),(12,16),(13,10),(13,19),(14,8),(14,17),(15,4),(15,14),(15,19),(16,6),(16,13),(16,15),(17,18),(19,9),(19,17)],20)
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,4),(0,5),(1,13),(2,14),(3,6),(3,7),(3,15),(4,12),(5,3),(5,12),(6,9),(6,11),(7,10),(7,11),(9,16),(10,2),(10,16),(11,1),(11,16),(12,15),(13,8),(14,8),(15,9),(15,10),(16,13),(16,14)],17)
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7)=>([(0,4),(0,5),(1,14),(2,13),(3,6),(3,7),(3,15),(4,12),(5,3),(5,12),(6,9),(6,10),(7,9),(7,11),(9,16),(10,2),(10,16),(11,1),(11,16),(12,15),(13,8),(14,8),(15,10),(15,11),(16,13),(16,14)],17)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,12),(1,13),(2,10),(3,9),(4,8),(4,12),(5,8),(5,13),(6,7),(7,1),(7,4),(7,5),(8,14),(9,11),(10,11),(12,3),(12,14),(13,2),(13,14),(14,9),(14,10)],15)
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,10),(3,8),(3,9),(4,3),(4,12),(4,13),(5,11),(5,15),(6,11),(6,16),(7,4),(7,15),(7,16),(8,19),(9,1),(9,19),(11,17),(12,9),(12,18),(13,8),(13,18),(14,10),(15,12),(15,17),(16,13),(16,17),(17,18),(18,19),(19,2),(19,14)],20)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,5),(0,6),(1,9),(2,12),(2,14),(3,11),(3,14),(4,10),(5,8),(6,7),(6,8),(7,2),(7,3),(7,13),(8,13),(9,10),(11,15),(12,15),(13,11),(13,12),(14,1),(14,15),(15,4),(15,9)],16)
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,3),(0,4),(1,6),(1,7),(1,15),(2,11),(3,12),(4,1),(4,12),(5,8),(5,9),(6,10),(6,14),(7,5),(7,13),(7,14),(8,17),(9,17),(10,16),(12,15),(13,9),(13,16),(14,8),(14,16),(15,10),(15,13),(16,2),(16,17),(17,11)],18)
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,4),(0,5),(1,14),(2,6),(2,7),(2,17),(3,11),(4,1),(4,15),(5,2),(5,15),(6,10),(6,13),(7,10),(7,12),(8,19),(9,19),(10,18),(12,8),(12,18),(13,9),(13,18),(14,16),(15,14),(15,17),(16,8),(16,9),(17,12),(17,13),(17,16),(18,3),(18,19),(19,11)],20)
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,12),(1,13),(2,11),(3,8),(3,10),(4,8),(4,9),(5,1),(5,9),(5,10),(6,7),(7,3),(7,4),(7,5),(8,15),(9,12),(9,15),(10,13),(10,15),(12,14),(13,14),(14,11),(15,2),(15,14)],16)
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>([(0,3),(0,4),(1,6),(1,7),(1,15),(2,11),(3,12),(4,1),(4,12),(5,8),(5,9),(6,10),(6,14),(7,10),(7,13),(8,17),(9,17),(10,16),(12,15),(13,8),(13,16),(14,9),(14,16),(15,5),(15,13),(15,14),(16,2),(16,17),(17,11)],18)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,4),(3,5),(3,16),(4,11),(4,14),(5,11),(5,15),(6,7),(6,12),(6,13),(7,9),(7,10),(9,19),(10,1),(10,19),(11,17),(12,9),(12,18),(13,10),(13,18),(14,12),(14,17),(15,13),(15,17),(16,6),(16,14),(16,15),(17,18),(18,19),(19,8)],20)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([(0,6),(0,7),(1,11),(1,14),(2,12),(4,8),(4,9),(5,8),(5,10),(6,13),(7,4),(7,5),(7,13),(8,16),(9,14),(9,16),(10,11),(10,16),(11,15),(12,3),(13,1),(13,9),(13,10),(14,2),(14,15),(15,12),(16,15)],17)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>([(0,2),(0,3),(2,15),(3,4),(3,5),(3,15),(4,10),(4,12),(5,10),(5,11),(6,7),(6,13),(6,14),(7,8),(7,9),(8,17),(9,17),(10,16),(11,13),(11,16),(12,14),(12,16),(13,8),(13,18),(14,9),(14,18),(15,6),(15,11),(15,12),(16,18),(17,1),(18,17)],19)
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,5),(1,13),(2,11),(2,12),(3,8),(3,10),(4,8),(4,9),(5,7),(6,3),(6,4),(6,13),(7,1),(7,6),(8,15),(9,11),(9,15),(10,12),(10,15),(11,14),(12,14),(13,2),(13,9),(13,10),(15,14)],16)
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,17),(3,16),(4,1),(4,14),(5,2),(5,14),(6,10),(6,12),(7,8),(7,9),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,15),(14,13),(14,17),(15,10),(15,11),(16,7),(16,11),(16,12),(17,6),(17,15),(17,16),(18,19)],20)
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,5),(0,7),(1,14),(2,10),(2,12),(3,10),(3,11),(4,8),(5,9),(6,1),(6,13),(7,6),(7,9),(8,11),(8,12),(9,13),(10,15),(11,15),(12,15),(13,4),(13,14),(14,2),(14,3),(14,8)],16)
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,15),(3,11),(4,1),(4,11),(5,10),(5,13),(6,10),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,14),(12,8),(12,16),(13,9),(13,16),(14,5),(14,6),(14,15),(15,7),(15,12),(15,13),(16,17)],18)
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,2),(0,3),(1,9),(2,16),(3,4),(3,6),(3,16),(4,10),(4,15),(5,11),(5,12),(6,7),(6,14),(6,15),(7,8),(7,13),(8,17),(10,18),(11,1),(11,19),(12,19),(13,11),(13,17),(14,5),(14,13),(14,18),(15,8),(15,18),(16,10),(16,14),(17,19),(18,12),(18,17),(19,9)],20)
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>([(0,7),(1,8),(2,9),(2,12),(3,10),(3,11),(4,6),(4,8),(5,3),(5,9),(5,13),(6,2),(6,5),(6,14),(7,1),(7,4),(8,14),(9,10),(9,15),(10,16),(11,16),(12,15),(13,11),(13,15),(14,12),(14,13),(15,16)],17)
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>([(0,1),(1,2),(1,3),(2,7),(2,14),(3,6),(3,14),(4,11),(5,12),(6,4),(6,15),(7,5),(7,16),(9,8),(10,8),(11,9),(12,10),(13,9),(13,10),(14,15),(14,16),(15,11),(15,13),(16,12),(16,13)],17)
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>([(0,1),(1,3),(1,4),(2,12),(3,7),(3,15),(4,6),(4,15),(5,9),(6,11),(7,5),(7,13),(9,10),(10,8),(11,2),(11,14),(12,8),(13,9),(13,14),(14,10),(14,12),(15,11),(15,13)],16)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>([(0,7),(2,12),(3,11),(4,10),(5,3),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(8,11),(9,12),(10,9),(11,2),(11,9),(12,1)],13)
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)=>([(0,7),(1,11),(2,10),(3,13),(4,14),(5,3),(5,9),(6,4),(6,9),(7,5),(7,6),(8,10),(8,11),(9,13),(9,14),(10,12),(11,12),(13,2),(13,8),(14,1),(14,8)],15)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(1,16),(2,15),(3,17),(4,5),(4,6),(4,17),(5,7),(5,13),(5,14),(6,11),(6,14),(7,9),(7,10),(9,19),(10,2),(10,19),(11,1),(11,18),(12,8),(13,9),(13,18),(14,10),(14,18),(15,8),(16,12),(17,11),(17,13),(18,16),(18,19),(19,12),(19,15)],20)
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,7),(1,8),(2,11),(3,10),(4,9),(4,13),(5,9),(5,14),(6,4),(6,5),(6,8),(7,1),(7,6),(8,13),(8,14),(9,15),(10,12),(11,12),(13,3),(13,15),(14,2),(14,15),(15,10),(15,11)],16)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(0,4),(1,14),(2,15),(3,16),(4,5),(4,6),(4,16),(5,9),(5,13),(6,7),(6,12),(6,13),(7,10),(7,11),(9,18),(10,17),(11,2),(11,17),(12,10),(12,18),(13,11),(13,18),(14,8),(15,8),(16,9),(16,12),(17,14),(17,15),(18,1),(18,17)],19)
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>([(0,4),(0,7),(1,8),(1,12),(2,8),(2,13),(3,11),(4,10),(5,3),(5,14),(6,5),(6,9),(7,1),(7,2),(7,10),(8,15),(9,14),(10,12),(10,13),(12,15),(13,6),(13,15),(14,11),(15,9)],16)
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>([(0,5),(1,9),(1,11),(2,9),(2,12),(3,10),(4,8),(5,6),(6,4),(6,7),(7,1),(7,2),(7,8),(8,11),(8,12),(9,13),(11,13),(12,3),(12,13),(13,10)],14)
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>([(0,5),(0,6),(1,11),(2,4),(2,16),(3,12),(4,13),(5,2),(5,14),(6,3),(6,14),(7,8),(7,9),(8,17),(9,17),(10,1),(10,17),(12,15),(13,9),(13,10),(14,12),(14,16),(15,8),(15,10),(16,7),(16,13),(16,15),(17,11)],18)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([(0,5),(0,6),(2,4),(2,15),(3,11),(4,13),(5,2),(5,12),(6,3),(6,12),(7,9),(7,10),(8,16),(9,16),(10,16),(11,14),(12,11),(12,15),(13,8),(13,9),(14,8),(14,10),(15,7),(15,13),(15,14),(16,1)],17)
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>([(0,7),(2,8),(3,11),(4,5),(4,8),(5,6),(5,10),(6,3),(6,9),(7,2),(7,4),(8,10),(9,11),(10,9),(11,1)],12)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,7),(1,9),(3,8),(3,12),(4,10),(4,11),(5,4),(5,8),(5,13),(6,3),(6,5),(6,9),(7,1),(7,6),(8,11),(8,14),(9,12),(9,13),(10,15),(11,15),(12,14),(13,10),(13,14),(14,15),(15,2)],16)
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(0,3),(2,15),(3,4),(3,5),(3,15),(4,10),(4,14),(5,6),(5,13),(5,14),(6,7),(6,11),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,8),(11,18),(12,9),(12,18),(13,12),(13,16),(14,11),(14,16),(15,10),(15,13),(16,18),(17,1),(18,17)],19)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([(0,7),(1,9),(3,8),(3,11),(4,8),(4,10),(5,6),(5,9),(6,3),(6,4),(6,12),(7,1),(7,5),(8,13),(9,12),(10,13),(11,13),(12,10),(12,11),(13,2)],14)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>([(0,5),(0,7),(2,14),(3,8),(3,10),(4,11),(4,13),(5,9),(6,4),(6,8),(6,12),(7,3),(7,6),(7,9),(8,13),(8,16),(9,10),(9,12),(10,16),(11,15),(12,11),(12,16),(13,2),(13,15),(14,1),(15,14),(16,15)],17)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>([(0,1),(1,3),(1,4),(2,14),(3,15),(4,6),(4,7),(4,15),(5,8),(5,10),(6,11),(6,13),(7,5),(7,12),(7,13),(8,17),(10,17),(11,2),(11,16),(12,10),(12,16),(13,8),(13,16),(14,9),(15,11),(15,12),(16,14),(16,17),(17,9)],18)
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>([(0,7),(1,11),(3,8),(4,9),(4,12),(5,9),(5,10),(6,4),(6,5),(6,8),(7,3),(7,6),(8,10),(8,12),(9,13),(10,13),(11,2),(12,1),(12,13),(13,11)],14)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,15),(3,4),(3,6),(3,15),(4,10),(4,14),(5,9),(5,11),(6,7),(6,13),(6,14),(7,8),(7,12),(8,16),(9,17),(10,18),(11,17),(12,11),(12,16),(13,5),(13,12),(13,18),(14,8),(14,18),(15,10),(15,13),(16,17),(17,1),(18,9),(18,16)],19)
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([(0,4),(0,7),(2,9),(2,11),(3,9),(3,10),(4,8),(5,1),(6,5),(7,2),(7,3),(7,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,6)],13)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([(0,5),(2,9),(2,11),(3,9),(3,10),(4,8),(5,6),(6,4),(6,7),(7,2),(7,3),(7,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>([(0,3),(0,4),(2,14),(3,15),(4,6),(4,7),(4,15),(5,8),(5,9),(6,11),(6,13),(7,5),(7,12),(7,13),(8,17),(9,17),(10,1),(11,2),(11,16),(12,9),(12,16),(13,8),(13,16),(14,10),(15,11),(15,12),(16,14),(16,17),(17,10)],18)
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([(0,7),(1,8),(2,10),(3,9),(3,12),(4,9),(4,13),(5,6),(5,8),(6,3),(6,4),(6,11),(7,1),(7,5),(8,11),(9,14),(11,12),(11,13),(12,14),(13,2),(13,14),(14,10)],15)
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,4),(3,5),(3,16),(4,7),(4,14),(4,15),(5,11),(5,15),(6,9),(6,10),(7,6),(7,12),(7,13),(9,19),(10,19),(11,17),(12,9),(12,18),(13,10),(13,18),(14,13),(14,17),(15,12),(15,17),(16,11),(16,14),(17,18),(18,1),(18,19),(19,8)],20)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,5),(0,7),(1,14),(3,8),(3,10),(4,11),(4,12),(5,9),(6,4),(6,8),(6,13),(7,3),(7,6),(7,9),(8,12),(8,16),(9,10),(9,13),(10,16),(11,15),(12,15),(13,11),(13,16),(14,2),(15,14),(16,1),(16,15)],17)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>([(0,5),(0,7),(2,13),(3,9),(3,12),(4,9),(4,11),(5,8),(6,2),(6,10),(7,3),(7,4),(7,8),(8,11),(8,12),(9,14),(10,13),(11,14),(12,6),(12,14),(13,1),(14,10)],15)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>([(0,2),(0,3),(1,16),(2,13),(3,1),(3,13),(4,10),(4,15),(5,6),(5,14),(5,15),(6,7),(6,11),(6,12),(7,8),(7,9),(8,18),(9,18),(10,17),(11,8),(11,19),(12,9),(12,19),(13,4),(13,5),(13,16),(14,12),(14,17),(15,11),(15,17),(16,10),(16,14),(17,19),(19,18)],20)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,14),(6,1),(6,10),(7,2),(7,14),(8,12),(8,13),(9,6),(9,15),(10,11),(12,15),(13,15),(14,3),(14,4),(14,8),(15,10)],16)
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>([(0,3),(0,4),(1,11),(2,15),(3,12),(4,2),(4,12),(5,9),(5,14),(6,7),(6,13),(6,14),(7,8),(7,10),(8,17),(9,16),(10,1),(10,17),(12,5),(12,6),(12,15),(13,8),(13,16),(14,10),(14,16),(15,9),(15,13),(16,17),(17,11)],18)
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,16),(3,12),(4,1),(4,14),(5,2),(5,14),(6,9),(6,10),(7,8),(7,10),(8,17),(9,17),(10,17),(11,15),(12,6),(12,7),(12,15),(13,11),(14,13),(14,16),(15,8),(15,9),(16,11),(16,12)],18)
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,7),(1,13),(2,10),(2,11),(3,9),(3,11),(4,9),(4,10),(5,8),(6,1),(6,12),(7,6),(7,8),(8,12),(9,14),(10,14),(11,14),(12,13),(13,2),(13,3),(13,4)],15)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>([(0,6),(1,11),(2,11),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,7),(7,1),(7,2),(8,12),(9,12),(10,12),(11,3),(11,4),(11,5)],13)
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,12),(2,9),(2,11),(3,9),(3,10),(4,8),(5,4),(5,12),(6,7),(7,1),(7,5),(8,10),(8,11),(9,13),(10,13),(11,13),(12,2),(12,3),(12,8)],14)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(0,7),(1,16),(2,9),(2,10),(3,12),(3,13),(4,11),(4,13),(5,8),(5,14),(6,8),(6,15),(7,2),(7,14),(7,15),(8,18),(9,19),(10,1),(10,19),(11,17),(12,17),(13,17),(14,9),(14,18),(15,10),(15,18),(16,11),(16,12),(18,19),(19,3),(19,4),(19,16)],20)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>([(0,5),(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,14),(6,1),(6,10),(7,2),(7,14),(8,12),(8,13),(9,15),(10,11),(12,15),(13,6),(13,15),(14,3),(14,4),(14,8),(15,10)],16)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>([(0,6),(0,7),(1,11),(3,9),(3,12),(4,9),(4,10),(5,8),(6,13),(7,5),(7,13),(8,10),(8,12),(9,14),(10,14),(11,2),(12,1),(12,14),(13,3),(13,4),(13,8),(14,11)],15)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>([(0,4),(0,5),(1,11),(2,3),(2,16),(3,15),(4,12),(5,2),(5,12),(6,9),(6,13),(7,9),(7,14),(8,18),(9,17),(10,1),(10,18),(12,6),(12,7),(12,16),(13,8),(13,17),(14,10),(14,17),(15,8),(15,10),(16,13),(16,14),(16,15),(17,18),(18,11)],19)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,5),(2,3),(2,15),(3,14),(4,11),(5,2),(5,11),(6,10),(6,13),(7,10),(7,12),(8,17),(9,17),(10,16),(11,6),(11,7),(11,15),(12,8),(12,16),(13,9),(13,16),(14,8),(14,9),(15,12),(15,13),(15,14),(16,17),(17,1)],18)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>([(0,3),(0,4),(1,11),(2,15),(3,12),(4,2),(4,12),(5,9),(5,14),(6,7),(6,13),(6,14),(7,8),(7,10),(8,17),(9,16),(10,1),(10,17),(12,5),(12,6),(12,15),(13,10),(13,16),(14,8),(14,16),(15,9),(15,13),(16,17),(17,11)],18)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>([(0,6),(0,7),(2,12),(3,8),(4,10),(4,11),(5,9),(5,11),(6,13),(7,3),(7,13),(8,9),(8,10),(9,14),(10,14),(11,2),(11,14),(12,1),(13,4),(13,5),(13,8),(14,12)],15)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,5),(0,7),(1,9),(3,8),(3,12),(4,10),(4,11),(5,14),(6,4),(6,8),(6,13),(7,1),(7,14),(8,11),(8,15),(9,12),(9,13),(10,16),(11,16),(12,15),(13,10),(13,15),(14,3),(14,6),(14,9),(15,16),(16,2)],17)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>([(0,4),(0,5),(1,3),(1,16),(2,15),(3,14),(4,13),(5,1),(5,13),(6,10),(6,12),(7,8),(7,9),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,2),(13,16),(14,7),(14,11),(14,12),(15,10),(15,11),(16,6),(16,14),(16,15),(17,18)],19)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>([(0,4),(0,5),(1,13),(2,3),(2,15),(3,11),(4,12),(5,2),(5,12),(6,9),(6,10),(7,8),(7,10),(8,16),(9,16),(10,16),(11,6),(11,7),(11,14),(12,1),(12,15),(13,14),(14,8),(14,9),(15,11),(15,13)],17)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>([(0,5),(0,6),(1,11),(2,16),(3,4),(3,17),(4,14),(5,2),(5,15),(6,3),(6,15),(7,9),(7,13),(8,19),(9,18),(10,1),(10,19),(12,8),(12,18),(13,10),(13,18),(14,8),(14,10),(15,7),(15,16),(15,17),(16,9),(16,12),(17,12),(17,13),(17,14),(18,19),(19,11)],20)
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>([(0,5),(0,6),(1,4),(1,16),(2,15),(3,14),(4,3),(4,17),(5,13),(6,1),(6,13),(7,10),(7,12),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,2),(13,16),(14,8),(14,9),(15,10),(15,11),(16,7),(16,15),(16,17),(17,11),(17,12),(17,14),(18,19)],20)
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>([(0,5),(0,7),(1,13),(2,8),(3,10),(4,9),(5,12),(6,4),(6,11),(7,1),(7,12),(8,6),(8,10),(10,11),(11,9),(12,2),(12,13),(13,3),(13,8)],14)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7)=>([(0,5),(0,6),(1,11),(2,4),(2,15),(3,14),(4,13),(5,12),(6,2),(6,12),(7,8),(7,9),(8,16),(9,16),(10,1),(10,16),(12,3),(12,15),(13,8),(13,10),(14,9),(14,10),(15,7),(15,13),(15,14),(16,11)],17)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,7),(1,10),(1,11),(3,9),(4,8),(5,13),(6,4),(6,14),(7,6),(7,13),(8,10),(8,12),(9,11),(9,12),(10,15),(11,15),(12,15),(13,3),(13,14),(14,1),(14,8),(14,9),(15,2)],16)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>([(0,5),(0,6),(1,11),(2,4),(2,15),(3,14),(4,13),(5,12),(6,2),(6,12),(7,9),(7,10),(8,16),(9,16),(10,1),(10,16),(12,3),(12,15),(13,8),(13,10),(14,8),(14,9),(15,7),(15,13),(15,14),(16,11)],17)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>([(0,6),(0,7),(1,11),(3,12),(4,8),(5,9),(6,10),(7,1),(7,10),(8,9),(9,2),(10,3),(10,11),(11,4),(11,12),(12,5),(12,8)],13)
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>([(0,5),(0,6),(1,3),(1,16),(2,12),(3,4),(3,15),(4,13),(5,11),(6,1),(6,11),(7,9),(7,10),(8,17),(9,17),(10,17),(11,2),(11,16),(12,14),(13,8),(13,9),(14,8),(14,10),(15,7),(15,13),(15,14),(16,12),(16,15)],18)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>([(0,5),(0,7),(1,11),(2,10),(3,14),(4,8),(5,13),(6,3),(6,9),(7,6),(7,13),(8,10),(9,11),(9,14),(11,12),(12,2),(12,8),(13,1),(13,9),(14,4),(14,12)],15)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>([(0,4),(0,5),(1,11),(2,15),(3,16),(4,2),(4,14),(5,3),(5,14),(6,7),(6,12),(6,13),(7,8),(7,10),(8,18),(9,17),(10,1),(10,18),(12,8),(12,17),(13,10),(13,17),(14,6),(14,15),(14,16),(15,9),(15,12),(16,9),(16,13),(17,18),(18,11)],19)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,5),(0,7),(1,13),(2,14),(3,10),(4,12),(5,8),(6,2),(6,9),(7,1),(7,8),(8,6),(8,13),(9,12),(9,14),(11,10),(12,11),(13,4),(13,9),(14,3),(14,11)],15)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,5),(0,6),(1,11),(2,16),(3,4),(3,17),(4,14),(5,2),(5,15),(6,3),(6,15),(7,9),(7,13),(8,19),(9,18),(10,1),(10,19),(12,10),(12,18),(13,8),(13,18),(14,8),(14,10),(15,7),(15,16),(15,17),(16,9),(16,12),(17,12),(17,13),(17,14),(18,19),(19,11)],20)
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([(0,6),(0,7),(1,10),(1,14),(2,12),(4,8),(5,9),(6,4),(6,13),(7,5),(7,13),(8,11),(8,14),(9,10),(9,11),(10,15),(11,15),(12,3),(13,1),(13,8),(13,9),(14,2),(14,15),(15,12)],16)
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,5),(0,6),(2,15),(3,4),(3,16),(4,13),(5,2),(5,14),(6,3),(6,14),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,8),(13,9),(14,7),(14,15),(14,16),(15,10),(15,11),(16,11),(16,12),(16,13),(17,18),(18,1)],19)
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,4),(0,5),(2,15),(3,14),(4,3),(4,13),(5,2),(5,13),(6,7),(6,11),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,8),(11,16),(12,9),(12,16),(13,6),(13,14),(13,15),(14,10),(14,11),(15,10),(15,12),(16,17),(17,1)],18)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>([(0,6),(0,7),(1,13),(2,5),(2,15),(3,12),(4,10),(5,4),(5,14),(6,11),(7,1),(7,11),(9,8),(10,8),(11,2),(11,13),(12,9),(13,3),(13,15),(14,9),(14,10),(15,12),(15,14)],16)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>([(0,5),(0,7),(1,10),(2,13),(4,11),(5,8),(6,4),(6,9),(7,2),(7,8),(8,6),(8,13),(9,10),(9,11),(10,12),(11,12),(12,3),(13,1),(13,9)],14)
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,6),(0,7),(1,13),(2,12),(3,5),(3,15),(4,8),(5,11),(6,2),(6,14),(7,3),(7,14),(9,10),(10,4),(10,13),(11,1),(11,10),(12,9),(13,8),(14,12),(14,15),(15,9),(15,11)],16)
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>([(0,4),(0,7),(1,8),(2,10),(3,9),(4,13),(5,3),(5,12),(6,5),(6,11),(7,1),(7,13),(8,6),(8,10),(10,11),(11,12),(12,9),(13,2),(13,8)],14)
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,9),(2,11),(4,8),(5,10),(6,3),(7,2),(7,10),(8,9),(9,6),(10,4),(10,11),(11,1),(11,8)],12)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>([(0,5),(0,7),(2,8),(3,12),(4,10),(5,11),(6,3),(6,9),(7,2),(7,11),(8,6),(8,10),(9,12),(10,9),(11,4),(11,8),(12,1)],13)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,10),(3,13),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,1),(9,18),(11,17),(12,10),(13,12),(14,2),(14,12),(15,9),(15,17),(16,8),(16,17),(17,3),(17,18),(18,13),(18,14)],19)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,15),(2,14),(3,12),(4,13),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,17),(10,2),(10,17),(11,1),(11,17),(12,8),(13,8),(14,3),(14,16),(15,4),(15,16),(16,12),(16,13),(17,14),(17,15)],18)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,14),(3,8),(3,9),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,4),(7,15),(7,16),(8,18),(9,18),(11,17),(12,19),(13,9),(13,17),(14,10),(15,11),(15,19),(16,3),(16,13),(16,19),(17,2),(17,18),(18,1),(18,14),(19,8),(19,17)],20)
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>([(0,5),(0,6),(1,12),(2,3),(2,17),(3,4),(3,16),(4,14),(5,1),(5,13),(6,2),(6,13),(7,9),(7,10),(8,18),(9,18),(10,18),(11,15),(12,11),(13,12),(13,17),(14,8),(14,9),(15,8),(15,10),(16,7),(16,14),(16,15),(17,11),(17,16)],19)
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>([(0,4),(0,7),(1,10),(1,13),(2,10),(2,12),(3,9),(4,8),(5,6),(5,11),(6,3),(6,14),(7,5),(7,8),(8,11),(9,12),(9,13),(10,15),(11,14),(12,15),(13,15),(14,1),(14,2),(14,9)],16)
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,10),(1,11),(2,9),(3,8),(4,3),(4,13),(5,2),(5,13),(6,7),(7,4),(7,5),(8,10),(8,12),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,8),(13,9)],15)
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>([(0,5),(0,6),(1,15),(2,3),(2,12),(3,4),(3,14),(4,13),(5,11),(6,2),(6,11),(7,9),(7,10),(8,16),(9,16),(10,16),(11,12),(12,1),(12,14),(13,8),(13,10),(14,7),(14,13),(14,15),(15,8),(15,9)],17)
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,5),(0,7),(1,12),(2,10),(3,11),(4,8),(5,9),(6,3),(6,13),(7,6),(7,9),(8,10),(9,13),(11,4),(11,12),(12,2),(12,8),(13,1),(13,11)],14)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,10),(3,15),(4,8),(4,9),(5,11),(5,17),(6,11),(6,16),(7,4),(7,16),(7,17),(8,19),(9,1),(9,19),(11,3),(11,18),(12,10),(13,12),(14,2),(14,12),(15,13),(16,9),(16,18),(17,8),(17,18),(18,15),(18,19),(19,13),(19,14)],20)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,5),(0,6),(0,7),(1,13),(2,10),(3,12),(4,8),(4,9),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,17),(9,1),(9,17),(11,16),(12,10),(13,2),(13,12),(14,8),(14,16),(15,9),(15,16),(16,17),(17,3),(17,13)],18)
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>([(0,6),(0,7),(1,5),(1,15),(2,13),(3,8),(4,12),(5,4),(5,14),(6,11),(7,1),(7,11),(9,10),(10,8),(11,2),(11,15),(12,3),(12,10),(13,9),(14,9),(14,12),(15,13),(15,14)],16)
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>([(0,6),(0,7),(1,14),(2,13),(3,9),(4,5),(4,10),(5,3),(5,11),(6,1),(6,8),(7,2),(7,8),(8,13),(8,14),(10,11),(11,9),(12,10),(13,12),(14,4),(14,12)],15)
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,10),(2,13),(3,14),(4,8),(4,9),(5,11),(5,15),(6,11),(6,16),(7,4),(7,15),(7,16),(8,2),(8,18),(9,3),(9,18),(11,17),(12,10),(13,12),(14,1),(14,12),(15,8),(15,17),(16,9),(16,17),(17,18),(18,13),(18,14)],19)
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,6),(0,7),(1,12),(2,13),(3,5),(3,16),(4,8),(5,9),(6,2),(6,15),(7,3),(7,15),(9,11),(10,8),(11,4),(11,10),(12,10),(13,1),(13,14),(14,11),(14,12),(15,13),(15,16),(16,9),(16,14)],17)
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>([(0,4),(0,7),(1,12),(2,10),(3,8),(4,9),(5,2),(5,11),(6,5),(6,8),(7,1),(7,9),(8,11),(9,12),(11,10),(12,3),(12,6)],13)
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>([(0,5),(0,7),(1,10),(3,9),(4,9),(5,8),(6,2),(7,1),(7,8),(8,10),(9,6),(10,3),(10,4)],11)
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>([(0,5),(0,7),(1,11),(3,10),(4,9),(5,8),(6,3),(6,9),(7,1),(7,8),(8,11),(9,10),(10,2),(11,4),(11,6)],12)
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,8),(2,11),(2,13),(3,10),(3,14),(4,12),(4,14),(5,9),(5,15),(6,9),(6,16),(7,2),(7,15),(7,16),(9,17),(10,18),(11,19),(12,1),(12,18),(13,3),(13,4),(13,19),(14,18),(15,11),(15,17),(16,13),(16,17),(17,19),(18,8),(19,10),(19,12)],20)
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,9),(2,12),(3,11),(3,13),(4,10),(4,13),(5,8),(5,14),(6,8),(6,15),(7,2),(7,14),(7,15),(8,16),(9,18),(10,17),(11,17),(12,3),(12,4),(12,18),(13,17),(14,9),(14,16),(15,12),(15,16),(16,18),(17,1),(18,10),(18,11)],19)
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,3),(5,12),(6,4),(6,9),(7,5),(7,9),(9,10),(9,12),(10,13),(11,14),(12,11),(12,13),(13,14),(14,1),(14,2)],15)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>([(0,4),(0,7),(1,12),(2,8),(3,8),(4,9),(5,6),(5,11),(6,1),(6,10),(7,5),(7,9),(9,11),(10,12),(11,10),(12,2),(12,3)],13)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10)
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>([(0,6),(0,7),(1,5),(1,16),(2,13),(3,8),(4,10),(5,4),(5,14),(6,1),(6,15),(7,2),(7,15),(9,12),(10,11),(11,8),(12,3),(12,11),(13,9),(14,10),(14,12),(15,13),(15,16),(16,9),(16,14)],17)
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>([(0,6),(0,7),(1,5),(1,16),(2,13),(3,8),(4,12),(5,4),(5,14),(6,1),(6,15),(7,2),(7,15),(9,10),(10,11),(11,8),(12,3),(12,11),(13,9),(14,10),(14,12),(15,13),(15,16),(16,9),(16,14)],17)
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11)
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>([(0,4),(0,7),(1,10),(2,13),(3,8),(4,9),(5,6),(5,11),(6,2),(6,12),(7,5),(7,9),(8,10),(9,11),(11,12),(12,3),(12,13),(13,1),(13,8)],14)
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13)
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>([(0,4),(0,7),(1,14),(2,10),(3,12),(4,8),(5,6),(5,13),(6,1),(6,9),(7,5),(7,8),(8,13),(9,12),(9,14),(11,10),(12,11),(13,3),(13,9),(14,2),(14,11)],15)
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>([(0,6),(0,7),(1,12),(2,13),(3,5),(3,18),(4,9),(5,4),(5,14),(6,2),(6,16),(7,3),(7,16),(9,10),(10,8),(11,8),(12,11),(13,1),(13,15),(14,9),(14,17),(15,12),(15,17),(16,13),(16,18),(17,10),(17,11),(18,14),(18,15)],19)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>([(0,6),(0,7),(2,11),(3,12),(4,5),(4,15),(5,9),(6,3),(6,14),(7,4),(7,14),(8,1),(9,10),(10,8),(11,8),(12,2),(12,13),(13,10),(13,11),(14,12),(14,15),(15,9),(15,13)],16)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>([(0,6),(0,7),(1,13),(3,9),(4,10),(5,1),(5,11),(6,3),(6,8),(7,4),(7,8),(8,9),(8,10),(9,12),(10,5),(10,12),(11,13),(12,11),(13,2)],14)
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>([(0,5),(1,8),(1,11),(2,8),(2,10),(3,12),(4,3),(4,9),(5,7),(6,1),(6,2),(6,9),(7,4),(7,6),(8,16),(9,10),(9,11),(9,12),(10,13),(10,16),(11,14),(11,16),(12,13),(12,14),(13,15),(14,15),(16,15)],17)
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>([(0,5),(0,6),(1,11),(2,4),(2,16),(3,12),(4,13),(5,2),(5,14),(6,3),(6,14),(7,9),(7,10),(8,17),(9,17),(10,1),(10,17),(12,15),(13,8),(13,10),(14,12),(14,16),(15,8),(15,9),(16,7),(16,13),(16,15),(17,11)],18)
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,3),(1,12),(2,15),(3,2),(3,16),(4,11),(5,1),(5,11),(6,10),(6,14),(7,10),(7,13),(8,18),(9,18),(10,17),(11,12),(12,6),(12,7),(12,16),(13,8),(13,17),(14,9),(14,17),(15,8),(15,9),(16,13),(16,14),(16,15),(17,18)],19)
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>([(0,5),(0,7),(1,10),(1,12),(2,10),(2,13),(3,11),(4,9),(5,8),(6,4),(6,14),(7,6),(7,8),(8,14),(9,12),(9,13),(10,15),(12,15),(13,3),(13,15),(14,1),(14,2),(14,9),(15,11)],16)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,7),(2,10),(2,12),(3,10),(3,11),(4,9),(5,8),(6,4),(6,13),(7,6),(7,8),(8,13),(9,11),(9,12),(10,14),(11,14),(12,14),(13,2),(13,3),(13,9),(14,1)],15)
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>([(0,5),(1,9),(1,11),(2,9),(2,10),(3,8),(4,6),(5,4),(6,3),(6,7),(7,1),(7,2),(7,8),(8,10),(8,11),(9,12),(10,12),(11,12)],13)
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>([(0,2),(0,3),(1,8),(2,16),(3,4),(3,5),(3,16),(4,7),(4,14),(4,15),(5,11),(5,15),(6,9),(6,10),(7,6),(7,12),(7,13),(9,19),(10,1),(10,19),(11,17),(12,9),(12,18),(13,10),(13,18),(14,13),(14,17),(15,12),(15,17),(16,11),(16,14),(17,18),(18,19),(19,8)],20)
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>([(0,7),(1,9),(2,8),(3,11),(3,13),(4,10),(4,13),(5,6),(5,9),(6,3),(6,4),(6,12),(7,1),(7,5),(9,12),(10,14),(11,14),(12,10),(12,11),(13,2),(13,14),(14,8)],15)
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>([(0,7),(2,10),(3,9),(4,3),(4,8),(5,6),(5,8),(6,2),(6,11),(7,4),(7,5),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,1)],14)
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>([(0,7),(1,13),(1,14),(2,8),(3,10),(4,9),(4,11),(5,1),(5,9),(5,12),(6,4),(6,5),(6,8),(7,2),(7,6),(8,11),(8,12),(9,14),(9,16),(11,16),(12,13),(12,16),(13,15),(14,3),(14,15),(15,10),(16,15)],17)
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>([(0,4),(0,6),(1,10),(2,8),(3,8),(4,9),(5,7),(6,1),(6,9),(7,2),(7,3),(9,10),(10,5)],11)
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,12),(2,13),(3,8),(4,8),(5,9),(5,11),(6,9),(6,10),(7,2),(7,10),(7,11),(9,16),(10,12),(10,16),(11,13),(11,16),(12,15),(13,1),(13,15),(14,3),(14,4),(15,14),(16,15)],17)
([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,5),(2,6),(2,15),(3,11),(4,1),(4,11),(5,7),(5,12),(5,13),(6,10),(6,13),(7,8),(7,9),(8,17),(9,17),(10,16),(11,14),(12,8),(12,16),(13,9),(13,16),(14,15),(15,10),(15,12),(16,17)],18)
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>([(0,3),(0,7),(1,9),(2,10),(3,8),(4,1),(4,13),(5,4),(5,11),(6,2),(6,12),(7,5),(7,8),(8,11),(9,12),(11,13),(12,10),(13,6),(13,9)],14)
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>([(0,6),(1,11),(1,12),(2,8),(2,10),(3,8),(3,9),(4,7),(5,1),(5,9),(5,10),(6,4),(7,2),(7,3),(7,5),(8,14),(9,11),(9,14),(10,12),(10,14),(11,13),(12,13),(14,13)],15)
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,14),(2,5),(2,6),(2,15),(3,11),(4,1),(4,11),(5,10),(5,13),(6,10),(6,12),(7,8),(7,9),(8,17),(9,17),(10,16),(11,14),(12,8),(12,16),(13,9),(13,16),(14,15),(15,7),(15,12),(15,13),(16,17)],18)
([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9)
([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,6),(0,7),(1,13),(2,5),(2,17),(3,12),(4,9),(5,4),(5,14),(6,2),(6,15),(7,3),(7,15),(9,10),(10,8),(11,1),(11,16),(12,11),(13,8),(14,9),(14,16),(15,12),(15,17),(16,10),(16,13),(17,11),(17,14)],18)
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,6),(0,7),(1,13),(3,11),(4,9),(5,3),(5,12),(6,4),(6,8),(7,5),(7,8),(8,9),(8,12),(9,14),(10,13),(11,10),(12,11),(12,14),(13,2),(14,1),(14,10)],15)
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11)
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12)
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,17),(3,8),(4,9),(5,10),(6,1),(6,15),(7,2),(7,15),(9,11),(10,13),(11,12),(12,8),(13,3),(13,12),(14,11),(14,13),(15,16),(15,17),(16,9),(16,14),(17,10),(17,14)],18)
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,6),(0,7),(1,13),(2,12),(3,5),(3,15),(4,8),(5,9),(6,2),(6,14),(7,3),(7,14),(9,10),(10,4),(10,13),(11,1),(11,10),(12,11),(13,8),(14,12),(14,15),(15,9),(15,11)],16)
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,5),(0,6),(0,7),(1,14),(2,3),(2,17),(3,13),(4,9),(4,10),(5,11),(5,15),(6,11),(6,16),(7,4),(7,15),(7,16),(9,1),(9,19),(10,2),(10,19),(11,18),(12,8),(13,8),(14,12),(15,9),(15,18),(16,10),(16,18),(17,12),(17,13),(18,19),(19,14),(19,17)],20)
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,5),(0,6),(0,7),(2,13),(3,12),(4,8),(4,9),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,3),(8,17),(9,2),(9,17),(10,1),(11,16),(12,10),(13,10),(14,8),(14,16),(15,9),(15,16),(16,17),(17,12),(17,13)],18)
([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,13),(2,10),(3,2),(3,12),(4,8),(4,9),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,17),(9,1),(9,17),(11,16),(12,10),(13,12),(14,8),(14,16),(15,9),(15,16),(16,17),(17,13)],18)
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>([(0,4),(0,6),(1,11),(2,10),(3,9),(4,8),(5,2),(5,9),(6,1),(6,8),(7,3),(7,5),(8,11),(9,10),(11,7)],12)
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,5),(0,6),(0,7),(1,3),(1,13),(2,10),(3,12),(4,8),(4,9),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,17),(9,1),(9,17),(11,16),(12,10),(13,2),(13,12),(14,8),(14,16),(15,9),(15,16),(16,17),(17,13)],18)
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,5),(0,6),(0,7),(2,1),(3,10),(3,12),(4,9),(4,11),(5,13),(5,14),(6,4),(6,13),(6,15),(7,3),(7,14),(7,15),(8,19),(9,17),(10,18),(11,8),(11,17),(12,8),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19),(19,2)],20)
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>([(0,2),(1,3),(1,4),(1,5),(2,1),(3,13),(3,14),(4,7),(4,14),(4,15),(5,6),(5,13),(5,15),(6,9),(6,11),(7,10),(7,12),(8,19),(9,17),(10,18),(11,8),(11,17),(12,8),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19)],20)
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>([(0,3),(0,4),(1,11),(2,6),(2,7),(2,15),(3,12),(4,2),(4,12),(5,8),(5,10),(6,9),(6,13),(7,9),(7,14),(8,17),(9,16),(10,1),(10,17),(12,15),(13,8),(13,16),(14,10),(14,16),(15,5),(15,13),(15,14),(16,17),(17,11)],18)
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>([(0,3),(0,7),(1,9),(2,10),(3,8),(4,1),(4,13),(5,2),(5,11),(6,5),(6,12),(7,4),(7,8),(8,13),(9,12),(11,10),(12,11),(13,6),(13,9)],14)
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(0,7),(1,12),(3,10),(4,8),(5,3),(5,11),(6,1),(6,9),(7,5),(7,8),(8,11),(9,12),(10,9),(11,6),(11,10),(12,2)],13)
([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12)
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>([(0,3),(0,7),(1,10),(2,9),(3,8),(4,6),(4,12),(5,4),(5,11),(6,1),(6,13),(7,5),(7,8),(8,11),(9,14),(10,14),(11,12),(12,2),(12,13),(13,9),(13,10)],15)
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>([(0,4),(0,7),(2,12),(3,9),(4,8),(5,6),(5,10),(6,3),(6,11),(7,5),(7,8),(8,10),(9,12),(10,11),(11,2),(11,9),(12,1)],13)
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10)
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>([(0,3),(0,7),(1,13),(2,9),(3,8),(4,6),(4,10),(5,4),(5,11),(6,1),(6,12),(7,5),(7,8),(8,11),(10,12),(11,10),(12,2),(12,13),(13,9)],14)
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14)
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>([(0,6),(0,7),(1,11),(2,5),(2,10),(3,13),(4,3),(4,15),(5,4),(5,14),(6,9),(7,2),(7,9),(9,10),(10,1),(10,14),(11,12),(12,8),(13,8),(14,11),(14,15),(15,12),(15,13)],16)
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>([(0,4),(0,7),(1,10),(2,11),(4,9),(5,6),(5,13),(6,1),(6,8),(7,5),(7,9),(8,10),(8,11),(9,13),(10,12),(11,12),(12,3),(13,2),(13,8)],14)
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,3),(0,4),(1,11),(2,6),(2,7),(2,15),(3,12),(4,2),(4,12),(5,8),(5,10),(6,9),(6,14),(7,5),(7,13),(7,14),(8,17),(9,16),(10,1),(10,17),(12,15),(13,10),(13,16),(14,8),(14,16),(15,9),(15,13),(16,17),(17,11)],18)
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,4),(0,5),(1,11),(2,14),(3,6),(3,7),(3,17),(4,2),(4,15),(5,3),(5,15),(6,9),(6,12),(7,9),(7,13),(8,19),(9,18),(10,1),(10,19),(12,8),(12,18),(13,10),(13,18),(14,16),(15,14),(15,17),(16,8),(16,10),(17,12),(17,13),(17,16),(18,19),(19,11)],20)
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,6),(1,12),(1,13),(2,11),(3,8),(3,9),(4,8),(4,10),(5,1),(5,9),(5,10),(6,7),(7,3),(7,4),(7,5),(8,15),(9,12),(9,15),(10,13),(10,15),(12,14),(13,2),(13,14),(14,11),(15,14)],16)
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>([(0,3),(0,7),(2,9),(3,8),(4,6),(5,4),(6,1),(7,2),(7,8),(8,9),(9,5)],10)
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>([(0,4),(0,5),(0,7),(1,12),(1,13),(3,11),(4,8),(4,9),(5,9),(5,10),(6,2),(7,1),(7,8),(7,10),(8,12),(8,15),(9,15),(10,13),(10,15),(11,6),(12,14),(13,3),(13,14),(14,11),(15,14)],16)
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,4),(0,6),(2,9),(2,12),(3,10),(3,11),(4,8),(5,3),(5,9),(5,13),(6,7),(6,8),(7,2),(7,5),(7,14),(8,14),(9,10),(9,15),(10,16),(11,16),(12,15),(13,11),(13,15),(14,12),(14,13),(15,16),(16,1)],17)
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,4),(0,5),(2,13),(3,6),(3,7),(3,16),(4,2),(4,14),(5,3),(5,14),(6,10),(6,12),(7,10),(7,11),(8,18),(9,18),(10,17),(11,8),(11,17),(12,9),(12,17),(13,15),(14,13),(14,16),(15,8),(15,9),(16,11),(16,12),(16,15),(17,18),(18,1)],19)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,6),(2,11),(2,12),(3,8),(3,10),(4,8),(4,9),(5,2),(5,9),(5,10),(6,7),(7,3),(7,4),(7,5),(8,13),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14),(14,1)],15)
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,6),(0,7),(2,5),(2,15),(3,12),(4,11),(5,4),(5,13),(6,2),(6,14),(7,3),(7,14),(8,1),(9,10),(10,8),(11,8),(12,9),(13,10),(13,11),(14,12),(14,15),(15,9),(15,13)],16)
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10)
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12)
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>([(0,6),(0,7),(2,10),(3,9),(4,1),(5,4),(6,3),(6,8),(7,2),(7,8),(8,9),(8,10),(9,11),(10,11),(11,5)],12)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>([(0,6),(1,11),(1,12),(2,8),(3,10),(3,14),(4,9),(4,14),(5,1),(5,9),(5,10),(6,7),(7,3),(7,4),(7,5),(8,13),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(14,2),(14,16),(15,13),(16,8),(16,15)],17)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>([(0,6),(2,11),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,7),(7,3),(7,4),(7,5),(8,12),(9,12),(10,2),(10,12),(11,1),(12,11)],13)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,3),(0,4),(1,15),(2,6),(2,7),(2,16),(3,12),(4,2),(4,12),(5,9),(5,10),(6,11),(6,14),(7,11),(7,13),(9,18),(10,18),(11,1),(11,17),(12,16),(13,9),(13,17),(14,10),(14,17),(15,8),(16,5),(16,13),(16,14),(17,15),(17,18),(18,8)],19)
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>([(0,5),(0,6),(2,12),(2,13),(3,9),(3,11),(4,9),(4,10),(5,8),(6,7),(6,8),(7,3),(7,4),(7,14),(8,14),(9,15),(10,12),(10,15),(11,13),(11,15),(12,16),(13,16),(14,2),(14,10),(14,11),(15,16),(16,1)],17)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,5),(0,6),(2,13),(3,10),(3,12),(4,9),(4,12),(5,8),(6,7),(6,8),(7,3),(7,4),(7,11),(8,11),(9,14),(10,14),(11,9),(11,10),(12,2),(12,14),(13,1),(14,13)],15)
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>([(0,3),(0,4),(1,15),(2,6),(2,7),(2,16),(3,12),(4,2),(4,12),(5,8),(5,10),(6,11),(6,14),(7,5),(7,13),(7,14),(8,18),(10,18),(11,1),(11,17),(12,16),(13,10),(13,17),(14,8),(14,17),(15,9),(16,11),(16,13),(17,15),(17,18),(18,9)],19)
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>([(0,5),(0,6),(2,13),(3,9),(3,11),(4,9),(4,12),(5,8),(6,7),(6,8),(7,3),(7,4),(7,10),(8,10),(9,14),(10,11),(10,12),(11,14),(12,2),(12,14),(13,1),(14,13)],15)
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>([(0,3),(0,7),(2,10),(3,8),(4,5),(5,1),(6,2),(6,9),(7,6),(7,8),(8,9),(9,10),(10,4)],11)
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>([(0,5),(0,6),(0,7),(2,10),(3,8),(3,9),(4,3),(4,12),(4,13),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,18),(9,2),(9,18),(10,1),(11,16),(12,8),(12,17),(13,9),(13,17),(14,12),(14,16),(15,13),(15,16),(16,17),(17,18),(18,10)],19)
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>([(0,3),(0,7),(1,9),(3,8),(4,6),(4,10),(5,4),(5,12),(6,1),(6,11),(7,5),(7,8),(8,12),(9,2),(10,11),(11,9),(12,10)],13)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>([(0,6),(0,7),(2,5),(2,16),(3,4),(3,15),(4,9),(5,10),(6,3),(6,14),(7,2),(7,14),(8,1),(9,11),(10,12),(11,8),(12,8),(13,11),(13,12),(14,15),(14,16),(15,9),(15,13),(16,10),(16,13)],17)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11)
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)=>([(0,3),(0,8),(1,10),(3,9),(4,5),(4,12),(5,7),(5,11),(6,4),(6,14),(7,1),(7,13),(8,6),(8,9),(9,14),(10,2),(11,13),(12,11),(13,10),(14,12)],15)
([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,7),(0,8),(2,12),(3,6),(3,16),(4,14),(5,4),(5,18),(6,5),(6,17),(7,3),(7,15),(8,2),(8,15),(9,1),(10,13),(11,10),(12,11),(13,9),(14,9),(15,12),(15,16),(16,11),(16,17),(17,10),(17,18),(18,13),(18,14)],19)
([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>([(0,2),(0,3),(0,4),(0,5),(2,12),(2,13),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,13),(5,9),(5,10),(5,12),(6,7),(7,1),(8,6),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,16),(12,18),(13,17),(13,18),(14,16),(14,17),(15,19),(16,19),(17,19),(18,19),(19,8)],20)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>([(0,7),(2,12),(2,13),(3,11),(4,10),(5,9),(5,12),(6,9),(6,13),(7,8),(8,2),(8,5),(8,6),(9,15),(10,14),(11,14),(12,4),(12,15),(13,3),(13,15),(14,1),(15,10),(15,11)],16)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,6),(1,10),(2,10),(4,9),(5,9),(6,7),(7,4),(7,5),(8,1),(8,2),(9,8),(10,3)],11)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>([(0,8),(2,10),(3,10),(4,9),(5,9),(6,7),(7,2),(7,3),(8,4),(8,5),(9,6),(10,1)],11)
([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8)=>([(0,7),(2,11),(3,10),(4,1),(5,3),(5,9),(6,2),(6,9),(7,8),(8,5),(8,6),(9,10),(9,11),(10,12),(11,12),(12,4)],13)
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,8),(2,9),(3,9),(4,10),(5,10),(6,1),(7,4),(7,5),(8,2),(8,3),(9,7),(10,6)],11)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,8),(1,10),(2,11),(4,9),(5,3),(6,4),(6,11),(7,5),(8,2),(8,6),(9,10),(10,7),(11,1),(11,9)],12)
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,7),(2,10),(3,11),(4,9),(5,4),(5,11),(6,1),(7,8),(8,3),(8,5),(9,10),(10,6),(11,2),(11,9)],12)
([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)=>([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16)
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>([(0,2),(2,3),(2,4),(3,8),(3,15),(4,7),(4,15),(5,12),(6,13),(7,5),(7,16),(8,6),(8,17),(9,1),(10,9),(11,9),(12,10),(13,11),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14)],18)
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,7),(2,9),(3,9),(4,1),(5,8),(6,4),(7,5),(8,2),(8,3),(9,6)],10)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>([(0,2),(2,6),(2,7),(2,8),(3,17),(4,16),(5,15),(6,12),(6,13),(7,12),(7,14),(8,13),(8,14),(9,19),(10,19),(11,19),(12,5),(12,18),(13,4),(13,18),(14,3),(14,18),(15,9),(15,10),(16,9),(16,11),(17,10),(17,11),(18,15),(18,16),(18,17),(19,1)],20)
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(0,7),(1,9),(2,10),(4,11),(5,8),(6,1),(6,10),(7,5),(8,2),(8,6),(9,11),(10,4),(10,9),(11,3)],12)
([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)=>([(0,8),(1,10),(2,11),(4,6),(4,9),(5,2),(5,9),(6,7),(6,13),(7,1),(7,12),(8,4),(8,5),(9,11),(9,13),(10,16),(11,14),(12,10),(12,15),(13,12),(13,14),(14,15),(15,16),(16,3)],17)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8)=>([(0,7),(1,10),(2,10),(4,9),(5,9),(6,3),(7,8),(8,1),(8,2),(9,6),(10,4),(10,5)],11)
([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,8),(2,11),(3,11),(4,9),(5,9),(6,10),(7,10),(8,2),(8,3),(9,1),(10,4),(10,5),(11,6),(11,7)],12)
([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)=>([(0,8),(2,12),(3,11),(4,10),(5,9),(6,3),(6,10),(7,2),(7,9),(8,5),(8,7),(9,12),(10,11),(11,1),(12,4),(12,6)],13)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,14),(2,10),(4,9),(5,12),(6,13),(7,11),(8,1),(8,11),(9,10),(10,3),(11,6),(11,14),(12,2),(12,9),(13,4),(13,12),(14,5),(14,13)],15)
([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)=>([(0,8),(2,13),(2,14),(3,12),(3,14),(4,12),(4,13),(5,10),(5,11),(6,9),(6,11),(7,9),(7,10),(8,5),(8,6),(8,7),(9,16),(10,16),(11,16),(12,15),(13,15),(14,15),(15,1),(16,2),(16,3),(16,4)],17)
([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8)=>([(0,3),(0,4),(1,9),(2,9),(3,10),(4,10),(5,6),(6,8),(7,5),(8,1),(8,2),(10,7)],11)
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,9),(2,9),(3,11),(4,11),(5,10),(6,10),(7,12),(8,12),(10,3),(10,4),(11,1),(11,2),(12,5),(12,6)],13)
([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,7),(0,8),(1,12),(2,12),(3,13),(4,9),(5,9),(6,10),(7,11),(8,6),(8,11),(10,13),(11,3),(11,10),(12,4),(12,5),(13,1),(13,2)],14)
([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(0,8),(1,13),(2,13),(3,14),(4,9),(5,9),(6,11),(6,12),(7,10),(7,12),(8,10),(8,11),(10,15),(11,15),(12,3),(12,15),(13,4),(13,5),(14,1),(14,2),(15,14)],16)
([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,14),(2,14),(3,9),(4,9),(5,11),(5,13),(6,11),(6,12),(7,10),(8,5),(8,6),(8,10),(10,12),(10,13),(11,15),(12,15),(13,15),(14,3),(14,4),(15,1),(15,2)],16)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(0,8),(1,15),(2,15),(3,13),(3,14),(4,9),(5,9),(6,10),(6,12),(7,10),(7,11),(8,3),(8,11),(8,12),(10,16),(11,13),(11,16),(12,14),(12,16),(13,17),(14,17),(15,4),(15,5),(16,17),(17,1),(17,2)],18)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,13),(2,12),(3,9),(4,9),(5,10),(6,11),(7,11),(8,5),(8,12),(10,13),(11,2),(11,8),(12,1),(12,10),(13,3),(13,4)],14)
([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,7),(0,8),(1,9),(2,9),(3,13),(4,10),(5,14),(6,12),(7,11),(8,3),(8,11),(10,14),(11,6),(11,13),(12,5),(12,10),(13,4),(13,12),(14,1),(14,2)],15)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,15),(2,14),(3,9),(4,9),(5,10),(6,12),(6,13),(7,11),(7,13),(8,11),(8,12),(10,15),(11,16),(12,16),(13,2),(13,16),(14,1),(14,10),(15,3),(15,4),(16,5),(16,14)],17)
([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,7),(0,8),(1,13),(2,9),(3,9),(4,11),(4,12),(5,10),(5,12),(6,10),(6,11),(7,14),(8,14),(10,15),(11,15),(12,1),(12,15),(13,2),(13,3),(14,4),(14,5),(14,6),(15,13)],16)
([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)=>([(0,6),(0,7),(1,10),(2,11),(2,13),(3,11),(3,12),(4,9),(5,9),(6,14),(7,14),(8,2),(8,3),(8,10),(10,12),(10,13),(11,15),(12,15),(13,15),(14,1),(14,8),(15,4),(15,5)],16)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(0,8),(1,15),(2,11),(2,13),(3,11),(3,12),(4,10),(5,9),(6,9),(7,14),(8,1),(8,14),(10,12),(10,13),(11,16),(12,16),(13,16),(14,4),(14,15),(15,2),(15,3),(15,10),(16,5),(16,6)],17)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,6),(0,7),(1,13),(1,14),(2,9),(3,9),(4,10),(4,12),(5,10),(5,11),(6,15),(7,15),(8,1),(8,11),(8,12),(10,16),(11,13),(11,16),(12,14),(12,16),(13,17),(14,17),(15,4),(15,5),(15,8),(16,17),(17,2),(17,3)],18)
([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)=>([(0,4),(0,7),(1,12),(2,11),(3,10),(4,9),(5,2),(5,10),(6,8),(7,1),(7,9),(8,3),(8,5),(9,12),(10,11),(12,6)],13)
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,5),(0,6),(0,7),(1,15),(2,10),(3,9),(3,14),(4,9),(4,13),(5,12),(5,16),(6,11),(6,16),(7,11),(7,12),(8,1),(8,10),(9,18),(10,15),(11,17),(12,17),(13,18),(14,18),(16,3),(16,4),(16,17),(17,13),(17,14),(18,2),(18,8)],19)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,10),(2,11),(3,11),(4,12),(5,9),(6,13),(7,13),(8,5),(8,12),(9,10),(11,4),(11,8),(12,1),(12,9),(13,2),(13,3)],14)
([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,6),(0,8),(1,13),(2,11),(3,14),(4,10),(5,9),(6,12),(7,5),(7,13),(8,4),(8,12),(9,11),(10,14),(12,3),(12,10),(13,2),(13,9),(14,1),(14,7)],15)
([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,5),(0,6),(0,7),(1,15),(2,12),(3,14),(4,9),(5,11),(5,13),(6,10),(6,13),(7,10),(7,11),(8,4),(8,15),(9,12),(10,16),(11,16),(13,3),(13,16),(14,1),(14,8),(15,2),(15,9),(16,14)],17)
([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)=>([(0,6),(0,8),(1,12),(2,15),(3,11),(3,14),(4,11),(4,13),(5,9),(6,10),(7,5),(7,15),(8,3),(8,4),(8,10),(9,12),(10,13),(10,14),(11,16),(13,16),(14,16),(15,1),(15,9),(16,2),(16,7)],17)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)=>([(0,5),(0,6),(0,7),(1,13),(2,15),(3,14),(4,9),(5,11),(5,12),(6,10),(6,12),(7,10),(7,11),(8,2),(8,14),(9,13),(10,16),(11,16),(12,16),(14,4),(14,15),(15,1),(15,9),(16,3),(16,8)],17)
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)=>([(0,6),(0,7),(1,14),(2,13),(3,10),(4,9),(5,12),(6,11),(7,11),(8,1),(8,12),(10,9),(11,5),(11,8),(12,2),(12,14),(13,4),(13,10),(14,3),(14,13)],15)
([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)=>([(0,8),(1,11),(2,14),(3,10),(4,9),(5,12),(6,13),(7,2),(7,11),(8,1),(8,7),(10,9),(11,6),(11,14),(12,4),(12,10),(13,3),(13,12),(14,5),(14,13)],15)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)=>([(0,7),(0,8),(1,15),(2,10),(3,9),(4,14),(5,12),(6,13),(7,11),(8,1),(8,11),(10,9),(11,6),(11,15),(12,3),(12,10),(13,5),(13,14),(14,2),(14,12),(15,4),(15,13)],16)
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,15),(2,16),(3,12),(4,13),(5,9),(6,11),(6,14),(7,10),(7,14),(8,10),(8,11),(9,12),(10,17),(11,17),(13,5),(13,16),(14,1),(14,17),(15,2),(15,13),(16,3),(16,9),(17,4),(17,15)],18)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)=>([(0,7),(0,8),(1,12),(2,14),(3,11),(3,13),(4,10),(4,13),(5,9),(6,10),(6,11),(7,15),(8,15),(9,12),(10,16),(11,16),(13,2),(13,16),(14,1),(14,9),(15,3),(15,4),(15,6),(16,5),(16,14)],17)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,14),(2,14),(3,10),(3,12),(4,9),(4,12),(5,11),(6,9),(6,10),(7,13),(8,13),(9,15),(10,15),(12,5),(12,15),(13,1),(13,2),(14,3),(14,4),(14,6),(15,11)],16)
([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,7),(0,8),(1,15),(2,11),(2,13),(3,10),(3,13),(4,12),(5,9),(6,10),(6,11),(7,14),(8,5),(8,14),(9,15),(10,16),(11,16),(13,4),(13,16),(14,1),(14,9),(15,2),(15,3),(15,6),(16,12)],17)
([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,11),(2,14),(3,10),(3,14),(4,9),(5,10),(5,11),(6,13),(6,15),(7,12),(7,15),(8,12),(8,13),(10,18),(11,18),(12,17),(13,17),(14,4),(14,18),(15,1),(15,17),(16,2),(16,3),(16,5),(17,16),(18,9)],19)
([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([(0,7),(0,8),(1,12),(1,16),(2,11),(2,16),(3,13),(4,9),(4,15),(5,9),(5,14),(6,11),(6,12),(7,10),(8,4),(8,5),(8,10),(9,18),(10,14),(10,15),(11,17),(12,17),(14,18),(15,18),(16,3),(16,17),(17,13),(18,1),(18,2),(18,6)],19)
([(0,7),(1,7),(2,7),(6,3),(6,4),(6,5),(7,6)],8)=>([(0,4),(0,5),(0,6),(1,10),(1,11),(2,9),(2,11),(3,9),(3,10),(4,13),(4,14),(5,12),(5,14),(6,12),(6,13),(7,8),(8,1),(8,2),(8,3),(9,15),(10,15),(11,15),(12,16),(13,16),(14,16),(16,7)],17)
([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,15),(2,14),(3,9),(4,11),(4,12),(5,10),(5,12),(6,10),(6,11),(7,13),(8,2),(8,13),(9,15),(10,16),(11,16),(12,16),(13,3),(13,14),(14,1),(14,9),(15,4),(15,5),(15,6)],17)
([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,13),(2,13),(3,9),(4,10),(4,12),(5,10),(5,11),(6,14),(7,14),(8,4),(8,5),(8,9),(9,11),(9,12),(10,15),(11,15),(12,15),(13,3),(13,8),(14,1),(14,2)],16)
([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)=>([(0,6),(0,7),(1,15),(2,10),(3,11),(3,13),(4,11),(4,12),(5,9),(6,14),(7,5),(7,14),(8,3),(8,4),(8,10),(9,15),(10,12),(10,13),(11,16),(12,16),(13,16),(14,1),(14,9),(15,2),(15,8)],17)
([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(0,5),(0,6),(0,7),(1,16),(2,11),(3,12),(3,14),(4,12),(4,13),(5,10),(5,15),(6,9),(6,15),(7,9),(7,10),(8,3),(8,4),(8,11),(9,18),(10,18),(11,13),(11,14),(12,17),(13,17),(14,17),(15,1),(15,18),(16,2),(16,8),(18,16)],19)
([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)=>([(0,6),(0,8),(1,10),(1,14),(2,10),(2,13),(3,11),(4,12),(4,16),(5,12),(5,15),(6,9),(7,4),(7,5),(7,11),(8,1),(8,2),(8,9),(9,13),(9,14),(10,18),(11,15),(11,16),(12,17),(13,18),(14,18),(15,17),(16,17),(18,3),(18,7)],19)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,14),(2,15),(3,9),(4,10),(4,12),(5,10),(5,11),(6,13),(7,13),(8,2),(8,14),(9,11),(9,12),(10,16),(11,16),(12,16),(13,1),(13,8),(14,3),(14,15),(15,4),(15,5),(15,9)],17)
([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,14),(2,16),(3,13),(4,10),(4,12),(5,10),(5,11),(6,9),(7,15),(8,3),(8,15),(9,11),(9,12),(10,17),(11,17),(12,17),(13,2),(13,14),(14,6),(14,16),(15,1),(15,13),(16,4),(16,5),(16,9)],18)
([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,7),(0,8),(1,16),(2,12),(2,15),(3,11),(3,15),(4,11),(4,12),(5,9),(5,14),(6,9),(6,13),(7,10),(8,1),(8,10),(9,18),(10,16),(11,17),(12,17),(13,18),(14,18),(15,5),(15,6),(15,17),(16,2),(16,3),(16,4),(17,13),(17,14)],19)
([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,15),(2,15),(3,12),(3,13),(4,9),(4,11),(5,9),(5,10),(6,14),(7,14),(8,3),(8,10),(8,11),(9,17),(10,12),(10,17),(11,13),(11,17),(12,16),(13,16),(14,1),(14,2),(15,4),(15,5),(15,8),(17,16)],18)
([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)=>([(0,7),(1,12),(1,13),(1,14),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,6),(6,8),(7,5),(8,1),(8,2),(8,3),(8,4),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,16),(12,18),(13,17),(13,18),(14,16),(14,17),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,13),(2,13),(3,12),(4,11),(5,9),(6,9),(7,4),(7,10),(8,3),(8,10),(10,11),(10,12),(11,14),(12,14),(13,5),(13,6),(14,1),(14,2)],15)
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,17),(3,13),(4,13),(5,10),(5,11),(6,9),(6,14),(7,9),(7,15),(8,5),(8,14),(8,15),(9,19),(10,18),(11,2),(11,18),(12,3),(12,4),(14,10),(14,19),(15,11),(15,19),(16,12),(17,12),(18,16),(18,17),(19,1),(19,18)],20)
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)=>([(0,7),(0,8),(1,6),(1,18),(2,5),(2,17),(3,10),(4,10),(5,11),(6,12),(7,2),(7,16),(8,1),(8,16),(9,3),(9,4),(11,13),(12,14),(13,9),(14,9),(15,13),(15,14),(16,17),(16,18),(17,11),(17,15),(18,12),(18,15)],19)
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,13),(2,12),(3,14),(4,15),(5,9),(6,9),(7,3),(7,11),(8,4),(8,11),(10,12),(10,13),(11,14),(11,15),(12,16),(13,16),(14,2),(14,10),(15,1),(15,10),(16,5),(16,6)],17)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)=>([(0,5),(0,6),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,2),(7,11),(8,1),(8,11),(10,7),(10,8),(11,12),(11,13),(12,14),(13,14),(14,3),(14,4)],15)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,6),(1,12),(2,12),(3,17),(4,16),(5,3),(5,15),(6,4),(6,15),(7,9),(7,10),(8,11),(8,14),(9,19),(10,19),(11,18),(13,10),(13,18),(14,9),(14,18),(15,8),(15,16),(15,17),(16,11),(16,13),(17,7),(17,13),(17,14),(18,19),(19,1),(19,2)],20)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,2),(5,7),(6,3),(6,7)],8)=>([(0,3),(0,4),(1,16),(2,17),(3,10),(4,10),(5,11),(5,14),(6,11),(6,15),(7,8),(7,14),(7,15),(8,12),(8,13),(10,5),(10,6),(10,7),(11,19),(12,18),(13,2),(13,18),(14,12),(14,19),(15,13),(15,19),(16,9),(17,9),(18,16),(18,17),(19,1),(19,18)],20)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)=>([(0,7),(0,8),(1,6),(1,16),(2,5),(2,16),(3,13),(4,14),(5,3),(5,17),(6,4),(6,18),(7,10),(8,10),(10,1),(10,2),(11,9),(12,9),(13,11),(14,12),(15,11),(15,12),(16,17),(16,18),(17,13),(17,15),(18,14),(18,15)],19)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)=>([(0,5),(0,6),(1,13),(2,12),(3,15),(4,16),(5,10),(6,10),(7,3),(7,11),(8,4),(8,11),(9,12),(9,13),(10,7),(10,8),(11,15),(11,16),(12,14),(13,14),(15,2),(15,9),(16,1),(16,9)],17)
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>([(0,7),(0,8),(1,13),(2,12),(3,10),(4,11),(5,14),(6,15),(7,5),(7,18),(8,6),(8,18),(10,9),(11,9),(12,3),(12,17),(13,4),(13,17),(14,2),(14,16),(15,1),(15,16),(16,12),(16,13),(17,10),(17,11),(18,14),(18,15)],19)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,4),(1,17),(2,3),(2,17),(3,13),(4,14),(5,9),(5,10),(6,12),(6,16),(7,12),(7,15),(8,5),(8,15),(8,16),(9,19),(10,19),(12,18),(13,11),(14,11),(15,9),(15,18),(16,10),(16,18),(17,13),(17,14),(18,19),(19,1),(19,2)],20)
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)=>([(0,7),(0,8),(1,14),(2,13),(3,12),(4,11),(5,4),(5,10),(6,3),(6,10),(7,2),(7,9),(8,1),(8,9),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(16,5),(16,6)],17)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,12),(2,11),(3,9),(4,9),(5,14),(6,14),(7,2),(7,10),(8,1),(8,10),(9,7),(9,8),(10,11),(10,12),(11,13),(12,13),(14,3),(14,4)],15)
([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,3),(0,4),(1,16),(2,15),(3,2),(3,17),(4,1),(4,17),(5,12),(5,14),(6,12),(6,13),(7,8),(7,13),(7,14),(8,9),(8,10),(9,19),(10,19),(11,5),(11,6),(11,7),(12,18),(13,9),(13,18),(14,10),(14,18),(15,11),(16,11),(17,15),(17,16),(18,19)],20)
([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,4),(1,17),(2,3),(2,17),(3,16),(4,15),(5,12),(6,12),(7,9),(7,10),(8,11),(8,14),(9,19),(10,19),(11,18),(12,1),(12,2),(13,10),(13,18),(14,9),(14,18),(15,11),(15,13),(16,7),(16,13),(16,14),(17,8),(17,15),(17,16),(18,19)],20)
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,8),(1,9),(2,10),(3,6),(3,9),(4,5),(4,12),(5,7),(5,11),(6,4),(6,14),(7,2),(7,13),(8,1),(8,3),(9,14),(11,13),(12,11),(13,10),(14,12)],15)
([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,6),(3,15),(4,14),(5,13),(6,7),(6,16),(7,8),(7,18),(8,4),(8,17),(10,12),(11,10),(12,9),(13,11),(14,9),(15,13),(15,16),(16,11),(16,18),(17,12),(17,14),(18,10),(18,17)],19)
([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
([(0,6),(0,7),(1,5),(1,7),(2,6),(3,4),(4,2),(5,3)],8)=>([(0,7),(0,8),(1,6),(1,18),(2,15),(3,9),(4,5),(4,17),(5,14),(6,4),(6,16),(7,13),(8,1),(8,13),(10,12),(11,10),(12,9),(13,2),(13,18),(14,3),(14,12),(15,11),(16,11),(16,17),(17,10),(17,14),(18,15),(18,16)],19)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8)=>([(0,8),(1,14),(3,12),(4,13),(5,11),(6,7),(6,12),(7,4),(7,9),(8,3),(8,6),(9,11),(9,13),(10,14),(11,10),(12,5),(12,9),(13,1),(13,10),(14,2)],15)
([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8)=>([(0,4),(0,8),(1,11),(2,12),(3,13),(4,9),(5,6),(5,16),(6,3),(6,10),(7,1),(7,14),(8,5),(8,9),(9,16),(10,12),(10,13),(12,15),(13,7),(13,15),(14,11),(15,14),(16,2),(16,10)],17)
([(0,7),(1,4),(1,7),(3,6),(4,3),(5,2),(5,6),(7,5)],8)=>([(0,7),(0,8),(1,5),(1,18),(2,4),(2,17),(3,9),(4,12),(5,6),(5,16),(6,10),(7,15),(8,2),(8,15),(10,13),(11,14),(12,11),(13,9),(14,3),(14,13),(15,1),(15,17),(16,10),(16,14),(17,12),(17,18),(18,11),(18,16)],19)
([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8)=>([(0,6),(0,8),(1,13),(2,12),(3,16),(4,15),(5,9),(6,10),(7,4),(7,11),(8,3),(8,10),(9,12),(10,7),(10,16),(11,13),(11,15),(13,14),(14,2),(14,9),(15,5),(15,14),(16,1),(16,11)],17)
([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)=>([(0,4),(0,8),(1,9),(2,14),(3,11),(4,10),(5,6),(5,9),(6,3),(6,13),(7,2),(7,12),(8,7),(8,10),(9,13),(10,12),(12,14),(13,11),(14,1),(14,5)],15)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,8),(1,12),(1,13),(2,15),(2,16),(4,11),(5,10),(6,9),(6,15),(7,9),(7,16),(8,2),(8,6),(8,7),(9,18),(10,12),(10,14),(11,13),(11,14),(12,17),(13,17),(14,17),(15,5),(15,18),(16,4),(16,18),(17,3),(18,1),(18,10),(18,11)],19)
([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(2,17),(3,16),(4,13),(5,14),(6,3),(6,15),(7,2),(7,15),(8,11),(8,12),(9,1),(10,18),(11,4),(11,18),(12,5),(12,18),(13,9),(14,9),(15,8),(15,16),(15,17),(16,10),(16,11),(17,10),(17,12),(18,13),(18,14)],19)
([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,7),(0,8),(1,6),(1,18),(2,14),(3,15),(4,9),(5,11),(6,5),(6,16),(7,13),(8,1),(8,13),(10,12),(11,10),(12,9),(13,2),(13,18),(14,3),(14,17),(15,4),(15,12),(16,11),(16,17),(17,10),(17,15),(18,14),(18,16)],19)
([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,7),(0,8),(2,13),(3,14),(4,6),(4,17),(5,9),(6,10),(7,3),(7,16),(8,4),(8,16),(9,1),(10,11),(11,12),(12,9),(13,5),(13,12),(14,2),(14,15),(15,11),(15,13),(16,14),(16,17),(17,10),(17,15)],18)
([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)=>([(0,7),(0,8),(2,6),(2,17),(3,14),(4,9),(5,13),(6,5),(6,15),(7,2),(7,16),(8,3),(8,16),(9,1),(10,11),(11,12),(12,9),(13,4),(13,12),(14,10),(15,11),(15,13),(16,14),(16,17),(17,10),(17,15)],18)
([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)
([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8)=>([(0,8),(1,9),(2,13),(3,12),(4,11),(5,4),(5,10),(6,7),(6,10),(7,2),(7,14),(8,5),(8,6),(9,12),(10,11),(10,14),(11,16),(13,15),(14,13),(14,16),(15,3),(15,9),(16,1),(16,15)],17)
([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,6),(0,8),(1,15),(2,11),(3,9),(4,13),(5,14),(6,10),(7,1),(7,12),(8,7),(8,10),(10,12),(11,9),(12,5),(12,15),(13,3),(13,11),(14,2),(14,13),(15,4),(15,14)],16)
([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(7,5),(7,6)],8)=>([(0,7),(0,8),(1,15),(2,6),(2,17),(3,14),(4,9),(5,10),(6,5),(6,16),(7,12),(8,2),(8,12),(10,11),(11,4),(11,15),(12,3),(12,17),(13,1),(13,11),(14,13),(15,9),(16,10),(16,13),(17,14),(17,16)],18)
([(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5),(7,5)],8)=>([(0,7),(0,8),(1,14),(2,15),(3,13),(4,5),(4,19),(5,6),(5,16),(6,12),(7,11),(8,4),(8,11),(10,9),(11,2),(11,19),(12,1),(12,17),(13,10),(14,9),(15,3),(15,18),(16,12),(16,18),(17,10),(17,14),(18,13),(18,17),(19,15),(19,16)],20)
([(0,6),(0,7),(1,5),(2,6),(5,2),(5,7),(6,3),(7,4)],8)=>([(0,7),(0,8),(1,4),(1,17),(2,6),(2,15),(3,5),(3,16),(4,13),(5,11),(6,14),(7,10),(8,2),(8,10),(10,15),(11,12),(12,9),(13,9),(14,1),(14,16),(15,3),(15,14),(16,11),(16,17),(17,12),(17,13)],18)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,4),(1,16),(2,5),(2,16),(3,14),(4,15),(5,3),(5,17),(6,11),(6,12),(7,10),(7,12),(8,10),(8,11),(10,18),(11,18),(12,18),(13,9),(14,9),(15,13),(16,15),(16,17),(17,13),(17,14),(18,1),(18,2)],19)
([(0,4),(0,5),(1,6),(2,7),(3,2),(4,3),(4,6),(5,1),(5,7)],8)=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,18),(5,7),(5,18),(6,11),(7,8),(7,15),(8,12),(10,9),(11,3),(11,17),(12,2),(12,16),(13,10),(14,9),(15,12),(15,17),(16,10),(16,14),(17,13),(17,16),(18,11),(18,15)],19)
([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)=>([(0,8),(1,9),(2,12),(3,10),(4,11),(5,2),(5,9),(6,3),(6,13),(7,4),(7,14),(8,1),(8,5),(9,7),(9,12),(10,16),(11,15),(12,6),(12,14),(13,10),(13,15),(14,11),(14,13),(15,16)],17)
([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,6),(0,7),(0,8),(1,17),(2,9),(3,2),(3,16),(4,11),(4,12),(5,10),(5,12),(6,14),(6,15),(7,13),(7,15),(8,13),(8,14),(10,18),(11,18),(12,1),(12,18),(13,19),(14,19),(15,4),(15,5),(15,19),(16,9),(17,16),(18,3),(18,17),(19,10),(19,11)],20)
([(0,5),(1,3),(2,6),(3,6),(3,7),(4,2),(4,7),(5,4)],8)=>([(0,7),(0,8),(1,15),(2,6),(2,18),(3,14),(4,9),(5,11),(6,5),(6,16),(7,2),(7,17),(8,3),(8,17),(10,13),(11,12),(12,4),(12,15),(13,1),(13,12),(14,10),(15,9),(16,11),(16,13),(17,14),(17,18),(18,10),(18,16)],19)
([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)=>([(0,5),(0,6),(0,7),(1,13),(2,15),(3,9),(4,12),(5,11),(5,14),(6,10),(6,14),(7,10),(7,11),(8,2),(8,16),(9,13),(10,17),(11,17),(12,16),(14,4),(14,17),(15,1),(15,9),(16,3),(16,15),(17,8),(17,12)],18)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,15),(3,4),(3,18),(4,5),(4,17),(5,13),(6,10),(6,11),(7,11),(7,12),(8,10),(8,12),(10,19),(11,19),(12,1),(12,19),(13,9),(14,9),(15,14),(16,2),(16,18),(17,13),(17,14),(18,15),(18,17),(19,3),(19,16)],20)
([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(0,4),(1,2),(1,16),(2,17),(3,15),(4,1),(4,15),(5,13),(5,14),(6,12),(6,14),(7,10),(7,11),(8,9),(8,11),(9,19),(10,19),(11,5),(11,6),(11,19),(12,18),(13,18),(14,18),(15,16),(16,7),(16,8),(16,17),(17,9),(17,10),(19,12),(19,13)],20)
([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,8),(1,12),(2,10),(3,11),(3,14),(4,11),(4,13),(5,9),(6,15),(7,5),(7,16),(8,2),(8,15),(9,13),(9,14),(10,7),(10,12),(11,17),(12,16),(13,17),(14,17),(15,1),(15,10),(16,3),(16,4),(16,9)],18)
([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,8),(1,15),(2,9),(3,14),(4,11),(5,10),(6,13),(7,5),(7,12),(8,1),(8,13),(9,7),(9,11),(11,12),(12,10),(13,3),(13,15),(14,4),(14,9),(15,2),(15,14)],16)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,7),(0,8),(1,9),(2,14),(4,12),(5,11),(6,4),(6,13),(7,5),(7,10),(8,6),(8,10),(9,14),(10,11),(10,13),(11,16),(12,15),(13,12),(13,16),(14,3),(15,2),(15,9),(16,1),(16,15)],17)
([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)=>([(0,7),(0,8),(1,6),(1,15),(2,13),(3,14),(4,5),(4,17),(5,10),(6,9),(7,4),(7,16),(8,3),(8,16),(10,12),(11,2),(11,12),(12,1),(12,13),(13,15),(14,11),(15,9),(16,14),(16,17),(17,10),(17,11)],18)
([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)=>([(0,4),(0,5),(1,15),(2,3),(2,17),(3,14),(4,1),(4,16),(5,2),(5,16),(6,11),(6,12),(7,10),(7,12),(8,10),(8,11),(9,6),(9,7),(9,8),(10,18),(11,18),(12,18),(13,9),(14,9),(15,13),(16,15),(16,17),(17,13),(17,14)],19)
([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)=>([(0,5),(0,6),(1,18),(2,15),(3,4),(3,17),(4,14),(5,2),(5,16),(6,3),(6,16),(7,10),(7,11),(8,9),(8,11),(9,19),(10,19),(11,19),(12,13),(13,7),(13,8),(13,18),(14,1),(14,13),(15,12),(16,15),(16,17),(17,12),(17,14),(18,9),(18,10)],20)
([(0,3),(0,6),(1,4),(1,7),(2,6),(3,5),(3,7),(4,2),(6,5)],8)=>([(0,7),(0,8),(1,13),(2,14),(3,15),(4,6),(4,19),(5,9),(6,12),(7,4),(7,17),(8,3),(8,17),(10,11),(11,9),(12,2),(12,18),(13,10),(14,5),(14,11),(15,1),(15,16),(16,13),(16,18),(17,15),(17,19),(18,10),(18,14),(19,12),(19,16)],20)
([(0,3),(0,6),(1,4),(1,7),(2,6),(3,7),(4,2),(6,5),(7,5)],8)=>([(0,7),(0,8),(2,12),(3,13),(4,14),(5,6),(5,18),(6,11),(7,5),(7,16),(8,4),(8,16),(9,1),(10,9),(11,3),(11,17),(12,10),(13,9),(14,2),(14,15),(15,12),(15,17),(16,14),(16,18),(17,10),(17,13),(18,11),(18,15)],19)
([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8)=>([(0,5),(0,8),(2,12),(3,10),(4,11),(5,9),(6,4),(6,13),(7,3),(7,14),(8,2),(8,9),(9,7),(9,12),(10,15),(11,16),(12,6),(12,14),(13,11),(13,15),(14,10),(14,13),(15,16),(16,1)],17)
([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,7),(0,8),(1,15),(2,6),(2,17),(3,5),(3,16),(4,9),(5,11),(6,14),(7,13),(8,1),(8,13),(10,12),(11,10),(12,9),(13,3),(13,15),(14,4),(14,12),(15,2),(15,16),(16,11),(16,17),(17,10),(17,14)],18)
([(0,6),(0,7),(1,4),(1,7),(4,6),(5,3),(6,5),(7,2)],8)=>([(0,7),(0,8),(1,15),(2,5),(2,18),(3,4),(3,17),(4,11),(5,6),(5,16),(6,13),(7,14),(8,1),(8,14),(10,12),(11,10),(12,9),(13,9),(14,3),(14,15),(15,2),(15,17),(16,12),(16,13),(17,11),(17,18),(18,10),(18,16)],19)
([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,5),(0,8),(1,15),(2,12),(3,11),(4,13),(5,9),(6,4),(6,10),(7,6),(7,16),(8,2),(8,9),(9,7),(9,12),(10,13),(10,15),(12,16),(13,14),(14,11),(15,3),(15,14),(16,1),(16,10)],17)
([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8)=>([(0,5),(0,6),(0,7),(1,13),(2,14),(3,12),(4,9),(5,11),(5,15),(6,10),(6,15),(7,10),(7,11),(8,4),(8,16),(9,13),(10,17),(11,17),(12,8),(12,14),(14,16),(15,3),(15,17),(16,1),(16,9),(17,2),(17,12)],18)
([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8)=>([(0,5),(0,8),(1,9),(2,12),(3,13),(4,11),(5,16),(6,4),(6,10),(7,1),(7,15),(8,6),(8,16),(9,12),(10,11),(10,13),(11,14),(13,7),(13,14),(14,15),(15,2),(15,9),(16,3),(16,10)],17)
([(0,4),(0,6),(1,3),(1,7),(3,6),(4,5),(4,7),(6,5),(7,2)],8)=>([(0,7),(0,8),(1,13),(2,12),(3,6),(3,19),(4,14),(5,15),(6,10),(7,4),(7,18),(8,5),(8,18),(10,11),(11,9),(12,9),(13,2),(13,17),(14,1),(14,16),(15,3),(15,16),(16,13),(16,19),(17,11),(17,12),(18,14),(18,15),(19,10),(19,17)],20)
([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,15),(2,14),(3,12),(4,16),(5,17),(6,9),(6,10),(7,9),(7,11),(8,10),(8,11),(9,19),(10,4),(10,19),(11,5),(11,19),(13,12),(14,13),(15,3),(15,13),(16,1),(16,18),(17,2),(17,18),(18,14),(18,15),(19,16),(19,17)],20)
([(0,5),(1,4),(1,6),(3,6),(4,7),(5,3),(5,7),(7,2)],8)=>([(0,7),(0,8),(1,14),(2,6),(2,18),(3,15),(4,5),(4,19),(5,13),(6,11),(7,4),(7,17),(8,3),(8,17),(10,9),(11,9),(12,2),(12,16),(13,1),(13,16),(14,10),(15,12),(16,14),(16,18),(17,15),(17,19),(18,10),(18,11),(19,12),(19,13)],20)
([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)=>([(0,7),(1,9),(2,10),(3,8),(4,5),(4,9),(5,6),(5,12),(6,2),(6,11),(7,3),(8,1),(8,4),(9,12),(11,10),(12,11)],13)
([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,5),(0,8),(1,10),(2,12),(3,9),(3,14),(4,9),(4,13),(5,11),(6,7),(6,10),(7,2),(7,15),(8,3),(8,4),(8,11),(9,16),(10,15),(11,13),(11,14),(13,16),(14,16),(15,12),(16,1),(16,6)],17)
([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8)=>([(0,8),(1,9),(2,16),(3,11),(4,12),(5,2),(5,9),(6,3),(6,13),(7,6),(7,10),(8,1),(8,5),(9,7),(9,16),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,4),(16,10)],17)
([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,5),(0,8),(1,15),(2,12),(3,11),(4,13),(5,9),(6,4),(6,10),(7,1),(7,10),(8,2),(8,9),(9,12),(10,13),(10,15),(12,6),(12,7),(13,14),(14,11),(15,3),(15,14)],16)
([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8)=>([(0,4),(0,5),(1,9),(2,11),(3,10),(4,14),(5,14),(6,7),(6,9),(7,2),(7,12),(8,3),(8,13),(9,12),(11,13),(12,8),(12,11),(13,10),(14,1),(14,6)],15)
([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,5),(6,7),(7,2)],8)=>([(0,7),(0,8),(1,15),(2,14),(3,6),(3,17),(4,5),(4,16),(5,10),(6,11),(7,13),(8,4),(8,13),(10,12),(11,9),(12,2),(12,17),(13,1),(13,16),(14,9),(15,3),(15,12),(16,10),(16,15),(17,11),(17,14)],18)
([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,15),(2,14),(3,13),(4,6),(4,17),(5,9),(6,12),(7,11),(8,4),(8,11),(10,9),(11,2),(11,17),(12,1),(12,16),(13,10),(14,3),(14,16),(15,5),(15,10),(16,13),(16,15),(17,12),(17,14)],18)
([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8)=>([(0,4),(0,5),(0,6),(1,11),(2,12),(3,13),(4,9),(4,10),(5,10),(5,16),(6,9),(6,16),(7,3),(7,15),(8,2),(8,14),(9,17),(10,17),(11,15),(13,14),(14,12),(15,8),(15,13),(16,1),(16,17),(17,7),(17,11)],18)
([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)=>([(0,8),(1,13),(2,14),(2,15),(3,10),(4,9),(4,12),(5,9),(5,11),(6,2),(6,11),(6,12),(7,3),(7,16),(8,4),(8,5),(8,6),(9,18),(10,13),(11,15),(11,18),(12,14),(12,18),(14,17),(15,7),(15,17),(16,1),(16,10),(17,16),(18,17)],19)
([(0,7),(1,6),(3,5),(4,3),(5,2),(6,4),(6,7)],8)=>([(0,7),(0,8),(1,13),(2,4),(2,10),(3,15),(4,5),(4,16),(5,6),(5,18),(6,3),(6,17),(7,11),(8,2),(8,11),(10,1),(10,16),(11,10),(12,14),(13,12),(14,9),(15,9),(16,13),(16,18),(17,14),(17,15),(18,12),(18,17)],19)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8)=>([(0,7),(0,8),(1,4),(1,15),(2,6),(2,15),(3,14),(4,13),(5,3),(5,17),(6,5),(6,16),(7,10),(8,10),(10,1),(10,2),(11,12),(12,9),(13,11),(14,9),(15,13),(15,16),(16,11),(16,17),(17,12),(17,14)],18)
([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)=>([(0,4),(0,8),(1,9),(2,9),(3,14),(4,10),(5,7),(5,12),(6,3),(6,11),(7,6),(7,13),(8,5),(8,10),(10,12),(11,14),(12,13),(13,11),(14,1),(14,2)],15)
([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(0,8),(1,15),(1,16),(2,14),(2,16),(3,9),(4,9),(5,10),(5,13),(6,10),(6,12),(7,11),(8,1),(8,2),(8,11),(10,18),(11,14),(11,15),(12,18),(13,18),(14,17),(15,17),(16,5),(16,6),(16,17),(17,12),(17,13),(18,3),(18,4)],19)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)=>([(0,6),(0,7),(1,14),(1,16),(2,13),(2,16),(3,10),(4,9),(4,12),(5,9),(5,11),(6,15),(7,15),(8,1),(8,2),(8,10),(9,18),(10,13),(10,14),(11,18),(12,18),(13,17),(14,17),(15,3),(15,8),(16,4),(16,5),(16,17),(17,11),(17,12)],19)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,6),(0,8),(1,11),(2,9),(3,9),(4,10),(4,14),(5,12),(5,13),(6,16),(7,5),(7,10),(7,15),(8,1),(8,16),(10,13),(10,17),(11,14),(11,15),(12,18),(13,18),(14,17),(15,12),(15,17),(16,4),(16,7),(16,11),(17,18),(18,2),(18,3)],19)
([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)=>([(0,5),(0,7),(1,9),(2,9),(3,11),(3,14),(4,12),(4,13),(5,10),(6,4),(6,11),(6,15),(7,8),(7,10),(8,3),(8,6),(8,16),(10,16),(11,12),(11,17),(12,18),(13,18),(14,17),(15,13),(15,17),(16,14),(16,15),(17,18),(18,1),(18,2)],19)
([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,16),(2,10),(3,9),(3,13),(4,11),(4,12),(5,15),(6,15),(7,2),(7,16),(8,4),(8,9),(8,14),(9,12),(9,17),(10,13),(10,14),(11,18),(12,18),(13,17),(14,11),(14,17),(15,1),(15,7),(16,3),(16,8),(16,10),(17,18)],19)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)=>([(0,4),(0,5),(1,9),(2,10),(2,13),(3,11),(3,12),(4,16),(5,16),(6,8),(6,9),(7,3),(7,10),(7,14),(8,2),(8,7),(8,15),(9,15),(10,11),(10,17),(11,18),(12,18),(13,17),(14,12),(14,17),(15,13),(15,14),(16,1),(16,6),(17,18)],19)
([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,6),(0,8),(1,15),(2,14),(3,11),(4,9),(5,9),(6,13),(7,3),(7,10),(8,7),(8,13),(10,11),(10,14),(11,12),(12,15),(13,2),(13,10),(14,1),(14,12),(15,4),(15,5)],16)
([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8)=>([(0,6),(0,8),(1,9),(2,16),(3,14),(4,11),(5,13),(6,15),(7,5),(7,10),(8,1),(8,15),(9,7),(9,14),(10,13),(10,16),(12,11),(13,12),(14,2),(14,10),(15,3),(15,9),(16,4),(16,12)],17)
([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,7),(0,8),(1,13),(2,14),(3,15),(4,6),(4,17),(5,9),(6,12),(7,11),(8,4),(8,11),(10,9),(11,2),(11,17),(12,1),(12,16),(13,10),(14,3),(14,16),(15,5),(15,10),(16,13),(16,15),(17,12),(17,14)],18)
([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8)=>([(0,6),(0,8),(1,9),(2,14),(3,16),(4,11),(5,13),(6,15),(7,3),(7,10),(8,1),(8,15),(9,7),(9,14),(10,13),(10,16),(12,11),(13,12),(14,5),(14,10),(15,2),(15,9),(16,4),(16,12)],17)
([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,8),(1,12),(2,12),(3,13),(4,9),(5,9),(6,10),(7,3),(7,11),(8,7),(8,10),(10,11),(11,13),(12,4),(12,5),(13,1),(13,2)],14)
([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,13),(2,9),(3,9),(4,10),(5,12),(6,12),(7,1),(7,11),(8,7),(8,10),(10,11),(11,13),(12,4),(12,8),(13,2),(13,3)],14)
([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)=>([(0,6),(0,7),(1,9),(2,9),(3,10),(3,13),(4,10),(4,12),(5,14),(6,11),(7,5),(7,11),(8,3),(8,4),(8,15),(10,16),(11,8),(11,14),(12,16),(13,16),(14,15),(15,12),(15,13),(16,1),(16,2)],17)
([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)=>([(0,5),(0,7),(1,15),(2,10),(3,11),(3,14),(4,11),(4,13),(5,9),(6,1),(6,12),(7,6),(7,9),(8,3),(8,4),(8,10),(9,12),(10,13),(10,14),(11,16),(12,15),(13,16),(14,16),(15,2),(15,8)],17)
([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,12),(2,12),(3,9),(4,10),(5,13),(6,13),(7,8),(7,9),(8,4),(8,11),(9,11),(11,10),(12,3),(12,7),(13,1),(13,2)],14)
([(0,4),(0,7),(1,5),(3,7),(4,6),(5,3),(5,6),(7,2)],8)=>([(0,7),(0,8),(1,14),(2,6),(2,18),(3,15),(4,5),(4,19),(5,13),(6,11),(7,4),(7,17),(8,3),(8,17),(10,9),(11,9),(12,1),(12,16),(13,2),(13,16),(14,10),(15,12),(16,14),(16,18),(17,15),(17,19),(18,10),(18,11),(19,12),(19,13)],20)
([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)=>([(0,4),(0,5),(1,3),(1,16),(2,7),(2,8),(2,17),(3,13),(4,12),(5,1),(5,12),(6,9),(6,10),(7,11),(7,15),(8,6),(8,14),(8,15),(9,19),(10,19),(11,18),(12,16),(13,17),(14,10),(14,18),(15,9),(15,18),(16,2),(16,13),(17,11),(17,14),(18,19)],20)
([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8)=>([(0,5),(0,6),(1,10),(2,9),(2,12),(3,9),(3,11),(4,13),(5,15),(6,15),(7,4),(7,10),(8,2),(8,3),(8,14),(9,16),(10,8),(10,13),(11,16),(12,16),(13,14),(14,11),(14,12),(15,1),(15,7)],17)
([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)=>([(0,3),(0,4),(1,9),(2,10),(3,14),(4,14),(5,6),(5,9),(6,8),(6,11),(7,2),(7,13),(8,7),(8,12),(9,11),(11,12),(12,13),(13,10),(14,1),(14,5)],15)
([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8)=>([(0,4),(0,7),(1,13),(2,9),(2,12),(3,9),(3,11),(4,10),(5,8),(5,15),(6,5),(6,14),(7,1),(7,10),(8,2),(8,3),(8,16),(9,17),(10,6),(10,13),(11,17),(12,17),(13,14),(14,15),(15,16),(16,11),(16,12)],18)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,9),(3,9),(4,13),(4,14),(5,12),(5,14),(6,11),(6,15),(7,10),(7,15),(8,10),(8,11),(10,18),(11,18),(12,17),(13,17),(14,1),(14,17),(15,4),(15,5),(15,18),(16,2),(16,3),(17,16),(18,12),(18,13)],19)
([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,10),(1,15),(2,9),(2,15),(3,12),(3,14),(4,11),(4,14),(5,13),(6,9),(6,10),(7,16),(8,16),(9,18),(10,18),(11,17),(12,17),(14,5),(14,17),(15,3),(15,4),(15,18),(16,1),(16,2),(16,6),(17,13),(18,11),(18,12)],19)
([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)=>([(0,4),(0,5),(1,16),(2,15),(3,12),(4,17),(5,6),(5,7),(5,17),(6,10),(6,14),(7,8),(7,13),(7,14),(8,9),(8,11),(9,19),(10,18),(11,1),(11,19),(13,9),(13,18),(14,11),(14,18),(15,12),(16,3),(16,15),(17,10),(17,13),(18,19),(19,2),(19,16)],20)
([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8)=>([(0,8),(1,13),(2,16),(3,14),(4,9),(4,10),(5,10),(5,11),(6,9),(6,11),(7,2),(7,12),(8,4),(8,5),(8,6),(9,17),(10,17),(11,7),(11,17),(12,14),(12,16),(14,15),(15,13),(16,1),(16,15),(17,3),(17,12)],18)
([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)=>([(0,4),(0,5),(1,16),(2,15),(3,12),(4,17),(5,7),(5,8),(5,17),(6,9),(6,11),(7,10),(7,13),(8,10),(8,14),(9,19),(10,18),(11,1),(11,19),(13,9),(13,18),(14,11),(14,18),(15,12),(16,3),(16,15),(17,6),(17,13),(17,14),(18,19),(19,2),(19,16)],20)
([(0,2),(0,3),(0,4),(2,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)=>([(0,1),(1,6),(1,7),(1,8),(2,16),(3,4),(3,18),(4,5),(4,17),(5,14),(6,10),(6,11),(7,10),(7,12),(8,11),(8,12),(10,19),(11,2),(11,19),(12,3),(12,19),(13,15),(14,9),(15,9),(16,13),(17,14),(17,15),(18,13),(18,17),(19,16),(19,18)],20)
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,4),(0,5),(0,6),(1,13),(2,14),(3,9),(4,11),(4,12),(5,10),(5,12),(6,10),(6,11),(7,2),(7,9),(8,1),(8,15),(9,8),(9,14),(10,16),(11,16),(12,16),(14,15),(15,13),(16,3),(16,7)],17)
([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,6),(0,7),(0,8),(1,17),(2,9),(3,16),(4,11),(4,12),(5,10),(5,12),(6,14),(6,15),(7,13),(7,15),(8,13),(8,14),(10,18),(11,18),(12,1),(12,18),(13,19),(14,19),(15,4),(15,5),(15,19),(16,9),(17,2),(17,16),(18,3),(18,17),(19,10),(19,11)],20)
([(0,5),(1,6),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,15),(3,9),(4,9),(5,11),(6,13),(6,14),(7,10),(7,13),(8,10),(8,14),(10,17),(11,12),(12,16),(13,5),(13,17),(14,2),(14,17),(15,1),(15,12),(16,3),(16,4),(17,11),(17,15)],18)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4)],8)=>([(0,7),(0,8),(1,12),(1,13),(2,11),(2,13),(3,14),(4,9),(5,9),(6,10),(7,15),(8,6),(8,15),(10,11),(10,12),(11,16),(12,16),(13,3),(13,16),(14,4),(14,5),(15,1),(15,2),(15,10),(16,14)],17)
([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,16),(2,13),(2,15),(3,9),(4,9),(5,10),(5,12),(6,10),(6,11),(7,14),(8,5),(8,6),(8,14),(10,18),(11,15),(11,18),(12,13),(12,18),(13,17),(14,2),(14,11),(14,12),(15,1),(15,17),(16,3),(16,4),(17,16),(18,17)],19)
([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,6),(0,7),(0,8),(1,17),(2,12),(3,13),(4,13),(5,9),(5,10),(6,11),(6,15),(7,11),(7,14),(8,5),(8,14),(8,15),(9,19),(10,19),(11,1),(11,18),(12,3),(12,4),(14,9),(14,18),(15,10),(15,18),(16,12),(17,2),(17,16),(18,17),(18,19),(19,16)],20)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,7),(0,8),(1,15),(2,10),(3,9),(4,11),(5,13),(5,14),(6,12),(6,14),(7,16),(8,2),(8,16),(9,11),(10,12),(10,13),(12,17),(13,17),(14,1),(14,17),(15,4),(15,9),(16,5),(16,6),(16,10),(17,3),(17,15)],18)
([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(0,4),(1,15),(2,17),(3,16),(4,2),(4,16),(5,13),(5,14),(6,12),(6,14),(7,10),(7,11),(8,9),(8,11),(9,19),(10,19),(11,5),(11,6),(11,19),(12,18),(13,18),(14,1),(14,18),(16,7),(16,8),(16,17),(17,9),(17,10),(18,15),(19,12),(19,13)],20)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,2),(6,3),(7,2),(7,4)],8)=>([(0,7),(0,8),(1,12),(2,13),(2,14),(3,15),(4,9),(4,13),(5,9),(5,14),(6,10),(7,16),(8,16),(9,17),(10,11),(11,12),(13,6),(13,17),(14,3),(14,17),(15,1),(15,11),(16,2),(16,4),(16,5),(17,10),(17,15)],18)
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,5),(0,6),(1,16),(2,15),(3,12),(4,17),(5,14),(6,4),(6,14),(7,10),(7,11),(8,9),(8,11),(9,18),(10,2),(10,18),(11,1),(11,18),(13,12),(14,7),(14,8),(14,17),(15,13),(16,3),(16,13),(17,9),(17,10),(18,15),(18,16)],19)
([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,5),(0,6),(1,15),(2,14),(3,10),(4,12),(5,13),(6,13),(7,8),(7,14),(8,4),(8,9),(9,12),(9,15),(11,10),(12,11),(13,2),(13,7),(14,1),(14,9),(15,3),(15,11)],16)
([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,6),(0,8),(1,14),(2,16),(3,11),(4,12),(5,9),(6,15),(7,4),(7,10),(8,7),(8,15),(9,11),(10,12),(10,16),(12,13),(13,5),(13,14),(14,3),(14,9),(15,2),(15,10),(16,1),(16,13)],17)
([(0,6),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,14),(3,12),(4,17),(5,15),(6,9),(6,10),(7,9),(7,11),(8,10),(8,11),(9,18),(10,5),(10,18),(11,4),(11,18),(13,2),(13,16),(14,12),(15,13),(16,3),(16,14),(17,1),(17,13),(18,15),(18,17)],19)
([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,15),(3,12),(4,5),(4,17),(5,13),(6,9),(6,10),(7,10),(7,11),(8,9),(8,11),(9,18),(10,18),(11,1),(11,18),(13,14),(14,12),(15,3),(15,14),(16,2),(16,17),(17,13),(17,15),(18,4),(18,16)],19)
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(4,3),(5,3),(6,4),(6,5)],8)=>([(0,6),(0,7),(0,8),(1,12),(2,16),(3,17),(4,10),(4,11),(5,9),(5,11),(6,14),(6,15),(7,13),(7,15),(8,13),(8,14),(9,19),(10,19),(11,1),(11,19),(13,18),(14,18),(15,2),(15,18),(16,4),(16,5),(16,17),(17,9),(17,10),(18,3),(18,16),(19,12)],20)
([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,5),(0,6),(1,15),(2,12),(3,4),(3,17),(4,13),(5,14),(6,3),(6,14),(7,10),(7,11),(8,9),(8,11),(9,18),(10,18),(11,2),(11,18),(13,16),(14,1),(14,17),(15,7),(15,8),(15,16),(16,9),(16,10),(17,13),(17,15),(18,12)],19)
([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([(0,7),(0,8),(1,16),(2,12),(2,15),(3,11),(3,15),(4,13),(5,10),(6,9),(7,14),(8,4),(8,14),(9,11),(9,12),(11,17),(12,17),(13,6),(13,16),(14,1),(14,13),(15,5),(15,17),(16,2),(16,3),(16,9),(17,10)],18)
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,12),(1,14),(2,11),(2,14),(3,15),(4,10),(5,9),(6,13),(7,13),(8,5),(8,15),(9,11),(9,12),(11,16),(12,16),(13,3),(13,8),(14,4),(14,16),(15,1),(15,2),(15,9),(16,10)],17)
([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8)=>([(0,6),(0,7),(1,13),(1,16),(2,15),(3,12),(4,9),(4,10),(5,9),(5,11),(6,14),(7,14),(8,4),(8,5),(8,15),(9,18),(10,16),(10,18),(11,13),(11,18),(13,17),(14,2),(14,8),(15,1),(15,10),(15,11),(16,3),(16,17),(17,12),(18,17)],19)
([(0,2),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5)],8)=>([(0,4),(0,5),(1,16),(2,12),(3,17),(4,15),(5,1),(5,15),(6,9),(6,11),(7,10),(7,13),(8,10),(8,14),(9,19),(10,18),(11,2),(11,19),(13,9),(13,18),(14,11),(14,18),(15,3),(15,16),(16,7),(16,8),(16,17),(17,6),(17,13),(17,14),(18,19),(19,12)],20)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,17),(2,13),(3,11),(4,11),(5,12),(5,15),(6,12),(6,14),(7,8),(7,14),(7,15),(8,9),(8,10),(9,19),(10,19),(11,5),(11,6),(11,7),(12,1),(12,18),(14,9),(14,18),(15,10),(15,18),(16,13),(17,2),(17,16),(18,17),(18,19),(19,16)],20)
([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)=>([(0,6),(0,7),(0,8),(1,16),(2,17),(3,2),(3,15),(4,9),(4,11),(5,9),(5,10),(6,13),(6,14),(7,12),(7,14),(8,12),(8,13),(9,18),(10,18),(11,18),(12,19),(13,19),(14,1),(14,19),(15,4),(15,5),(15,17),(16,15),(17,10),(17,11),(19,3),(19,16)],20)
([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(0,8),(1,13),(1,14),(2,12),(2,14),(3,15),(4,9),(5,9),(6,11),(7,10),(8,1),(8,2),(8,10),(10,12),(10,13),(11,15),(12,16),(13,16),(14,6),(14,16),(15,4),(15,5),(16,3),(16,11)],17)
([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,3),(0,4),(1,16),(2,15),(3,17),(4,5),(4,6),(4,17),(5,10),(5,11),(6,9),(6,11),(7,13),(7,14),(8,12),(8,14),(9,19),(10,19),(11,7),(11,8),(11,19),(12,18),(13,18),(14,1),(14,18),(16,15),(17,9),(17,10),(18,2),(18,16),(19,12),(19,13)],20)
([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8)=>([(0,6),(0,8),(1,16),(2,9),(3,9),(4,10),(4,12),(5,13),(5,14),(6,11),(7,5),(7,10),(7,15),(8,4),(8,7),(8,11),(10,14),(10,18),(11,12),(11,15),(12,18),(13,17),(14,17),(15,13),(15,18),(16,2),(16,3),(17,16),(18,1),(18,17)],19)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,6),(0,8),(1,12),(1,13),(2,10),(3,11),(4,9),(5,9),(6,15),(7,3),(7,16),(8,7),(8,15),(10,12),(10,14),(11,13),(11,14),(12,17),(13,17),(14,17),(15,2),(15,16),(16,1),(16,10),(16,11),(17,4),(17,5)],18)
([(0,3),(0,5),(1,5),(1,6),(2,4),(2,7),(3,2),(3,6),(5,7),(6,4),(6,7)],8)=>([(0,6),(0,7),(1,14),(2,5),(2,17),(3,16),(4,12),(5,15),(6,13),(7,2),(7,13),(8,10),(8,11),(9,18),(10,18),(11,1),(11,18),(13,3),(13,17),(14,12),(15,9),(15,11),(16,9),(16,10),(17,8),(17,15),(17,16),(18,4),(18,14)],19)
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,7),(0,8),(1,9),(2,10),(3,16),(4,13),(4,15),(5,12),(5,15),(6,11),(7,14),(8,3),(8,14),(9,11),(10,12),(10,13),(12,17),(13,17),(14,2),(14,16),(15,1),(15,17),(16,4),(16,5),(16,10),(17,6),(17,9)],18)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2),(6,3)],8)=>([(0,6),(0,7),(1,9),(2,10),(3,13),(3,15),(4,12),(4,15),(5,11),(6,14),(7,14),(8,3),(8,4),(8,10),(9,11),(10,12),(10,13),(12,16),(13,16),(14,2),(14,8),(15,1),(15,16),(16,5),(16,9)],17)
([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,3),(0,4),(1,16),(2,17),(3,15),(4,1),(4,15),(5,13),(5,14),(6,12),(6,14),(7,10),(7,11),(8,9),(8,11),(9,19),(10,19),(11,5),(11,6),(11,19),(12,18),(13,18),(14,18),(15,2),(15,16),(16,7),(16,8),(16,17),(17,9),(17,10),(19,12),(19,13)],20)
([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8)=>([(0,5),(0,6),(1,9),(2,11),(3,10),(3,12),(4,13),(4,14),(5,16),(6,16),(7,4),(7,10),(7,15),(8,3),(8,7),(8,11),(10,14),(10,18),(11,12),(11,15),(12,18),(13,17),(14,17),(15,13),(15,18),(16,2),(16,8),(17,9),(18,1),(18,17)],19)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8)=>([(0,4),(0,5),(1,16),(2,17),(3,12),(4,15),(5,1),(5,15),(6,11),(6,14),(7,8),(7,13),(7,14),(8,9),(8,10),(9,19),(10,19),(11,18),(13,10),(13,18),(14,9),(14,18),(15,2),(15,16),(16,6),(16,7),(16,17),(17,11),(17,13),(18,3),(18,19),(19,12)],20)
([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5)],8)=>([(0,4),(0,5),(1,12),(2,16),(3,15),(4,17),(5,6),(5,7),(5,17),(6,11),(6,14),(7,8),(7,13),(7,14),(8,9),(8,10),(9,19),(10,19),(11,18),(13,10),(13,18),(14,9),(14,18),(15,12),(16,1),(16,15),(17,11),(17,13),(18,2),(18,19),(19,3),(19,16)],20)
([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)=>([(0,5),(0,6),(1,12),(2,4),(2,17),(3,15),(4,13),(5,16),(6,7),(6,8),(6,16),(7,10),(7,11),(8,9),(8,11),(9,18),(10,18),(11,2),(11,18),(13,14),(14,12),(15,1),(15,14),(16,9),(16,10),(17,13),(17,15),(18,3),(18,17)],19)
([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([(0,7),(0,8),(1,16),(2,9),(3,14),(4,11),(5,13),(5,15),(6,12),(6,15),(7,10),(8,5),(8,6),(8,10),(9,11),(10,12),(10,13),(12,17),(13,17),(14,4),(14,9),(15,1),(15,17),(16,2),(16,14),(17,3),(17,16)],18)
([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)=>([(0,3),(0,4),(1,17),(2,15),(3,16),(4,5),(4,6),(4,16),(5,10),(5,14),(6,9),(6,14),(7,12),(7,13),(8,11),(8,13),(9,19),(10,19),(11,18),(12,18),(13,18),(14,2),(14,19),(15,7),(15,8),(15,17),(16,9),(16,10),(17,11),(17,12),(19,1),(19,15)],20)
([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([(0,5),(0,6),(1,15),(2,17),(3,4),(3,16),(4,12),(5,14),(6,3),(6,14),(7,10),(7,11),(8,9),(8,11),(9,18),(10,18),(11,18),(12,13),(13,7),(13,8),(13,17),(14,1),(14,16),(15,2),(15,13),(16,12),(16,15),(17,9),(17,10)],19)
([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8)=>([(0,5),(0,6),(1,11),(1,12),(2,15),(3,10),(4,9),(5,14),(6,14),(7,8),(7,15),(8,4),(8,16),(9,11),(9,13),(10,12),(10,13),(11,17),(12,17),(13,17),(14,2),(14,7),(15,3),(15,16),(16,1),(16,9),(16,10)],18)
([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,14),(2,13),(3,5),(3,17),(4,16),(5,15),(6,12),(7,2),(7,12),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(12,13),(13,3),(13,14),(14,4),(14,17),(15,9),(15,10),(16,9),(16,11),(17,8),(17,15),(17,16)],19)
([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8)=>([(0,6),(0,7),(1,17),(2,5),(2,16),(3,18),(4,14),(5,12),(6,13),(7,2),(7,13),(8,10),(8,11),(9,19),(10,19),(11,19),(12,3),(12,15),(13,4),(13,16),(14,1),(14,15),(15,8),(15,17),(15,18),(16,12),(16,14),(17,9),(17,10),(18,9),(18,11)],20)
([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)=>([(0,3),(0,9),(1,11),(3,10),(4,6),(4,12),(5,4),(5,14),(6,8),(6,13),(7,5),(7,16),(8,1),(8,15),(9,7),(9,10),(10,16),(11,2),(12,13),(13,15),(14,12),(15,11),(16,14)],17)
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)=>([(0,5),(0,6),(0,7),(1,16),(2,14),(4,12),(5,10),(5,17),(6,11),(6,17),(7,10),(7,11),(8,3),(9,2),(9,13),(10,19),(11,9),(11,19),(12,18),(13,14),(13,18),(14,15),(15,16),(16,8),(17,4),(17,19),(18,1),(18,15),(19,12),(19,13)],20)
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>([(0,9),(2,13),(3,12),(4,11),(5,11),(6,10),(7,6),(7,12),(8,3),(8,7),(9,4),(9,5),(10,13),(11,8),(12,2),(12,10),(13,1)],14)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>([(0,9),(1,11),(2,13),(4,12),(5,12),(6,10),(7,6),(7,13),(8,4),(8,5),(9,2),(9,7),(10,11),(11,8),(12,3),(13,1),(13,10)],14)
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(0,8),(1,15),(3,14),(4,13),(5,12),(6,7),(6,13),(7,5),(7,10),(8,9),(9,4),(9,6),(10,12),(10,14),(11,15),(12,11),(13,3),(13,10),(14,1),(14,11),(15,2)],16)
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(0,8),(2,14),(3,12),(4,10),(5,11),(6,3),(6,11),(7,4),(7,13),(8,9),(9,5),(9,6),(10,14),(11,7),(11,12),(12,13),(13,2),(13,10),(14,1)],15)
([(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)=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,9),(2,15),(3,14),(4,11),(5,13),(6,7),(6,14),(7,5),(7,10),(8,1),(9,3),(9,6),(10,13),(10,15),(11,8),(12,11),(13,12),(14,2),(14,10),(15,4),(15,12)],16)
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(0,9),(1,12),(2,13),(4,11),(5,10),(6,1),(6,11),(7,3),(8,5),(8,14),(9,4),(9,6),(10,13),(11,8),(11,12),(12,14),(13,7),(14,2),(14,10)],15)
([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9)=>([(0,9),(1,13),(1,17),(3,16),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,17),(11,13),(11,14),(12,16),(13,18),(14,18),(15,1),(15,10),(15,11),(16,2),(17,4),(17,18),(18,3),(18,12)],19)
([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>([(0,9),(2,14),(2,15),(3,13),(3,14),(4,17),(5,12),(6,11),(7,10),(8,7),(8,17),(9,4),(9,8),(10,13),(10,15),(11,16),(12,16),(13,18),(14,6),(14,18),(15,5),(15,18),(16,1),(17,2),(17,3),(17,10),(18,11),(18,12)],19)
([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)=>([(0,9),(2,17),(3,11),(3,15),(4,11),(4,14),(5,12),(6,13),(7,10),(8,7),(8,17),(9,2),(9,8),(10,14),(10,15),(11,18),(12,16),(13,16),(14,5),(14,18),(15,6),(15,18),(16,1),(17,3),(17,4),(17,10),(18,12),(18,13)],19)
([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9)=>([(0,8),(1,10),(2,11),(3,14),(4,12),(4,13),(5,6),(5,11),(6,3),(6,15),(7,1),(7,18),(8,9),(9,2),(9,5),(10,13),(10,17),(11,7),(11,15),(12,19),(13,19),(14,16),(15,14),(15,18),(16,12),(16,17),(17,19),(18,4),(18,10),(18,16)],20)
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,9),(1,10),(2,11),(3,7),(3,10),(4,6),(4,12),(5,4),(5,14),(6,8),(6,13),(7,5),(7,16),(8,2),(8,15),(9,1),(9,3),(10,16),(12,13),(13,15),(14,12),(15,11),(16,14)],17)
([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9)=>([(0,8),(0,9),(2,7),(2,19),(3,15),(4,16),(5,10),(6,12),(7,6),(7,17),(8,14),(9,2),(9,14),(10,1),(11,13),(12,11),(13,10),(14,3),(14,19),(15,4),(15,18),(16,5),(16,13),(17,12),(17,18),(18,11),(18,16),(19,15),(19,17)],20)
([(0,3),(0,4),(1,5),(1,8),(2,5),(2,8),(3,2),(3,6),(4,1),(4,6),(5,7),(6,8),(8,7)],9)=>([(0,9),(2,13),(2,14),(3,16),(4,12),(5,11),(6,10),(7,6),(7,15),(8,5),(8,15),(9,7),(9,8),(10,13),(10,17),(11,14),(11,17),(12,16),(13,18),(14,18),(15,2),(15,10),(15,11),(16,1),(17,4),(17,18),(18,3),(18,12)],19)
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(0,9),(1,13),(2,14),(4,12),(5,11),(6,1),(6,12),(7,3),(8,5),(8,15),(9,10),(10,4),(10,6),(11,14),(12,8),(12,13),(13,15),(14,7),(15,2),(15,11)],16)
([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(0,9),(2,13),(3,15),(4,12),(5,11),(6,10),(7,2),(7,11),(8,4),(8,14),(9,6),(10,5),(10,7),(11,8),(11,13),(12,15),(13,14),(14,3),(14,12),(15,1)],16)
([(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)=>([(0,10),(1,17),(3,16),(4,11),(5,14),(6,15),(7,6),(7,12),(8,5),(8,11),(9,7),(9,18),(10,4),(10,8),(11,9),(11,14),(12,15),(12,16),(13,17),(14,18),(15,13),(16,1),(16,13),(17,2),(18,3),(18,12)],19)
([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10)=>([(0,10),(1,14),(2,13),(4,12),(5,11),(6,3),(7,1),(7,11),(8,4),(8,15),(9,6),(10,5),(10,7),(11,8),(11,14),(12,13),(13,9),(14,15),(15,2),(15,12)],16)
([(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)=>([(0,10),(1,14),(3,13),(4,18),(5,17),(6,12),(7,8),(7,17),(8,3),(8,11),(9,6),(9,16),(10,5),(10,7),(11,13),(11,14),(12,18),(13,15),(14,9),(14,15),(15,16),(16,4),(16,12),(17,1),(17,11),(18,2)],19)
([(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)=>([(0,10),(1,16),(3,12),(4,11),(5,13),(6,14),(7,6),(7,12),(8,4),(8,17),(9,5),(9,15),(10,3),(10,7),(11,16),(12,9),(12,14),(13,17),(14,15),(15,8),(15,13),(16,2),(17,1),(17,11)],18)
([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)=>([(0,10),(2,14),(3,14),(4,11),(5,11),(6,13),(7,13),(8,12),(9,12),(10,2),(10,3),(11,1),(12,6),(12,7),(13,4),(13,5),(14,8),(14,9)],15)
([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,10),(1,11),(2,12),(3,8),(3,11),(4,5),(4,14),(5,7),(5,13),(6,4),(6,16),(7,9),(7,15),(8,6),(8,18),(9,2),(9,17),(10,1),(10,3),(11,18),(13,15),(14,13),(15,17),(16,14),(17,12),(18,16)],19)
([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)=>([(0,3),(0,10),(1,12),(3,11),(4,5),(4,14),(5,7),(5,13),(6,4),(6,16),(7,9),(7,15),(8,6),(8,18),(9,1),(9,17),(10,8),(10,11),(11,18),(12,2),(13,15),(14,13),(15,17),(16,14),(17,12),(18,16)],19)
([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(0,10),(1,15),(3,14),(4,13),(5,12),(6,11),(7,1),(7,12),(8,2),(9,4),(9,16),(10,6),(11,5),(11,7),(12,9),(12,15),(13,14),(14,8),(15,16),(16,3),(16,13)],17)
([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>([(0,10),(1,18),(3,17),(4,12),(5,15),(6,16),(7,6),(7,13),(8,5),(8,12),(9,7),(9,19),(10,11),(11,4),(11,8),(12,9),(12,15),(13,16),(13,17),(14,18),(15,19),(16,14),(17,1),(17,14),(18,2),(19,3),(19,13)],20)
([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(0,10),(1,15),(2,14),(4,13),(5,12),(6,3),(7,1),(7,12),(8,4),(8,16),(9,6),(10,11),(11,5),(11,7),(12,8),(12,15),(13,14),(14,9),(15,16),(16,2),(16,13)],17)
([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11)=>([(0,11),(1,12),(3,19),(4,15),(5,16),(6,14),(7,8),(7,19),(8,6),(8,13),(9,2),(10,1),(10,18),(11,3),(11,7),(12,16),(13,14),(13,15),(14,17),(15,10),(15,17),(16,9),(17,18),(18,5),(18,12),(19,4),(19,13)],20)
([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)=>([(0,12),(2,17),(3,17),(4,13),(5,13),(6,14),(7,14),(8,16),(9,16),(10,15),(11,15),(12,2),(12,3),(13,1),(14,8),(14,9),(15,6),(15,7),(16,4),(16,5),(17,10),(17,11)],18)
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Description
The lattice of order ideals of a poset.
An order ideal $\mathcal I$ in a poset $P$ is a downward closed set, i.e., $a \in \mathcal I$ and $b \leq a$ implies $b \in \mathcal I$. This map sends a poset to the lattice of all order ideals sorted by inclusion with meet being intersection and join being union.
An order ideal $\mathcal I$ in a poset $P$ is a downward closed set, i.e., $a \in \mathcal I$ and $b \leq a$ implies $b \in \mathcal I$. This map sends a poset to the lattice of all order ideals sorted by inclusion with meet being intersection and join being union.
Sage code
def mapping(P): anti_iter = P.antichains_iterator() try: for _ in range(21): _ = next(anti_iter) except StopIteration: return P.order_ideals_lattice() else: raise ValueError("Poset has too many antichains for this map")
Weight
26
Created
Sep 29, 2020 at 07:44 by Martin Rubey
Updated
Mar 25, 2022 at 15:03 by Tilman Möller
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