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Identifier
Mp00266: Graphs —connected vertex partitions⟶ Lattices
Images
=>
Cc0020;cc-rep-0Cc0029;cc-rep-1
([],1)=>([],1) ([],2)=>([],1) ([(0,1)],2)=>([(0,1)],2) ([],3)=>([],1) ([(1,2)],3)=>([(0,1)],2) ([(0,2),(1,2)],3)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) ([],4)=>([],1) ([(2,3)],4)=>([(0,1)],2) ([(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(0,3),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(0,3),(1,2)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(0,3),(1,2),(2,3)],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) ([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) ([(0,3),(1,2),(1,3),(2,3)],4)=>([(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) ([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(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),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(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) ([],5)=>([],1) ([(3,4)],5)=>([(0,1)],2) ([(2,4),(3,4)],5)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(1,4),(2,4),(3,4)],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),(1,4),(2,4),(3,4)],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) ([(1,4),(2,3)],5)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(1,4),(2,3),(3,4)],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),(2,4),(3,4)],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) ([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) ([(0,4),(1,4),(2,3),(3,4)],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) ([(1,4),(2,3),(2,4),(3,4)],5)=>([(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) ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(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) ([(1,3),(1,4),(2,3),(2,4)],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),(6,11),(7,11),(8,11),(9,11),(10,11)],12) ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24) ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(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) ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(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) ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34) ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,28),(1,29),(1,30),(2,9),(2,13),(2,18),(2,19),(2,30),(3,8),(3,12),(3,16),(3,17),(3,30),(4,11),(4,15),(4,17),(4,19),(4,29),(5,10),(5,14),(5,16),(5,18),(5,29),(6,12),(6,13),(6,14),(6,15),(6,28),(7,8),(7,9),(7,10),(7,11),(7,28),(8,20),(8,21),(8,32),(9,22),(9,23),(9,32),(10,20),(10,22),(10,33),(11,21),(11,23),(11,33),(12,24),(12,25),(12,32),(13,26),(13,27),(13,32),(14,24),(14,26),(14,33),(15,25),(15,27),(15,33),(16,20),(16,24),(16,31),(17,21),(17,25),(17,31),(18,22),(18,26),(18,31),(19,23),(19,27),(19,31),(20,34),(21,34),(22,34),(23,34),(24,34),(25,34),(26,34),(27,34),(28,32),(28,33),(29,31),(29,33),(30,31),(30,32),(31,34),(32,34),(33,34)],35) ([(0,4),(1,3),(2,3),(2,4)],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) ([(0,1),(2,3),(2,4),(3,4)],5)=>([(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) ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(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) ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25) ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(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),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27) ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,25),(2,13),(2,14),(2,15),(2,25),(3,10),(3,11),(3,12),(3,25),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,21),(7,24),(7,29),(8,19),(8,22),(8,29),(9,20),(9,23),(9,29),(10,26),(10,29),(11,27),(11,29),(12,28),(12,29),(13,19),(13,21),(13,26),(14,20),(14,21),(14,27),(15,19),(15,20),(15,28),(16,22),(16,24),(16,26),(17,23),(17,24),(17,27),(18,22),(18,23),(18,28),(19,30),(20,30),(21,30),(22,30),(23,30),(24,30),(25,26),(25,27),(25,28),(26,30),(27,30),(28,30),(29,30)],31) ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,24),(1,26),(2,8),(2,9),(2,24),(2,25),(3,16),(3,17),(3,18),(3,19),(3,24),(4,9),(4,14),(4,15),(4,17),(4,26),(5,8),(5,12),(5,13),(5,16),(5,26),(6,11),(6,13),(6,15),(6,19),(6,25),(7,10),(7,12),(7,14),(7,18),(7,25),(8,27),(8,31),(9,28),(9,31),(10,29),(10,32),(11,30),(11,32),(12,20),(12,27),(12,29),(13,21),(13,27),(13,30),(14,22),(14,28),(14,29),(15,23),(15,28),(15,30),(16,20),(16,21),(16,31),(17,22),(17,23),(17,31),(18,20),(18,22),(18,32),(19,21),(19,23),(19,32),(20,33),(21,33),(22,33),(23,33),(24,31),(24,32),(25,27),(25,28),(25,32),(26,29),(26,30),(26,31),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34) ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(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) ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,16),(1,21),(1,23),(2,8),(2,16),(2,20),(2,22),(3,10),(3,15),(3,20),(3,23),(4,11),(4,15),(4,21),(4,22),(5,13),(5,14),(5,22),(5,23),(6,12),(6,14),(6,20),(6,21),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,17),(8,24),(8,26),(9,17),(9,25),(9,27),(10,18),(10,24),(10,27),(11,18),(11,25),(11,26),(12,19),(12,24),(12,25),(13,19),(13,26),(13,27),(14,19),(14,28),(15,18),(15,28),(16,17),(16,28),(17,29),(18,29),(19,29),(20,24),(20,28),(21,25),(21,28),(22,26),(22,28),(23,27),(23,28),(24,29),(25,29),(26,29),(27,29),(28,29)],30) ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,26),(1,27),(1,28),(2,9),(2,10),(2,11),(2,29),(2,30),(3,13),(3,17),(3,21),(3,28),(3,30),(4,12),(4,16),(4,21),(4,27),(4,29),(5,15),(5,18),(5,20),(5,27),(5,30),(6,14),(6,19),(6,20),(6,28),(6,29),(7,11),(7,16),(7,17),(7,18),(7,19),(7,26),(8,10),(8,12),(8,13),(8,14),(8,15),(8,26),(9,35),(9,38),(10,31),(10,32),(10,35),(11,33),(11,34),(11,35),(12,22),(12,31),(12,36),(13,22),(13,32),(13,37),(14,23),(14,31),(14,37),(15,23),(15,32),(15,36),(16,24),(16,33),(16,36),(17,24),(17,34),(17,37),(18,25),(18,34),(18,36),(19,25),(19,33),(19,37),(20,23),(20,25),(20,38),(21,22),(21,24),(21,38),(22,39),(23,39),(24,39),(25,39),(26,35),(26,36),(26,37),(27,36),(27,38),(28,37),(28,38),(29,31),(29,33),(29,38),(30,32),(30,34),(30,38),(31,39),(32,39),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,10),(1,28),(1,29),(2,12),(2,16),(2,20),(2,22),(2,29),(3,11),(3,15),(3,20),(3,21),(3,28),(4,13),(4,17),(4,19),(4,21),(4,29),(5,14),(5,18),(5,19),(5,22),(5,28),(6,8),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,9),(7,11),(7,12),(7,13),(7,14),(8,27),(8,34),(8,35),(9,27),(9,30),(9,31),(10,27),(10,32),(10,33),(11,23),(11,30),(11,34),(12,24),(12,31),(12,34),(13,23),(13,31),(13,35),(14,24),(14,30),(14,35),(15,25),(15,32),(15,34),(16,26),(16,33),(16,34),(17,25),(17,33),(17,35),(18,26),(18,32),(18,35),(19,35),(19,36),(20,34),(20,36),(21,23),(21,25),(21,36),(22,24),(22,26),(22,36),(23,37),(24,37),(25,37),(26,37),(27,37),(28,30),(28,32),(28,36),(29,31),(29,33),(29,36),(30,37),(31,37),(32,37),(33,37),(34,37),(35,37),(36,37)],38) ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(1,20),(1,24),(1,30),(1,32),(2,15),(2,19),(2,23),(2,30),(2,31),(3,17),(3,21),(3,23),(3,29),(3,32),(4,18),(4,22),(4,24),(4,29),(4,31),(5,10),(5,13),(5,14),(5,17),(5,18),(5,30),(6,10),(6,11),(6,12),(6,15),(6,16),(6,29),(7,9),(7,11),(7,13),(7,19),(7,22),(7,32),(8,9),(8,12),(8,14),(8,20),(8,21),(8,31),(9,35),(9,36),(9,41),(10,33),(10,34),(10,41),(11,25),(11,38),(11,41),(12,26),(12,37),(12,41),(13,28),(13,39),(13,41),(14,27),(14,40),(14,41),(15,25),(15,33),(15,37),(16,26),(16,33),(16,38),(17,27),(17,34),(17,39),(18,28),(18,34),(18,40),(19,25),(19,35),(19,39),(20,26),(20,36),(20,40),(21,27),(21,36),(21,37),(22,28),(22,35),(22,38),(23,37),(23,39),(24,38),(24,40),(25,42),(26,42),(27,42),(28,42),(29,34),(29,37),(29,38),(30,33),(30,39),(30,40),(31,35),(31,37),(31,40),(32,36),(32,38),(32,39),(33,42),(34,42),(35,42),(36,42),(37,42),(38,42),(39,42),(40,42),(41,42)],43) ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,12),(1,15),(1,28),(1,31),(1,34),(2,11),(2,14),(2,28),(2,30),(2,33),(3,10),(3,13),(3,28),(3,29),(3,32),(4,10),(4,16),(4,19),(4,21),(4,30),(4,31),(5,11),(5,17),(5,20),(5,22),(5,29),(5,31),(6,12),(6,18),(6,23),(6,24),(6,29),(6,30),(7,13),(7,16),(7,20),(7,23),(7,33),(7,34),(8,14),(8,17),(8,19),(8,24),(8,32),(8,34),(9,15),(9,18),(9,21),(9,22),(9,32),(9,33),(10,25),(10,35),(10,45),(11,26),(11,36),(11,45),(12,27),(12,37),(12,45),(13,25),(13,38),(13,44),(14,26),(14,39),(14,44),(15,27),(15,40),(15,44),(16,25),(16,42),(16,43),(17,26),(17,41),(17,43),(18,27),(18,41),(18,42),(19,35),(19,39),(19,43),(20,36),(20,38),(20,43),(21,35),(21,40),(21,42),(22,36),(22,40),(22,41),(23,37),(23,38),(23,42),(24,37),(24,39),(24,41),(25,46),(26,46),(27,46),(28,44),(28,45),(29,38),(29,41),(29,45),(30,39),(30,42),(30,45),(31,40),(31,43),(31,45),(32,35),(32,41),(32,44),(33,36),(33,42),(33,44),(34,37),(34,43),(34,44),(35,46),(36,46),(37,46),(38,46),(39,46),(40,46),(41,46),(42,46),(43,46),(44,46),(45,46)],47) ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,14),(1,20),(1,28),(1,29),(1,31),(2,11),(2,12),(2,19),(2,26),(2,27),(2,31),(3,16),(3,18),(3,22),(3,27),(3,29),(3,30),(4,15),(4,17),(4,21),(4,26),(4,28),(4,30),(5,11),(5,15),(5,24),(5,29),(5,32),(5,34),(6,12),(6,16),(6,25),(6,28),(6,32),(6,35),(7,13),(7,17),(7,25),(7,27),(7,33),(7,34),(8,14),(8,18),(8,24),(8,26),(8,33),(8,35),(9,21),(9,22),(9,23),(9,31),(9,34),(9,35),(10,19),(10,20),(10,23),(10,30),(10,32),(10,33),(11,36),(11,40),(11,50),(12,36),(12,41),(12,49),(13,37),(13,42),(13,50),(14,37),(14,43),(14,49),(15,38),(15,40),(15,48),(16,39),(16,41),(16,48),(17,38),(17,42),(17,47),(18,39),(18,43),(18,47),(19,36),(19,44),(19,47),(20,37),(20,44),(20,48),(21,38),(21,45),(21,49),(22,39),(22,45),(22,50),(23,44),(23,45),(23,46),(24,40),(24,43),(24,46),(25,41),(25,42),(25,46),(26,40),(26,47),(26,49),(27,41),(27,47),(27,50),(28,42),(28,48),(28,49),(29,43),(29,48),(29,50),(30,45),(30,47),(30,48),(31,44),(31,49),(31,50),(32,36),(32,46),(32,48),(33,37),(33,46),(33,47),(34,38),(34,46),(34,50),(35,39),(35,46),(35,49),(36,51),(37,51),(38,51),(39,51),(40,51),(41,51),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,51),(49,51),(50,51)],52) ([],6)=>([],1) ([(4,5)],6)=>([(0,1)],2) ([(3,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) ([(0,5),(1,5),(2,5),(3,5),(4,5)],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) ([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(1,2),(3,5),(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) ([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) ([(1,5),(2,5),(3,4),(4,5)],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),(2,5),(3,5),(4,5)],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) ([(2,5),(3,4),(3,5),(4,5)],6)=>([(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) ([(0,5),(1,5),(2,5),(3,4),(4,5)],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) ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(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) ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(2,4),(2,5),(3,4),(3,5)],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),(6,11),(7,11),(8,11),(9,11),(10,11)],12) ([(0,5),(1,5),(2,4),(3,4)],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) ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24) ([(0,5),(1,5),(2,3),(3,4),(4,5)],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) ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(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) ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(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) ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32) ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34) ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(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),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68) ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,28),(1,29),(1,30),(2,9),(2,13),(2,18),(2,19),(2,30),(3,8),(3,12),(3,16),(3,17),(3,30),(4,11),(4,15),(4,17),(4,19),(4,29),(5,10),(5,14),(5,16),(5,18),(5,29),(6,12),(6,13),(6,14),(6,15),(6,28),(7,8),(7,9),(7,10),(7,11),(7,28),(8,20),(8,21),(8,32),(9,22),(9,23),(9,32),(10,20),(10,22),(10,33),(11,21),(11,23),(11,33),(12,24),(12,25),(12,32),(13,26),(13,27),(13,32),(14,24),(14,26),(14,33),(15,25),(15,27),(15,33),(16,20),(16,24),(16,31),(17,21),(17,25),(17,31),(18,22),(18,26),(18,31),(19,23),(19,27),(19,31),(20,34),(21,34),(22,34),(23,34),(24,34),(25,34),(26,34),(27,34),(28,32),(28,33),(29,31),(29,33),(30,31),(30,32),(31,34),(32,34),(33,34)],35) ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,22),(1,23),(1,24),(1,25),(1,26),(1,27),(2,11),(2,15),(2,20),(2,21),(2,23),(2,50),(3,10),(3,14),(3,18),(3,19),(3,22),(3,50),(4,13),(4,17),(4,19),(4,21),(4,25),(4,49),(5,12),(5,16),(5,18),(5,20),(5,24),(5,49),(6,14),(6,15),(6,16),(6,17),(6,27),(6,48),(7,10),(7,11),(7,12),(7,13),(7,26),(7,48),(8,9),(8,48),(8,49),(8,50),(9,59),(9,60),(9,61),(10,28),(10,40),(10,41),(10,63),(11,29),(11,42),(11,43),(11,63),(12,30),(12,40),(12,42),(12,64),(13,31),(13,41),(13,43),(13,64),(14,32),(14,44),(14,45),(14,63),(15,33),(15,46),(15,47),(15,63),(16,34),(16,44),(16,46),(16,64),(17,35),(17,45),(17,47),(17,64),(18,36),(18,40),(18,44),(18,62),(19,37),(19,41),(19,45),(19,62),(20,38),(20,42),(20,46),(20,62),(21,39),(21,43),(21,47),(21,62),(22,28),(22,32),(22,36),(22,37),(22,59),(23,29),(23,33),(23,38),(23,39),(23,59),(24,30),(24,34),(24,36),(24,38),(24,60),(25,31),(25,35),(25,37),(25,39),(25,60),(26,28),(26,29),(26,30),(26,31),(26,61),(27,32),(27,33),(27,34),(27,35),(27,61),(28,51),(28,52),(28,66),(29,53),(29,54),(29,66),(30,51),(30,53),(30,67),(31,52),(31,54),(31,67),(32,55),(32,56),(32,66),(33,57),(33,58),(33,66),(34,55),(34,57),(34,67),(35,56),(35,58),(35,67),(36,51),(36,55),(36,65),(37,52),(37,56),(37,65),(38,53),(38,57),(38,65),(39,54),(39,58),(39,65),(40,51),(40,68),(41,52),(41,68),(42,53),(42,68),(43,54),(43,68),(44,55),(44,68),(45,56),(45,68),(46,57),(46,68),(47,58),(47,68),(48,61),(48,63),(48,64),(49,60),(49,62),(49,64),(50,59),(50,62),(50,63),(51,69),(52,69),(53,69),(54,69),(55,69),(56,69),(57,69),(58,69),(59,65),(59,66),(60,65),(60,67),(61,66),(61,67),(62,65),(62,68),(63,66),(63,68),(64,67),(64,68),(65,69),(66,69),(67,69),(68,69)],70) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(1,14),(1,18),(1,23),(1,24),(1,26),(1,32),(2,12),(2,13),(2,17),(2,21),(2,22),(2,25),(2,31),(3,11),(3,16),(3,20),(3,22),(3,24),(3,28),(3,34),(4,11),(4,15),(4,19),(4,21),(4,23),(4,27),(4,33),(5,10),(5,17),(5,18),(5,19),(5,20),(5,30),(5,36),(6,10),(6,13),(6,14),(6,15),(6,16),(6,29),(6,35),(7,9),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(8,9),(8,25),(8,26),(8,27),(8,28),(8,29),(8,30),(9,88),(9,89),(9,90),(10,86),(10,87),(10,90),(11,85),(11,87),(11,89),(12,85),(12,86),(12,88),(13,37),(13,49),(13,61),(13,62),(13,86),(14,38),(14,50),(14,63),(14,64),(14,86),(15,39),(15,51),(15,61),(15,63),(15,87),(16,40),(16,52),(16,62),(16,64),(16,87),(17,41),(17,53),(17,65),(17,66),(17,86),(18,42),(18,54),(18,67),(18,68),(18,86),(19,43),(19,55),(19,65),(19,67),(19,87),(20,44),(20,56),(20,66),(20,68),(20,87),(21,45),(21,57),(21,61),(21,65),(21,85),(22,46),(22,58),(22,62),(22,66),(22,85),(23,47),(23,59),(23,63),(23,67),(23,85),(24,48),(24,60),(24,64),(24,68),(24,85),(25,37),(25,41),(25,45),(25,46),(25,88),(26,38),(26,42),(26,47),(26,48),(26,88),(27,39),(27,43),(27,45),(27,47),(27,89),(28,40),(28,44),(28,46),(28,48),(28,89),(29,37),(29,38),(29,39),(29,40),(29,90),(30,41),(30,42),(30,43),(30,44),(30,90),(31,49),(31,53),(31,57),(31,58),(31,88),(32,50),(32,54),(32,59),(32,60),(32,88),(33,51),(33,55),(33,57),(33,59),(33,89),(34,52),(34,56),(34,58),(34,60),(34,89),(35,49),(35,50),(35,51),(35,52),(35,90),(36,53),(36,54),(36,55),(36,56),(36,90),(37,69),(37,70),(37,92),(38,71),(38,72),(38,92),(39,69),(39,71),(39,93),(40,70),(40,72),(40,93),(41,73),(41,74),(41,92),(42,75),(42,76),(42,92),(43,73),(43,75),(43,93),(44,74),(44,76),(44,93),(45,69),(45,73),(45,94),(46,70),(46,74),(46,94),(47,71),(47,75),(47,94),(48,72),(48,76),(48,94),(49,77),(49,78),(49,92),(50,79),(50,80),(50,92),(51,77),(51,79),(51,93),(52,78),(52,80),(52,93),(53,81),(53,82),(53,92),(54,83),(54,84),(54,92),(55,81),(55,83),(55,93),(56,82),(56,84),(56,93),(57,77),(57,81),(57,94),(58,78),(58,82),(58,94),(59,79),(59,83),(59,94),(60,80),(60,84),(60,94),(61,69),(61,77),(61,91),(62,70),(62,78),(62,91),(63,71),(63,79),(63,91),(64,72),(64,80),(64,91),(65,73),(65,81),(65,91),(66,74),(66,82),(66,91),(67,75),(67,83),(67,91),(68,76),(68,84),(68,91),(69,95),(70,95),(71,95),(72,95),(73,95),(74,95),(75,95),(76,95),(77,95),(78,95),(79,95),(80,95),(81,95),(82,95),(83,95),(84,95),(85,91),(85,94),(86,91),(86,92),(87,91),(87,93),(88,92),(88,94),(89,93),(89,94),(90,92),(90,93),(91,95),(92,95),(93,95),(94,95)],96) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,15),(1,20),(1,21),(1,23),(1,29),(1,69),(2,10),(2,14),(2,18),(2,19),(2,22),(2,28),(2,69),(3,13),(3,17),(3,19),(3,21),(3,25),(3,31),(3,68),(4,12),(4,16),(4,18),(4,20),(4,24),(4,30),(4,68),(5,14),(5,15),(5,16),(5,17),(5,27),(5,33),(5,67),(6,10),(6,11),(6,12),(6,13),(6,26),(6,32),(6,67),(7,28),(7,29),(7,30),(7,31),(7,32),(7,33),(7,66),(8,22),(8,23),(8,24),(8,25),(8,26),(8,27),(8,66),(9,66),(9,67),(9,68),(9,69),(10,34),(10,46),(10,58),(10,59),(10,87),(11,35),(11,47),(11,60),(11,61),(11,87),(12,36),(12,48),(12,58),(12,60),(12,88),(13,37),(13,49),(13,59),(13,61),(13,88),(14,38),(14,50),(14,62),(14,63),(14,87),(15,39),(15,51),(15,64),(15,65),(15,87),(16,40),(16,52),(16,62),(16,64),(16,88),(17,41),(17,53),(17,63),(17,65),(17,88),(18,42),(18,54),(18,58),(18,62),(18,86),(19,43),(19,55),(19,59),(19,63),(19,86),(20,44),(20,56),(20,60),(20,64),(20,86),(21,45),(21,57),(21,61),(21,65),(21,86),(22,34),(22,38),(22,42),(22,43),(22,89),(23,35),(23,39),(23,44),(23,45),(23,89),(24,36),(24,40),(24,42),(24,44),(24,90),(25,37),(25,41),(25,43),(25,45),(25,90),(26,34),(26,35),(26,36),(26,37),(26,91),(27,38),(27,39),(27,40),(27,41),(27,91),(28,46),(28,50),(28,54),(28,55),(28,89),(29,47),(29,51),(29,56),(29,57),(29,89),(30,48),(30,52),(30,54),(30,56),(30,90),(31,49),(31,53),(31,55),(31,57),(31,90),(32,46),(32,47),(32,48),(32,49),(32,91),(33,50),(33,51),(33,52),(33,53),(33,91),(34,70),(34,71),(34,93),(35,72),(35,73),(35,93),(36,70),(36,72),(36,94),(37,71),(37,73),(37,94),(38,74),(38,75),(38,93),(39,76),(39,77),(39,93),(40,74),(40,76),(40,94),(41,75),(41,77),(41,94),(42,70),(42,74),(42,95),(43,71),(43,75),(43,95),(44,72),(44,76),(44,95),(45,73),(45,77),(45,95),(46,78),(46,79),(46,93),(47,80),(47,81),(47,93),(48,78),(48,80),(48,94),(49,79),(49,81),(49,94),(50,82),(50,83),(50,93),(51,84),(51,85),(51,93),(52,82),(52,84),(52,94),(53,83),(53,85),(53,94),(54,78),(54,82),(54,95),(55,79),(55,83),(55,95),(56,80),(56,84),(56,95),(57,81),(57,85),(57,95),(58,70),(58,78),(58,92),(59,71),(59,79),(59,92),(60,72),(60,80),(60,92),(61,73),(61,81),(61,92),(62,74),(62,82),(62,92),(63,75),(63,83),(63,92),(64,76),(64,84),(64,92),(65,77),(65,85),(65,92),(66,89),(66,90),(66,91),(67,87),(67,88),(67,91),(68,86),(68,88),(68,90),(69,86),(69,87),(69,89),(70,96),(71,96),(72,96),(73,96),(74,96),(75,96),(76,96),(77,96),(78,96),(79,96),(80,96),(81,96),(82,96),(83,96),(84,96),(85,96),(86,92),(86,95),(87,92),(87,93),(88,92),(88,94),(89,93),(89,95),(90,94),(90,95),(91,93),(91,94),(92,96),(93,96),(94,96),(95,96)],97) ([(0,5),(1,4),(2,3)],6)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(1,5),(2,4),(3,4),(3,5)],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),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) ([(1,2),(3,4),(3,5),(4,5)],6)=>([(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) ([(0,5),(1,4),(2,3),(3,5),(4,5)],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) ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(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),(2,5),(3,4),(3,5),(4,5)],6)=>([(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) ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25) ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(1,4),(1,5),(2,3),(2,5),(3,4)],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),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27) ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,25),(2,13),(2,14),(2,15),(2,25),(3,10),(3,11),(3,12),(3,25),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,21),(7,24),(7,29),(8,19),(8,22),(8,29),(9,20),(9,23),(9,29),(10,26),(10,29),(11,27),(11,29),(12,28),(12,29),(13,19),(13,21),(13,26),(14,20),(14,21),(14,27),(15,19),(15,20),(15,28),(16,22),(16,24),(16,26),(17,23),(17,24),(17,27),(18,22),(18,23),(18,28),(19,30),(20,30),(21,30),(22,30),(23,30),(24,30),(25,26),(25,27),(25,28),(26,30),(27,30),(28,30),(29,30)],31) ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(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),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54) ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62) ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,24),(1,26),(2,8),(2,9),(2,24),(2,25),(3,16),(3,17),(3,18),(3,19),(3,24),(4,9),(4,14),(4,15),(4,17),(4,26),(5,8),(5,12),(5,13),(5,16),(5,26),(6,11),(6,13),(6,15),(6,19),(6,25),(7,10),(7,12),(7,14),(7,18),(7,25),(8,27),(8,31),(9,28),(9,31),(10,29),(10,32),(11,30),(11,32),(12,20),(12,27),(12,29),(13,21),(13,27),(13,30),(14,22),(14,28),(14,29),(15,23),(15,28),(15,30),(16,20),(16,21),(16,31),(17,22),(17,23),(17,31),(18,20),(18,22),(18,32),(19,21),(19,23),(19,32),(20,33),(21,33),(22,33),(23,33),(24,31),(24,32),(25,27),(25,28),(25,32),(26,29),(26,30),(26,31),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34) ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,13),(1,14),(1,44),(1,46),(2,9),(2,11),(2,12),(2,44),(2,45),(3,15),(3,24),(3,25),(3,26),(3,27),(3,44),(4,12),(4,17),(4,22),(4,23),(4,25),(4,46),(5,11),(5,16),(5,20),(5,21),(5,24),(5,46),(6,14),(6,19),(6,21),(6,23),(6,27),(6,45),(7,13),(7,18),(7,20),(7,22),(7,26),(7,45),(8,9),(8,10),(8,15),(8,16),(8,17),(8,18),(8,19),(9,36),(9,37),(9,47),(9,52),(10,38),(10,39),(10,47),(10,53),(11,36),(11,48),(11,62),(12,37),(12,49),(12,62),(13,38),(13,50),(13,63),(14,39),(14,51),(14,63),(15,32),(15,33),(15,34),(15,35),(15,47),(16,32),(16,36),(16,40),(16,41),(16,53),(17,33),(17,37),(17,42),(17,43),(17,53),(18,34),(18,38),(18,40),(18,42),(18,52),(19,35),(19,39),(19,41),(19,43),(19,52),(20,28),(20,40),(20,48),(20,50),(21,29),(21,41),(21,48),(21,51),(22,30),(22,42),(22,49),(22,50),(23,31),(23,43),(23,49),(23,51),(24,28),(24,29),(24,32),(24,62),(25,30),(25,31),(25,33),(25,62),(26,28),(26,30),(26,34),(26,63),(27,29),(27,31),(27,35),(27,63),(28,54),(28,66),(29,55),(29,66),(30,56),(30,66),(31,57),(31,66),(32,54),(32,55),(32,64),(33,56),(33,57),(33,64),(34,54),(34,56),(34,65),(35,55),(35,57),(35,65),(36,58),(36,64),(37,59),(37,64),(38,60),(38,65),(39,61),(39,65),(40,54),(40,58),(40,60),(41,55),(41,58),(41,61),(42,56),(42,59),(42,60),(43,57),(43,59),(43,61),(44,47),(44,62),(44,63),(45,48),(45,49),(45,52),(45,63),(46,50),(46,51),(46,53),(46,62),(47,64),(47,65),(48,58),(48,66),(49,59),(49,66),(50,60),(50,66),(51,61),(51,66),(52,58),(52,59),(52,65),(53,60),(53,61),(53,64),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,67),(61,67),(62,64),(62,66),(63,65),(63,66),(64,67),(65,67),(66,67)],68) ([(0,5),(1,4),(2,3),(2,4),(3,5)],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) ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24) ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(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) ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60) ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(1,40),(1,41),(2,15),(2,16),(2,17),(2,26),(2,27),(2,41),(3,12),(3,13),(3,14),(3,24),(3,25),(3,41),(4,21),(4,22),(4,23),(4,25),(4,27),(4,40),(5,18),(5,19),(5,20),(5,24),(5,26),(5,40),(6,11),(6,14),(6,17),(6,20),(6,23),(6,42),(7,10),(7,13),(7,16),(7,19),(7,22),(7,42),(8,9),(8,12),(8,15),(8,18),(8,21),(8,42),(9,43),(9,46),(9,49),(10,44),(10,47),(10,49),(11,45),(11,48),(11,49),(12,28),(12,31),(12,43),(12,50),(13,29),(13,32),(13,44),(13,50),(14,30),(14,33),(14,45),(14,50),(15,34),(15,37),(15,43),(15,51),(16,35),(16,38),(16,44),(16,51),(17,36),(17,39),(17,45),(17,51),(18,28),(18,34),(18,46),(18,52),(19,29),(19,35),(19,47),(19,52),(20,30),(20,36),(20,48),(20,52),(21,31),(21,37),(21,46),(21,53),(22,32),(22,38),(22,47),(22,53),(23,33),(23,39),(23,48),(23,53),(24,28),(24,29),(24,30),(24,58),(25,31),(25,32),(25,33),(25,58),(26,34),(26,35),(26,36),(26,58),(27,37),(27,38),(27,39),(27,58),(28,54),(28,61),(29,54),(29,62),(30,54),(30,63),(31,55),(31,61),(32,55),(32,62),(33,55),(33,63),(34,56),(34,61),(35,56),(35,62),(36,56),(36,63),(37,57),(37,61),(38,57),(38,62),(39,57),(39,63),(40,46),(40,47),(40,48),(40,58),(41,43),(41,44),(41,45),(41,58),(42,49),(42,50),(42,51),(42,52),(42,53),(43,59),(43,61),(44,59),(44,62),(45,59),(45,63),(46,60),(46,61),(47,60),(47,62),(48,60),(48,63),(49,59),(49,60),(50,54),(50,55),(50,59),(51,56),(51,57),(51,59),(52,54),(52,56),(52,60),(53,55),(53,57),(53,60),(54,64),(55,64),(56,64),(57,64),(58,61),(58,62),(58,63),(59,64),(60,64),(61,64),(62,64),(63,64)],65) ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(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) ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,16),(1,21),(1,23),(2,8),(2,16),(2,20),(2,22),(3,10),(3,15),(3,20),(3,23),(4,11),(4,15),(4,21),(4,22),(5,13),(5,14),(5,22),(5,23),(6,12),(6,14),(6,20),(6,21),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,17),(8,24),(8,26),(9,17),(9,25),(9,27),(10,18),(10,24),(10,27),(11,18),(11,25),(11,26),(12,19),(12,24),(12,25),(13,19),(13,26),(13,27),(14,19),(14,28),(15,18),(15,28),(16,17),(16,28),(17,29),(18,29),(19,29),(20,24),(20,28),(21,25),(21,28),(22,26),(22,28),(23,27),(23,28),(24,29),(25,29),(26,29),(27,29),(28,29)],30) ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60) ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79) ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,15),(1,19),(1,23),(1,27),(1,32),(1,33),(2,10),(2,15),(2,18),(2,22),(2,26),(2,30),(2,31),(3,13),(3,14),(3,21),(3,25),(3,29),(3,31),(3,33),(4,12),(4,14),(4,20),(4,24),(4,28),(4,30),(4,32),(5,9),(5,16),(5,17),(5,26),(5,27),(5,28),(5,29),(6,9),(6,10),(6,11),(6,12),(6,13),(6,34),(7,17),(7,22),(7,23),(7,24),(7,25),(7,34),(8,16),(8,18),(8,19),(8,20),(8,21),(8,34),(9,71),(9,80),(9,81),(10,35),(10,36),(10,72),(10,80),(11,37),(11,38),(11,73),(11,80),(12,35),(12,37),(12,74),(12,81),(13,36),(13,38),(13,75),(13,81),(14,44),(14,46),(14,81),(14,82),(15,43),(15,45),(15,80),(15,82),(16,55),(16,56),(16,57),(16,58),(16,71),(17,59),(17,60),(17,61),(17,62),(17,71),(18,43),(18,47),(18,48),(18,55),(18,72),(19,43),(19,49),(19,50),(19,56),(19,73),(20,44),(20,47),(20,49),(20,57),(20,74),(21,44),(21,48),(21,50),(21,58),(21,75),(22,45),(22,51),(22,52),(22,59),(22,72),(23,45),(23,53),(23,54),(23,60),(23,73),(24,46),(24,51),(24,53),(24,61),(24,74),(25,46),(25,52),(25,54),(25,62),(25,75),(26,39),(26,40),(26,55),(26,59),(26,80),(27,41),(27,42),(27,56),(27,60),(27,80),(28,39),(28,41),(28,57),(28,61),(28,81),(29,40),(29,42),(29,58),(29,62),(29,81),(30,35),(30,39),(30,47),(30,51),(30,82),(31,36),(31,40),(31,48),(31,52),(31,82),(32,37),(32,41),(32,49),(32,53),(32,82),(33,38),(33,42),(33,50),(33,54),(33,82),(34,71),(34,72),(34,73),(34,74),(34,75),(35,76),(35,87),(36,77),(36,87),(37,78),(37,87),(38,79),(38,87),(39,63),(39,67),(39,87),(40,64),(40,68),(40,87),(41,65),(41,69),(41,87),(42,66),(42,70),(42,87),(43,83),(43,85),(44,83),(44,86),(45,84),(45,85),(46,84),(46,86),(47,63),(47,76),(47,83),(48,64),(48,77),(48,83),(49,65),(49,78),(49,83),(50,66),(50,79),(50,83),(51,67),(51,76),(51,84),(52,68),(52,77),(52,84),(53,69),(53,78),(53,84),(54,70),(54,79),(54,84),(55,63),(55,64),(55,85),(56,65),(56,66),(56,85),(57,63),(57,65),(57,86),(58,64),(58,66),(58,86),(59,67),(59,68),(59,85),(60,69),(60,70),(60,85),(61,67),(61,69),(61,86),(62,68),(62,70),(62,86),(63,88),(64,88),(65,88),(66,88),(67,88),(68,88),(69,88),(70,88),(71,85),(71,86),(72,76),(72,77),(72,85),(73,78),(73,79),(73,85),(74,76),(74,78),(74,86),(75,77),(75,79),(75,86),(76,88),(77,88),(78,88),(79,88),(80,85),(80,87),(81,86),(81,87),(82,83),(82,84),(82,87),(83,88),(84,88),(85,88),(86,88),(87,88)],89) ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,22),(1,23),(1,24),(1,25),(1,26),(1,27),(2,11),(2,15),(2,20),(2,21),(2,23),(2,50),(3,10),(3,14),(3,18),(3,19),(3,22),(3,50),(4,13),(4,17),(4,19),(4,21),(4,25),(4,49),(5,12),(5,16),(5,18),(5,20),(5,24),(5,49),(6,14),(6,15),(6,16),(6,17),(6,27),(6,48),(7,10),(7,11),(7,12),(7,13),(7,26),(7,48),(8,9),(8,48),(8,49),(8,50),(9,59),(9,60),(9,61),(10,28),(10,40),(10,41),(10,63),(11,29),(11,42),(11,43),(11,63),(12,30),(12,40),(12,42),(12,64),(13,31),(13,41),(13,43),(13,64),(14,32),(14,44),(14,45),(14,63),(15,33),(15,46),(15,47),(15,63),(16,34),(16,44),(16,46),(16,64),(17,35),(17,45),(17,47),(17,64),(18,36),(18,40),(18,44),(18,62),(19,37),(19,41),(19,45),(19,62),(20,38),(20,42),(20,46),(20,62),(21,39),(21,43),(21,47),(21,62),(22,28),(22,32),(22,36),(22,37),(22,59),(23,29),(23,33),(23,38),(23,39),(23,59),(24,30),(24,34),(24,36),(24,38),(24,60),(25,31),(25,35),(25,37),(25,39),(25,60),(26,28),(26,29),(26,30),(26,31),(26,61),(27,32),(27,33),(27,34),(27,35),(27,61),(28,51),(28,52),(28,66),(29,53),(29,54),(29,66),(30,51),(30,53),(30,67),(31,52),(31,54),(31,67),(32,55),(32,56),(32,66),(33,57),(33,58),(33,66),(34,55),(34,57),(34,67),(35,56),(35,58),(35,67),(36,51),(36,55),(36,65),(37,52),(37,56),(37,65),(38,53),(38,57),(38,65),(39,54),(39,58),(39,65),(40,51),(40,68),(41,52),(41,68),(42,53),(42,68),(43,54),(43,68),(44,55),(44,68),(45,56),(45,68),(46,57),(46,68),(47,58),(47,68),(48,61),(48,63),(48,64),(49,60),(49,62),(49,64),(50,59),(50,62),(50,63),(51,69),(52,69),(53,69),(54,69),(55,69),(56,69),(57,69),(58,69),(59,65),(59,66),(60,65),(60,67),(61,66),(61,67),(62,65),(62,68),(63,66),(63,68),(64,67),(64,68),(65,69),(66,69),(67,69),(68,69)],70) ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,13),(1,14),(1,44),(1,46),(2,9),(2,11),(2,12),(2,44),(2,45),(3,15),(3,24),(3,25),(3,26),(3,27),(3,44),(4,12),(4,17),(4,22),(4,23),(4,25),(4,46),(5,11),(5,16),(5,20),(5,21),(5,24),(5,46),(6,14),(6,19),(6,21),(6,23),(6,27),(6,45),(7,13),(7,18),(7,20),(7,22),(7,26),(7,45),(8,9),(8,10),(8,15),(8,16),(8,17),(8,18),(8,19),(9,36),(9,37),(9,47),(9,52),(10,38),(10,39),(10,47),(10,53),(11,36),(11,48),(11,62),(12,37),(12,49),(12,62),(13,38),(13,50),(13,63),(14,39),(14,51),(14,63),(15,32),(15,33),(15,34),(15,35),(15,47),(16,32),(16,36),(16,40),(16,41),(16,53),(17,33),(17,37),(17,42),(17,43),(17,53),(18,34),(18,38),(18,40),(18,42),(18,52),(19,35),(19,39),(19,41),(19,43),(19,52),(20,28),(20,40),(20,48),(20,50),(21,29),(21,41),(21,48),(21,51),(22,30),(22,42),(22,49),(22,50),(23,31),(23,43),(23,49),(23,51),(24,28),(24,29),(24,32),(24,62),(25,30),(25,31),(25,33),(25,62),(26,28),(26,30),(26,34),(26,63),(27,29),(27,31),(27,35),(27,63),(28,54),(28,66),(29,55),(29,66),(30,56),(30,66),(31,57),(31,66),(32,54),(32,55),(32,64),(33,56),(33,57),(33,64),(34,54),(34,56),(34,65),(35,55),(35,57),(35,65),(36,58),(36,64),(37,59),(37,64),(38,60),(38,65),(39,61),(39,65),(40,54),(40,58),(40,60),(41,55),(41,58),(41,61),(42,56),(42,59),(42,60),(43,57),(43,59),(43,61),(44,47),(44,62),(44,63),(45,48),(45,49),(45,52),(45,63),(46,50),(46,51),(46,53),(46,62),(47,64),(47,65),(48,58),(48,66),(49,59),(49,66),(50,60),(50,66),(51,61),(51,66),(52,58),(52,59),(52,65),(53,60),(53,61),(53,64),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,67),(61,67),(62,64),(62,66),(63,65),(63,66),(64,67),(65,67),(66,67)],68) ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,18),(1,21),(1,24),(1,27),(1,30),(2,10),(2,16),(2,18),(2,20),(2,23),(2,26),(2,29),(3,9),(3,16),(3,17),(3,19),(3,22),(3,25),(3,28),(4,14),(4,15),(4,22),(4,23),(4,24),(4,56),(5,12),(5,13),(5,19),(5,20),(5,21),(5,56),(6,13),(6,15),(6,28),(6,29),(6,30),(6,55),(7,12),(7,14),(7,25),(7,26),(7,27),(7,55),(8,9),(8,10),(8,11),(8,55),(8,56),(9,69),(9,72),(9,75),(10,70),(10,73),(10,75),(11,71),(11,74),(11,75),(12,43),(12,44),(12,45),(12,76),(13,46),(13,47),(13,48),(13,76),(14,49),(14,50),(14,51),(14,76),(15,52),(15,53),(15,54),(15,76),(16,33),(16,36),(16,39),(16,42),(16,75),(17,31),(17,34),(17,37),(17,40),(17,75),(18,32),(18,35),(18,38),(18,41),(18,75),(19,31),(19,33),(19,43),(19,46),(19,69),(20,32),(20,33),(20,44),(20,47),(20,70),(21,31),(21,32),(21,45),(21,48),(21,71),(22,34),(22,36),(22,49),(22,52),(22,69),(23,35),(23,36),(23,50),(23,53),(23,70),(24,34),(24,35),(24,51),(24,54),(24,71),(25,37),(25,39),(25,43),(25,49),(25,72),(26,38),(26,39),(26,44),(26,50),(26,73),(27,37),(27,38),(27,45),(27,51),(27,74),(28,40),(28,42),(28,46),(28,52),(28,72),(29,41),(29,42),(29,47),(29,53),(29,73),(30,40),(30,41),(30,48),(30,54),(30,74),(31,57),(31,60),(31,80),(32,58),(32,61),(32,80),(33,59),(33,62),(33,80),(34,63),(34,66),(34,80),(35,64),(35,67),(35,80),(36,65),(36,68),(36,80),(37,57),(37,63),(37,81),(38,58),(38,64),(38,81),(39,59),(39,65),(39,81),(40,60),(40,66),(40,81),(41,61),(41,67),(41,81),(42,62),(42,68),(42,81),(43,57),(43,59),(43,77),(44,58),(44,59),(44,78),(45,57),(45,58),(45,79),(46,60),(46,62),(46,77),(47,61),(47,62),(47,78),(48,60),(48,61),(48,79),(49,63),(49,65),(49,77),(50,64),(50,65),(50,78),(51,63),(51,64),(51,79),(52,66),(52,68),(52,77),(53,67),(53,68),(53,78),(54,66),(54,67),(54,79),(55,72),(55,73),(55,74),(55,76),(56,69),(56,70),(56,71),(56,76),(57,82),(58,82),(59,82),(60,82),(61,82),(62,82),(63,82),(64,82),(65,82),(66,82),(67,82),(68,82),(69,77),(69,80),(70,78),(70,80),(71,79),(71,80),(72,77),(72,81),(73,78),(73,81),(74,79),(74,81),(75,80),(75,81),(76,77),(76,78),(76,79),(77,82),(78,82),(79,82),(80,82),(81,82)],83) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,20),(1,21),(1,22),(1,23),(1,33),(1,61),(2,10),(2,16),(2,17),(2,18),(2,19),(2,32),(2,61),(3,13),(3,17),(3,21),(3,26),(3,27),(3,29),(3,60),(4,12),(4,16),(4,20),(4,24),(4,25),(4,28),(4,60),(5,15),(5,19),(5,23),(5,25),(5,27),(5,31),(5,59),(6,14),(6,18),(6,22),(6,24),(6,26),(6,30),(6,59),(7,28),(7,29),(7,30),(7,31),(7,32),(7,33),(7,58),(8,12),(8,13),(8,14),(8,15),(8,58),(8,61),(9,10),(9,11),(9,58),(9,59),(9,60),(10,70),(10,71),(10,84),(11,72),(11,73),(11,84),(12,34),(12,35),(12,74),(12,82),(13,36),(13,37),(13,75),(13,82),(14,34),(14,36),(14,76),(14,83),(15,35),(15,37),(15,77),(15,83),(16,38),(16,39),(16,46),(16,70),(16,74),(17,40),(17,41),(17,47),(17,70),(17,75),(18,38),(18,40),(18,48),(18,71),(18,76),(19,39),(19,41),(19,49),(19,71),(19,77),(20,42),(20,43),(20,50),(20,72),(20,74),(21,44),(21,45),(21,51),(21,72),(21,75),(22,42),(22,44),(22,52),(22,73),(22,76),(23,43),(23,45),(23,53),(23,73),(23,77),(24,34),(24,38),(24,42),(24,54),(24,85),(25,35),(25,39),(25,43),(25,55),(25,85),(26,36),(26,40),(26,44),(26,56),(26,85),(27,37),(27,41),(27,45),(27,57),(27,85),(28,46),(28,50),(28,54),(28,55),(28,82),(29,47),(29,51),(29,56),(29,57),(29,82),(30,48),(30,52),(30,54),(30,56),(30,83),(31,49),(31,53),(31,55),(31,57),(31,83),(32,46),(32,47),(32,48),(32,49),(32,84),(33,50),(33,51),(33,52),(33,53),(33,84),(34,78),(34,90),(35,79),(35,90),(36,80),(36,90),(37,81),(37,90),(38,62),(38,78),(38,86),(39,63),(39,79),(39,86),(40,64),(40,80),(40,86),(41,65),(41,81),(41,86),(42,66),(42,78),(42,87),(43,67),(43,79),(43,87),(44,68),(44,80),(44,87),(45,69),(45,81),(45,87),(46,62),(46,63),(46,88),(47,64),(47,65),(47,88),(48,62),(48,64),(48,89),(49,63),(49,65),(49,89),(50,66),(50,67),(50,88),(51,68),(51,69),(51,88),(52,66),(52,68),(52,89),(53,67),(53,69),(53,89),(54,62),(54,66),(54,90),(55,63),(55,67),(55,90),(56,64),(56,68),(56,90),(57,65),(57,69),(57,90),(58,82),(58,83),(58,84),(59,71),(59,73),(59,83),(59,85),(60,70),(60,72),(60,82),(60,85),(61,74),(61,75),(61,76),(61,77),(61,84),(62,91),(63,91),(64,91),(65,91),(66,91),(67,91),(68,91),(69,91),(70,86),(70,88),(71,86),(71,89),(72,87),(72,88),(73,87),(73,89),(74,78),(74,79),(74,88),(75,80),(75,81),(75,88),(76,78),(76,80),(76,89),(77,79),(77,81),(77,89),(78,91),(79,91),(80,91),(81,91),(82,88),(82,90),(83,89),(83,90),(84,88),(84,89),(85,86),(85,87),(85,90),(86,91),(87,91),(88,91),(89,91),(90,91)],92) ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,11),(1,12),(1,51),(1,52),(2,16),(2,20),(2,24),(2,28),(2,30),(2,52),(3,15),(3,19),(3,23),(3,28),(3,29),(3,51),(4,17),(4,21),(4,25),(4,27),(4,29),(4,52),(5,18),(5,22),(5,26),(5,27),(5,30),(5,51),(6,9),(6,11),(6,14),(6,19),(6,20),(6,21),(6,22),(7,9),(7,10),(7,13),(7,15),(7,16),(7,17),(7,18),(8,12),(8,13),(8,14),(8,23),(8,24),(8,25),(8,26),(9,37),(9,40),(9,69),(9,70),(10,37),(10,49),(10,53),(10,54),(11,37),(11,50),(11,55),(11,56),(12,49),(12,50),(12,57),(12,58),(13,40),(13,41),(13,42),(13,43),(13,44),(13,49),(14,40),(14,45),(14,46),(14,47),(14,48),(14,50),(15,33),(15,41),(15,53),(15,69),(16,34),(16,42),(16,54),(16,69),(17,33),(17,43),(17,54),(17,70),(18,34),(18,44),(18,53),(18,70),(19,35),(19,45),(19,55),(19,69),(20,36),(20,46),(20,56),(20,69),(21,35),(21,47),(21,56),(21,70),(22,36),(22,48),(22,55),(22,70),(23,31),(23,38),(23,41),(23,45),(23,57),(24,32),(24,38),(24,42),(24,46),(24,58),(25,31),(25,39),(25,43),(25,47),(25,58),(26,32),(26,39),(26,44),(26,48),(26,57),(27,39),(27,68),(27,70),(28,38),(28,68),(28,69),(29,31),(29,33),(29,35),(29,68),(30,32),(30,34),(30,36),(30,68),(31,60),(31,62),(31,71),(32,61),(32,63),(32,71),(33,60),(33,74),(34,61),(34,74),(35,62),(35,74),(36,63),(36,74),(37,59),(37,74),(38,71),(38,72),(39,71),(39,73),(40,59),(40,72),(40,73),(41,60),(41,64),(41,72),(42,61),(42,65),(42,72),(43,60),(43,65),(43,73),(44,61),(44,64),(44,73),(45,62),(45,66),(45,72),(46,63),(46,67),(46,72),(47,62),(47,67),(47,73),(48,63),(48,66),(48,73),(49,59),(49,64),(49,65),(50,59),(50,66),(50,67),(51,53),(51,55),(51,57),(51,68),(52,54),(52,56),(52,58),(52,68),(53,64),(53,74),(54,65),(54,74),(55,66),(55,74),(56,67),(56,74),(57,64),(57,66),(57,71),(58,65),(58,67),(58,71),(59,75),(60,75),(61,75),(62,75),(63,75),(64,75),(65,75),(66,75),(67,75),(68,71),(68,74),(69,72),(69,74),(70,73),(70,74),(71,75),(72,75),(73,75),(74,75)],76) ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,26),(1,27),(1,28),(2,9),(2,10),(2,11),(2,29),(2,30),(3,13),(3,17),(3,21),(3,28),(3,30),(4,12),(4,16),(4,21),(4,27),(4,29),(5,15),(5,18),(5,20),(5,27),(5,30),(6,14),(6,19),(6,20),(6,28),(6,29),(7,11),(7,16),(7,17),(7,18),(7,19),(7,26),(8,10),(8,12),(8,13),(8,14),(8,15),(8,26),(9,35),(9,38),(10,31),(10,32),(10,35),(11,33),(11,34),(11,35),(12,22),(12,31),(12,36),(13,22),(13,32),(13,37),(14,23),(14,31),(14,37),(15,23),(15,32),(15,36),(16,24),(16,33),(16,36),(17,24),(17,34),(17,37),(18,25),(18,34),(18,36),(19,25),(19,33),(19,37),(20,23),(20,25),(20,38),(21,22),(21,24),(21,38),(22,39),(23,39),(24,39),(25,39),(26,35),(26,36),(26,37),(27,36),(27,38),(28,37),(28,38),(29,31),(29,33),(29,38),(30,32),(30,34),(30,38),(31,39),(32,39),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60) ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(1,22),(1,23),(1,24),(1,25),(1,26),(1,29),(1,30),(2,13),(2,18),(2,19),(2,20),(2,21),(2,30),(2,36),(3,12),(3,14),(3,15),(3,16),(3,17),(3,29),(3,36),(4,11),(4,12),(4,13),(4,26),(4,51),(4,52),(5,15),(5,19),(5,23),(5,28),(5,50),(5,52),(6,14),(6,18),(6,22),(6,28),(6,49),(6,51),(7,17),(7,20),(7,24),(7,27),(7,49),(7,52),(8,16),(8,21),(8,25),(8,27),(8,50),(8,51),(9,10),(9,11),(9,36),(9,49),(9,50),(10,31),(10,58),(10,59),(10,60),(11,31),(11,57),(11,74),(12,32),(12,57),(12,63),(12,64),(13,33),(13,57),(13,65),(13,66),(14,37),(14,45),(14,63),(14,72),(15,38),(15,45),(15,64),(15,73),(16,39),(16,46),(16,63),(16,73),(17,40),(17,46),(17,64),(17,72),(18,41),(18,47),(18,65),(18,72),(19,42),(19,47),(19,66),(19,73),(20,43),(20,48),(20,66),(20,72),(21,44),(21,48),(21,65),(21,73),(22,34),(22,37),(22,41),(22,58),(22,61),(23,34),(23,38),(23,42),(23,59),(23,62),(24,35),(24,40),(24,43),(24,58),(24,62),(25,35),(25,39),(25,44),(25,59),(25,61),(26,31),(26,32),(26,33),(26,61),(26,62),(27,35),(27,46),(27,48),(27,74),(28,34),(28,45),(28,47),(28,74),(29,32),(29,37),(29,38),(29,39),(29,40),(29,60),(30,33),(30,41),(30,42),(30,43),(30,44),(30,60),(31,71),(31,77),(32,67),(32,68),(32,71),(33,69),(33,70),(33,71),(34,53),(34,55),(34,77),(35,54),(35,56),(35,77),(36,57),(36,60),(36,72),(36,73),(37,53),(37,67),(37,75),(38,53),(38,68),(38,76),(39,54),(39,67),(39,76),(40,54),(40,68),(40,75),(41,55),(41,69),(41,75),(42,55),(42,70),(42,76),(43,56),(43,70),(43,75),(44,56),(44,69),(44,76),(45,53),(45,78),(46,54),(46,78),(47,55),(47,78),(48,56),(48,78),(49,58),(49,72),(49,74),(50,59),(50,73),(50,74),(51,61),(51,63),(51,65),(51,74),(52,62),(52,64),(52,66),(52,74),(53,79),(54,79),(55,79),(56,79),(57,71),(57,78),(58,75),(58,77),(59,76),(59,77),(60,71),(60,75),(60,76),(61,67),(61,69),(61,77),(62,68),(62,70),(62,77),(63,67),(63,78),(64,68),(64,78),(65,69),(65,78),(66,70),(66,78),(67,79),(68,79),(69,79),(70,79),(71,79),(72,75),(72,78),(73,76),(73,78),(74,77),(74,78),(75,79),(76,79),(77,79),(78,79)],80) 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([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,11),(1,12),(1,51),(1,52),(2,16),(2,20),(2,24),(2,28),(2,30),(2,52),(3,15),(3,19),(3,23),(3,28),(3,29),(3,51),(4,17),(4,21),(4,25),(4,27),(4,29),(4,52),(5,18),(5,22),(5,26),(5,27),(5,30),(5,51),(6,9),(6,11),(6,14),(6,19),(6,20),(6,21),(6,22),(7,9),(7,10),(7,13),(7,15),(7,16),(7,17),(7,18),(8,12),(8,13),(8,14),(8,23),(8,24),(8,25),(8,26),(9,37),(9,40),(9,69),(9,70),(10,37),(10,49),(10,53),(10,54),(11,37),(11,50),(11,55),(11,56),(12,49),(12,50),(12,57),(12,58),(13,40),(13,41),(13,42),(13,43),(13,44),(13,49),(14,40),(14,45),(14,46),(14,47),(14,48),(14,50),(15,33),(15,41),(15,53),(15,69),(16,34),(16,42),(16,54),(16,69),(17,33),(17,43),(17,54),(17,70),(18,34),(18,44),(18,53),(18,70),(19,35),(19,45),(19,55),(19,69),(20,36),(20,46),(20,56),(20,69),(21,35),(21,47),(21,56),(21,70),(22,36),(22,48),(22,55),(22,70),(23,31),(23,38),(23,41),(23,45),(23,57),(24,32),(24,38),(24,42),(24,46),(24,58),(25,31),(25,39),(25,43),(25,47),(25,58),(26,32),(26,39),(26,44),(26,48),(26,57),(27,39),(27,68),(27,70),(28,38),(28,68),(28,69),(29,31),(29,33),(29,35),(29,68),(30,32),(30,34),(30,36),(30,68),(31,60),(31,62),(31,71),(32,61),(32,63),(32,71),(33,60),(33,74),(34,61),(34,74),(35,62),(35,74),(36,63),(36,74),(37,59),(37,74),(38,71),(38,72),(39,71),(39,73),(40,59),(40,72),(40,73),(41,60),(41,64),(41,72),(42,61),(42,65),(42,72),(43,60),(43,65),(43,73),(44,61),(44,64),(44,73),(45,62),(45,66),(45,72),(46,63),(46,67),(46,72),(47,62),(47,67),(47,73),(48,63),(48,66),(48,73),(49,59),(49,64),(49,65),(50,59),(50,66),(50,67),(51,53),(51,55),(51,57),(51,68),(52,54),(52,56),(52,58),(52,68),(53,64),(53,74),(54,65),(54,74),(55,66),(55,74),(56,67),(56,74),(57,64),(57,66),(57,71),(58,65),(58,67),(58,71),(59,75),(60,75),(61,75),(62,75),(63,75),(64,75),(65,75),(66,75),(67,75),(68,71),(68,74),(69,72),(69,74),(70,73),(70,74),(71,75),(72,75),(73,75),(74,75)],76) ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(1,20),(1,24),(1,30),(1,32),(2,15),(2,19),(2,23),(2,30),(2,31),(3,17),(3,21),(3,23),(3,29),(3,32),(4,18),(4,22),(4,24),(4,29),(4,31),(5,10),(5,13),(5,14),(5,17),(5,18),(5,30),(6,10),(6,11),(6,12),(6,15),(6,16),(6,29),(7,9),(7,11),(7,13),(7,19),(7,22),(7,32),(8,9),(8,12),(8,14),(8,20),(8,21),(8,31),(9,35),(9,36),(9,41),(10,33),(10,34),(10,41),(11,25),(11,38),(11,41),(12,26),(12,37),(12,41),(13,28),(13,39),(13,41),(14,27),(14,40),(14,41),(15,25),(15,33),(15,37),(16,26),(16,33),(16,38),(17,27),(17,34),(17,39),(18,28),(18,34),(18,40),(19,25),(19,35),(19,39),(20,26),(20,36),(20,40),(21,27),(21,36),(21,37),(22,28),(22,35),(22,38),(23,37),(23,39),(24,38),(24,40),(25,42),(26,42),(27,42),(28,42),(29,34),(29,37),(29,38),(30,33),(30,39),(30,40),(31,35),(31,37),(31,40),(32,36),(32,38),(32,39),(33,42),(34,42),(35,42),(36,42),(37,42),(38,42),(39,42),(40,42),(41,42)],43) ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(1,25),(1,29),(1,33),(1,55),(1,57),(2,20),(2,24),(2,28),(2,32),(2,55),(2,56),(3,22),(3,26),(3,30),(3,32),(3,54),(3,57),(4,23),(4,27),(4,31),(4,33),(4,54),(4,56),(5,11),(5,14),(5,15),(5,17),(5,22),(5,23),(5,55),(6,11),(6,12),(6,13),(6,16),(6,20),(6,21),(6,54),(7,10),(7,12),(7,14),(7,18),(7,24),(7,27),(7,57),(8,10),(8,13),(8,15),(8,19),(8,25),(8,26),(8,56),(9,16),(9,17),(9,18),(9,19),(9,28),(9,29),(9,30),(9,31),(10,53),(10,60),(10,61),(10,74),(11,52),(11,58),(11,59),(11,74),(12,34),(12,38),(12,74),(12,76),(13,35),(13,39),(13,74),(13,75),(14,37),(14,40),(14,74),(14,77),(15,36),(15,41),(15,74),(15,78),(16,38),(16,39),(16,44),(16,45),(16,52),(16,62),(17,40),(17,41),(17,46),(17,47),(17,52),(17,63),(18,38),(18,40),(18,48),(18,51),(18,53),(18,65),(19,39),(19,41),(19,49),(19,50),(19,53),(19,64),(20,34),(20,44),(20,58),(20,75),(21,35),(21,45),(21,58),(21,76),(22,36),(22,46),(22,59),(22,77),(23,37),(23,47),(23,59),(23,78),(24,34),(24,48),(24,60),(24,77),(25,35),(25,49),(25,61),(25,78),(26,36),(26,50),(26,61),(26,75),(27,37),(27,51),(27,60),(27,76),(28,42),(28,44),(28,48),(28,63),(28,64),(29,43),(29,45),(29,49),(29,63),(29,65),(30,42),(30,46),(30,50),(30,62),(30,65),(31,43),(31,47),(31,51),(31,62),(31,64),(32,42),(32,75),(32,77),(33,43),(33,76),(33,78),(34,66),(34,84),(35,67),(35,84),(36,68),(36,84),(37,69),(37,84),(38,66),(38,80),(38,83),(39,67),(39,79),(39,83),(40,69),(40,81),(40,83),(41,68),(41,82),(41,83),(42,79),(42,81),(43,80),(43,82),(44,66),(44,70),(44,79),(45,67),(45,70),(45,80),(46,68),(46,71),(46,81),(47,69),(47,71),(47,82),(48,66),(48,72),(48,81),(49,67),(49,73),(49,82),(50,68),(50,73),(50,79),(51,69),(51,72),(51,80),(52,70),(52,71),(52,83),(53,72),(53,73),(53,83),(54,59),(54,62),(54,75),(54,76),(55,58),(55,63),(55,77),(55,78),(56,60),(56,64),(56,75),(56,78),(57,61),(57,65),(57,76),(57,77),(58,70),(58,84),(59,71),(59,84),(60,72),(60,84),(61,73),(61,84),(62,71),(62,79),(62,80),(63,70),(63,81),(63,82),(64,72),(64,79),(64,82),(65,73),(65,80),(65,81),(66,85),(67,85),(68,85),(69,85),(70,85),(71,85),(72,85),(73,85),(74,83),(74,84),(75,79),(75,84),(76,80),(76,84),(77,81),(77,84),(78,82),(78,84),(79,85),(80,85),(81,85),(82,85),(83,85),(84,85)],86) ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([(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),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58) ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,10),(1,16),(1,26),(1,27),(1,28),(2,8),(2,10),(2,15),(2,23),(2,24),(2,25),(3,8),(3,9),(3,14),(3,20),(3,21),(3,22),(4,12),(4,13),(4,19),(4,22),(4,25),(4,28),(5,11),(5,13),(5,18),(5,21),(5,24),(5,27),(6,11),(6,12),(6,17),(6,20),(6,23),(6,26),(7,14),(7,15),(7,16),(7,17),(7,18),(7,19),(8,35),(8,36),(8,37),(8,66),(9,29),(9,30),(9,31),(9,66),(10,32),(10,33),(10,34),(10,66),(11,40),(11,43),(11,46),(11,65),(12,38),(12,41),(12,44),(12,65),(13,39),(13,42),(13,45),(13,65),(14,47),(14,48),(14,49),(14,66),(15,50),(15,51),(15,52),(15,66),(16,53),(16,54),(16,55),(16,66),(17,47),(17,50),(17,53),(17,65),(18,48),(18,51),(18,54),(18,65),(19,49),(19,52),(19,55),(19,65),(20,29),(20,35),(20,38),(20,40),(20,47),(21,30),(21,36),(21,39),(21,40),(21,48),(22,31),(22,37),(22,38),(22,39),(22,49),(23,32),(23,35),(23,41),(23,43),(23,50),(24,33),(24,36),(24,42),(24,43),(24,51),(25,34),(25,37),(25,41),(25,42),(25,52),(26,29),(26,32),(26,44),(26,46),(26,53),(27,30),(27,33),(27,45),(27,46),(27,54),(28,31),(28,34),(28,44),(28,45),(28,55),(29,56),(29,58),(29,67),(30,57),(30,58),(30,68),(31,56),(31,57),(31,69),(32,59),(32,61),(32,67),(33,60),(33,61),(33,68),(34,59),(34,60),(34,69),(35,62),(35,64),(35,67),(36,63),(36,64),(36,68),(37,62),(37,63),(37,69),(38,56),(38,62),(38,70),(39,57),(39,63),(39,70),(40,58),(40,64),(40,70),(41,59),(41,62),(41,71),(42,60),(42,63),(42,71),(43,61),(43,64),(43,71),(44,56),(44,59),(44,72),(45,57),(45,60),(45,72),(46,58),(46,61),(46,72),(47,67),(47,70),(48,68),(48,70),(49,69),(49,70),(50,67),(50,71),(51,68),(51,71),(52,69),(52,71),(53,67),(53,72),(54,68),(54,72),(55,69),(55,72),(56,73),(57,73),(58,73),(59,73),(60,73),(61,73),(62,73),(63,73),(64,73),(65,70),(65,71),(65,72),(66,67),(66,68),(66,69),(67,73),(68,73),(69,73),(70,73),(71,73),(72,73)],74) ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62) ([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,12),(5,13),(5,14),(5,15),(5,26),(6,8),(6,9),(6,10),(6,11),(6,26),(7,16),(7,17),(7,18),(7,19),(7,26),(8,37),(8,38),(8,40),(8,57),(9,37),(9,39),(9,41),(9,58),(10,38),(10,39),(10,42),(10,59),(11,40),(11,41),(11,42),(11,60),(12,43),(12,44),(12,46),(12,57),(13,43),(13,45),(13,47),(13,58),(14,44),(14,45),(14,48),(14,59),(15,46),(15,47),(15,48),(15,60),(16,31),(16,32),(16,34),(16,57),(17,31),(17,33),(17,35),(17,58),(18,32),(18,33),(18,36),(18,59),(19,34),(19,35),(19,36),(19,60),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,57),(26,58),(26,59),(26,60),(27,49),(27,53),(27,67),(28,50),(28,54),(28,67),(29,51),(29,55),(29,67),(30,52),(30,56),(30,67),(31,63),(31,67),(32,61),(32,67),(33,62),(33,67),(34,64),(34,67),(35,65),(35,67),(36,66),(36,67),(37,49),(37,52),(37,63),(38,49),(38,50),(38,61),(39,49),(39,51),(39,62),(40,50),(40,52),(40,64),(41,51),(41,52),(41,65),(42,50),(42,51),(42,66),(43,53),(43,56),(43,63),(44,53),(44,54),(44,61),(45,53),(45,55),(45,62),(46,54),(46,56),(46,64),(47,55),(47,56),(47,65),(48,54),(48,55),(48,66),(49,68),(50,68),(51,68),(52,68),(53,68),(54,68),(55,68),(56,68),(57,61),(57,63),(57,64),(58,62),(58,63),(58,65),(59,61),(59,62),(59,66),(60,64),(60,65),(60,66),(61,68),(62,68),(63,68),(64,68),(65,68),(66,68),(67,68)],69) ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62) ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,14),(1,20),(1,21),(1,24),(1,27),(1,30),(2,10),(2,13),(2,19),(2,21),(2,23),(2,26),(2,29),(3,9),(3,12),(3,19),(3,20),(3,22),(3,25),(3,28),(4,12),(4,13),(4,14),(4,17),(4,18),(4,56),(5,15),(5,16),(5,22),(5,23),(5,24),(5,56),(6,16),(6,18),(6,28),(6,29),(6,30),(6,55),(7,15),(7,17),(7,25),(7,26),(7,27),(7,55),(8,9),(8,10),(8,11),(8,55),(8,56),(9,31),(9,32),(9,63),(9,66),(10,31),(10,33),(10,64),(10,67),(11,32),(11,33),(11,65),(11,68),(12,34),(12,37),(12,63),(12,72),(13,35),(13,38),(13,64),(13,72),(14,36),(14,39),(14,65),(14,72),(15,49),(15,50),(15,51),(15,73),(16,52),(16,53),(16,54),(16,73),(17,34),(17,35),(17,36),(17,73),(18,37),(18,38),(18,39),(18,73),(19,31),(19,42),(19,45),(19,48),(19,72),(20,32),(20,40),(20,43),(20,46),(20,72),(21,33),(21,41),(21,44),(21,47),(21,72),(22,46),(22,48),(22,49),(22,52),(22,63),(23,47),(23,48),(23,50),(23,53),(23,64),(24,46),(24,47),(24,51),(24,54),(24,65),(25,34),(25,40),(25,42),(25,49),(25,66),(26,35),(26,41),(26,42),(26,50),(26,67),(27,36),(27,40),(27,41),(27,51),(27,68),(28,37),(28,43),(28,45),(28,52),(28,66),(29,38),(29,44),(29,45),(29,53),(29,67),(30,39),(30,43),(30,44),(30,54),(30,68),(31,71),(31,79),(32,69),(32,79),(33,70),(33,79),(34,74),(34,77),(35,75),(35,77),(36,76),(36,77),(37,74),(37,78),(38,75),(38,78),(39,76),(39,78),(40,57),(40,69),(40,77),(41,58),(41,70),(41,77),(42,59),(42,71),(42,77),(43,60),(43,69),(43,78),(44,61),(44,70),(44,78),(45,62),(45,71),(45,78),(46,57),(46,60),(46,79),(47,58),(47,61),(47,79),(48,59),(48,62),(48,79),(49,57),(49,59),(49,74),(50,58),(50,59),(50,75),(51,57),(51,58),(51,76),(52,60),(52,62),(52,74),(53,61),(53,62),(53,75),(54,60),(54,61),(54,76),(55,66),(55,67),(55,68),(55,73),(56,63),(56,64),(56,65),(56,73),(57,80),(58,80),(59,80),(60,80),(61,80),(62,80),(63,74),(63,79),(64,75),(64,79),(65,76),(65,79),(66,69),(66,71),(66,74),(67,70),(67,71),(67,75),(68,69),(68,70),(68,76),(69,80),(70,80),(71,80),(72,77),(72,78),(72,79),(73,74),(73,75),(73,76),(74,80),(75,80),(76,80),(77,80),(78,80),(79,80)],81) ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,13),(1,14),(1,44),(1,46),(2,9),(2,11),(2,12),(2,44),(2,45),(3,15),(3,24),(3,25),(3,26),(3,27),(3,44),(4,12),(4,17),(4,22),(4,23),(4,25),(4,46),(5,11),(5,16),(5,20),(5,21),(5,24),(5,46),(6,14),(6,19),(6,21),(6,23),(6,27),(6,45),(7,13),(7,18),(7,20),(7,22),(7,26),(7,45),(8,9),(8,10),(8,15),(8,16),(8,17),(8,18),(8,19),(9,36),(9,37),(9,47),(9,52),(10,38),(10,39),(10,47),(10,53),(11,36),(11,48),(11,62),(12,37),(12,49),(12,62),(13,38),(13,50),(13,63),(14,39),(14,51),(14,63),(15,32),(15,33),(15,34),(15,35),(15,47),(16,32),(16,36),(16,40),(16,41),(16,53),(17,33),(17,37),(17,42),(17,43),(17,53),(18,34),(18,38),(18,40),(18,42),(18,52),(19,35),(19,39),(19,41),(19,43),(19,52),(20,28),(20,40),(20,48),(20,50),(21,29),(21,41),(21,48),(21,51),(22,30),(22,42),(22,49),(22,50),(23,31),(23,43),(23,49),(23,51),(24,28),(24,29),(24,32),(24,62),(25,30),(25,31),(25,33),(25,62),(26,28),(26,30),(26,34),(26,63),(27,29),(27,31),(27,35),(27,63),(28,54),(28,66),(29,55),(29,66),(30,56),(30,66),(31,57),(31,66),(32,54),(32,55),(32,64),(33,56),(33,57),(33,64),(34,54),(34,56),(34,65),(35,55),(35,57),(35,65),(36,58),(36,64),(37,59),(37,64),(38,60),(38,65),(39,61),(39,65),(40,54),(40,58),(40,60),(41,55),(41,58),(41,61),(42,56),(42,59),(42,60),(43,57),(43,59),(43,61),(44,47),(44,62),(44,63),(45,48),(45,49),(45,52),(45,63),(46,50),(46,51),(46,53),(46,62),(47,64),(47,65),(48,58),(48,66),(49,59),(49,66),(50,60),(50,66),(51,61),(51,66),(52,58),(52,59),(52,65),(53,60),(53,61),(53,64),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,67),(61,67),(62,64),(62,66),(63,65),(63,66),(64,67),(65,67),(66,67)],68) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(1,13),(1,22),(1,25),(1,26),(1,52),(2,10),(2,11),(2,22),(2,23),(2,24),(2,51),(3,16),(3,17),(3,24),(3,29),(3,30),(3,52),(4,14),(4,15),(4,23),(4,27),(4,28),(4,52),(5,20),(5,21),(5,26),(5,28),(5,30),(5,51),(6,18),(6,19),(6,25),(6,27),(6,29),(6,51),(7,9),(7,11),(7,13),(7,15),(7,17),(7,19),(7,21),(8,9),(8,10),(8,12),(8,14),(8,16),(8,18),(8,20),(9,31),(9,32),(9,33),(9,34),(9,75),(10,35),(10,37),(10,59),(10,75),(11,36),(11,38),(11,60),(11,75),(12,39),(12,41),(12,61),(12,75),(13,40),(13,42),(13,62),(13,75),(14,31),(14,35),(14,43),(14,45),(14,61),(15,31),(15,36),(15,44),(15,46),(15,62),(16,32),(16,37),(16,47),(16,49),(16,61),(17,32),(17,38),(17,48),(17,50),(17,62),(18,33),(18,39),(18,43),(18,47),(18,59),(19,33),(19,40),(19,44),(19,48),(19,60),(20,34),(20,41),(20,45),(20,49),(20,59),(21,34),(21,42),(21,46),(21,50),(21,60),(22,53),(22,54),(22,75),(23,35),(23,36),(23,53),(23,55),(24,37),(24,38),(24,53),(24,56),(25,39),(25,40),(25,54),(25,57),(26,41),(26,42),(26,54),(26,58),(27,43),(27,44),(27,55),(27,57),(28,45),(28,46),(28,55),(28,58),(29,47),(29,48),(29,56),(29,57),(30,49),(30,50),(30,56),(30,58),(31,63),(31,64),(31,77),(32,65),(32,66),(32,77),(33,63),(33,65),(33,78),(34,64),(34,66),(34,78),(35,67),(35,77),(36,68),(36,77),(37,69),(37,77),(38,70),(38,77),(39,71),(39,78),(40,72),(40,78),(41,73),(41,78),(42,74),(42,78),(43,63),(43,67),(43,71),(44,63),(44,68),(44,72),(45,64),(45,67),(45,73),(46,64),(46,68),(46,74),(47,65),(47,69),(47,71),(48,65),(48,70),(48,72),(49,66),(49,69),(49,73),(50,66),(50,70),(50,74),(51,54),(51,55),(51,56),(51,59),(51,60),(52,53),(52,57),(52,58),(52,61),(52,62),(53,76),(53,77),(54,76),(54,78),(55,67),(55,68),(55,76),(56,69),(56,70),(56,76),(57,71),(57,72),(57,76),(58,73),(58,74),(58,76),(59,67),(59,69),(59,78),(60,68),(60,70),(60,78),(61,71),(61,73),(61,77),(62,72),(62,74),(62,77),(63,79),(64,79),(65,79),(66,79),(67,79),(68,79),(69,79),(70,79),(71,79),(72,79),(73,79),(74,79),(75,77),(75,78),(76,79),(77,79),(78,79)],80) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,15),(1,16),(1,17),(1,18),(1,54),(1,55),(2,10),(2,13),(2,14),(2,20),(2,55),(2,57),(3,10),(3,11),(3,12),(3,19),(3,54),(3,56),(4,12),(4,16),(4,23),(4,24),(4,26),(4,30),(4,57),(5,11),(5,15),(5,21),(5,22),(5,25),(5,29),(5,57),(6,14),(6,18),(6,22),(6,24),(6,28),(6,32),(6,56),(7,13),(7,17),(7,21),(7,23),(7,27),(7,31),(7,56),(8,19),(8,27),(8,28),(8,29),(8,30),(8,33),(8,55),(9,20),(9,25),(9,26),(9,31),(9,32),(9,33),(9,54),(10,58),(10,59),(10,78),(11,42),(11,58),(11,60),(11,64),(12,43),(12,58),(12,61),(12,65),(13,44),(13,59),(13,62),(13,66),(14,45),(14,59),(14,63),(14,67),(15,38),(15,39),(15,60),(15,80),(16,40),(16,41),(16,61),(16,80),(17,38),(17,40),(17,62),(17,79),(18,39),(18,41),(18,63),(18,79),(19,42),(19,43),(19,68),(19,78),(20,44),(20,45),(20,69),(20,78),(21,38),(21,46),(21,50),(21,64),(21,66),(22,39),(22,47),(22,51),(22,64),(22,67),(23,40),(23,48),(23,52),(23,65),(23,66),(24,41),(24,49),(24,53),(24,65),(24,67),(25,34),(25,50),(25,51),(25,60),(25,69),(26,35),(26,52),(26,53),(26,61),(26,69),(27,36),(27,46),(27,48),(27,62),(27,68),(28,37),(28,47),(28,49),(28,63),(28,68),(29,34),(29,42),(29,46),(29,47),(29,80),(30,35),(30,43),(30,48),(30,49),(30,80),(31,36),(31,44),(31,50),(31,52),(31,79),(32,37),(32,45),(32,51),(32,53),(32,79),(33,34),(33,35),(33,36),(33,37),(33,78),(34,70),(34,71),(34,86),(35,72),(35,73),(35,86),(36,70),(36,72),(36,87),(37,71),(37,73),(37,87),(38,82),(38,84),(39,82),(39,85),(40,83),(40,84),(41,83),(41,85),(42,74),(42,86),(43,75),(43,86),(44,76),(44,87),(45,77),(45,87),(46,70),(46,74),(46,84),(47,71),(47,74),(47,85),(48,72),(48,75),(48,84),(49,73),(49,75),(49,85),(50,70),(50,76),(50,82),(51,71),(51,77),(51,82),(52,72),(52,76),(52,83),(53,73),(53,77),(53,83),(54,60),(54,61),(54,78),(54,79),(55,62),(55,63),(55,78),(55,80),(56,59),(56,64),(56,65),(56,68),(56,79),(57,58),(57,66),(57,67),(57,69),(57,80),(58,81),(58,86),(59,81),(59,87),(60,82),(60,86),(61,83),(61,86),(62,84),(62,87),(63,85),(63,87),(64,74),(64,81),(64,82),(65,75),(65,81),(65,83),(66,76),(66,81),(66,84),(67,77),(67,81),(67,85),(68,74),(68,75),(68,87),(69,76),(69,77),(69,86),(70,88),(71,88),(72,88),(73,88),(74,88),(75,88),(76,88),(77,88),(78,86),(78,87),(79,82),(79,83),(79,87),(80,84),(80,85),(80,86),(81,88),(82,88),(83,88),(84,88),(85,88),(86,88),(87,88)],89) 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([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) 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([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,16),(1,21),(1,23),(2,8),(2,16),(2,20),(2,22),(3,10),(3,15),(3,20),(3,23),(4,11),(4,15),(4,21),(4,22),(5,13),(5,14),(5,22),(5,23),(6,12),(6,14),(6,20),(6,21),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,17),(8,24),(8,26),(9,17),(9,25),(9,27),(10,18),(10,24),(10,27),(11,18),(11,25),(11,26),(12,19),(12,24),(12,25),(13,19),(13,26),(13,27),(14,19),(14,28),(15,18),(15,28),(16,17),(16,28),(17,29),(18,29),(19,29),(20,24),(20,28),(21,25),(21,28),(22,26),(22,28),(23,27),(23,28),(24,29),(25,29),(26,29),(27,29),(28,29)],30) ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(1,40),(1,41),(2,15),(2,16),(2,17),(2,26),(2,27),(2,41),(3,12),(3,13),(3,14),(3,24),(3,25),(3,41),(4,21),(4,22),(4,23),(4,25),(4,27),(4,40),(5,18),(5,19),(5,20),(5,24),(5,26),(5,40),(6,11),(6,14),(6,17),(6,20),(6,23),(6,42),(7,10),(7,13),(7,16),(7,19),(7,22),(7,42),(8,9),(8,12),(8,15),(8,18),(8,21),(8,42),(9,43),(9,46),(9,49),(10,44),(10,47),(10,49),(11,45),(11,48),(11,49),(12,28),(12,31),(12,43),(12,50),(13,29),(13,32),(13,44),(13,50),(14,30),(14,33),(14,45),(14,50),(15,34),(15,37),(15,43),(15,51),(16,35),(16,38),(16,44),(16,51),(17,36),(17,39),(17,45),(17,51),(18,28),(18,34),(18,46),(18,52),(19,29),(19,35),(19,47),(19,52),(20,30),(20,36),(20,48),(20,52),(21,31),(21,37),(21,46),(21,53),(22,32),(22,38),(22,47),(22,53),(23,33),(23,39),(23,48),(23,53),(24,28),(24,29),(24,30),(24,58),(25,31),(25,32),(25,33),(25,58),(26,34),(26,35),(26,36),(26,58),(27,37),(27,38),(27,39),(27,58),(28,54),(28,61),(29,54),(29,62),(30,54),(30,63),(31,55),(31,61),(32,55),(32,62),(33,55),(33,63),(34,56),(34,61),(35,56),(35,62),(36,56),(36,63),(37,57),(37,61),(38,57),(38,62),(39,57),(39,63),(40,46),(40,47),(40,48),(40,58),(41,43),(41,44),(41,45),(41,58),(42,49),(42,50),(42,51),(42,52),(42,53),(43,59),(43,61),(44,59),(44,62),(45,59),(45,63),(46,60),(46,61),(47,60),(47,62),(48,60),(48,63),(49,59),(49,60),(50,54),(50,55),(50,59),(51,56),(51,57),(51,59),(52,54),(52,56),(52,60),(53,55),(53,57),(53,60),(54,64),(55,64),(56,64),(57,64),(58,61),(58,62),(58,63),(59,64),(60,64),(61,64),(62,64),(63,64)],65) ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60) ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,17),(1,23),(1,30),(1,42),(1,44),(2,10),(2,16),(2,22),(2,30),(2,41),(2,43),(3,12),(3,18),(3,24),(3,29),(3,41),(3,44),(4,13),(4,19),(4,25),(4,29),(4,42),(4,43),(5,15),(5,21),(5,27),(5,28),(5,43),(5,44),(6,14),(6,20),(6,26),(6,28),(6,41),(6,42),(7,22),(7,23),(7,24),(7,25),(7,26),(7,27),(7,31),(8,16),(8,17),(8,18),(8,19),(8,20),(8,21),(8,31),(9,10),(9,11),(9,12),(9,13),(9,14),(9,15),(9,31),(10,32),(10,45),(10,47),(10,57),(11,32),(11,46),(11,48),(11,58),(12,33),(12,45),(12,48),(12,59),(13,33),(13,46),(13,47),(13,60),(14,34),(14,45),(14,46),(14,61),(15,34),(15,47),(15,48),(15,62),(16,35),(16,49),(16,51),(16,57),(17,35),(17,50),(17,52),(17,58),(18,36),(18,49),(18,52),(18,59),(19,36),(19,50),(19,51),(19,60),(20,37),(20,49),(20,50),(20,61),(21,37),(21,51),(21,52),(21,62),(22,38),(22,53),(22,55),(22,57),(23,38),(23,54),(23,56),(23,58),(24,39),(24,53),(24,56),(24,59),(25,39),(25,54),(25,55),(25,60),(26,40),(26,53),(26,54),(26,61),(27,40),(27,55),(27,56),(27,62),(28,34),(28,37),(28,40),(28,70),(29,33),(29,36),(29,39),(29,70),(30,32),(30,35),(30,38),(30,70),(31,57),(31,58),(31,59),(31,60),(31,61),(31,62),(32,63),(32,71),(33,64),(33,71),(34,65),(34,71),(35,63),(35,72),(36,64),(36,72),(37,65),(37,72),(38,63),(38,73),(39,64),(39,73),(40,65),(40,73),(41,45),(41,49),(41,53),(41,70),(42,46),(42,50),(42,54),(42,70),(43,47),(43,51),(43,55),(43,70),(44,48),(44,52),(44,56),(44,70),(45,66),(45,71),(46,67),(46,71),(47,68),(47,71),(48,69),(48,71),(49,66),(49,72),(50,67),(50,72),(51,68),(51,72),(52,69),(52,72),(53,66),(53,73),(54,67),(54,73),(55,68),(55,73),(56,69),(56,73),(57,63),(57,66),(57,68),(58,63),(58,67),(58,69),(59,64),(59,66),(59,69),(60,64),(60,67),(60,68),(61,65),(61,66),(61,67),(62,65),(62,68),(62,69),(63,74),(64,74),(65,74),(66,74),(67,74),(68,74),(69,74),(70,71),(70,72),(70,73),(71,74),(72,74),(73,74)],75) ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(1,13),(1,22),(1,25),(1,26),(1,52),(2,10),(2,11),(2,22),(2,23),(2,24),(2,51),(3,16),(3,17),(3,24),(3,29),(3,30),(3,52),(4,14),(4,15),(4,23),(4,27),(4,28),(4,52),(5,20),(5,21),(5,26),(5,28),(5,30),(5,51),(6,18),(6,19),(6,25),(6,27),(6,29),(6,51),(7,9),(7,11),(7,13),(7,15),(7,17),(7,19),(7,21),(8,9),(8,10),(8,12),(8,14),(8,16),(8,18),(8,20),(9,31),(9,32),(9,33),(9,34),(9,75),(10,35),(10,37),(10,59),(10,75),(11,36),(11,38),(11,60),(11,75),(12,39),(12,41),(12,61),(12,75),(13,40),(13,42),(13,62),(13,75),(14,31),(14,35),(14,43),(14,45),(14,61),(15,31),(15,36),(15,44),(15,46),(15,62),(16,32),(16,37),(16,47),(16,49),(16,61),(17,32),(17,38),(17,48),(17,50),(17,62),(18,33),(18,39),(18,43),(18,47),(18,59),(19,33),(19,40),(19,44),(19,48),(19,60),(20,34),(20,41),(20,45),(20,49),(20,59),(21,34),(21,42),(21,46),(21,50),(21,60),(22,53),(22,54),(22,75),(23,35),(23,36),(23,53),(23,55),(24,37),(24,38),(24,53),(24,56),(25,39),(25,40),(25,54),(25,57),(26,41),(26,42),(26,54),(26,58),(27,43),(27,44),(27,55),(27,57),(28,45),(28,46),(28,55),(28,58),(29,47),(29,48),(29,56),(29,57),(30,49),(30,50),(30,56),(30,58),(31,63),(31,64),(31,77),(32,65),(32,66),(32,77),(33,63),(33,65),(33,78),(34,64),(34,66),(34,78),(35,67),(35,77),(36,68),(36,77),(37,69),(37,77),(38,70),(38,77),(39,71),(39,78),(40,72),(40,78),(41,73),(41,78),(42,74),(42,78),(43,63),(43,67),(43,71),(44,63),(44,68),(44,72),(45,64),(45,67),(45,73),(46,64),(46,68),(46,74),(47,65),(47,69),(47,71),(48,65),(48,70),(48,72),(49,66),(49,69),(49,73),(50,66),(50,70),(50,74),(51,54),(51,55),(51,56),(51,59),(51,60),(52,53),(52,57),(52,58),(52,61),(52,62),(53,76),(53,77),(54,76),(54,78),(55,67),(55,68),(55,76),(56,69),(56,70),(56,76),(57,71),(57,72),(57,76),(58,73),(58,74),(58,76),(59,67),(59,69),(59,78),(60,68),(60,70),(60,78),(61,71),(61,73),(61,77),(62,72),(62,74),(62,77),(63,79),(64,79),(65,79),(66,79),(67,79),(68,79),(69,79),(70,79),(71,79),(72,79),(73,79),(74,79),(75,77),(75,78),(76,79),(77,79),(78,79)],80) ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(1,12),(1,13),(1,14),(1,60),(1,61),(2,16),(2,22),(2,26),(2,28),(2,32),(2,36),(2,61),(3,15),(3,21),(3,26),(3,27),(3,31),(3,35),(3,60),(4,17),(4,23),(4,25),(4,29),(4,33),(4,35),(4,61),(5,18),(5,24),(5,25),(5,30),(5,34),(5,36),(5,60),(6,11),(6,12),(6,21),(6,22),(6,23),(6,24),(6,62),(7,14),(7,20),(7,31),(7,32),(7,33),(7,34),(7,62),(8,13),(8,19),(8,27),(8,28),(8,29),(8,30),(8,62),(9,10),(9,11),(9,15),(9,16),(9,17),(9,18),(9,19),(9,20),(10,45),(10,58),(10,59),(10,75),(10,76),(11,45),(11,70),(11,88),(11,89),(12,45),(12,63),(12,64),(12,65),(13,58),(13,65),(13,71),(13,72),(14,59),(14,65),(14,73),(14,74),(15,37),(15,46),(15,50),(15,75),(15,88),(16,38),(16,47),(16,51),(16,76),(16,88),(17,37),(17,48),(17,52),(17,76),(17,89),(18,38),(18,49),(18,53),(18,75),(18,89),(19,46),(19,47),(19,48),(19,49),(19,58),(19,70),(20,50),(20,51),(20,52),(20,53),(20,59),(20,70),(21,43),(21,63),(21,66),(21,88),(22,44),(22,64),(22,67),(22,88),(23,43),(23,64),(23,68),(23,89),(24,44),(24,63),(24,69),(24,89),(25,40),(25,42),(25,89),(25,90),(26,39),(26,41),(26,88),(26,90),(27,39),(27,46),(27,54),(27,66),(27,71),(28,39),(28,47),(28,55),(28,67),(28,72),(29,40),(29,48),(29,54),(29,68),(29,72),(30,40),(30,49),(30,55),(30,69),(30,71),(31,41),(31,50),(31,56),(31,66),(31,73),(32,41),(32,51),(32,57),(32,67),(32,74),(33,42),(33,52),(33,56),(33,68),(33,74),(34,42),(34,53),(34,57),(34,69),(34,73),(35,37),(35,43),(35,54),(35,56),(35,90),(36,38),(36,44),(36,55),(36,57),(36,90),(37,77),(37,79),(37,97),(38,78),(38,80),(38,97),(39,93),(39,95),(40,93),(40,96),(41,94),(41,95),(42,94),(42,96),(43,81),(43,97),(44,82),(44,97),(45,87),(45,97),(46,77),(46,83),(46,95),(47,78),(47,84),(47,95),(48,77),(48,84),(48,96),(49,78),(49,83),(49,96),(50,79),(50,85),(50,95),(51,80),(51,86),(51,95),(52,79),(52,86),(52,96),(53,80),(53,85),(53,96),(54,77),(54,81),(54,93),(55,78),(55,82),(55,93),(56,79),(56,81),(56,94),(57,80),(57,82),(57,94),(58,83),(58,84),(58,87),(59,85),(59,86),(59,87),(60,63),(60,71),(60,73),(60,75),(60,90),(61,64),(61,72),(61,74),(61,76),(61,90),(62,65),(62,66),(62,67),(62,68),(62,69),(62,70),(63,91),(63,97),(64,92),(64,97),(65,87),(65,91),(65,92),(66,81),(66,91),(66,95),(67,82),(67,92),(67,95),(68,81),(68,92),(68,96),(69,82),(69,91),(69,96),(70,87),(70,95),(70,96),(71,83),(71,91),(71,93),(72,84),(72,92),(72,93),(73,85),(73,91),(73,94),(74,86),(74,92),(74,94),(75,83),(75,85),(75,97),(76,84),(76,86),(76,97),(77,98),(78,98),(79,98),(80,98),(81,98),(82,98),(83,98),(84,98),(85,98),(86,98),(87,98),(88,95),(88,97),(89,96),(89,97),(90,93),(90,94),(90,97),(91,98),(92,98),(93,98),(94,98),(95,98),(96,98),(97,98)],99) ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(1,22),(1,23),(1,24),(1,25),(1,26),(1,29),(1,30),(2,13),(2,18),(2,19),(2,20),(2,21),(2,30),(2,36),(3,12),(3,14),(3,15),(3,16),(3,17),(3,29),(3,36),(4,11),(4,12),(4,13),(4,26),(4,51),(4,52),(5,15),(5,19),(5,23),(5,28),(5,50),(5,52),(6,14),(6,18),(6,22),(6,28),(6,49),(6,51),(7,17),(7,20),(7,24),(7,27),(7,49),(7,52),(8,16),(8,21),(8,25),(8,27),(8,50),(8,51),(9,10),(9,11),(9,36),(9,49),(9,50),(10,31),(10,58),(10,59),(10,60),(11,31),(11,57),(11,74),(12,32),(12,57),(12,63),(12,64),(13,33),(13,57),(13,65),(13,66),(14,37),(14,45),(14,63),(14,72),(15,38),(15,45),(15,64),(15,73),(16,39),(16,46),(16,63),(16,73),(17,40),(17,46),(17,64),(17,72),(18,41),(18,47),(18,65),(18,72),(19,42),(19,47),(19,66),(19,73),(20,43),(20,48),(20,66),(20,72),(21,44),(21,48),(21,65),(21,73),(22,34),(22,37),(22,41),(22,58),(22,61),(23,34),(23,38),(23,42),(23,59),(23,62),(24,35),(24,40),(24,43),(24,58),(24,62),(25,35),(25,39),(25,44),(25,59),(25,61),(26,31),(26,32),(26,33),(26,61),(26,62),(27,35),(27,46),(27,48),(27,74),(28,34),(28,45),(28,47),(28,74),(29,32),(29,37),(29,38),(29,39),(29,40),(29,60),(30,33),(30,41),(30,42),(30,43),(30,44),(30,60),(31,71),(31,77),(32,67),(32,68),(32,71),(33,69),(33,70),(33,71),(34,53),(34,55),(34,77),(35,54),(35,56),(35,77),(36,57),(36,60),(36,72),(36,73),(37,53),(37,67),(37,75),(38,53),(38,68),(38,76),(39,54),(39,67),(39,76),(40,54),(40,68),(40,75),(41,55),(41,69),(41,75),(42,55),(42,70),(42,76),(43,56),(43,70),(43,75),(44,56),(44,69),(44,76),(45,53),(45,78),(46,54),(46,78),(47,55),(47,78),(48,56),(48,78),(49,58),(49,72),(49,74),(50,59),(50,73),(50,74),(51,61),(51,63),(51,65),(51,74),(52,62),(52,64),(52,66),(52,74),(53,79),(54,79),(55,79),(56,79),(57,71),(57,78),(58,75),(58,77),(59,76),(59,77),(60,71),(60,75),(60,76),(61,67),(61,69),(61,77),(62,68),(62,70),(62,77),(63,67),(63,78),(64,68),(64,78),(65,69),(65,78),(66,70),(66,78),(67,79),(68,79),(69,79),(70,79),(71,79),(72,75),(72,78),(73,76),(73,78),(74,77),(74,78),(75,79),(76,79),(77,79),(78,79)],80) 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([],7)=>([],1) ([(5,6)],7)=>([(0,1)],2) ([(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(2,6),(3,6),(4,6),(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) ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32) ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],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) ([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4) ([(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(2,3),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) ([(2,6),(3,6),(4,5),(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) ([(1,2),(3,6),(4,6),(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) ([(3,6),(4,5),(4,6),(5,6)],7)=>([(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) ([(1,6),(2,6),(3,6),(4,5),(5,6)],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),(2,6),(3,6),(4,6),(5,6)],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) ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(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) ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],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) ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(3,5),(3,6),(4,5),(4,6)],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),(6,11),(7,11),(8,11),(9,11),(10,11)],12) ([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24) ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32) ([(0,6),(1,6),(2,6),(3,5),(4,5)],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) ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(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) ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(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) ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32) ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],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) ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64) ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96) ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,18),(1,21),(1,24),(1,27),(1,29),(1,30),(2,10),(2,17),(2,20),(2,23),(2,26),(2,28),(2,30),(3,9),(3,16),(3,19),(3,22),(3,25),(3,28),(3,29),(4,14),(4,15),(4,19),(4,20),(4,21),(4,60),(5,12),(5,13),(5,16),(5,17),(5,18),(5,60),(6,13),(6,15),(6,25),(6,26),(6,27),(6,59),(7,12),(7,14),(7,22),(7,23),(7,24),(7,59),(8,9),(8,10),(8,11),(8,59),(8,60),(9,31),(9,32),(9,78),(9,81),(10,31),(10,33),(10,79),(10,82),(11,32),(11,33),(11,80),(11,83),(12,35),(12,36),(12,37),(12,94),(13,38),(13,39),(13,40),(13,94),(14,41),(14,42),(14,43),(14,94),(15,44),(15,45),(15,46),(15,94),(16,35),(16,38),(16,47),(16,48),(16,78),(17,36),(17,39),(17,47),(17,49),(17,79),(18,37),(18,40),(18,48),(18,49),(18,80),(19,41),(19,44),(19,50),(19,51),(19,78),(20,42),(20,45),(20,50),(20,52),(20,79),(21,43),(21,46),(21,51),(21,52),(21,80),(22,35),(22,41),(22,53),(22,54),(22,81),(23,36),(23,42),(23,53),(23,55),(23,82),(24,37),(24,43),(24,54),(24,55),(24,83),(25,38),(25,44),(25,56),(25,57),(25,81),(26,39),(26,45),(26,56),(26,58),(26,82),(27,40),(27,46),(27,57),(27,58),(27,83),(28,31),(28,34),(28,47),(28,50),(28,53),(28,56),(29,32),(29,34),(29,48),(29,51),(29,54),(29,57),(30,33),(30,34),(30,49),(30,52),(30,55),(30,58),(31,77),(31,86),(31,89),(32,77),(32,84),(32,87),(33,77),(33,85),(33,88),(34,73),(34,74),(34,75),(34,76),(34,77),(35,61),(35,62),(35,97),(36,61),(36,63),(36,98),(37,62),(37,63),(37,99),(38,64),(38,65),(38,97),(39,64),(39,66),(39,98),(40,65),(40,66),(40,99),(41,67),(41,68),(41,97),(42,67),(42,69),(42,98),(43,68),(43,69),(43,99),(44,70),(44,71),(44,97),(45,70),(45,72),(45,98),(46,71),(46,72),(46,99),(47,61),(47,64),(47,73),(47,86),(48,62),(48,65),(48,73),(48,84),(49,63),(49,66),(49,73),(49,85),(50,67),(50,70),(50,74),(50,86),(51,68),(51,71),(51,74),(51,84),(52,69),(52,72),(52,74),(52,85),(53,61),(53,67),(53,75),(53,89),(54,62),(54,68),(54,75),(54,87),(55,63),(55,69),(55,75),(55,88),(56,64),(56,70),(56,76),(56,89),(57,65),(57,71),(57,76),(57,87),(58,66),(58,72),(58,76),(58,88),(59,81),(59,82),(59,83),(59,94),(60,78),(60,79),(60,80),(60,94),(61,90),(61,102),(62,90),(62,100),(63,90),(63,101),(64,91),(64,102),(65,91),(65,100),(66,91),(66,101),(67,92),(67,102),(68,92),(68,100),(69,92),(69,101),(70,93),(70,102),(71,93),(71,100),(72,93),(72,101),(73,90),(73,91),(73,95),(74,92),(74,93),(74,95),(75,90),(75,92),(75,96),(76,91),(76,93),(76,96),(77,95),(77,96),(78,84),(78,86),(78,97),(79,85),(79,86),(79,98),(80,84),(80,85),(80,99),(81,87),(81,89),(81,97),(82,88),(82,89),(82,98),(83,87),(83,88),(83,99),(84,95),(84,100),(85,95),(85,101),(86,95),(86,102),(87,96),(87,100),(88,96),(88,101),(89,96),(89,102),(90,103),(91,103),(92,103),(93,103),(94,97),(94,98),(94,99),(95,103),(96,103),(97,100),(97,102),(98,101),(98,102),(99,100),(99,101),(100,103),(101,103),(102,103)],104) ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34) ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],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) ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(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),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68) ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96) ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,28),(1,29),(1,30),(2,9),(2,13),(2,18),(2,19),(2,30),(3,8),(3,12),(3,16),(3,17),(3,30),(4,11),(4,15),(4,17),(4,19),(4,29),(5,10),(5,14),(5,16),(5,18),(5,29),(6,12),(6,13),(6,14),(6,15),(6,28),(7,8),(7,9),(7,10),(7,11),(7,28),(8,20),(8,21),(8,32),(9,22),(9,23),(9,32),(10,20),(10,22),(10,33),(11,21),(11,23),(11,33),(12,24),(12,25),(12,32),(13,26),(13,27),(13,32),(14,24),(14,26),(14,33),(15,25),(15,27),(15,33),(16,20),(16,24),(16,31),(17,21),(17,25),(17,31),(18,22),(18,26),(18,31),(19,23),(19,27),(19,31),(20,34),(21,34),(22,34),(23,34),(24,34),(25,34),(26,34),(27,34),(28,32),(28,33),(29,31),(29,33),(30,31),(30,32),(31,34),(32,34),(33,34)],35) ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,13),(1,17),(1,22),(1,23),(1,25),(1,31),(2,11),(2,12),(2,16),(2,20),(2,21),(2,24),(2,30),(3,10),(3,15),(3,19),(3,21),(3,23),(3,27),(3,33),(4,10),(4,14),(4,18),(4,20),(4,22),(4,26),(4,32),(5,9),(5,16),(5,17),(5,18),(5,19),(5,29),(5,35),(6,9),(6,12),(6,13),(6,14),(6,15),(6,28),(6,34),(7,30),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(8,24),(8,25),(8,26),(8,27),(8,28),(8,29),(8,36),(9,47),(9,50),(9,121),(9,122),(10,46),(10,49),(10,120),(10,122),(11,45),(11,48),(11,120),(11,121),(12,37),(12,38),(12,51),(12,63),(12,121),(13,39),(13,40),(13,52),(13,64),(13,121),(14,37),(14,39),(14,53),(14,65),(14,122),(15,38),(15,40),(15,54),(15,66),(15,122),(16,41),(16,42),(16,55),(16,67),(16,121),(17,43),(17,44),(17,56),(17,68),(17,121),(18,41),(18,43),(18,57),(18,69),(18,122),(19,42),(19,44),(19,58),(19,70),(19,122),(20,37),(20,41),(20,59),(20,71),(20,120),(21,38),(21,42),(21,60),(21,72),(21,120),(22,39),(22,43),(22,61),(22,73),(22,120),(23,40),(23,44),(23,62),(23,74),(23,120),(24,45),(24,51),(24,55),(24,59),(24,60),(24,75),(25,45),(25,52),(25,56),(25,61),(25,62),(25,76),(26,46),(26,53),(26,57),(26,59),(26,61),(26,77),(27,46),(27,54),(27,58),(27,60),(27,62),(27,78),(28,47),(28,51),(28,52),(28,53),(28,54),(28,79),(29,47),(29,55),(29,56),(29,57),(29,58),(29,80),(30,48),(30,63),(30,67),(30,71),(30,72),(30,75),(31,48),(31,64),(31,68),(31,73),(31,74),(31,76),(32,49),(32,65),(32,69),(32,71),(32,73),(32,77),(33,49),(33,66),(33,70),(33,72),(33,74),(33,78),(34,50),(34,63),(34,64),(34,65),(34,66),(34,79),(35,50),(35,67),(35,68),(35,69),(35,70),(35,80),(36,75),(36,76),(36,77),(36,78),(36,79),(36,80),(37,84),(37,92),(37,132),(38,85),(38,93),(38,132),(39,86),(39,94),(39,132),(40,87),(40,95),(40,132),(41,88),(41,96),(41,132),(42,89),(42,97),(42,132),(43,90),(43,98),(43,132),(44,91),(44,99),(44,132),(45,81),(45,123),(45,124),(46,82),(46,123),(46,125),(47,83),(47,124),(47,125),(48,81),(48,126),(48,127),(49,82),(49,126),(49,128),(50,83),(50,127),(50,128),(51,84),(51,85),(51,100),(51,124),(52,86),(52,87),(52,101),(52,124),(53,84),(53,86),(53,102),(53,125),(54,85),(54,87),(54,103),(54,125),(55,88),(55,89),(55,104),(55,124),(56,90),(56,91),(56,105),(56,124),(57,88),(57,90),(57,106),(57,125),(58,89),(58,91),(58,107),(58,125),(59,84),(59,88),(59,108),(59,123),(60,85),(60,89),(60,109),(60,123),(61,86),(61,90),(61,110),(61,123),(62,87),(62,91),(62,111),(62,123),(63,92),(63,93),(63,100),(63,127),(64,94),(64,95),(64,101),(64,127),(65,92),(65,94),(65,102),(65,128),(66,93),(66,95),(66,103),(66,128),(67,96),(67,97),(67,104),(67,127),(68,98),(68,99),(68,105),(68,127),(69,96),(69,98),(69,106),(69,128),(70,97),(70,99),(70,107),(70,128),(71,92),(71,96),(71,108),(71,126),(72,93),(72,97),(72,109),(72,126),(73,94),(73,98),(73,110),(73,126),(74,95),(74,99),(74,111),(74,126),(75,81),(75,100),(75,104),(75,108),(75,109),(76,81),(76,101),(76,105),(76,110),(76,111),(77,82),(77,102),(77,106),(77,108),(77,110),(78,82),(78,103),(78,107),(78,109),(78,111),(79,83),(79,100),(79,101),(79,102),(79,103),(80,83),(80,104),(80,105),(80,106),(80,107),(81,129),(81,130),(82,129),(82,131),(83,130),(83,131),(84,112),(84,133),(85,113),(85,133),(86,114),(86,133),(87,115),(87,133),(88,116),(88,133),(89,117),(89,133),(90,118),(90,133),(91,119),(91,133),(92,112),(92,134),(93,113),(93,134),(94,114),(94,134),(95,115),(95,134),(96,116),(96,134),(97,117),(97,134),(98,118),(98,134),(99,119),(99,134),(100,112),(100,113),(100,130),(101,114),(101,115),(101,130),(102,112),(102,114),(102,131),(103,113),(103,115),(103,131),(104,116),(104,117),(104,130),(105,118),(105,119),(105,130),(106,116),(106,118),(106,131),(107,117),(107,119),(107,131),(108,112),(108,116),(108,129),(109,113),(109,117),(109,129),(110,114),(110,118),(110,129),(111,115),(111,119),(111,129),(112,135),(113,135),(114,135),(115,135),(116,135),(117,135),(118,135),(119,135),(120,123),(120,126),(120,132),(121,124),(121,127),(121,132),(122,125),(122,128),(122,132),(123,129),(123,133),(124,130),(124,133),(125,131),(125,133),(126,129),(126,134),(127,130),(127,134),(128,131),(128,134),(129,135),(130,135),(131,135),(132,133),(132,134),(133,135),(134,135)],136) ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,22),(1,23),(1,24),(1,25),(1,26),(1,27),(2,11),(2,15),(2,20),(2,21),(2,23),(2,50),(3,10),(3,14),(3,18),(3,19),(3,22),(3,50),(4,13),(4,17),(4,19),(4,21),(4,25),(4,49),(5,12),(5,16),(5,18),(5,20),(5,24),(5,49),(6,14),(6,15),(6,16),(6,17),(6,27),(6,48),(7,10),(7,11),(7,12),(7,13),(7,26),(7,48),(8,9),(8,48),(8,49),(8,50),(9,59),(9,60),(9,61),(10,28),(10,40),(10,41),(10,63),(11,29),(11,42),(11,43),(11,63),(12,30),(12,40),(12,42),(12,64),(13,31),(13,41),(13,43),(13,64),(14,32),(14,44),(14,45),(14,63),(15,33),(15,46),(15,47),(15,63),(16,34),(16,44),(16,46),(16,64),(17,35),(17,45),(17,47),(17,64),(18,36),(18,40),(18,44),(18,62),(19,37),(19,41),(19,45),(19,62),(20,38),(20,42),(20,46),(20,62),(21,39),(21,43),(21,47),(21,62),(22,28),(22,32),(22,36),(22,37),(22,59),(23,29),(23,33),(23,38),(23,39),(23,59),(24,30),(24,34),(24,36),(24,38),(24,60),(25,31),(25,35),(25,37),(25,39),(25,60),(26,28),(26,29),(26,30),(26,31),(26,61),(27,32),(27,33),(27,34),(27,35),(27,61),(28,51),(28,52),(28,66),(29,53),(29,54),(29,66),(30,51),(30,53),(30,67),(31,52),(31,54),(31,67),(32,55),(32,56),(32,66),(33,57),(33,58),(33,66),(34,55),(34,57),(34,67),(35,56),(35,58),(35,67),(36,51),(36,55),(36,65),(37,52),(37,56),(37,65),(38,53),(38,57),(38,65),(39,54),(39,58),(39,65),(40,51),(40,68),(41,52),(41,68),(42,53),(42,68),(43,54),(43,68),(44,55),(44,68),(45,56),(45,68),(46,57),(46,68),(47,58),(47,68),(48,61),(48,63),(48,64),(49,60),(49,62),(49,64),(50,59),(50,62),(50,63),(51,69),(52,69),(53,69),(54,69),(55,69),(56,69),(57,69),(58,69),(59,65),(59,66),(60,65),(60,67),(61,66),(61,67),(62,65),(62,68),(63,66),(63,68),(64,67),(64,68),(65,69),(66,69),(67,69),(68,69)],70) 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([(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(2,6),(3,5),(4,5),(4,6)],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) ([(1,2),(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) ([(0,3),(1,2),(4,6),(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) ([(2,3),(4,5),(4,6),(5,6)],7)=>([(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) ([(1,6),(2,5),(3,4),(4,6),(5,6)],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),(2,6),(3,6),(4,5),(5,6)],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) ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(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) ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>([(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) ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],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) ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25) ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,24),(1,25),(1,26),(1,27),(1,28),(1,29),(1,30),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(2,30),(3,15),(3,16),(3,17),(3,20),(3,26),(3,56),(4,12),(4,13),(4,14),(4,19),(4,25),(4,56),(5,9),(5,10),(5,11),(5,18),(5,24),(5,56),(6,11),(6,14),(6,17),(6,23),(6,29),(6,55),(7,10),(7,13),(7,16),(7,22),(7,28),(7,55),(8,9),(8,12),(8,15),(8,21),(8,27),(8,55),(9,31),(9,40),(9,66),(9,69),(10,32),(10,41),(10,67),(10,69),(11,33),(11,42),(11,68),(11,69),(12,34),(12,43),(12,66),(12,70),(13,35),(13,44),(13,67),(13,70),(14,36),(14,45),(14,68),(14,70),(15,37),(15,46),(15,66),(15,71),(16,38),(16,47),(16,67),(16,71),(17,39),(17,48),(17,68),(17,71),(18,31),(18,32),(18,33),(18,49),(18,72),(19,34),(19,35),(19,36),(19,50),(19,72),(20,37),(20,38),(20,39),(20,51),(20,72),(21,31),(21,34),(21,37),(21,52),(21,73),(22,32),(22,35),(22,38),(22,53),(22,73),(23,33),(23,36),(23,39),(23,54),(23,73),(24,40),(24,41),(24,42),(24,49),(24,74),(25,43),(25,44),(25,45),(25,50),(25,74),(26,46),(26,47),(26,48),(26,51),(26,74),(27,40),(27,43),(27,46),(27,52),(27,75),(28,41),(28,44),(28,47),(28,53),(28,75),(29,42),(29,45),(29,48),(29,54),(29,75),(30,49),(30,50),(30,51),(30,52),(30,53),(30,54),(31,57),(31,78),(31,81),(32,58),(32,79),(32,81),(33,59),(33,80),(33,81),(34,60),(34,78),(34,82),(35,61),(35,79),(35,82),(36,62),(36,80),(36,82),(37,63),(37,78),(37,83),(38,64),(38,79),(38,83),(39,65),(39,80),(39,83),(40,57),(40,84),(40,87),(41,58),(41,85),(41,87),(42,59),(42,86),(42,87),(43,60),(43,84),(43,88),(44,61),(44,85),(44,88),(45,62),(45,86),(45,88),(46,63),(46,84),(46,89),(47,64),(47,85),(47,89),(48,65),(48,86),(48,89),(49,57),(49,58),(49,59),(49,76),(50,60),(50,61),(50,62),(50,76),(51,63),(51,64),(51,65),(51,76),(52,57),(52,60),(52,63),(52,77),(53,58),(53,61),(53,64),(53,77),(54,59),(54,62),(54,65),(54,77),(55,69),(55,70),(55,71),(55,73),(55,75),(56,66),(56,67),(56,68),(56,72),(56,74),(57,90),(57,93),(58,91),(58,93),(59,92),(59,93),(60,90),(60,94),(61,91),(61,94),(62,92),(62,94),(63,90),(63,95),(64,91),(64,95),(65,92),(65,95),(66,78),(66,84),(66,96),(67,79),(67,85),(67,96),(68,80),(68,86),(68,96),(69,81),(69,87),(69,96),(70,82),(70,88),(70,96),(71,83),(71,89),(71,96),(72,76),(72,78),(72,79),(72,80),(73,77),(73,81),(73,82),(73,83),(74,76),(74,84),(74,85),(74,86),(75,77),(75,87),(75,88),(75,89),(76,90),(76,91),(76,92),(77,93),(77,94),(77,95),(78,90),(78,97),(79,91),(79,97),(80,92),(80,97),(81,93),(81,97),(82,94),(82,97),(83,95),(83,97),(84,90),(84,98),(85,91),(85,98),(86,92),(86,98),(87,93),(87,98),(88,94),(88,98),(89,95),(89,98),(90,99),(91,99),(92,99),(93,99),(94,99),(95,99),(96,97),(96,98),(97,99),(98,99)],100) ([(2,5),(2,6),(3,4),(3,6),(4,5)],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),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27) ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],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) ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,25),(2,13),(2,14),(2,15),(2,25),(3,10),(3,11),(3,12),(3,25),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,21),(7,24),(7,29),(8,19),(8,22),(8,29),(9,20),(9,23),(9,29),(10,26),(10,29),(11,27),(11,29),(12,28),(12,29),(13,19),(13,21),(13,26),(14,20),(14,21),(14,27),(15,19),(15,20),(15,28),(16,22),(16,24),(16,26),(17,23),(17,24),(17,27),(18,22),(18,23),(18,28),(19,30),(20,30),(21,30),(22,30),(23,30),(24,30),(25,26),(25,27),(25,28),(26,30),(27,30),(28,30),(29,30)],31) ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(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),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54) ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96) ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62) ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108) 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([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,18),(1,21),(1,24),(1,27),(1,29),(1,30),(2,10),(2,17),(2,20),(2,23),(2,26),(2,28),(2,30),(3,9),(3,16),(3,19),(3,22),(3,25),(3,28),(3,29),(4,14),(4,15),(4,19),(4,20),(4,21),(4,60),(5,12),(5,13),(5,16),(5,17),(5,18),(5,60),(6,13),(6,15),(6,25),(6,26),(6,27),(6,59),(7,12),(7,14),(7,22),(7,23),(7,24),(7,59),(8,9),(8,10),(8,11),(8,59),(8,60),(9,31),(9,32),(9,78),(9,81),(10,31),(10,33),(10,79),(10,82),(11,32),(11,33),(11,80),(11,83),(12,35),(12,36),(12,37),(12,94),(13,38),(13,39),(13,40),(13,94),(14,41),(14,42),(14,43),(14,94),(15,44),(15,45),(15,46),(15,94),(16,35),(16,38),(16,47),(16,48),(16,78),(17,36),(17,39),(17,47),(17,49),(17,79),(18,37),(18,40),(18,48),(18,49),(18,80),(19,41),(19,44),(19,50),(19,51),(19,78),(20,42),(20,45),(20,50),(20,52),(20,79),(21,43),(21,46),(21,51),(21,52),(21,80),(22,35),(22,41),(22,53),(22,54),(22,81),(23,36),(23,42),(23,53),(23,55),(23,82),(24,37),(24,43),(24,54),(24,55),(24,83),(25,38),(25,44),(25,56),(25,57),(25,81),(26,39),(26,45),(26,56),(26,58),(26,82),(27,40),(27,46),(27,57),(27,58),(27,83),(28,31),(28,34),(28,47),(28,50),(28,53),(28,56),(29,32),(29,34),(29,48),(29,51),(29,54),(29,57),(30,33),(30,34),(30,49),(30,52),(30,55),(30,58),(31,77),(31,86),(31,89),(32,77),(32,84),(32,87),(33,77),(33,85),(33,88),(34,73),(34,74),(34,75),(34,76),(34,77),(35,61),(35,62),(35,97),(36,61),(36,63),(36,98),(37,62),(37,63),(37,99),(38,64),(38,65),(38,97),(39,64),(39,66),(39,98),(40,65),(40,66),(40,99),(41,67),(41,68),(41,97),(42,67),(42,69),(42,98),(43,68),(43,69),(43,99),(44,70),(44,71),(44,97),(45,70),(45,72),(45,98),(46,71),(46,72),(46,99),(47,61),(47,64),(47,73),(47,86),(48,62),(48,65),(48,73),(48,84),(49,63),(49,66),(49,73),(49,85),(50,67),(50,70),(50,74),(50,86),(51,68),(51,71),(51,74),(51,84),(52,69),(52,72),(52,74),(52,85),(53,61),(53,67),(53,75),(53,89),(54,62),(54,68),(54,75),(54,87),(55,63),(55,69),(55,75),(55,88),(56,64),(56,70),(56,76),(56,89),(57,65),(57,71),(57,76),(57,87),(58,66),(58,72),(58,76),(58,88),(59,81),(59,82),(59,83),(59,94),(60,78),(60,79),(60,80),(60,94),(61,90),(61,102),(62,90),(62,100),(63,90),(63,101),(64,91),(64,102),(65,91),(65,100),(66,91),(66,101),(67,92),(67,102),(68,92),(68,100),(69,92),(69,101),(70,93),(70,102),(71,93),(71,100),(72,93),(72,101),(73,90),(73,91),(73,95),(74,92),(74,93),(74,95),(75,90),(75,92),(75,96),(76,91),(76,93),(76,96),(77,95),(77,96),(78,84),(78,86),(78,97),(79,85),(79,86),(79,98),(80,84),(80,85),(80,99),(81,87),(81,89),(81,97),(82,88),(82,89),(82,98),(83,87),(83,88),(83,99),(84,95),(84,100),(85,95),(85,101),(86,95),(86,102),(87,96),(87,100),(88,96),(88,101),(89,96),(89,102),(90,103),(91,103),(92,103),(93,103),(94,97),(94,98),(94,99),(95,103),(96,103),(97,100),(97,102),(98,101),(98,102),(99,100),(99,101),(100,103),(101,103),(102,103)],104) ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,13),(1,14),(1,44),(1,46),(2,9),(2,11),(2,12),(2,44),(2,45),(3,15),(3,24),(3,25),(3,26),(3,27),(3,44),(4,12),(4,17),(4,22),(4,23),(4,25),(4,46),(5,11),(5,16),(5,20),(5,21),(5,24),(5,46),(6,14),(6,19),(6,21),(6,23),(6,27),(6,45),(7,13),(7,18),(7,20),(7,22),(7,26),(7,45),(8,9),(8,10),(8,15),(8,16),(8,17),(8,18),(8,19),(9,36),(9,37),(9,47),(9,52),(10,38),(10,39),(10,47),(10,53),(11,36),(11,48),(11,62),(12,37),(12,49),(12,62),(13,38),(13,50),(13,63),(14,39),(14,51),(14,63),(15,32),(15,33),(15,34),(15,35),(15,47),(16,32),(16,36),(16,40),(16,41),(16,53),(17,33),(17,37),(17,42),(17,43),(17,53),(18,34),(18,38),(18,40),(18,42),(18,52),(19,35),(19,39),(19,41),(19,43),(19,52),(20,28),(20,40),(20,48),(20,50),(21,29),(21,41),(21,48),(21,51),(22,30),(22,42),(22,49),(22,50),(23,31),(23,43),(23,49),(23,51),(24,28),(24,29),(24,32),(24,62),(25,30),(25,31),(25,33),(25,62),(26,28),(26,30),(26,34),(26,63),(27,29),(27,31),(27,35),(27,63),(28,54),(28,66),(29,55),(29,66),(30,56),(30,66),(31,57),(31,66),(32,54),(32,55),(32,64),(33,56),(33,57),(33,64),(34,54),(34,56),(34,65),(35,55),(35,57),(35,65),(36,58),(36,64),(37,59),(37,64),(38,60),(38,65),(39,61),(39,65),(40,54),(40,58),(40,60),(41,55),(41,58),(41,61),(42,56),(42,59),(42,60),(43,57),(43,59),(43,61),(44,47),(44,62),(44,63),(45,48),(45,49),(45,52),(45,63),(46,50),(46,51),(46,53),(46,62),(47,64),(47,65),(48,58),(48,66),(49,59),(49,66),(50,60),(50,66),(51,61),(51,66),(52,58),(52,59),(52,65),(53,60),(53,61),(53,64),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,67),(61,67),(62,64),(62,66),(63,65),(63,66),(64,67),(65,67),(66,67)],68) ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(1,17),(1,27),(1,32),(1,33),(1,34),(1,35),(1,36),(2,14),(2,15),(2,26),(2,28),(2,29),(2,30),(2,31),(2,36),(3,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,72),(4,11),(4,20),(4,21),(4,23),(4,29),(4,33),(4,74),(5,10),(5,18),(5,19),(5,22),(5,28),(5,32),(5,74),(6,13),(6,19),(6,21),(6,25),(6,31),(6,35),(6,73),(7,12),(7,18),(7,20),(7,24),(7,30),(7,34),(7,73),(8,12),(8,13),(8,15),(8,17),(8,72),(8,74),(9,10),(9,11),(9,14),(9,16),(9,72),(9,73),(10,43),(10,47),(10,95),(10,120),(11,44),(11,48),(11,96),(11,120),(12,45),(12,49),(12,97),(12,121),(13,46),(13,50),(13,98),(13,121),(14,37),(14,43),(14,44),(14,99),(14,101),(15,38),(15,45),(15,46),(15,99),(15,102),(16,37),(16,47),(16,48),(16,100),(16,103),(17,38),(17,49),(17,50),(17,100),(17,104),(18,39),(18,51),(18,55),(18,95),(18,97),(19,40),(19,52),(19,56),(19,95),(19,98),(20,41),(20,53),(20,57),(20,96),(20,97),(21,42),(21,54),(21,58),(21,96),(21,98),(22,39),(22,40),(22,59),(22,63),(22,120),(23,41),(23,42),(23,60),(23,64),(23,120),(24,39),(24,41),(24,61),(24,65),(24,121),(25,40),(25,42),(25,62),(25,66),(25,121),(26,59),(26,60),(26,61),(26,62),(26,67),(26,99),(27,63),(27,64),(27,65),(27,66),(27,67),(27,100),(28,43),(28,51),(28,52),(28,59),(28,68),(28,102),(29,44),(29,53),(29,54),(29,60),(29,69),(29,102),(30,45),(30,51),(30,53),(30,61),(30,70),(30,101),(31,46),(31,52),(31,54),(31,62),(31,71),(31,101),(32,47),(32,55),(32,56),(32,63),(32,68),(32,104),(33,48),(33,57),(33,58),(33,64),(33,69),(33,104),(34,49),(34,55),(34,57),(34,65),(34,70),(34,103),(35,50),(35,56),(35,58),(35,66),(35,71),(35,103),(36,37),(36,38),(36,67),(36,68),(36,69),(36,70),(36,71),(37,87),(37,88),(37,105),(37,106),(38,89),(38,90),(38,105),(38,107),(39,75),(39,79),(39,132),(40,76),(40,80),(40,132),(41,77),(41,81),(41,132),(42,78),(42,82),(42,132),(43,87),(43,108),(43,126),(44,88),(44,109),(44,126),(45,89),(45,110),(45,127),(46,90),(46,111),(46,127),(47,87),(47,112),(47,128),(48,88),(48,113),(48,128),(49,89),(49,114),(49,129),(50,90),(50,115),(50,129),(51,75),(51,91),(51,108),(51,110),(52,76),(52,92),(52,108),(52,111),(53,77),(53,93),(53,109),(53,110),(54,78),(54,94),(54,109),(54,111),(55,79),(55,91),(55,112),(55,114),(56,80),(56,92),(56,112),(56,115),(57,81),(57,93),(57,113),(57,114),(58,82),(58,94),(58,113),(58,115),(59,75),(59,76),(59,83),(59,126),(60,77),(60,78),(60,84),(60,126),(61,75),(61,77),(61,85),(61,127),(62,76),(62,78),(62,86),(62,127),(63,79),(63,80),(63,83),(63,128),(64,81),(64,82),(64,84),(64,128),(65,79),(65,81),(65,85),(65,129),(66,80),(66,82),(66,86),(66,129),(67,83),(67,84),(67,85),(67,86),(67,105),(68,83),(68,87),(68,91),(68,92),(68,107),(69,84),(69,88),(69,93),(69,94),(69,107),(70,85),(70,89),(70,91),(70,93),(70,106),(71,86),(71,90),(71,92),(71,94),(71,106),(72,99),(72,100),(72,120),(72,121),(73,95),(73,96),(73,101),(73,103),(73,121),(74,97),(74,98),(74,102),(74,104),(74,120),(75,116),(75,133),(76,117),(76,133),(77,118),(77,133),(78,119),(78,133),(79,116),(79,134),(80,117),(80,134),(81,118),(81,134),(82,119),(82,134),(83,116),(83,117),(83,130),(84,118),(84,119),(84,130),(85,116),(85,118),(85,131),(86,117),(86,119),(86,131),(87,122),(87,130),(88,123),(88,130),(89,124),(89,131),(90,125),(90,131),(91,116),(91,122),(91,124),(92,117),(92,122),(92,125),(93,118),(93,123),(93,124),(94,119),(94,123),(94,125),(95,108),(95,112),(95,132),(96,109),(96,113),(96,132),(97,110),(97,114),(97,132),(98,111),(98,115),(98,132),(99,105),(99,126),(99,127),(100,105),(100,128),(100,129),(101,106),(101,108),(101,109),(101,127),(102,107),(102,110),(102,111),(102,126),(103,106),(103,112),(103,113),(103,129),(104,107),(104,114),(104,115),(104,128),(105,130),(105,131),(106,122),(106,123),(106,131),(107,124),(107,125),(107,130),(108,122),(108,133),(109,123),(109,133),(110,124),(110,133),(111,125),(111,133),(112,122),(112,134),(113,123),(113,134),(114,124),(114,134),(115,125),(115,134),(116,135),(117,135),(118,135),(119,135),(120,126),(120,128),(120,132),(121,127),(121,129),(121,132),(122,135),(123,135),(124,135),(125,135),(126,130),(126,133),(127,131),(127,133),(128,130),(128,134),(129,131),(129,134),(130,135),(131,135),(132,133),(132,134),(133,135),(134,135)],136) ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32) ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24) ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32) ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(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) ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],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) ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48) ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26) ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],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) ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96) ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60) ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(1,16),(1,20),(1,27),(1,28),(1,29),(1,33),(2,11),(2,15),(2,19),(2,25),(2,26),(2,29),(2,32),(3,10),(3,14),(3,18),(3,24),(3,26),(3,28),(3,31),(4,9),(4,13),(4,17),(4,24),(4,25),(4,27),(4,30),(5,21),(5,22),(5,23),(5,30),(5,31),(5,32),(5,33),(6,17),(6,18),(6,19),(6,20),(6,23),(6,34),(7,13),(7,14),(7,15),(7,16),(7,22),(7,34),(8,9),(8,10),(8,11),(8,12),(8,21),(8,34),(9,41),(9,42),(9,44),(9,59),(9,89),(10,41),(10,43),(10,45),(10,60),(10,90),(11,42),(11,43),(11,46),(11,61),(11,91),(12,44),(12,45),(12,46),(12,62),(12,92),(13,47),(13,48),(13,50),(13,63),(13,89),(14,47),(14,49),(14,51),(14,64),(14,90),(15,48),(15,49),(15,52),(15,65),(15,91),(16,50),(16,51),(16,52),(16,66),(16,92),(17,53),(17,54),(17,56),(17,67),(17,89),(18,53),(18,55),(18,57),(18,68),(18,90),(19,54),(19,55),(19,58),(19,69),(19,91),(20,56),(20,57),(20,58),(20,70),(20,92),(21,59),(21,60),(21,61),(21,62),(21,93),(22,63),(22,64),(22,65),(22,66),(22,93),(23,67),(23,68),(23,69),(23,70),(23,93),(24,37),(24,41),(24,47),(24,53),(24,104),(25,35),(25,42),(25,48),(25,54),(25,104),(26,36),(26,43),(26,49),(26,55),(26,104),(27,38),(27,44),(27,50),(27,56),(27,104),(28,39),(28,45),(28,51),(28,57),(28,104),(29,40),(29,46),(29,52),(29,58),(29,104),(30,35),(30,37),(30,38),(30,59),(30,63),(30,67),(31,36),(31,37),(31,39),(31,60),(31,64),(31,68),(32,35),(32,36),(32,40),(32,61),(32,65),(32,69),(33,38),(33,39),(33,40),(33,62),(33,66),(33,70),(34,89),(34,90),(34,91),(34,92),(34,93),(35,71),(35,77),(35,83),(35,114),(36,72),(36,78),(36,84),(36,114),(37,73),(37,79),(37,85),(37,114),(38,74),(38,80),(38,86),(38,114),(39,75),(39,81),(39,87),(39,114),(40,76),(40,82),(40,88),(40,114),(41,73),(41,96),(41,111),(42,71),(42,94),(42,111),(43,72),(43,95),(43,111),(44,74),(44,97),(44,111),(45,75),(45,98),(45,111),(46,76),(46,99),(46,111),(47,79),(47,96),(47,112),(48,77),(48,94),(48,112),(49,78),(49,95),(49,112),(50,80),(50,97),(50,112),(51,81),(51,98),(51,112),(52,82),(52,99),(52,112),(53,85),(53,96),(53,113),(54,83),(54,94),(54,113),(55,84),(55,95),(55,113),(56,86),(56,97),(56,113),(57,87),(57,98),(57,113),(58,88),(58,99),(58,113),(59,71),(59,73),(59,74),(59,100),(60,72),(60,73),(60,75),(60,101),(61,71),(61,72),(61,76),(61,102),(62,74),(62,75),(62,76),(62,103),(63,77),(63,79),(63,80),(63,100),(64,78),(64,79),(64,81),(64,101),(65,77),(65,78),(65,82),(65,102),(66,80),(66,81),(66,82),(66,103),(67,83),(67,85),(67,86),(67,100),(68,84),(68,85),(68,87),(68,101),(69,83),(69,84),(69,88),(69,102),(70,86),(70,87),(70,88),(70,103),(71,105),(71,115),(72,106),(72,115),(73,107),(73,115),(74,108),(74,115),(75,109),(75,115),(76,110),(76,115),(77,105),(77,116),(78,106),(78,116),(79,107),(79,116),(80,108),(80,116),(81,109),(81,116),(82,110),(82,116),(83,105),(83,117),(84,106),(84,117),(85,107),(85,117),(86,108),(86,117),(87,109),(87,117),(88,110),(88,117),(89,94),(89,96),(89,97),(89,100),(90,95),(90,96),(90,98),(90,101),(91,94),(91,95),(91,99),(91,102),(92,97),(92,98),(92,99),(92,103),(93,100),(93,101),(93,102),(93,103),(94,105),(94,118),(95,106),(95,118),(96,107),(96,118),(97,108),(97,118),(98,109),(98,118),(99,110),(99,118),(100,105),(100,107),(100,108),(101,106),(101,107),(101,109),(102,105),(102,106),(102,110),(103,108),(103,109),(103,110),(104,111),(104,112),(104,113),(104,114),(105,119),(106,119),(107,119),(108,119),(109,119),(110,119),(111,115),(111,118),(112,116),(112,118),(113,117),(113,118),(114,115),(114,116),(114,117),(115,119),(116,119),(117,119),(118,119)],120) ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,18),(1,21),(1,24),(1,27),(1,29),(1,30),(2,10),(2,17),(2,20),(2,23),(2,26),(2,28),(2,30),(3,9),(3,16),(3,19),(3,22),(3,25),(3,28),(3,29),(4,14),(4,15),(4,19),(4,20),(4,21),(4,60),(5,12),(5,13),(5,16),(5,17),(5,18),(5,60),(6,13),(6,15),(6,25),(6,26),(6,27),(6,59),(7,12),(7,14),(7,22),(7,23),(7,24),(7,59),(8,9),(8,10),(8,11),(8,59),(8,60),(9,31),(9,32),(9,78),(9,81),(10,31),(10,33),(10,79),(10,82),(11,32),(11,33),(11,80),(11,83),(12,35),(12,36),(12,37),(12,94),(13,38),(13,39),(13,40),(13,94),(14,41),(14,42),(14,43),(14,94),(15,44),(15,45),(15,46),(15,94),(16,35),(16,38),(16,47),(16,48),(16,78),(17,36),(17,39),(17,47),(17,49),(17,79),(18,37),(18,40),(18,48),(18,49),(18,80),(19,41),(19,44),(19,50),(19,51),(19,78),(20,42),(20,45),(20,50),(20,52),(20,79),(21,43),(21,46),(21,51),(21,52),(21,80),(22,35),(22,41),(22,53),(22,54),(22,81),(23,36),(23,42),(23,53),(23,55),(23,82),(24,37),(24,43),(24,54),(24,55),(24,83),(25,38),(25,44),(25,56),(25,57),(25,81),(26,39),(26,45),(26,56),(26,58),(26,82),(27,40),(27,46),(27,57),(27,58),(27,83),(28,31),(28,34),(28,47),(28,50),(28,53),(28,56),(29,32),(29,34),(29,48),(29,51),(29,54),(29,57),(30,33),(30,34),(30,49),(30,52),(30,55),(30,58),(31,77),(31,86),(31,89),(32,77),(32,84),(32,87),(33,77),(33,85),(33,88),(34,73),(34,74),(34,75),(34,76),(34,77),(35,61),(35,62),(35,97),(36,61),(36,63),(36,98),(37,62),(37,63),(37,99),(38,64),(38,65),(38,97),(39,64),(39,66),(39,98),(40,65),(40,66),(40,99),(41,67),(41,68),(41,97),(42,67),(42,69),(42,98),(43,68),(43,69),(43,99),(44,70),(44,71),(44,97),(45,70),(45,72),(45,98),(46,71),(46,72),(46,99),(47,61),(47,64),(47,73),(47,86),(48,62),(48,65),(48,73),(48,84),(49,63),(49,66),(49,73),(49,85),(50,67),(50,70),(50,74),(50,86),(51,68),(51,71),(51,74),(51,84),(52,69),(52,72),(52,74),(52,85),(53,61),(53,67),(53,75),(53,89),(54,62),(54,68),(54,75),(54,87),(55,63),(55,69),(55,75),(55,88),(56,64),(56,70),(56,76),(56,89),(57,65),(57,71),(57,76),(57,87),(58,66),(58,72),(58,76),(58,88),(59,81),(59,82),(59,83),(59,94),(60,78),(60,79),(60,80),(60,94),(61,90),(61,102),(62,90),(62,100),(63,90),(63,101),(64,91),(64,102),(65,91),(65,100),(66,91),(66,101),(67,92),(67,102),(68,92),(68,100),(69,92),(69,101),(70,93),(70,102),(71,93),(71,100),(72,93),(72,101),(73,90),(73,91),(73,95),(74,92),(74,93),(74,95),(75,90),(75,92),(75,96),(76,91),(76,93),(76,96),(77,95),(77,96),(78,84),(78,86),(78,97),(79,85),(79,86),(79,98),(80,84),(80,85),(80,99),(81,87),(81,89),(81,97),(82,88),(82,89),(82,98),(83,87),(83,88),(83,99),(84,95),(84,100),(85,95),(85,101),(86,95),(86,102),(87,96),(87,100),(88,96),(88,101),(89,96),(89,102),(90,103),(91,103),(92,103),(93,103),(94,97),(94,98),(94,99),(95,103),(96,103),(97,100),(97,102),(98,101),(98,102),(99,100),(99,101),(100,103),(101,103),(102,103)],104) ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(1,40),(1,41),(2,15),(2,16),(2,17),(2,26),(2,27),(2,41),(3,12),(3,13),(3,14),(3,24),(3,25),(3,41),(4,21),(4,22),(4,23),(4,25),(4,27),(4,40),(5,18),(5,19),(5,20),(5,24),(5,26),(5,40),(6,11),(6,14),(6,17),(6,20),(6,23),(6,42),(7,10),(7,13),(7,16),(7,19),(7,22),(7,42),(8,9),(8,12),(8,15),(8,18),(8,21),(8,42),(9,43),(9,46),(9,49),(10,44),(10,47),(10,49),(11,45),(11,48),(11,49),(12,28),(12,31),(12,43),(12,50),(13,29),(13,32),(13,44),(13,50),(14,30),(14,33),(14,45),(14,50),(15,34),(15,37),(15,43),(15,51),(16,35),(16,38),(16,44),(16,51),(17,36),(17,39),(17,45),(17,51),(18,28),(18,34),(18,46),(18,52),(19,29),(19,35),(19,47),(19,52),(20,30),(20,36),(20,48),(20,52),(21,31),(21,37),(21,46),(21,53),(22,32),(22,38),(22,47),(22,53),(23,33),(23,39),(23,48),(23,53),(24,28),(24,29),(24,30),(24,58),(25,31),(25,32),(25,33),(25,58),(26,34),(26,35),(26,36),(26,58),(27,37),(27,38),(27,39),(27,58),(28,54),(28,61),(29,54),(29,62),(30,54),(30,63),(31,55),(31,61),(32,55),(32,62),(33,55),(33,63),(34,56),(34,61),(35,56),(35,62),(36,56),(36,63),(37,57),(37,61),(38,57),(38,62),(39,57),(39,63),(40,46),(40,47),(40,48),(40,58),(41,43),(41,44),(41,45),(41,58),(42,49),(42,50),(42,51),(42,52),(42,53),(43,59),(43,61),(44,59),(44,62),(45,59),(45,63),(46,60),(46,61),(47,60),(47,62),(48,60),(48,63),(49,59),(49,60),(50,54),(50,55),(50,59),(51,56),(51,57),(51,59),(52,54),(52,56),(52,60),(53,55),(53,57),(53,60),(54,64),(55,64),(56,64),(57,64),(58,61),(58,62),(58,63),(59,64),(60,64),(61,64),(62,64),(63,64)],65) ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,24),(1,25),(1,26),(1,27),(1,28),(1,29),(1,30),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(2,30),(3,15),(3,16),(3,17),(3,20),(3,26),(3,56),(4,12),(4,13),(4,14),(4,19),(4,25),(4,56),(5,9),(5,10),(5,11),(5,18),(5,24),(5,56),(6,11),(6,14),(6,17),(6,23),(6,29),(6,55),(7,10),(7,13),(7,16),(7,22),(7,28),(7,55),(8,9),(8,12),(8,15),(8,21),(8,27),(8,55),(9,31),(9,40),(9,66),(9,69),(10,32),(10,41),(10,67),(10,69),(11,33),(11,42),(11,68),(11,69),(12,34),(12,43),(12,66),(12,70),(13,35),(13,44),(13,67),(13,70),(14,36),(14,45),(14,68),(14,70),(15,37),(15,46),(15,66),(15,71),(16,38),(16,47),(16,67),(16,71),(17,39),(17,48),(17,68),(17,71),(18,31),(18,32),(18,33),(18,49),(18,72),(19,34),(19,35),(19,36),(19,50),(19,72),(20,37),(20,38),(20,39),(20,51),(20,72),(21,31),(21,34),(21,37),(21,52),(21,73),(22,32),(22,35),(22,38),(22,53),(22,73),(23,33),(23,36),(23,39),(23,54),(23,73),(24,40),(24,41),(24,42),(24,49),(24,74),(25,43),(25,44),(25,45),(25,50),(25,74),(26,46),(26,47),(26,48),(26,51),(26,74),(27,40),(27,43),(27,46),(27,52),(27,75),(28,41),(28,44),(28,47),(28,53),(28,75),(29,42),(29,45),(29,48),(29,54),(29,75),(30,49),(30,50),(30,51),(30,52),(30,53),(30,54),(31,57),(31,78),(31,81),(32,58),(32,79),(32,81),(33,59),(33,80),(33,81),(34,60),(34,78),(34,82),(35,61),(35,79),(35,82),(36,62),(36,80),(36,82),(37,63),(37,78),(37,83),(38,64),(38,79),(38,83),(39,65),(39,80),(39,83),(40,57),(40,84),(40,87),(41,58),(41,85),(41,87),(42,59),(42,86),(42,87),(43,60),(43,84),(43,88),(44,61),(44,85),(44,88),(45,62),(45,86),(45,88),(46,63),(46,84),(46,89),(47,64),(47,85),(47,89),(48,65),(48,86),(48,89),(49,57),(49,58),(49,59),(49,76),(50,60),(50,61),(50,62),(50,76),(51,63),(51,64),(51,65),(51,76),(52,57),(52,60),(52,63),(52,77),(53,58),(53,61),(53,64),(53,77),(54,59),(54,62),(54,65),(54,77),(55,69),(55,70),(55,71),(55,73),(55,75),(56,66),(56,67),(56,68),(56,72),(56,74),(57,90),(57,93),(58,91),(58,93),(59,92),(59,93),(60,90),(60,94),(61,91),(61,94),(62,92),(62,94),(63,90),(63,95),(64,91),(64,95),(65,92),(65,95),(66,78),(66,84),(66,96),(67,79),(67,85),(67,96),(68,80),(68,86),(68,96),(69,81),(69,87),(69,96),(70,82),(70,88),(70,96),(71,83),(71,89),(71,96),(72,76),(72,78),(72,79),(72,80),(73,77),(73,81),(73,82),(73,83),(74,76),(74,84),(74,85),(74,86),(75,77),(75,87),(75,88),(75,89),(76,90),(76,91),(76,92),(77,93),(77,94),(77,95),(78,90),(78,97),(79,91),(79,97),(80,92),(80,97),(81,93),(81,97),(82,94),(82,97),(83,95),(83,97),(84,90),(84,98),(85,91),(85,98),(86,92),(86,98),(87,93),(87,98),(88,94),(88,98),(89,95),(89,98),(90,99),(91,99),(92,99),(93,99),(94,99),(95,99),(96,97),(96,98),(97,99),(98,99)],100) ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,13),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,17),(2,18),(2,19),(2,28),(2,29),(2,34),(2,69),(3,14),(3,15),(3,16),(3,26),(3,27),(3,33),(3,69),(4,23),(4,24),(4,25),(4,27),(4,29),(4,36),(4,68),(5,20),(5,21),(5,22),(5,26),(5,28),(5,35),(5,68),(6,12),(6,16),(6,19),(6,22),(6,25),(6,32),(6,70),(7,11),(7,15),(7,18),(7,21),(7,24),(7,31),(7,70),(8,10),(8,14),(8,17),(8,20),(8,23),(8,30),(8,70),(9,10),(9,11),(9,12),(9,13),(9,68),(9,69),(10,37),(10,71),(10,87),(10,90),(11,38),(11,71),(11,88),(11,91),(12,39),(12,71),(12,89),(12,92),(13,37),(13,38),(13,39),(13,84),(13,85),(14,44),(14,56),(14,59),(14,87),(14,93),(15,45),(15,57),(15,60),(15,88),(15,93),(16,46),(16,58),(16,61),(16,89),(16,93),(17,47),(17,62),(17,65),(17,87),(17,94),(18,48),(18,63),(18,66),(18,88),(18,94),(19,49),(19,64),(19,67),(19,89),(19,94),(20,50),(20,56),(20,62),(20,90),(20,95),(21,51),(21,57),(21,63),(21,91),(21,95),(22,52),(22,58),(22,64),(22,92),(22,95),(23,53),(23,59),(23,65),(23,90),(23,96),(24,54),(24,60),(24,66),(24,91),(24,96),(25,55),(25,61),(25,67),(25,92),(25,96),(26,40),(26,56),(26,57),(26,58),(26,112),(27,41),(27,59),(27,60),(27,61),(27,112),(28,42),(28,62),(28,63),(28,64),(28,112),(29,43),(29,65),(29,66),(29,67),(29,112),(30,37),(30,44),(30,47),(30,50),(30,53),(30,86),(31,38),(31,45),(31,48),(31,51),(31,54),(31,86),(32,39),(32,46),(32,49),(32,52),(32,55),(32,86),(33,40),(33,41),(33,44),(33,45),(33,46),(33,84),(34,42),(34,43),(34,47),(34,48),(34,49),(34,84),(35,40),(35,42),(35,50),(35,51),(35,52),(35,85),(36,41),(36,43),(36,53),(36,54),(36,55),(36,85),(37,101),(37,104),(37,111),(38,102),(38,105),(38,111),(39,103),(39,106),(39,111),(40,72),(40,73),(40,74),(40,124),(41,75),(41,76),(41,77),(41,124),(42,78),(42,79),(42,80),(42,124),(43,81),(43,82),(43,83),(43,124),(44,72),(44,75),(44,101),(44,107),(45,73),(45,76),(45,102),(45,107),(46,74),(46,77),(46,103),(46,107),(47,78),(47,81),(47,101),(47,108),(48,79),(48,82),(48,102),(48,108),(49,80),(49,83),(49,103),(49,108),(50,72),(50,78),(50,104),(50,109),(51,73),(51,79),(51,105),(51,109),(52,74),(52,80),(52,106),(52,109),(53,75),(53,81),(53,104),(53,110),(54,76),(54,82),(54,105),(54,110),(55,77),(55,83),(55,106),(55,110),(56,72),(56,97),(56,119),(57,73),(57,97),(57,120),(58,74),(58,97),(58,121),(59,75),(59,98),(59,119),(60,76),(60,98),(60,120),(61,77),(61,98),(61,121),(62,78),(62,99),(62,119),(63,79),(63,99),(63,120),(64,80),(64,99),(64,121),(65,81),(65,100),(65,119),(66,82),(66,100),(66,120),(67,83),(67,100),(67,121),(68,85),(68,90),(68,91),(68,92),(68,112),(69,84),(69,87),(69,88),(69,89),(69,112),(70,71),(70,86),(70,93),(70,94),(70,95),(70,96),(71,111),(71,113),(71,114),(72,115),(72,125),(73,115),(73,126),(74,115),(74,127),(75,116),(75,125),(76,116),(76,126),(77,116),(77,127),(78,117),(78,125),(79,117),(79,126),(80,117),(80,127),(81,118),(81,125),(82,118),(82,126),(83,118),(83,127),(84,101),(84,102),(84,103),(84,124),(85,104),(85,105),(85,106),(85,124),(86,107),(86,108),(86,109),(86,110),(86,111),(87,101),(87,113),(87,119),(88,102),(88,113),(88,120),(89,103),(89,113),(89,121),(90,104),(90,114),(90,119),(91,105),(91,114),(91,120),(92,106),(92,114),(92,121),(93,97),(93,98),(93,107),(93,113),(94,99),(94,100),(94,108),(94,113),(95,97),(95,99),(95,109),(95,114),(96,98),(96,100),(96,110),(96,114),(97,115),(97,128),(98,116),(98,128),(99,117),(99,128),(100,118),(100,128),(101,122),(101,125),(102,122),(102,126),(103,122),(103,127),(104,123),(104,125),(105,123),(105,126),(106,123),(106,127),(107,115),(107,116),(107,122),(108,117),(108,118),(108,122),(109,115),(109,117),(109,123),(110,116),(110,118),(110,123),(111,122),(111,123),(112,119),(112,120),(112,121),(112,124),(113,122),(113,128),(114,123),(114,128),(115,129),(116,129),(117,129),(118,129),(119,125),(119,128),(120,126),(120,128),(121,127),(121,128),(122,129),(123,129),(124,125),(124,126),(124,127),(125,129),(126,129),(127,129),(128,129)],130) ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(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) ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,16),(1,21),(1,23),(2,8),(2,16),(2,20),(2,22),(3,10),(3,15),(3,20),(3,23),(4,11),(4,15),(4,21),(4,22),(5,13),(5,14),(5,22),(5,23),(6,12),(6,14),(6,20),(6,21),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,17),(8,24),(8,26),(9,17),(9,25),(9,27),(10,18),(10,24),(10,27),(11,18),(11,25),(11,26),(12,19),(12,24),(12,25),(13,19),(13,26),(13,27),(14,19),(14,28),(15,18),(15,28),(16,17),(16,28),(17,29),(18,29),(19,29),(20,24),(20,28),(21,25),(21,28),(22,26),(22,28),(23,27),(23,28),(24,29),(25,29),(26,29),(27,29),(28,29)],30) 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([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60) ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,22),(1,23),(1,24),(1,25),(1,26),(1,27),(1,32),(1,33),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,31),(2,33),(3,10),(3,11),(3,12),(3,13),(3,14),(3,15),(3,31),(3,32),(4,11),(4,17),(4,23),(4,30),(4,63),(4,65),(5,10),(5,16),(5,22),(5,30),(5,62),(5,64),(6,12),(6,18),(6,24),(6,29),(6,62),(6,65),(7,13),(7,19),(7,25),(7,29),(7,63),(7,64),(8,15),(8,21),(8,27),(8,28),(8,64),(8,65),(9,14),(9,20),(9,26),(9,28),(9,62),(9,63),(10,35),(10,44),(10,50),(10,81),(10,83),(11,35),(11,45),(11,51),(11,82),(11,84),(12,36),(12,46),(12,52),(12,81),(12,84),(13,36),(13,47),(13,53),(13,82),(13,83),(14,37),(14,48),(14,54),(14,81),(14,82),(15,37),(15,49),(15,55),(15,83),(15,84),(16,38),(16,44),(16,56),(16,85),(16,87),(17,38),(17,45),(17,57),(17,86),(17,88),(18,39),(18,46),(18,58),(18,85),(18,88),(19,39),(19,47),(19,59),(19,86),(19,87),(20,40),(20,48),(20,60),(20,85),(20,86),(21,40),(21,49),(21,61),(21,87),(21,88),(22,41),(22,50),(22,56),(22,89),(22,91),(23,41),(23,51),(23,57),(23,90),(23,92),(24,42),(24,52),(24,58),(24,89),(24,92),(25,42),(25,53),(25,59),(25,90),(25,91),(26,43),(26,54),(26,60),(26,89),(26,90),(27,43),(27,55),(27,61),(27,91),(27,92),(28,37),(28,40),(28,43),(28,112),(29,36),(29,39),(29,42),(29,112),(30,35),(30,38),(30,41),(30,112),(31,34),(31,44),(31,45),(31,46),(31,47),(31,48),(31,49),(32,34),(32,50),(32,51),(32,52),(32,53),(32,54),(32,55),(33,34),(33,56),(33,57),(33,58),(33,59),(33,60),(33,61),(34,75),(34,76),(34,77),(34,78),(34,79),(34,80),(35,66),(35,69),(35,113),(36,67),(36,70),(36,113),(37,68),(37,71),(37,113),(38,66),(38,72),(38,114),(39,67),(39,73),(39,114),(40,68),(40,74),(40,114),(41,69),(41,72),(41,115),(42,70),(42,73),(42,115),(43,71),(43,74),(43,115),(44,66),(44,75),(44,101),(44,103),(45,66),(45,76),(45,102),(45,104),(46,67),(46,77),(46,101),(46,104),(47,67),(47,78),(47,102),(47,103),(48,68),(48,79),(48,101),(48,102),(49,68),(49,80),(49,103),(49,104),(50,69),(50,75),(50,93),(50,95),(51,69),(51,76),(51,94),(51,96),(52,70),(52,77),(52,93),(52,96),(53,70),(53,78),(53,94),(53,95),(54,71),(54,79),(54,93),(54,94),(55,71),(55,80),(55,95),(55,96),(56,72),(56,75),(56,97),(56,99),(57,72),(57,76),(57,98),(57,100),(58,73),(58,77),(58,97),(58,100),(59,73),(59,78),(59,98),(59,99),(60,74),(60,79),(60,97),(60,98),(61,74),(61,80),(61,99),(61,100),(62,81),(62,85),(62,89),(62,112),(63,82),(63,86),(63,90),(63,112),(64,83),(64,87),(64,91),(64,112),(65,84),(65,88),(65,92),(65,112),(66,105),(66,118),(67,106),(67,118),(68,107),(68,118),(69,105),(69,116),(70,106),(70,116),(71,107),(71,116),(72,105),(72,117),(73,106),(73,117),(74,107),(74,117),(75,105),(75,108),(75,110),(76,105),(76,109),(76,111),(77,106),(77,108),(77,111),(78,106),(78,109),(78,110),(79,107),(79,108),(79,109),(80,107),(80,110),(80,111),(81,93),(81,101),(81,113),(82,94),(82,102),(82,113),(83,95),(83,103),(83,113),(84,96),(84,104),(84,113),(85,97),(85,101),(85,114),(86,98),(86,102),(86,114),(87,99),(87,103),(87,114),(88,100),(88,104),(88,114),(89,93),(89,97),(89,115),(90,94),(90,98),(90,115),(91,95),(91,99),(91,115),(92,96),(92,100),(92,115),(93,108),(93,116),(94,109),(94,116),(95,110),(95,116),(96,111),(96,116),(97,108),(97,117),(98,109),(98,117),(99,110),(99,117),(100,111),(100,117),(101,108),(101,118),(102,109),(102,118),(103,110),(103,118),(104,111),(104,118),(105,119),(106,119),(107,119),(108,119),(109,119),(110,119),(111,119),(112,113),(112,114),(112,115),(113,116),(113,118),(114,117),(114,118),(115,116),(115,117),(116,119),(117,119),(118,119)],120) 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([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,11),(1,12),(1,51),(1,52),(2,16),(2,20),(2,24),(2,28),(2,30),(2,52),(3,15),(3,19),(3,23),(3,28),(3,29),(3,51),(4,17),(4,21),(4,25),(4,27),(4,29),(4,52),(5,18),(5,22),(5,26),(5,27),(5,30),(5,51),(6,9),(6,11),(6,14),(6,19),(6,20),(6,21),(6,22),(7,9),(7,10),(7,13),(7,15),(7,16),(7,17),(7,18),(8,12),(8,13),(8,14),(8,23),(8,24),(8,25),(8,26),(9,37),(9,40),(9,69),(9,70),(10,37),(10,49),(10,53),(10,54),(11,37),(11,50),(11,55),(11,56),(12,49),(12,50),(12,57),(12,58),(13,40),(13,41),(13,42),(13,43),(13,44),(13,49),(14,40),(14,45),(14,46),(14,47),(14,48),(14,50),(15,33),(15,41),(15,53),(15,69),(16,34),(16,42),(16,54),(16,69),(17,33),(17,43),(17,54),(17,70),(18,34),(18,44),(18,53),(18,70),(19,35),(19,45),(19,55),(19,69),(20,36),(20,46),(20,56),(20,69),(21,35),(21,47),(21,56),(21,70),(22,36),(22,48),(22,55),(22,70),(23,31),(23,38),(23,41),(23,45),(23,57),(24,32),(24,38),(24,42),(24,46),(24,58),(25,31),(25,39),(25,43),(25,47),(25,58),(26,32),(26,39),(26,44),(26,48),(26,57),(27,39),(27,68),(27,70),(28,38),(28,68),(28,69),(29,31),(29,33),(29,35),(29,68),(30,32),(30,34),(30,36),(30,68),(31,60),(31,62),(31,71),(32,61),(32,63),(32,71),(33,60),(33,74),(34,61),(34,74),(35,62),(35,74),(36,63),(36,74),(37,59),(37,74),(38,71),(38,72),(39,71),(39,73),(40,59),(40,72),(40,73),(41,60),(41,64),(41,72),(42,61),(42,65),(42,72),(43,60),(43,65),(43,73),(44,61),(44,64),(44,73),(45,62),(45,66),(45,72),(46,63),(46,67),(46,72),(47,62),(47,67),(47,73),(48,63),(48,66),(48,73),(49,59),(49,64),(49,65),(50,59),(50,66),(50,67),(51,53),(51,55),(51,57),(51,68),(52,54),(52,56),(52,58),(52,68),(53,64),(53,74),(54,65),(54,74),(55,66),(55,74),(56,67),(56,74),(57,64),(57,66),(57,71),(58,65),(58,67),(58,71),(59,75),(60,75),(61,75),(62,75),(63,75),(64,75),(65,75),(66,75),(67,75),(68,71),(68,74),(69,72),(69,74),(70,73),(70,74),(71,75),(72,75),(73,75),(74,75)],76) 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([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116) ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62) ([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,12),(5,13),(5,14),(5,15),(5,26),(6,8),(6,9),(6,10),(6,11),(6,26),(7,16),(7,17),(7,18),(7,19),(7,26),(8,37),(8,38),(8,40),(8,57),(9,37),(9,39),(9,41),(9,58),(10,38),(10,39),(10,42),(10,59),(11,40),(11,41),(11,42),(11,60),(12,43),(12,44),(12,46),(12,57),(13,43),(13,45),(13,47),(13,58),(14,44),(14,45),(14,48),(14,59),(15,46),(15,47),(15,48),(15,60),(16,31),(16,32),(16,34),(16,57),(17,31),(17,33),(17,35),(17,58),(18,32),(18,33),(18,36),(18,59),(19,34),(19,35),(19,36),(19,60),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,57),(26,58),(26,59),(26,60),(27,49),(27,53),(27,67),(28,50),(28,54),(28,67),(29,51),(29,55),(29,67),(30,52),(30,56),(30,67),(31,63),(31,67),(32,61),(32,67),(33,62),(33,67),(34,64),(34,67),(35,65),(35,67),(36,66),(36,67),(37,49),(37,52),(37,63),(38,49),(38,50),(38,61),(39,49),(39,51),(39,62),(40,50),(40,52),(40,64),(41,51),(41,52),(41,65),(42,50),(42,51),(42,66),(43,53),(43,56),(43,63),(44,53),(44,54),(44,61),(45,53),(45,55),(45,62),(46,54),(46,56),(46,64),(47,55),(47,56),(47,65),(48,54),(48,55),(48,66),(49,68),(50,68),(51,68),(52,68),(53,68),(54,68),(55,68),(56,68),(57,61),(57,63),(57,64),(58,62),(58,63),(58,65),(59,61),(59,62),(59,66),(60,64),(60,65),(60,66),(61,68),(62,68),(63,68),(64,68),(65,68),(66,68),(67,68)],69) ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108) ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62) 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([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],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) ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,24),(1,25),(1,26),(1,27),(1,28),(1,29),(1,30),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(2,30),(3,15),(3,16),(3,17),(3,20),(3,26),(3,56),(4,12),(4,13),(4,14),(4,19),(4,25),(4,56),(5,9),(5,10),(5,11),(5,18),(5,24),(5,56),(6,11),(6,14),(6,17),(6,23),(6,29),(6,55),(7,10),(7,13),(7,16),(7,22),(7,28),(7,55),(8,9),(8,12),(8,15),(8,21),(8,27),(8,55),(9,31),(9,40),(9,66),(9,69),(10,32),(10,41),(10,67),(10,69),(11,33),(11,42),(11,68),(11,69),(12,34),(12,43),(12,66),(12,70),(13,35),(13,44),(13,67),(13,70),(14,36),(14,45),(14,68),(14,70),(15,37),(15,46),(15,66),(15,71),(16,38),(16,47),(16,67),(16,71),(17,39),(17,48),(17,68),(17,71),(18,31),(18,32),(18,33),(18,49),(18,72),(19,34),(19,35),(19,36),(19,50),(19,72),(20,37),(20,38),(20,39),(20,51),(20,72),(21,31),(21,34),(21,37),(21,52),(21,73),(22,32),(22,35),(22,38),(22,53),(22,73),(23,33),(23,36),(23,39),(23,54),(23,73),(24,40),(24,41),(24,42),(24,49),(24,74),(25,43),(25,44),(25,45),(25,50),(25,74),(26,46),(26,47),(26,48),(26,51),(26,74),(27,40),(27,43),(27,46),(27,52),(27,75),(28,41),(28,44),(28,47),(28,53),(28,75),(29,42),(29,45),(29,48),(29,54),(29,75),(30,49),(30,50),(30,51),(30,52),(30,53),(30,54),(31,57),(31,78),(31,81),(32,58),(32,79),(32,81),(33,59),(33,80),(33,81),(34,60),(34,78),(34,82),(35,61),(35,79),(35,82),(36,62),(36,80),(36,82),(37,63),(37,78),(37,83),(38,64),(38,79),(38,83),(39,65),(39,80),(39,83),(40,57),(40,84),(40,87),(41,58),(41,85),(41,87),(42,59),(42,86),(42,87),(43,60),(43,84),(43,88),(44,61),(44,85),(44,88),(45,62),(45,86),(45,88),(46,63),(46,84),(46,89),(47,64),(47,85),(47,89),(48,65),(48,86),(48,89),(49,57),(49,58),(49,59),(49,76),(50,60),(50,61),(50,62),(50,76),(51,63),(51,64),(51,65),(51,76),(52,57),(52,60),(52,63),(52,77),(53,58),(53,61),(53,64),(53,77),(54,59),(54,62),(54,65),(54,77),(55,69),(55,70),(55,71),(55,73),(55,75),(56,66),(56,67),(56,68),(56,72),(56,74),(57,90),(57,93),(58,91),(58,93),(59,92),(59,93),(60,90),(60,94),(61,91),(61,94),(62,92),(62,94),(63,90),(63,95),(64,91),(64,95),(65,92),(65,95),(66,78),(66,84),(66,96),(67,79),(67,85),(67,96),(68,80),(68,86),(68,96),(69,81),(69,87),(69,96),(70,82),(70,88),(70,96),(71,83),(71,89),(71,96),(72,76),(72,78),(72,79),(72,80),(73,77),(73,81),(73,82),(73,83),(74,76),(74,84),(74,85),(74,86),(75,77),(75,87),(75,88),(75,89),(76,90),(76,91),(76,92),(77,93),(77,94),(77,95),(78,90),(78,97),(79,91),(79,97),(80,92),(80,97),(81,93),(81,97),(82,94),(82,97),(83,95),(83,97),(84,90),(84,98),(85,91),(85,98),(86,92),(86,98),(87,93),(87,98),(88,94),(88,98),(89,95),(89,98),(90,99),(91,99),(92,99),(93,99),(94,99),(95,99),(96,97),(96,98),(97,99),(98,99)],100) ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(1,17),(1,18),(1,25),(1,26),(1,27),(1,66),(2,13),(2,14),(2,15),(2,22),(2,23),(2,24),(2,66),(3,10),(3,11),(3,12),(3,19),(3,20),(3,21),(3,66),(4,12),(4,15),(4,18),(4,34),(4,35),(4,36),(4,65),(5,11),(5,14),(5,17),(5,31),(5,32),(5,33),(5,65),(6,10),(6,13),(6,16),(6,28),(6,29),(6,30),(6,65),(7,21),(7,24),(7,27),(7,30),(7,33),(7,36),(7,64),(8,20),(8,23),(8,26),(8,29),(8,32),(8,35),(8,64),(9,19),(9,22),(9,25),(9,28),(9,31),(9,34),(9,64),(10,37),(10,38),(10,39),(10,73),(10,76),(11,40),(11,41),(11,42),(11,74),(11,76),(12,43),(12,44),(12,45),(12,75),(12,76),(13,46),(13,47),(13,48),(13,73),(13,77),(14,49),(14,50),(14,51),(14,74),(14,77),(15,52),(15,53),(15,54),(15,75),(15,77),(16,55),(16,56),(16,57),(16,73),(16,78),(17,58),(17,59),(17,60),(17,74),(17,78),(18,61),(18,62),(18,63),(18,75),(18,78),(19,37),(19,40),(19,43),(19,67),(19,79),(20,38),(20,41),(20,44),(20,68),(20,79),(21,39),(21,42),(21,45),(21,69),(21,79),(22,46),(22,49),(22,52),(22,67),(22,80),(23,47),(23,50),(23,53),(23,68),(23,80),(24,48),(24,51),(24,54),(24,69),(24,80),(25,55),(25,58),(25,61),(25,67),(25,81),(26,56),(26,59),(26,62),(26,68),(26,81),(27,57),(27,60),(27,63),(27,69),(27,81),(28,37),(28,46),(28,55),(28,70),(28,82),(29,38),(29,47),(29,56),(29,71),(29,82),(30,39),(30,48),(30,57),(30,72),(30,82),(31,40),(31,49),(31,58),(31,70),(31,83),(32,41),(32,50),(32,59),(32,71),(32,83),(33,42),(33,51),(33,60),(33,72),(33,83),(34,43),(34,52),(34,61),(34,70),(34,84),(35,44),(35,53),(35,62),(35,71),(35,84),(36,45),(36,54),(36,63),(36,72),(36,84),(37,85),(37,94),(37,103),(38,86),(38,95),(38,103),(39,87),(39,96),(39,103),(40,88),(40,94),(40,104),(41,89),(41,95),(41,104),(42,90),(42,96),(42,104),(43,91),(43,94),(43,105),(44,92),(44,95),(44,105),(45,93),(45,96),(45,105),(46,85),(46,97),(46,106),(47,86),(47,98),(47,106),(48,87),(48,99),(48,106),(49,88),(49,97),(49,107),(50,89),(50,98),(50,107),(51,90),(51,99),(51,107),(52,91),(52,97),(52,108),(53,92),(53,98),(53,108),(54,93),(54,99),(54,108),(55,85),(55,100),(55,109),(56,86),(56,101),(56,109),(57,87),(57,102),(57,109),(58,88),(58,100),(58,110),(59,89),(59,101),(59,110),(60,90),(60,102),(60,110),(61,91),(61,100),(61,111),(62,92),(62,101),(62,111),(63,93),(63,102),(63,111),(64,79),(64,80),(64,81),(64,82),(64,83),(64,84),(65,70),(65,71),(65,72),(65,76),(65,77),(65,78),(66,67),(66,68),(66,69),(66,73),(66,74),(66,75),(67,85),(67,88),(67,91),(67,113),(68,86),(68,89),(68,92),(68,113),(69,87),(69,90),(69,93),(69,113),(70,94),(70,97),(70,100),(70,114),(71,95),(71,98),(71,101),(71,114),(72,96),(72,99),(72,102),(72,114),(73,85),(73,86),(73,87),(73,112),(74,88),(74,89),(74,90),(74,112),(75,91),(75,92),(75,93),(75,112),(76,94),(76,95),(76,96),(76,112),(77,97),(77,98),(77,99),(77,112),(78,100),(78,101),(78,102),(78,112),(79,103),(79,104),(79,105),(79,113),(80,106),(80,107),(80,108),(80,113),(81,109),(81,110),(81,111),(81,113),(82,103),(82,106),(82,109),(82,114),(83,104),(83,107),(83,110),(83,114),(84,105),(84,108),(84,111),(84,114),(85,115),(85,118),(86,116),(86,118),(87,117),(87,118),(88,115),(88,119),(89,116),(89,119),(90,117),(90,119),(91,115),(91,120),(92,116),(92,120),(93,117),(93,120),(94,115),(94,121),(95,116),(95,121),(96,117),(96,121),(97,115),(97,122),(98,116),(98,122),(99,117),(99,122),(100,115),(100,123),(101,116),(101,123),(102,117),(102,123),(103,118),(103,121),(104,119),(104,121),(105,120),(105,121),(106,118),(106,122),(107,119),(107,122),(108,120),(108,122),(109,118),(109,123),(110,119),(110,123),(111,120),(111,123),(112,115),(112,116),(112,117),(113,118),(113,119),(113,120),(114,121),(114,122),(114,123),(115,124),(116,124),(117,124),(118,124),(119,124),(120,124),(121,124),(122,124),(123,124)],125) ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],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) ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(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),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54) ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40) ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96) ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) 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([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108) ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80) 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([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25) ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52) ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50) ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,16),(1,21),(1,23),(2,8),(2,16),(2,20),(2,22),(3,10),(3,15),(3,20),(3,23),(4,11),(4,15),(4,21),(4,22),(5,13),(5,14),(5,22),(5,23),(6,12),(6,14),(6,20),(6,21),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,17),(8,24),(8,26),(9,17),(9,25),(9,27),(10,18),(10,24),(10,27),(11,18),(11,25),(11,26),(12,19),(12,24),(12,25),(13,19),(13,26),(13,27),(14,19),(14,28),(15,18),(15,28),(16,17),(16,28),(17,29),(18,29),(19,29),(20,24),(20,28),(21,25),(21,28),(22,26),(22,28),(23,27),(23,28),(24,29),(25,29),(26,29),(27,29),(28,29)],30) ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,18),(1,21),(1,24),(1,27),(1,29),(1,30),(2,10),(2,17),(2,20),(2,23),(2,26),(2,28),(2,30),(3,9),(3,16),(3,19),(3,22),(3,25),(3,28),(3,29),(4,14),(4,15),(4,19),(4,20),(4,21),(4,60),(5,12),(5,13),(5,16),(5,17),(5,18),(5,60),(6,13),(6,15),(6,25),(6,26),(6,27),(6,59),(7,12),(7,14),(7,22),(7,23),(7,24),(7,59),(8,9),(8,10),(8,11),(8,59),(8,60),(9,31),(9,32),(9,78),(9,81),(10,31),(10,33),(10,79),(10,82),(11,32),(11,33),(11,80),(11,83),(12,35),(12,36),(12,37),(12,94),(13,38),(13,39),(13,40),(13,94),(14,41),(14,42),(14,43),(14,94),(15,44),(15,45),(15,46),(15,94),(16,35),(16,38),(16,47),(16,48),(16,78),(17,36),(17,39),(17,47),(17,49),(17,79),(18,37),(18,40),(18,48),(18,49),(18,80),(19,41),(19,44),(19,50),(19,51),(19,78),(20,42),(20,45),(20,50),(20,52),(20,79),(21,43),(21,46),(21,51),(21,52),(21,80),(22,35),(22,41),(22,53),(22,54),(22,81),(23,36),(23,42),(23,53),(23,55),(23,82),(24,37),(24,43),(24,54),(24,55),(24,83),(25,38),(25,44),(25,56),(25,57),(25,81),(26,39),(26,45),(26,56),(26,58),(26,82),(27,40),(27,46),(27,57),(27,58),(27,83),(28,31),(28,34),(28,47),(28,50),(28,53),(28,56),(29,32),(29,34),(29,48),(29,51),(29,54),(29,57),(30,33),(30,34),(30,49),(30,52),(30,55),(30,58),(31,77),(31,86),(31,89),(32,77),(32,84),(32,87),(33,77),(33,85),(33,88),(34,73),(34,74),(34,75),(34,76),(34,77),(35,61),(35,62),(35,97),(36,61),(36,63),(36,98),(37,62),(37,63),(37,99),(38,64),(38,65),(38,97),(39,64),(39,66),(39,98),(40,65),(40,66),(40,99),(41,67),(41,68),(41,97),(42,67),(42,69),(42,98),(43,68),(43,69),(43,99),(44,70),(44,71),(44,97),(45,70),(45,72),(45,98),(46,71),(46,72),(46,99),(47,61),(47,64),(47,73),(47,86),(48,62),(48,65),(48,73),(48,84),(49,63),(49,66),(49,73),(49,85),(50,67),(50,70),(50,74),(50,86),(51,68),(51,71),(51,74),(51,84),(52,69),(52,72),(52,74),(52,85),(53,61),(53,67),(53,75),(53,89),(54,62),(54,68),(54,75),(54,87),(55,63),(55,69),(55,75),(55,88),(56,64),(56,70),(56,76),(56,89),(57,65),(57,71),(57,76),(57,87),(58,66),(58,72),(58,76),(58,88),(59,81),(59,82),(59,83),(59,94),(60,78),(60,79),(60,80),(60,94),(61,90),(61,102),(62,90),(62,100),(63,90),(63,101),(64,91),(64,102),(65,91),(65,100),(66,91),(66,101),(67,92),(67,102),(68,92),(68,100),(69,92),(69,101),(70,93),(70,102),(71,93),(71,100),(72,93),(72,101),(73,90),(73,91),(73,95),(74,92),(74,93),(74,95),(75,90),(75,92),(75,96),(76,91),(76,93),(76,96),(77,95),(77,96),(78,84),(78,86),(78,97),(79,85),(79,86),(79,98),(80,84),(80,85),(80,99),(81,87),(81,89),(81,97),(82,88),(82,89),(82,98),(83,87),(83,88),(83,99),(84,95),(84,100),(85,95),(85,101),(86,95),(86,102),(87,96),(87,100),(88,96),(88,101),(89,96),(89,102),(90,103),(91,103),(92,103),(93,103),(94,97),(94,98),(94,99),(95,103),(96,103),(97,100),(97,102),(98,101),(98,102),(99,100),(99,101),(100,103),(101,103),(102,103)],104) ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,24),(1,25),(1,26),(1,27),(1,28),(1,29),(1,30),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(2,30),(3,15),(3,16),(3,17),(3,20),(3,26),(3,56),(4,12),(4,13),(4,14),(4,19),(4,25),(4,56),(5,9),(5,10),(5,11),(5,18),(5,24),(5,56),(6,11),(6,14),(6,17),(6,23),(6,29),(6,55),(7,10),(7,13),(7,16),(7,22),(7,28),(7,55),(8,9),(8,12),(8,15),(8,21),(8,27),(8,55),(9,31),(9,40),(9,66),(9,69),(10,32),(10,41),(10,67),(10,69),(11,33),(11,42),(11,68),(11,69),(12,34),(12,43),(12,66),(12,70),(13,35),(13,44),(13,67),(13,70),(14,36),(14,45),(14,68),(14,70),(15,37),(15,46),(15,66),(15,71),(16,38),(16,47),(16,67),(16,71),(17,39),(17,48),(17,68),(17,71),(18,31),(18,32),(18,33),(18,49),(18,72),(19,34),(19,35),(19,36),(19,50),(19,72),(20,37),(20,38),(20,39),(20,51),(20,72),(21,31),(21,34),(21,37),(21,52),(21,73),(22,32),(22,35),(22,38),(22,53),(22,73),(23,33),(23,36),(23,39),(23,54),(23,73),(24,40),(24,41),(24,42),(24,49),(24,74),(25,43),(25,44),(25,45),(25,50),(25,74),(26,46),(26,47),(26,48),(26,51),(26,74),(27,40),(27,43),(27,46),(27,52),(27,75),(28,41),(28,44),(28,47),(28,53),(28,75),(29,42),(29,45),(29,48),(29,54),(29,75),(30,49),(30,50),(30,51),(30,52),(30,53),(30,54),(31,57),(31,78),(31,81),(32,58),(32,79),(32,81),(33,59),(33,80),(33,81),(34,60),(34,78),(34,82),(35,61),(35,79),(35,82),(36,62),(36,80),(36,82),(37,63),(37,78),(37,83),(38,64),(38,79),(38,83),(39,65),(39,80),(39,83),(40,57),(40,84),(40,87),(41,58),(41,85),(41,87),(42,59),(42,86),(42,87),(43,60),(43,84),(43,88),(44,61),(44,85),(44,88),(45,62),(45,86),(45,88),(46,63),(46,84),(46,89),(47,64),(47,85),(47,89),(48,65),(48,86),(48,89),(49,57),(49,58),(49,59),(49,76),(50,60),(50,61),(50,62),(50,76),(51,63),(51,64),(51,65),(51,76),(52,57),(52,60),(52,63),(52,77),(53,58),(53,61),(53,64),(53,77),(54,59),(54,62),(54,65),(54,77),(55,69),(55,70),(55,71),(55,73),(55,75),(56,66),(56,67),(56,68),(56,72),(56,74),(57,90),(57,93),(58,91),(58,93),(59,92),(59,93),(60,90),(60,94),(61,91),(61,94),(62,92),(62,94),(63,90),(63,95),(64,91),(64,95),(65,92),(65,95),(66,78),(66,84),(66,96),(67,79),(67,85),(67,96),(68,80),(68,86),(68,96),(69,81),(69,87),(69,96),(70,82),(70,88),(70,96),(71,83),(71,89),(71,96),(72,76),(72,78),(72,79),(72,80),(73,77),(73,81),(73,82),(73,83),(74,76),(74,84),(74,85),(74,86),(75,77),(75,87),(75,88),(75,89),(76,90),(76,91),(76,92),(77,93),(77,94),(77,95),(78,90),(78,97),(79,91),(79,97),(80,92),(80,97),(81,93),(81,97),(82,94),(82,97),(83,95),(83,97),(84,90),(84,98),(85,91),(85,98),(86,92),(86,98),(87,93),(87,98),(88,94),(88,98),(89,95),(89,98),(90,99),(91,99),(92,99),(93,99),(94,99),(95,99),(96,97),(96,98),(97,99),(98,99)],100) ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(1,40),(1,41),(2,15),(2,16),(2,17),(2,26),(2,27),(2,41),(3,12),(3,13),(3,14),(3,24),(3,25),(3,41),(4,21),(4,22),(4,23),(4,25),(4,27),(4,40),(5,18),(5,19),(5,20),(5,24),(5,26),(5,40),(6,11),(6,14),(6,17),(6,20),(6,23),(6,42),(7,10),(7,13),(7,16),(7,19),(7,22),(7,42),(8,9),(8,12),(8,15),(8,18),(8,21),(8,42),(9,43),(9,46),(9,49),(10,44),(10,47),(10,49),(11,45),(11,48),(11,49),(12,28),(12,31),(12,43),(12,50),(13,29),(13,32),(13,44),(13,50),(14,30),(14,33),(14,45),(14,50),(15,34),(15,37),(15,43),(15,51),(16,35),(16,38),(16,44),(16,51),(17,36),(17,39),(17,45),(17,51),(18,28),(18,34),(18,46),(18,52),(19,29),(19,35),(19,47),(19,52),(20,30),(20,36),(20,48),(20,52),(21,31),(21,37),(21,46),(21,53),(22,32),(22,38),(22,47),(22,53),(23,33),(23,39),(23,48),(23,53),(24,28),(24,29),(24,30),(24,58),(25,31),(25,32),(25,33),(25,58),(26,34),(26,35),(26,36),(26,58),(27,37),(27,38),(27,39),(27,58),(28,54),(28,61),(29,54),(29,62),(30,54),(30,63),(31,55),(31,61),(32,55),(32,62),(33,55),(33,63),(34,56),(34,61),(35,56),(35,62),(36,56),(36,63),(37,57),(37,61),(38,57),(38,62),(39,57),(39,63),(40,46),(40,47),(40,48),(40,58),(41,43),(41,44),(41,45),(41,58),(42,49),(42,50),(42,51),(42,52),(42,53),(43,59),(43,61),(44,59),(44,62),(45,59),(45,63),(46,60),(46,61),(47,60),(47,62),(48,60),(48,63),(49,59),(49,60),(50,54),(50,55),(50,59),(51,56),(51,57),(51,59),(52,54),(52,56),(52,60),(53,55),(53,57),(53,60),(54,64),(55,64),(56,64),(57,64),(58,61),(58,62),(58,63),(59,64),(60,64),(61,64),(62,64),(63,64)],65) ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60) ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60) ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,13),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,17),(2,18),(2,19),(2,28),(2,29),(2,34),(2,69),(3,14),(3,15),(3,16),(3,26),(3,27),(3,33),(3,69),(4,23),(4,24),(4,25),(4,27),(4,29),(4,36),(4,68),(5,20),(5,21),(5,22),(5,26),(5,28),(5,35),(5,68),(6,12),(6,16),(6,19),(6,22),(6,25),(6,32),(6,70),(7,11),(7,15),(7,18),(7,21),(7,24),(7,31),(7,70),(8,10),(8,14),(8,17),(8,20),(8,23),(8,30),(8,70),(9,10),(9,11),(9,12),(9,13),(9,68),(9,69),(10,37),(10,71),(10,87),(10,90),(11,38),(11,71),(11,88),(11,91),(12,39),(12,71),(12,89),(12,92),(13,37),(13,38),(13,39),(13,84),(13,85),(14,44),(14,56),(14,59),(14,87),(14,93),(15,45),(15,57),(15,60),(15,88),(15,93),(16,46),(16,58),(16,61),(16,89),(16,93),(17,47),(17,62),(17,65),(17,87),(17,94),(18,48),(18,63),(18,66),(18,88),(18,94),(19,49),(19,64),(19,67),(19,89),(19,94),(20,50),(20,56),(20,62),(20,90),(20,95),(21,51),(21,57),(21,63),(21,91),(21,95),(22,52),(22,58),(22,64),(22,92),(22,95),(23,53),(23,59),(23,65),(23,90),(23,96),(24,54),(24,60),(24,66),(24,91),(24,96),(25,55),(25,61),(25,67),(25,92),(25,96),(26,40),(26,56),(26,57),(26,58),(26,112),(27,41),(27,59),(27,60),(27,61),(27,112),(28,42),(28,62),(28,63),(28,64),(28,112),(29,43),(29,65),(29,66),(29,67),(29,112),(30,37),(30,44),(30,47),(30,50),(30,53),(30,86),(31,38),(31,45),(31,48),(31,51),(31,54),(31,86),(32,39),(32,46),(32,49),(32,52),(32,55),(32,86),(33,40),(33,41),(33,44),(33,45),(33,46),(33,84),(34,42),(34,43),(34,47),(34,48),(34,49),(34,84),(35,40),(35,42),(35,50),(35,51),(35,52),(35,85),(36,41),(36,43),(36,53),(36,54),(36,55),(36,85),(37,101),(37,104),(37,111),(38,102),(38,105),(38,111),(39,103),(39,106),(39,111),(40,72),(40,73),(40,74),(40,124),(41,75),(41,76),(41,77),(41,124),(42,78),(42,79),(42,80),(42,124),(43,81),(43,82),(43,83),(43,124),(44,72),(44,75),(44,101),(44,107),(45,73),(45,76),(45,102),(45,107),(46,74),(46,77),(46,103),(46,107),(47,78),(47,81),(47,101),(47,108),(48,79),(48,82),(48,102),(48,108),(49,80),(49,83),(49,103),(49,108),(50,72),(50,78),(50,104),(50,109),(51,73),(51,79),(51,105),(51,109),(52,74),(52,80),(52,106),(52,109),(53,75),(53,81),(53,104),(53,110),(54,76),(54,82),(54,105),(54,110),(55,77),(55,83),(55,106),(55,110),(56,72),(56,97),(56,119),(57,73),(57,97),(57,120),(58,74),(58,97),(58,121),(59,75),(59,98),(59,119),(60,76),(60,98),(60,120),(61,77),(61,98),(61,121),(62,78),(62,99),(62,119),(63,79),(63,99),(63,120),(64,80),(64,99),(64,121),(65,81),(65,100),(65,119),(66,82),(66,100),(66,120),(67,83),(67,100),(67,121),(68,85),(68,90),(68,91),(68,92),(68,112),(69,84),(69,87),(69,88),(69,89),(69,112),(70,71),(70,86),(70,93),(70,94),(70,95),(70,96),(71,111),(71,113),(71,114),(72,115),(72,125),(73,115),(73,126),(74,115),(74,127),(75,116),(75,125),(76,116),(76,126),(77,116),(77,127),(78,117),(78,125),(79,117),(79,126),(80,117),(80,127),(81,118),(81,125),(82,118),(82,126),(83,118),(83,127),(84,101),(84,102),(84,103),(84,124),(85,104),(85,105),(85,106),(85,124),(86,107),(86,108),(86,109),(86,110),(86,111),(87,101),(87,113),(87,119),(88,102),(88,113),(88,120),(89,103),(89,113),(89,121),(90,104),(90,114),(90,119),(91,105),(91,114),(91,120),(92,106),(92,114),(92,121),(93,97),(93,98),(93,107),(93,113),(94,99),(94,100),(94,108),(94,113),(95,97),(95,99),(95,109),(95,114),(96,98),(96,100),(96,110),(96,114),(97,115),(97,128),(98,116),(98,128),(99,117),(99,128),(100,118),(100,128),(101,122),(101,125),(102,122),(102,126),(103,122),(103,127),(104,123),(104,125),(105,123),(105,126),(106,123),(106,127),(107,115),(107,116),(107,122),(108,117),(108,118),(108,122),(109,115),(109,117),(109,123),(110,116),(110,118),(110,123),(111,122),(111,123),(112,119),(112,120),(112,121),(112,124),(113,122),(113,128),(114,123),(114,128),(115,129),(116,129),(117,129),(118,129),(119,125),(119,128),(120,126),(120,128),(121,127),(121,128),(122,129),(123,129),(124,125),(124,126),(124,127),(125,129),(126,129),(127,129),(128,129)],130) 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click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Sends a graph to the lattice of its connected vertex partitions.
A connected vertex partition of a graph $G = (V,E)$ is a set partition of $V$ such that each part induced a connected subgraph of $G$. The connected vertex partitions of $G$ form a lattice under refinement. If $G = K_n$ is a complete graph, the resulting lattice is the lattice of set partitions on $n$ elements.
In the language of matroid theory, this map sends a graph to the lattice of flats of its graphic matroid. The resulting lattice is a geometric lattice, i.e. it is atomistic and semimodular.
References
[1] wikipedia:Graphic_matroid
[2] wikipedia:Geometric_lattice
Sage code
from sage.matroids.advanced import GraphicMatroid
def mapping(G):
    M = GraphicMatroid(G)
    L = M.lattice_of_flats()
    return L
Weight
51
Created
Jul 29, 2022 at 06:46 by Harry Richman
Updated
Jul 29, 2022 at 06:46 by Harry Richman