Images
=>
Cc0029;cc-rep-0Cc0029;cc-rep-1
([],1)=>([],1)
([(0,1)],2)=>([(0,1)],2)
([(0,2),(2,1)],3)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(2,1),(3,2)],4)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>([(0,1)],2)
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>([(0,2),(2,1)],3)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([(0,1)],2)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,1)],2)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)=>([(0,1)],2)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)=>([(0,2),(2,1)],3)
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,4),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,4),(7,3)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)=>([(0,2),(2,1)],3)
([(0,5),(1,7),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,6),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],8)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8)=>([(0,1)],2)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(5,4),(5,7),(7,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(5,1),(5,4),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,4),(0,5),(1,7),(2,7),(4,7),(5,6),(6,1),(6,2),(7,3)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,7),(2,7),(3,4),(4,1),(5,2),(6,3),(6,5)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8)=>([(0,1)],2)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,3),(7,2)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8)=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(1,7),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4),(6,7)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4),(7,3)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,5),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(6,7),(7,1)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,1)],2)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(1,7),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8)=>([(0,1)],2)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(0,5),(1,7),(3,6),(4,3),(5,1),(5,6),(6,7),(7,2)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(2,7),(3,7),(4,1),(5,3),(6,2),(7,4)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,5),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,7),(2,7),(3,2),(4,1),(5,6),(6,3),(6,4)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1),(5,7),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3)],9)=>([(0,1)],2)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4)],9)=>([(0,1)],2)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5)],9)=>([(0,2),(2,1)],3)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(7,1),(7,2),(7,3),(7,4),(7,5),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3),(7,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(7,5),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(6,5),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,6),(1,8),(2,8),(3,8),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(8,5)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(5,3),(5,4),(6,7),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8),(8,3)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,5)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2),(7,6)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(7,1),(7,2),(7,6)],9)=>([(0,2),(2,1)],3)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(5,3),(5,4),(6,7),(8,1)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(6,5),(8,4)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8),(8,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,5),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,4),(6,7),(8,1),(8,6)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4),(7,5)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1),(7,5),(7,6)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(7,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(7,1),(7,6)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(6,3),(7,1),(7,6)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,7),(7,1),(7,2),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3)],9)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4),(7,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(7,6)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3),(7,4)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(6,2),(7,5),(7,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,4)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(6,7),(7,1),(7,2),(7,3)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,3)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(6,1),(6,2),(7,5),(7,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(7,8)],9)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3)],9)=>([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,7),(8,1)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,7),(8,1),(8,2)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,7),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(6,8),(8,7)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(8,6)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(6,8),(8,7)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,8),(8,2)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(6,8),(7,2),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,1),(5,6),(6,7),(8,6)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(6,8),(8,7)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,8),(7,1),(7,2),(8,3)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(8,6)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,2),(0,3),(0,4),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,7),(6,1),(7,6),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(7,2),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(5,8),(6,5),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,7),(1,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,2)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,4),(0,6),(1,8),(2,8),(4,8),(5,7),(6,5),(7,1),(7,2),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(0,7),(1,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,2)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(8,7)],9)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,7),(5,8),(7,6),(8,6)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,7),(7,2),(8,1)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,8),(7,3),(8,1),(8,2)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(8,1)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(7,4),(8,1)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,6),(5,7),(6,8),(7,1)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,1),(7,2)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,7),(5,8),(7,2),(8,1)],9)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,8),(4,5),(4,8),(5,7),(7,6),(8,1),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(6,8),(7,5)],9)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,5),(4,6),(5,8),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,6),(5,7),(6,8),(7,2),(8,1)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(6,7),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,6)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,7),(7,8),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,2),(6,8),(8,1)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,1),(5,8),(6,7),(8,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(6,5),(6,8),(8,2)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(6,4),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(7,5),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(6,5),(6,8),(7,2),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,6)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,7),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(5,8),(7,8),(8,1)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,8),(7,1),(7,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(6,8),(8,1)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,6)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(6,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(6,5),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,4),(6,5),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(7,5),(7,6),(8,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(7,6),(8,4)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(7,6),(8,5)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,8),(7,1),(7,2),(7,3),(8,4)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(8,3)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(5,8),(6,8),(8,7)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,6),(5,2),(5,7),(6,7),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(6,5),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,6),(2,8),(3,7),(4,7),(5,3),(6,2),(6,5),(7,8),(8,1)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(5,8),(6,4),(6,5),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(5,2),(6,4),(6,5),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,6),(1,8),(2,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8),(8,3)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(5,3),(6,4),(6,5),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(4,7),(5,1),(5,4),(6,8),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,6),(1,8),(2,8),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8),(8,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,8),(3,7),(4,8),(5,1),(5,7),(6,3),(6,5),(7,8),(8,2)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,7),(4,7),(5,2),(5,8),(6,1),(6,5),(7,3),(8,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,8),(6,1),(6,2),(7,3),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,6),(6,1),(6,2),(6,4),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,5),(8,7)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(7,6),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,2),(6,3),(7,1),(7,6),(8,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,8),(4,8),(6,4),(6,7),(7,1),(7,2),(7,3),(8,5)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(7,8),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,8),(3,8),(4,8),(5,1),(5,2),(6,7),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,2),(7,4),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,5),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(6,3),(6,5),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,4),(0,7),(1,8),(2,8),(4,8),(5,2),(6,1),(7,5),(7,6),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(6,2),(7,5),(7,6),(8,4)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(8,2)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(7,6)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(7,8),(8,5)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,5),(8,1)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,7),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(5,8),(6,5),(8,2)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,1),(5,4),(5,8),(6,5),(8,7)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(5,8),(6,5),(7,2),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(4,8),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,8),(6,7),(7,1),(7,2),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,8),(6,7),(7,1),(7,2),(7,3),(8,4)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,8),(4,8),(6,7),(7,1),(7,2),(7,3),(7,4),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,7),(4,5),(5,1),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,7),(2,8),(3,8),(4,2),(5,4),(6,1),(7,5),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,3),(0,5),(1,7),(2,7),(3,8),(4,6),(5,4),(6,1),(6,2),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,7),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(8,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,2),(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,3),(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,5),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(5,8),(6,4),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,7),(5,8),(7,1),(8,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(7,1),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,6),(6,7),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,5),(2,7),(3,8),(4,8),(5,7),(6,1),(7,6),(8,2)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(8,1)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,4),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8),(8,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,8),(8,5)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,8),(6,7),(8,6)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(5,1),(5,8),(6,7),(8,7)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,8),(7,3),(8,2)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(4,8),(5,1),(6,7),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,8),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,5),(7,8)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,8),(6,8),(8,7)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(7,4),(8,2)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8),(8,2)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,1),(5,8),(6,7),(8,2)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(8,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(7,2),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(7,6),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(0,6),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,7),(6,8),(7,2),(7,6),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(2,8),(3,8),(4,6),(5,1),(6,7),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(7,2),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(0,6),(2,7),(3,8),(4,8),(5,7),(6,2),(7,8),(8,1)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(7,1)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(1,8),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,5),(1,8),(2,8),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,8),(5,4),(5,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,3)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9)=>([(0,1)],2)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(6,4),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,4),(2,3),(3,1),(4,2)],5)
([(0,3),(0,6),(2,8),(3,7),(4,2),(5,1),(6,4),(6,7),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,4),(6,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(5,4),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,8),(5,3),(5,6),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,4),(5,6),(6,7),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,3),(5,7),(7,8),(8,2)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,3),(6,7),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,2),(5,3),(5,8),(6,7),(8,1)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(8,1)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,4),(6,5),(6,7),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6),(6,8),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(1,5),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(5,8),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(5,7),(6,8),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8),(8,4)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,7),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(6,5),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(7,6),(8,5)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,8),(7,1),(7,2),(7,3),(7,4),(8,5)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(7,1),(7,2),(7,5)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(7,5)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,4)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(6,5),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(8,4)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5),(8,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(8,6)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,5),(0,6),(1,8),(2,8),(3,7),(5,8),(6,1),(6,2),(6,3),(7,4),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(6,5),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,6),(5,1),(5,2),(5,3),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,3),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5),(7,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(6,5),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(1,6),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(6,8),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8),(8,3)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,8),(3,6),(3,8),(4,6),(5,1),(5,2),(5,3),(6,7),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(7,8),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,8),(4,8),(5,1),(5,2),(5,3),(6,7),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,7),(2,7),(3,8),(5,8),(6,1),(6,2),(6,3),(7,5),(8,4)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(6,3),(6,4),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,5),(7,1),(7,2),(7,6)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(5,4),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(5,1),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8),(8,3)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,8),(2,8),(3,8),(5,6),(6,3),(7,1),(7,2),(7,5),(8,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(6,5),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(6,5),(7,4),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5),(7,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(8,5)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(7,4),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(1,7),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,5)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,4)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,4),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(7,1),(7,2),(7,3)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(7,1),(7,5)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(6,3),(7,1),(7,5)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,4),(6,5),(7,1),(7,2),(7,3)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,7),(1,8),(2,8),(3,8),(4,1),(5,6),(6,2),(7,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(5,7),(6,2),(6,5),(7,8)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,8),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,5),(1,6),(2,8),(3,7),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,6),(1,8),(2,7),(3,7),(4,5),(4,8),(5,3),(6,1),(6,4),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9)=>([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(5,8),(6,1),(6,4),(8,2)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,6),(6,1),(6,2),(7,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,2),(5,7),(6,3),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(1,8),(2,8),(3,4),(4,1),(4,7),(5,2),(5,7),(6,3),(6,5),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,4),(2,3),(3,1),(4,2)],5)
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,8),(6,4),(6,5),(8,2)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(6,2),(7,4),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(8,3)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(6,5),(7,1),(7,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,3)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,7),(7,1),(7,2),(7,5)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(6,4),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,5),(1,6),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(0,5),(1,6),(2,8),(3,7),(4,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(0,6),(1,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8),(8,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(6,8),(8,3)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,1),(6,4),(7,8)],9)=>([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10)
([(0,7),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,3),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,4),(6,2),(6,5),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(7,8),(8,1)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(8,3)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,4),(7,1),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,8),(2,8),(3,8),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,1),(4,2),(4,7),(5,4),(6,3),(6,7),(7,8)],9)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,3),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,3),(6,2),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,5),(8,3)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(5,7),(6,2),(6,5),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,8),(6,1),(6,5),(8,3)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,5),(1,6),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,5),(8,2)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,8),(4,7),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,6),(3,6),(3,8),(4,8),(5,2),(5,3),(6,7),(8,1)],9)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3),(6,8),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,7),(2,8),(3,6),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1)],9)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(6,4),(7,2),(7,6),(8,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,7),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5),(8,6)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,2),(7,3),(7,4),(8,5)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,4),(1,8),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,4),(6,1),(6,2),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(7,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(1,6),(2,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,6),(1,8),(2,8),(3,2),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(1,7),(2,8),(3,1),(3,6),(4,2),(4,6),(5,3),(5,4),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,3),(6,4),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(1,8),(2,6),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(6,8),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4),(6,8),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(6,8),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,6),(1,7),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,5),(1,6),(2,7),(3,8),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(7,8)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(8,4)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,3),(6,5),(8,2)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,5),(7,8)],9)=>([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10)
([(0,7),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,6),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,3),(4,7),(5,1),(5,7),(7,8),(8,2)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,3)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,3),(5,7),(6,8),(7,1),(7,6)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,3),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,8),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7),(7,8)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(8,4)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,7),(7,3),(7,8),(8,6)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(0,6),(1,8),(2,8),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,5),(1,8),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(7,1),(7,2)],9)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,1),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8),(8,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,3),(5,6),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,4)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,3),(5,8),(6,1),(6,2),(6,4),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(1,7),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,4)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(8,4)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(8,7)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(7,4),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,4),(6,3),(6,5),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(7,8),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,6),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,2),(6,3),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,3),(6,4),(7,8),(8,2)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5)],9)=>([(0,2),(2,1)],3)
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,7),(6,2),(6,4),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,2),(6,3),(6,4),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(8,5)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,5),(7,1),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,2),(6,5),(7,1),(7,4)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,1),(7,4),(7,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,2),(6,5),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(2,8),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,6),(1,8),(2,7),(3,2),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,2),(6,3),(7,1),(7,6)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,3)],9)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2)],9)=>([(0,2),(2,1)],3)
([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,4),(6,1),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,3),(6,8),(8,2)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(0,5),(1,8),(2,7),(3,8),(4,1),(4,7),(5,6),(6,2),(6,4),(7,8)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,5),(1,8),(2,7),(3,7),(4,3),(4,8),(5,6),(6,1),(6,4),(8,2)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(5,3),(6,4),(6,7),(7,8)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,5),(0,6),(1,8),(3,7),(4,3),(5,4),(6,1),(6,7),(7,8),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,5),(1,8),(2,7),(3,1),(4,3),(4,7),(5,6),(6,2),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3),(7,4)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,1),(6,2),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(6,7),(7,1),(7,5)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,1),(5,4),(5,7),(6,5),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,4),(6,8),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,4),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(4,8),(5,2),(6,4),(8,1)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,4),(6,1),(6,2),(7,8)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,6),(4,1),(4,8),(5,3),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2),(7,5)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,3)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,7),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,7),(5,6),(6,1),(6,2),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,4),(8,3)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,3),(8,2)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(8,7)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(7,4),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(8,5)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,2),(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3),(8,4)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,1),(6,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,2),(6,7),(7,1),(7,4)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(4,7),(5,2),(6,4),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(4,8),(5,1),(6,4),(8,3)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,6),(1,8),(2,8),(3,8),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,2),(3,7),(4,1),(4,7),(5,3),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,3),(0,5),(0,6),(1,7),(2,7),(3,8),(4,1),(5,2),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,5),(1,7),(2,7),(3,8),(4,2),(5,6),(6,1),(6,4),(7,8)],9)=>([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(0,6),(2,8),(3,8),(4,3),(5,1),(6,7),(7,2),(7,4),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,6),(0,7),(2,8),(3,8),(4,2),(5,1),(6,4),(7,3),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,7),(5,1),(6,5),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,5),(8,2)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(8,2),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1)],9)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(5,4),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(4,6),(5,8),(6,7),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,6),(5,7),(6,8),(7,1)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,8),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,2),(5,8),(6,7),(8,1)],9)=>([(0,4),(2,3),(3,1),(4,2)],5)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,7),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,2),(5,8),(6,7),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,7),(6,8),(7,8),(8,1)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,6),(6,7),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(7,5),(8,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(6,4),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4),(7,8)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(1,7),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,8),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,7),(5,4),(5,6),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,2)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(0,5),(1,7),(2,8),(3,6),(4,1),(4,8),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(1,5),(1,7),(2,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,1),(6,2),(6,8),(7,3),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(4,7),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,8),(2,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,6),(1,7),(3,7),(4,8),(5,1),(6,5),(6,8),(7,2),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,6),(1,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,5)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,2),(5,7),(7,8),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,2),(5,7),(6,8),(7,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,1),(0,2),(0,3),(0,4),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,1)],9)=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,2),(5,6),(6,8),(7,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,8),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(5,4),(5,7),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,3),(0,4),(0,5),(1,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,1),(4,8),(5,2),(5,8),(6,7),(8,6)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,3),(5,7),(6,2),(6,7),(7,8),(8,1)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,3),(5,8),(6,2),(6,8),(8,1)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,6)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,6),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4),(6,8),(7,8)],9)=>([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(6,7),(8,7)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4),(6,8),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,7),(3,5),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,2),(5,4),(6,1),(6,5),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(8,7)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(6,7),(8,1)],9)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(4,8),(5,2),(6,7),(8,1)],9)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8),(8,1)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(8,3)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,3),(0,6),(2,8),(3,7),(4,5),(5,2),(6,4),(6,7),(7,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,8),(3,8),(4,7),(5,3),(6,1),(6,7),(7,5),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,7),(7,8),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,4),(6,1),(6,8),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,4),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,4),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,4),(1,6),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,4),(1,7),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,8),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(6,2),(6,8),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(0,5),(1,8),(2,7),(3,8),(4,2),(4,8),(5,6),(6,1),(6,4),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,3),(5,8),(6,1),(6,2),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,5),(1,8),(2,8),(3,7),(4,3),(4,8),(5,6),(6,1),(6,2),(6,4),(8,7)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7),(7,8)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,3),(5,8),(6,7),(8,2)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,8),(7,8)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,4),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8),(8,3)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,2),(5,1),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,4),(1,8),(2,8),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,4),(6,5),(7,1),(7,6)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,5),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,7),(1,8),(2,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,4)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,7),(3,2),(4,1),(5,4),(5,7),(6,3),(6,5),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,6),(1,8),(3,7),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8),(8,2)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,7),(4,6),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(5,4),(6,8),(7,8)],9)=>([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
([(0,4),(0,6),(1,7),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(8,5)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(4,8),(5,1),(5,2),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(1,8),(2,7),(3,7),(4,6),(5,1),(5,3),(6,2),(6,5),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(0,6),(1,8),(2,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8),(8,3)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
([(0,7),(1,8),(2,8),(4,6),(5,2),(6,5),(7,1),(7,4),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(7,2),(7,5),(8,4)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(6,5),(7,1),(7,6),(8,4)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,7),(1,8),(2,8),(4,8),(5,6),(6,2),(7,1),(7,5),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,7),(1,8),(2,8),(3,8),(5,6),(6,2),(6,3),(7,1),(7,5),(8,4)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,8)],9)=>([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)
([(0,7),(2,8),(3,8),(4,1),(5,3),(6,4),(7,2),(7,5),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,3),(6,2),(6,5),(7,8),(8,1)],9)=>([(0,1),(0,2),(1,13),(2,3),(2,4),(2,13),(3,8),(3,12),(4,7),(4,12),(5,10),(5,11),(6,9),(6,11),(7,15),(8,15),(9,14),(10,14),(11,14),(12,5),(12,6),(12,15),(13,7),(13,8),(15,9),(15,10)],16)
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,4),(6,2),(6,5),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,6),(2,8),(3,7),(4,7),(5,2),(5,4),(6,3),(6,5),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
([(0,4),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8),(8,3)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(8,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(7,3),(8,7)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,5),(7,1),(7,2),(8,4)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(1,8),(2,8),(3,8),(5,7),(6,2),(6,3),(7,1),(7,6),(8,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(8,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,5),(7,8),(8,1)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(5,3),(6,2),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,5),(5,2),(5,8),(6,1),(6,4),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,2),(5,4),(5,8),(6,1),(6,5),(8,7)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,4),(0,6),(1,8),(2,7),(4,8),(5,2),(5,8),(6,1),(6,5),(7,3),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,8),(3,8),(4,6),(5,1),(5,2),(6,7),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(1,7),(2,8),(4,7),(5,8),(6,1),(6,2),(7,3),(8,4)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,8),(5,7),(6,1),(6,3),(7,8),(8,2)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,4)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,8)],9)=>([(0,1)],2)
([(0,5),(0,6),(1,8),(2,8),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,5),(1,7),(2,8),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,1),(4,7),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(4,8),(5,1),(5,8),(6,7),(8,2)],9)=>([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,1),(4,6),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,2),(2,1)],3)
([(0,4),(0,5),(2,7),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(7,8),(8,1)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,5),(0,6),(1,8),(2,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8),(8,3)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,5),(0,6),(1,8),(2,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,4),(8,3)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,8),(8,3)],9)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,2),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(3,7),(4,2),(4,6),(5,1),(5,7),(6,8),(7,8)],9)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,8),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,8),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,7),(4,1),(4,7),(5,8),(6,8),(7,8)],9)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,5),(0,6),(1,8),(2,8),(3,4),(4,2),(4,7),(5,3),(6,1),(6,7),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
([(0,5),(1,8),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,2),(5,7),(6,1),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(5,8),(6,8),(7,8)],9)=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,5),(0,6),(1,7),(2,7),(3,8),(4,2),(5,3),(6,1),(6,8),(8,4)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,7),(3,4),(4,1),(4,7),(5,3),(6,2),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(6,8),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,3),(5,4),(6,1),(6,7),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,5),(1,8),(2,7),(3,2),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,2),(5,1),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,5),(0,6),(1,8),(2,7),(3,4),(4,1),(5,2),(6,3),(6,7),(7,8)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,5),(0,6),(1,8),(3,7),(4,1),(5,3),(6,4),(6,7),(7,8),(8,2)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,5),(0,6),(1,8),(2,7),(4,8),(5,2),(6,1),(6,7),(7,4),(8,3)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,8),(5,3),(6,1),(6,7),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,4),(7,1),(7,2)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,2),(7,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,5),(1,8),(2,8),(3,8),(4,3),(5,7),(6,1),(6,2),(7,4),(7,6)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(0,6),(1,8),(2,8),(3,1),(4,3),(4,7),(5,4),(6,2),(6,7),(7,8)],9)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,4),(0,5),(1,7),(2,8),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9)=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,7),(1,8),(2,8),(4,1),(5,6),(6,2),(7,4),(7,5),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5),(7,8)],9)=>([(0,1),(0,2),(1,13),(2,3),(2,4),(2,13),(3,8),(3,12),(4,7),(4,12),(5,10),(5,11),(6,9),(6,11),(7,15),(8,15),(9,14),(10,14),(11,14),(12,5),(12,6),(12,15),(13,7),(13,8),(15,9),(15,10)],16)
([(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,3),(6,1),(6,2),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(1,6),(2,7),(3,6),(4,1),(5,2),(5,8),(6,8),(8,7)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,2),(6,4),(7,1)],9)=>([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(5,1),(6,7),(7,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,4),(7,1),(7,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,4),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(5,8),(6,4),(8,1)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(5,4),(6,1),(6,2),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
([(0,2),(0,7),(1,8),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,15),(3,16),(3,17),(3,18),(4,12),(4,13),(4,14),(4,18),(5,10),(5,11),(5,14),(5,17),(6,9),(6,11),(6,13),(6,16),(7,9),(7,10),(7,12),(7,15),(9,19),(9,22),(9,25),(10,19),(10,20),(10,23),(11,19),(11,21),(11,24),(12,20),(12,22),(12,26),(13,21),(13,22),(13,27),(14,20),(14,21),(14,28),(15,23),(15,25),(15,26),(16,24),(16,25),(16,27),(17,23),(17,24),(17,28),(18,26),(18,27),(18,28),(19,32),(19,33),(20,29),(20,33),(21,30),(21,33),(22,31),(22,33),(23,29),(23,32),(24,30),(24,32),(25,31),(25,32),(26,29),(26,31),(27,30),(27,31),(28,29),(28,30),(29,34),(30,34),(31,34),(32,34),(33,34),(34,1),(34,2)],35)
([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,6),(0,7),(1,8),(2,8),(3,4),(4,1),(5,2),(6,5),(7,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,15),(3,16),(3,17),(3,18),(4,12),(4,13),(4,14),(4,18),(5,10),(5,11),(5,14),(5,17),(6,9),(6,11),(6,13),(6,16),(7,9),(7,10),(7,12),(7,15),(9,19),(9,22),(9,25),(10,19),(10,20),(10,23),(11,19),(11,21),(11,24),(12,20),(12,22),(12,26),(13,21),(13,22),(13,27),(14,20),(14,21),(14,28),(15,23),(15,25),(15,26),(16,24),(16,25),(16,27),(17,23),(17,24),(17,28),(18,26),(18,27),(18,28),(19,32),(19,33),(20,29),(20,33),(21,30),(21,33),(22,31),(22,33),(23,29),(23,32),(24,30),(24,32),(25,31),(25,32),(26,29),(26,31),(27,30),(27,31),(28,29),(28,30),(29,34),(30,34),(31,34),(32,34),(33,34),(34,1),(34,2)],35)
([(0,5),(0,6),(1,8),(2,7),(3,1),(4,3),(4,7),(5,4),(6,2),(7,8)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,5),(0,6),(1,8),(3,7),(4,1),(4,7),(5,3),(6,4),(7,8),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(6,3),(7,2),(7,4)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,6),(1,8),(2,8),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(4,7),(5,3),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,5),(1,8),(2,7),(3,4),(4,1),(4,7),(5,6),(6,2),(6,3),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(3,7),(4,6),(5,1),(6,8),(7,8)],9)=>([(0,2),(2,1)],3)
([(0,3),(0,4),(0,5),(1,7),(2,6),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1)],9)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
([(0,3),(0,4),(0,5),(2,6),(2,7),(3,7),(4,6),(5,2),(6,8),(7,8),(8,1)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(6,1),(8,5)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(8,2),(8,5)],9)=>([(0,1),(0,2),(1,5),(1,6),(1,17),(2,3),(2,4),(2,17),(3,11),(3,14),(4,11),(4,13),(5,12),(5,16),(6,12),(6,15),(7,20),(7,22),(8,21),(8,22),(9,20),(9,23),(10,21),(10,23),(11,18),(12,19),(13,7),(13,8),(13,18),(14,9),(14,10),(14,18),(15,7),(15,9),(15,19),(16,8),(16,10),(16,19),(17,13),(17,14),(17,15),(17,16),(18,20),(18,21),(19,22),(19,23),(20,24),(21,24),(22,24),(23,24)],25)
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(6,7),(8,1),(8,6)],9)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(8,7)],9)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
([(0,4),(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(7,2),(8,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,3),(5,4),(6,2),(7,1)],9)=>([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,3),(6,7),(7,2),(7,4)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,6),(1,8),(2,8),(3,8),(4,3),(5,2),(6,7),(7,1),(7,4),(7,5)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(6,1),(6,4),(6,7),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,3),(0,4),(1,7),(2,8),(3,6),(4,5),(5,1),(5,2),(5,6),(6,8),(8,7)],9)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(4,7),(5,2),(6,4),(7,8)],9)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,4),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(4,8),(5,1),(6,4),(8,5)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(6,8),(8,7)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,7),(4,1),(4,7),(5,4),(6,8),(7,8)],9)=>([(0,3),(2,1),(3,2)],4)
([(0,4),(0,6),(1,7),(3,7),(4,8),(5,1),(5,8),(6,5),(7,2),(8,3)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,3),(0,4),(0,6),(1,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8),(8,2)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
([(0,6),(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,4),(7,1)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,15),(3,16),(3,17),(3,18),(4,12),(4,13),(4,14),(4,18),(5,10),(5,11),(5,14),(5,17),(6,9),(6,11),(6,13),(6,16),(7,9),(7,10),(7,12),(7,15),(9,19),(9,22),(9,25),(10,19),(10,20),(10,23),(11,19),(11,21),(11,24),(12,20),(12,22),(12,26),(13,21),(13,22),(13,27),(14,20),(14,21),(14,28),(15,23),(15,25),(15,26),(16,24),(16,25),(16,27),(17,23),(17,24),(17,28),(18,26),(18,27),(18,28),(19,32),(19,33),(20,29),(20,33),(21,30),(21,33),(22,31),(22,33),(23,29),(23,32),(24,30),(24,32),(25,31),(25,32),(26,29),(26,31),(27,30),(27,31),(28,29),(28,30),(29,34),(30,34),(31,34),(32,34),(33,34),(34,1),(34,2)],35)
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,3),(7,4),(7,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,3),(7,8)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,4),(7,8),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,10),(1,11),(2,7),(2,8),(2,9),(3,15),(3,16),(3,17),(4,13),(4,14),(4,17),(5,12),(5,14),(5,16),(6,12),(6,13),(6,15),(7,18),(7,19),(8,18),(8,22),(9,19),(9,22),(10,18),(10,23),(11,19),(11,23),(12,1),(12,2),(12,24),(12,25),(13,20),(13,24),(14,21),(14,24),(15,20),(15,25),(16,21),(16,25),(17,20),(17,21),(18,27),(19,27),(20,26),(21,26),(22,27),(23,27),(24,8),(24,10),(24,26),(25,9),(25,11),(25,26),(26,22),(26,23)],28)
([(0,6),(1,8),(2,8),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,6),(1,8),(2,8),(3,4),(4,1),(5,2),(6,7),(7,3),(7,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,16),(3,17),(3,18),(3,19),(4,13),(4,14),(4,15),(4,19),(5,15),(5,18),(5,21),(5,22),(6,14),(6,17),(6,20),(6,22),(7,13),(7,16),(7,20),(7,21),(8,24),(8,32),(9,25),(9,32),(10,24),(10,33),(11,25),(11,33),(12,24),(12,25),(13,26),(13,27),(13,34),(14,26),(14,28),(14,35),(15,27),(15,28),(15,36),(16,29),(16,30),(16,34),(17,29),(17,31),(17,35),(18,30),(18,31),(18,36),(19,34),(19,35),(19,36),(20,23),(20,26),(20,29),(21,23),(21,27),(21,30),(22,23),(22,28),(22,31),(23,1),(23,2),(23,41),(23,42),(24,37),(25,37),(26,40),(26,41),(27,38),(27,41),(28,39),(28,41),(29,40),(29,42),(30,38),(30,42),(31,39),(31,42),(32,37),(33,37),(34,38),(34,40),(35,39),(35,40),(36,38),(36,39),(38,43),(39,43),(40,43),(41,8),(41,10),(41,43),(42,9),(42,11),(42,43),(43,32),(43,33)],44)
([(0,2),(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,5),(7,8)],9)=>([(0,4),(0,5),(0,6),(1,15),(2,9),(2,10),(3,7),(3,8),(4,12),(4,14),(5,12),(5,13),(6,3),(6,13),(6,14),(7,18),(8,18),(9,16),(10,16),(11,16),(12,1),(12,17),(13,7),(13,17),(14,8),(14,17),(15,10),(15,11),(17,2),(17,15),(17,18),(18,9),(18,11)],19)
([(0,3),(0,6),(2,8),(3,7),(4,2),(5,4),(5,7),(6,5),(7,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(1,10),(1,16),(2,9),(2,15),(3,2),(3,13),(3,17),(4,1),(4,14),(4,17),(5,13),(5,14),(6,7),(6,11),(6,12),(7,21),(7,22),(8,20),(8,23),(9,18),(10,19),(11,20),(11,21),(12,20),(12,22),(13,9),(13,24),(14,10),(14,24),(15,8),(15,11),(15,18),(16,8),(16,12),(16,19),(17,6),(17,15),(17,16),(17,24),(18,21),(18,23),(19,22),(19,23),(20,25),(21,25),(22,25),(23,25),(24,7),(24,18),(24,19)],26)
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,3),(0,5),(1,8),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,5),(1,8),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(4,8),(5,1),(6,4),(8,7)],9)=>([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,1),(5,2),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,3),(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,7),(5,1),(6,2),(7,8),(8,5)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,4),(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,4),(0,6),(0,7),(1,8),(2,8),(4,8),(5,1),(6,2),(7,5),(8,3)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,4),(0,6),(1,8),(2,8),(4,8),(5,2),(6,7),(7,1),(7,5),(8,3)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,3),(6,7),(7,1),(7,2),(8,4)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,6),(1,8),(2,8),(3,8),(5,3),(6,7),(7,1),(7,2),(7,5),(8,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,6),(0,7),(1,8),(2,8),(4,5),(5,2),(6,4),(7,1),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,8),(4,7),(5,2),(6,4),(7,1),(7,5),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,23),(1,24),(1,25),(1,26),(2,18),(2,19),(2,20),(2,21),(2,22),(3,11),(3,12),(3,13),(3,17),(4,9),(4,10),(4,13),(4,16),(5,8),(5,10),(5,12),(5,15),(6,8),(6,9),(6,11),(6,14),(7,1),(7,2),(7,14),(7,15),(7,16),(7,17),(8,43),(8,46),(8,49),(9,43),(9,44),(9,47),(10,43),(10,45),(10,48),(11,44),(11,46),(11,50),(12,45),(12,46),(12,51),(13,44),(13,45),(13,52),(14,19),(14,23),(14,47),(14,49),(14,50),(15,20),(15,24),(15,48),(15,49),(15,51),(16,21),(16,25),(16,47),(16,48),(16,52),(17,22),(17,26),(17,50),(17,51),(17,52),(18,39),(18,40),(18,41),(18,42),(19,27),(19,29),(19,30),(19,39),(20,28),(20,29),(20,31),(20,40),(21,27),(21,28),(21,32),(21,41),(22,30),(22,31),(22,32),(22,42),(23,33),(23,35),(23,36),(23,39),(24,34),(24,35),(24,37),(24,40),(25,33),(25,34),(25,38),(25,41),(26,36),(26,37),(26,38),(26,42),(27,58),(27,64),(27,67),(28,59),(28,65),(28,67),(29,60),(29,66),(29,67),(30,61),(30,64),(30,66),(31,62),(31,65),(31,66),(32,63),(32,64),(32,65),(33,58),(33,68),(33,71),(34,59),(34,69),(34,71),(35,60),(35,70),(35,71),(36,61),(36,68),(36,70),(37,62),(37,69),(37,70),(38,63),(38,68),(38,69),(39,58),(39,60),(39,61),(40,59),(40,60),(40,62),(41,58),(41,59),(41,63),(42,61),(42,62),(42,63),(43,53),(43,57),(44,53),(44,54),(45,53),(45,55),(46,53),(46,56),(47,27),(47,33),(47,54),(47,57),(48,28),(48,34),(48,55),(48,57),(49,29),(49,35),(49,56),(49,57),(50,30),(50,36),(50,54),(50,56),(51,31),(51,37),(51,55),(51,56),(52,32),(52,38),(52,54),(52,55),(53,78),(54,64),(54,68),(54,78),(55,65),(55,69),(55,78),(56,66),(56,70),(56,78),(57,67),(57,71),(57,78),(58,74),(58,77),(59,75),(59,77),(60,76),(60,77),(61,74),(61,76),(62,75),(62,76),(63,74),(63,75),(64,72),(64,74),(65,72),(65,75),(66,72),(66,76),(67,72),(67,77),(68,73),(68,74),(69,73),(69,75),(70,73),(70,76),(71,73),(71,77),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,72),(78,73)],80)
([(0,6),(1,8),(2,8),(4,2),(5,1),(6,7),(7,4),(7,5),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(8,4)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)
([(0,6),(0,7),(2,8),(3,8),(4,1),(5,4),(6,3),(7,2),(8,5)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,3),(6,2),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(7,8)],9)=>([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
([(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(6,4),(7,8)],9)=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
([(0,5),(2,8),(3,7),(4,7),(5,6),(6,2),(6,3),(6,4),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(2,10),(2,11),(2,14),(3,9),(3,11),(3,13),(4,9),(4,10),(4,12),(5,1),(5,12),(5,13),(5,14),(6,19),(6,21),(7,20),(7,21),(8,19),(8,20),(9,15),(9,18),(10,15),(10,16),(11,15),(11,17),(12,6),(12,16),(12,18),(13,7),(13,17),(13,18),(14,8),(14,16),(14,17),(15,23),(16,19),(16,23),(17,20),(17,23),(18,21),(18,23),(19,22),(20,22),(21,22),(23,22)],24)
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(5,7),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
([(0,4),(0,5),(1,8),(2,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8),(8,3)],9)=>([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,4),(0,5),(2,7),(3,7),(4,8),(5,6),(6,2),(6,3),(7,8),(8,1)],9)=>([(0,3),(0,4),(0,5),(0,6),(1,7),(1,9),(2,7),(2,8),(3,10),(3,11),(3,12),(4,12),(4,14),(4,15),(5,11),(5,13),(5,15),(6,10),(6,13),(6,14),(7,16),(8,16),(9,16),(10,17),(10,18),(11,17),(11,19),(12,18),(12,19),(13,17),(13,20),(14,18),(14,20),(15,19),(15,20),(17,21),(18,21),(19,21),(20,1),(20,2),(20,21),(21,8),(21,9)],22)
([(0,3),(0,5),(1,8),(2,7),(3,7),(4,1),(5,6),(6,2),(6,4),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,4),(0,5),(2,8),(3,7),(4,7),(5,6),(6,2),(6,3),(7,8),(8,1)],9)=>([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)
([(0,3),(0,7),(2,8),(3,8),(4,2),(5,1),(6,5),(7,4),(8,6)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,7),(5,2),(6,5),(7,8),(8,1)],9)=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
([(0,3),(0,7),(1,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,2)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,6),(0,7),(1,8),(2,8),(4,2),(5,1),(6,4),(7,5),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,10),(2,8),(2,9),(3,14),(3,18),(3,19),(3,20),(4,13),(4,16),(4,17),(4,20),(5,12),(5,15),(5,17),(5,19),(6,11),(6,15),(6,16),(6,18),(7,11),(7,12),(7,13),(7,14),(8,21),(9,21),(10,21),(11,22),(11,23),(11,25),(12,22),(12,24),(12,26),(13,23),(13,24),(13,27),(14,25),(14,26),(14,27),(15,22),(15,28),(15,31),(16,23),(16,28),(16,29),(17,24),(17,28),(17,30),(18,25),(18,29),(18,31),(19,26),(19,30),(19,31),(20,27),(20,29),(20,30),(22,32),(22,35),(23,32),(23,33),(24,32),(24,34),(25,33),(25,35),(26,34),(26,35),(27,33),(27,34),(28,32),(28,36),(29,33),(29,36),(30,34),(30,36),(31,35),(31,36),(32,37),(33,37),(34,37),(35,37),(36,1),(36,2),(36,37),(37,9),(37,10)],38)
([(0,6),(1,8),(2,8),(4,5),(5,2),(6,7),(7,1),(7,4),(8,3)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,14),(2,8),(2,9),(2,10),(2,14),(3,16),(3,17),(3,20),(3,23),(4,15),(4,17),(4,19),(4,22),(5,15),(5,16),(5,18),(5,21),(6,21),(6,22),(6,23),(6,24),(7,18),(7,19),(7,20),(7,24),(8,25),(8,28),(8,30),(9,26),(9,29),(9,30),(10,27),(10,28),(10,29),(11,25),(11,31),(11,33),(12,26),(12,32),(12,33),(13,27),(13,31),(13,32),(14,25),(14,26),(14,27),(15,39),(15,42),(15,43),(16,37),(16,40),(16,43),(17,38),(17,41),(17,43),(18,34),(18,37),(18,39),(19,35),(19,38),(19,39),(20,36),(20,37),(20,38),(21,34),(21,40),(21,42),(22,35),(22,41),(22,42),(23,36),(23,40),(23,41),(24,1),(24,2),(24,34),(24,35),(24,36),(25,44),(25,46),(26,45),(26,46),(27,44),(27,45),(28,44),(28,49),(29,45),(29,49),(30,46),(30,49),(31,44),(31,50),(32,45),(32,50),(33,46),(33,50),(34,8),(34,11),(34,51),(34,53),(35,9),(35,12),(35,52),(35,53),(36,10),(36,13),(36,51),(36,52),(37,47),(37,51),(38,47),(38,52),(39,47),(39,53),(40,48),(40,51),(41,48),(41,52),(42,48),(42,53),(43,47),(43,48),(44,55),(45,55),(46,55),(47,54),(48,54),(49,55),(50,55),(51,28),(51,31),(51,54),(52,29),(52,32),(52,54),(53,30),(53,33),(53,54),(54,49),(54,50)],56)
([(0,2),(0,3),(0,5),(1,6),(1,7),(2,7),(3,6),(4,1),(5,4),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,9),(7,9),(8,9)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(99,123),(100,121),(100,123),(101,122),(101,123),(102,120),(102,122),(103,121),(103,122),(104,120),(104,121),(105,120),(105,124),(106,121),(106,124),(107,122),(107,124),(108,123),(108,124),(109,120),(109,125),(110,121),(110,125),(111,122),(111,125),(112,123),(112,125),(113,124),(113,125),(114,120),(114,126),(115,121),(115,126),(116,122),(116,126),(117,123),(117,126),(118,124),(118,126),(119,125),(119,126),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(4,7),(5,9),(6,9),(7,9),(8,9)],10)=>([(0,1),(0,2),(1,3),(2,3)],4)
([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,31),(2,32),(2,33),(2,34),(2,35),(2,36),(2,37),(2,45),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(3,37),(3,44),(4,20),(4,21),(4,22),(4,23),(4,24),(4,30),(4,36),(4,43),(5,16),(5,17),(5,18),(5,19),(5,24),(5,29),(5,35),(5,42),(6,13),(6,14),(6,15),(6,19),(6,23),(6,28),(6,34),(6,41),(7,11),(7,12),(7,15),(7,18),(7,22),(7,27),(7,33),(7,40),(8,10),(8,12),(8,14),(8,17),(8,21),(8,26),(8,32),(8,39),(9,10),(9,11),(9,13),(9,16),(9,20),(9,25),(9,31),(9,38),(10,46),(10,49),(10,52),(10,58),(10,68),(10,83),(10,104),(11,46),(11,47),(11,50),(11,56),(11,66),(11,81),(11,102),(12,46),(12,48),(12,51),(12,57),(12,67),(12,82),(12,103),(13,47),(13,49),(13,53),(13,59),(13,69),(13,84),(13,105),(14,48),(14,49),(14,54),(14,60),(14,70),(14,85),(14,106),(15,47),(15,48),(15,55),(15,61),(15,71),(15,86),(15,107),(16,50),(16,52),(16,53),(16,62),(16,72),(16,87),(16,108),(17,51),(17,52),(17,54),(17,63),(17,73),(17,88),(17,109),(18,50),(18,51),(18,55),(18,64),(18,74),(18,89),(18,110),(19,53),(19,54),(19,55),(19,65),(19,75),(19,90),(19,111),(20,56),(20,58),(20,59),(20,62),(20,76),(20,91),(20,112),(21,57),(21,58),(21,60),(21,63),(21,77),(21,92),(21,113),(22,56),(22,57),(22,61),(22,64),(22,78),(22,93),(22,114),(23,59),(23,60),(23,61),(23,65),(23,79),(23,94),(23,115),(24,62),(24,63),(24,64),(24,65),(24,80),(24,95),(24,116),(25,66),(25,68),(25,69),(25,72),(25,76),(25,96),(25,117),(26,67),(26,68),(26,70),(26,73),(26,77),(26,97),(26,118),(27,66),(27,67),(27,71),(27,74),(27,78),(27,98),(27,119),(28,69),(28,70),(28,71),(28,75),(28,79),(28,99),(28,120),(29,72),(29,73),(29,74),(29,75),(29,80),(29,100),(29,121),(30,76),(30,77),(30,78),(30,79),(30,80),(30,101),(30,122),(31,81),(31,83),(31,84),(31,87),(31,91),(31,96),(31,123),(32,82),(32,83),(32,85),(32,88),(32,92),(32,97),(32,124),(33,81),(33,82),(33,86),(33,89),(33,93),(33,98),(33,125),(34,84),(34,85),(34,86),(34,90),(34,94),(34,99),(34,126),(35,87),(35,88),(35,89),(35,90),(35,95),(35,100),(35,127),(36,91),(36,92),(36,93),(36,94),(36,95),(36,101),(36,128),(37,96),(37,97),(37,98),(37,99),(37,100),(37,101),(37,129),(38,102),(38,104),(38,105),(38,108),(38,112),(38,117),(38,123),(39,103),(39,104),(39,106),(39,109),(39,113),(39,118),(39,124),(40,102),(40,103),(40,107),(40,110),(40,114),(40,119),(40,125),(41,105),(41,106),(41,107),(41,111),(41,115),(41,120),(41,126),(42,108),(42,109),(42,110),(42,111),(42,116),(42,121),(42,127),(43,112),(43,113),(43,114),(43,115),(43,116),(43,122),(43,128),(44,117),(44,118),(44,119),(44,120),(44,121),(44,122),(44,129),(45,123),(45,124),(45,125),(45,126),(45,127),(45,128),(45,129),(46,133),(46,134),(46,144),(46,154),(46,174),(46,209),(47,130),(47,134),(47,141),(47,151),(47,171),(47,206),(48,131),(48,134),(48,142),(48,152),(48,172),(48,207),(49,132),(49,134),(49,143),(49,153),(49,173),(49,208),(50,130),(50,133),(50,135),(50,145),(50,165),(50,200),(51,131),(51,133),(51,136),(51,146),(51,166),(51,201),(52,132),(52,133),(52,137),(52,147),(52,167),(52,202),(53,130),(53,132),(53,138),(53,148),(53,168),(53,203),(54,131),(54,132),(54,139),(54,149),(54,169),(54,204),(55,130),(55,131),(55,140),(55,150),(55,170),(55,205),(56,135),(56,141),(56,144),(56,155),(56,175),(56,210),(57,136),(57,142),(57,144),(57,156),(57,176),(57,211),(58,137),(58,143),(58,144),(58,157),(58,177),(58,212),(59,138),(59,141),(59,143),(59,158),(59,178),(59,213),(60,139),(60,142),(60,143),(60,159),(60,179),(60,214),(61,140),(61,141),(61,142),(61,160),(61,180),(61,215),(62,135),(62,137),(62,138),(62,161),(62,181),(62,216),(63,136),(63,137),(63,139),(63,162),(63,182),(63,217),(64,135),(64,136),(64,140),(64,163),(64,183),(64,218),(65,138),(65,139),(65,140),(65,164),(65,184),(65,219),(66,145),(66,151),(66,154),(66,155),(66,185),(66,220),(67,146),(67,152),(67,154),(67,156),(67,186),(67,221),(68,147),(68,153),(68,154),(68,157),(68,187),(68,222),(69,148),(69,151),(69,153),(69,158),(69,188),(69,223),(70,149),(70,152),(70,153),(70,159),(70,189),(70,224),(71,150),(71,151),(71,152),(71,160),(71,190),(71,225),(72,145),(72,147),(72,148),(72,161),(72,191),(72,226),(73,146),(73,147),(73,149),(73,162),(73,192),(73,227),(74,145),(74,146),(74,150),(74,163),(74,193),(74,228),(75,148),(75,149),(75,150),(75,164),(75,194),(75,229),(76,155),(76,157),(76,158),(76,161),(76,195),(76,230),(77,156),(77,157),(77,159),(77,162),(77,196),(77,231),(78,155),(78,156),(78,160),(78,163),(78,197),(78,232),(79,158),(79,159),(79,160),(79,164),(79,198),(79,233),(80,161),(80,162),(80,163),(80,164),(80,199),(80,234),(81,165),(81,171),(81,174),(81,175),(81,185),(81,235),(82,166),(82,172),(82,174),(82,176),(82,186),(82,236),(83,167),(83,173),(83,174),(83,177),(83,187),(83,237),(84,168),(84,171),(84,173),(84,178),(84,188),(84,238),(85,169),(85,172),(85,173),(85,179),(85,189),(85,239),(86,170),(86,171),(86,172),(86,180),(86,190),(86,240),(87,165),(87,167),(87,168),(87,181),(87,191),(87,241),(88,166),(88,167),(88,169),(88,182),(88,192),(88,242),(89,165),(89,166),(89,170),(89,183),(89,193),(89,243),(90,168),(90,169),(90,170),(90,184),(90,194),(90,244),(91,175),(91,177),(91,178),(91,181),(91,195),(91,245),(92,176),(92,177),(92,179),(92,182),(92,196),(92,246),(93,175),(93,176),(93,180),(93,183),(93,197),(93,247),(94,178),(94,179),(94,180),(94,184),(94,198),(94,248),(95,181),(95,182),(95,183),(95,184),(95,199),(95,249),(96,185),(96,187),(96,188),(96,191),(96,195),(96,250),(97,186),(97,187),(97,189),(97,192),(97,196),(97,251),(98,185),(98,186),(98,190),(98,193),(98,197),(98,252),(99,188),(99,189),(99,190),(99,194),(99,198),(99,253),(100,191),(100,192),(100,193),(100,194),(100,199),(100,254),(101,195),(101,196),(101,197),(101,198),(101,199),(101,255),(102,200),(102,206),(102,209),(102,210),(102,220),(102,235),(103,201),(103,207),(103,209),(103,211),(103,221),(103,236),(104,202),(104,208),(104,209),(104,212),(104,222),(104,237),(105,203),(105,206),(105,208),(105,213),(105,223),(105,238),(106,204),(106,207),(106,208),(106,214),(106,224),(106,239),(107,205),(107,206),(107,207),(107,215),(107,225),(107,240),(108,200),(108,202),(108,203),(108,216),(108,226),(108,241),(109,201),(109,202),(109,204),(109,217),(109,227),(109,242),(110,200),(110,201),(110,205),(110,218),(110,228),(110,243),(111,203),(111,204),(111,205),(111,219),(111,229),(111,244),(112,210),(112,212),(112,213),(112,216),(112,230),(112,245),(113,211),(113,212),(113,214),(113,217),(113,231),(113,246),(114,210),(114,211),(114,215),(114,218),(114,232),(114,247),(115,213),(115,214),(115,215),(115,219),(115,233),(115,248),(116,216),(116,217),(116,218),(116,219),(116,234),(116,249),(117,220),(117,222),(117,223),(117,226),(117,230),(117,250),(118,221),(118,222),(118,224),(118,227),(118,231),(118,251),(119,220),(119,221),(119,225),(119,228),(119,232),(119,252),(120,223),(120,224),(120,225),(120,229),(120,233),(120,253),(121,226),(121,227),(121,228),(121,229),(121,234),(121,254),(122,230),(122,231),(122,232),(122,233),(122,234),(122,255),(123,235),(123,237),(123,238),(123,241),(123,245),(123,250),(124,236),(124,237),(124,239),(124,242),(124,246),(124,251),(125,235),(125,236),(125,240),(125,243),(125,247),(125,252),(126,238),(126,239),(126,240),(126,244),(126,248),(126,253),(127,241),(127,242),(127,243),(127,244),(127,249),(127,254),(128,245),(128,246),(128,247),(128,248),(128,249),(128,255),(129,250),(129,251),(129,252),(129,253),(129,254),(129,255),(130,266),(130,271),(130,276),(130,307),(130,342),(131,267),(131,272),(131,276),(131,308),(131,343),(132,268),(132,273),(132,276),(132,309),(132,344),(133,269),(133,274),(133,276),(133,310),(133,345),(134,270),(134,275),(134,276),(134,311),(134,346),(135,256),(135,271),(135,274),(135,297),(135,332),(136,257),(136,272),(136,274),(136,298),(136,333),(137,258),(137,273),(137,274),(137,299),(137,334),(138,259),(138,271),(138,273),(138,300),(138,335),(139,260),(139,272),(139,273),(139,301),(139,336),(140,261),(140,271),(140,272),(140,302),(140,337),(141,262),(141,271),(141,275),(141,303),(141,338),(142,263),(142,272),(142,275),(142,304),(142,339),(143,264),(143,273),(143,275),(143,305),(143,340),(144,265),(144,274),(144,275),(144,306),(144,341),(145,256),(145,266),(145,269),(145,277),(145,312),(146,257),(146,267),(146,269),(146,278),(146,313),(147,258),(147,268),(147,269),(147,279),(147,314),(148,259),(148,266),(148,268),(148,280),(148,315),(149,260),(149,267),(149,268),(149,281),(149,316),(150,261),(150,266),(150,267),(150,282),(150,317),(151,262),(151,266),(151,270),(151,283),(151,318),(152,263),(152,267),(152,270),(152,284),(152,319),(153,264),(153,268),(153,270),(153,285),(153,320),(154,265),(154,269),(154,270),(154,286),(154,321),(155,256),(155,262),(155,265),(155,287),(155,322),(156,257),(156,263),(156,265),(156,288),(156,323),(157,258),(157,264),(157,265),(157,289),(157,324),(158,259),(158,262),(158,264),(158,290),(158,325),(159,260),(159,263),(159,264),(159,291),(159,326),(160,261),(160,262),(160,263),(160,292),(160,327),(161,256),(161,258),(161,259),(161,293),(161,328),(162,257),(162,258),(162,260),(162,294),(162,329),(163,256),(163,257),(163,261),(163,295),(163,330),(164,259),(164,260),(164,261),(164,296),(164,331),(165,277),(165,297),(165,307),(165,310),(165,347),(166,278),(166,298),(166,308),(166,310),(166,348),(167,279),(167,299),(167,309),(167,310),(167,349),(168,280),(168,300),(168,307),(168,309),(168,350),(169,281),(169,301),(169,308),(169,309),(169,351),(170,282),(170,302),(170,307),(170,308),(170,352),(171,283),(171,303),(171,307),(171,311),(171,353),(172,284),(172,304),(172,308),(172,311),(172,354),(173,285),(173,305),(173,309),(173,311),(173,355),(174,286),(174,306),(174,310),(174,311),(174,356),(175,287),(175,297),(175,303),(175,306),(175,357),(176,288),(176,298),(176,304),(176,306),(176,358),(177,289),(177,299),(177,305),(177,306),(177,359),(178,290),(178,300),(178,303),(178,305),(178,360),(179,291),(179,301),(179,304),(179,305),(179,361),(180,292),(180,302),(180,303),(180,304),(180,362),(181,293),(181,297),(181,299),(181,300),(181,363),(182,294),(182,298),(182,299),(182,301),(182,364),(183,295),(183,297),(183,298),(183,302),(183,365),(184,296),(184,300),(184,301),(184,302),(184,366),(185,277),(185,283),(185,286),(185,287),(185,367),(186,278),(186,284),(186,286),(186,288),(186,368),(187,279),(187,285),(187,286),(187,289),(187,369),(188,280),(188,283),(188,285),(188,290),(188,370),(189,281),(189,284),(189,285),(189,291),(189,371),(190,282),(190,283),(190,284),(190,292),(190,372),(191,277),(191,279),(191,280),(191,293),(191,373),(192,278),(192,279),(192,281),(192,294),(192,374),(193,277),(193,278),(193,282),(193,295),(193,375),(194,280),(194,281),(194,282),(194,296),(194,376),(195,287),(195,289),(195,290),(195,293),(195,377),(196,288),(196,289),(196,291),(196,294),(196,378),(197,287),(197,288),(197,292),(197,295),(197,379),(198,290),(198,291),(198,292),(198,296),(198,380),(199,293),(199,294),(199,295),(199,296),(199,381),(200,312),(200,332),(200,342),(200,345),(200,347),(201,313),(201,333),(201,343),(201,345),(201,348),(202,314),(202,334),(202,344),(202,345),(202,349),(203,315),(203,335),(203,342),(203,344),(203,350),(204,316),(204,336),(204,343),(204,344),(204,351),(205,317),(205,337),(205,342),(205,343),(205,352),(206,318),(206,338),(206,342),(206,346),(206,353),(207,319),(207,339),(207,343),(207,346),(207,354),(208,320),(208,340),(208,344),(208,346),(208,355),(209,321),(209,341),(209,345),(209,346),(209,356),(210,322),(210,332),(210,338),(210,341),(210,357),(211,323),(211,333),(211,339),(211,341),(211,358),(212,324),(212,334),(212,340),(212,341),(212,359),(213,325),(213,335),(213,338),(213,340),(213,360),(214,326),(214,336),(214,339),(214,340),(214,361),(215,327),(215,337),(215,338),(215,339),(215,362),(216,328),(216,332),(216,334),(216,335),(216,363),(217,329),(217,333),(217,334),(217,336),(217,364),(218,330),(218,332),(218,333),(218,337),(218,365),(219,331),(219,335),(219,336),(219,337),(219,366),(220,312),(220,318),(220,321),(220,322),(220,367),(221,313),(221,319),(221,321),(221,323),(221,368),(222,314),(222,320),(222,321),(222,324),(222,369),(223,315),(223,318),(223,320),(223,325),(223,370),(224,316),(224,319),(224,320),(224,326),(224,371),(225,317),(225,318),(225,319),(225,327),(225,372),(226,312),(226,314),(226,315),(226,328),(226,373),(227,313),(227,314),(227,316),(227,329),(227,374),(228,312),(228,313),(228,317),(228,330),(228,375),(229,315),(229,316),(229,317),(229,331),(229,376),(230,322),(230,324),(230,325),(230,328),(230,377),(231,323),(231,324),(231,326),(231,329),(231,378),(232,322),(232,323),(232,327),(232,330),(232,379),(233,325),(233,326),(233,327),(233,331),(233,380),(234,328),(234,329),(234,330),(234,331),(234,381),(235,347),(235,353),(235,356),(235,357),(235,367),(236,348),(236,354),(236,356),(236,358),(236,368),(237,349),(237,355),(237,356),(237,359),(237,369),(238,350),(238,353),(238,355),(238,360),(238,370),(239,351),(239,354),(239,355),(239,361),(239,371),(240,352),(240,353),(240,354),(240,362),(240,372),(241,347),(241,349),(241,350),(241,363),(241,373),(242,348),(242,349),(242,351),(242,364),(242,374),(243,347),(243,348),(243,352),(243,365),(243,375),(244,350),(244,351),(244,352),(244,366),(244,376),(245,357),(245,359),(245,360),(245,363),(245,377),(246,358),(246,359),(246,361),(246,364),(246,378),(247,357),(247,358),(247,362),(247,365),(247,379),(248,360),(248,361),(248,362),(248,366),(248,380),(249,363),(249,364),(249,365),(249,366),(249,381),(250,367),(250,369),(250,370),(250,373),(250,377),(251,368),(251,369),(251,371),(251,374),(251,378),(252,367),(252,368),(252,372),(252,375),(252,379),(253,370),(253,371),(253,372),(253,376),(253,380),(254,373),(254,374),(254,375),(254,376),(254,381),(255,377),(255,378),(255,379),(255,380),(255,381),(256,417),(256,438),(256,459),(256,462),(257,418),(257,439),(257,460),(257,462),(258,419),(258,440),(258,461),(258,462),(259,420),(259,441),(259,459),(259,461),(260,421),(260,442),(260,460),(260,461),(261,422),(261,443),(261,459),(261,460),(262,423),(262,444),(262,459),(262,463),(263,424),(263,445),(263,460),(263,463),(264,425),(264,446),(264,461),(264,463),(265,426),(265,447),(265,462),(265,463),(266,427),(266,448),(266,459),(266,464),(267,428),(267,449),(267,460),(267,464),(268,429),(268,450),(268,461),(268,464),(269,430),(269,451),(269,462),(269,464),(270,431),(270,452),(270,463),(270,464),(271,432),(271,453),(271,459),(271,465),(272,433),(272,454),(272,460),(272,465),(273,434),(273,455),(273,461),(273,465),(274,435),(274,456),(274,462),(274,465),(275,436),(275,457),(275,463),(275,465),(276,437),(276,458),(276,464),(276,465),(277,382),(277,438),(277,448),(277,451),(278,383),(278,439),(278,449),(278,451),(279,384),(279,440),(279,450),(279,451),(280,385),(280,441),(280,448),(280,450),(281,386),(281,442),(281,449),(281,450),(282,387),(282,443),(282,448),(282,449),(283,388),(283,444),(283,448),(283,452),(284,389),(284,445),(284,449),(284,452),(285,390),(285,446),(285,450),(285,452),(286,391),(286,447),(286,451),(286,452),(287,392),(287,438),(287,444),(287,447),(288,393),(288,439),(288,445),(288,447),(289,394),(289,440),(289,446),(289,447),(290,395),(290,441),(290,444),(290,446),(291,396),(291,442),(291,445),(291,446),(292,397),(292,443),(292,444),(292,445),(293,398),(293,438),(293,440),(293,441),(294,399),(294,439),(294,440),(294,442),(295,400),(295,438),(295,439),(295,443),(296,401),(296,441),(296,442),(296,443),(297,402),(297,438),(297,453),(297,456),(298,403),(298,439),(298,454),(298,456),(299,404),(299,440),(299,455),(299,456),(300,405),(300,441),(300,453),(300,455),(301,406),(301,442),(301,454),(301,455),(302,407),(302,443),(302,453),(302,454),(303,408),(303,444),(303,453),(303,457),(304,409),(304,445),(304,454),(304,457),(305,410),(305,446),(305,455),(305,457),(306,411),(306,447),(306,456),(306,457),(307,412),(307,448),(307,453),(307,458),(308,413),(308,449),(308,454),(308,458),(309,414),(309,450),(309,455),(309,458),(310,415),(310,451),(310,456),(310,458),(311,416),(311,452),(311,457),(311,458),(312,382),(312,417),(312,427),(312,430),(313,383),(313,418),(313,428),(313,430),(314,384),(314,419),(314,429),(314,430),(315,385),(315,420),(315,427),(315,429),(316,386),(316,421),(316,428),(316,429),(317,387),(317,422),(317,427),(317,428),(318,388),(318,423),(318,427),(318,431),(319,389),(319,424),(319,428),(319,431),(320,390),(320,425),(320,429),(320,431),(321,391),(321,426),(321,430),(321,431),(322,392),(322,417),(322,423),(322,426),(323,393),(323,418),(323,424),(323,426),(324,394),(324,419),(324,425),(324,426),(325,395),(325,420),(325,423),(325,425),(326,396),(326,421),(326,424),(326,425),(327,397),(327,422),(327,423),(327,424),(328,398),(328,417),(328,419),(328,420),(329,399),(329,418),(329,419),(329,421),(330,400),(330,417),(330,418),(330,422),(331,401),(331,420),(331,421),(331,422),(332,402),(332,417),(332,432),(332,435),(333,403),(333,418),(333,433),(333,435),(334,404),(334,419),(334,434),(334,435),(335,405),(335,420),(335,432),(335,434),(336,406),(336,421),(336,433),(336,434),(337,407),(337,422),(337,432),(337,433),(338,408),(338,423),(338,432),(338,436),(339,409),(339,424),(339,433),(339,436),(340,410),(340,425),(340,434),(340,436),(341,411),(341,426),(341,435),(341,436),(342,412),(342,427),(342,432),(342,437),(343,413),(343,428),(343,433),(343,437),(344,414),(344,429),(344,434),(344,437),(345,415),(345,430),(345,435),(345,437),(346,416),(346,431),(346,436),(346,437),(347,382),(347,402),(347,412),(347,415),(348,383),(348,403),(348,413),(348,415),(349,384),(349,404),(349,414),(349,415),(350,385),(350,405),(350,412),(350,414),(351,386),(351,406),(351,413),(351,414),(352,387),(352,407),(352,412),(352,413),(353,388),(353,408),(353,412),(353,416),(354,389),(354,409),(354,413),(354,416),(355,390),(355,410),(355,414),(355,416),(356,391),(356,411),(356,415),(356,416),(357,392),(357,402),(357,408),(357,411),(358,393),(358,403),(358,409),(358,411),(359,394),(359,404),(359,410),(359,411),(360,395),(360,405),(360,408),(360,410),(361,396),(361,406),(361,409),(361,410),(362,397),(362,407),(362,408),(362,409),(363,398),(363,402),(363,404),(363,405),(364,399),(364,403),(364,404),(364,406),(365,400),(365,402),(365,403),(365,407),(366,401),(366,405),(366,406),(366,407),(367,382),(367,388),(367,391),(367,392),(368,383),(368,389),(368,391),(368,393),(369,384),(369,390),(369,391),(369,394),(370,385),(370,388),(370,390),(370,395),(371,386),(371,389),(371,390),(371,396),(372,387),(372,388),(372,389),(372,397),(373,382),(373,384),(373,385),(373,398),(374,383),(374,384),(374,386),(374,399),(375,382),(375,383),(375,387),(375,400),(376,385),(376,386),(376,387),(376,401),(377,392),(377,394),(377,395),(377,398),(378,393),(378,394),(378,396),(378,399),(379,392),(379,393),(379,397),(379,400),(380,395),(380,396),(380,397),(380,401),(381,398),(381,399),(381,400),(381,401),(382,466),(382,476),(382,479),(383,467),(383,477),(383,479),(384,468),(384,478),(384,479),(385,469),(385,476),(385,478),(386,470),(386,477),(386,478),(387,471),(387,476),(387,477),(388,472),(388,476),(388,480),(389,473),(389,477),(389,480),(390,474),(390,478),(390,480),(391,475),(391,479),(391,480),(392,466),(392,472),(392,475),(393,467),(393,473),(393,475),(394,468),(394,474),(394,475),(395,469),(395,472),(395,474),(396,470),(396,473),(396,474),(397,471),(397,472),(397,473),(398,466),(398,468),(398,469),(399,467),(399,468),(399,470),(400,466),(400,467),(400,471),(401,469),(401,470),(401,471),(402,466),(402,481),(402,484),(403,467),(403,482),(403,484),(404,468),(404,483),(404,484),(405,469),(405,481),(405,483),(406,470),(406,482),(406,483),(407,471),(407,481),(407,482),(408,472),(408,481),(408,485),(409,473),(409,482),(409,485),(410,474),(410,483),(410,485),(411,475),(411,484),(411,485),(412,476),(412,481),(412,486),(413,477),(413,482),(413,486),(414,478),(414,483),(414,486),(415,479),(415,484),(415,486),(416,480),(416,485),(416,486),(417,466),(417,487),(417,490),(418,467),(418,488),(418,490),(419,468),(419,489),(419,490),(420,469),(420,487),(420,489),(421,470),(421,488),(421,489),(422,471),(422,487),(422,488),(423,472),(423,487),(423,491),(424,473),(424,488),(424,491),(425,474),(425,489),(425,491),(426,475),(426,490),(426,491),(427,476),(427,487),(427,492),(428,477),(428,488),(428,492),(429,478),(429,489),(429,492),(430,479),(430,490),(430,492),(431,480),(431,491),(431,492),(432,481),(432,487),(432,493),(433,482),(433,488),(433,493),(434,483),(434,489),(434,493),(435,484),(435,490),(435,493),(436,485),(436,491),(436,493),(437,486),(437,492),(437,493),(438,466),(438,494),(438,497),(439,467),(439,495),(439,497),(440,468),(440,496),(440,497),(441,469),(441,494),(441,496),(442,470),(442,495),(442,496),(443,471),(443,494),(443,495),(444,472),(444,494),(444,498),(445,473),(445,495),(445,498),(446,474),(446,496),(446,498),(447,475),(447,497),(447,498),(448,476),(448,494),(448,499),(449,477),(449,495),(449,499),(450,478),(450,496),(450,499),(451,479),(451,497),(451,499),(452,480),(452,498),(452,499),(453,481),(453,494),(453,500),(454,482),(454,495),(454,500),(455,483),(455,496),(455,500),(456,484),(456,497),(456,500),(457,485),(457,498),(457,500),(458,486),(458,499),(458,500),(459,487),(459,494),(459,501),(460,488),(460,495),(460,501),(461,489),(461,496),(461,501),(462,490),(462,497),(462,501),(463,491),(463,498),(463,501),(464,492),(464,499),(464,501),(465,493),(465,500),(465,501),(466,502),(466,505),(467,503),(467,505),(468,504),(468,505),(469,502),(469,504),(470,503),(470,504),(471,502),(471,503),(472,502),(472,506),(473,503),(473,506),(474,504),(474,506),(475,505),(475,506),(476,502),(476,507),(477,503),(477,507),(478,504),(478,507),(479,505),(479,507),(480,506),(480,507),(481,502),(481,508),(482,503),(482,508),(483,504),(483,508),(484,505),(484,508),(485,506),(485,508),(486,507),(486,508),(487,502),(487,509),(488,503),(488,509),(489,504),(489,509),(490,505),(490,509),(491,506),(491,509),(492,507),(492,509),(493,508),(493,509),(494,502),(494,510),(495,503),(495,510),(496,504),(496,510),(497,505),(497,510),(498,506),(498,510),(499,507),(499,510),(500,508),(500,510),(501,509),(501,510),(502,511),(503,511),(504,511),(505,511),(506,511),(507,511),(508,511),(509,511),(510,511)],512)
([(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),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>([(0,1)],2)
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,10),(7,10),(8,2),(8,10),(9,1),(10,9)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(2,7),(2,9),(3,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,8),(6,9),(7,10),(8,10),(9,10),(10,1)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,9),(5,9),(6,10),(7,10),(8,10),(9,1),(9,2),(9,3)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(6,7),(7,9),(8,9),(10,7),(10,8)],11)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(10,8)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11)=>([(0,1)],2)
([(0,8),(2,10),(3,10),(4,6),(5,4),(6,9),(7,1),(8,5),(9,2),(9,3),(10,7)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,31),(2,32),(2,33),(2,34),(2,35),(2,36),(2,37),(2,45),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(3,37),(3,44),(4,20),(4,21),(4,22),(4,23),(4,24),(4,30),(4,36),(4,43),(5,16),(5,17),(5,18),(5,19),(5,24),(5,29),(5,35),(5,42),(6,13),(6,14),(6,15),(6,19),(6,23),(6,28),(6,34),(6,41),(7,11),(7,12),(7,15),(7,18),(7,22),(7,27),(7,33),(7,40),(8,10),(8,12),(8,14),(8,17),(8,21),(8,26),(8,32),(8,39),(9,10),(9,11),(9,13),(9,16),(9,20),(9,25),(9,31),(9,38),(10,46),(10,49),(10,52),(10,58),(10,68),(10,83),(10,104),(11,46),(11,47),(11,50),(11,56),(11,66),(11,81),(11,102),(12,46),(12,48),(12,51),(12,57),(12,67),(12,82),(12,103),(13,47),(13,49),(13,53),(13,59),(13,69),(13,84),(13,105),(14,48),(14,49),(14,54),(14,60),(14,70),(14,85),(14,106),(15,47),(15,48),(15,55),(15,61),(15,71),(15,86),(15,107),(16,50),(16,52),(16,53),(16,62),(16,72),(16,87),(16,108),(17,51),(17,52),(17,54),(17,63),(17,73),(17,88),(17,109),(18,50),(18,51),(18,55),(18,64),(18,74),(18,89),(18,110),(19,53),(19,54),(19,55),(19,65),(19,75),(19,90),(19,111),(20,56),(20,58),(20,59),(20,62),(20,76),(20,91),(20,112),(21,57),(21,58),(21,60),(21,63),(21,77),(21,92),(21,113),(22,56),(22,57),(22,61),(22,64),(22,78),(22,93),(22,114),(23,59),(23,60),(23,61),(23,65),(23,79),(23,94),(23,115),(24,62),(24,63),(24,64),(24,65),(24,80),(24,95),(24,116),(25,66),(25,68),(25,69),(25,72),(25,76),(25,96),(25,117),(26,67),(26,68),(26,70),(26,73),(26,77),(26,97),(26,118),(27,66),(27,67),(27,71),(27,74),(27,78),(27,98),(27,119),(28,69),(28,70),(28,71),(28,75),(28,79),(28,99),(28,120),(29,72),(29,73),(29,74),(29,75),(29,80),(29,100),(29,121),(30,76),(30,77),(30,78),(30,79),(30,80),(30,101),(30,122),(31,81),(31,83),(31,84),(31,87),(31,91),(31,96),(31,123),(32,82),(32,83),(32,85),(32,88),(32,92),(32,97),(32,124),(33,81),(33,82),(33,86),(33,89),(33,93),(33,98),(33,125),(34,84),(34,85),(34,86),(34,90),(34,94),(34,99),(34,126),(35,87),(35,88),(35,89),(35,90),(35,95),(35,100),(35,127),(36,91),(36,92),(36,93),(36,94),(36,95),(36,101),(36,128),(37,96),(37,97),(37,98),(37,99),(37,100),(37,101),(37,129),(38,102),(38,104),(38,105),(38,108),(38,112),(38,117),(38,123),(39,103),(39,104),(39,106),(39,109),(39,113),(39,118),(39,124),(40,102),(40,103),(40,107),(40,110),(40,114),(40,119),(40,125),(41,105),(41,106),(41,107),(41,111),(41,115),(41,120),(41,126),(42,108),(42,109),(42,110),(42,111),(42,116),(42,121),(42,127),(43,112),(43,113),(43,114),(43,115),(43,116),(43,122),(43,128),(44,117),(44,118),(44,119),(44,120),(44,121),(44,122),(44,129),(45,123),(45,124),(45,125),(45,126),(45,127),(45,128),(45,129),(46,133),(46,134),(46,144),(46,154),(46,174),(46,209),(47,130),(47,134),(47,141),(47,151),(47,171),(47,206),(48,131),(48,134),(48,142),(48,152),(48,172),(48,207),(49,132),(49,134),(49,143),(49,153),(49,173),(49,208),(50,130),(50,133),(50,135),(50,145),(50,165),(50,200),(51,131),(51,133),(51,136),(51,146),(51,166),(51,201),(52,132),(52,133),(52,137),(52,147),(52,167),(52,202),(53,130),(53,132),(53,138),(53,148),(53,168),(53,203),(54,131),(54,132),(54,139),(54,149),(54,169),(54,204),(55,130),(55,131),(55,140),(55,150),(55,170),(55,205),(56,135),(56,141),(56,144),(56,155),(56,175),(56,210),(57,136),(57,142),(57,144),(57,156),(57,176),(57,211),(58,137),(58,143),(58,144),(58,157),(58,177),(58,212),(59,138),(59,141),(59,143),(59,158),(59,178),(59,213),(60,139),(60,142),(60,143),(60,159),(60,179),(60,214),(61,140),(61,141),(61,142),(61,160),(61,180),(61,215),(62,135),(62,137),(62,138),(62,161),(62,181),(62,216),(63,136),(63,137),(63,139),(63,162),(63,182),(63,217),(64,135),(64,136),(64,140),(64,163),(64,183),(64,218),(65,138),(65,139),(65,140),(65,164),(65,184),(65,219),(66,145),(66,151),(66,154),(66,155),(66,185),(66,220),(67,146),(67,152),(67,154),(67,156),(67,186),(67,221),(68,147),(68,153),(68,154),(68,157),(68,187),(68,222),(69,148),(69,151),(69,153),(69,158),(69,188),(69,223),(70,149),(70,152),(70,153),(70,159),(70,189),(70,224),(71,150),(71,151),(71,152),(71,160),(71,190),(71,225),(72,145),(72,147),(72,148),(72,161),(72,191),(72,226),(73,146),(73,147),(73,149),(73,162),(73,192),(73,227),(74,145),(74,146),(74,150),(74,163),(74,193),(74,228),(75,148),(75,149),(75,150),(75,164),(75,194),(75,229),(76,155),(76,157),(76,158),(76,161),(76,195),(76,230),(77,156),(77,157),(77,159),(77,162),(77,196),(77,231),(78,155),(78,156),(78,160),(78,163),(78,197),(78,232),(79,158),(79,159),(79,160),(79,164),(79,198),(79,233),(80,161),(80,162),(80,163),(80,164),(80,199),(80,234),(81,165),(81,171),(81,174),(81,175),(81,185),(81,235),(82,166),(82,172),(82,174),(82,176),(82,186),(82,236),(83,167),(83,173),(83,174),(83,177),(83,187),(83,237),(84,168),(84,171),(84,173),(84,178),(84,188),(84,238),(85,169),(85,172),(85,173),(85,179),(85,189),(85,239),(86,170),(86,171),(86,172),(86,180),(86,190),(86,240),(87,165),(87,167),(87,168),(87,181),(87,191),(87,241),(88,166),(88,167),(88,169),(88,182),(88,192),(88,242),(89,165),(89,166),(89,170),(89,183),(89,193),(89,243),(90,168),(90,169),(90,170),(90,184),(90,194),(90,244),(91,175),(91,177),(91,178),(91,181),(91,195),(91,245),(92,176),(92,177),(92,179),(92,182),(92,196),(92,246),(93,175),(93,176),(93,180),(93,183),(93,197),(93,247),(94,178),(94,179),(94,180),(94,184),(94,198),(94,248),(95,181),(95,182),(95,183),(95,184),(95,199),(95,249),(96,185),(96,187),(96,188),(96,191),(96,195),(96,250),(97,186),(97,187),(97,189),(97,192),(97,196),(97,251),(98,185),(98,186),(98,190),(98,193),(98,197),(98,252),(99,188),(99,189),(99,190),(99,194),(99,198),(99,253),(100,191),(100,192),(100,193),(100,194),(100,199),(100,254),(101,195),(101,196),(101,197),(101,198),(101,199),(101,255),(102,200),(102,206),(102,209),(102,210),(102,220),(102,235),(103,201),(103,207),(103,209),(103,211),(103,221),(103,236),(104,202),(104,208),(104,209),(104,212),(104,222),(104,237),(105,203),(105,206),(105,208),(105,213),(105,223),(105,238),(106,204),(106,207),(106,208),(106,214),(106,224),(106,239),(107,205),(107,206),(107,207),(107,215),(107,225),(107,240),(108,200),(108,202),(108,203),(108,216),(108,226),(108,241),(109,201),(109,202),(109,204),(109,217),(109,227),(109,242),(110,200),(110,201),(110,205),(110,218),(110,228),(110,243),(111,203),(111,204),(111,205),(111,219),(111,229),(111,244),(112,210),(112,212),(112,213),(112,216),(112,230),(112,245),(113,211),(113,212),(113,214),(113,217),(113,231),(113,246),(114,210),(114,211),(114,215),(114,218),(114,232),(114,247),(115,213),(115,214),(115,215),(115,219),(115,233),(115,248),(116,216),(116,217),(116,218),(116,219),(116,234),(116,249),(117,220),(117,222),(117,223),(117,226),(117,230),(117,250),(118,221),(118,222),(118,224),(118,227),(118,231),(118,251),(119,220),(119,221),(119,225),(119,228),(119,232),(119,252),(120,223),(120,224),(120,225),(120,229),(120,233),(120,253),(121,226),(121,227),(121,228),(121,229),(121,234),(121,254),(122,230),(122,231),(122,232),(122,233),(122,234),(122,255),(123,235),(123,237),(123,238),(123,241),(123,245),(123,250),(124,236),(124,237),(124,239),(124,242),(124,246),(124,251),(125,235),(125,236),(125,240),(125,243),(125,247),(125,252),(126,238),(126,239),(126,240),(126,244),(126,248),(126,253),(127,241),(127,242),(127,243),(127,244),(127,249),(127,254),(128,245),(128,246),(128,247),(128,248),(128,249),(128,255),(129,250),(129,251),(129,252),(129,253),(129,254),(129,255),(130,266),(130,271),(130,276),(130,307),(130,342),(131,267),(131,272),(131,276),(131,308),(131,343),(132,268),(132,273),(132,276),(132,309),(132,344),(133,269),(133,274),(133,276),(133,310),(133,345),(134,270),(134,275),(134,276),(134,311),(134,346),(135,256),(135,271),(135,274),(135,297),(135,332),(136,257),(136,272),(136,274),(136,298),(136,333),(137,258),(137,273),(137,274),(137,299),(137,334),(138,259),(138,271),(138,273),(138,300),(138,335),(139,260),(139,272),(139,273),(139,301),(139,336),(140,261),(140,271),(140,272),(140,302),(140,337),(141,262),(141,271),(141,275),(141,303),(141,338),(142,263),(142,272),(142,275),(142,304),(142,339),(143,264),(143,273),(143,275),(143,305),(143,340),(144,265),(144,274),(144,275),(144,306),(144,341),(145,256),(145,266),(145,269),(145,277),(145,312),(146,257),(146,267),(146,269),(146,278),(146,313),(147,258),(147,268),(147,269),(147,279),(147,314),(148,259),(148,266),(148,268),(148,280),(148,315),(149,260),(149,267),(149,268),(149,281),(149,316),(150,261),(150,266),(150,267),(150,282),(150,317),(151,262),(151,266),(151,270),(151,283),(151,318),(152,263),(152,267),(152,270),(152,284),(152,319),(153,264),(153,268),(153,270),(153,285),(153,320),(154,265),(154,269),(154,270),(154,286),(154,321),(155,256),(155,262),(155,265),(155,287),(155,322),(156,257),(156,263),(156,265),(156,288),(156,323),(157,258),(157,264),(157,265),(157,289),(157,324),(158,259),(158,262),(158,264),(158,290),(158,325),(159,260),(159,263),(159,264),(159,291),(159,326),(160,261),(160,262),(160,263),(160,292),(160,327),(161,256),(161,258),(161,259),(161,293),(161,328),(162,257),(162,258),(162,260),(162,294),(162,329),(163,256),(163,257),(163,261),(163,295),(163,330),(164,259),(164,260),(164,261),(164,296),(164,331),(165,277),(165,297),(165,307),(165,310),(165,347),(166,278),(166,298),(166,308),(166,310),(166,348),(167,279),(167,299),(167,309),(167,310),(167,349),(168,280),(168,300),(168,307),(168,309),(168,350),(169,281),(169,301),(169,308),(169,309),(169,351),(170,282),(170,302),(170,307),(170,308),(170,352),(171,283),(171,303),(171,307),(171,311),(171,353),(172,284),(172,304),(172,308),(172,311),(172,354),(173,285),(173,305),(173,309),(173,311),(173,355),(174,286),(174,306),(174,310),(174,311),(174,356),(175,287),(175,297),(175,303),(175,306),(175,357),(176,288),(176,298),(176,304),(176,306),(176,358),(177,289),(177,299),(177,305),(177,306),(177,359),(178,290),(178,300),(178,303),(178,305),(178,360),(179,291),(179,301),(179,304),(179,305),(179,361),(180,292),(180,302),(180,303),(180,304),(180,362),(181,293),(181,297),(181,299),(181,300),(181,363),(182,294),(182,298),(182,299),(182,301),(182,364),(183,295),(183,297),(183,298),(183,302),(183,365),(184,296),(184,300),(184,301),(184,302),(184,366),(185,277),(185,283),(185,286),(185,287),(185,367),(186,278),(186,284),(186,286),(186,288),(186,368),(187,279),(187,285),(187,286),(187,289),(187,369),(188,280),(188,283),(188,285),(188,290),(188,370),(189,281),(189,284),(189,285),(189,291),(189,371),(190,282),(190,283),(190,284),(190,292),(190,372),(191,277),(191,279),(191,280),(191,293),(191,373),(192,278),(192,279),(192,281),(192,294),(192,374),(193,277),(193,278),(193,282),(193,295),(193,375),(194,280),(194,281),(194,282),(194,296),(194,376),(195,287),(195,289),(195,290),(195,293),(195,377),(196,288),(196,289),(196,291),(196,294),(196,378),(197,287),(197,288),(197,292),(197,295),(197,379),(198,290),(198,291),(198,292),(198,296),(198,380),(199,293),(199,294),(199,295),(199,296),(199,381),(200,312),(200,332),(200,342),(200,345),(200,347),(201,313),(201,333),(201,343),(201,345),(201,348),(202,314),(202,334),(202,344),(202,345),(202,349),(203,315),(203,335),(203,342),(203,344),(203,350),(204,316),(204,336),(204,343),(204,344),(204,351),(205,317),(205,337),(205,342),(205,343),(205,352),(206,318),(206,338),(206,342),(206,346),(206,353),(207,319),(207,339),(207,343),(207,346),(207,354),(208,320),(208,340),(208,344),(208,346),(208,355),(209,321),(209,341),(209,345),(209,346),(209,356),(210,322),(210,332),(210,338),(210,341),(210,357),(211,323),(211,333),(211,339),(211,341),(211,358),(212,324),(212,334),(212,340),(212,341),(212,359),(213,325),(213,335),(213,338),(213,340),(213,360),(214,326),(214,336),(214,339),(214,340),(214,361),(215,327),(215,337),(215,338),(215,339),(215,362),(216,328),(216,332),(216,334),(216,335),(216,363),(217,329),(217,333),(217,334),(217,336),(217,364),(218,330),(218,332),(218,333),(218,337),(218,365),(219,331),(219,335),(219,336),(219,337),(219,366),(220,312),(220,318),(220,321),(220,322),(220,367),(221,313),(221,319),(221,321),(221,323),(221,368),(222,314),(222,320),(222,321),(222,324),(222,369),(223,315),(223,318),(223,320),(223,325),(223,370),(224,316),(224,319),(224,320),(224,326),(224,371),(225,317),(225,318),(225,319),(225,327),(225,372),(226,312),(226,314),(226,315),(226,328),(226,373),(227,313),(227,314),(227,316),(227,329),(227,374),(228,312),(228,313),(228,317),(228,330),(228,375),(229,315),(229,316),(229,317),(229,331),(229,376),(230,322),(230,324),(230,325),(230,328),(230,377),(231,323),(231,324),(231,326),(231,329),(231,378),(232,322),(232,323),(232,327),(232,330),(232,379),(233,325),(233,326),(233,327),(233,331),(233,380),(234,328),(234,329),(234,330),(234,331),(234,381),(235,347),(235,353),(235,356),(235,357),(235,367),(236,348),(236,354),(236,356),(236,358),(236,368),(237,349),(237,355),(237,356),(237,359),(237,369),(238,350),(238,353),(238,355),(238,360),(238,370),(239,351),(239,354),(239,355),(239,361),(239,371),(240,352),(240,353),(240,354),(240,362),(240,372),(241,347),(241,349),(241,350),(241,363),(241,373),(242,348),(242,349),(242,351),(242,364),(242,374),(243,347),(243,348),(243,352),(243,365),(243,375),(244,350),(244,351),(244,352),(244,366),(244,376),(245,357),(245,359),(245,360),(245,363),(245,377),(246,358),(246,359),(246,361),(246,364),(246,378),(247,357),(247,358),(247,362),(247,365),(247,379),(248,360),(248,361),(248,362),(248,366),(248,380),(249,363),(249,364),(249,365),(249,366),(249,381),(250,367),(250,369),(250,370),(250,373),(250,377),(251,368),(251,369),(251,371),(251,374),(251,378),(252,367),(252,368),(252,372),(252,375),(252,379),(253,370),(253,371),(253,372),(253,376),(253,380),(254,373),(254,374),(254,375),(254,376),(254,381),(255,377),(255,378),(255,379),(255,380),(255,381),(256,417),(256,438),(256,459),(256,462),(257,418),(257,439),(257,460),(257,462),(258,419),(258,440),(258,461),(258,462),(259,420),(259,441),(259,459),(259,461),(260,421),(260,442),(260,460),(260,461),(261,422),(261,443),(261,459),(261,460),(262,423),(262,444),(262,459),(262,463),(263,424),(263,445),(263,460),(263,463),(264,425),(264,446),(264,461),(264,463),(265,426),(265,447),(265,462),(265,463),(266,427),(266,448),(266,459),(266,464),(267,428),(267,449),(267,460),(267,464),(268,429),(268,450),(268,461),(268,464),(269,430),(269,451),(269,462),(269,464),(270,431),(270,452),(270,463),(270,464),(271,432),(271,453),(271,459),(271,465),(272,433),(272,454),(272,460),(272,465),(273,434),(273,455),(273,461),(273,465),(274,435),(274,456),(274,462),(274,465),(275,436),(275,457),(275,463),(275,465),(276,437),(276,458),(276,464),(276,465),(277,382),(277,438),(277,448),(277,451),(278,383),(278,439),(278,449),(278,451),(279,384),(279,440),(279,450),(279,451),(280,385),(280,441),(280,448),(280,450),(281,386),(281,442),(281,449),(281,450),(282,387),(282,443),(282,448),(282,449),(283,388),(283,444),(283,448),(283,452),(284,389),(284,445),(284,449),(284,452),(285,390),(285,446),(285,450),(285,452),(286,391),(286,447),(286,451),(286,452),(287,392),(287,438),(287,444),(287,447),(288,393),(288,439),(288,445),(288,447),(289,394),(289,440),(289,446),(289,447),(290,395),(290,441),(290,444),(290,446),(291,396),(291,442),(291,445),(291,446),(292,397),(292,443),(292,444),(292,445),(293,398),(293,438),(293,440),(293,441),(294,399),(294,439),(294,440),(294,442),(295,400),(295,438),(295,439),(295,443),(296,401),(296,441),(296,442),(296,443),(297,402),(297,438),(297,453),(297,456),(298,403),(298,439),(298,454),(298,456),(299,404),(299,440),(299,455),(299,456),(300,405),(300,441),(300,453),(300,455),(301,406),(301,442),(301,454),(301,455),(302,407),(302,443),(302,453),(302,454),(303,408),(303,444),(303,453),(303,457),(304,409),(304,445),(304,454),(304,457),(305,410),(305,446),(305,455),(305,457),(306,411),(306,447),(306,456),(306,457),(307,412),(307,448),(307,453),(307,458),(308,413),(308,449),(308,454),(308,458),(309,414),(309,450),(309,455),(309,458),(310,415),(310,451),(310,456),(310,458),(311,416),(311,452),(311,457),(311,458),(312,382),(312,417),(312,427),(312,430),(313,383),(313,418),(313,428),(313,430),(314,384),(314,419),(314,429),(314,430),(315,385),(315,420),(315,427),(315,429),(316,386),(316,421),(316,428),(316,429),(317,387),(317,422),(317,427),(317,428),(318,388),(318,423),(318,427),(318,431),(319,389),(319,424),(319,428),(319,431),(320,390),(320,425),(320,429),(320,431),(321,391),(321,426),(321,430),(321,431),(322,392),(322,417),(322,423),(322,426),(323,393),(323,418),(323,424),(323,426),(324,394),(324,419),(324,425),(324,426),(325,395),(325,420),(325,423),(325,425),(326,396),(326,421),(326,424),(326,425),(327,397),(327,422),(327,423),(327,424),(328,398),(328,417),(328,419),(328,420),(329,399),(329,418),(329,419),(329,421),(330,400),(330,417),(330,418),(330,422),(331,401),(331,420),(331,421),(331,422),(332,402),(332,417),(332,432),(332,435),(333,403),(333,418),(333,433),(333,435),(334,404),(334,419),(334,434),(334,435),(335,405),(335,420),(335,432),(335,434),(336,406),(336,421),(336,433),(336,434),(337,407),(337,422),(337,432),(337,433),(338,408),(338,423),(338,432),(338,436),(339,409),(339,424),(339,433),(339,436),(340,410),(340,425),(340,434),(340,436),(341,411),(341,426),(341,435),(341,436),(342,412),(342,427),(342,432),(342,437),(343,413),(343,428),(343,433),(343,437),(344,414),(344,429),(344,434),(344,437),(345,415),(345,430),(345,435),(345,437),(346,416),(346,431),(346,436),(346,437),(347,382),(347,402),(347,412),(347,415),(348,383),(348,403),(348,413),(348,415),(349,384),(349,404),(349,414),(349,415),(350,385),(350,405),(350,412),(350,414),(351,386),(351,406),(351,413),(351,414),(352,387),(352,407),(352,412),(352,413),(353,388),(353,408),(353,412),(353,416),(354,389),(354,409),(354,413),(354,416),(355,390),(355,410),(355,414),(355,416),(356,391),(356,411),(356,415),(356,416),(357,392),(357,402),(357,408),(357,411),(358,393),(358,403),(358,409),(358,411),(359,394),(359,404),(359,410),(359,411),(360,395),(360,405),(360,408),(360,410),(361,396),(361,406),(361,409),(361,410),(362,397),(362,407),(362,408),(362,409),(363,398),(363,402),(363,404),(363,405),(364,399),(364,403),(364,404),(364,406),(365,400),(365,402),(365,403),(365,407),(366,401),(366,405),(366,406),(366,407),(367,382),(367,388),(367,391),(367,392),(368,383),(368,389),(368,391),(368,393),(369,384),(369,390),(369,391),(369,394),(370,385),(370,388),(370,390),(370,395),(371,386),(371,389),(371,390),(371,396),(372,387),(372,388),(372,389),(372,397),(373,382),(373,384),(373,385),(373,398),(374,383),(374,384),(374,386),(374,399),(375,382),(375,383),(375,387),(375,400),(376,385),(376,386),(376,387),(376,401),(377,392),(377,394),(377,395),(377,398),(378,393),(378,394),(378,396),(378,399),(379,392),(379,393),(379,397),(379,400),(380,395),(380,396),(380,397),(380,401),(381,398),(381,399),(381,400),(381,401),(382,466),(382,476),(382,479),(383,467),(383,477),(383,479),(384,468),(384,478),(384,479),(385,469),(385,476),(385,478),(386,470),(386,477),(386,478),(387,471),(387,476),(387,477),(388,472),(388,476),(388,480),(389,473),(389,477),(389,480),(390,474),(390,478),(390,480),(391,475),(391,479),(391,480),(392,466),(392,472),(392,475),(393,467),(393,473),(393,475),(394,468),(394,474),(394,475),(395,469),(395,472),(395,474),(396,470),(396,473),(396,474),(397,471),(397,472),(397,473),(398,466),(398,468),(398,469),(399,467),(399,468),(399,470),(400,466),(400,467),(400,471),(401,469),(401,470),(401,471),(402,466),(402,481),(402,484),(403,467),(403,482),(403,484),(404,468),(404,483),(404,484),(405,469),(405,481),(405,483),(406,470),(406,482),(406,483),(407,471),(407,481),(407,482),(408,472),(408,481),(408,485),(409,473),(409,482),(409,485),(410,474),(410,483),(410,485),(411,475),(411,484),(411,485),(412,476),(412,481),(412,486),(413,477),(413,482),(413,486),(414,478),(414,483),(414,486),(415,479),(415,484),(415,486),(416,480),(416,485),(416,486),(417,466),(417,487),(417,490),(418,467),(418,488),(418,490),(419,468),(419,489),(419,490),(420,469),(420,487),(420,489),(421,470),(421,488),(421,489),(422,471),(422,487),(422,488),(423,472),(423,487),(423,491),(424,473),(424,488),(424,491),(425,474),(425,489),(425,491),(426,475),(426,490),(426,491),(427,476),(427,487),(427,492),(428,477),(428,488),(428,492),(429,478),(429,489),(429,492),(430,479),(430,490),(430,492),(431,480),(431,491),(431,492),(432,481),(432,487),(432,493),(433,482),(433,488),(433,493),(434,483),(434,489),(434,493),(435,484),(435,490),(435,493),(436,485),(436,491),(436,493),(437,486),(437,492),(437,493),(438,466),(438,494),(438,497),(439,467),(439,495),(439,497),(440,468),(440,496),(440,497),(441,469),(441,494),(441,496),(442,470),(442,495),(442,496),(443,471),(443,494),(443,495),(444,472),(444,494),(444,498),(445,473),(445,495),(445,498),(446,474),(446,496),(446,498),(447,475),(447,497),(447,498),(448,476),(448,494),(448,499),(449,477),(449,495),(449,499),(450,478),(450,496),(450,499),(451,479),(451,497),(451,499),(452,480),(452,498),(452,499),(453,481),(453,494),(453,500),(454,482),(454,495),(454,500),(455,483),(455,496),(455,500),(456,484),(456,497),(456,500),(457,485),(457,498),(457,500),(458,486),(458,499),(458,500),(459,487),(459,494),(459,501),(460,488),(460,495),(460,501),(461,489),(461,496),(461,501),(462,490),(462,497),(462,501),(463,491),(463,498),(463,501),(464,492),(464,499),(464,501),(465,493),(465,500),(465,501),(466,502),(466,505),(467,503),(467,505),(468,504),(468,505),(469,502),(469,504),(470,503),(470,504),(471,502),(471,503),(472,502),(472,506),(473,503),(473,506),(474,504),(474,506),(475,505),(475,506),(476,502),(476,507),(477,503),(477,507),(478,504),(478,507),(479,505),(479,507),(480,506),(480,507),(481,502),(481,508),(482,503),(482,508),(483,504),(483,508),(484,505),(484,508),(485,506),(485,508),(486,507),(486,508),(487,502),(487,509),(488,503),(488,509),(489,504),(489,509),(490,505),(490,509),(491,506),(491,509),(492,507),(492,509),(493,508),(493,509),(494,502),(494,510),(495,503),(495,510),(496,504),(496,510),(497,505),(497,510),(498,506),(498,510),(499,507),(499,510),(500,508),(500,510),(501,509),(501,510),(502,511),(503,511),(504,511),(505,511),(506,511),(507,511),(508,511),(509,511),(510,511)],512)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)=>([(0,1)],2)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(3,10),(4,6),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(10,2),(10,11),(11,1),(11,8)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,8),(2,7),(2,9),(3,7),(3,10),(4,6),(5,2),(5,3),(5,6),(6,9),(6,10),(7,11),(9,11),(10,1),(10,11),(11,8)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,7),(1,9),(2,7),(2,8),(3,6),(4,10),(5,3),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,1),(10,2),(10,6)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10),(10,11)],12)=>([(0,1)],2)
([(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),(6,11),(7,11),(8,11),(9,11),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,10),(10,9),(11,9)],12)=>([(0,1)],2)
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,11),(2,10),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(7,12),(8,2),(8,12),(9,1),(9,12),(10,6),(11,6),(12,10),(12,11)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(2,9),(2,10),(3,6),(3,8),(4,6),(4,7),(5,2),(5,7),(5,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,11),(6,10),(7,10),(8,12),(9,12),(10,11),(11,8),(11,9)],13)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,10),(4,9),(5,8),(6,11),(7,9),(7,10),(9,12),(10,12),(11,8),(12,11)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,12),(10,12),(11,9),(11,10)],13)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(11,12),(12,10)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,11),(9,12),(11,12),(12,10)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(10,12),(11,12),(12,9)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,10),(6,11),(7,11),(8,12),(9,12),(11,8),(11,9),(12,10)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,10),(9,10),(9,11),(10,12),(11,12)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,9),(5,9),(6,7),(6,10),(7,12),(8,11),(9,10),(10,12),(12,11)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,10),(9,12),(10,12),(12,11)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,8),(2,9),(2,11),(3,6),(3,7),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,12),(7,12),(8,12),(9,12),(10,12),(11,12)],13)=>([(0,1)],2)
([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,12),(9,12),(10,3),(10,7),(11,2),(11,7),(12,1)],13)=>([(0,1),(0,2),(0,3),(0,4),(1,15),(1,16),(1,19),(2,14),(2,16),(2,18),(3,14),(3,15),(3,17),(4,5),(4,6),(4,17),(4,18),(4,19),(5,10),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(6,13),(7,24),(7,27),(7,29),(8,25),(8,28),(8,29),(9,26),(9,27),(9,28),(10,24),(10,30),(10,32),(11,25),(11,31),(11,32),(12,26),(12,30),(12,31),(13,24),(13,25),(13,26),(14,20),(14,23),(15,20),(15,21),(16,20),(16,22),(17,7),(17,10),(17,21),(17,23),(18,8),(18,11),(18,22),(18,23),(19,9),(19,12),(19,21),(19,22),(20,38),(21,27),(21,30),(21,38),(22,28),(22,31),(22,38),(23,29),(23,32),(23,38),(24,35),(24,37),(25,36),(25,37),(26,35),(26,36),(27,33),(27,35),(28,33),(28,36),(29,33),(29,37),(30,34),(30,35),(31,34),(31,36),(32,34),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,33),(38,34)],40)
([(0,8),(1,12),(2,11),(3,11),(5,10),(6,9),(7,1),(7,10),(8,6),(9,5),(9,7),(10,12),(11,4),(12,2),(12,3)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,31),(2,32),(2,33),(2,34),(2,35),(2,36),(2,37),(2,45),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(3,37),(3,44),(4,20),(4,21),(4,22),(4,23),(4,24),(4,30),(4,36),(4,43),(5,16),(5,17),(5,18),(5,19),(5,24),(5,29),(5,35),(5,42),(6,13),(6,14),(6,15),(6,19),(6,23),(6,28),(6,34),(6,41),(7,11),(7,12),(7,15),(7,18),(7,22),(7,27),(7,33),(7,40),(8,10),(8,12),(8,14),(8,17),(8,21),(8,26),(8,32),(8,39),(9,10),(9,11),(9,13),(9,16),(9,20),(9,25),(9,31),(9,38),(10,46),(10,49),(10,52),(10,58),(10,68),(10,83),(10,104),(11,46),(11,47),(11,50),(11,56),(11,66),(11,81),(11,102),(12,46),(12,48),(12,51),(12,57),(12,67),(12,82),(12,103),(13,47),(13,49),(13,53),(13,59),(13,69),(13,84),(13,105),(14,48),(14,49),(14,54),(14,60),(14,70),(14,85),(14,106),(15,47),(15,48),(15,55),(15,61),(15,71),(15,86),(15,107),(16,50),(16,52),(16,53),(16,62),(16,72),(16,87),(16,108),(17,51),(17,52),(17,54),(17,63),(17,73),(17,88),(17,109),(18,50),(18,51),(18,55),(18,64),(18,74),(18,89),(18,110),(19,53),(19,54),(19,55),(19,65),(19,75),(19,90),(19,111),(20,56),(20,58),(20,59),(20,62),(20,76),(20,91),(20,112),(21,57),(21,58),(21,60),(21,63),(21,77),(21,92),(21,113),(22,56),(22,57),(22,61),(22,64),(22,78),(22,93),(22,114),(23,59),(23,60),(23,61),(23,65),(23,79),(23,94),(23,115),(24,62),(24,63),(24,64),(24,65),(24,80),(24,95),(24,116),(25,66),(25,68),(25,69),(25,72),(25,76),(25,96),(25,117),(26,67),(26,68),(26,70),(26,73),(26,77),(26,97),(26,118),(27,66),(27,67),(27,71),(27,74),(27,78),(27,98),(27,119),(28,69),(28,70),(28,71),(28,75),(28,79),(28,99),(28,120),(29,72),(29,73),(29,74),(29,75),(29,80),(29,100),(29,121),(30,76),(30,77),(30,78),(30,79),(30,80),(30,101),(30,122),(31,81),(31,83),(31,84),(31,87),(31,91),(31,96),(31,123),(32,82),(32,83),(32,85),(32,88),(32,92),(32,97),(32,124),(33,81),(33,82),(33,86),(33,89),(33,93),(33,98),(33,125),(34,84),(34,85),(34,86),(34,90),(34,94),(34,99),(34,126),(35,87),(35,88),(35,89),(35,90),(35,95),(35,100),(35,127),(36,91),(36,92),(36,93),(36,94),(36,95),(36,101),(36,128),(37,96),(37,97),(37,98),(37,99),(37,100),(37,101),(37,129),(38,102),(38,104),(38,105),(38,108),(38,112),(38,117),(38,123),(39,103),(39,104),(39,106),(39,109),(39,113),(39,118),(39,124),(40,102),(40,103),(40,107),(40,110),(40,114),(40,119),(40,125),(41,105),(41,106),(41,107),(41,111),(41,115),(41,120),(41,126),(42,108),(42,109),(42,110),(42,111),(42,116),(42,121),(42,127),(43,112),(43,113),(43,114),(43,115),(43,116),(43,122),(43,128),(44,117),(44,118),(44,119),(44,120),(44,121),(44,122),(44,129),(45,123),(45,124),(45,125),(45,126),(45,127),(45,128),(45,129),(46,133),(46,134),(46,144),(46,154),(46,174),(46,209),(47,130),(47,134),(47,141),(47,151),(47,171),(47,206),(48,131),(48,134),(48,142),(48,152),(48,172),(48,207),(49,132),(49,134),(49,143),(49,153),(49,173),(49,208),(50,130),(50,133),(50,135),(50,145),(50,165),(50,200),(51,131),(51,133),(51,136),(51,146),(51,166),(51,201),(52,132),(52,133),(52,137),(52,147),(52,167),(52,202),(53,130),(53,132),(53,138),(53,148),(53,168),(53,203),(54,131),(54,132),(54,139),(54,149),(54,169),(54,204),(55,130),(55,131),(55,140),(55,150),(55,170),(55,205),(56,135),(56,141),(56,144),(56,155),(56,175),(56,210),(57,136),(57,142),(57,144),(57,156),(57,176),(57,211),(58,137),(58,143),(58,144),(58,157),(58,177),(58,212),(59,138),(59,141),(59,143),(59,158),(59,178),(59,213),(60,139),(60,142),(60,143),(60,159),(60,179),(60,214),(61,140),(61,141),(61,142),(61,160),(61,180),(61,215),(62,135),(62,137),(62,138),(62,161),(62,181),(62,216),(63,136),(63,137),(63,139),(63,162),(63,182),(63,217),(64,135),(64,136),(64,140),(64,163),(64,183),(64,218),(65,138),(65,139),(65,140),(65,164),(65,184),(65,219),(66,145),(66,151),(66,154),(66,155),(66,185),(66,220),(67,146),(67,152),(67,154),(67,156),(67,186),(67,221),(68,147),(68,153),(68,154),(68,157),(68,187),(68,222),(69,148),(69,151),(69,153),(69,158),(69,188),(69,223),(70,149),(70,152),(70,153),(70,159),(70,189),(70,224),(71,150),(71,151),(71,152),(71,160),(71,190),(71,225),(72,145),(72,147),(72,148),(72,161),(72,191),(72,226),(73,146),(73,147),(73,149),(73,162),(73,192),(73,227),(74,145),(74,146),(74,150),(74,163),(74,193),(74,228),(75,148),(75,149),(75,150),(75,164),(75,194),(75,229),(76,155),(76,157),(76,158),(76,161),(76,195),(76,230),(77,156),(77,157),(77,159),(77,162),(77,196),(77,231),(78,155),(78,156),(78,160),(78,163),(78,197),(78,232),(79,158),(79,159),(79,160),(79,164),(79,198),(79,233),(80,161),(80,162),(80,163),(80,164),(80,199),(80,234),(81,165),(81,171),(81,174),(81,175),(81,185),(81,235),(82,166),(82,172),(82,174),(82,176),(82,186),(82,236),(83,167),(83,173),(83,174),(83,177),(83,187),(83,237),(84,168),(84,171),(84,173),(84,178),(84,188),(84,238),(85,169),(85,172),(85,173),(85,179),(85,189),(85,239),(86,170),(86,171),(86,172),(86,180),(86,190),(86,240),(87,165),(87,167),(87,168),(87,181),(87,191),(87,241),(88,166),(88,167),(88,169),(88,182),(88,192),(88,242),(89,165),(89,166),(89,170),(89,183),(89,193),(89,243),(90,168),(90,169),(90,170),(90,184),(90,194),(90,244),(91,175),(91,177),(91,178),(91,181),(91,195),(91,245),(92,176),(92,177),(92,179),(92,182),(92,196),(92,246),(93,175),(93,176),(93,180),(93,183),(93,197),(93,247),(94,178),(94,179),(94,180),(94,184),(94,198),(94,248),(95,181),(95,182),(95,183),(95,184),(95,199),(95,249),(96,185),(96,187),(96,188),(96,191),(96,195),(96,250),(97,186),(97,187),(97,189),(97,192),(97,196),(97,251),(98,185),(98,186),(98,190),(98,193),(98,197),(98,252),(99,188),(99,189),(99,190),(99,194),(99,198),(99,253),(100,191),(100,192),(100,193),(100,194),(100,199),(100,254),(101,195),(101,196),(101,197),(101,198),(101,199),(101,255),(102,200),(102,206),(102,209),(102,210),(102,220),(102,235),(103,201),(103,207),(103,209),(103,211),(103,221),(103,236),(104,202),(104,208),(104,209),(104,212),(104,222),(104,237),(105,203),(105,206),(105,208),(105,213),(105,223),(105,238),(106,204),(106,207),(106,208),(106,214),(106,224),(106,239),(107,205),(107,206),(107,207),(107,215),(107,225),(107,240),(108,200),(108,202),(108,203),(108,216),(108,226),(108,241),(109,201),(109,202),(109,204),(109,217),(109,227),(109,242),(110,200),(110,201),(110,205),(110,218),(110,228),(110,243),(111,203),(111,204),(111,205),(111,219),(111,229),(111,244),(112,210),(112,212),(112,213),(112,216),(112,230),(112,245),(113,211),(113,212),(113,214),(113,217),(113,231),(113,246),(114,210),(114,211),(114,215),(114,218),(114,232),(114,247),(115,213),(115,214),(115,215),(115,219),(115,233),(115,248),(116,216),(116,217),(116,218),(116,219),(116,234),(116,249),(117,220),(117,222),(117,223),(117,226),(117,230),(117,250),(118,221),(118,222),(118,224),(118,227),(118,231),(118,251),(119,220),(119,221),(119,225),(119,228),(119,232),(119,252),(120,223),(120,224),(120,225),(120,229),(120,233),(120,253),(121,226),(121,227),(121,228),(121,229),(121,234),(121,254),(122,230),(122,231),(122,232),(122,233),(122,234),(122,255),(123,235),(123,237),(123,238),(123,241),(123,245),(123,250),(124,236),(124,237),(124,239),(124,242),(124,246),(124,251),(125,235),(125,236),(125,240),(125,243),(125,247),(125,252),(126,238),(126,239),(126,240),(126,244),(126,248),(126,253),(127,241),(127,242),(127,243),(127,244),(127,249),(127,254),(128,245),(128,246),(128,247),(128,248),(128,249),(128,255),(129,250),(129,251),(129,252),(129,253),(129,254),(129,255),(130,266),(130,271),(130,276),(130,307),(130,342),(131,267),(131,272),(131,276),(131,308),(131,343),(132,268),(132,273),(132,276),(132,309),(132,344),(133,269),(133,274),(133,276),(133,310),(133,345),(134,270),(134,275),(134,276),(134,311),(134,346),(135,256),(135,271),(135,274),(135,297),(135,332),(136,257),(136,272),(136,274),(136,298),(136,333),(137,258),(137,273),(137,274),(137,299),(137,334),(138,259),(138,271),(138,273),(138,300),(138,335),(139,260),(139,272),(139,273),(139,301),(139,336),(140,261),(140,271),(140,272),(140,302),(140,337),(141,262),(141,271),(141,275),(141,303),(141,338),(142,263),(142,272),(142,275),(142,304),(142,339),(143,264),(143,273),(143,275),(143,305),(143,340),(144,265),(144,274),(144,275),(144,306),(144,341),(145,256),(145,266),(145,269),(145,277),(145,312),(146,257),(146,267),(146,269),(146,278),(146,313),(147,258),(147,268),(147,269),(147,279),(147,314),(148,259),(148,266),(148,268),(148,280),(148,315),(149,260),(149,267),(149,268),(149,281),(149,316),(150,261),(150,266),(150,267),(150,282),(150,317),(151,262),(151,266),(151,270),(151,283),(151,318),(152,263),(152,267),(152,270),(152,284),(152,319),(153,264),(153,268),(153,270),(153,285),(153,320),(154,265),(154,269),(154,270),(154,286),(154,321),(155,256),(155,262),(155,265),(155,287),(155,322),(156,257),(156,263),(156,265),(156,288),(156,323),(157,258),(157,264),(157,265),(157,289),(157,324),(158,259),(158,262),(158,264),(158,290),(158,325),(159,260),(159,263),(159,264),(159,291),(159,326),(160,261),(160,262),(160,263),(160,292),(160,327),(161,256),(161,258),(161,259),(161,293),(161,328),(162,257),(162,258),(162,260),(162,294),(162,329),(163,256),(163,257),(163,261),(163,295),(163,330),(164,259),(164,260),(164,261),(164,296),(164,331),(165,277),(165,297),(165,307),(165,310),(165,347),(166,278),(166,298),(166,308),(166,310),(166,348),(167,279),(167,299),(167,309),(167,310),(167,349),(168,280),(168,300),(168,307),(168,309),(168,350),(169,281),(169,301),(169,308),(169,309),(169,351),(170,282),(170,302),(170,307),(170,308),(170,352),(171,283),(171,303),(171,307),(171,311),(171,353),(172,284),(172,304),(172,308),(172,311),(172,354),(173,285),(173,305),(173,309),(173,311),(173,355),(174,286),(174,306),(174,310),(174,311),(174,356),(175,287),(175,297),(175,303),(175,306),(175,357),(176,288),(176,298),(176,304),(176,306),(176,358),(177,289),(177,299),(177,305),(177,306),(177,359),(178,290),(178,300),(178,303),(178,305),(178,360),(179,291),(179,301),(179,304),(179,305),(179,361),(180,292),(180,302),(180,303),(180,304),(180,362),(181,293),(181,297),(181,299),(181,300),(181,363),(182,294),(182,298),(182,299),(182,301),(182,364),(183,295),(183,297),(183,298),(183,302),(183,365),(184,296),(184,300),(184,301),(184,302),(184,366),(185,277),(185,283),(185,286),(185,287),(185,367),(186,278),(186,284),(186,286),(186,288),(186,368),(187,279),(187,285),(187,286),(187,289),(187,369),(188,280),(188,283),(188,285),(188,290),(188,370),(189,281),(189,284),(189,285),(189,291),(189,371),(190,282),(190,283),(190,284),(190,292),(190,372),(191,277),(191,279),(191,280),(191,293),(191,373),(192,278),(192,279),(192,281),(192,294),(192,374),(193,277),(193,278),(193,282),(193,295),(193,375),(194,280),(194,281),(194,282),(194,296),(194,376),(195,287),(195,289),(195,290),(195,293),(195,377),(196,288),(196,289),(196,291),(196,294),(196,378),(197,287),(197,288),(197,292),(197,295),(197,379),(198,290),(198,291),(198,292),(198,296),(198,380),(199,293),(199,294),(199,295),(199,296),(199,381),(200,312),(200,332),(200,342),(200,345),(200,347),(201,313),(201,333),(201,343),(201,345),(201,348),(202,314),(202,334),(202,344),(202,345),(202,349),(203,315),(203,335),(203,342),(203,344),(203,350),(204,316),(204,336),(204,343),(204,344),(204,351),(205,317),(205,337),(205,342),(205,343),(205,352),(206,318),(206,338),(206,342),(206,346),(206,353),(207,319),(207,339),(207,343),(207,346),(207,354),(208,320),(208,340),(208,344),(208,346),(208,355),(209,321),(209,341),(209,345),(209,346),(209,356),(210,322),(210,332),(210,338),(210,341),(210,357),(211,323),(211,333),(211,339),(211,341),(211,358),(212,324),(212,334),(212,340),(212,341),(212,359),(213,325),(213,335),(213,338),(213,340),(213,360),(214,326),(214,336),(214,339),(214,340),(214,361),(215,327),(215,337),(215,338),(215,339),(215,362),(216,328),(216,332),(216,334),(216,335),(216,363),(217,329),(217,333),(217,334),(217,336),(217,364),(218,330),(218,332),(218,333),(218,337),(218,365),(219,331),(219,335),(219,336),(219,337),(219,366),(220,312),(220,318),(220,321),(220,322),(220,367),(221,313),(221,319),(221,321),(221,323),(221,368),(222,314),(222,320),(222,321),(222,324),(222,369),(223,315),(223,318),(223,320),(223,325),(223,370),(224,316),(224,319),(224,320),(224,326),(224,371),(225,317),(225,318),(225,319),(225,327),(225,372),(226,312),(226,314),(226,315),(226,328),(226,373),(227,313),(227,314),(227,316),(227,329),(227,374),(228,312),(228,313),(228,317),(228,330),(228,375),(229,315),(229,316),(229,317),(229,331),(229,376),(230,322),(230,324),(230,325),(230,328),(230,377),(231,323),(231,324),(231,326),(231,329),(231,378),(232,322),(232,323),(232,327),(232,330),(232,379),(233,325),(233,326),(233,327),(233,331),(233,380),(234,328),(234,329),(234,330),(234,331),(234,381),(235,347),(235,353),(235,356),(235,357),(235,367),(236,348),(236,354),(236,356),(236,358),(236,368),(237,349),(237,355),(237,356),(237,359),(237,369),(238,350),(238,353),(238,355),(238,360),(238,370),(239,351),(239,354),(239,355),(239,361),(239,371),(240,352),(240,353),(240,354),(240,362),(240,372),(241,347),(241,349),(241,350),(241,363),(241,373),(242,348),(242,349),(242,351),(242,364),(242,374),(243,347),(243,348),(243,352),(243,365),(243,375),(244,350),(244,351),(244,352),(244,366),(244,376),(245,357),(245,359),(245,360),(245,363),(245,377),(246,358),(246,359),(246,361),(246,364),(246,378),(247,357),(247,358),(247,362),(247,365),(247,379),(248,360),(248,361),(248,362),(248,366),(248,380),(249,363),(249,364),(249,365),(249,366),(249,381),(250,367),(250,369),(250,370),(250,373),(250,377),(251,368),(251,369),(251,371),(251,374),(251,378),(252,367),(252,368),(252,372),(252,375),(252,379),(253,370),(253,371),(253,372),(253,376),(253,380),(254,373),(254,374),(254,375),(254,376),(254,381),(255,377),(255,378),(255,379),(255,380),(255,381),(256,417),(256,438),(256,459),(256,462),(257,418),(257,439),(257,460),(257,462),(258,419),(258,440),(258,461),(258,462),(259,420),(259,441),(259,459),(259,461),(260,421),(260,442),(260,460),(260,461),(261,422),(261,443),(261,459),(261,460),(262,423),(262,444),(262,459),(262,463),(263,424),(263,445),(263,460),(263,463),(264,425),(264,446),(264,461),(264,463),(265,426),(265,447),(265,462),(265,463),(266,427),(266,448),(266,459),(266,464),(267,428),(267,449),(267,460),(267,464),(268,429),(268,450),(268,461),(268,464),(269,430),(269,451),(269,462),(269,464),(270,431),(270,452),(270,463),(270,464),(271,432),(271,453),(271,459),(271,465),(272,433),(272,454),(272,460),(272,465),(273,434),(273,455),(273,461),(273,465),(274,435),(274,456),(274,462),(274,465),(275,436),(275,457),(275,463),(275,465),(276,437),(276,458),(276,464),(276,465),(277,382),(277,438),(277,448),(277,451),(278,383),(278,439),(278,449),(278,451),(279,384),(279,440),(279,450),(279,451),(280,385),(280,441),(280,448),(280,450),(281,386),(281,442),(281,449),(281,450),(282,387),(282,443),(282,448),(282,449),(283,388),(283,444),(283,448),(283,452),(284,389),(284,445),(284,449),(284,452),(285,390),(285,446),(285,450),(285,452),(286,391),(286,447),(286,451),(286,452),(287,392),(287,438),(287,444),(287,447),(288,393),(288,439),(288,445),(288,447),(289,394),(289,440),(289,446),(289,447),(290,395),(290,441),(290,444),(290,446),(291,396),(291,442),(291,445),(291,446),(292,397),(292,443),(292,444),(292,445),(293,398),(293,438),(293,440),(293,441),(294,399),(294,439),(294,440),(294,442),(295,400),(295,438),(295,439),(295,443),(296,401),(296,441),(296,442),(296,443),(297,402),(297,438),(297,453),(297,456),(298,403),(298,439),(298,454),(298,456),(299,404),(299,440),(299,455),(299,456),(300,405),(300,441),(300,453),(300,455),(301,406),(301,442),(301,454),(301,455),(302,407),(302,443),(302,453),(302,454),(303,408),(303,444),(303,453),(303,457),(304,409),(304,445),(304,454),(304,457),(305,410),(305,446),(305,455),(305,457),(306,411),(306,447),(306,456),(306,457),(307,412),(307,448),(307,453),(307,458),(308,413),(308,449),(308,454),(308,458),(309,414),(309,450),(309,455),(309,458),(310,415),(310,451),(310,456),(310,458),(311,416),(311,452),(311,457),(311,458),(312,382),(312,417),(312,427),(312,430),(313,383),(313,418),(313,428),(313,430),(314,384),(314,419),(314,429),(314,430),(315,385),(315,420),(315,427),(315,429),(316,386),(316,421),(316,428),(316,429),(317,387),(317,422),(317,427),(317,428),(318,388),(318,423),(318,427),(318,431),(319,389),(319,424),(319,428),(319,431),(320,390),(320,425),(320,429),(320,431),(321,391),(321,426),(321,430),(321,431),(322,392),(322,417),(322,423),(322,426),(323,393),(323,418),(323,424),(323,426),(324,394),(324,419),(324,425),(324,426),(325,395),(325,420),(325,423),(325,425),(326,396),(326,421),(326,424),(326,425),(327,397),(327,422),(327,423),(327,424),(328,398),(328,417),(328,419),(328,420),(329,399),(329,418),(329,419),(329,421),(330,400),(330,417),(330,418),(330,422),(331,401),(331,420),(331,421),(331,422),(332,402),(332,417),(332,432),(332,435),(333,403),(333,418),(333,433),(333,435),(334,404),(334,419),(334,434),(334,435),(335,405),(335,420),(335,432),(335,434),(336,406),(336,421),(336,433),(336,434),(337,407),(337,422),(337,432),(337,433),(338,408),(338,423),(338,432),(338,436),(339,409),(339,424),(339,433),(339,436),(340,410),(340,425),(340,434),(340,436),(341,411),(341,426),(341,435),(341,436),(342,412),(342,427),(342,432),(342,437),(343,413),(343,428),(343,433),(343,437),(344,414),(344,429),(344,434),(344,437),(345,415),(345,430),(345,435),(345,437),(346,416),(346,431),(346,436),(346,437),(347,382),(347,402),(347,412),(347,415),(348,383),(348,403),(348,413),(348,415),(349,384),(349,404),(349,414),(349,415),(350,385),(350,405),(350,412),(350,414),(351,386),(351,406),(351,413),(351,414),(352,387),(352,407),(352,412),(352,413),(353,388),(353,408),(353,412),(353,416),(354,389),(354,409),(354,413),(354,416),(355,390),(355,410),(355,414),(355,416),(356,391),(356,411),(356,415),(356,416),(357,392),(357,402),(357,408),(357,411),(358,393),(358,403),(358,409),(358,411),(359,394),(359,404),(359,410),(359,411),(360,395),(360,405),(360,408),(360,410),(361,396),(361,406),(361,409),(361,410),(362,397),(362,407),(362,408),(362,409),(363,398),(363,402),(363,404),(363,405),(364,399),(364,403),(364,404),(364,406),(365,400),(365,402),(365,403),(365,407),(366,401),(366,405),(366,406),(366,407),(367,382),(367,388),(367,391),(367,392),(368,383),(368,389),(368,391),(368,393),(369,384),(369,390),(369,391),(369,394),(370,385),(370,388),(370,390),(370,395),(371,386),(371,389),(371,390),(371,396),(372,387),(372,388),(372,389),(372,397),(373,382),(373,384),(373,385),(373,398),(374,383),(374,384),(374,386),(374,399),(375,382),(375,383),(375,387),(375,400),(376,385),(376,386),(376,387),(376,401),(377,392),(377,394),(377,395),(377,398),(378,393),(378,394),(378,396),(378,399),(379,392),(379,393),(379,397),(379,400),(380,395),(380,396),(380,397),(380,401),(381,398),(381,399),(381,400),(381,401),(382,466),(382,476),(382,479),(383,467),(383,477),(383,479),(384,468),(384,478),(384,479),(385,469),(385,476),(385,478),(386,470),(386,477),(386,478),(387,471),(387,476),(387,477),(388,472),(388,476),(388,480),(389,473),(389,477),(389,480),(390,474),(390,478),(390,480),(391,475),(391,479),(391,480),(392,466),(392,472),(392,475),(393,467),(393,473),(393,475),(394,468),(394,474),(394,475),(395,469),(395,472),(395,474),(396,470),(396,473),(396,474),(397,471),(397,472),(397,473),(398,466),(398,468),(398,469),(399,467),(399,468),(399,470),(400,466),(400,467),(400,471),(401,469),(401,470),(401,471),(402,466),(402,481),(402,484),(403,467),(403,482),(403,484),(404,468),(404,483),(404,484),(405,469),(405,481),(405,483),(406,470),(406,482),(406,483),(407,471),(407,481),(407,482),(408,472),(408,481),(408,485),(409,473),(409,482),(409,485),(410,474),(410,483),(410,485),(411,475),(411,484),(411,485),(412,476),(412,481),(412,486),(413,477),(413,482),(413,486),(414,478),(414,483),(414,486),(415,479),(415,484),(415,486),(416,480),(416,485),(416,486),(417,466),(417,487),(417,490),(418,467),(418,488),(418,490),(419,468),(419,489),(419,490),(420,469),(420,487),(420,489),(421,470),(421,488),(421,489),(422,471),(422,487),(422,488),(423,472),(423,487),(423,491),(424,473),(424,488),(424,491),(425,474),(425,489),(425,491),(426,475),(426,490),(426,491),(427,476),(427,487),(427,492),(428,477),(428,488),(428,492),(429,478),(429,489),(429,492),(430,479),(430,490),(430,492),(431,480),(431,491),(431,492),(432,481),(432,487),(432,493),(433,482),(433,488),(433,493),(434,483),(434,489),(434,493),(435,484),(435,490),(435,493),(436,485),(436,491),(436,493),(437,486),(437,492),(437,493),(438,466),(438,494),(438,497),(439,467),(439,495),(439,497),(440,468),(440,496),(440,497),(441,469),(441,494),(441,496),(442,470),(442,495),(442,496),(443,471),(443,494),(443,495),(444,472),(444,494),(444,498),(445,473),(445,495),(445,498),(446,474),(446,496),(446,498),(447,475),(447,497),(447,498),(448,476),(448,494),(448,499),(449,477),(449,495),(449,499),(450,478),(450,496),(450,499),(451,479),(451,497),(451,499),(452,480),(452,498),(452,499),(453,481),(453,494),(453,500),(454,482),(454,495),(454,500),(455,483),(455,496),(455,500),(456,484),(456,497),(456,500),(457,485),(457,498),(457,500),(458,486),(458,499),(458,500),(459,487),(459,494),(459,501),(460,488),(460,495),(460,501),(461,489),(461,496),(461,501),(462,490),(462,497),(462,501),(463,491),(463,498),(463,501),(464,492),(464,499),(464,501),(465,493),(465,500),(465,501),(466,502),(466,505),(467,503),(467,505),(468,504),(468,505),(469,502),(469,504),(470,503),(470,504),(471,502),(471,503),(472,502),(472,506),(473,503),(473,506),(474,504),(474,506),(475,505),(475,506),(476,502),(476,507),(477,503),(477,507),(478,504),(478,507),(479,505),(479,507),(480,506),(480,507),(481,502),(481,508),(482,503),(482,508),(483,504),(483,508),(484,505),(484,508),(485,506),(485,508),(486,507),(486,508),(487,502),(487,509),(488,503),(488,509),(489,504),(489,509),(490,505),(490,509),(491,506),(491,509),(492,507),(492,509),(493,508),(493,509),(494,502),(494,510),(495,503),(495,510),(496,504),(496,510),(497,505),(497,510),(498,506),(498,510),(499,507),(499,510),(500,508),(500,510),(501,509),(501,510),(502,511),(503,511),(504,511),(505,511),(506,511),(507,511),(508,511),(509,511),(510,511)],512)
([(0,8),(2,11),(3,12),(4,10),(5,9),(6,4),(6,12),(7,1),(8,5),(9,3),(9,6),(10,11),(11,7),(12,2),(12,10)],13)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,31),(2,32),(2,33),(2,34),(2,35),(2,36),(2,37),(2,45),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(3,37),(3,44),(4,20),(4,21),(4,22),(4,23),(4,24),(4,30),(4,36),(4,43),(5,16),(5,17),(5,18),(5,19),(5,24),(5,29),(5,35),(5,42),(6,13),(6,14),(6,15),(6,19),(6,23),(6,28),(6,34),(6,41),(7,11),(7,12),(7,15),(7,18),(7,22),(7,27),(7,33),(7,40),(8,10),(8,12),(8,14),(8,17),(8,21),(8,26),(8,32),(8,39),(9,10),(9,11),(9,13),(9,16),(9,20),(9,25),(9,31),(9,38),(10,46),(10,49),(10,52),(10,58),(10,68),(10,83),(10,104),(11,46),(11,47),(11,50),(11,56),(11,66),(11,81),(11,102),(12,46),(12,48),(12,51),(12,57),(12,67),(12,82),(12,103),(13,47),(13,49),(13,53),(13,59),(13,69),(13,84),(13,105),(14,48),(14,49),(14,54),(14,60),(14,70),(14,85),(14,106),(15,47),(15,48),(15,55),(15,61),(15,71),(15,86),(15,107),(16,50),(16,52),(16,53),(16,62),(16,72),(16,87),(16,108),(17,51),(17,52),(17,54),(17,63),(17,73),(17,88),(17,109),(18,50),(18,51),(18,55),(18,64),(18,74),(18,89),(18,110),(19,53),(19,54),(19,55),(19,65),(19,75),(19,90),(19,111),(20,56),(20,58),(20,59),(20,62),(20,76),(20,91),(20,112),(21,57),(21,58),(21,60),(21,63),(21,77),(21,92),(21,113),(22,56),(22,57),(22,61),(22,64),(22,78),(22,93),(22,114),(23,59),(23,60),(23,61),(23,65),(23,79),(23,94),(23,115),(24,62),(24,63),(24,64),(24,65),(24,80),(24,95),(24,116),(25,66),(25,68),(25,69),(25,72),(25,76),(25,96),(25,117),(26,67),(26,68),(26,70),(26,73),(26,77),(26,97),(26,118),(27,66),(27,67),(27,71),(27,74),(27,78),(27,98),(27,119),(28,69),(28,70),(28,71),(28,75),(28,79),(28,99),(28,120),(29,72),(29,73),(29,74),(29,75),(29,80),(29,100),(29,121),(30,76),(30,77),(30,78),(30,79),(30,80),(30,101),(30,122),(31,81),(31,83),(31,84),(31,87),(31,91),(31,96),(31,123),(32,82),(32,83),(32,85),(32,88),(32,92),(32,97),(32,124),(33,81),(33,82),(33,86),(33,89),(33,93),(33,98),(33,125),(34,84),(34,85),(34,86),(34,90),(34,94),(34,99),(34,126),(35,87),(35,88),(35,89),(35,90),(35,95),(35,100),(35,127),(36,91),(36,92),(36,93),(36,94),(36,95),(36,101),(36,128),(37,96),(37,97),(37,98),(37,99),(37,100),(37,101),(37,129),(38,102),(38,104),(38,105),(38,108),(38,112),(38,117),(38,123),(39,103),(39,104),(39,106),(39,109),(39,113),(39,118),(39,124),(40,102),(40,103),(40,107),(40,110),(40,114),(40,119),(40,125),(41,105),(41,106),(41,107),(41,111),(41,115),(41,120),(41,126),(42,108),(42,109),(42,110),(42,111),(42,116),(42,121),(42,127),(43,112),(43,113),(43,114),(43,115),(43,116),(43,122),(43,128),(44,117),(44,118),(44,119),(44,120),(44,121),(44,122),(44,129),(45,123),(45,124),(45,125),(45,126),(45,127),(45,128),(45,129),(46,133),(46,134),(46,144),(46,154),(46,174),(46,209),(47,130),(47,134),(47,141),(47,151),(47,171),(47,206),(48,131),(48,134),(48,142),(48,152),(48,172),(48,207),(49,132),(49,134),(49,143),(49,153),(49,173),(49,208),(50,130),(50,133),(50,135),(50,145),(50,165),(50,200),(51,131),(51,133),(51,136),(51,146),(51,166),(51,201),(52,132),(52,133),(52,137),(52,147),(52,167),(52,202),(53,130),(53,132),(53,138),(53,148),(53,168),(53,203),(54,131),(54,132),(54,139),(54,149),(54,169),(54,204),(55,130),(55,131),(55,140),(55,150),(55,170),(55,205),(56,135),(56,141),(56,144),(56,155),(56,175),(56,210),(57,136),(57,142),(57,144),(57,156),(57,176),(57,211),(58,137),(58,143),(58,144),(58,157),(58,177),(58,212),(59,138),(59,141),(59,143),(59,158),(59,178),(59,213),(60,139),(60,142),(60,143),(60,159),(60,179),(60,214),(61,140),(61,141),(61,142),(61,160),(61,180),(61,215),(62,135),(62,137),(62,138),(62,161),(62,181),(62,216),(63,136),(63,137),(63,139),(63,162),(63,182),(63,217),(64,135),(64,136),(64,140),(64,163),(64,183),(64,218),(65,138),(65,139),(65,140),(65,164),(65,184),(65,219),(66,145),(66,151),(66,154),(66,155),(66,185),(66,220),(67,146),(67,152),(67,154),(67,156),(67,186),(67,221),(68,147),(68,153),(68,154),(68,157),(68,187),(68,222),(69,148),(69,151),(69,153),(69,158),(69,188),(69,223),(70,149),(70,152),(70,153),(70,159),(70,189),(70,224),(71,150),(71,151),(71,152),(71,160),(71,190),(71,225),(72,145),(72,147),(72,148),(72,161),(72,191),(72,226),(73,146),(73,147),(73,149),(73,162),(73,192),(73,227),(74,145),(74,146),(74,150),(74,163),(74,193),(74,228),(75,148),(75,149),(75,150),(75,164),(75,194),(75,229),(76,155),(76,157),(76,158),(76,161),(76,195),(76,230),(77,156),(77,157),(77,159),(77,162),(77,196),(77,231),(78,155),(78,156),(78,160),(78,163),(78,197),(78,232),(79,158),(79,159),(79,160),(79,164),(79,198),(79,233),(80,161),(80,162),(80,163),(80,164),(80,199),(80,234),(81,165),(81,171),(81,174),(81,175),(81,185),(81,235),(82,166),(82,172),(82,174),(82,176),(82,186),(82,236),(83,167),(83,173),(83,174),(83,177),(83,187),(83,237),(84,168),(84,171),(84,173),(84,178),(84,188),(84,238),(85,169),(85,172),(85,173),(85,179),(85,189),(85,239),(86,170),(86,171),(86,172),(86,180),(86,190),(86,240),(87,165),(87,167),(87,168),(87,181),(87,191),(87,241),(88,166),(88,167),(88,169),(88,182),(88,192),(88,242),(89,165),(89,166),(89,170),(89,183),(89,193),(89,243),(90,168),(90,169),(90,170),(90,184),(90,194),(90,244),(91,175),(91,177),(91,178),(91,181),(91,195),(91,245),(92,176),(92,177),(92,179),(92,182),(92,196),(92,246),(93,175),(93,176),(93,180),(93,183),(93,197),(93,247),(94,178),(94,179),(94,180),(94,184),(94,198),(94,248),(95,181),(95,182),(95,183),(95,184),(95,199),(95,249),(96,185),(96,187),(96,188),(96,191),(96,195),(96,250),(97,186),(97,187),(97,189),(97,192),(97,196),(97,251),(98,185),(98,186),(98,190),(98,193),(98,197),(98,252),(99,188),(99,189),(99,190),(99,194),(99,198),(99,253),(100,191),(100,192),(100,193),(100,194),(100,199),(100,254),(101,195),(101,196),(101,197),(101,198),(101,199),(101,255),(102,200),(102,206),(102,209),(102,210),(102,220),(102,235),(103,201),(103,207),(103,209),(103,211),(103,221),(103,236),(104,202),(104,208),(104,209),(104,212),(104,222),(104,237),(105,203),(105,206),(105,208),(105,213),(105,223),(105,238),(106,204),(106,207),(106,208),(106,214),(106,224),(106,239),(107,205),(107,206),(107,207),(107,215),(107,225),(107,240),(108,200),(108,202),(108,203),(108,216),(108,226),(108,241),(109,201),(109,202),(109,204),(109,217),(109,227),(109,242),(110,200),(110,201),(110,205),(110,218),(110,228),(110,243),(111,203),(111,204),(111,205),(111,219),(111,229),(111,244),(112,210),(112,212),(112,213),(112,216),(112,230),(112,245),(113,211),(113,212),(113,214),(113,217),(113,231),(113,246),(114,210),(114,211),(114,215),(114,218),(114,232),(114,247),(115,213),(115,214),(115,215),(115,219),(115,233),(115,248),(116,216),(116,217),(116,218),(116,219),(116,234),(116,249),(117,220),(117,222),(117,223),(117,226),(117,230),(117,250),(118,221),(118,222),(118,224),(118,227),(118,231),(118,251),(119,220),(119,221),(119,225),(119,228),(119,232),(119,252),(120,223),(120,224),(120,225),(120,229),(120,233),(120,253),(121,226),(121,227),(121,228),(121,229),(121,234),(121,254),(122,230),(122,231),(122,232),(122,233),(122,234),(122,255),(123,235),(123,237),(123,238),(123,241),(123,245),(123,250),(124,236),(124,237),(124,239),(124,242),(124,246),(124,251),(125,235),(125,236),(125,240),(125,243),(125,247),(125,252),(126,238),(126,239),(126,240),(126,244),(126,248),(126,253),(127,241),(127,242),(127,243),(127,244),(127,249),(127,254),(128,245),(128,246),(128,247),(128,248),(128,249),(128,255),(129,250),(129,251),(129,252),(129,253),(129,254),(129,255),(130,266),(130,271),(130,276),(130,307),(130,342),(131,267),(131,272),(131,276),(131,308),(131,343),(132,268),(132,273),(132,276),(132,309),(132,344),(133,269),(133,274),(133,276),(133,310),(133,345),(134,270),(134,275),(134,276),(134,311),(134,346),(135,256),(135,271),(135,274),(135,297),(135,332),(136,257),(136,272),(136,274),(136,298),(136,333),(137,258),(137,273),(137,274),(137,299),(137,334),(138,259),(138,271),(138,273),(138,300),(138,335),(139,260),(139,272),(139,273),(139,301),(139,336),(140,261),(140,271),(140,272),(140,302),(140,337),(141,262),(141,271),(141,275),(141,303),(141,338),(142,263),(142,272),(142,275),(142,304),(142,339),(143,264),(143,273),(143,275),(143,305),(143,340),(144,265),(144,274),(144,275),(144,306),(144,341),(145,256),(145,266),(145,269),(145,277),(145,312),(146,257),(146,267),(146,269),(146,278),(146,313),(147,258),(147,268),(147,269),(147,279),(147,314),(148,259),(148,266),(148,268),(148,280),(148,315),(149,260),(149,267),(149,268),(149,281),(149,316),(150,261),(150,266),(150,267),(150,282),(150,317),(151,262),(151,266),(151,270),(151,283),(151,318),(152,263),(152,267),(152,270),(152,284),(152,319),(153,264),(153,268),(153,270),(153,285),(153,320),(154,265),(154,269),(154,270),(154,286),(154,321),(155,256),(155,262),(155,265),(155,287),(155,322),(156,257),(156,263),(156,265),(156,288),(156,323),(157,258),(157,264),(157,265),(157,289),(157,324),(158,259),(158,262),(158,264),(158,290),(158,325),(159,260),(159,263),(159,264),(159,291),(159,326),(160,261),(160,262),(160,263),(160,292),(160,327),(161,256),(161,258),(161,259),(161,293),(161,328),(162,257),(162,258),(162,260),(162,294),(162,329),(163,256),(163,257),(163,261),(163,295),(163,330),(164,259),(164,260),(164,261),(164,296),(164,331),(165,277),(165,297),(165,307),(165,310),(165,347),(166,278),(166,298),(166,308),(166,310),(166,348),(167,279),(167,299),(167,309),(167,310),(167,349),(168,280),(168,300),(168,307),(168,309),(168,350),(169,281),(169,301),(169,308),(169,309),(169,351),(170,282),(170,302),(170,307),(170,308),(170,352),(171,283),(171,303),(171,307),(171,311),(171,353),(172,284),(172,304),(172,308),(172,311),(172,354),(173,285),(173,305),(173,309),(173,311),(173,355),(174,286),(174,306),(174,310),(174,311),(174,356),(175,287),(175,297),(175,303),(175,306),(175,357),(176,288),(176,298),(176,304),(176,306),(176,358),(177,289),(177,299),(177,305),(177,306),(177,359),(178,290),(178,300),(178,303),(178,305),(178,360),(179,291),(179,301),(179,304),(179,305),(179,361),(180,292),(180,302),(180,303),(180,304),(180,362),(181,293),(181,297),(181,299),(181,300),(181,363),(182,294),(182,298),(182,299),(182,301),(182,364),(183,295),(183,297),(183,298),(183,302),(183,365),(184,296),(184,300),(184,301),(184,302),(184,366),(185,277),(185,283),(185,286),(185,287),(185,367),(186,278),(186,284),(186,286),(186,288),(186,368),(187,279),(187,285),(187,286),(187,289),(187,369),(188,280),(188,283),(188,285),(188,290),(188,370),(189,281),(189,284),(189,285),(189,291),(189,371),(190,282),(190,283),(190,284),(190,292),(190,372),(191,277),(191,279),(191,280),(191,293),(191,373),(192,278),(192,279),(192,281),(192,294),(192,374),(193,277),(193,278),(193,282),(193,295),(193,375),(194,280),(194,281),(194,282),(194,296),(194,376),(195,287),(195,289),(195,290),(195,293),(195,377),(196,288),(196,289),(196,291),(196,294),(196,378),(197,287),(197,288),(197,292),(197,295),(197,379),(198,290),(198,291),(198,292),(198,296),(198,380),(199,293),(199,294),(199,295),(199,296),(199,381),(200,312),(200,332),(200,342),(200,345),(200,347),(201,313),(201,333),(201,343),(201,345),(201,348),(202,314),(202,334),(202,344),(202,345),(202,349),(203,315),(203,335),(203,342),(203,344),(203,350),(204,316),(204,336),(204,343),(204,344),(204,351),(205,317),(205,337),(205,342),(205,343),(205,352),(206,318),(206,338),(206,342),(206,346),(206,353),(207,319),(207,339),(207,343),(207,346),(207,354),(208,320),(208,340),(208,344),(208,346),(208,355),(209,321),(209,341),(209,345),(209,346),(209,356),(210,322),(210,332),(210,338),(210,341),(210,357),(211,323),(211,333),(211,339),(211,341),(211,358),(212,324),(212,334),(212,340),(212,341),(212,359),(213,325),(213,335),(213,338),(213,340),(213,360),(214,326),(214,336),(214,339),(214,340),(214,361),(215,327),(215,337),(215,338),(215,339),(215,362),(216,328),(216,332),(216,334),(216,335),(216,363),(217,329),(217,333),(217,334),(217,336),(217,364),(218,330),(218,332),(218,333),(218,337),(218,365),(219,331),(219,335),(219,336),(219,337),(219,366),(220,312),(220,318),(220,321),(220,322),(220,367),(221,313),(221,319),(221,321),(221,323),(221,368),(222,314),(222,320),(222,321),(222,324),(222,369),(223,315),(223,318),(223,320),(223,325),(223,370),(224,316),(224,319),(224,320),(224,326),(224,371),(225,317),(225,318),(225,319),(225,327),(225,372),(226,312),(226,314),(226,315),(226,328),(226,373),(227,313),(227,314),(227,316),(227,329),(227,374),(228,312),(228,313),(228,317),(228,330),(228,375),(229,315),(229,316),(229,317),(229,331),(229,376),(230,322),(230,324),(230,325),(230,328),(230,377),(231,323),(231,324),(231,326),(231,329),(231,378),(232,322),(232,323),(232,327),(232,330),(232,379),(233,325),(233,326),(233,327),(233,331),(233,380),(234,328),(234,329),(234,330),(234,331),(234,381),(235,347),(235,353),(235,356),(235,357),(235,367),(236,348),(236,354),(236,356),(236,358),(236,368),(237,349),(237,355),(237,356),(237,359),(237,369),(238,350),(238,353),(238,355),(238,360),(238,370),(239,351),(239,354),(239,355),(239,361),(239,371),(240,352),(240,353),(240,354),(240,362),(240,372),(241,347),(241,349),(241,350),(241,363),(241,373),(242,348),(242,349),(242,351),(242,364),(242,374),(243,347),(243,348),(243,352),(243,365),(243,375),(244,350),(244,351),(244,352),(244,366),(244,376),(245,357),(245,359),(245,360),(245,363),(245,377),(246,358),(246,359),(246,361),(246,364),(246,378),(247,357),(247,358),(247,362),(247,365),(247,379),(248,360),(248,361),(248,362),(248,366),(248,380),(249,363),(249,364),(249,365),(249,366),(249,381),(250,367),(250,369),(250,370),(250,373),(250,377),(251,368),(251,369),(251,371),(251,374),(251,378),(252,367),(252,368),(252,372),(252,375),(252,379),(253,370),(253,371),(253,372),(253,376),(253,380),(254,373),(254,374),(254,375),(254,376),(254,381),(255,377),(255,378),(255,379),(255,380),(255,381),(256,417),(256,438),(256,459),(256,462),(257,418),(257,439),(257,460),(257,462),(258,419),(258,440),(258,461),(258,462),(259,420),(259,441),(259,459),(259,461),(260,421),(260,442),(260,460),(260,461),(261,422),(261,443),(261,459),(261,460),(262,423),(262,444),(262,459),(262,463),(263,424),(263,445),(263,460),(263,463),(264,425),(264,446),(264,461),(264,463),(265,426),(265,447),(265,462),(265,463),(266,427),(266,448),(266,459),(266,464),(267,428),(267,449),(267,460),(267,464),(268,429),(268,450),(268,461),(268,464),(269,430),(269,451),(269,462),(269,464),(270,431),(270,452),(270,463),(270,464),(271,432),(271,453),(271,459),(271,465),(272,433),(272,454),(272,460),(272,465),(273,434),(273,455),(273,461),(273,465),(274,435),(274,456),(274,462),(274,465),(275,436),(275,457),(275,463),(275,465),(276,437),(276,458),(276,464),(276,465),(277,382),(277,438),(277,448),(277,451),(278,383),(278,439),(278,449),(278,451),(279,384),(279,440),(279,450),(279,451),(280,385),(280,441),(280,448),(280,450),(281,386),(281,442),(281,449),(281,450),(282,387),(282,443),(282,448),(282,449),(283,388),(283,444),(283,448),(283,452),(284,389),(284,445),(284,449),(284,452),(285,390),(285,446),(285,450),(285,452),(286,391),(286,447),(286,451),(286,452),(287,392),(287,438),(287,444),(287,447),(288,393),(288,439),(288,445),(288,447),(289,394),(289,440),(289,446),(289,447),(290,395),(290,441),(290,444),(290,446),(291,396),(291,442),(291,445),(291,446),(292,397),(292,443),(292,444),(292,445),(293,398),(293,438),(293,440),(293,441),(294,399),(294,439),(294,440),(294,442),(295,400),(295,438),(295,439),(295,443),(296,401),(296,441),(296,442),(296,443),(297,402),(297,438),(297,453),(297,456),(298,403),(298,439),(298,454),(298,456),(299,404),(299,440),(299,455),(299,456),(300,405),(300,441),(300,453),(300,455),(301,406),(301,442),(301,454),(301,455),(302,407),(302,443),(302,453),(302,454),(303,408),(303,444),(303,453),(303,457),(304,409),(304,445),(304,454),(304,457),(305,410),(305,446),(305,455),(305,457),(306,411),(306,447),(306,456),(306,457),(307,412),(307,448),(307,453),(307,458),(308,413),(308,449),(308,454),(308,458),(309,414),(309,450),(309,455),(309,458),(310,415),(310,451),(310,456),(310,458),(311,416),(311,452),(311,457),(311,458),(312,382),(312,417),(312,427),(312,430),(313,383),(313,418),(313,428),(313,430),(314,384),(314,419),(314,429),(314,430),(315,385),(315,420),(315,427),(315,429),(316,386),(316,421),(316,428),(316,429),(317,387),(317,422),(317,427),(317,428),(318,388),(318,423),(318,427),(318,431),(319,389),(319,424),(319,428),(319,431),(320,390),(320,425),(320,429),(320,431),(321,391),(321,426),(321,430),(321,431),(322,392),(322,417),(322,423),(322,426),(323,393),(323,418),(323,424),(323,426),(324,394),(324,419),(324,425),(324,426),(325,395),(325,420),(325,423),(325,425),(326,396),(326,421),(326,424),(326,425),(327,397),(327,422),(327,423),(327,424),(328,398),(328,417),(328,419),(328,420),(329,399),(329,418),(329,419),(329,421),(330,400),(330,417),(330,418),(330,422),(331,401),(331,420),(331,421),(331,422),(332,402),(332,417),(332,432),(332,435),(333,403),(333,418),(333,433),(333,435),(334,404),(334,419),(334,434),(334,435),(335,405),(335,420),(335,432),(335,434),(336,406),(336,421),(336,433),(336,434),(337,407),(337,422),(337,432),(337,433),(338,408),(338,423),(338,432),(338,436),(339,409),(339,424),(339,433),(339,436),(340,410),(340,425),(340,434),(340,436),(341,411),(341,426),(341,435),(341,436),(342,412),(342,427),(342,432),(342,437),(343,413),(343,428),(343,433),(343,437),(344,414),(344,429),(344,434),(344,437),(345,415),(345,430),(345,435),(345,437),(346,416),(346,431),(346,436),(346,437),(347,382),(347,402),(347,412),(347,415),(348,383),(348,403),(348,413),(348,415),(349,384),(349,404),(349,414),(349,415),(350,385),(350,405),(350,412),(350,414),(351,386),(351,406),(351,413),(351,414),(352,387),(352,407),(352,412),(352,413),(353,388),(353,408),(353,412),(353,416),(354,389),(354,409),(354,413),(354,416),(355,390),(355,410),(355,414),(355,416),(356,391),(356,411),(356,415),(356,416),(357,392),(357,402),(357,408),(357,411),(358,393),(358,403),(358,409),(358,411),(359,394),(359,404),(359,410),(359,411),(360,395),(360,405),(360,408),(360,410),(361,396),(361,406),(361,409),(361,410),(362,397),(362,407),(362,408),(362,409),(363,398),(363,402),(363,404),(363,405),(364,399),(364,403),(364,404),(364,406),(365,400),(365,402),(365,403),(365,407),(366,401),(366,405),(366,406),(366,407),(367,382),(367,388),(367,391),(367,392),(368,383),(368,389),(368,391),(368,393),(369,384),(369,390),(369,391),(369,394),(370,385),(370,388),(370,390),(370,395),(371,386),(371,389),(371,390),(371,396),(372,387),(372,388),(372,389),(372,397),(373,382),(373,384),(373,385),(373,398),(374,383),(374,384),(374,386),(374,399),(375,382),(375,383),(375,387),(375,400),(376,385),(376,386),(376,387),(376,401),(377,392),(377,394),(377,395),(377,398),(378,393),(378,394),(378,396),(378,399),(379,392),(379,393),(379,397),(379,400),(380,395),(380,396),(380,397),(380,401),(381,398),(381,399),(381,400),(381,401),(382,466),(382,476),(382,479),(383,467),(383,477),(383,479),(384,468),(384,478),(384,479),(385,469),(385,476),(385,478),(386,470),(386,477),(386,478),(387,471),(387,476),(387,477),(388,472),(388,476),(388,480),(389,473),(389,477),(389,480),(390,474),(390,478),(390,480),(391,475),(391,479),(391,480),(392,466),(392,472),(392,475),(393,467),(393,473),(393,475),(394,468),(394,474),(394,475),(395,469),(395,472),(395,474),(396,470),(396,473),(396,474),(397,471),(397,472),(397,473),(398,466),(398,468),(398,469),(399,467),(399,468),(399,470),(400,466),(400,467),(400,471),(401,469),(401,470),(401,471),(402,466),(402,481),(402,484),(403,467),(403,482),(403,484),(404,468),(404,483),(404,484),(405,469),(405,481),(405,483),(406,470),(406,482),(406,483),(407,471),(407,481),(407,482),(408,472),(408,481),(408,485),(409,473),(409,482),(409,485),(410,474),(410,483),(410,485),(411,475),(411,484),(411,485),(412,476),(412,481),(412,486),(413,477),(413,482),(413,486),(414,478),(414,483),(414,486),(415,479),(415,484),(415,486),(416,480),(416,485),(416,486),(417,466),(417,487),(417,490),(418,467),(418,488),(418,490),(419,468),(419,489),(419,490),(420,469),(420,487),(420,489),(421,470),(421,488),(421,489),(422,471),(422,487),(422,488),(423,472),(423,487),(423,491),(424,473),(424,488),(424,491),(425,474),(425,489),(425,491),(426,475),(426,490),(426,491),(427,476),(427,487),(427,492),(428,477),(428,488),(428,492),(429,478),(429,489),(429,492),(430,479),(430,490),(430,492),(431,480),(431,491),(431,492),(432,481),(432,487),(432,493),(433,482),(433,488),(433,493),(434,483),(434,489),(434,493),(435,484),(435,490),(435,493),(436,485),(436,491),(436,493),(437,486),(437,492),(437,493),(438,466),(438,494),(438,497),(439,467),(439,495),(439,497),(440,468),(440,496),(440,497),(441,469),(441,494),(441,496),(442,470),(442,495),(442,496),(443,471),(443,494),(443,495),(444,472),(444,494),(444,498),(445,473),(445,495),(445,498),(446,474),(446,496),(446,498),(447,475),(447,497),(447,498),(448,476),(448,494),(448,499),(449,477),(449,495),(449,499),(450,478),(450,496),(450,499),(451,479),(451,497),(451,499),(452,480),(452,498),(452,499),(453,481),(453,494),(453,500),(454,482),(454,495),(454,500),(455,483),(455,496),(455,500),(456,484),(456,497),(456,500),(457,485),(457,498),(457,500),(458,486),(458,499),(458,500),(459,487),(459,494),(459,501),(460,488),(460,495),(460,501),(461,489),(461,496),(461,501),(462,490),(462,497),(462,501),(463,491),(463,498),(463,501),(464,492),(464,499),(464,501),(465,493),(465,500),(465,501),(466,502),(466,505),(467,503),(467,505),(468,504),(468,505),(469,502),(469,504),(470,503),(470,504),(471,502),(471,503),(472,502),(472,506),(473,503),(473,506),(474,504),(474,506),(475,505),(475,506),(476,502),(476,507),(477,503),(477,507),(478,504),(478,507),(479,505),(479,507),(480,506),(480,507),(481,502),(481,508),(482,503),(482,508),(483,504),(483,508),(484,505),(484,508),(485,506),(485,508),(486,507),(486,508),(487,502),(487,509),(488,503),(488,509),(489,504),(489,509),(490,505),(490,509),(491,506),(491,509),(492,507),(492,509),(493,508),(493,509),(494,502),(494,510),(495,503),(495,510),(496,504),(496,510),(497,505),(497,510),(498,506),(498,510),(499,507),(499,510),(500,508),(500,510),(501,509),(501,510),(502,511),(503,511),(504,511),(505,511),(506,511),(507,511),(508,511),(509,511),(510,511)],512)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,9),(7,9),(8,10),(9,11),(10,11),(12,10)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11),(11,12)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,1),(12,13),(13,8)],14)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(1,11),(2,4),(2,5),(2,11),(3,6),(3,7),(4,8),(4,10),(5,8),(5,9),(6,13),(7,13),(8,12),(9,6),(9,12),(10,7),(10,12),(11,3),(11,9),(11,10),(12,13)],14)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,1),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8)],14)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,12),(4,13),(5,13),(6,9),(6,12),(8,9),(9,7),(10,8),(11,8),(12,7),(13,10),(13,11)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,13),(6,11),(6,12),(8,13),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,9),(4,12),(5,12),(6,10),(6,11),(8,7),(9,7),(10,13),(11,13),(12,8),(13,8),(13,9)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,11),(4,12),(5,12),(6,8),(6,11),(8,13),(9,7),(10,7),(11,13),(12,8),(13,9),(13,10)],14)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,8),(3,11),(4,10),(5,13),(6,13),(8,12),(9,12),(10,7),(11,7),(12,10),(12,11),(13,8),(13,9)],14)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,7),(6,11),(6,12),(8,7),(9,8),(10,8),(11,13),(12,13),(13,9),(13,10)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,9),(5,10),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,10)],14)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,13),(6,10),(6,11),(8,7),(9,7),(10,8),(11,8),(12,9),(13,9)],14)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,12),(6,11),(7,10),(8,11),(9,12),(11,13),(12,13),(13,10)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,11),(6,10),(7,9),(8,9),(9,13),(10,12),(11,12),(13,10),(13,11)],14)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(1,11),(2,1),(2,12),(3,4),(3,5),(3,12),(4,8),(4,10),(5,8),(5,9),(6,14),(7,14),(8,13),(9,6),(9,13),(10,7),(10,13),(11,6),(11,7),(12,9),(12,10),(12,11),(13,14)],15)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,10),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(13,8),(13,9),(14,11),(14,13)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,13),(5,14),(6,14),(8,7),(9,7),(10,8),(11,9),(12,8),(12,9),(13,10),(13,12),(14,11),(14,12)],15)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,14),(3,14),(4,11),(5,7),(6,12),(6,13),(8,10),(9,10),(10,7),(11,9),(12,8),(13,8),(13,9),(14,11),(14,13)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,12),(3,13),(4,13),(5,11),(5,14),(6,10),(6,14),(8,7),(9,7),(10,8),(11,9),(12,10),(13,11),(14,8),(14,9)],15)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,7),(14,8),(14,9)],15)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(7,12),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,14),(10,13),(11,13),(13,12),(14,10),(14,11)],15)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,13),(2,9),(2,10),(2,12),(3,8),(3,10),(3,13),(4,8),(4,11),(4,12),(5,7),(5,12),(5,13),(6,7),(6,10),(6,11),(7,14),(8,14),(9,14),(10,14),(11,14),(12,14),(13,14)],15)=>([(0,1)],2)
([(0,8),(2,10),(3,11),(4,1),(5,7),(5,9),(6,2),(6,9),(7,3),(7,12),(8,5),(8,6),(9,10),(9,12),(10,13),(11,14),(12,11),(12,13),(13,14),(14,4)],15)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,8),(1,13),(2,13),(4,12),(5,11),(6,5),(6,10),(7,4),(7,10),(8,9),(9,6),(9,7),(10,11),(10,12),(11,14),(12,14),(13,3),(14,1),(14,2)],15)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,31),(2,32),(2,33),(2,34),(2,35),(2,36),(2,37),(2,45),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(3,37),(3,44),(4,20),(4,21),(4,22),(4,23),(4,24),(4,30),(4,36),(4,43),(5,16),(5,17),(5,18),(5,19),(5,24),(5,29),(5,35),(5,42),(6,13),(6,14),(6,15),(6,19),(6,23),(6,28),(6,34),(6,41),(7,11),(7,12),(7,15),(7,18),(7,22),(7,27),(7,33),(7,40),(8,10),(8,12),(8,14),(8,17),(8,21),(8,26),(8,32),(8,39),(9,10),(9,11),(9,13),(9,16),(9,20),(9,25),(9,31),(9,38),(10,46),(10,49),(10,52),(10,58),(10,68),(10,83),(10,104),(11,46),(11,47),(11,50),(11,56),(11,66),(11,81),(11,102),(12,46),(12,48),(12,51),(12,57),(12,67),(12,82),(12,103),(13,47),(13,49),(13,53),(13,59),(13,69),(13,84),(13,105),(14,48),(14,49),(14,54),(14,60),(14,70),(14,85),(14,106),(15,47),(15,48),(15,55),(15,61),(15,71),(15,86),(15,107),(16,50),(16,52),(16,53),(16,62),(16,72),(16,87),(16,108),(17,51),(17,52),(17,54),(17,63),(17,73),(17,88),(17,109),(18,50),(18,51),(18,55),(18,64),(18,74),(18,89),(18,110),(19,53),(19,54),(19,55),(19,65),(19,75),(19,90),(19,111),(20,56),(20,58),(20,59),(20,62),(20,76),(20,91),(20,112),(21,57),(21,58),(21,60),(21,63),(21,77),(21,92),(21,113),(22,56),(22,57),(22,61),(22,64),(22,78),(22,93),(22,114),(23,59),(23,60),(23,61),(23,65),(23,79),(23,94),(23,115),(24,62),(24,63),(24,64),(24,65),(24,80),(24,95),(24,116),(25,66),(25,68),(25,69),(25,72),(25,76),(25,96),(25,117),(26,67),(26,68),(26,70),(26,73),(26,77),(26,97),(26,118),(27,66),(27,67),(27,71),(27,74),(27,78),(27,98),(27,119),(28,69),(28,70),(28,71),(28,75),(28,79),(28,99),(28,120),(29,72),(29,73),(29,74),(29,75),(29,80),(29,100),(29,121),(30,76),(30,77),(30,78),(30,79),(30,80),(30,101),(30,122),(31,81),(31,83),(31,84),(31,87),(31,91),(31,96),(31,123),(32,82),(32,83),(32,85),(32,88),(32,92),(32,97),(32,124),(33,81),(33,82),(33,86),(33,89),(33,93),(33,98),(33,125),(34,84),(34,85),(34,86),(34,90),(34,94),(34,99),(34,126),(35,87),(35,88),(35,89),(35,90),(35,95),(35,100),(35,127),(36,91),(36,92),(36,93),(36,94),(36,95),(36,101),(36,128),(37,96),(37,97),(37,98),(37,99),(37,100),(37,101),(37,129),(38,102),(38,104),(38,105),(38,108),(38,112),(38,117),(38,123),(39,103),(39,104),(39,106),(39,109),(39,113),(39,118),(39,124),(40,102),(40,103),(40,107),(40,110),(40,114),(40,119),(40,125),(41,105),(41,106),(41,107),(41,111),(41,115),(41,120),(41,126),(42,108),(42,109),(42,110),(42,111),(42,116),(42,121),(42,127),(43,112),(43,113),(43,114),(43,115),(43,116),(43,122),(43,128),(44,117),(44,118),(44,119),(44,120),(44,121),(44,122),(44,129),(45,123),(45,124),(45,125),(45,126),(45,127),(45,128),(45,129),(46,133),(46,134),(46,144),(46,154),(46,174),(46,209),(47,130),(47,134),(47,141),(47,151),(47,171),(47,206),(48,131),(48,134),(48,142),(48,152),(48,172),(48,207),(49,132),(49,134),(49,143),(49,153),(49,173),(49,208),(50,130),(50,133),(50,135),(50,145),(50,165),(50,200),(51,131),(51,133),(51,136),(51,146),(51,166),(51,201),(52,132),(52,133),(52,137),(52,147),(52,167),(52,202),(53,130),(53,132),(53,138),(53,148),(53,168),(53,203),(54,131),(54,132),(54,139),(54,149),(54,169),(54,204),(55,130),(55,131),(55,140),(55,150),(55,170),(55,205),(56,135),(56,141),(56,144),(56,155),(56,175),(56,210),(57,136),(57,142),(57,144),(57,156),(57,176),(57,211),(58,137),(58,143),(58,144),(58,157),(58,177),(58,212),(59,138),(59,141),(59,143),(59,158),(59,178),(59,213),(60,139),(60,142),(60,143),(60,159),(60,179),(60,214),(61,140),(61,141),(61,142),(61,160),(61,180),(61,215),(62,135),(62,137),(62,138),(62,161),(62,181),(62,216),(63,136),(63,137),(63,139),(63,162),(63,182),(63,217),(64,135),(64,136),(64,140),(64,163),(64,183),(64,218),(65,138),(65,139),(65,140),(65,164),(65,184),(65,219),(66,145),(66,151),(66,154),(66,155),(66,185),(66,220),(67,146),(67,152),(67,154),(67,156),(67,186),(67,221),(68,147),(68,153),(68,154),(68,157),(68,187),(68,222),(69,148),(69,151),(69,153),(69,158),(69,188),(69,223),(70,149),(70,152),(70,153),(70,159),(70,189),(70,224),(71,150),(71,151),(71,152),(71,160),(71,190),(71,225),(72,145),(72,147),(72,148),(72,161),(72,191),(72,226),(73,146),(73,147),(73,149),(73,162),(73,192),(73,227),(74,145),(74,146),(74,150),(74,163),(74,193),(74,228),(75,148),(75,149),(75,150),(75,164),(75,194),(75,229),(76,155),(76,157),(76,158),(76,161),(76,195),(76,230),(77,156),(77,157),(77,159),(77,162),(77,196),(77,231),(78,155),(78,156),(78,160),(78,163),(78,197),(78,232),(79,158),(79,159),(79,160),(79,164),(79,198),(79,233),(80,161),(80,162),(80,163),(80,164),(80,199),(80,234),(81,165),(81,171),(81,174),(81,175),(81,185),(81,235),(82,166),(82,172),(82,174),(82,176),(82,186),(82,236),(83,167),(83,173),(83,174),(83,177),(83,187),(83,237),(84,168),(84,171),(84,173),(84,178),(84,188),(84,238),(85,169),(85,172),(85,173),(85,179),(85,189),(85,239),(86,170),(86,171),(86,172),(86,180),(86,190),(86,240),(87,165),(87,167),(87,168),(87,181),(87,191),(87,241),(88,166),(88,167),(88,169),(88,182),(88,192),(88,242),(89,165),(89,166),(89,170),(89,183),(89,193),(89,243),(90,168),(90,169),(90,170),(90,184),(90,194),(90,244),(91,175),(91,177),(91,178),(91,181),(91,195),(91,245),(92,176),(92,177),(92,179),(92,182),(92,196),(92,246),(93,175),(93,176),(93,180),(93,183),(93,197),(93,247),(94,178),(94,179),(94,180),(94,184),(94,198),(94,248),(95,181),(95,182),(95,183),(95,184),(95,199),(95,249),(96,185),(96,187),(96,188),(96,191),(96,195),(96,250),(97,186),(97,187),(97,189),(97,192),(97,196),(97,251),(98,185),(98,186),(98,190),(98,193),(98,197),(98,252),(99,188),(99,189),(99,190),(99,194),(99,198),(99,253),(100,191),(100,192),(100,193),(100,194),(100,199),(100,254),(101,195),(101,196),(101,197),(101,198),(101,199),(101,255),(102,200),(102,206),(102,209),(102,210),(102,220),(102,235),(103,201),(103,207),(103,209),(103,211),(103,221),(103,236),(104,202),(104,208),(104,209),(104,212),(104,222),(104,237),(105,203),(105,206),(105,208),(105,213),(105,223),(105,238),(106,204),(106,207),(106,208),(106,214),(106,224),(106,239),(107,205),(107,206),(107,207),(107,215),(107,225),(107,240),(108,200),(108,202),(108,203),(108,216),(108,226),(108,241),(109,201),(109,202),(109,204),(109,217),(109,227),(109,242),(110,200),(110,201),(110,205),(110,218),(110,228),(110,243),(111,203),(111,204),(111,205),(111,219),(111,229),(111,244),(112,210),(112,212),(112,213),(112,216),(112,230),(112,245),(113,211),(113,212),(113,214),(113,217),(113,231),(113,246),(114,210),(114,211),(114,215),(114,218),(114,232),(114,247),(115,213),(115,214),(115,215),(115,219),(115,233),(115,248),(116,216),(116,217),(116,218),(116,219),(116,234),(116,249),(117,220),(117,222),(117,223),(117,226),(117,230),(117,250),(118,221),(118,222),(118,224),(118,227),(118,231),(118,251),(119,220),(119,221),(119,225),(119,228),(119,232),(119,252),(120,223),(120,224),(120,225),(120,229),(120,233),(120,253),(121,226),(121,227),(121,228),(121,229),(121,234),(121,254),(122,230),(122,231),(122,232),(122,233),(122,234),(122,255),(123,235),(123,237),(123,238),(123,241),(123,245),(123,250),(124,236),(124,237),(124,239),(124,242),(124,246),(124,251),(125,235),(125,236),(125,240),(125,243),(125,247),(125,252),(126,238),(126,239),(126,240),(126,244),(126,248),(126,253),(127,241),(127,242),(127,243),(127,244),(127,249),(127,254),(128,245),(128,246),(128,247),(128,248),(128,249),(128,255),(129,250),(129,251),(129,252),(129,253),(129,254),(129,255),(130,266),(130,271),(130,276),(130,307),(130,342),(131,267),(131,272),(131,276),(131,308),(131,343),(132,268),(132,273),(132,276),(132,309),(132,344),(133,269),(133,274),(133,276),(133,310),(133,345),(134,270),(134,275),(134,276),(134,311),(134,346),(135,256),(135,271),(135,274),(135,297),(135,332),(136,257),(136,272),(136,274),(136,298),(136,333),(137,258),(137,273),(137,274),(137,299),(137,334),(138,259),(138,271),(138,273),(138,300),(138,335),(139,260),(139,272),(139,273),(139,301),(139,336),(140,261),(140,271),(140,272),(140,302),(140,337),(141,262),(141,271),(141,275),(141,303),(141,338),(142,263),(142,272),(142,275),(142,304),(142,339),(143,264),(143,273),(143,275),(143,305),(143,340),(144,265),(144,274),(144,275),(144,306),(144,341),(145,256),(145,266),(145,269),(145,277),(145,312),(146,257),(146,267),(146,269),(146,278),(146,313),(147,258),(147,268),(147,269),(147,279),(147,314),(148,259),(148,266),(148,268),(148,280),(148,315),(149,260),(149,267),(149,268),(149,281),(149,316),(150,261),(150,266),(150,267),(150,282),(150,317),(151,262),(151,266),(151,270),(151,283),(151,318),(152,263),(152,267),(152,270),(152,284),(152,319),(153,264),(153,268),(153,270),(153,285),(153,320),(154,265),(154,269),(154,270),(154,286),(154,321),(155,256),(155,262),(155,265),(155,287),(155,322),(156,257),(156,263),(156,265),(156,288),(156,323),(157,258),(157,264),(157,265),(157,289),(157,324),(158,259),(158,262),(158,264),(158,290),(158,325),(159,260),(159,263),(159,264),(159,291),(159,326),(160,261),(160,262),(160,263),(160,292),(160,327),(161,256),(161,258),(161,259),(161,293),(161,328),(162,257),(162,258),(162,260),(162,294),(162,329),(163,256),(163,257),(163,261),(163,295),(163,330),(164,259),(164,260),(164,261),(164,296),(164,331),(165,277),(165,297),(165,307),(165,310),(165,347),(166,278),(166,298),(166,308),(166,310),(166,348),(167,279),(167,299),(167,309),(167,310),(167,349),(168,280),(168,300),(168,307),(168,309),(168,350),(169,281),(169,301),(169,308),(169,309),(169,351),(170,282),(170,302),(170,307),(170,308),(170,352),(171,283),(171,303),(171,307),(171,311),(171,353),(172,284),(172,304),(172,308),(172,311),(172,354),(173,285),(173,305),(173,309),(173,311),(173,355),(174,286),(174,306),(174,310),(174,311),(174,356),(175,287),(175,297),(175,303),(175,306),(175,357),(176,288),(176,298),(176,304),(176,306),(176,358),(177,289),(177,299),(177,305),(177,306),(177,359),(178,290),(178,300),(178,303),(178,305),(178,360),(179,291),(179,301),(179,304),(179,305),(179,361),(180,292),(180,302),(180,303),(180,304),(180,362),(181,293),(181,297),(181,299),(181,300),(181,363),(182,294),(182,298),(182,299),(182,301),(182,364),(183,295),(183,297),(183,298),(183,302),(183,365),(184,296),(184,300),(184,301),(184,302),(184,366),(185,277),(185,283),(185,286),(185,287),(185,367),(186,278),(186,284),(186,286),(186,288),(186,368),(187,279),(187,285),(187,286),(187,289),(187,369),(188,280),(188,283),(188,285),(188,290),(188,370),(189,281),(189,284),(189,285),(189,291),(189,371),(190,282),(190,283),(190,284),(190,292),(190,372),(191,277),(191,279),(191,280),(191,293),(191,373),(192,278),(192,279),(192,281),(192,294),(192,374),(193,277),(193,278),(193,282),(193,295),(193,375),(194,280),(194,281),(194,282),(194,296),(194,376),(195,287),(195,289),(195,290),(195,293),(195,377),(196,288),(196,289),(196,291),(196,294),(196,378),(197,287),(197,288),(197,292),(197,295),(197,379),(198,290),(198,291),(198,292),(198,296),(198,380),(199,293),(199,294),(199,295),(199,296),(199,381),(200,312),(200,332),(200,342),(200,345),(200,347),(201,313),(201,333),(201,343),(201,345),(201,348),(202,314),(202,334),(202,344),(202,345),(202,349),(203,315),(203,335),(203,342),(203,344),(203,350),(204,316),(204,336),(204,343),(204,344),(204,351),(205,317),(205,337),(205,342),(205,343),(205,352),(206,318),(206,338),(206,342),(206,346),(206,353),(207,319),(207,339),(207,343),(207,346),(207,354),(208,320),(208,340),(208,344),(208,346),(208,355),(209,321),(209,341),(209,345),(209,346),(209,356),(210,322),(210,332),(210,338),(210,341),(210,357),(211,323),(211,333),(211,339),(211,341),(211,358),(212,324),(212,334),(212,340),(212,341),(212,359),(213,325),(213,335),(213,338),(213,340),(213,360),(214,326),(214,336),(214,339),(214,340),(214,361),(215,327),(215,337),(215,338),(215,339),(215,362),(216,328),(216,332),(216,334),(216,335),(216,363),(217,329),(217,333),(217,334),(217,336),(217,364),(218,330),(218,332),(218,333),(218,337),(218,365),(219,331),(219,335),(219,336),(219,337),(219,366),(220,312),(220,318),(220,321),(220,322),(220,367),(221,313),(221,319),(221,321),(221,323),(221,368),(222,314),(222,320),(222,321),(222,324),(222,369),(223,315),(223,318),(223,320),(223,325),(223,370),(224,316),(224,319),(224,320),(224,326),(224,371),(225,317),(225,318),(225,319),(225,327),(225,372),(226,312),(226,314),(226,315),(226,328),(226,373),(227,313),(227,314),(227,316),(227,329),(227,374),(228,312),(228,313),(228,317),(228,330),(228,375),(229,315),(229,316),(229,317),(229,331),(229,376),(230,322),(230,324),(230,325),(230,328),(230,377),(231,323),(231,324),(231,326),(231,329),(231,378),(232,322),(232,323),(232,327),(232,330),(232,379),(233,325),(233,326),(233,327),(233,331),(233,380),(234,328),(234,329),(234,330),(234,331),(234,381),(235,347),(235,353),(235,356),(235,357),(235,367),(236,348),(236,354),(236,356),(236,358),(236,368),(237,349),(237,355),(237,356),(237,359),(237,369),(238,350),(238,353),(238,355),(238,360),(238,370),(239,351),(239,354),(239,355),(239,361),(239,371),(240,352),(240,353),(240,354),(240,362),(240,372),(241,347),(241,349),(241,350),(241,363),(241,373),(242,348),(242,349),(242,351),(242,364),(242,374),(243,347),(243,348),(243,352),(243,365),(243,375),(244,350),(244,351),(244,352),(244,366),(244,376),(245,357),(245,359),(245,360),(245,363),(245,377),(246,358),(246,359),(246,361),(246,364),(246,378),(247,357),(247,358),(247,362),(247,365),(247,379),(248,360),(248,361),(248,362),(248,366),(248,380),(249,363),(249,364),(249,365),(249,366),(249,381),(250,367),(250,369),(250,370),(250,373),(250,377),(251,368),(251,369),(251,371),(251,374),(251,378),(252,367),(252,368),(252,372),(252,375),(252,379),(253,370),(253,371),(253,372),(253,376),(253,380),(254,373),(254,374),(254,375),(254,376),(254,381),(255,377),(255,378),(255,379),(255,380),(255,381),(256,417),(256,438),(256,459),(256,462),(257,418),(257,439),(257,460),(257,462),(258,419),(258,440),(258,461),(258,462),(259,420),(259,441),(259,459),(259,461),(260,421),(260,442),(260,460),(260,461),(261,422),(261,443),(261,459),(261,460),(262,423),(262,444),(262,459),(262,463),(263,424),(263,445),(263,460),(263,463),(264,425),(264,446),(264,461),(264,463),(265,426),(265,447),(265,462),(265,463),(266,427),(266,448),(266,459),(266,464),(267,428),(267,449),(267,460),(267,464),(268,429),(268,450),(268,461),(268,464),(269,430),(269,451),(269,462),(269,464),(270,431),(270,452),(270,463),(270,464),(271,432),(271,453),(271,459),(271,465),(272,433),(272,454),(272,460),(272,465),(273,434),(273,455),(273,461),(273,465),(274,435),(274,456),(274,462),(274,465),(275,436),(275,457),(275,463),(275,465),(276,437),(276,458),(276,464),(276,465),(277,382),(277,438),(277,448),(277,451),(278,383),(278,439),(278,449),(278,451),(279,384),(279,440),(279,450),(279,451),(280,385),(280,441),(280,448),(280,450),(281,386),(281,442),(281,449),(281,450),(282,387),(282,443),(282,448),(282,449),(283,388),(283,444),(283,448),(283,452),(284,389),(284,445),(284,449),(284,452),(285,390),(285,446),(285,450),(285,452),(286,391),(286,447),(286,451),(286,452),(287,392),(287,438),(287,444),(287,447),(288,393),(288,439),(288,445),(288,447),(289,394),(289,440),(289,446),(289,447),(290,395),(290,441),(290,444),(290,446),(291,396),(291,442),(291,445),(291,446),(292,397),(292,443),(292,444),(292,445),(293,398),(293,438),(293,440),(293,441),(294,399),(294,439),(294,440),(294,442),(295,400),(295,438),(295,439),(295,443),(296,401),(296,441),(296,442),(296,443),(297,402),(297,438),(297,453),(297,456),(298,403),(298,439),(298,454),(298,456),(299,404),(299,440),(299,455),(299,456),(300,405),(300,441),(300,453),(300,455),(301,406),(301,442),(301,454),(301,455),(302,407),(302,443),(302,453),(302,454),(303,408),(303,444),(303,453),(303,457),(304,409),(304,445),(304,454),(304,457),(305,410),(305,446),(305,455),(305,457),(306,411),(306,447),(306,456),(306,457),(307,412),(307,448),(307,453),(307,458),(308,413),(308,449),(308,454),(308,458),(309,414),(309,450),(309,455),(309,458),(310,415),(310,451),(310,456),(310,458),(311,416),(311,452),(311,457),(311,458),(312,382),(312,417),(312,427),(312,430),(313,383),(313,418),(313,428),(313,430),(314,384),(314,419),(314,429),(314,430),(315,385),(315,420),(315,427),(315,429),(316,386),(316,421),(316,428),(316,429),(317,387),(317,422),(317,427),(317,428),(318,388),(318,423),(318,427),(318,431),(319,389),(319,424),(319,428),(319,431),(320,390),(320,425),(320,429),(320,431),(321,391),(321,426),(321,430),(321,431),(322,392),(322,417),(322,423),(322,426),(323,393),(323,418),(323,424),(323,426),(324,394),(324,419),(324,425),(324,426),(325,395),(325,420),(325,423),(325,425),(326,396),(326,421),(326,424),(326,425),(327,397),(327,422),(327,423),(327,424),(328,398),(328,417),(328,419),(328,420),(329,399),(329,418),(329,419),(329,421),(330,400),(330,417),(330,418),(330,422),(331,401),(331,420),(331,421),(331,422),(332,402),(332,417),(332,432),(332,435),(333,403),(333,418),(333,433),(333,435),(334,404),(334,419),(334,434),(334,435),(335,405),(335,420),(335,432),(335,434),(336,406),(336,421),(336,433),(336,434),(337,407),(337,422),(337,432),(337,433),(338,408),(338,423),(338,432),(338,436),(339,409),(339,424),(339,433),(339,436),(340,410),(340,425),(340,434),(340,436),(341,411),(341,426),(341,435),(341,436),(342,412),(342,427),(342,432),(342,437),(343,413),(343,428),(343,433),(343,437),(344,414),(344,429),(344,434),(344,437),(345,415),(345,430),(345,435),(345,437),(346,416),(346,431),(346,436),(346,437),(347,382),(347,402),(347,412),(347,415),(348,383),(348,403),(348,413),(348,415),(349,384),(349,404),(349,414),(349,415),(350,385),(350,405),(350,412),(350,414),(351,386),(351,406),(351,413),(351,414),(352,387),(352,407),(352,412),(352,413),(353,388),(353,408),(353,412),(353,416),(354,389),(354,409),(354,413),(354,416),(355,390),(355,410),(355,414),(355,416),(356,391),(356,411),(356,415),(356,416),(357,392),(357,402),(357,408),(357,411),(358,393),(358,403),(358,409),(358,411),(359,394),(359,404),(359,410),(359,411),(360,395),(360,405),(360,408),(360,410),(361,396),(361,406),(361,409),(361,410),(362,397),(362,407),(362,408),(362,409),(363,398),(363,402),(363,404),(363,405),(364,399),(364,403),(364,404),(364,406),(365,400),(365,402),(365,403),(365,407),(366,401),(366,405),(366,406),(366,407),(367,382),(367,388),(367,391),(367,392),(368,383),(368,389),(368,391),(368,393),(369,384),(369,390),(369,391),(369,394),(370,385),(370,388),(370,390),(370,395),(371,386),(371,389),(371,390),(371,396),(372,387),(372,388),(372,389),(372,397),(373,382),(373,384),(373,385),(373,398),(374,383),(374,384),(374,386),(374,399),(375,382),(375,383),(375,387),(375,400),(376,385),(376,386),(376,387),(376,401),(377,392),(377,394),(377,395),(377,398),(378,393),(378,394),(378,396),(378,399),(379,392),(379,393),(379,397),(379,400),(380,395),(380,396),(380,397),(380,401),(381,398),(381,399),(381,400),(381,401),(382,466),(382,476),(382,479),(383,467),(383,477),(383,479),(384,468),(384,478),(384,479),(385,469),(385,476),(385,478),(386,470),(386,477),(386,478),(387,471),(387,476),(387,477),(388,472),(388,476),(388,480),(389,473),(389,477),(389,480),(390,474),(390,478),(390,480),(391,475),(391,479),(391,480),(392,466),(392,472),(392,475),(393,467),(393,473),(393,475),(394,468),(394,474),(394,475),(395,469),(395,472),(395,474),(396,470),(396,473),(396,474),(397,471),(397,472),(397,473),(398,466),(398,468),(398,469),(399,467),(399,468),(399,470),(400,466),(400,467),(400,471),(401,469),(401,470),(401,471),(402,466),(402,481),(402,484),(403,467),(403,482),(403,484),(404,468),(404,483),(404,484),(405,469),(405,481),(405,483),(406,470),(406,482),(406,483),(407,471),(407,481),(407,482),(408,472),(408,481),(408,485),(409,473),(409,482),(409,485),(410,474),(410,483),(410,485),(411,475),(411,484),(411,485),(412,476),(412,481),(412,486),(413,477),(413,482),(413,486),(414,478),(414,483),(414,486),(415,479),(415,484),(415,486),(416,480),(416,485),(416,486),(417,466),(417,487),(417,490),(418,467),(418,488),(418,490),(419,468),(419,489),(419,490),(420,469),(420,487),(420,489),(421,470),(421,488),(421,489),(422,471),(422,487),(422,488),(423,472),(423,487),(423,491),(424,473),(424,488),(424,491),(425,474),(425,489),(425,491),(426,475),(426,490),(426,491),(427,476),(427,487),(427,492),(428,477),(428,488),(428,492),(429,478),(429,489),(429,492),(430,479),(430,490),(430,492),(431,480),(431,491),(431,492),(432,481),(432,487),(432,493),(433,482),(433,488),(433,493),(434,483),(434,489),(434,493),(435,484),(435,490),(435,493),(436,485),(436,491),(436,493),(437,486),(437,492),(437,493),(438,466),(438,494),(438,497),(439,467),(439,495),(439,497),(440,468),(440,496),(440,497),(441,469),(441,494),(441,496),(442,470),(442,495),(442,496),(443,471),(443,494),(443,495),(444,472),(444,494),(444,498),(445,473),(445,495),(445,498),(446,474),(446,496),(446,498),(447,475),(447,497),(447,498),(448,476),(448,494),(448,499),(449,477),(449,495),(449,499),(450,478),(450,496),(450,499),(451,479),(451,497),(451,499),(452,480),(452,498),(452,499),(453,481),(453,494),(453,500),(454,482),(454,495),(454,500),(455,483),(455,496),(455,500),(456,484),(456,497),(456,500),(457,485),(457,498),(457,500),(458,486),(458,499),(458,500),(459,487),(459,494),(459,501),(460,488),(460,495),(460,501),(461,489),(461,496),(461,501),(462,490),(462,497),(462,501),(463,491),(463,498),(463,501),(464,492),(464,499),(464,501),(465,493),(465,500),(465,501),(466,502),(466,505),(467,503),(467,505),(468,504),(468,505),(469,502),(469,504),(470,503),(470,504),(471,502),(471,503),(472,502),(472,506),(473,503),(473,506),(474,504),(474,506),(475,505),(475,506),(476,502),(476,507),(477,503),(477,507),(478,504),(478,507),(479,505),(479,507),(480,506),(480,507),(481,502),(481,508),(482,503),(482,508),(483,504),(483,508),(484,505),(484,508),(485,506),(485,508),(486,507),(486,508),(487,502),(487,509),(488,503),(488,509),(489,504),(489,509),(490,505),(490,509),(491,506),(491,509),(492,507),(492,509),(493,508),(493,509),(494,502),(494,510),(495,503),(495,510),(496,504),(496,510),(497,505),(497,510),(498,506),(498,510),(499,507),(499,510),(500,508),(500,510),(501,509),(501,510),(502,511),(503,511),(504,511),(505,511),(506,511),(507,511),(508,511),(509,511),(510,511)],512)
([(0,7),(1,11),(2,10),(4,6),(4,9),(5,1),(5,9),(6,2),(6,12),(7,8),(8,4),(8,5),(9,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14),(14,3)],15)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(2,10),(3,9),(3,11),(4,9),(4,12),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,15),(10,6),(10,13),(11,8),(11,15),(12,1),(12,10),(12,15),(13,14),(15,7),(15,13)],16)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,12),(3,11),(4,10),(5,12),(5,13),(6,11),(6,15),(8,7),(9,7),(10,9),(11,8),(12,14),(13,14),(14,10),(14,15),(15,8),(15,9)],16)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,15),(6,13),(6,15),(8,14),(9,14),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,9)],16)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,8),(7,13),(7,14),(9,15),(10,8),(11,10),(12,10),(13,9),(14,9),(15,11),(15,12)],16)=>([(0,2),(2,1)],3)
([(0,8),(1,14),(3,12),(4,10),(5,4),(5,9),(6,7),(6,9),(7,3),(7,13),(8,5),(8,6),(9,10),(9,13),(10,15),(11,14),(12,11),(13,12),(13,15),(14,2),(15,1),(15,11)],16)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,9),(1,12),(2,11),(3,15),(5,14),(6,13),(7,1),(7,14),(8,2),(8,15),(9,10),(10,3),(10,8),(11,7),(12,13),(13,4),(14,6),(14,12),(15,5),(15,11)],16)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(1,19),(1,20),(1,21),(1,22),(1,23),(1,24),(1,25),(2,11),(2,12),(2,13),(2,14),(2,15),(2,16),(2,17),(2,18),(3,41),(3,42),(3,43),(3,44),(3,45),(3,46),(3,53),(4,36),(4,37),(4,38),(4,39),(4,40),(4,46),(4,52),(5,32),(5,33),(5,34),(5,35),(5,40),(5,45),(5,51),(6,29),(6,30),(6,31),(6,35),(6,39),(6,44),(6,50),(7,27),(7,28),(7,31),(7,34),(7,38),(7,43),(7,49),(8,26),(8,28),(8,30),(8,33),(8,37),(8,42),(8,48),(9,26),(9,27),(9,29),(9,32),(9,36),(9,41),(9,47),(10,1),(10,2),(10,47),(10,48),(10,49),(10,50),(10,51),(10,52),(10,53),(11,110),(11,111),(11,112),(11,113),(11,114),(11,115),(11,116),(12,110),(12,117),(12,119),(12,120),(12,123),(12,127),(12,132),(13,111),(13,118),(13,119),(13,121),(13,124),(13,128),(13,133),(14,112),(14,117),(14,118),(14,122),(14,125),(14,129),(14,134),(15,113),(15,120),(15,121),(15,122),(15,126),(15,130),(15,135),(16,114),(16,123),(16,124),(16,125),(16,126),(16,131),(16,136),(17,115),(17,127),(17,128),(17,129),(17,130),(17,131),(17,137),(18,116),(18,132),(18,133),(18,134),(18,135),(18,136),(18,137),(19,110),(19,138),(19,140),(19,141),(19,144),(19,148),(19,153),(20,111),(20,139),(20,140),(20,142),(20,145),(20,149),(20,154),(21,112),(21,138),(21,139),(21,143),(21,146),(21,150),(21,155),(22,113),(22,141),(22,142),(22,143),(22,147),(22,151),(22,156),(23,114),(23,144),(23,145),(23,146),(23,147),(23,152),(23,157),(24,115),(24,148),(24,149),(24,150),(24,151),(24,152),(24,158),(25,116),(25,153),(25,154),(25,155),(25,156),(25,157),(25,158),(26,54),(26,57),(26,60),(26,66),(26,76),(26,91),(27,54),(27,55),(27,58),(27,64),(27,74),(27,89),(28,54),(28,56),(28,59),(28,65),(28,75),(28,90),(29,55),(29,57),(29,61),(29,67),(29,77),(29,92),(30,56),(30,57),(30,62),(30,68),(30,78),(30,93),(31,55),(31,56),(31,63),(31,69),(31,79),(31,94),(32,58),(32,60),(32,61),(32,70),(32,80),(32,95),(33,59),(33,60),(33,62),(33,71),(33,81),(33,96),(34,58),(34,59),(34,63),(34,72),(34,82),(34,97),(35,61),(35,62),(35,63),(35,73),(35,83),(35,98),(36,64),(36,66),(36,67),(36,70),(36,84),(36,99),(37,65),(37,66),(37,68),(37,71),(37,85),(37,100),(38,64),(38,65),(38,69),(38,72),(38,86),(38,101),(39,67),(39,68),(39,69),(39,73),(39,87),(39,102),(40,70),(40,71),(40,72),(40,73),(40,88),(40,103),(41,74),(41,76),(41,77),(41,80),(41,84),(41,104),(42,75),(42,76),(42,78),(42,81),(42,85),(42,105),(43,74),(43,75),(43,79),(43,82),(43,86),(43,106),(44,77),(44,78),(44,79),(44,83),(44,87),(44,107),(45,80),(45,81),(45,82),(45,83),(45,88),(45,108),(46,84),(46,85),(46,86),(46,87),(46,88),(46,109),(47,12),(47,19),(47,89),(47,91),(47,92),(47,95),(47,99),(47,104),(48,13),(48,20),(48,90),(48,91),(48,93),(48,96),(48,100),(48,105),(49,14),(49,21),(49,89),(49,90),(49,94),(49,97),(49,101),(49,106),(50,15),(50,22),(50,92),(50,93),(50,94),(50,98),(50,102),(50,107),(51,16),(51,23),(51,95),(51,96),(51,97),(51,98),(51,103),(51,108),(52,17),(52,24),(52,99),(52,100),(52,101),(52,102),(52,103),(52,109),(53,18),(53,25),(53,104),(53,105),(53,106),(53,107),(53,108),(53,109),(54,253),(54,254),(54,264),(54,274),(54,294),(55,250),(55,254),(55,261),(55,271),(55,291),(56,251),(56,254),(56,262),(56,272),(56,292),(57,252),(57,254),(57,263),(57,273),(57,293),(58,250),(58,253),(58,255),(58,265),(58,285),(59,251),(59,253),(59,256),(59,266),(59,286),(60,252),(60,253),(60,257),(60,267),(60,287),(61,250),(61,252),(61,258),(61,268),(61,288),(62,251),(62,252),(62,259),(62,269),(62,289),(63,250),(63,251),(63,260),(63,270),(63,290),(64,255),(64,261),(64,264),(64,275),(64,295),(65,256),(65,262),(65,264),(65,276),(65,296),(66,257),(66,263),(66,264),(66,277),(66,297),(67,258),(67,261),(67,263),(67,278),(67,298),(68,259),(68,262),(68,263),(68,279),(68,299),(69,260),(69,261),(69,262),(69,280),(69,300),(70,255),(70,257),(70,258),(70,281),(70,301),(71,256),(71,257),(71,259),(71,282),(71,302),(72,255),(72,256),(72,260),(72,283),(72,303),(73,258),(73,259),(73,260),(73,284),(73,304),(74,265),(74,271),(74,274),(74,275),(74,305),(75,266),(75,272),(75,274),(75,276),(75,306),(76,267),(76,273),(76,274),(76,277),(76,307),(77,268),(77,271),(77,273),(77,278),(77,308),(78,269),(78,272),(78,273),(78,279),(78,309),(79,270),(79,271),(79,272),(79,280),(79,310),(80,265),(80,267),(80,268),(80,281),(80,311),(81,266),(81,267),(81,269),(81,282),(81,312),(82,265),(82,266),(82,270),(82,283),(82,313),(83,268),(83,269),(83,270),(83,284),(83,314),(84,275),(84,277),(84,278),(84,281),(84,315),(85,276),(85,277),(85,279),(85,282),(85,316),(86,275),(86,276),(86,280),(86,283),(86,317),(87,278),(87,279),(87,280),(87,284),(87,318),(88,281),(88,282),(88,283),(88,284),(88,319),(89,117),(89,138),(89,285),(89,291),(89,294),(89,295),(89,305),(90,118),(90,139),(90,286),(90,292),(90,294),(90,296),(90,306),(91,119),(91,140),(91,287),(91,293),(91,294),(91,297),(91,307),(92,120),(92,141),(92,288),(92,291),(92,293),(92,298),(92,308),(93,121),(93,142),(93,289),(93,292),(93,293),(93,299),(93,309),(94,122),(94,143),(94,290),(94,291),(94,292),(94,300),(94,310),(95,123),(95,144),(95,285),(95,287),(95,288),(95,301),(95,311),(96,124),(96,145),(96,286),(96,287),(96,289),(96,302),(96,312),(97,125),(97,146),(97,285),(97,286),(97,290),(97,303),(97,313),(98,126),(98,147),(98,288),(98,289),(98,290),(98,304),(98,314),(99,127),(99,148),(99,295),(99,297),(99,298),(99,301),(99,315),(100,128),(100,149),(100,296),(100,297),(100,299),(100,302),(100,316),(101,129),(101,150),(101,295),(101,296),(101,300),(101,303),(101,317),(102,130),(102,151),(102,298),(102,299),(102,300),(102,304),(102,318),(103,131),(103,152),(103,301),(103,302),(103,303),(103,304),(103,319),(104,132),(104,153),(104,305),(104,307),(104,308),(104,311),(104,315),(105,133),(105,154),(105,306),(105,307),(105,309),(105,312),(105,316),(106,134),(106,155),(106,305),(106,306),(106,310),(106,313),(106,317),(107,135),(107,156),(107,308),(107,309),(107,310),(107,314),(107,318),(108,136),(108,157),(108,311),(108,312),(108,313),(108,314),(108,319),(109,137),(109,158),(109,315),(109,316),(109,317),(109,318),(109,319),(110,229),(110,231),(110,232),(110,235),(110,239),(110,244),(111,230),(111,231),(111,233),(111,236),(111,240),(111,245),(112,229),(112,230),(112,234),(112,237),(112,241),(112,246),(113,232),(113,233),(113,234),(113,238),(113,242),(113,247),(114,235),(114,236),(114,237),(114,238),(114,243),(114,248),(115,239),(115,240),(115,241),(115,242),(115,243),(115,249),(116,244),(116,245),(116,246),(116,247),(116,248),(116,249),(117,159),(117,165),(117,168),(117,169),(117,179),(117,229),(118,160),(118,166),(118,168),(118,170),(118,180),(118,230),(119,161),(119,167),(119,168),(119,171),(119,181),(119,231),(120,162),(120,165),(120,167),(120,172),(120,182),(120,232),(121,163),(121,166),(121,167),(121,173),(121,183),(121,233),(122,164),(122,165),(122,166),(122,174),(122,184),(122,234),(123,159),(123,161),(123,162),(123,175),(123,185),(123,235),(124,160),(124,161),(124,163),(124,176),(124,186),(124,236),(125,159),(125,160),(125,164),(125,177),(125,187),(125,237),(126,162),(126,163),(126,164),(126,178),(126,188),(126,238),(127,169),(127,171),(127,172),(127,175),(127,189),(127,239),(128,170),(128,171),(128,173),(128,176),(128,190),(128,240),(129,169),(129,170),(129,174),(129,177),(129,191),(129,241),(130,172),(130,173),(130,174),(130,178),(130,192),(130,242),(131,175),(131,176),(131,177),(131,178),(131,193),(131,243),(132,179),(132,181),(132,182),(132,185),(132,189),(132,244),(133,180),(133,181),(133,183),(133,186),(133,190),(133,245),(134,179),(134,180),(134,184),(134,187),(134,191),(134,246),(135,182),(135,183),(135,184),(135,188),(135,192),(135,247),(136,185),(136,186),(136,187),(136,188),(136,193),(136,248),(137,189),(137,190),(137,191),(137,192),(137,193),(137,249),(138,194),(138,200),(138,203),(138,204),(138,214),(138,229),(139,195),(139,201),(139,203),(139,205),(139,215),(139,230),(140,196),(140,202),(140,203),(140,206),(140,216),(140,231),(141,197),(141,200),(141,202),(141,207),(141,217),(141,232),(142,198),(142,201),(142,202),(142,208),(142,218),(142,233),(143,199),(143,200),(143,201),(143,209),(143,219),(143,234),(144,194),(144,196),(144,197),(144,210),(144,220),(144,235),(145,195),(145,196),(145,198),(145,211),(145,221),(145,236),(146,194),(146,195),(146,199),(146,212),(146,222),(146,237),(147,197),(147,198),(147,199),(147,213),(147,223),(147,238),(148,204),(148,206),(148,207),(148,210),(148,224),(148,239),(149,205),(149,206),(149,208),(149,211),(149,225),(149,240),(150,204),(150,205),(150,209),(150,212),(150,226),(150,241),(151,207),(151,208),(151,209),(151,213),(151,227),(151,242),(152,210),(152,211),(152,212),(152,213),(152,228),(152,243),(153,214),(153,216),(153,217),(153,220),(153,224),(153,244),(154,215),(154,216),(154,218),(154,221),(154,225),(154,245),(155,214),(155,215),(155,219),(155,222),(155,226),(155,246),(156,217),(156,218),(156,219),(156,223),(156,227),(156,247),(157,220),(157,221),(157,222),(157,223),(157,228),(157,248),(158,224),(158,225),(158,226),(158,227),(158,228),(158,249),(159,320),(159,411),(159,431),(159,441),(159,444),(160,321),(160,412),(160,432),(160,442),(160,444),(161,322),(161,413),(161,433),(161,443),(161,444),(162,323),(162,414),(162,434),(162,441),(162,443),(163,324),(163,415),(163,435),(163,442),(163,443),(164,325),(164,416),(164,436),(164,441),(164,442),(165,326),(165,417),(165,437),(165,441),(165,445),(166,327),(166,418),(166,438),(166,442),(166,445),(167,328),(167,419),(167,439),(167,443),(167,445),(168,329),(168,420),(168,440),(168,444),(168,445),(169,330),(169,421),(169,431),(169,437),(169,440),(170,331),(170,422),(170,432),(170,438),(170,440),(171,332),(171,423),(171,433),(171,439),(171,440),(172,333),(172,424),(172,434),(172,437),(172,439),(173,334),(173,425),(173,435),(173,438),(173,439),(174,335),(174,426),(174,436),(174,437),(174,438),(175,336),(175,427),(175,431),(175,433),(175,434),(176,337),(176,428),(176,432),(176,433),(176,435),(177,338),(177,429),(177,431),(177,432),(177,436),(178,339),(178,430),(178,434),(178,435),(178,436),(179,340),(179,411),(179,417),(179,420),(179,421),(180,341),(180,412),(180,418),(180,420),(180,422),(181,342),(181,413),(181,419),(181,420),(181,423),(182,343),(182,414),(182,417),(182,419),(182,424),(183,344),(183,415),(183,418),(183,419),(183,425),(184,345),(184,416),(184,417),(184,418),(184,426),(185,346),(185,411),(185,413),(185,414),(185,427),(186,347),(186,412),(186,413),(186,415),(186,428),(187,348),(187,411),(187,412),(187,416),(187,429),(188,349),(188,414),(188,415),(188,416),(188,430),(189,350),(189,421),(189,423),(189,424),(189,427),(190,351),(190,422),(190,423),(190,425),(190,428),(191,352),(191,421),(191,422),(191,426),(191,429),(192,353),(192,424),(192,425),(192,426),(192,430),(193,354),(193,427),(193,428),(193,429),(193,430),(194,320),(194,446),(194,466),(194,476),(194,479),(195,321),(195,447),(195,467),(195,477),(195,479),(196,322),(196,448),(196,468),(196,478),(196,479),(197,323),(197,449),(197,469),(197,476),(197,478),(198,324),(198,450),(198,470),(198,477),(198,478),(199,325),(199,451),(199,471),(199,476),(199,477),(200,326),(200,452),(200,472),(200,476),(200,480),(201,327),(201,453),(201,473),(201,477),(201,480),(202,328),(202,454),(202,474),(202,478),(202,480),(203,329),(203,455),(203,475),(203,479),(203,480),(204,330),(204,456),(204,466),(204,472),(204,475),(205,331),(205,457),(205,467),(205,473),(205,475),(206,332),(206,458),(206,468),(206,474),(206,475),(207,333),(207,459),(207,469),(207,472),(207,474),(208,334),(208,460),(208,470),(208,473),(208,474),(209,335),(209,461),(209,471),(209,472),(209,473),(210,336),(210,462),(210,466),(210,468),(210,469),(211,337),(211,463),(211,467),(211,468),(211,470),(212,338),(212,464),(212,466),(212,467),(212,471),(213,339),(213,465),(213,469),(213,470),(213,471),(214,340),(214,446),(214,452),(214,455),(214,456),(215,341),(215,447),(215,453),(215,455),(215,457),(216,342),(216,448),(216,454),(216,455),(216,458),(217,343),(217,449),(217,452),(217,454),(217,459),(218,344),(218,450),(218,453),(218,454),(218,460),(219,345),(219,451),(219,452),(219,453),(219,461),(220,346),(220,446),(220,448),(220,449),(220,462),(221,347),(221,447),(221,448),(221,450),(221,463),(222,348),(222,446),(222,447),(222,451),(222,464),(223,349),(223,449),(223,450),(223,451),(223,465),(224,350),(224,456),(224,458),(224,459),(224,462),(225,351),(225,457),(225,458),(225,460),(225,463),(226,352),(226,456),(226,457),(226,461),(226,464),(227,353),(227,459),(227,460),(227,461),(227,465),(228,354),(228,462),(228,463),(228,464),(228,465),(229,320),(229,326),(229,329),(229,330),(229,340),(230,321),(230,327),(230,329),(230,331),(230,341),(231,322),(231,328),(231,329),(231,332),(231,342),(232,323),(232,326),(232,328),(232,333),(232,343),(233,324),(233,327),(233,328),(233,334),(233,344),(234,325),(234,326),(234,327),(234,335),(234,345),(235,320),(235,322),(235,323),(235,336),(235,346),(236,321),(236,322),(236,324),(236,337),(236,347),(237,320),(237,321),(237,325),(237,338),(237,348),(238,323),(238,324),(238,325),(238,339),(238,349),(239,330),(239,332),(239,333),(239,336),(239,350),(240,331),(240,332),(240,334),(240,337),(240,351),(241,330),(241,331),(241,335),(241,338),(241,352),(242,333),(242,334),(242,335),(242,339),(242,353),(243,336),(243,337),(243,338),(243,339),(243,354),(244,340),(244,342),(244,343),(244,346),(244,350),(245,341),(245,342),(245,344),(245,347),(245,351),(246,340),(246,341),(246,345),(246,348),(246,352),(247,343),(247,344),(247,345),(247,349),(247,353),(248,346),(248,347),(248,348),(248,349),(248,354),(249,350),(249,351),(249,352),(249,353),(249,354),(250,365),(250,370),(250,375),(250,406),(251,366),(251,371),(251,375),(251,407),(252,367),(252,372),(252,375),(252,408),(253,368),(253,373),(253,375),(253,409),(254,369),(254,374),(254,375),(254,410),(255,355),(255,370),(255,373),(255,396),(256,356),(256,371),(256,373),(256,397),(257,357),(257,372),(257,373),(257,398),(258,358),(258,370),(258,372),(258,399),(259,359),(259,371),(259,372),(259,400),(260,360),(260,370),(260,371),(260,401),(261,361),(261,370),(261,374),(261,402),(262,362),(262,371),(262,374),(262,403),(263,363),(263,372),(263,374),(263,404),(264,364),(264,373),(264,374),(264,405),(265,355),(265,365),(265,368),(265,376),(266,356),(266,366),(266,368),(266,377),(267,357),(267,367),(267,368),(267,378),(268,358),(268,365),(268,367),(268,379),(269,359),(269,366),(269,367),(269,380),(270,360),(270,365),(270,366),(270,381),(271,361),(271,365),(271,369),(271,382),(272,362),(272,366),(272,369),(272,383),(273,363),(273,367),(273,369),(273,384),(274,364),(274,368),(274,369),(274,385),(275,355),(275,361),(275,364),(275,386),(276,356),(276,362),(276,364),(276,387),(277,357),(277,363),(277,364),(277,388),(278,358),(278,361),(278,363),(278,389),(279,359),(279,362),(279,363),(279,390),(280,360),(280,361),(280,362),(280,391),(281,355),(281,357),(281,358),(281,392),(282,356),(282,357),(282,359),(282,393),(283,355),(283,356),(283,360),(283,394),(284,358),(284,359),(284,360),(284,395),(285,159),(285,194),(285,376),(285,396),(285,406),(285,409),(286,160),(286,195),(286,377),(286,397),(286,407),(286,409),(287,161),(287,196),(287,378),(287,398),(287,408),(287,409),(288,162),(288,197),(288,379),(288,399),(288,406),(288,408),(289,163),(289,198),(289,380),(289,400),(289,407),(289,408),(290,164),(290,199),(290,381),(290,401),(290,406),(290,407),(291,165),(291,200),(291,382),(291,402),(291,406),(291,410),(292,166),(292,201),(292,383),(292,403),(292,407),(292,410),(293,167),(293,202),(293,384),(293,404),(293,408),(293,410),(294,168),(294,203),(294,385),(294,405),(294,409),(294,410),(295,169),(295,204),(295,386),(295,396),(295,402),(295,405),(296,170),(296,205),(296,387),(296,397),(296,403),(296,405),(297,171),(297,206),(297,388),(297,398),(297,404),(297,405),(298,172),(298,207),(298,389),(298,399),(298,402),(298,404),(299,173),(299,208),(299,390),(299,400),(299,403),(299,404),(300,174),(300,209),(300,391),(300,401),(300,402),(300,403),(301,175),(301,210),(301,392),(301,396),(301,398),(301,399),(302,176),(302,211),(302,393),(302,397),(302,398),(302,400),(303,177),(303,212),(303,394),(303,396),(303,397),(303,401),(304,178),(304,213),(304,395),(304,399),(304,400),(304,401),(305,179),(305,214),(305,376),(305,382),(305,385),(305,386),(306,180),(306,215),(306,377),(306,383),(306,385),(306,387),(307,181),(307,216),(307,378),(307,384),(307,385),(307,388),(308,182),(308,217),(308,379),(308,382),(308,384),(308,389),(309,183),(309,218),(309,380),(309,383),(309,384),(309,390),(310,184),(310,219),(310,381),(310,382),(310,383),(310,391),(311,185),(311,220),(311,376),(311,378),(311,379),(311,392),(312,186),(312,221),(312,377),(312,378),(312,380),(312,393),(313,187),(313,222),(313,376),(313,377),(313,381),(313,394),(314,188),(314,223),(314,379),(314,380),(314,381),(314,395),(315,189),(315,224),(315,386),(315,388),(315,389),(315,392),(316,190),(316,225),(316,387),(316,388),(316,390),(316,393),(317,191),(317,226),(317,386),(317,387),(317,391),(317,394),(318,192),(318,227),(318,389),(318,390),(318,391),(318,395),(319,193),(319,228),(319,392),(319,393),(319,394),(319,395),(320,523),(320,543),(320,553),(320,556),(321,524),(321,544),(321,554),(321,556),(322,525),(322,545),(322,555),(322,556),(323,526),(323,546),(323,553),(323,555),(324,527),(324,547),(324,554),(324,555),(325,528),(325,548),(325,553),(325,554),(326,529),(326,549),(326,553),(326,557),(327,530),(327,550),(327,554),(327,557),(328,531),(328,551),(328,555),(328,557),(329,532),(329,552),(329,556),(329,557),(330,533),(330,543),(330,549),(330,552),(331,534),(331,544),(331,550),(331,552),(332,535),(332,545),(332,551),(332,552),(333,536),(333,546),(333,549),(333,551),(334,537),(334,547),(334,550),(334,551),(335,538),(335,548),(335,549),(335,550),(336,539),(336,543),(336,545),(336,546),(337,540),(337,544),(337,545),(337,547),(338,541),(338,543),(338,544),(338,548),(339,542),(339,546),(339,547),(339,548),(340,523),(340,529),(340,532),(340,533),(341,524),(341,530),(341,532),(341,534),(342,525),(342,531),(342,532),(342,535),(343,526),(343,529),(343,531),(343,536),(344,527),(344,530),(344,531),(344,537),(345,528),(345,529),(345,530),(345,538),(346,523),(346,525),(346,526),(346,539),(347,524),(347,525),(347,527),(347,540),(348,523),(348,524),(348,528),(348,541),(349,526),(349,527),(349,528),(349,542),(350,533),(350,535),(350,536),(350,539),(351,534),(351,535),(351,537),(351,540),(352,533),(352,534),(352,538),(352,541),(353,536),(353,537),(353,538),(353,542),(354,539),(354,540),(354,541),(354,542),(355,558),(355,561),(355,565),(356,559),(356,561),(356,566),(357,560),(357,561),(357,567),(358,558),(358,560),(358,568),(359,559),(359,560),(359,569),(360,558),(360,559),(360,570),(361,558),(361,562),(361,571),(362,559),(362,562),(362,572),(363,560),(363,562),(363,573),(364,561),(364,562),(364,574),(365,558),(365,563),(365,575),(366,559),(366,563),(366,576),(367,560),(367,563),(367,577),(368,561),(368,563),(368,578),(369,562),(369,563),(369,579),(370,558),(370,564),(370,580),(371,559),(371,564),(371,581),(372,560),(372,564),(372,582),(373,561),(373,564),(373,583),(374,562),(374,564),(374,584),(375,563),(375,564),(375,585),(376,411),(376,446),(376,565),(376,575),(376,578),(377,412),(377,447),(377,566),(377,576),(377,578),(378,413),(378,448),(378,567),(378,577),(378,578),(379,414),(379,449),(379,568),(379,575),(379,577),(380,415),(380,450),(380,569),(380,576),(380,577),(381,416),(381,451),(381,570),(381,575),(381,576),(382,417),(382,452),(382,571),(382,575),(382,579),(383,418),(383,453),(383,572),(383,576),(383,579),(384,419),(384,454),(384,573),(384,577),(384,579),(385,420),(385,455),(385,574),(385,578),(385,579),(386,421),(386,456),(386,565),(386,571),(386,574),(387,422),(387,457),(387,566),(387,572),(387,574),(388,423),(388,458),(388,567),(388,573),(388,574),(389,424),(389,459),(389,568),(389,571),(389,573),(390,425),(390,460),(390,569),(390,572),(390,573),(391,426),(391,461),(391,570),(391,571),(391,572),(392,427),(392,462),(392,565),(392,567),(392,568),(393,428),(393,463),(393,566),(393,567),(393,569),(394,429),(394,464),(394,565),(394,566),(394,570),(395,430),(395,465),(395,568),(395,569),(395,570),(396,431),(396,466),(396,565),(396,580),(396,583),(397,432),(397,467),(397,566),(397,581),(397,583),(398,433),(398,468),(398,567),(398,582),(398,583),(399,434),(399,469),(399,568),(399,580),(399,582),(400,435),(400,470),(400,569),(400,581),(400,582),(401,436),(401,471),(401,570),(401,580),(401,581),(402,437),(402,472),(402,571),(402,580),(402,584),(403,438),(403,473),(403,572),(403,581),(403,584),(404,439),(404,474),(404,573),(404,582),(404,584),(405,440),(405,475),(405,574),(405,583),(405,584),(406,441),(406,476),(406,575),(406,580),(406,585),(407,442),(407,477),(407,576),(407,581),(407,585),(408,443),(408,478),(408,577),(408,582),(408,585),(409,444),(409,479),(409,578),(409,583),(409,585),(410,445),(410,480),(410,579),(410,584),(410,585),(411,481),(411,491),(411,494),(411,523),(412,482),(412,492),(412,494),(412,524),(413,483),(413,493),(413,494),(413,525),(414,484),(414,491),(414,493),(414,526),(415,485),(415,492),(415,493),(415,527),(416,486),(416,491),(416,492),(416,528),(417,487),(417,491),(417,495),(417,529),(418,488),(418,492),(418,495),(418,530),(419,489),(419,493),(419,495),(419,531),(420,490),(420,494),(420,495),(420,532),(421,481),(421,487),(421,490),(421,533),(422,482),(422,488),(422,490),(422,534),(423,483),(423,489),(423,490),(423,535),(424,484),(424,487),(424,489),(424,536),(425,485),(425,488),(425,489),(425,537),(426,486),(426,487),(426,488),(426,538),(427,481),(427,483),(427,484),(427,539),(428,482),(428,483),(428,485),(428,540),(429,481),(429,482),(429,486),(429,541),(430,484),(430,485),(430,486),(430,542),(431,481),(431,496),(431,499),(431,543),(432,482),(432,497),(432,499),(432,544),(433,483),(433,498),(433,499),(433,545),(434,484),(434,496),(434,498),(434,546),(435,485),(435,497),(435,498),(435,547),(436,486),(436,496),(436,497),(436,548),(437,487),(437,496),(437,500),(437,549),(438,488),(438,497),(438,500),(438,550),(439,489),(439,498),(439,500),(439,551),(440,490),(440,499),(440,500),(440,552),(441,491),(441,496),(441,501),(441,553),(442,492),(442,497),(442,501),(442,554),(443,493),(443,498),(443,501),(443,555),(444,494),(444,499),(444,501),(444,556),(445,495),(445,500),(445,501),(445,557),(446,502),(446,512),(446,515),(446,523),(447,503),(447,513),(447,515),(447,524),(448,504),(448,514),(448,515),(448,525),(449,505),(449,512),(449,514),(449,526),(450,506),(450,513),(450,514),(450,527),(451,507),(451,512),(451,513),(451,528),(452,508),(452,512),(452,516),(452,529),(453,509),(453,513),(453,516),(453,530),(454,510),(454,514),(454,516),(454,531),(455,511),(455,515),(455,516),(455,532),(456,502),(456,508),(456,511),(456,533),(457,503),(457,509),(457,511),(457,534),(458,504),(458,510),(458,511),(458,535),(459,505),(459,508),(459,510),(459,536),(460,506),(460,509),(460,510),(460,537),(461,507),(461,508),(461,509),(461,538),(462,502),(462,504),(462,505),(462,539),(463,503),(463,504),(463,506),(463,540),(464,502),(464,503),(464,507),(464,541),(465,505),(465,506),(465,507),(465,542),(466,502),(466,517),(466,520),(466,543),(467,503),(467,518),(467,520),(467,544),(468,504),(468,519),(468,520),(468,545),(469,505),(469,517),(469,519),(469,546),(470,506),(470,518),(470,519),(470,547),(471,507),(471,517),(471,518),(471,548),(472,508),(472,517),(472,521),(472,549),(473,509),(473,518),(473,521),(473,550),(474,510),(474,519),(474,521),(474,551),(475,511),(475,520),(475,521),(475,552),(476,512),(476,517),(476,522),(476,553),(477,513),(477,518),(477,522),(477,554),(478,514),(478,519),(478,522),(478,555),(479,515),(479,520),(479,522),(479,556),(480,516),(480,521),(480,522),(480,557),(481,594),(481,615),(481,618),(482,595),(482,616),(482,618),(483,596),(483,617),(483,618),(484,597),(484,615),(484,617),(485,598),(485,616),(485,617),(486,599),(486,615),(486,616),(487,600),(487,615),(487,619),(488,601),(488,616),(488,619),(489,602),(489,617),(489,619),(490,603),(490,618),(490,619),(491,604),(491,615),(491,620),(492,605),(492,616),(492,620),(493,606),(493,617),(493,620),(494,607),(494,618),(494,620),(495,608),(495,619),(495,620),(496,609),(496,615),(496,621),(497,610),(497,616),(497,621),(498,611),(498,617),(498,621),(499,612),(499,618),(499,621),(500,613),(500,619),(500,621),(501,614),(501,620),(501,621),(502,594),(502,622),(502,625),(503,595),(503,623),(503,625),(504,596),(504,624),(504,625),(505,597),(505,622),(505,624),(506,598),(506,623),(506,624),(507,599),(507,622),(507,623),(508,600),(508,622),(508,626),(509,601),(509,623),(509,626),(510,602),(510,624),(510,626),(511,603),(511,625),(511,626),(512,604),(512,622),(512,627),(513,605),(513,623),(513,627),(514,606),(514,624),(514,627),(515,607),(515,625),(515,627),(516,608),(516,626),(516,627),(517,609),(517,622),(517,628),(518,610),(518,623),(518,628),(519,611),(519,624),(519,628),(520,612),(520,625),(520,628),(521,613),(521,626),(521,628),(522,614),(522,627),(522,628),(523,594),(523,604),(523,607),(524,595),(524,605),(524,607),(525,596),(525,606),(525,607),(526,597),(526,604),(526,606),(527,598),(527,605),(527,606),(528,599),(528,604),(528,605),(529,600),(529,604),(529,608),(530,601),(530,605),(530,608),(531,602),(531,606),(531,608),(532,603),(532,607),(532,608),(533,594),(533,600),(533,603),(534,595),(534,601),(534,603),(535,596),(535,602),(535,603),(536,597),(536,600),(536,602),(537,598),(537,601),(537,602),(538,599),(538,600),(538,601),(539,594),(539,596),(539,597),(540,595),(540,596),(540,598),(541,594),(541,595),(541,599),(542,597),(542,598),(542,599),(543,594),(543,609),(543,612),(544,595),(544,610),(544,612),(545,596),(545,611),(545,612),(546,597),(546,609),(546,611),(547,598),(547,610),(547,611),(548,599),(548,609),(548,610),(549,600),(549,609),(549,613),(550,601),(550,610),(550,613),(551,602),(551,611),(551,613),(552,603),(552,612),(552,613),(553,604),(553,609),(553,614),(554,605),(554,610),(554,614),(555,606),(555,611),(555,614),(556,607),(556,612),(556,614),(557,608),(557,613),(557,614),(558,586),(558,587),(559,586),(559,588),(560,586),(560,589),(561,586),(561,590),(562,586),(562,591),(563,586),(563,592),(564,586),(564,593),(565,481),(565,502),(565,587),(565,590),(566,482),(566,503),(566,588),(566,590),(567,483),(567,504),(567,589),(567,590),(568,484),(568,505),(568,587),(568,589),(569,485),(569,506),(569,588),(569,589),(570,486),(570,507),(570,587),(570,588),(571,487),(571,508),(571,587),(571,591),(572,488),(572,509),(572,588),(572,591),(573,489),(573,510),(573,589),(573,591),(574,490),(574,511),(574,590),(574,591),(575,491),(575,512),(575,587),(575,592),(576,492),(576,513),(576,588),(576,592),(577,493),(577,514),(577,589),(577,592),(578,494),(578,515),(578,590),(578,592),(579,495),(579,516),(579,591),(579,592),(580,496),(580,517),(580,587),(580,593),(581,497),(581,518),(581,588),(581,593),(582,498),(582,519),(582,589),(582,593),(583,499),(583,520),(583,590),(583,593),(584,500),(584,521),(584,591),(584,593),(585,501),(585,522),(585,592),(585,593),(586,629),(587,615),(587,622),(587,629),(588,616),(588,623),(588,629),(589,617),(589,624),(589,629),(590,618),(590,625),(590,629),(591,619),(591,626),(591,629),(592,620),(592,627),(592,629),(593,621),(593,628),(593,629),(594,632),(594,635),(595,633),(595,635),(596,634),(596,635),(597,632),(597,634),(598,633),(598,634),(599,632),(599,633),(600,632),(600,636),(601,633),(601,636),(602,634),(602,636),(603,635),(603,636),(604,632),(604,637),(605,633),(605,637),(606,634),(606,637),(607,635),(607,637),(608,636),(608,637),(609,632),(609,638),(610,633),(610,638),(611,634),(611,638),(612,635),(612,638),(613,636),(613,638),(614,637),(614,638),(615,630),(615,632),(616,630),(616,633),(617,630),(617,634),(618,630),(618,635),(619,630),(619,636),(620,630),(620,637),(621,630),(621,638),(622,631),(622,632),(623,631),(623,633),(624,631),(624,634),(625,631),(625,635),(626,631),(626,636),(627,631),(627,637),(628,631),(628,638),(629,630),(629,631),(630,639),(631,639),(632,639),(633,639),(634,639),(635,639),(636,639),(637,639),(638,639)],640)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,12),(7,11),(8,11),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,11),(6,11),(7,9),(8,9),(9,14),(10,12),(11,13),(12,15),(13,15),(15,14)],16)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,10),(6,9),(7,9),(7,11),(8,10),(8,11),(9,12),(10,13),(11,12),(11,13),(12,14),(13,14),(14,15)],16)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)=>([(0,1)],2)
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,14),(4,14),(5,12),(6,8),(7,13),(7,15),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,9),(15,10),(16,12),(16,15)],17)=>([(0,2),(2,1)],3)
([(0,5),(0,6),(0,7),(2,11),(3,10),(4,9),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,1),(9,16),(10,16),(11,16),(12,4),(12,15),(13,3),(13,15),(14,2),(14,15),(15,9),(15,10),(15,11),(16,8)],17)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
([(0,9),(1,16),(3,12),(4,12),(5,14),(6,13),(7,6),(7,15),(8,5),(8,15),(9,10),(10,3),(10,4),(11,7),(11,8),(12,11),(13,16),(14,16),(15,1),(15,13),(15,14),(16,2)],17)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,31),(2,32),(2,33),(2,34),(2,35),(2,36),(2,37),(2,45),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(3,37),(3,44),(4,20),(4,21),(4,22),(4,23),(4,24),(4,30),(4,36),(4,43),(5,16),(5,17),(5,18),(5,19),(5,24),(5,29),(5,35),(5,42),(6,13),(6,14),(6,15),(6,19),(6,23),(6,28),(6,34),(6,41),(7,11),(7,12),(7,15),(7,18),(7,22),(7,27),(7,33),(7,40),(8,10),(8,12),(8,14),(8,17),(8,21),(8,26),(8,32),(8,39),(9,10),(9,11),(9,13),(9,16),(9,20),(9,25),(9,31),(9,38),(10,46),(10,49),(10,52),(10,58),(10,68),(10,83),(10,104),(11,46),(11,47),(11,50),(11,56),(11,66),(11,81),(11,102),(12,46),(12,48),(12,51),(12,57),(12,67),(12,82),(12,103),(13,47),(13,49),(13,53),(13,59),(13,69),(13,84),(13,105),(14,48),(14,49),(14,54),(14,60),(14,70),(14,85),(14,106),(15,47),(15,48),(15,55),(15,61),(15,71),(15,86),(15,107),(16,50),(16,52),(16,53),(16,62),(16,72),(16,87),(16,108),(17,51),(17,52),(17,54),(17,63),(17,73),(17,88),(17,109),(18,50),(18,51),(18,55),(18,64),(18,74),(18,89),(18,110),(19,53),(19,54),(19,55),(19,65),(19,75),(19,90),(19,111),(20,56),(20,58),(20,59),(20,62),(20,76),(20,91),(20,112),(21,57),(21,58),(21,60),(21,63),(21,77),(21,92),(21,113),(22,56),(22,57),(22,61),(22,64),(22,78),(22,93),(22,114),(23,59),(23,60),(23,61),(23,65),(23,79),(23,94),(23,115),(24,62),(24,63),(24,64),(24,65),(24,80),(24,95),(24,116),(25,66),(25,68),(25,69),(25,72),(25,76),(25,96),(25,117),(26,67),(26,68),(26,70),(26,73),(26,77),(26,97),(26,118),(27,66),(27,67),(27,71),(27,74),(27,78),(27,98),(27,119),(28,69),(28,70),(28,71),(28,75),(28,79),(28,99),(28,120),(29,72),(29,73),(29,74),(29,75),(29,80),(29,100),(29,121),(30,76),(30,77),(30,78),(30,79),(30,80),(30,101),(30,122),(31,81),(31,83),(31,84),(31,87),(31,91),(31,96),(31,123),(32,82),(32,83),(32,85),(32,88),(32,92),(32,97),(32,124),(33,81),(33,82),(33,86),(33,89),(33,93),(33,98),(33,125),(34,84),(34,85),(34,86),(34,90),(34,94),(34,99),(34,126),(35,87),(35,88),(35,89),(35,90),(35,95),(35,100),(35,127),(36,91),(36,92),(36,93),(36,94),(36,95),(36,101),(36,128),(37,96),(37,97),(37,98),(37,99),(37,100),(37,101),(37,129),(38,102),(38,104),(38,105),(38,108),(38,112),(38,117),(38,123),(39,103),(39,104),(39,106),(39,109),(39,113),(39,118),(39,124),(40,102),(40,103),(40,107),(40,110),(40,114),(40,119),(40,125),(41,105),(41,106),(41,107),(41,111),(41,115),(41,120),(41,126),(42,108),(42,109),(42,110),(42,111),(42,116),(42,121),(42,127),(43,112),(43,113),(43,114),(43,115),(43,116),(43,122),(43,128),(44,117),(44,118),(44,119),(44,120),(44,121),(44,122),(44,129),(45,123),(45,124),(45,125),(45,126),(45,127),(45,128),(45,129),(46,133),(46,134),(46,144),(46,154),(46,174),(46,209),(47,130),(47,134),(47,141),(47,151),(47,171),(47,206),(48,131),(48,134),(48,142),(48,152),(48,172),(48,207),(49,132),(49,134),(49,143),(49,153),(49,173),(49,208),(50,130),(50,133),(50,135),(50,145),(50,165),(50,200),(51,131),(51,133),(51,136),(51,146),(51,166),(51,201),(52,132),(52,133),(52,137),(52,147),(52,167),(52,202),(53,130),(53,132),(53,138),(53,148),(53,168),(53,203),(54,131),(54,132),(54,139),(54,149),(54,169),(54,204),(55,130),(55,131),(55,140),(55,150),(55,170),(55,205),(56,135),(56,141),(56,144),(56,155),(56,175),(56,210),(57,136),(57,142),(57,144),(57,156),(57,176),(57,211),(58,137),(58,143),(58,144),(58,157),(58,177),(58,212),(59,138),(59,141),(59,143),(59,158),(59,178),(59,213),(60,139),(60,142),(60,143),(60,159),(60,179),(60,214),(61,140),(61,141),(61,142),(61,160),(61,180),(61,215),(62,135),(62,137),(62,138),(62,161),(62,181),(62,216),(63,136),(63,137),(63,139),(63,162),(63,182),(63,217),(64,135),(64,136),(64,140),(64,163),(64,183),(64,218),(65,138),(65,139),(65,140),(65,164),(65,184),(65,219),(66,145),(66,151),(66,154),(66,155),(66,185),(66,220),(67,146),(67,152),(67,154),(67,156),(67,186),(67,221),(68,147),(68,153),(68,154),(68,157),(68,187),(68,222),(69,148),(69,151),(69,153),(69,158),(69,188),(69,223),(70,149),(70,152),(70,153),(70,159),(70,189),(70,224),(71,150),(71,151),(71,152),(71,160),(71,190),(71,225),(72,145),(72,147),(72,148),(72,161),(72,191),(72,226),(73,146),(73,147),(73,149),(73,162),(73,192),(73,227),(74,145),(74,146),(74,150),(74,163),(74,193),(74,228),(75,148),(75,149),(75,150),(75,164),(75,194),(75,229),(76,155),(76,157),(76,158),(76,161),(76,195),(76,230),(77,156),(77,157),(77,159),(77,162),(77,196),(77,231),(78,155),(78,156),(78,160),(78,163),(78,197),(78,232),(79,158),(79,159),(79,160),(79,164),(79,198),(79,233),(80,161),(80,162),(80,163),(80,164),(80,199),(80,234),(81,165),(81,171),(81,174),(81,175),(81,185),(81,235),(82,166),(82,172),(82,174),(82,176),(82,186),(82,236),(83,167),(83,173),(83,174),(83,177),(83,187),(83,237),(84,168),(84,171),(84,173),(84,178),(84,188),(84,238),(85,169),(85,172),(85,173),(85,179),(85,189),(85,239),(86,170),(86,171),(86,172),(86,180),(86,190),(86,240),(87,165),(87,167),(87,168),(87,181),(87,191),(87,241),(88,166),(88,167),(88,169),(88,182),(88,192),(88,242),(89,165),(89,166),(89,170),(89,183),(89,193),(89,243),(90,168),(90,169),(90,170),(90,184),(90,194),(90,244),(91,175),(91,177),(91,178),(91,181),(91,195),(91,245),(92,176),(92,177),(92,179),(92,182),(92,196),(92,246),(93,175),(93,176),(93,180),(93,183),(93,197),(93,247),(94,178),(94,179),(94,180),(94,184),(94,198),(94,248),(95,181),(95,182),(95,183),(95,184),(95,199),(95,249),(96,185),(96,187),(96,188),(96,191),(96,195),(96,250),(97,186),(97,187),(97,189),(97,192),(97,196),(97,251),(98,185),(98,186),(98,190),(98,193),(98,197),(98,252),(99,188),(99,189),(99,190),(99,194),(99,198),(99,253),(100,191),(100,192),(100,193),(100,194),(100,199),(100,254),(101,195),(101,196),(101,197),(101,198),(101,199),(101,255),(102,200),(102,206),(102,209),(102,210),(102,220),(102,235),(103,201),(103,207),(103,209),(103,211),(103,221),(103,236),(104,202),(104,208),(104,209),(104,212),(104,222),(104,237),(105,203),(105,206),(105,208),(105,213),(105,223),(105,238),(106,204),(106,207),(106,208),(106,214),(106,224),(106,239),(107,205),(107,206),(107,207),(107,215),(107,225),(107,240),(108,200),(108,202),(108,203),(108,216),(108,226),(108,241),(109,201),(109,202),(109,204),(109,217),(109,227),(109,242),(110,200),(110,201),(110,205),(110,218),(110,228),(110,243),(111,203),(111,204),(111,205),(111,219),(111,229),(111,244),(112,210),(112,212),(112,213),(112,216),(112,230),(112,245),(113,211),(113,212),(113,214),(113,217),(113,231),(113,246),(114,210),(114,211),(114,215),(114,218),(114,232),(114,247),(115,213),(115,214),(115,215),(115,219),(115,233),(115,248),(116,216),(116,217),(116,218),(116,219),(116,234),(116,249),(117,220),(117,222),(117,223),(117,226),(117,230),(117,250),(118,221),(118,222),(118,224),(118,227),(118,231),(118,251),(119,220),(119,221),(119,225),(119,228),(119,232),(119,252),(120,223),(120,224),(120,225),(120,229),(120,233),(120,253),(121,226),(121,227),(121,228),(121,229),(121,234),(121,254),(122,230),(122,231),(122,232),(122,233),(122,234),(122,255),(123,235),(123,237),(123,238),(123,241),(123,245),(123,250),(124,236),(124,237),(124,239),(124,242),(124,246),(124,251),(125,235),(125,236),(125,240),(125,243),(125,247),(125,252),(126,238),(126,239),(126,240),(126,244),(126,248),(126,253),(127,241),(127,242),(127,243),(127,244),(127,249),(127,254),(128,245),(128,246),(128,247),(128,248),(128,249),(128,255),(129,250),(129,251),(129,252),(129,253),(129,254),(129,255),(130,266),(130,271),(130,276),(130,307),(130,342),(131,267),(131,272),(131,276),(131,308),(131,343),(132,268),(132,273),(132,276),(132,309),(132,344),(133,269),(133,274),(133,276),(133,310),(133,345),(134,270),(134,275),(134,276),(134,311),(134,346),(135,256),(135,271),(135,274),(135,297),(135,332),(136,257),(136,272),(136,274),(136,298),(136,333),(137,258),(137,273),(137,274),(137,299),(137,334),(138,259),(138,271),(138,273),(138,300),(138,335),(139,260),(139,272),(139,273),(139,301),(139,336),(140,261),(140,271),(140,272),(140,302),(140,337),(141,262),(141,271),(141,275),(141,303),(141,338),(142,263),(142,272),(142,275),(142,304),(142,339),(143,264),(143,273),(143,275),(143,305),(143,340),(144,265),(144,274),(144,275),(144,306),(144,341),(145,256),(145,266),(145,269),(145,277),(145,312),(146,257),(146,267),(146,269),(146,278),(146,313),(147,258),(147,268),(147,269),(147,279),(147,314),(148,259),(148,266),(148,268),(148,280),(148,315),(149,260),(149,267),(149,268),(149,281),(149,316),(150,261),(150,266),(150,267),(150,282),(150,317),(151,262),(151,266),(151,270),(151,283),(151,318),(152,263),(152,267),(152,270),(152,284),(152,319),(153,264),(153,268),(153,270),(153,285),(153,320),(154,265),(154,269),(154,270),(154,286),(154,321),(155,256),(155,262),(155,265),(155,287),(155,322),(156,257),(156,263),(156,265),(156,288),(156,323),(157,258),(157,264),(157,265),(157,289),(157,324),(158,259),(158,262),(158,264),(158,290),(158,325),(159,260),(159,263),(159,264),(159,291),(159,326),(160,261),(160,262),(160,263),(160,292),(160,327),(161,256),(161,258),(161,259),(161,293),(161,328),(162,257),(162,258),(162,260),(162,294),(162,329),(163,256),(163,257),(163,261),(163,295),(163,330),(164,259),(164,260),(164,261),(164,296),(164,331),(165,277),(165,297),(165,307),(165,310),(165,347),(166,278),(166,298),(166,308),(166,310),(166,348),(167,279),(167,299),(167,309),(167,310),(167,349),(168,280),(168,300),(168,307),(168,309),(168,350),(169,281),(169,301),(169,308),(169,309),(169,351),(170,282),(170,302),(170,307),(170,308),(170,352),(171,283),(171,303),(171,307),(171,311),(171,353),(172,284),(172,304),(172,308),(172,311),(172,354),(173,285),(173,305),(173,309),(173,311),(173,355),(174,286),(174,306),(174,310),(174,311),(174,356),(175,287),(175,297),(175,303),(175,306),(175,357),(176,288),(176,298),(176,304),(176,306),(176,358),(177,289),(177,299),(177,305),(177,306),(177,359),(178,290),(178,300),(178,303),(178,305),(178,360),(179,291),(179,301),(179,304),(179,305),(179,361),(180,292),(180,302),(180,303),(180,304),(180,362),(181,293),(181,297),(181,299),(181,300),(181,363),(182,294),(182,298),(182,299),(182,301),(182,364),(183,295),(183,297),(183,298),(183,302),(183,365),(184,296),(184,300),(184,301),(184,302),(184,366),(185,277),(185,283),(185,286),(185,287),(185,367),(186,278),(186,284),(186,286),(186,288),(186,368),(187,279),(187,285),(187,286),(187,289),(187,369),(188,280),(188,283),(188,285),(188,290),(188,370),(189,281),(189,284),(189,285),(189,291),(189,371),(190,282),(190,283),(190,284),(190,292),(190,372),(191,277),(191,279),(191,280),(191,293),(191,373),(192,278),(192,279),(192,281),(192,294),(192,374),(193,277),(193,278),(193,282),(193,295),(193,375),(194,280),(194,281),(194,282),(194,296),(194,376),(195,287),(195,289),(195,290),(195,293),(195,377),(196,288),(196,289),(196,291),(196,294),(196,378),(197,287),(197,288),(197,292),(197,295),(197,379),(198,290),(198,291),(198,292),(198,296),(198,380),(199,293),(199,294),(199,295),(199,296),(199,381),(200,312),(200,332),(200,342),(200,345),(200,347),(201,313),(201,333),(201,343),(201,345),(201,348),(202,314),(202,334),(202,344),(202,345),(202,349),(203,315),(203,335),(203,342),(203,344),(203,350),(204,316),(204,336),(204,343),(204,344),(204,351),(205,317),(205,337),(205,342),(205,343),(205,352),(206,318),(206,338),(206,342),(206,346),(206,353),(207,319),(207,339),(207,343),(207,346),(207,354),(208,320),(208,340),(208,344),(208,346),(208,355),(209,321),(209,341),(209,345),(209,346),(209,356),(210,322),(210,332),(210,338),(210,341),(210,357),(211,323),(211,333),(211,339),(211,341),(211,358),(212,324),(212,334),(212,340),(212,341),(212,359),(213,325),(213,335),(213,338),(213,340),(213,360),(214,326),(214,336),(214,339),(214,340),(214,361),(215,327),(215,337),(215,338),(215,339),(215,362),(216,328),(216,332),(216,334),(216,335),(216,363),(217,329),(217,333),(217,334),(217,336),(217,364),(218,330),(218,332),(218,333),(218,337),(218,365),(219,331),(219,335),(219,336),(219,337),(219,366),(220,312),(220,318),(220,321),(220,322),(220,367),(221,313),(221,319),(221,321),(221,323),(221,368),(222,314),(222,320),(222,321),(222,324),(222,369),(223,315),(223,318),(223,320),(223,325),(223,370),(224,316),(224,319),(224,320),(224,326),(224,371),(225,317),(225,318),(225,319),(225,327),(225,372),(226,312),(226,314),(226,315),(226,328),(226,373),(227,313),(227,314),(227,316),(227,329),(227,374),(228,312),(228,313),(228,317),(228,330),(228,375),(229,315),(229,316),(229,317),(229,331),(229,376),(230,322),(230,324),(230,325),(230,328),(230,377),(231,323),(231,324),(231,326),(231,329),(231,378),(232,322),(232,323),(232,327),(232,330),(232,379),(233,325),(233,326),(233,327),(233,331),(233,380),(234,328),(234,329),(234,330),(234,331),(234,381),(235,347),(235,353),(235,356),(235,357),(235,367),(236,348),(236,354),(236,356),(236,358),(236,368),(237,349),(237,355),(237,356),(237,359),(237,369),(238,350),(238,353),(238,355),(238,360),(238,370),(239,351),(239,354),(239,355),(239,361),(239,371),(240,352),(240,353),(240,354),(240,362),(240,372),(241,347),(241,349),(241,350),(241,363),(241,373),(242,348),(242,349),(242,351),(242,364),(242,374),(243,347),(243,348),(243,352),(243,365),(243,375),(244,350),(244,351),(244,352),(244,366),(244,376),(245,357),(245,359),(245,360),(245,363),(245,377),(246,358),(246,359),(246,361),(246,364),(246,378),(247,357),(247,358),(247,362),(247,365),(247,379),(248,360),(248,361),(248,362),(248,366),(248,380),(249,363),(249,364),(249,365),(249,366),(249,381),(250,367),(250,369),(250,370),(250,373),(250,377),(251,368),(251,369),(251,371),(251,374),(251,378),(252,367),(252,368),(252,372),(252,375),(252,379),(253,370),(253,371),(253,372),(253,376),(253,380),(254,373),(254,374),(254,375),(254,376),(254,381),(255,377),(255,378),(255,379),(255,380),(255,381),(256,417),(256,438),(256,459),(256,462),(257,418),(257,439),(257,460),(257,462),(258,419),(258,440),(258,461),(258,462),(259,420),(259,441),(259,459),(259,461),(260,421),(260,442),(260,460),(260,461),(261,422),(261,443),(261,459),(261,460),(262,423),(262,444),(262,459),(262,463),(263,424),(263,445),(263,460),(263,463),(264,425),(264,446),(264,461),(264,463),(265,426),(265,447),(265,462),(265,463),(266,427),(266,448),(266,459),(266,464),(267,428),(267,449),(267,460),(267,464),(268,429),(268,450),(268,461),(268,464),(269,430),(269,451),(269,462),(269,464),(270,431),(270,452),(270,463),(270,464),(271,432),(271,453),(271,459),(271,465),(272,433),(272,454),(272,460),(272,465),(273,434),(273,455),(273,461),(273,465),(274,435),(274,456),(274,462),(274,465),(275,436),(275,457),(275,463),(275,465),(276,437),(276,458),(276,464),(276,465),(277,382),(277,438),(277,448),(277,451),(278,383),(278,439),(278,449),(278,451),(279,384),(279,440),(279,450),(279,451),(280,385),(280,441),(280,448),(280,450),(281,386),(281,442),(281,449),(281,450),(282,387),(282,443),(282,448),(282,449),(283,388),(283,444),(283,448),(283,452),(284,389),(284,445),(284,449),(284,452),(285,390),(285,446),(285,450),(285,452),(286,391),(286,447),(286,451),(286,452),(287,392),(287,438),(287,444),(287,447),(288,393),(288,439),(288,445),(288,447),(289,394),(289,440),(289,446),(289,447),(290,395),(290,441),(290,444),(290,446),(291,396),(291,442),(291,445),(291,446),(292,397),(292,443),(292,444),(292,445),(293,398),(293,438),(293,440),(293,441),(294,399),(294,439),(294,440),(294,442),(295,400),(295,438),(295,439),(295,443),(296,401),(296,441),(296,442),(296,443),(297,402),(297,438),(297,453),(297,456),(298,403),(298,439),(298,454),(298,456),(299,404),(299,440),(299,455),(299,456),(300,405),(300,441),(300,453),(300,455),(301,406),(301,442),(301,454),(301,455),(302,407),(302,443),(302,453),(302,454),(303,408),(303,444),(303,453),(303,457),(304,409),(304,445),(304,454),(304,457),(305,410),(305,446),(305,455),(305,457),(306,411),(306,447),(306,456),(306,457),(307,412),(307,448),(307,453),(307,458),(308,413),(308,449),(308,454),(308,458),(309,414),(309,450),(309,455),(309,458),(310,415),(310,451),(310,456),(310,458),(311,416),(311,452),(311,457),(311,458),(312,382),(312,417),(312,427),(312,430),(313,383),(313,418),(313,428),(313,430),(314,384),(314,419),(314,429),(314,430),(315,385),(315,420),(315,427),(315,429),(316,386),(316,421),(316,428),(316,429),(317,387),(317,422),(317,427),(317,428),(318,388),(318,423),(318,427),(318,431),(319,389),(319,424),(319,428),(319,431),(320,390),(320,425),(320,429),(320,431),(321,391),(321,426),(321,430),(321,431),(322,392),(322,417),(322,423),(322,426),(323,393),(323,418),(323,424),(323,426),(324,394),(324,419),(324,425),(324,426),(325,395),(325,420),(325,423),(325,425),(326,396),(326,421),(326,424),(326,425),(327,397),(327,422),(327,423),(327,424),(328,398),(328,417),(328,419),(328,420),(329,399),(329,418),(329,419),(329,421),(330,400),(330,417),(330,418),(330,422),(331,401),(331,420),(331,421),(331,422),(332,402),(332,417),(332,432),(332,435),(333,403),(333,418),(333,433),(333,435),(334,404),(334,419),(334,434),(334,435),(335,405),(335,420),(335,432),(335,434),(336,406),(336,421),(336,433),(336,434),(337,407),(337,422),(337,432),(337,433),(338,408),(338,423),(338,432),(338,436),(339,409),(339,424),(339,433),(339,436),(340,410),(340,425),(340,434),(340,436),(341,411),(341,426),(341,435),(341,436),(342,412),(342,427),(342,432),(342,437),(343,413),(343,428),(343,433),(343,437),(344,414),(344,429),(344,434),(344,437),(345,415),(345,430),(345,435),(345,437),(346,416),(346,431),(346,436),(346,437),(347,382),(347,402),(347,412),(347,415),(348,383),(348,403),(348,413),(348,415),(349,384),(349,404),(349,414),(349,415),(350,385),(350,405),(350,412),(350,414),(351,386),(351,406),(351,413),(351,414),(352,387),(352,407),(352,412),(352,413),(353,388),(353,408),(353,412),(353,416),(354,389),(354,409),(354,413),(354,416),(355,390),(355,410),(355,414),(355,416),(356,391),(356,411),(356,415),(356,416),(357,392),(357,402),(357,408),(357,411),(358,393),(358,403),(358,409),(358,411),(359,394),(359,404),(359,410),(359,411),(360,395),(360,405),(360,408),(360,410),(361,396),(361,406),(361,409),(361,410),(362,397),(362,407),(362,408),(362,409),(363,398),(363,402),(363,404),(363,405),(364,399),(364,403),(364,404),(364,406),(365,400),(365,402),(365,403),(365,407),(366,401),(366,405),(366,406),(366,407),(367,382),(367,388),(367,391),(367,392),(368,383),(368,389),(368,391),(368,393),(369,384),(369,390),(369,391),(369,394),(370,385),(370,388),(370,390),(370,395),(371,386),(371,389),(371,390),(371,396),(372,387),(372,388),(372,389),(372,397),(373,382),(373,384),(373,385),(373,398),(374,383),(374,384),(374,386),(374,399),(375,382),(375,383),(375,387),(375,400),(376,385),(376,386),(376,387),(376,401),(377,392),(377,394),(377,395),(377,398),(378,393),(378,394),(378,396),(378,399),(379,392),(379,393),(379,397),(379,400),(380,395),(380,396),(380,397),(380,401),(381,398),(381,399),(381,400),(381,401),(382,466),(382,476),(382,479),(383,467),(383,477),(383,479),(384,468),(384,478),(384,479),(385,469),(385,476),(385,478),(386,470),(386,477),(386,478),(387,471),(387,476),(387,477),(388,472),(388,476),(388,480),(389,473),(389,477),(389,480),(390,474),(390,478),(390,480),(391,475),(391,479),(391,480),(392,466),(392,472),(392,475),(393,467),(393,473),(393,475),(394,468),(394,474),(394,475),(395,469),(395,472),(395,474),(396,470),(396,473),(396,474),(397,471),(397,472),(397,473),(398,466),(398,468),(398,469),(399,467),(399,468),(399,470),(400,466),(400,467),(400,471),(401,469),(401,470),(401,471),(402,466),(402,481),(402,484),(403,467),(403,482),(403,484),(404,468),(404,483),(404,484),(405,469),(405,481),(405,483),(406,470),(406,482),(406,483),(407,471),(407,481),(407,482),(408,472),(408,481),(408,485),(409,473),(409,482),(409,485),(410,474),(410,483),(410,485),(411,475),(411,484),(411,485),(412,476),(412,481),(412,486),(413,477),(413,482),(413,486),(414,478),(414,483),(414,486),(415,479),(415,484),(415,486),(416,480),(416,485),(416,486),(417,466),(417,487),(417,490),(418,467),(418,488),(418,490),(419,468),(419,489),(419,490),(420,469),(420,487),(420,489),(421,470),(421,488),(421,489),(422,471),(422,487),(422,488),(423,472),(423,487),(423,491),(424,473),(424,488),(424,491),(425,474),(425,489),(425,491),(426,475),(426,490),(426,491),(427,476),(427,487),(427,492),(428,477),(428,488),(428,492),(429,478),(429,489),(429,492),(430,479),(430,490),(430,492),(431,480),(431,491),(431,492),(432,481),(432,487),(432,493),(433,482),(433,488),(433,493),(434,483),(434,489),(434,493),(435,484),(435,490),(435,493),(436,485),(436,491),(436,493),(437,486),(437,492),(437,493),(438,466),(438,494),(438,497),(439,467),(439,495),(439,497),(440,468),(440,496),(440,497),(441,469),(441,494),(441,496),(442,470),(442,495),(442,496),(443,471),(443,494),(443,495),(444,472),(444,494),(444,498),(445,473),(445,495),(445,498),(446,474),(446,496),(446,498),(447,475),(447,497),(447,498),(448,476),(448,494),(448,499),(449,477),(449,495),(449,499),(450,478),(450,496),(450,499),(451,479),(451,497),(451,499),(452,480),(452,498),(452,499),(453,481),(453,494),(453,500),(454,482),(454,495),(454,500),(455,483),(455,496),(455,500),(456,484),(456,497),(456,500),(457,485),(457,498),(457,500),(458,486),(458,499),(458,500),(459,487),(459,494),(459,501),(460,488),(460,495),(460,501),(461,489),(461,496),(461,501),(462,490),(462,497),(462,501),(463,491),(463,498),(463,501),(464,492),(464,499),(464,501),(465,493),(465,500),(465,501),(466,502),(466,505),(467,503),(467,505),(468,504),(468,505),(469,502),(469,504),(470,503),(470,504),(471,502),(471,503),(472,502),(472,506),(473,503),(473,506),(474,504),(474,506),(475,505),(475,506),(476,502),(476,507),(477,503),(477,507),(478,504),(478,507),(479,505),(479,507),(480,506),(480,507),(481,502),(481,508),(482,503),(482,508),(483,504),(483,508),(484,505),(484,508),(485,506),(485,508),(486,507),(486,508),(487,502),(487,509),(488,503),(488,509),(489,504),(489,509),(490,505),(490,509),(491,506),(491,509),(492,507),(492,509),(493,508),(493,509),(494,502),(494,510),(495,503),(495,510),(496,504),(496,510),(497,505),(497,510),(498,506),(498,510),(499,507),(499,510),(500,508),(500,510),(501,509),(501,510),(502,511),(503,511),(504,511),(505,511),(506,511),(507,511),(508,511),(509,511),(510,511)],512)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,9),(6,9),(7,12),(8,12),(9,13),(10,14),(11,14),(12,13),(12,15),(13,16),(14,15),(15,16)],17)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,11),(3,10),(4,9),(5,9),(6,12),(7,12),(8,10),(8,11),(9,15),(10,14),(11,14),(12,13),(13,16),(14,16),(16,15)],17)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,12),(7,11),(8,11),(9,13),(10,13),(11,15),(12,14),(13,14),(13,15),(14,16),(15,16)],17)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,16),(5,10),(6,9),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,12),(16,12)],17)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,9),(6,12),(7,12),(8,9),(8,13),(9,16),(10,14),(11,14),(12,13),(13,16),(14,15),(16,15)],17)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,15),(11,14),(12,16),(13,16),(15,12),(15,13),(16,14)],17)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,15),(10,14),(11,14),(12,16),(13,16),(14,15),(15,12),(15,13)],17)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],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),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,3),(0,4),(0,5),(1,8),(1,10),(2,7),(2,9),(3,11),(3,12),(4,2),(4,11),(4,13),(5,1),(5,12),(5,13),(6,17),(7,15),(8,16),(9,6),(9,15),(10,6),(10,16),(11,7),(11,14),(12,8),(12,14),(13,9),(13,10),(13,14),(14,15),(14,16),(15,17),(16,17)],18)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(2,17),(3,13),(4,12),(5,12),(5,15),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,14),(16,9),(16,14),(17,15),(17,16)],18)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,17),(9,16),(10,16),(11,8),(12,8),(13,9),(14,10),(15,11),(16,11),(16,12),(17,9),(17,10)],18)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,12),(5,13),(6,14),(6,17),(7,15),(7,17),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,13),(17,10),(17,11)],18)=>([(0,1)],2)
([(0,7),(0,8),(2,6),(2,17),(3,14),(4,9),(5,11),(6,5),(6,15),(7,2),(7,16),(8,3),(8,16),(9,1),(10,13),(11,12),(12,9),(13,4),(13,12),(14,10),(15,11),(15,13),(16,14),(16,17),(17,10),(17,15)],18)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,19),(3,20),(3,21),(3,22),(3,23),(3,29),(3,35),(4,15),(4,16),(4,17),(4,18),(4,23),(4,28),(4,34),(5,12),(5,13),(5,14),(5,18),(5,22),(5,27),(5,33),(6,10),(6,11),(6,14),(6,17),(6,21),(6,26),(6,32),(7,9),(7,11),(7,13),(7,16),(7,20),(7,25),(7,31),(8,9),(8,10),(8,12),(8,15),(8,19),(8,24),(8,30),(9,37),(9,40),(9,43),(9,49),(9,59),(9,74),(10,37),(10,38),(10,41),(10,47),(10,57),(10,72),(11,37),(11,39),(11,42),(11,48),(11,58),(11,73),(12,38),(12,40),(12,44),(12,50),(12,60),(12,75),(13,39),(13,40),(13,45),(13,51),(13,61),(13,76),(14,38),(14,39),(14,46),(14,52),(14,62),(14,77),(15,41),(15,43),(15,44),(15,53),(15,63),(15,78),(16,42),(16,43),(16,45),(16,54),(16,64),(16,79),(17,41),(17,42),(17,46),(17,55),(17,65),(17,80),(18,44),(18,45),(18,46),(18,56),(18,66),(18,81),(19,47),(19,49),(19,50),(19,53),(19,67),(19,82),(20,48),(20,49),(20,51),(20,54),(20,68),(20,83),(21,47),(21,48),(21,52),(21,55),(21,69),(21,84),(22,50),(22,51),(22,52),(22,56),(22,70),(22,85),(23,53),(23,54),(23,55),(23,56),(23,71),(23,86),(24,57),(24,59),(24,60),(24,63),(24,67),(24,87),(25,58),(25,59),(25,61),(25,64),(25,68),(25,88),(26,57),(26,58),(26,62),(26,65),(26,69),(26,89),(27,60),(27,61),(27,62),(27,66),(27,70),(27,90),(28,63),(28,64),(28,65),(28,66),(28,71),(28,91),(29,67),(29,68),(29,69),(29,70),(29,71),(29,92),(30,72),(30,74),(30,75),(30,78),(30,82),(30,87),(31,73),(31,74),(31,76),(31,79),(31,83),(31,88),(32,72),(32,73),(32,77),(32,80),(32,84),(32,89),(33,75),(33,76),(33,77),(33,81),(33,85),(33,90),(34,78),(34,79),(34,80),(34,81),(34,86),(34,91),(35,82),(35,83),(35,84),(35,85),(35,86),(35,92),(36,87),(36,88),(36,89),(36,90),(36,91),(36,92),(37,96),(37,97),(37,107),(37,117),(37,137),(38,93),(38,97),(38,104),(38,114),(38,134),(39,94),(39,97),(39,105),(39,115),(39,135),(40,95),(40,97),(40,106),(40,116),(40,136),(41,93),(41,96),(41,98),(41,108),(41,128),(42,94),(42,96),(42,99),(42,109),(42,129),(43,95),(43,96),(43,100),(43,110),(43,130),(44,93),(44,95),(44,101),(44,111),(44,131),(45,94),(45,95),(45,102),(45,112),(45,132),(46,93),(46,94),(46,103),(46,113),(46,133),(47,98),(47,104),(47,107),(47,118),(47,138),(48,99),(48,105),(48,107),(48,119),(48,139),(49,100),(49,106),(49,107),(49,120),(49,140),(50,101),(50,104),(50,106),(50,121),(50,141),(51,102),(51,105),(51,106),(51,122),(51,142),(52,103),(52,104),(52,105),(52,123),(52,143),(53,98),(53,100),(53,101),(53,124),(53,144),(54,99),(54,100),(54,102),(54,125),(54,145),(55,98),(55,99),(55,103),(55,126),(55,146),(56,101),(56,102),(56,103),(56,127),(56,147),(57,108),(57,114),(57,117),(57,118),(57,148),(58,109),(58,115),(58,117),(58,119),(58,149),(59,110),(59,116),(59,117),(59,120),(59,150),(60,111),(60,114),(60,116),(60,121),(60,151),(61,112),(61,115),(61,116),(61,122),(61,152),(62,113),(62,114),(62,115),(62,123),(62,153),(63,108),(63,110),(63,111),(63,124),(63,154),(64,109),(64,110),(64,112),(64,125),(64,155),(65,108),(65,109),(65,113),(65,126),(65,156),(66,111),(66,112),(66,113),(66,127),(66,157),(67,118),(67,120),(67,121),(67,124),(67,158),(68,119),(68,120),(68,122),(68,125),(68,159),(69,118),(69,119),(69,123),(69,126),(69,160),(70,121),(70,122),(70,123),(70,127),(70,161),(71,124),(71,125),(71,126),(71,127),(71,162),(72,128),(72,134),(72,137),(72,138),(72,148),(73,129),(73,135),(73,137),(73,139),(73,149),(74,130),(74,136),(74,137),(74,140),(74,150),(75,131),(75,134),(75,136),(75,141),(75,151),(76,132),(76,135),(76,136),(76,142),(76,152),(77,133),(77,134),(77,135),(77,143),(77,153),(78,128),(78,130),(78,131),(78,144),(78,154),(79,129),(79,130),(79,132),(79,145),(79,155),(80,128),(80,129),(80,133),(80,146),(80,156),(81,131),(81,132),(81,133),(81,147),(81,157),(82,138),(82,140),(82,141),(82,144),(82,158),(83,139),(83,140),(83,142),(83,145),(83,159),(84,138),(84,139),(84,143),(84,146),(84,160),(85,141),(85,142),(85,143),(85,147),(85,161),(86,144),(86,145),(86,146),(86,147),(86,162),(87,148),(87,150),(87,151),(87,154),(87,158),(88,149),(88,150),(88,152),(88,155),(88,159),(89,148),(89,149),(89,153),(89,156),(89,160),(90,151),(90,152),(90,153),(90,157),(90,161),(91,154),(91,155),(91,156),(91,157),(91,162),(92,158),(92,159),(92,160),(92,161),(92,162),(93,173),(93,178),(93,183),(93,214),(94,174),(94,179),(94,183),(94,215),(95,175),(95,180),(95,183),(95,216),(96,176),(96,181),(96,183),(96,217),(97,177),(97,182),(97,183),(97,218),(98,163),(98,178),(98,181),(98,204),(99,164),(99,179),(99,181),(99,205),(100,165),(100,180),(100,181),(100,206),(101,166),(101,178),(101,180),(101,207),(102,167),(102,179),(102,180),(102,208),(103,168),(103,178),(103,179),(103,209),(104,169),(104,178),(104,182),(104,210),(105,170),(105,179),(105,182),(105,211),(106,171),(106,180),(106,182),(106,212),(107,172),(107,181),(107,182),(107,213),(108,163),(108,173),(108,176),(108,184),(109,164),(109,174),(109,176),(109,185),(110,165),(110,175),(110,176),(110,186),(111,166),(111,173),(111,175),(111,187),(112,167),(112,174),(112,175),(112,188),(113,168),(113,173),(113,174),(113,189),(114,169),(114,173),(114,177),(114,190),(115,170),(115,174),(115,177),(115,191),(116,171),(116,175),(116,177),(116,192),(117,172),(117,176),(117,177),(117,193),(118,163),(118,169),(118,172),(118,194),(119,164),(119,170),(119,172),(119,195),(120,165),(120,171),(120,172),(120,196),(121,166),(121,169),(121,171),(121,197),(122,167),(122,170),(122,171),(122,198),(123,168),(123,169),(123,170),(123,199),(124,163),(124,165),(124,166),(124,200),(125,164),(125,165),(125,167),(125,201),(126,163),(126,164),(126,168),(126,202),(127,166),(127,167),(127,168),(127,203),(128,184),(128,204),(128,214),(128,217),(129,185),(129,205),(129,215),(129,217),(130,186),(130,206),(130,216),(130,217),(131,187),(131,207),(131,214),(131,216),(132,188),(132,208),(132,215),(132,216),(133,189),(133,209),(133,214),(133,215),(134,190),(134,210),(134,214),(134,218),(135,191),(135,211),(135,215),(135,218),(136,192),(136,212),(136,216),(136,218),(137,193),(137,213),(137,217),(137,218),(138,194),(138,204),(138,210),(138,213),(139,195),(139,205),(139,211),(139,213),(140,196),(140,206),(140,212),(140,213),(141,197),(141,207),(141,210),(141,212),(142,198),(142,208),(142,211),(142,212),(143,199),(143,209),(143,210),(143,211),(144,200),(144,204),(144,206),(144,207),(145,201),(145,205),(145,206),(145,208),(146,202),(146,204),(146,205),(146,209),(147,203),(147,207),(147,208),(147,209),(148,184),(148,190),(148,193),(148,194),(149,185),(149,191),(149,193),(149,195),(150,186),(150,192),(150,193),(150,196),(151,187),(151,190),(151,192),(151,197),(152,188),(152,191),(152,192),(152,198),(153,189),(153,190),(153,191),(153,199),(154,184),(154,186),(154,187),(154,200),(155,185),(155,186),(155,188),(155,201),(156,184),(156,185),(156,189),(156,202),(157,187),(157,188),(157,189),(157,203),(158,194),(158,196),(158,197),(158,200),(159,195),(159,196),(159,198),(159,201),(160,194),(160,195),(160,199),(160,202),(161,197),(161,198),(161,199),(161,203),(162,200),(162,201),(162,202),(162,203),(163,219),(163,240),(163,243),(164,220),(164,241),(164,243),(165,221),(165,242),(165,243),(166,222),(166,240),(166,242),(167,223),(167,241),(167,242),(168,224),(168,240),(168,241),(169,225),(169,240),(169,244),(170,226),(170,241),(170,244),(171,227),(171,242),(171,244),(172,228),(172,243),(172,244),(173,229),(173,240),(173,245),(174,230),(174,241),(174,245),(175,231),(175,242),(175,245),(176,232),(176,243),(176,245),(177,233),(177,244),(177,245),(178,234),(178,240),(178,246),(179,235),(179,241),(179,246),(180,236),(180,242),(180,246),(181,237),(181,243),(181,246),(182,238),(182,244),(182,246),(183,239),(183,245),(183,246),(184,219),(184,229),(184,232),(185,220),(185,230),(185,232),(186,221),(186,231),(186,232),(187,222),(187,229),(187,231),(188,223),(188,230),(188,231),(189,224),(189,229),(189,230),(190,225),(190,229),(190,233),(191,226),(191,230),(191,233),(192,227),(192,231),(192,233),(193,228),(193,232),(193,233),(194,219),(194,225),(194,228),(195,220),(195,226),(195,228),(196,221),(196,227),(196,228),(197,222),(197,225),(197,227),(198,223),(198,226),(198,227),(199,224),(199,225),(199,226),(200,219),(200,221),(200,222),(201,220),(201,221),(201,223),(202,219),(202,220),(202,224),(203,222),(203,223),(203,224),(204,219),(204,234),(204,237),(205,220),(205,235),(205,237),(206,221),(206,236),(206,237),(207,222),(207,234),(207,236),(208,223),(208,235),(208,236),(209,224),(209,234),(209,235),(210,225),(210,234),(210,238),(211,226),(211,235),(211,238),(212,227),(212,236),(212,238),(213,228),(213,237),(213,238),(214,229),(214,234),(214,239),(215,230),(215,235),(215,239),(216,231),(216,236),(216,239),(217,232),(217,237),(217,239),(218,233),(218,238),(218,239),(219,247),(219,250),(220,248),(220,250),(221,249),(221,250),(222,247),(222,249),(223,248),(223,249),(224,247),(224,248),(225,247),(225,251),(226,248),(226,251),(227,249),(227,251),(228,250),(228,251),(229,247),(229,252),(230,248),(230,252),(231,249),(231,252),(232,250),(232,252),(233,251),(233,252),(234,247),(234,253),(235,248),(235,253),(236,249),(236,253),(237,250),(237,253),(238,251),(238,253),(239,252),(239,253),(240,247),(240,254),(241,248),(241,254),(242,249),(242,254),(243,250),(243,254),(244,251),(244,254),(245,252),(245,254),(246,253),(246,254),(247,255),(248,255),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,16),(4,16),(5,14),(6,17),(7,17),(8,13),(8,14),(10,11),(11,9),(12,9),(13,10),(14,10),(15,12),(16,13),(17,11),(17,12)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,16),(3,16),(4,15),(5,14),(6,17),(7,17),(8,14),(8,15),(10,11),(11,12),(12,9),(13,12),(14,10),(15,10),(16,9),(17,11),(17,13)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,13),(8,14),(10,12),(11,12),(12,9),(13,10),(14,10),(15,11),(16,11),(17,9)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,16),(6,16),(7,13),(8,12),(8,13),(10,9),(11,9),(12,17),(13,17),(14,11),(15,10),(16,12),(17,10),(17,11)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,16),(4,16),(5,15),(6,14),(7,12),(7,13),(8,14),(8,15),(10,12),(11,9),(12,11),(13,11),(14,10),(15,10),(16,13),(17,9)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,12),(7,14),(8,13),(8,15),(10,9),(11,9),(12,10),(13,11),(14,10),(15,11),(16,12),(17,13)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,14),(4,14),(5,15),(6,15),(7,13),(8,12),(10,16),(11,16),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,10),(17,11)],18)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,15),(4,14),(5,16),(6,16),(7,17),(8,17),(10,9),(11,9),(12,11),(13,11),(14,10),(15,10),(16,12),(16,13),(17,14),(17,15)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,13),(12,9),(13,9),(14,10),(15,10),(16,11),(17,11)],18)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,17),(6,17),(7,18),(8,18),(10,13),(11,12),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,11),(17,16),(18,10),(18,16)],19)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,15),(7,18),(8,16),(8,18),(10,12),(11,12),(12,9),(13,14),(14,9),(15,10),(16,11),(17,13),(18,10),(18,11)],19)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,16),(4,16),(5,15),(6,14),(7,14),(7,18),(8,15),(8,18),(10,12),(11,12),(12,9),(13,9),(14,10),(15,11),(16,13),(17,13),(18,10),(18,11)],19)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,13),(5,17),(6,17),(7,18),(8,18),(10,12),(11,12),(12,9),(13,10),(14,11),(15,9),(16,10),(16,11),(17,13),(17,16),(18,14),(18,16)],19)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,15),(4,15),(5,16),(6,16),(7,14),(7,18),(8,13),(8,18),(10,12),(11,12),(12,9),(13,10),(14,11),(15,13),(16,14),(17,9),(18,10),(18,11)],19)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,13),(6,12),(7,17),(8,18),(10,9),(11,9),(12,10),(13,11),(14,17),(15,18),(16,10),(16,11),(17,12),(17,16),(18,13),(18,16)],19)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,12),(7,18),(8,13),(8,18),(10,9),(11,9),(12,10),(13,11),(14,12),(15,13),(16,14),(17,15),(18,10),(18,11)],19)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,16),(2,8),(2,11),(2,16),(3,7),(3,10),(3,16),(4,6),(4,10),(4,11),(4,12),(5,6),(5,7),(5,8),(5,9),(6,13),(6,14),(6,15),(7,13),(7,17),(8,14),(8,17),(9,15),(9,17),(10,13),(10,18),(11,14),(11,18),(12,15),(12,18),(13,19),(14,19),(15,19),(16,17),(16,18),(17,19),(18,19)],20)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,17),(4,16),(5,15),(6,16),(6,17),(7,14),(7,19),(8,15),(8,19),(10,14),(11,13),(12,13),(13,9),(14,11),(15,12),(16,10),(17,10),(18,9),(19,11),(19,12)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,17),(5,16),(6,15),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,9),(15,11),(16,12),(17,14),(18,11),(18,12),(19,13),(19,14)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,19),(5,15),(6,14),(7,16),(7,18),(8,17),(8,18),(10,12),(11,12),(12,9),(13,9),(14,13),(15,13),(16,10),(17,11),(18,10),(18,11),(19,14),(19,15)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,13),(12,13),(13,9),(14,9),(15,10),(16,10),(17,11),(18,12),(19,11),(19,12)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,17),(4,17),(5,16),(6,15),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,9),(15,11),(16,12),(17,19),(18,11),(18,12),(19,13),(19,14)],20)=>([(0,2),(2,1)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,16),(4,15),(5,17),(6,14),(6,17),(7,15),(7,19),(8,16),(8,19),(10,12),(11,12),(12,9),(13,9),(14,13),(15,10),(16,11),(17,13),(18,14),(19,10),(19,11)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,13),(6,14),(7,16),(7,19),(8,17),(8,19),(10,13),(11,10),(12,10),(13,9),(14,9),(15,14),(16,11),(17,12),(18,15),(19,11),(19,12)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,14),(7,19),(8,15),(8,19),(10,18),(11,18),(12,9),(13,9),(14,10),(15,11),(16,13),(17,12),(18,12),(18,13),(19,10),(19,11)],20)=>([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,15),(7,19),(8,16),(8,19),(10,12),(11,12),(12,18),(13,9),(14,9),(15,10),(16,11),(17,18),(18,13),(18,14),(19,10),(19,11)],20)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
The lattice of congruences of a lattice.
A congruence of a lattice is an equivalence relation such that $a_1 \cong a_2$ and $b_1 \cong b_2$ implies $a_1 \vee b_1 \cong a_2 \vee b_2$ and $a_1 \wedge b_1 \cong a_2 \wedge b_2$.
The set of congruences ordered by refinement forms a lattice.
A congruence of a lattice is an equivalence relation such that $a_1 \cong a_2$ and $b_1 \cong b_2$ implies $a_1 \vee b_1 \cong a_2 \vee b_2$ and $a_1 \wedge b_1 \cong a_2 \wedge b_2$.
The set of congruences ordered by refinement forms a lattice.
Sage code
def mapping(L): if L.cardinality() > 20: raise ValueError("Lattice is too large for this map") return L.congruences_lattice(labels="integer")
Weight
26
Created
Sep 29, 2020 at 20:05 by Martin Rubey
Updated
Nov 13, 2022 at 23:34 by Martin Rubey
searching the database
Sorry, this map was not found in the database.