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Identifier

Mp00214: Semistandard tableaux —subcrystal⟶ Posets

Images

=>
            
              Cc0019;cc-rep-0Cc0014;cc-rep-1
            

            [[1]]=>([],1)
[[2]]=>([(0,1)],2)
[[3]]=>([(0,2),(2,1)],3)
[[4]]=>([(0,3),(2,1),(3,2)],4)
[[5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[6]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1]]=>([],1)
[[1,2]]=>([(0,1)],2)
[[2,2]]=>([(0,2),(2,1)],3)
[[1],[2]]=>([],1)
[[1,3]]=>([(0,2),(2,1)],3)
[[2,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1],[3]]=>([(0,1)],2)
[[2],[3]]=>([(0,2),(2,1)],3)
[[1,4]]=>([(0,3),(2,1),(3,2)],4)
[[2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[3,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1],[4]]=>([(0,2),(2,1)],3)
[[2],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[2,5]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[3,5]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[4,5]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[5,5]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1],[5]]=>([(0,3),(2,1),(3,2)],4)
[[2],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[3],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,6]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,6]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[3,6]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[4,6]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[5,6]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[6,6]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1],[6]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[2],[6]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[3],[6]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[4],[6]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[5],[6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,7]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,7]]=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
[[3,7]]=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
[[4,7]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,16),(5,6),(5,16),(6,9),(6,17),(7,11),(8,7),(8,18),(9,8),(9,20),(11,12),(12,10),(13,10),(14,13),(15,3),(15,19),(16,2),(16,17),(17,15),(17,20),(18,11),(18,21),(19,14),(19,21),(20,18),(20,19),(21,12),(21,13)],22)
[[5,7]]=>([(0,1),(1,5),(1,6),(2,17),(3,15),(4,16),(5,18),(6,8),(6,18),(7,13),(8,10),(8,19),(9,7),(9,20),(10,9),(10,23),(12,14),(13,12),(14,11),(15,11),(16,3),(16,21),(17,4),(17,22),(18,2),(18,19),(19,17),(19,23),(20,13),(20,24),(21,14),(21,15),(22,16),(22,24),(23,20),(23,22),(24,12),(24,21)],25)
[[6,7]]=>([(0,1),(1,6),(1,7),(2,19),(3,17),(4,18),(5,12),(6,20),(7,9),(7,20),(8,15),(9,11),(9,21),(10,8),(10,22),(11,10),(11,25),(13,14),(14,16),(15,13),(16,12),(17,5),(17,16),(18,3),(18,23),(19,4),(19,24),(20,2),(20,21),(21,19),(21,25),(22,15),(22,26),(23,14),(23,17),(24,18),(24,26),(25,22),(25,24),(26,13),(26,23)],27)
[[7,7]]=>([(0,2),(2,6),(2,7),(3,20),(4,18),(5,19),(6,21),(7,10),(7,21),(8,13),(9,16),(10,12),(10,22),(11,9),(11,23),(12,11),(12,26),(13,1),(14,15),(15,17),(16,14),(17,13),(18,8),(18,17),(19,4),(19,24),(20,5),(20,25),(21,3),(21,22),(22,20),(22,26),(23,16),(23,27),(24,15),(24,18),(25,19),(25,27),(26,23),(26,25),(27,14),(27,24)],28)
[[1],[7]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2],[7]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[3],[7]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[4],[7]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[5],[7]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[6],[7]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,8]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[2,8]]=>([(0,8),(1,9),(2,10),(3,6),(3,9),(4,5),(4,12),(5,7),(5,11),(6,4),(6,14),(7,2),(7,13),(8,1),(8,3),(9,14),(11,13),(12,11),(13,10),(14,12)],15)
[[3,8]]=>([(0,1),(1,3),(1,4),(2,14),(3,11),(4,6),(4,11),(5,16),(6,8),(6,17),(7,9),(7,19),(8,7),(8,20),(9,5),(9,18),(11,2),(11,17),(12,13),(13,15),(14,12),(15,10),(16,10),(17,14),(17,20),(18,15),(18,16),(19,13),(19,18),(20,12),(20,19)],21)
[[4,8]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,13),(5,7),(5,13),(6,18),(7,9),(7,22),(8,10),(8,24),(9,8),(9,25),(10,6),(10,23),(12,16),(13,2),(13,22),(14,12),(15,3),(15,19),(16,11),(17,11),(18,17),(19,14),(19,21),(20,16),(20,17),(21,12),(21,20),(22,15),(22,25),(23,18),(23,20),(24,21),(24,23),(25,19),(25,24)],26)
[[5,8]]=>([(0,1),(1,5),(1,6),(2,19),(3,17),(4,18),(5,20),(6,7),(6,20),(7,10),(7,24),(8,11),(8,29),(9,8),(9,28),(10,9),(10,27),(11,13),(13,14),(14,15),(15,12),(16,12),(17,16),(18,3),(18,25),(19,4),(19,26),(20,2),(20,24),(21,22),(21,25),(22,14),(22,23),(23,15),(23,16),(24,19),(24,27),(25,17),(25,23),(26,18),(26,21),(27,26),(27,28),(28,21),(28,29),(29,13),(29,22)],30)
[[6,8]]=>([(0,1),(1,6),(1,7),(2,21),(3,18),(4,19),(5,20),(6,22),(7,8),(7,22),(8,12),(8,25),(9,14),(10,11),(10,30),(11,9),(11,31),(12,10),(12,29),(14,16),(15,17),(16,15),(17,13),(18,13),(19,3),(19,26),(20,4),(20,28),(21,5),(21,27),(22,2),(22,25),(23,24),(23,28),(24,16),(24,32),(25,21),(25,29),(26,17),(26,18),(27,20),(27,23),(28,19),(28,32),(29,27),(29,30),(30,23),(30,31),(31,14),(31,24),(32,15),(32,26)],33)
[[7,8]]=>([(0,1),(1,7),(1,8),(2,23),(3,20),(4,22),(5,21),(6,14),(7,24),(8,9),(8,24),(9,11),(9,25),(10,15),(11,13),(11,31),(12,10),(12,29),(13,12),(13,30),(15,16),(16,17),(17,18),(18,19),(19,14),(20,6),(20,19),(21,4),(21,28),(22,3),(22,26),(23,5),(23,27),(24,2),(24,25),(25,23),(25,31),(26,18),(26,20),(27,21),(27,34),(28,22),(28,33),(29,15),(29,32),(30,29),(30,34),(31,27),(31,30),(32,16),(32,33),(33,17),(33,26),(34,28),(34,32)],35)
[[8,8]]=>([(0,2),(2,7),(2,8),(3,24),(4,21),(5,23),(6,22),(7,25),(8,10),(8,25),(9,15),(10,12),(10,26),(11,16),(12,14),(12,32),(13,11),(13,30),(14,13),(14,31),(15,1),(16,17),(17,18),(18,19),(19,20),(20,15),(21,9),(21,20),(22,5),(22,29),(23,4),(23,27),(24,6),(24,28),(25,3),(25,26),(26,24),(26,32),(27,19),(27,21),(28,22),(28,35),(29,23),(29,34),(30,16),(30,33),(31,30),(31,35),(32,28),(32,31),(33,17),(33,34),(34,18),(34,27),(35,29),(35,33)],36)
[[1],[8]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2],[8]]=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
[[3],[8]]=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
[[4],[8]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,16),(5,6),(5,16),(6,9),(6,17),(7,11),(8,7),(8,18),(9,8),(9,20),(11,12),(12,10),(13,10),(14,13),(15,3),(15,19),(16,2),(16,17),(17,15),(17,20),(18,11),(18,21),(19,14),(19,21),(20,18),(20,19),(21,12),(21,13)],22)
[[5],[8]]=>([(0,1),(1,5),(1,6),(2,17),(3,15),(4,16),(5,18),(6,8),(6,18),(7,13),(8,10),(8,19),(9,7),(9,20),(10,9),(10,23),(12,14),(13,12),(14,11),(15,11),(16,3),(16,21),(17,4),(17,22),(18,2),(18,19),(19,17),(19,23),(20,13),(20,24),(21,14),(21,15),(22,16),(22,24),(23,20),(23,22),(24,12),(24,21)],25)
[[6],[8]]=>([(0,1),(1,6),(1,7),(2,19),(3,17),(4,18),(5,12),(6,20),(7,9),(7,20),(8,15),(9,11),(9,21),(10,8),(10,22),(11,10),(11,25),(13,14),(14,16),(15,13),(16,12),(17,5),(17,16),(18,3),(18,23),(19,4),(19,24),(20,2),(20,21),(21,19),(21,25),(22,15),(22,26),(23,14),(23,17),(24,18),(24,26),(25,22),(25,24),(26,13),(26,23)],27)
[[7],[8]]=>([(0,2),(2,6),(2,7),(3,20),(4,18),(5,19),(6,21),(7,10),(7,21),(8,13),(9,16),(10,12),(10,22),(11,9),(11,23),(12,11),(12,26),(13,1),(14,15),(15,17),(16,14),(17,13),(18,8),(18,17),(19,4),(19,24),(20,5),(20,25),(21,3),(21,22),(22,20),(22,26),(23,16),(23,27),(24,15),(24,18),(25,19),(25,27),(26,23),(26,25),(27,14),(27,24)],28)
[[1,1,1]]=>([],1)
[[1,1,2]]=>([(0,1)],2)
[[1,2,2]]=>([(0,2),(2,1)],3)
[[2,2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1],[2]]=>([],1)
[[1,2],[2]]=>([(0,1)],2)
[[1,1,3]]=>([(0,2),(2,1)],3)
[[1,2,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[2,2,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[2,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1],[3]]=>([(0,1)],2)
[[1,2],[3]]=>([(0,2),(2,1)],3)
[[1,3],[2]]=>([(0,2),(2,1)],3)
[[1,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[2,2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1],[2],[3]]=>([],1)
[[1,1,4]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,3,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[2,2,4]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[2,3,4]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[2,4,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[3,3,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[3,4,4]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[4,4,4]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,1],[4]]=>([(0,2),(2,1)],3)
[[1,2],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,4],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,4],[3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,4],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[2,2],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[2,3],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[2,4],[3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[2,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[3,3],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1],[2],[4]]=>([(0,1)],2)
[[1],[3],[4]]=>([(0,2),(2,1)],3)
[[2],[3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,5]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,3,5]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,4,5]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,5,5]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[2,2,5]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[2,3,5]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[2,4,5]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[2,5,5]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[3,3,5]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[3,4,5]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[3,5,5]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[4,4,5]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[4,5,5]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[5,5,5]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,1],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,2],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,5],[2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,5],[3]]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[[1,4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,5],[4]]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
[[1,5],[5]]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
[[2,2],[5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[2,3],[5]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[2,5],[3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[2,4],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[2,5],[4]]=>([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18)
[[2,5],[5]]=>([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20)
[[3,3],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[3,4],[5]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[3,5],[4]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[3,5],[5]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29)
[[4,4],[5]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[4,5],[5]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1],[2],[5]]=>([(0,2),(2,1)],3)
[[1],[3],[5]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1],[4],[5]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[2],[3],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[2],[4],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[3],[4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,6]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,6]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,3,6]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,4,6]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,5,6]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,6,6]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[2,2,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
[[2,3,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,5),(3,16),(4,18),(5,17),(6,4),(6,20),(7,6),(7,19),(8,9),(8,13),(9,21),(10,22),(11,22),(12,14),(12,21),(13,15),(13,21),(14,10),(14,23),(15,11),(15,23),(16,8),(16,17),(16,19),(17,9),(17,12),(18,10),(18,11),(19,12),(19,13),(19,20),(20,14),(20,15),(20,18),(21,23),(23,22)],24)
[[2,4,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,19),(3,6),(3,19),(4,21),(5,22),(6,7),(6,24),(7,4),(7,23),(8,13),(8,18),(9,11),(9,15),(10,29),(11,25),(12,26),(13,27),(14,16),(14,25),(15,8),(15,20),(15,25),(16,12),(16,28),(17,10),(17,26),(18,10),(18,27),(19,9),(19,22),(19,24),(20,17),(20,18),(20,28),(21,12),(21,17),(22,11),(22,14),(23,16),(23,20),(23,21),(24,14),(24,15),(24,23),(25,13),(25,28),(26,29),(27,29),(28,26),(28,27)],30)
[[2,5,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,6),(3,22),(4,25),(5,24),(6,7),(6,27),(7,4),(7,26),(8,15),(8,21),(9,13),(9,14),(10,11),(10,18),(11,28),(12,31),(13,29),(14,29),(15,30),(16,13),(16,33),(17,20),(17,28),(18,8),(18,23),(18,28),(19,16),(19,31),(20,12),(20,32),(21,9),(21,16),(21,30),(22,10),(22,24),(22,27),(23,19),(23,21),(23,32),(24,11),(24,17),(25,12),(25,19),(26,20),(26,23),(26,25),(27,17),(27,18),(27,26),(28,15),(28,32),(30,14),(30,33),(31,33),(32,30),(32,31),(33,29)],34)
[[2,6,6]]=>([(0,1),(1,3),(1,4),(2,12),(3,6),(3,25),(4,7),(4,25),(5,26),(6,27),(7,8),(7,29),(8,5),(8,28),(9,13),(9,14),(10,15),(10,20),(11,16),(11,21),(13,35),(14,2),(14,35),(15,33),(16,34),(17,32),(18,19),(18,33),(19,17),(19,30),(20,11),(20,24),(20,33),(21,9),(21,22),(21,34),(22,14),(22,31),(23,22),(23,32),(24,21),(24,23),(24,30),(25,10),(25,27),(25,29),(26,17),(26,23),(27,15),(27,18),(28,19),(28,24),(28,26),(29,18),(29,20),(29,28),(30,32),(30,34),(31,35),(32,31),(33,16),(33,30),(34,13),(34,31),(35,12)],36)
[[3,3,6]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,20),(4,6),(4,20),(5,22),(6,21),(7,5),(7,24),(8,7),(8,23),(9,13),(9,17),(10,25),(11,25),(13,2),(13,26),(14,10),(14,27),(15,11),(15,27),(16,15),(16,26),(17,14),(17,26),(18,19),(19,12),(20,9),(20,21),(20,23),(21,13),(21,16),(22,10),(22,11),(23,16),(23,17),(23,24),(24,14),(24,15),(24,22),(25,12),(26,18),(26,27),(27,19),(27,25)],28)
[[3,4,6]]=>([(0,1),(1,3),(1,4),(2,24),(3,6),(3,25),(4,8),(4,25),(5,27),(6,26),(7,5),(7,29),(8,7),(8,28),(9,13),(9,19),(10,21),(10,22),(11,34),(12,32),(13,2),(13,35),(14,31),(15,33),(16,14),(16,36),(17,15),(17,32),(18,16),(18,35),(19,10),(19,23),(19,35),(20,11),(20,31),(21,12),(21,30),(22,11),(22,30),(23,20),(23,22),(23,36),(24,12),(24,17),(25,9),(25,26),(25,28),(26,13),(26,18),(27,14),(27,20),(28,18),(28,19),(28,29),(29,16),(29,23),(29,27),(30,32),(30,34),(31,15),(31,34),(32,33),(34,33),(35,21),(35,24),(35,36),(36,17),(36,30),(36,31)],37)
[[3,5,6]]=>([(0,1),(1,3),(1,4),(2,28),(3,6),(3,29),(4,8),(4,29),(5,30),(6,31),(7,5),(7,33),(8,7),(8,32),(9,21),(9,24),(10,12),(10,22),(11,13),(11,23),(12,37),(13,2),(13,40),(14,34),(15,35),(16,39),(17,38),(18,14),(18,42),(19,18),(19,40),(20,12),(20,36),(21,15),(21,41),(22,17),(22,37),(23,9),(23,27),(23,40),(24,10),(24,20),(24,41),(25,16),(25,35),(26,20),(26,34),(27,24),(27,26),(27,42),(28,15),(28,25),(29,11),(29,31),(29,32),(30,14),(30,26),(31,13),(31,19),(32,19),(32,23),(32,33),(33,18),(33,27),(33,30),(34,16),(34,36),(35,17),(35,39),(36,37),(36,39),(37,38),(39,38),(40,21),(40,28),(40,42),(41,22),(41,35),(41,36),(42,25),(42,34),(42,41)],43)
[[3,6,6]]=>([(0,1),(1,4),(1,5),(2,33),(3,29),(4,7),(4,34),(5,8),(5,34),(6,9),(6,36),(7,6),(7,35),(8,32),(9,30),(10,23),(10,26),(11,18),(11,24),(12,19),(12,25),(13,38),(14,37),(15,40),(16,41),(18,3),(18,43),(19,2),(19,42),(20,14),(20,45),(21,18),(21,39),(22,20),(22,42),(23,13),(23,44),(24,15),(24,43),(25,10),(25,31),(25,42),(26,11),(26,21),(26,44),(27,21),(27,37),(28,16),(28,38),(29,17),(30,14),(30,27),(31,26),(31,27),(31,45),(32,19),(32,22),(33,13),(33,28),(34,12),(34,32),(34,35),(35,22),(35,25),(35,36),(36,20),(36,30),(36,31),(37,16),(37,39),(38,15),(38,41),(39,41),(39,43),(40,17),(41,40),(42,23),(42,33),(42,45),(43,29),(43,40),(44,24),(44,38),(44,39),(45,28),(45,37),(45,44)],46)
[[4,4,6]]=>([(0,1),(1,4),(1,5),(2,29),(3,25),(4,7),(4,30),(5,8),(5,30),(6,9),(6,32),(7,6),(7,31),(8,28),(9,27),(10,23),(10,24),(11,17),(11,21),(12,36),(13,34),(14,35),(16,3),(16,39),(17,2),(17,37),(18,13),(18,38),(19,14),(19,39),(20,18),(20,37),(21,10),(21,26),(21,37),(22,12),(22,34),(23,16),(23,33),(24,12),(24,33),(25,15),(26,22),(26,24),(26,38),(27,13),(27,22),(28,17),(28,20),(29,16),(29,19),(30,11),(30,28),(30,31),(31,20),(31,21),(31,32),(32,18),(32,26),(32,27),(33,36),(33,39),(34,14),(34,36),(35,15),(36,35),(37,23),(37,29),(37,38),(38,19),(38,33),(38,34),(39,25),(39,35)],40)
[[4,5,6]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[4,6,6]]=>([(0,1),(1,5),(1,6),(2,38),(3,37),(4,33),(5,9),(5,39),(6,10),(6,39),(7,8),(7,41),(8,35),(9,7),(9,40),(10,34),(11,27),(11,32),(12,19),(12,29),(13,20),(13,25),(14,45),(15,44),(17,43),(18,44),(19,4),(19,47),(20,3),(20,46),(21,2),(21,48),(22,23),(22,43),(23,19),(23,42),(24,26),(24,46),(25,11),(25,36),(25,46),(26,17),(26,50),(27,12),(27,23),(27,51),(28,16),(29,30),(29,47),(30,18),(30,49),(31,14),(31,48),(32,21),(32,51),(33,28),(34,20),(34,24),(35,17),(35,22),(36,22),(36,27),(36,50),(37,21),(37,31),(38,15),(38,18),(39,13),(39,34),(39,40),(40,24),(40,25),(40,41),(41,26),(41,35),(41,36),(42,45),(42,47),(43,14),(43,42),(44,16),(45,15),(45,49),(46,32),(46,37),(46,50),(47,33),(47,49),(48,30),(48,38),(48,45),(49,28),(49,44),(50,31),(50,43),(50,51),(51,29),(51,42),(51,48)],52)
[[5,5,6]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,21),(5,9),(5,37),(6,10),(6,37),(7,8),(7,39),(8,34),(9,7),(9,38),(10,33),(11,27),(11,29),(12,15),(12,31),(13,19),(13,28),(14,40),(15,41),(16,42),(17,43),(18,3),(18,49),(19,2),(19,46),(20,4),(20,43),(22,20),(22,45),(23,16),(23,49),(24,30),(24,40),(25,26),(25,46),(26,14),(26,48),(27,18),(27,47),(28,11),(28,32),(28,46),(29,12),(29,30),(29,47),(30,15),(30,44),(31,22),(31,41),(32,24),(32,29),(32,48),(33,19),(33,25),(34,14),(34,24),(35,17),(35,20),(36,18),(36,23),(37,13),(37,33),(37,38),(38,25),(38,28),(38,39),(39,26),(39,32),(39,34),(40,16),(40,44),(41,45),(42,17),(42,45),(43,21),(44,41),(44,42),(45,43),(46,27),(46,36),(46,48),(47,31),(47,44),(47,49),(48,23),(48,40),(48,47),(49,22),(49,35),(49,42)],50)
[[5,6,6]]=>([(0,1),(1,6),(1,7),(2,41),(3,36),(4,40),(5,35),(6,10),(6,42),(7,11),(7,42),(8,9),(8,44),(9,38),(10,8),(10,43),(11,37),(12,29),(12,34),(13,20),(13,31),(14,21),(14,27),(15,47),(16,46),(18,54),(19,5),(19,54),(20,3),(20,49),(21,4),(21,48),(22,2),(22,50),(23,24),(23,46),(24,20),(24,45),(25,28),(25,48),(26,17),(27,12),(27,39),(27,48),(28,16),(28,52),(29,13),(29,24),(29,53),(30,26),(31,32),(31,49),(32,19),(32,51),(33,15),(33,50),(34,22),(34,53),(35,17),(36,30),(37,21),(37,25),(38,16),(38,23),(39,23),(39,29),(39,52),(40,22),(40,33),(41,18),(41,19),(42,14),(42,37),(42,43),(43,25),(43,27),(43,44),(44,28),(44,38),(44,39),(45,47),(45,49),(46,15),(46,45),(47,18),(47,51),(48,34),(48,40),(48,52),(49,36),(49,51),(50,32),(50,41),(50,47),(51,30),(51,54),(52,33),(52,46),(52,53),(53,31),(53,45),(53,50),(54,26),(54,35)],55)
[[6,6,6]]=>([(0,2),(2,7),(2,8),(3,42),(4,37),(5,41),(6,36),(7,11),(7,43),(8,12),(8,43),(9,10),(9,45),(10,39),(11,9),(11,44),(12,38),(13,30),(13,35),(14,21),(14,32),(15,22),(15,28),(16,48),(17,47),(18,55),(19,1),(20,6),(20,55),(21,4),(21,50),(22,5),(22,49),(23,3),(23,51),(24,26),(24,47),(25,19),(26,21),(26,46),(27,29),(27,49),(28,13),(28,40),(28,49),(29,17),(29,53),(30,14),(30,26),(30,54),(31,25),(32,33),(32,50),(33,20),(33,52),(34,16),(34,51),(35,23),(35,54),(36,19),(37,31),(38,22),(38,27),(39,17),(39,24),(40,24),(40,30),(40,53),(41,23),(41,34),(42,18),(42,20),(43,15),(43,38),(43,44),(44,27),(44,28),(44,45),(45,29),(45,39),(45,40),(46,48),(46,50),(47,16),(47,46),(48,18),(48,52),(49,35),(49,41),(49,53),(50,37),(50,52),(51,33),(51,42),(51,48),(52,31),(52,55),(53,34),(53,47),(53,54),(54,32),(54,46),(54,51),(55,25),(55,36)],56)
[[1,1],[6]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2],[6]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,6],[2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3],[6]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,6],[3]]=>([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10)
[[1,4],[6]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,6],[4]]=>([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13)
[[1,5],[6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,6],[5]]=>([(0,7),(1,14),(2,13),(3,10),(4,12),(5,6),(5,13),(6,4),(6,9),(7,8),(8,2),(8,5),(9,12),(9,14),(11,10),(12,11),(13,1),(13,9),(14,3),(14,11)],15)
[[1,6],[6]]=>([(0,8),(1,15),(3,14),(4,13),(5,12),(6,7),(6,13),(7,5),(7,10),(8,9),(9,4),(9,6),(10,12),(10,14),(11,15),(12,11),(13,3),(13,10),(14,1),(14,11),(15,2)],16)
[[2,2],[6]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[2,3],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[2,6],[3]]=>([(0,7),(0,8),(1,13),(2,11),(3,10),(3,11),(4,5),(4,10),(5,1),(5,12),(6,2),(7,6),(8,9),(9,3),(9,4),(10,12),(10,16),(11,16),(12,13),(12,15),(13,14),(15,14),(16,15)],17)
[[2,4],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[2,6],[4]]=>([(0,8),(0,9),(1,11),(2,11),(2,12),(3,13),(4,14),(4,15),(5,7),(5,12),(6,1),(7,3),(7,16),(8,6),(9,10),(10,2),(10,5),(11,20),(12,4),(12,16),(12,20),(13,18),(13,19),(14,22),(15,18),(15,22),(16,13),(16,15),(16,17),(17,19),(17,22),(18,21),(19,21),(20,14),(20,17),(22,21)],23)
[[2,5],[6]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[2,6],[5]]=>([(0,3),(0,4),(1,8),(1,11),(2,7),(3,1),(4,2),(5,6),(5,23),(6,20),(7,16),(8,5),(8,22),(9,13),(9,18),(10,12),(10,14),(11,16),(11,22),(12,25),(13,26),(14,25),(15,24),(16,21),(17,15),(17,26),(18,10),(18,19),(18,26),(19,12),(19,24),(20,15),(20,19),(21,13),(21,17),(22,9),(22,21),(22,23),(23,17),(23,18),(23,20),(24,25),(26,14),(26,24)],27)
[[2,6],[6]]=>([(0,3),(0,4),(1,6),(2,7),(2,12),(3,1),(4,2),(5,17),(6,21),(7,8),(7,24),(8,9),(8,25),(9,22),(10,15),(10,16),(11,14),(11,20),(12,21),(12,24),(13,26),(14,28),(15,27),(16,5),(16,27),(18,16),(18,26),(19,13),(19,28),(20,10),(20,18),(20,28),(21,23),(22,13),(22,18),(23,14),(23,19),(24,11),(24,23),(24,25),(25,19),(25,20),(25,22),(26,27),(27,17),(28,15),(28,26)],29)
[[3,3],[6]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[3,4],[6]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[3,6],[4]]=>([(0,2),(0,3),(1,8),(1,12),(2,1),(3,4),(3,7),(4,25),(5,17),(6,24),(7,13),(7,25),(8,10),(8,28),(9,27),(10,9),(10,29),(11,22),(11,23),(12,21),(12,28),(13,18),(13,21),(14,30),(15,30),(17,6),(18,17),(19,16),(20,15),(20,31),(21,26),(22,24),(22,31),(23,14),(23,31),(24,19),(25,5),(25,18),(26,20),(26,22),(27,14),(27,15),(28,11),(28,26),(28,29),(29,20),(29,23),(29,27),(30,16),(31,19),(31,30)],32)
[[3,5],[6]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[3,6],[5]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,7),(4,28),(5,19),(6,27),(7,14),(7,28),(8,9),(8,32),(9,10),(9,33),(10,30),(11,17),(11,26),(12,24),(12,25),(13,23),(13,32),(14,20),(14,23),(15,34),(16,35),(17,36),(18,35),(19,6),(20,19),(21,17),(21,34),(22,15),(22,37),(23,29),(24,27),(24,37),(25,11),(25,21),(25,37),(26,16),(26,36),(27,31),(28,5),(28,20),(29,22),(29,24),(30,15),(30,21),(31,16),(31,18),(32,12),(32,29),(32,33),(33,22),(33,25),(33,30),(34,18),(34,36),(36,35),(37,26),(37,31),(37,34)],38)
[[3,6],[6]]=>([(0,2),(0,3),(1,9),(1,14),(2,1),(3,4),(3,8),(4,31),(5,29),(6,21),(7,30),(8,15),(8,31),(9,10),(9,35),(10,11),(10,36),(11,34),(12,20),(12,26),(13,25),(13,27),(14,24),(14,35),(15,22),(15,24),(16,37),(17,38),(19,37),(20,5),(20,40),(21,7),(22,21),(23,17),(23,39),(24,32),(25,30),(25,39),(26,16),(26,40),(27,12),(27,28),(27,39),(28,20),(28,38),(29,18),(30,33),(31,6),(31,22),(32,23),(32,25),(33,16),(33,19),(34,17),(34,28),(35,13),(35,32),(35,36),(36,23),(36,27),(36,34),(37,18),(38,19),(38,40),(39,26),(39,33),(39,38),(40,29),(40,37)],41)
[[4,4],[6]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[4,5],[6]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[4,6],[5]]=>([(0,2),(0,3),(1,8),(1,16),(2,1),(3,6),(3,7),(4,36),(5,35),(6,17),(6,43),(7,10),(7,43),(8,9),(8,42),(9,11),(9,44),(10,40),(11,41),(12,28),(12,30),(13,21),(13,34),(14,20),(14,25),(15,31),(15,32),(16,29),(16,42),(17,29),(17,39),(18,45),(19,49),(20,12),(20,49),(21,47),(23,46),(24,5),(25,4),(25,49),(26,21),(26,45),(27,18),(27,48),(28,38),(29,37),(30,24),(31,28),(31,48),(32,13),(32,26),(32,48),(33,35),(33,46),(34,33),(34,47),(35,22),(36,24),(37,27),(37,31),(38,23),(38,33),(39,19),(39,20),(40,19),(40,25),(41,18),(41,26),(42,15),(42,37),(42,44),(43,14),(43,39),(43,40),(44,27),(44,32),(44,41),(45,23),(45,47),(46,22),(47,46),(48,34),(48,38),(48,45),(49,30),(49,36)],50)
[[4,6],[6]]=>([(0,2),(0,3),(1,9),(1,17),(2,1),(3,7),(3,8),(4,39),(5,40),(6,38),(7,18),(7,47),(8,11),(8,47),(9,10),(9,46),(10,12),(10,48),(11,43),(12,44),(13,31),(13,33),(14,26),(14,37),(15,23),(15,25),(16,35),(16,36),(17,32),(17,46),(18,32),(18,42),(20,53),(21,49),(22,52),(23,13),(23,52),(24,6),(25,4),(25,52),(26,5),(26,51),(27,38),(27,53),(28,26),(28,49),(29,19),(30,19),(31,45),(32,41),(33,24),(34,21),(34,50),(35,31),(35,50),(36,14),(36,28),(36,50),(37,27),(37,51),(38,30),(39,24),(40,29),(41,34),(41,35),(42,22),(42,23),(43,22),(43,25),(44,21),(44,28),(45,20),(45,27),(46,16),(46,41),(46,48),(47,15),(47,42),(47,43),(48,34),(48,36),(48,44),(49,20),(49,51),(50,37),(50,45),(50,49),(51,40),(51,53),(52,33),(52,39),(53,29),(53,30)],54)
[[5,5],[6]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[5,6],[6]]=>([(0,2),(0,3),(1,9),(1,20),(2,1),(3,4),(3,8),(4,12),(4,59),(5,50),(6,51),(7,31),(8,21),(8,59),(9,13),(9,58),(10,54),(11,55),(12,10),(12,60),(13,11),(13,61),(14,39),(14,41),(15,40),(15,57),(16,29),(16,48),(17,30),(17,49),(18,27),(18,46),(19,45),(19,47),(20,42),(20,58),(21,42),(21,53),(22,62),(23,63),(24,69),(25,68),(26,14),(26,69),(27,15),(27,64),(28,7),(29,5),(29,66),(30,6),(30,67),(32,31),(33,39),(33,68),(34,32),(35,32),(36,28),(37,29),(37,62),(38,30),(38,63),(39,34),(40,56),(41,28),(42,52),(43,22),(43,65),(44,23),(44,64),(45,40),(45,65),(46,17),(46,38),(46,64),(47,16),(47,37),(47,65),(48,33),(48,66),(49,26),(49,67),(50,35),(51,36),(52,43),(52,45),(53,27),(53,44),(54,23),(54,38),(55,22),(55,37),(56,25),(56,33),(57,24),(57,26),(58,19),(58,52),(58,61),(59,18),(59,53),(59,60),(60,44),(60,46),(60,54),(61,43),(61,47),(61,55),(62,25),(62,66),(63,24),(63,67),(64,49),(64,57),(64,63),(65,48),(65,56),(65,62),(66,50),(66,68),(67,51),(67,69),(68,34),(68,35),(69,36),(69,41)],70)
[[1],[2],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1],[3],[6]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1],[4],[6]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1],[5],[6]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[2],[3],[6]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[2],[4],[6]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[2],[5],[6]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[3],[4],[6]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[3],[5],[6]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[4],[5],[6]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,1,7]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,7]]=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
[[1,3,7]]=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
[[1,4,7]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,16),(5,6),(5,16),(6,9),(6,17),(7,11),(8,7),(8,18),(9,8),(9,20),(11,12),(12,10),(13,10),(14,13),(15,3),(15,19),(16,2),(16,17),(17,15),(17,20),(18,11),(18,21),(19,14),(19,21),(20,18),(20,19),(21,12),(21,13)],22)
[[1,5,7]]=>([(0,1),(1,5),(1,6),(2,17),(3,15),(4,16),(5,18),(6,8),(6,18),(7,13),(8,10),(8,19),(9,7),(9,20),(10,9),(10,23),(12,14),(13,12),(14,11),(15,11),(16,3),(16,21),(17,4),(17,22),(18,2),(18,19),(19,17),(19,23),(20,13),(20,24),(21,14),(21,15),(22,16),(22,24),(23,20),(23,22),(24,12),(24,21)],25)
[[1,6,7]]=>([(0,1),(1,6),(1,7),(2,19),(3,17),(4,18),(5,12),(6,20),(7,9),(7,20),(8,15),(9,11),(9,21),(10,8),(10,22),(11,10),(11,25),(13,14),(14,16),(15,13),(16,12),(17,5),(17,16),(18,3),(18,23),(19,4),(19,24),(20,2),(20,21),(21,19),(21,25),(22,15),(22,26),(23,14),(23,17),(24,18),(24,26),(25,22),(25,24),(26,13),(26,23)],27)
[[1,7,7]]=>([(0,2),(2,6),(2,7),(3,20),(4,18),(5,19),(6,21),(7,10),(7,21),(8,13),(9,16),(10,12),(10,22),(11,9),(11,23),(12,11),(12,26),(13,1),(14,15),(15,17),(16,14),(17,13),(18,8),(18,17),(19,4),(19,24),(20,5),(20,25),(21,3),(21,22),(22,20),(22,26),(23,16),(23,27),(24,15),(24,18),(25,19),(25,27),(26,23),(26,25),(27,14),(27,24)],28)
[[2,2,7]]=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,6),(3,15),(4,14),(5,13),(6,7),(6,16),(7,8),(7,18),(8,4),(8,17),(10,12),(11,10),(12,9),(13,11),(14,9),(15,13),(15,16),(16,11),(16,18),(17,12),(17,14),(18,10),(18,17)],19)
[[2,3,7]]=>([(0,1),(1,2),(1,3),(2,6),(2,19),(3,5),(3,19),(4,21),(5,20),(6,7),(6,22),(7,8),(7,24),(8,4),(8,23),(9,10),(9,14),(10,25),(11,26),(12,26),(13,16),(13,25),(14,15),(14,25),(15,17),(15,28),(16,18),(16,28),(17,11),(17,27),(18,12),(18,27),(19,9),(19,20),(19,22),(20,10),(20,13),(21,11),(21,12),(22,13),(22,14),(22,24),(23,17),(23,18),(23,21),(24,15),(24,16),(24,23),(25,28),(27,26),(28,27)],29)
[[2,4,7]]=>([(0,1),(1,2),(1,3),(2,8),(2,22),(3,5),(3,22),(4,26),(5,25),(6,7),(6,29),(7,4),(7,27),(8,6),(8,28),(9,12),(9,17),(10,14),(10,21),(11,36),(12,30),(13,31),(14,32),(15,18),(15,30),(16,11),(16,35),(17,10),(17,23),(17,30),(18,19),(18,34),(19,13),(19,33),(20,11),(20,31),(21,16),(21,32),(22,9),(22,25),(22,28),(23,21),(23,24),(23,34),(24,16),(24,20),(24,33),(25,12),(25,15),(26,13),(26,20),(27,19),(27,24),(27,26),(28,15),(28,17),(28,29),(29,18),(29,23),(29,27),(30,14),(30,34),(31,36),(32,35),(33,31),(33,35),(34,32),(34,33),(35,36)],37)
[[2,5,7]]=>([(0,1),(1,2),(1,3),(2,5),(2,26),(3,6),(3,26),(4,30),(5,29),(6,7),(6,31),(7,8),(7,33),(8,4),(8,32),(9,13),(9,19),(10,15),(10,23),(11,16),(11,24),(12,41),(13,34),(14,35),(15,36),(16,37),(17,21),(17,34),(18,12),(18,40),(19,11),(19,27),(19,34),(20,18),(20,35),(21,22),(21,39),(22,14),(22,38),(23,12),(23,36),(24,10),(24,25),(24,37),(25,18),(25,23),(25,42),(26,9),(26,29),(26,31),(27,24),(27,28),(27,39),(28,20),(28,25),(28,38),(29,13),(29,17),(30,14),(30,20),(31,17),(31,19),(31,33),(32,22),(32,28),(32,30),(33,21),(33,27),(33,32),(34,16),(34,39),(35,40),(36,41),(37,15),(37,42),(38,35),(38,42),(39,37),(39,38),(40,41),(42,36),(42,40)],43)
[[2,6,7]]=>([(0,1),(1,2),(1,3),(2,5),(2,29),(3,6),(3,29),(4,33),(5,32),(6,7),(6,34),(7,8),(7,36),(8,4),(8,35),(9,13),(9,22),(10,16),(10,27),(11,18),(11,26),(12,15),(12,17),(13,37),(14,41),(15,38),(16,40),(17,38),(18,39),(19,15),(19,45),(20,24),(20,37),(21,19),(21,44),(22,11),(22,30),(22,37),(23,21),(23,41),(24,25),(24,43),(25,14),(25,42),(26,10),(26,28),(26,39),(27,12),(27,19),(27,40),(28,21),(28,27),(28,46),(29,9),(29,32),(29,34),(30,26),(30,31),(30,43),(31,23),(31,28),(31,42),(32,13),(32,20),(33,14),(33,23),(34,20),(34,22),(34,36),(35,25),(35,31),(35,33),(36,24),(36,30),(36,35),(37,18),(37,43),(39,16),(39,46),(40,17),(40,45),(41,44),(42,41),(42,46),(43,39),(43,42),(44,45),(45,38),(46,40),(46,44)],47)
[[2,7,7]]=>([(0,1),(1,3),(1,4),(2,17),(3,6),(3,31),(4,7),(4,31),(5,35),(6,34),(7,8),(7,36),(8,9),(8,38),(9,5),(9,37),(10,14),(10,24),(11,18),(11,29),(12,20),(12,28),(13,16),(13,19),(14,39),(15,40),(16,2),(16,41),(18,43),(19,41),(20,42),(21,16),(21,47),(22,26),(22,39),(23,21),(23,46),(24,12),(24,32),(24,39),(25,23),(25,40),(26,27),(26,45),(27,15),(27,44),(28,11),(28,30),(28,42),(29,13),(29,21),(29,43),(30,23),(30,29),(30,48),(31,10),(31,34),(31,36),(32,28),(32,33),(32,45),(33,25),(33,30),(33,44),(34,14),(34,22),(35,15),(35,25),(36,22),(36,24),(36,38),(37,27),(37,33),(37,35),(38,26),(38,32),(38,37),(39,20),(39,45),(40,46),(41,17),(42,18),(42,48),(43,19),(43,47),(44,40),(44,48),(45,42),(45,44),(46,47),(47,41),(48,43),(48,46)],49)
[[3,3,7]]=>([(0,1),(1,3),(1,4),(2,22),(3,7),(3,24),(4,6),(4,24),(5,26),(6,25),(7,8),(7,27),(8,9),(8,29),(9,5),(9,28),(10,14),(10,16),(11,30),(12,30),(14,2),(14,31),(15,18),(15,31),(16,17),(16,31),(17,19),(17,33),(18,20),(18,33),(19,11),(19,32),(20,12),(20,32),(21,23),(22,21),(23,13),(24,10),(24,25),(24,27),(25,14),(25,15),(26,11),(26,12),(27,15),(27,16),(27,29),(28,19),(28,20),(28,26),(29,17),(29,18),(29,28),(30,13),(31,22),(31,33),(32,23),(32,30),(33,21),(33,32)],34)
[[3,4,7]]=>([(0,1),(1,3),(1,4),(2,29),(3,9),(3,30),(4,6),(4,30),(5,32),(6,31),(7,8),(7,35),(8,5),(8,33),(9,7),(9,34),(10,23),(10,24),(11,14),(11,25),(12,37),(13,38),(14,2),(14,43),(15,41),(16,40),(17,22),(17,45),(18,26),(18,38),(19,17),(19,43),(20,15),(20,39),(21,15),(21,37),(22,12),(22,44),(23,20),(23,36),(24,13),(24,36),(25,10),(25,27),(25,43),(26,16),(26,42),(27,23),(27,28),(27,45),(28,20),(28,21),(28,44),(29,13),(29,18),(30,11),(30,31),(30,34),(31,14),(31,19),(32,12),(32,21),(33,22),(33,28),(33,32),(34,19),(34,25),(34,35),(35,17),(35,27),(35,33),(36,38),(36,39),(37,16),(37,41),(38,42),(39,41),(39,42),(41,40),(42,40),(43,24),(43,29),(43,45),(44,26),(44,37),(44,39),(45,18),(45,36),(45,44)],46)
[[3,5,7]]=>([(0,1),(1,3),(1,4),(2,34),(3,6),(3,35),(4,7),(4,35),(5,37),(6,36),(7,8),(7,38),(8,9),(8,40),(9,5),(9,39),(10,26),(10,28),(11,24),(11,25),(12,15),(12,27),(13,42),(14,41),(15,2),(15,51),(16,45),(17,47),(18,46),(19,29),(19,42),(20,21),(20,51),(21,23),(21,53),(22,30),(22,41),(23,14),(23,54),(24,17),(24,44),(25,16),(25,44),(26,13),(26,52),(27,10),(27,31),(27,51),(28,11),(28,32),(28,52),(29,18),(29,48),(30,16),(30,49),(31,28),(31,33),(31,53),(32,25),(32,30),(32,43),(33,22),(33,32),(33,54),(34,13),(34,19),(35,12),(35,36),(35,38),(36,15),(36,20),(37,14),(37,22),(38,20),(38,27),(38,40),(39,23),(39,33),(39,37),(40,21),(40,31),(40,39),(41,18),(41,49),(42,17),(42,48),(43,44),(43,48),(43,49),(44,45),(44,47),(45,50),(46,50),(47,50),(48,46),(48,47),(49,45),(49,46),(51,26),(51,34),(51,53),(52,24),(52,42),(52,43),(53,19),(53,52),(53,54),(54,29),(54,41),(54,43)],55)
[[3,6,7]]=>([(0,1),(1,3),(1,4),(2,38),(3,6),(3,39),(4,7),(4,39),(5,41),(6,40),(7,8),(7,42),(8,9),(8,44),(9,5),(9,43),(10,29),(10,32),(11,17),(11,30),(12,28),(12,31),(13,16),(13,27),(14,46),(15,45),(16,50),(17,2),(17,56),(18,49),(19,52),(20,51),(21,16),(21,48),(22,33),(22,46),(23,26),(23,58),(24,23),(24,56),(25,34),(25,45),(26,15),(26,60),(27,19),(27,50),(28,18),(28,57),(29,14),(29,59),(30,10),(30,35),(30,56),(31,13),(31,21),(31,57),(32,12),(32,36),(32,59),(33,20),(33,53),(34,21),(34,54),(35,32),(35,37),(35,58),(36,31),(36,34),(36,47),(37,25),(37,36),(37,60),(38,14),(38,22),(39,11),(39,40),(39,42),(40,17),(40,24),(41,15),(41,25),(42,24),(42,30),(42,44),(43,26),(43,37),(43,41),(44,23),(44,35),(44,43),(45,20),(45,54),(46,18),(46,53),(47,53),(47,54),(47,57),(48,50),(48,55),(49,19),(49,55),(50,52),(51,55),(53,49),(53,51),(54,48),(54,51),(55,52),(56,29),(56,38),(56,58),(57,27),(57,48),(57,49),(58,22),(58,59),(58,60),(59,28),(59,46),(59,47),(60,33),(60,45),(60,47)],61)
[[3,7,7]]=>([(0,1),(1,4),(1,5),(2,26),(3,39),(4,10),(4,41),(5,6),(5,41),(6,44),(7,43),(8,9),(8,47),(9,7),(9,46),(10,8),(10,45),(11,31),(11,33),(12,30),(12,35),(13,15),(13,34),(14,16),(14,32),(15,3),(15,60),(16,2),(16,59),(17,50),(18,49),(19,56),(21,51),(22,53),(23,28),(23,58),(24,29),(24,54),(25,19),(25,55),(26,20),(27,23),(27,60),(28,17),(28,61),(29,16),(29,52),(30,18),(30,62),(31,21),(31,63),(32,22),(32,59),(33,14),(33,29),(33,63),(34,12),(34,38),(34,60),(35,11),(35,42),(35,62),(36,25),(36,49),(37,24),(37,50),(38,35),(38,40),(38,58),(39,18),(39,36),(40,37),(40,42),(40,61),(41,13),(41,44),(41,45),(42,24),(42,33),(42,48),(43,17),(43,37),(44,15),(44,27),(45,27),(45,34),(45,47),(46,28),(46,40),(46,43),(47,23),(47,38),(47,46),(48,54),(48,55),(48,63),(49,21),(49,55),(50,19),(50,54),(51,22),(51,57),(52,57),(52,59),(53,20),(54,52),(54,56),(55,51),(55,56),(56,57),(57,53),(58,36),(58,61),(58,62),(59,26),(59,53),(60,30),(60,39),(60,58),(61,25),(61,48),(61,50),(62,31),(62,48),(62,49),(63,32),(63,51),(63,52)],64)
[[4,4,7]]=>([(0,1),(1,4),(1,5),(2,33),(3,21),(4,10),(4,34),(5,7),(5,34),(6,36),(7,35),(8,9),(8,39),(9,6),(9,37),(10,8),(10,38),(11,15),(11,27),(12,29),(12,30),(13,3),(13,49),(14,44),(15,2),(15,45),(16,41),(17,43),(19,24),(19,48),(20,22),(20,49),(21,23),(22,17),(22,46),(23,18),(24,16),(24,47),(25,19),(25,45),(26,14),(26,42),(27,12),(27,31),(27,45),(28,14),(28,41),(29,26),(29,40),(30,13),(30,40),(31,29),(31,32),(31,48),(32,26),(32,28),(32,47),(33,13),(33,20),(34,11),(34,35),(34,38),(35,15),(35,25),(36,16),(36,28),(37,24),(37,32),(37,36),(38,25),(38,27),(38,39),(39,19),(39,31),(39,37),(40,42),(40,49),(41,17),(41,44),(42,44),(42,46),(43,18),(44,43),(45,30),(45,33),(45,48),(46,23),(46,43),(47,22),(47,41),(47,42),(48,20),(48,40),(48,47),(49,21),(49,46)],50)
[[4,5,7]]=>([(0,1),(1,4),(1,5),(2,39),(3,36),(4,10),(4,40),(5,7),(5,40),(6,42),(7,41),(8,9),(8,45),(9,6),(9,43),(10,8),(10,44),(11,33),(11,34),(12,28),(12,30),(13,17),(13,29),(14,53),(15,3),(15,60),(16,46),(17,2),(17,56),(18,48),(19,52),(20,49),(21,26),(21,59),(22,23),(22,60),(23,20),(23,61),(24,21),(24,56),(25,27),(25,46),(26,16),(26,58),(27,14),(27,54),(28,15),(28,57),(29,12),(29,35),(29,56),(30,11),(30,37),(30,57),(31,18),(31,51),(32,19),(32,48),(33,31),(33,50),(34,14),(34,50),(35,30),(35,38),(35,59),(36,18),(36,32),(37,27),(37,34),(37,47),(38,25),(38,37),(38,58),(39,15),(39,22),(40,13),(40,41),(40,44),(41,17),(41,24),(42,16),(42,25),(43,26),(43,38),(43,42),(44,24),(44,29),(44,45),(45,21),(45,35),(45,43),(46,20),(46,54),(47,50),(47,54),(47,61),(48,52),(49,19),(49,55),(50,51),(50,53),(51,48),(51,55),(53,55),(54,49),(54,53),(55,52),(56,28),(56,39),(56,59),(57,33),(57,47),(57,60),(58,23),(58,46),(58,47),(59,22),(59,57),(59,58),(60,31),(60,36),(60,61),(61,32),(61,49),(61,51)],62)
[[4,6,7]]=>([(0,1),(1,4),(1,5),(2,44),(3,43),(4,7),(4,45),(5,8),(5,45),(6,47),(7,46),(8,9),(8,48),(9,10),(9,50),(10,6),(10,49),(11,34),(11,37),(12,19),(12,35),(13,33),(13,36),(14,18),(14,32),(15,53),(16,3),(16,69),(17,52),(18,54),(19,2),(19,62),(20,56),(21,60),(22,58),(23,18),(23,55),(24,20),(24,63),(25,24),(25,69),(26,21),(26,53),(27,31),(27,65),(28,27),(28,62),(29,39),(29,52),(30,15),(30,67),(31,17),(31,68),(32,38),(32,54),(33,30),(33,64),(34,16),(34,66),(35,11),(35,40),(35,62),(36,14),(36,23),(36,64),(37,13),(37,41),(37,66),(38,22),(38,59),(39,23),(39,57),(40,37),(40,42),(40,65),(41,36),(41,39),(41,51),(42,29),(42,41),(42,68),(43,15),(43,26),(44,16),(44,25),(45,12),(45,46),(45,48),(46,19),(46,28),(47,17),(47,29),(48,28),(48,35),(48,50),(49,31),(49,42),(49,47),(50,27),(50,40),(50,49),(51,57),(51,63),(51,64),(52,20),(52,57),(53,22),(53,60),(54,59),(55,54),(55,61),(56,21),(56,61),(57,55),(57,56),(59,58),(60,58),(61,59),(61,60),(62,34),(62,44),(62,65),(63,26),(63,56),(63,67),(64,32),(64,55),(64,67),(65,25),(65,66),(65,68),(66,33),(66,51),(66,69),(67,38),(67,53),(67,61),(68,24),(68,51),(68,52),(69,30),(69,43),(69,63)],70)
[[4,7,7]]=>([(0,1),(1,5),(1,6),(2,50),(3,49),(4,43),(5,11),(5,51),(6,7),(6,51),(7,10),(7,52),(8,46),(9,8),(9,53),(10,9),(10,54),(11,45),(12,30),(12,38),(13,33),(13,42),(14,22),(14,37),(15,23),(15,29),(16,60),(17,59),(19,56),(20,58),(21,61),(22,4),(22,66),(23,3),(23,65),(24,2),(24,71),(25,22),(25,57),(26,27),(26,60),(27,25),(27,55),(28,31),(28,65),(29,13),(29,47),(29,65),(30,14),(30,25),(30,64),(31,32),(31,72),(32,16),(32,68),(33,12),(33,44),(33,70),(34,17),(34,73),(35,18),(36,19),(36,59),(37,41),(37,66),(38,34),(38,64),(39,40),(39,71),(40,21),(40,69),(41,20),(41,67),(42,24),(42,70),(43,35),(44,27),(44,30),(44,63),(45,23),(45,28),(46,16),(46,26),(47,33),(47,48),(47,72),(48,26),(48,44),(48,68),(49,24),(49,39),(50,17),(50,36),(51,15),(51,45),(51,52),(52,28),(52,29),(52,54),(53,32),(53,46),(53,48),(54,31),(54,47),(54,53),(55,57),(55,61),(56,58),(57,62),(57,66),(58,18),(59,20),(59,56),(60,21),(60,55),(61,19),(61,62),(62,56),(62,67),(63,55),(63,64),(63,69),(64,37),(64,57),(64,73),(65,42),(65,49),(65,72),(66,43),(66,67),(67,35),(67,58),(68,40),(68,60),(68,63),(69,36),(69,61),(69,73),(70,38),(70,63),(70,71),(71,34),(71,50),(71,69),(72,39),(72,68),(72,70),(73,41),(73,59),(73,62)],74)
[[5,5,7]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,10),(5,45),(6,8),(6,45),(7,11),(7,48),(8,9),(8,46),(9,7),(9,47),(10,38),(11,39),(12,31),(12,33),(13,35),(13,36),(14,22),(14,32),(15,55),(16,49),(18,52),(19,53),(20,3),(20,61),(21,4),(21,64),(22,2),(22,60),(23,30),(23,61),(24,25),(24,62),(25,16),(25,59),(26,15),(26,56),(27,24),(27,60),(28,26),(28,49),(29,18),(29,64),(30,19),(30,63),(31,20),(31,58),(32,12),(32,40),(32,60),(33,13),(33,41),(33,58),(34,21),(34,51),(35,34),(35,54),(36,15),(36,54),(37,17),(38,22),(38,27),(39,16),(39,28),(40,33),(40,42),(40,62),(41,26),(41,36),(41,50),(42,28),(42,41),(42,59),(43,20),(43,23),(44,21),(44,29),(45,14),(45,38),(45,46),(46,27),(46,32),(46,47),(47,24),(47,40),(47,48),(48,25),(48,39),(48,42),(49,19),(49,56),(50,54),(50,56),(50,63),(51,57),(51,64),(52,17),(53,18),(53,57),(54,51),(54,55),(55,57),(56,53),(56,55),(57,52),(58,35),(58,50),(58,61),(59,30),(59,49),(59,50),(60,31),(60,43),(60,62),(61,34),(61,44),(61,63),(62,23),(62,58),(62,59),(63,29),(63,51),(63,53),(64,37),(64,52)],65)
[[5,6,7]]=>([(0,1),(1,5),(1,6),(2,50),(3,49),(4,48),(5,10),(5,51),(6,8),(6,51),(7,11),(7,54),(8,9),(8,52),(9,7),(9,53),(10,43),(11,45),(12,37),(12,39),(13,36),(13,40),(14,18),(14,42),(15,24),(15,38),(16,55),(17,60),(18,57),(19,59),(20,60),(21,58),(22,4),(22,71),(23,2),(23,74),(24,3),(24,69),(25,28),(25,71),(26,19),(26,74),(27,35),(27,62),(28,21),(28,73),(29,23),(29,70),(30,31),(30,72),(31,16),(31,68),(32,41),(32,64),(33,30),(33,69),(34,32),(34,55),(35,17),(35,63),(36,29),(36,67),(37,22),(37,66),(38,12),(38,44),(38,69),(39,13),(39,46),(39,66),(40,14),(40,41),(40,67),(41,18),(41,61),(42,27),(42,57),(43,24),(43,33),(44,39),(44,47),(44,72),(45,16),(45,34),(46,32),(46,40),(46,56),(47,34),(47,46),(47,68),(48,23),(48,26),(49,22),(49,25),(50,17),(50,20),(51,15),(51,43),(51,52),(52,33),(52,38),(52,53),(53,30),(53,44),(53,54),(54,31),(54,45),(54,47),(55,21),(55,64),(56,64),(56,67),(56,73),(57,62),(58,19),(58,65),(59,20),(59,63),(61,57),(61,65),(62,63),(63,60),(64,58),(64,61),(65,59),(65,62),(66,36),(66,56),(66,71),(67,42),(67,61),(67,70),(68,28),(68,55),(68,56),(69,37),(69,49),(69,72),(70,27),(70,65),(70,74),(71,29),(71,48),(71,73),(72,25),(72,66),(72,68),(73,26),(73,58),(73,70),(74,35),(74,50),(74,59)],75)
[[5,7,7]]=>([(0,1),(1,6),(1,7),(2,55),(3,54),(4,53),(5,47),(6,12),(6,56),(7,8),(7,56),(8,11),(8,57),(9,50),(10,9),(10,58),(11,10),(11,59),(12,49),(13,32),(13,40),(14,35),(14,46),(15,23),(15,39),(16,24),(16,31),(17,64),(18,64),(20,62),(21,66),(22,63),(23,5),(23,70),(24,3),(24,69),(25,4),(25,77),(26,2),(26,72),(27,23),(27,61),(28,29),(28,62),(29,27),(29,60),(30,33),(30,69),(31,14),(31,51),(31,69),(32,15),(32,27),(32,68),(33,34),(33,78),(34,20),(34,73),(35,13),(35,48),(35,76),(36,26),(36,79),(37,38),(38,19),(39,41),(39,70),(40,36),(40,68),(41,44),(41,75),(42,43),(42,77),(43,22),(43,74),(44,17),(44,71),(45,21),(45,72),(46,25),(46,76),(47,37),(48,29),(48,32),(48,67),(49,24),(49,30),(50,20),(50,28),(51,35),(51,52),(51,78),(52,28),(52,48),(52,73),(53,26),(53,45),(54,25),(54,42),(55,17),(55,18),(56,16),(56,49),(56,57),(57,30),(57,31),(57,59),(58,34),(58,50),(58,52),(59,33),(59,51),(59,58),(60,61),(60,63),(61,65),(61,70),(62,22),(62,60),(63,21),(63,65),(64,19),(65,66),(65,75),(66,18),(66,71),(67,60),(67,68),(67,74),(68,39),(68,61),(68,79),(69,46),(69,54),(69,78),(70,47),(70,75),(71,38),(71,64),(72,44),(72,55),(72,66),(73,43),(73,62),(73,67),(74,45),(74,63),(74,79),(75,37),(75,71),(76,40),(76,67),(76,77),(77,36),(77,53),(77,74),(78,42),(78,73),(78,76),(79,41),(79,65),(79,72)],80)
[[6,6,7]]=>([(0,1),(1,6),(1,7),(2,52),(3,50),(4,51),(5,26),(6,11),(6,53),(7,9),(7,53),(8,12),(8,56),(9,10),(9,54),(10,8),(10,55),(11,45),(12,47),(13,39),(13,41),(14,38),(14,42),(15,18),(15,44),(16,24),(16,40),(17,58),(18,59),(19,61),(20,60),(21,62),(22,4),(22,73),(23,2),(23,76),(24,3),(24,71),(25,5),(25,60),(27,25),(27,65),(28,37),(28,73),(29,27),(29,64),(30,23),(30,72),(31,32),(31,74),(32,17),(32,68),(33,43),(33,66),(34,31),(34,71),(35,33),(35,58),(36,21),(36,76),(37,19),(37,75),(38,30),(38,70),(39,22),(39,69),(40,13),(40,46),(40,71),(41,14),(41,48),(41,69),(42,15),(42,43),(42,70),(43,18),(43,63),(44,29),(44,59),(45,24),(45,34),(46,41),(46,49),(46,74),(47,17),(47,35),(48,33),(48,42),(48,57),(49,35),(49,48),(49,68),(50,22),(50,28),(51,23),(51,36),(52,20),(52,25),(53,16),(53,45),(53,54),(54,34),(54,40),(54,55),(55,31),(55,46),(55,56),(56,32),(56,47),(56,49),(57,66),(57,70),(57,75),(58,19),(58,66),(59,64),(60,26),(61,21),(61,67),(62,20),(62,65),(63,59),(63,67),(64,65),(65,60),(66,61),(66,63),(67,62),(67,64),(68,37),(68,57),(68,58),(69,38),(69,57),(69,73),(70,44),(70,63),(70,72),(71,39),(71,50),(71,74),(72,29),(72,67),(72,76),(73,30),(73,51),(73,75),(74,28),(74,68),(74,69),(75,36),(75,61),(75,72),(76,27),(76,52),(76,62)],77)
[[6,7,7]]=>([(0,1),(1,7),(1,8),(2,58),(3,50),(4,57),(5,56),(6,49),(7,13),(7,59),(8,9),(8,59),(9,12),(9,60),(10,53),(11,10),(11,61),(12,11),(12,62),(13,52),(14,34),(14,41),(15,37),(15,48),(16,24),(16,42),(17,25),(17,33),(19,82),(20,65),(21,68),(22,66),(23,6),(23,82),(24,3),(24,71),(25,4),(25,72),(26,2),(26,73),(27,5),(27,79),(28,24),(28,64),(29,30),(29,65),(30,28),(30,63),(31,35),(31,72),(32,18),(33,15),(33,54),(33,72),(34,16),(34,28),(34,70),(35,36),(35,80),(36,20),(36,75),(37,14),(37,51),(37,78),(38,32),(39,26),(39,81),(40,38),(41,39),(41,70),(42,44),(42,71),(43,23),(43,74),(44,43),(44,77),(45,46),(45,79),(46,22),(46,76),(47,21),(47,73),(48,27),(48,78),(49,18),(50,40),(51,30),(51,34),(51,69),(52,25),(52,31),(53,20),(53,29),(54,37),(54,55),(54,80),(55,29),(55,51),(55,75),(56,26),(56,47),(57,27),(57,45),(58,19),(58,23),(59,17),(59,52),(59,60),(60,31),(60,33),(60,62),(61,36),(61,53),(61,55),(62,35),(62,54),(62,61),(63,64),(63,66),(64,67),(64,71),(65,22),(65,63),(66,21),(66,67),(67,68),(67,77),(68,19),(68,74),(69,63),(69,70),(69,76),(70,42),(70,64),(70,81),(71,50),(71,77),(72,48),(72,57),(72,80),(73,43),(73,58),(73,68),(74,38),(74,82),(75,46),(75,65),(75,69),(76,47),(76,66),(76,81),(77,40),(77,74),(78,41),(78,69),(78,79),(79,39),(79,56),(79,76),(80,45),(80,75),(80,78),(81,44),(81,67),(81,73),(82,32),(82,49)],83)
[[7,7,7]]=>([(0,2),(2,8),(2,9),(3,59),(4,51),(5,58),(6,57),(7,50),(8,14),(8,60),(9,10),(9,60),(10,13),(10,61),(11,54),(12,11),(12,62),(13,12),(13,63),(14,53),(15,35),(15,42),(16,38),(16,49),(17,25),(17,43),(18,26),(18,34),(19,83),(20,66),(21,69),(22,67),(23,1),(24,7),(24,83),(25,4),(25,72),(26,5),(26,73),(27,3),(27,74),(28,6),(28,80),(29,25),(29,65),(30,23),(31,32),(31,66),(32,29),(32,64),(33,36),(33,73),(34,16),(34,55),(34,73),(35,17),(35,29),(35,71),(36,37),(36,81),(37,20),(37,76),(38,15),(38,52),(38,79),(39,30),(40,27),(40,82),(41,39),(42,40),(42,71),(43,45),(43,72),(44,24),(44,75),(45,44),(45,78),(46,47),(46,80),(47,22),(47,77),(48,21),(48,74),(49,28),(49,79),(50,23),(51,41),(52,32),(52,35),(52,70),(53,26),(53,33),(54,20),(54,31),(55,38),(55,56),(55,81),(56,31),(56,52),(56,76),(57,27),(57,48),(58,28),(58,46),(59,19),(59,24),(60,18),(60,53),(60,61),(61,33),(61,34),(61,63),(62,37),(62,54),(62,56),(63,36),(63,55),(63,62),(64,65),(64,67),(65,68),(65,72),(66,22),(66,64),(67,21),(67,68),(68,69),(68,78),(69,19),(69,75),(70,64),(70,71),(70,77),(71,43),(71,65),(71,82),(72,51),(72,78),(73,49),(73,58),(73,81),(74,44),(74,59),(74,69),(75,39),(75,83),(76,47),(76,66),(76,70),(77,48),(77,67),(77,82),(78,41),(78,75),(79,42),(79,70),(79,80),(80,40),(80,57),(80,77),(81,46),(81,76),(81,79),(82,45),(82,68),(82,74),(83,30),(83,50)],84)
[[1,1],[7]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2],[7]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,7],[2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,3],[7]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,7],[3]]=>([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12)
[[1,4],[7]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,7],[4]]=>([(0,7),(1,9),(2,10),(3,11),(4,5),(4,9),(5,6),(5,13),(6,2),(6,12),(7,8),(8,1),(8,4),(9,3),(9,13),(10,15),(11,14),(12,10),(12,14),(13,11),(13,12),(14,15)],16)
[[1,5],[7]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,7],[5]]=>([(0,8),(1,17),(2,18),(3,12),(4,11),(5,6),(5,18),(6,7),(6,10),(7,3),(7,14),(8,9),(9,2),(9,5),(10,14),(10,17),(11,16),(12,15),(13,11),(13,15),(14,12),(14,13),(15,16),(17,4),(17,13),(18,1),(18,10)],19)
[[1,6],[7]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,7],[6]]=>([(0,9),(1,20),(2,19),(3,18),(4,13),(5,12),(6,7),(6,18),(7,8),(7,11),(8,4),(8,16),(9,10),(10,3),(10,6),(11,16),(11,19),(13,17),(14,17),(14,20),(15,12),(16,13),(16,14),(17,15),(18,2),(18,11),(19,1),(19,14),(20,5),(20,15)],21)
[[1,7],[7]]=>([(0,10),(1,21),(2,20),(4,19),(5,18),(6,14),(7,8),(7,18),(8,9),(8,12),(9,6),(9,16),(10,11),(11,5),(11,7),(12,16),(12,19),(13,17),(13,21),(14,17),(15,20),(16,13),(16,14),(17,15),(18,4),(18,12),(19,1),(19,13),(20,3),(21,2),(21,15)],22)
[[2,2],[7]]=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
[[2,3],[7]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,5),(3,16),(4,18),(5,17),(6,4),(6,20),(7,6),(7,19),(8,9),(8,13),(9,21),(10,22),(11,22),(12,14),(12,21),(13,15),(13,21),(14,10),(14,23),(15,11),(15,23),(16,8),(16,17),(16,19),(17,9),(17,12),(18,10),(18,11),(19,12),(19,13),(19,20),(20,14),(20,15),(20,18),(21,23),(23,22)],24)
[[2,7],[3]]=>([(0,8),(0,9),(1,15),(2,12),(3,11),(3,12),(4,6),(4,14),(5,4),(5,11),(6,1),(6,13),(7,2),(8,7),(9,10),(10,3),(10,5),(11,14),(11,19),(12,19),(13,15),(13,18),(14,13),(14,17),(15,16),(17,18),(18,16),(19,17)],20)
[[2,4],[7]]=>([(0,1),(1,2),(1,3),(2,5),(2,19),(3,6),(3,19),(4,21),(5,22),(6,7),(6,24),(7,4),(7,23),(8,13),(8,18),(9,11),(9,15),(10,29),(11,25),(12,26),(13,27),(14,16),(14,25),(15,8),(15,20),(15,25),(16,12),(16,28),(17,10),(17,26),(18,10),(18,27),(19,9),(19,22),(19,24),(20,17),(20,18),(20,28),(21,12),(21,17),(22,11),(22,14),(23,16),(23,20),(23,21),(24,14),(24,15),(24,23),(25,13),(25,28),(26,29),(27,29),(28,26),(28,27)],30)
[[2,7],[4]]=>([(0,3),(0,4),(1,6),(1,11),(2,5),(3,1),(4,2),(5,15),(6,9),(6,21),(7,22),(8,7),(8,24),(9,8),(9,23),(10,12),(10,17),(11,15),(11,21),(12,25),(13,26),(14,26),(15,20),(16,18),(16,25),(17,19),(17,25),(18,13),(18,27),(19,14),(19,27),(20,12),(20,16),(21,10),(21,20),(21,23),(22,13),(22,14),(23,16),(23,17),(23,24),(24,18),(24,19),(24,22),(25,27),(27,26)],28)
[[2,5],[7]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,6),(3,22),(4,25),(5,24),(6,7),(6,27),(7,4),(7,26),(8,15),(8,21),(9,13),(9,14),(10,11),(10,18),(11,28),(12,31),(13,29),(14,29),(15,30),(16,13),(16,33),(17,20),(17,28),(18,8),(18,23),(18,28),(19,16),(19,31),(20,12),(20,32),(21,9),(21,16),(21,30),(22,10),(22,24),(22,27),(23,19),(23,21),(23,32),(24,11),(24,17),(25,12),(25,19),(26,20),(26,23),(26,25),(27,17),(27,18),(27,26),(28,15),(28,32),(30,14),(30,33),(31,33),(32,30),(32,31),(33,29)],34)
[[2,7],[5]]=>([(0,3),(0,4),(1,6),(1,12),(2,5),(3,1),(4,2),(5,17),(6,9),(6,24),(7,26),(8,7),(8,28),(9,8),(9,27),(10,14),(10,19),(11,16),(11,22),(12,17),(12,24),(13,33),(14,29),(15,30),(16,31),(17,23),(18,20),(18,29),(19,11),(19,25),(19,29),(20,15),(20,32),(21,13),(21,30),(22,13),(22,31),(23,14),(23,18),(24,10),(24,23),(24,27),(25,21),(25,22),(25,32),(26,15),(26,21),(27,18),(27,19),(27,28),(28,20),(28,25),(28,26),(29,16),(29,32),(30,33),(31,33),(32,30),(32,31)],34)
[[2,6],[7]]=>([(0,1),(1,3),(1,4),(2,12),(3,6),(3,25),(4,7),(4,25),(5,26),(6,27),(7,8),(7,29),(8,5),(8,28),(9,13),(9,14),(10,15),(10,20),(11,16),(11,21),(13,35),(14,2),(14,35),(15,33),(16,34),(17,32),(18,19),(18,33),(19,17),(19,30),(20,11),(20,24),(20,33),(21,9),(21,22),(21,34),(22,14),(22,31),(23,22),(23,32),(24,21),(24,23),(24,30),(25,10),(25,27),(25,29),(26,17),(26,23),(27,15),(27,18),(28,19),(28,24),(28,26),(29,18),(29,20),(29,28),(30,32),(30,34),(31,35),(32,31),(33,16),(33,30),(34,13),(34,31),(35,12)],36)
[[2,7],[6]]=>([(0,3),(0,4),(1,6),(1,13),(2,5),(3,1),(4,2),(5,20),(6,9),(6,27),(7,29),(8,7),(8,31),(9,8),(9,30),(10,14),(10,22),(11,18),(11,25),(12,16),(12,17),(13,20),(13,27),(14,32),(15,35),(16,33),(17,33),(18,34),(19,16),(19,37),(20,26),(21,24),(21,32),(22,11),(22,28),(22,32),(23,19),(23,35),(24,15),(24,36),(25,12),(25,19),(25,34),(26,14),(26,21),(27,10),(27,26),(27,30),(28,23),(28,25),(28,36),(29,15),(29,23),(30,21),(30,22),(30,31),(31,24),(31,28),(31,29),(32,18),(32,36),(34,17),(34,37),(35,37),(36,34),(36,35),(37,33)],38)
[[2,7],[7]]=>([(0,3),(0,4),(1,7),(2,6),(2,14),(3,1),(4,2),(5,20),(6,9),(6,31),(7,27),(8,10),(8,33),(9,8),(9,32),(10,28),(11,18),(11,26),(12,17),(12,19),(13,15),(13,23),(14,27),(14,31),(15,34),(16,35),(17,37),(18,36),(19,5),(19,37),(21,19),(21,39),(22,24),(22,34),(23,11),(23,30),(23,34),(24,16),(24,38),(25,21),(25,35),(26,12),(26,21),(26,36),(27,29),(28,16),(28,25),(29,15),(29,22),(30,25),(30,26),(30,38),(31,13),(31,29),(31,32),(32,22),(32,23),(32,33),(33,24),(33,28),(33,30),(34,18),(34,38),(35,39),(36,17),(36,39),(37,20),(38,35),(38,36),(39,37)],40)
[[3,3],[7]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,20),(4,6),(4,20),(5,22),(6,21),(7,5),(7,24),(8,7),(8,23),(9,13),(9,17),(10,25),(11,25),(13,2),(13,26),(14,10),(14,27),(15,11),(15,27),(16,15),(16,26),(17,14),(17,26),(18,19),(19,12),(20,9),(20,21),(20,23),(21,13),(21,16),(22,10),(22,11),(23,16),(23,17),(23,24),(24,14),(24,15),(24,22),(25,12),(26,18),(26,27),(27,19),(27,25)],28)
[[3,4],[7]]=>([(0,1),(1,3),(1,4),(2,24),(3,6),(3,25),(4,8),(4,25),(5,27),(6,26),(7,5),(7,29),(8,7),(8,28),(9,13),(9,19),(10,21),(10,22),(11,34),(12,32),(13,2),(13,35),(14,31),(15,33),(16,14),(16,36),(17,15),(17,32),(18,16),(18,35),(19,10),(19,23),(19,35),(20,11),(20,31),(21,12),(21,30),(22,11),(22,30),(23,20),(23,22),(23,36),(24,12),(24,17),(25,9),(25,26),(25,28),(26,13),(26,18),(27,14),(27,20),(28,18),(28,19),(28,29),(29,16),(29,23),(29,27),(30,32),(30,34),(31,15),(31,34),(32,33),(34,33),(35,21),(35,24),(35,36),(36,17),(36,30),(36,31)],37)
[[3,7],[4]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,7),(4,29),(5,18),(6,28),(7,14),(7,29),(8,11),(8,32),(9,10),(9,34),(10,31),(11,9),(11,33),(12,24),(12,25),(13,22),(13,32),(14,19),(14,22),(15,35),(16,35),(18,6),(19,18),(20,15),(20,37),(21,16),(21,37),(22,30),(23,20),(23,36),(24,21),(24,36),(25,28),(25,36),(26,27),(27,17),(28,26),(29,5),(29,19),(30,23),(30,25),(31,15),(31,16),(32,12),(32,30),(32,33),(33,23),(33,24),(33,34),(34,20),(34,21),(34,31),(35,17),(36,26),(36,37),(37,27),(37,35)],38)
[[3,5],[7]]=>([(0,1),(1,3),(1,4),(2,28),(3,6),(3,29),(4,8),(4,29),(5,30),(6,31),(7,5),(7,33),(8,7),(8,32),(9,21),(9,24),(10,12),(10,22),(11,13),(11,23),(12,37),(13,2),(13,40),(14,34),(15,35),(16,39),(17,38),(18,14),(18,42),(19,18),(19,40),(20,12),(20,36),(21,15),(21,41),(22,17),(22,37),(23,9),(23,27),(23,40),(24,10),(24,20),(24,41),(25,16),(25,35),(26,20),(26,34),(27,24),(27,26),(27,42),(28,15),(28,25),(29,11),(29,31),(29,32),(30,14),(30,26),(31,13),(31,19),(32,19),(32,23),(32,33),(33,18),(33,27),(33,30),(34,16),(34,36),(35,17),(35,39),(36,37),(36,39),(37,38),(39,38),(40,21),(40,28),(40,42),(41,22),(41,35),(41,36),(42,25),(42,34),(42,41)],43)
[[3,7],[5]]=>([(0,2),(0,3),(1,8),(1,14),(2,1),(3,4),(3,7),(4,32),(5,20),(6,31),(7,15),(7,32),(8,10),(8,37),(9,11),(9,39),(10,9),(10,38),(11,34),(12,29),(12,30),(13,26),(13,27),(14,25),(14,37),(15,23),(15,25),(16,44),(17,42),(18,41),(19,43),(20,6),(21,18),(21,46),(22,19),(22,42),(23,20),(24,21),(24,45),(25,35),(26,31),(26,45),(27,12),(27,33),(27,45),(28,16),(28,41),(29,17),(29,40),(30,16),(30,40),(31,36),(32,5),(32,23),(33,28),(33,30),(33,46),(34,18),(34,28),(35,24),(35,26),(36,17),(36,22),(37,13),(37,35),(37,38),(38,24),(38,27),(38,39),(39,21),(39,33),(39,34),(40,42),(40,44),(41,19),(41,44),(42,43),(44,43),(45,29),(45,36),(45,46),(46,22),(46,40),(46,41)],47)
[[3,6],[7]]=>([(0,1),(1,4),(1,5),(2,33),(3,29),(4,7),(4,34),(5,8),(5,34),(6,9),(6,36),(7,6),(7,35),(8,32),(9,30),(10,23),(10,26),(11,18),(11,24),(12,19),(12,25),(13,38),(14,37),(15,40),(16,41),(18,3),(18,43),(19,2),(19,42),(20,14),(20,45),(21,18),(21,39),(22,20),(22,42),(23,13),(23,44),(24,15),(24,43),(25,10),(25,31),(25,42),(26,11),(26,21),(26,44),(27,21),(27,37),(28,16),(28,38),(29,17),(30,14),(30,27),(31,26),(31,27),(31,45),(32,19),(32,22),(33,13),(33,28),(34,12),(34,32),(34,35),(35,22),(35,25),(35,36),(36,20),(36,30),(36,31),(37,16),(37,39),(38,15),(38,41),(39,41),(39,43),(40,17),(41,40),(42,23),(42,33),(42,45),(43,29),(43,40),(44,24),(44,38),(44,39),(45,28),(45,37),(45,44)],46)
[[3,7],[6]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,4),(3,7),(4,36),(5,22),(6,35),(7,16),(7,36),(8,11),(8,41),(9,10),(9,43),(10,39),(11,9),(11,42),(12,30),(12,32),(13,17),(13,27),(14,29),(14,31),(15,28),(15,41),(16,24),(16,28),(17,46),(18,45),(19,44),(20,49),(21,48),(22,6),(23,17),(23,47),(24,22),(25,26),(25,50),(26,19),(26,52),(27,20),(27,46),(28,38),(29,35),(29,50),(30,18),(30,51),(31,12),(31,37),(31,50),(32,13),(32,23),(32,51),(33,21),(33,45),(34,23),(34,44),(35,40),(36,5),(36,24),(37,32),(37,34),(37,52),(38,25),(38,29),(39,19),(39,34),(40,18),(40,33),(41,14),(41,38),(41,42),(42,25),(42,31),(42,43),(43,26),(43,37),(43,39),(44,21),(44,47),(45,20),(45,48),(46,49),(47,46),(47,48),(48,49),(50,30),(50,40),(50,52),(51,27),(51,45),(51,47),(52,33),(52,44),(52,51)],53)
[[3,7],[7]]=>([(0,2),(0,3),(1,9),(1,16),(2,1),(3,5),(3,8),(4,38),(5,39),(6,24),(7,37),(8,17),(8,39),(9,11),(9,44),(10,12),(10,46),(11,10),(11,45),(12,41),(13,29),(13,34),(14,23),(14,32),(15,31),(15,33),(16,30),(16,44),(17,27),(17,30),(18,47),(19,48),(20,50),(22,51),(23,4),(23,52),(24,7),(25,19),(25,55),(26,23),(26,49),(27,24),(28,25),(28,53),(29,18),(29,54),(30,42),(31,37),(31,53),(32,20),(32,52),(33,13),(33,40),(33,53),(34,14),(34,26),(34,54),(35,26),(35,48),(36,22),(36,47),(37,43),(38,21),(39,6),(39,27),(40,34),(40,35),(40,55),(41,19),(41,35),(42,28),(42,31),(43,18),(43,36),(44,15),(44,42),(44,45),(45,28),(45,33),(45,46),(46,25),(46,40),(46,41),(47,20),(47,51),(48,22),(48,49),(49,51),(49,52),(50,21),(51,50),(52,38),(52,50),(53,29),(53,43),(53,55),(54,32),(54,47),(54,49),(55,36),(55,48),(55,54)],56)
[[4,4],[7]]=>([(0,1),(1,4),(1,5),(2,29),(3,25),(4,7),(4,30),(5,8),(5,30),(6,9),(6,32),(7,6),(7,31),(8,28),(9,27),(10,23),(10,24),(11,17),(11,21),(12,36),(13,34),(14,35),(16,3),(16,39),(17,2),(17,37),(18,13),(18,38),(19,14),(19,39),(20,18),(20,37),(21,10),(21,26),(21,37),(22,12),(22,34),(23,16),(23,33),(24,12),(24,33),(25,15),(26,22),(26,24),(26,38),(27,13),(27,22),(28,17),(28,20),(29,16),(29,19),(30,11),(30,28),(30,31),(31,20),(31,21),(31,32),(32,18),(32,26),(32,27),(33,36),(33,39),(34,14),(34,36),(35,15),(36,35),(37,23),(37,29),(37,38),(38,19),(38,33),(38,34),(39,25),(39,35)],40)
[[4,5],[7]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[4,7],[5]]=>([(0,2),(0,3),(1,8),(1,17),(2,1),(3,6),(3,7),(4,41),(5,40),(6,18),(6,49),(7,9),(7,49),(8,11),(8,48),(9,47),(10,12),(10,51),(11,10),(11,50),(12,43),(13,32),(13,33),(14,38),(14,39),(15,21),(15,26),(16,35),(16,36),(17,34),(17,48),(18,34),(18,46),(19,55),(20,59),(21,13),(21,59),(22,53),(23,54),(25,5),(26,4),(26,59),(27,22),(27,57),(28,24),(29,23),(29,58),(30,40),(30,58),(31,27),(31,56),(32,25),(33,45),(34,44),(35,33),(35,56),(36,14),(36,42),(36,56),(37,19),(37,53),(38,30),(38,52),(39,19),(39,52),(40,28),(41,25),(42,37),(42,39),(42,57),(43,22),(43,37),(44,31),(44,35),(45,29),(45,30),(46,20),(46,21),(47,20),(47,26),(48,16),(48,44),(48,50),(49,15),(49,46),(49,47),(50,31),(50,36),(50,51),(51,27),(51,42),(51,43),(52,55),(52,58),(53,23),(53,55),(54,24),(55,54),(56,38),(56,45),(56,57),(57,29),(57,52),(57,53),(58,28),(58,54),(59,32),(59,41)],60)
[[4,6],[7]]=>([(0,1),(1,5),(1,6),(2,38),(3,37),(4,33),(5,9),(5,39),(6,10),(6,39),(7,8),(7,41),(8,35),(9,7),(9,40),(10,34),(11,27),(11,32),(12,19),(12,29),(13,20),(13,25),(14,45),(15,44),(17,43),(18,44),(19,4),(19,47),(20,3),(20,46),(21,2),(21,48),(22,23),(22,43),(23,19),(23,42),(24,26),(24,46),(25,11),(25,36),(25,46),(26,17),(26,50),(27,12),(27,23),(27,51),(28,16),(29,30),(29,47),(30,18),(30,49),(31,14),(31,48),(32,21),(32,51),(33,28),(34,20),(34,24),(35,17),(35,22),(36,22),(36,27),(36,50),(37,21),(37,31),(38,15),(38,18),(39,13),(39,34),(39,40),(40,24),(40,25),(40,41),(41,26),(41,35),(41,36),(42,45),(42,47),(43,14),(43,42),(44,16),(45,15),(45,49),(46,32),(46,37),(46,50),(47,33),(47,49),(48,30),(48,38),(48,45),(49,28),(49,44),(50,31),(50,43),(50,51),(51,29),(51,42),(51,48)],52)
[[4,7],[6]]=>([(0,2),(0,3),(1,8),(1,18),(2,1),(3,6),(3,7),(4,45),(5,44),(6,19),(6,54),(7,9),(7,54),(8,12),(8,53),(9,52),(10,11),(10,56),(11,50),(12,10),(12,55),(13,36),(13,41),(14,24),(14,43),(15,35),(15,37),(16,22),(16,28),(17,39),(17,40),(18,38),(18,53),(19,38),(19,51),(20,57),(21,67),(22,15),(22,67),(23,59),(24,58),(25,60),(26,59),(27,4),(28,5),(28,67),(29,23),(29,62),(30,45),(30,66),(31,42),(31,57),(32,25),(32,66),(33,34),(33,64),(34,20),(34,65),(35,27),(36,30),(36,63),(37,47),(38,49),(39,37),(39,64),(40,13),(40,46),(40,64),(41,14),(41,42),(41,63),(42,24),(42,61),(43,29),(43,58),(44,27),(45,48),(46,31),(46,41),(46,65),(47,30),(47,32),(48,23),(48,26),(49,33),(49,39),(50,20),(50,31),(51,21),(51,22),(52,21),(52,28),(53,17),(53,49),(53,55),(54,16),(54,51),(54,52),(55,33),(55,40),(55,56),(56,34),(56,46),(56,50),(57,25),(57,61),(58,62),(60,26),(60,62),(61,58),(61,60),(62,59),(63,43),(63,61),(63,66),(64,36),(64,47),(64,65),(65,32),(65,57),(65,63),(66,29),(66,48),(66,60),(67,35),(67,44)],68)
[[4,7],[7]]=>([(0,2),(0,3),(1,9),(1,19),(2,1),(3,6),(3,8),(4,48),(5,49),(6,12),(6,58),(7,47),(8,20),(8,58),(9,11),(9,57),(10,13),(10,60),(11,10),(11,59),(12,52),(13,51),(14,41),(14,46),(15,35),(15,37),(16,29),(16,43),(17,27),(17,30),(18,34),(18,38),(19,36),(19,57),(20,36),(20,53),(21,63),(23,63),(24,64),(25,62),(26,71),(27,15),(27,71),(28,7),(29,5),(29,66),(30,4),(30,71),(31,29),(31,61),(32,40),(32,65),(33,31),(33,62),(34,35),(34,65),(35,55),(36,50),(37,28),(38,14),(38,54),(38,65),(39,47),(39,68),(40,25),(40,69),(41,16),(41,31),(41,70),(42,22),(43,44),(43,66),(44,23),(44,67),(45,24),(45,68),(46,39),(46,70),(47,56),(48,28),(49,42),(50,32),(50,34),(51,25),(51,33),(52,26),(52,30),(53,26),(53,27),(54,33),(54,41),(54,69),(55,39),(55,45),(56,21),(56,23),(57,18),(57,50),(57,59),(58,17),(58,52),(58,53),(59,32),(59,38),(59,60),(60,40),(60,51),(60,54),(61,64),(61,66),(62,24),(62,61),(63,22),(64,21),(64,67),(65,46),(65,55),(65,69),(66,49),(66,67),(67,42),(67,63),(68,44),(68,56),(68,64),(69,45),(69,62),(69,70),(70,43),(70,61),(70,68),(71,37),(71,48)],72)
[[5,5],[7]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,21),(5,9),(5,37),(6,10),(6,37),(7,8),(7,39),(8,34),(9,7),(9,38),(10,33),(11,27),(11,29),(12,15),(12,31),(13,19),(13,28),(14,40),(15,41),(16,42),(17,43),(18,3),(18,49),(19,2),(19,46),(20,4),(20,43),(22,20),(22,45),(23,16),(23,49),(24,30),(24,40),(25,26),(25,46),(26,14),(26,48),(27,18),(27,47),(28,11),(28,32),(28,46),(29,12),(29,30),(29,47),(30,15),(30,44),(31,22),(31,41),(32,24),(32,29),(32,48),(33,19),(33,25),(34,14),(34,24),(35,17),(35,20),(36,18),(36,23),(37,13),(37,33),(37,38),(38,25),(38,28),(38,39),(39,26),(39,32),(39,34),(40,16),(40,44),(41,45),(42,17),(42,45),(43,21),(44,41),(44,42),(45,43),(46,27),(46,36),(46,48),(47,31),(47,44),(47,49),(48,23),(48,40),(48,47),(49,22),(49,35),(49,42)],50)
[[5,6],[7]]=>([(0,1),(1,6),(1,7),(2,41),(3,36),(4,40),(5,35),(6,10),(6,42),(7,11),(7,42),(8,9),(8,44),(9,38),(10,8),(10,43),(11,37),(12,29),(12,34),(13,20),(13,31),(14,21),(14,27),(15,47),(16,46),(18,54),(19,5),(19,54),(20,3),(20,49),(21,4),(21,48),(22,2),(22,50),(23,24),(23,46),(24,20),(24,45),(25,28),(25,48),(26,17),(27,12),(27,39),(27,48),(28,16),(28,52),(29,13),(29,24),(29,53),(30,26),(31,32),(31,49),(32,19),(32,51),(33,15),(33,50),(34,22),(34,53),(35,17),(36,30),(37,21),(37,25),(38,16),(38,23),(39,23),(39,29),(39,52),(40,22),(40,33),(41,18),(41,19),(42,14),(42,37),(42,43),(43,25),(43,27),(43,44),(44,28),(44,38),(44,39),(45,47),(45,49),(46,15),(46,45),(47,18),(47,51),(48,34),(48,40),(48,52),(49,36),(49,51),(50,32),(50,41),(50,47),(51,30),(51,54),(52,33),(52,46),(52,53),(53,31),(53,45),(53,50),(54,26),(54,35)],55)
[[5,7],[6]]=>([(0,2),(0,3),(1,8),(1,21),(2,1),(3,5),(3,7),(4,57),(5,12),(5,67),(6,56),(7,22),(7,67),(8,13),(8,66),(9,64),(10,11),(10,70),(11,63),(12,9),(12,68),(13,10),(13,69),(14,44),(14,52),(15,43),(15,47),(16,33),(16,45),(17,46),(17,65),(18,27),(18,55),(19,26),(19,50),(20,49),(20,51),(21,48),(21,66),(22,48),(22,62),(23,72),(24,71),(25,15),(25,84),(26,17),(26,79),(27,74),(29,84),(30,73),(31,75),(32,6),(33,4),(33,80),(34,54),(34,77),(35,33),(35,71),(36,32),(37,47),(37,83),(38,53),(38,72),(39,30),(39,83),(40,41),(40,81),(41,23),(41,82),(42,24),(42,79),(43,32),(44,37),(44,78),(45,25),(45,80),(46,59),(47,60),(48,61),(49,46),(49,81),(50,16),(50,35),(50,79),(51,14),(51,58),(51,81),(52,18),(52,53),(52,78),(53,27),(53,76),(54,56),(54,75),(55,34),(55,74),(56,28),(57,36),(58,38),(58,52),(58,82),(59,37),(59,39),(60,31),(60,54),(61,40),(61,49),(62,26),(62,42),(63,23),(63,38),(64,24),(64,35),(65,25),(65,29),(66,20),(66,61),(66,69),(67,19),(67,62),(67,68),(68,42),(68,50),(68,64),(69,40),(69,51),(69,70),(70,41),(70,58),(70,63),(71,29),(71,80),(72,30),(72,76),(73,31),(73,77),(74,77),(75,28),(76,73),(76,74),(77,75),(78,55),(78,76),(78,83),(79,45),(79,65),(79,71),(80,57),(80,84),(81,44),(81,59),(81,82),(82,39),(82,72),(82,78),(83,34),(83,60),(83,73),(84,36),(84,43)],85)
[[5,7],[7]]=>([(0,2),(0,3),(1,9),(1,22),(2,1),(3,5),(3,8),(4,60),(5,13),(5,72),(6,61),(7,62),(8,23),(8,72),(9,14),(9,71),(10,67),(11,12),(11,75),(12,66),(13,10),(13,73),(14,11),(14,74),(15,48),(15,57),(16,44),(16,45),(17,46),(17,70),(18,34),(18,59),(19,33),(19,58),(20,31),(20,52),(21,51),(21,53),(22,47),(22,71),(23,47),(23,65),(25,79),(26,89),(27,76),(28,88),(29,77),(30,16),(30,89),(31,17),(31,80),(32,4),(33,7),(33,83),(34,6),(34,82),(35,44),(35,85),(36,34),(36,78),(37,33),(37,79),(38,32),(39,60),(39,88),(40,36),(40,76),(41,27),(41,87),(42,24),(43,24),(44,69),(45,32),(46,68),(47,64),(48,18),(48,36),(48,84),(49,41),(49,81),(50,25),(50,80),(51,46),(51,81),(52,19),(52,37),(52,80),(53,15),(53,63),(53,81),(54,39),(54,86),(55,42),(56,29),(56,85),(57,35),(57,84),(58,30),(58,83),(59,54),(59,82),(60,43),(61,55),(62,38),(63,40),(63,48),(63,87),(64,49),(64,51),(65,31),(65,50),(66,27),(66,40),(67,25),(67,37),(68,35),(68,56),(69,28),(69,39),(70,26),(70,30),(71,21),(71,64),(71,74),(72,20),(72,65),(72,73),(73,50),(73,52),(73,67),(74,49),(74,53),(74,75),(75,41),(75,63),(75,66),(76,29),(76,78),(77,28),(77,86),(78,77),(78,82),(79,26),(79,83),(80,58),(80,70),(80,79),(81,57),(81,68),(81,87),(82,61),(82,86),(83,62),(83,89),(84,59),(84,78),(84,85),(85,54),(85,69),(85,77),(86,55),(86,88),(87,56),(87,76),(87,84),(88,42),(88,43),(89,38),(89,45)],90)
[[6,6],[7]]=>([(0,2),(2,7),(2,8),(3,42),(4,37),(5,41),(6,36),(7,11),(7,43),(8,12),(8,43),(9,10),(9,45),(10,39),(11,9),(11,44),(12,38),(13,30),(13,35),(14,21),(14,32),(15,22),(15,28),(16,48),(17,47),(18,55),(19,1),(20,6),(20,55),(21,4),(21,50),(22,5),(22,49),(23,3),(23,51),(24,26),(24,47),(25,19),(26,21),(26,46),(27,29),(27,49),(28,13),(28,40),(28,49),(29,17),(29,53),(30,14),(30,26),(30,54),(31,25),(32,33),(32,50),(33,20),(33,52),(34,16),(34,51),(35,23),(35,54),(36,19),(37,31),(38,22),(38,27),(39,17),(39,24),(40,24),(40,30),(40,53),(41,23),(41,34),(42,18),(42,20),(43,15),(43,38),(43,44),(44,27),(44,28),(44,45),(45,29),(45,39),(45,40),(46,48),(46,50),(47,16),(47,46),(48,18),(48,52),(49,35),(49,41),(49,53),(50,37),(50,52),(51,33),(51,42),(51,48),(52,31),(52,55),(53,34),(53,47),(53,54),(54,32),(54,46),(54,51),(55,25),(55,36)],56)
[[6,7],[7]]=>([(0,2),(0,3),(1,9),(1,25),(2,1),(3,4),(3,8),(4,14),(4,87),(5,74),(6,75),(7,39),(8,26),(8,87),(9,15),(9,86),(10,12),(10,90),(11,13),(11,91),(12,78),(13,79),(14,10),(14,88),(15,11),(15,89),(16,63),(16,73),(17,62),(17,72),(18,51),(18,54),(19,53),(19,84),(20,52),(20,85),(21,37),(21,66),(22,38),(22,67),(23,34),(23,58),(24,56),(24,57),(25,55),(25,86),(26,55),(26,77),(27,96),(28,97),(29,95),(30,94),(31,111),(32,110),(33,18),(33,111),(34,19),(34,98),(35,20),(35,103),(36,7),(37,6),(37,100),(38,5),(38,101),(40,47),(40,95),(41,48),(41,94),(42,39),(43,51),(43,110),(44,42),(45,42),(46,36),(47,37),(47,92),(48,38),(48,93),(49,61),(49,99),(50,60),(50,98),(51,44),(52,83),(53,82),(54,36),(55,76),(56,53),(56,99),(57,17),(57,81),(57,99),(58,16),(58,80),(58,98),(59,52),(59,102),(60,30),(60,107),(61,29),(61,106),(62,21),(62,47),(62,109),(63,22),(63,48),(63,108),(64,46),(65,45),(66,68),(66,100),(67,69),(67,101),(68,43),(68,104),(69,33),(69,105),(70,28),(70,103),(71,27),(71,102),(72,59),(72,109),(73,35),(73,108),(74,64),(75,65),(76,49),(76,56),(77,34),(77,50),(78,30),(78,41),(79,29),(79,40),(80,41),(80,63),(80,107),(81,40),(81,62),(81,106),(82,59),(82,71),(83,32),(83,43),(84,35),(84,70),(85,31),(85,33),(86,24),(86,76),(86,89),(87,23),(87,77),(87,88),(88,50),(88,58),(88,90),(89,49),(89,57),(89,91),(90,60),(90,78),(90,80),(91,61),(91,79),(91,81),(92,96),(92,100),(93,97),(93,101),(94,28),(94,93),(95,27),(95,92),(96,32),(96,104),(97,31),(97,105),(98,73),(98,84),(98,107),(99,72),(99,82),(99,106),(100,75),(100,104),(101,74),(101,105),(102,68),(102,83),(102,96),(103,69),(103,85),(103,97),(104,65),(104,110),(105,64),(105,111),(106,71),(106,95),(106,109),(107,70),(107,94),(107,108),(108,67),(108,93),(108,103),(109,66),(109,92),(109,102),(110,44),(110,45),(111,46),(111,54)],112)
[[1],[2],[7]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1],[3],[7]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1],[4],[7]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1],[5],[7]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1],[6],[7]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[2],[3],[7]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[2],[4],[7]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[2],[5],[7]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[2],[6],[7]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[3],[4],[7]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[3],[5],[7]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[3],[6],[7]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[4],[5],[7]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[4],[6],[7]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[5],[6],[7]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,1,1,1]]=>([],1)
[[1,1,1,2]]=>([(0,1)],2)
[[1,1,2,2]]=>([(0,2),(2,1)],3)
[[1,2,2,2]]=>([(0,3),(2,1),(3,2)],4)
[[2,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1],[2]]=>([],1)
[[1,1,2],[2]]=>([(0,1)],2)
[[1,2,2],[2]]=>([(0,2),(2,1)],3)
[[1,1],[2,2]]=>([],1)
[[1,1,1,3]]=>([(0,2),(2,1)],3)
[[1,1,2,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2,2,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[2,2,2,3]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[2,2,3,3]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[2,3,3,3]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[3,3,3,3]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,1],[3]]=>([(0,1)],2)
[[1,1,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,3],[2]]=>([(0,2),(2,1)],3)
[[1,1,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,3],[2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,3,3],[2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,3,3],[3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[2,2,2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3],[3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[2,3,3],[3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1],[2,3]]=>([(0,1)],2)
[[1,1],[3,3]]=>([(0,2),(2,1)],3)
[[1,2],[2,3]]=>([(0,2),(2,1)],3)
[[1,2],[3,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[2,2],[3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1],[2],[3]]=>([],1)
[[1,2],[2],[3]]=>([(0,1)],2)
[[1,3],[2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,3,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2,2,4]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,3,4]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,2,4,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,3,3,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,3,4,4]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,4,4,4]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[2,2,2,4]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[2,2,3,4]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[2,2,4,4]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[2,3,3,4]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[2,3,4,4]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[2,4,4,4]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[3,3,3,4]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[3,3,4,4]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[3,4,4,4]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[4,4,4,4]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,1,1],[4]]=>([(0,2),(2,1)],3)
[[1,1,2],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,4],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,4],[3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,4],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,2,2],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,4],[2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,3],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2,4],[3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,3,4],[2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,4,4],[2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,3,3],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,3,4],[3]]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
[[1,3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,4,4],[3]]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
[[1,4,4],[4]]=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
[[2,2,2],[4]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[2,2,3],[4]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[2,2,4],[3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[2,2,4],[4]]=>([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17)
[[2,3,3],[4]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[2,3,4],[3]]=>([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23)
[[2,3,4],[4]]=>([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28)
[[2,4,4],[3]]=>([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26)
[[2,4,4],[4]]=>([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28)
[[3,3,3],[4]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[3,3,4],[4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30)
[[3,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45)
[[1,1],[2,4]]=>([(0,2),(2,1)],3)
[[1,1],[3,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1],[4,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2],[2,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,2],[3,4]]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[[1,3],[2,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2],[4,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,3],[3,4]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,3],[4,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[2,2],[3,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[2,2],[4,4]]=>([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13)
[[2,3],[3,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[2,3],[4,4]]=>([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19)
[[3,3],[4,4]]=>([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20)
[[1,1],[2],[4]]=>([(0,1)],2)
[[1,1],[3],[4]]=>([(0,2),(2,1)],3)
[[1,2],[2],[4]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,2],[3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,3],[2],[4]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[[1,4],[2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,4],[2],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3],[3],[4]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,4],[3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[2,2],[3],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3],[3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[2,4],[3],[4]]=>([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15)
[[1],[2],[3],[4]]=>([],1)
[[1,1,1,5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,5]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,3,5]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,4,5]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,5,5]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,2,2,5]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,3,5]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,2,4,5]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,2,5,5]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,3,3,5]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,3,4,5]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,3,5,5]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,4,4,5]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,4,5,5]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,5,5,5]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[2,2,2,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,14),(3,6),(3,14),(4,11),(5,12),(6,4),(6,15),(7,5),(7,16),(9,8),(10,8),(11,9),(12,10),(13,9),(13,10),(14,15),(14,16),(15,11),(15,13),(16,12),(16,13)],17)
[[2,2,3,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,17),(3,6),(3,17),(4,18),(5,19),(6,4),(6,20),(7,5),(7,21),(8,12),(8,13),(9,25),(10,23),(11,24),(12,10),(12,22),(13,11),(13,22),(14,9),(14,23),(15,9),(15,24),(16,14),(16,15),(16,22),(17,8),(17,20),(17,21),(18,10),(18,14),(19,11),(19,15),(20,12),(20,16),(20,18),(21,13),(21,16),(21,19),(22,23),(22,24),(23,25),(24,25)],26)
[[2,2,4,5]]=>([(0,1),(1,2),(1,3),(2,6),(2,21),(3,7),(3,21),(4,22),(5,23),(6,5),(6,24),(7,4),(7,25),(8,15),(8,16),(9,11),(9,14),(10,30),(11,28),(12,27),(13,29),(14,13),(14,28),(15,12),(15,31),(16,9),(16,17),(16,31),(17,11),(17,26),(18,10),(18,26),(19,10),(19,27),(20,18),(20,19),(20,31),(21,8),(21,24),(21,25),(22,17),(22,18),(23,12),(23,19),(24,15),(24,20),(24,23),(25,16),(25,20),(25,22),(26,28),(26,30),(27,13),(27,30),(28,29),(30,29),(31,14),(31,26),(31,27)],32)
[[2,2,5,5]]=>([(0,1),(1,3),(1,4),(2,16),(3,7),(3,24),(4,8),(4,24),(5,25),(6,26),(7,6),(7,27),(8,5),(8,28),(9,18),(9,19),(10,12),(10,17),(11,32),(12,2),(12,34),(13,30),(14,31),(16,15),(17,14),(17,34),(18,13),(18,33),(19,10),(19,20),(19,33),(20,12),(20,29),(21,11),(21,29),(22,11),(22,30),(23,21),(23,22),(23,33),(24,9),(24,27),(24,28),(25,20),(25,21),(26,13),(26,22),(27,18),(27,23),(27,26),(28,19),(28,23),(28,25),(29,32),(29,34),(30,14),(30,32),(31,15),(32,31),(33,17),(33,29),(33,30),(34,16),(34,31)],35)
[[2,3,3,5]]=>([(0,1),(1,2),(1,3),(2,6),(2,21),(3,7),(3,21),(4,22),(5,23),(6,5),(6,24),(7,4),(7,25),(8,15),(8,16),(9,11),(9,14),(10,30),(11,28),(12,27),(13,29),(14,13),(14,28),(15,12),(15,31),(16,9),(16,17),(16,31),(17,11),(17,26),(18,10),(18,26),(19,10),(19,27),(20,18),(20,19),(20,31),(21,8),(21,24),(21,25),(22,17),(22,18),(23,12),(23,19),(24,15),(24,20),(24,23),(25,16),(25,20),(25,22),(26,28),(26,30),(27,13),(27,30),(28,29),(30,29),(31,14),(31,26),(31,27)],32)
[[2,3,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,23),(3,6),(3,23),(4,27),(5,28),(6,4),(6,29),(7,5),(7,30),(8,15),(8,25),(9,16),(9,26),(10,21),(10,22),(11,35),(11,36),(12,35),(12,37),(13,36),(13,38),(14,34),(15,32),(16,33),(17,14),(17,39),(18,14),(18,40),(19,15),(19,39),(20,16),(20,40),(21,8),(21,19),(21,31),(22,9),(22,20),(22,31),(23,10),(23,29),(23,30),(24,17),(24,18),(24,31),(25,11),(25,13),(25,32),(26,11),(26,12),(26,33),(27,17),(27,19),(28,18),(28,20),(29,21),(29,24),(29,27),(30,22),(30,24),(30,28),(31,25),(31,26),(31,39),(31,40),(32,35),(32,38),(33,36),(33,37),(34,37),(34,38),(35,41),(36,41),(37,41),(38,41),(39,12),(39,32),(39,34),(40,13),(40,33),(40,34)],42)
[[2,3,5,5]]=>([(0,1),(1,3),(1,4),(2,28),(3,7),(3,26),(4,8),(4,26),(5,31),(6,32),(7,5),(7,33),(8,6),(8,34),(9,24),(9,25),(10,19),(10,29),(11,18),(11,30),(12,41),(12,42),(13,40),(13,45),(14,40),(14,42),(15,39),(16,39),(17,35),(18,38),(19,2),(19,37),(20,17),(20,43),(21,17),(21,44),(22,19),(22,44),(23,18),(23,43),(24,11),(24,23),(24,36),(25,10),(25,22),(25,36),(26,9),(26,33),(26,34),(27,20),(27,21),(27,36),(28,15),(28,16),(29,13),(29,14),(29,37),(30,12),(30,14),(30,38),(31,20),(31,23),(32,21),(32,22),(33,24),(33,27),(33,31),(34,25),(34,27),(34,32),(35,41),(35,45),(36,29),(36,30),(36,43),(36,44),(37,28),(37,42),(37,45),(38,40),(38,41),(40,46),(41,46),(42,15),(42,46),(43,13),(43,35),(43,38),(44,12),(44,35),(44,37),(45,16),(45,46),(46,39)],47)
[[2,4,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,6),(3,26),(4,30),(5,31),(6,4),(6,32),(7,5),(7,33),(8,16),(8,17),(9,18),(9,28),(10,19),(10,29),(11,24),(11,25),(12,39),(12,41),(13,40),(13,42),(14,8),(14,41),(14,42),(15,34),(16,38),(17,38),(18,36),(19,37),(20,15),(20,43),(21,15),(21,44),(22,18),(22,43),(23,19),(23,44),(24,9),(24,22),(24,35),(25,10),(25,23),(25,35),(26,11),(26,32),(26,33),(27,20),(27,21),(27,35),(28,13),(28,14),(28,36),(29,12),(29,14),(29,37),(30,20),(30,22),(31,21),(31,23),(32,24),(32,27),(32,30),(33,25),(33,27),(33,31),(34,39),(34,40),(35,28),(35,29),(35,43),(35,44),(36,40),(36,41),(37,39),(37,42),(39,45),(40,45),(41,16),(41,45),(42,17),(42,45),(43,12),(43,34),(43,36),(44,13),(44,34),(44,37),(45,38)],46)
[[2,4,5,5]]=>([(0,1),(1,3),(1,4),(2,32),(3,7),(3,30),(4,8),(4,30),(5,35),(6,36),(7,5),(7,37),(8,6),(8,38),(9,19),(9,29),(10,26),(10,27),(11,20),(11,33),(12,21),(12,34),(13,46),(14,48),(14,51),(15,45),(15,47),(16,9),(16,45),(16,48),(17,44),(18,39),(19,43),(20,41),(21,2),(21,42),(22,18),(22,49),(23,18),(23,50),(24,20),(24,50),(25,21),(25,49),(26,12),(26,25),(26,40),(27,11),(27,24),(27,40),(28,13),(28,44),(29,13),(29,43),(30,10),(30,37),(30,38),(31,22),(31,23),(31,40),(32,17),(32,28),(33,15),(33,16),(33,41),(34,14),(34,16),(34,42),(35,22),(35,25),(36,23),(36,24),(37,26),(37,31),(37,35),(38,27),(38,31),(38,36),(39,47),(39,51),(40,33),(40,34),(40,49),(40,50),(41,47),(41,48),(42,32),(42,45),(42,51),(43,46),(44,46),(45,28),(45,29),(45,52),(47,52),(48,19),(48,52),(49,15),(49,39),(49,42),(50,14),(50,39),(50,41),(51,17),(51,52),(52,43),(52,44)],53)
[[2,5,5,5]]=>([(0,1),(1,4),(1,5),(2,37),(3,23),(4,6),(4,38),(5,7),(5,38),(6,8),(6,39),(7,9),(7,40),(8,32),(9,33),(10,19),(10,31),(11,20),(11,35),(12,22),(12,36),(13,28),(13,29),(14,49),(14,53),(15,47),(15,48),(16,10),(16,47),(16,49),(17,46),(18,44),(19,45),(20,42),(21,3),(21,52),(22,2),(22,43),(24,18),(24,50),(25,18),(25,51),(26,20),(26,51),(27,22),(27,50),(28,11),(28,26),(28,41),(29,12),(29,27),(29,41),(30,21),(30,46),(31,21),(31,45),(32,25),(32,26),(33,24),(33,27),(34,24),(34,25),(34,41),(35,15),(35,16),(35,42),(36,14),(36,16),(36,43),(37,17),(37,30),(38,13),(38,39),(38,40),(39,28),(39,32),(39,34),(40,29),(40,33),(40,34),(41,35),(41,36),(41,50),(41,51),(42,48),(42,49),(43,37),(43,47),(43,53),(44,48),(44,53),(45,52),(46,52),(47,30),(47,31),(47,54),(48,54),(49,19),(49,54),(50,15),(50,43),(50,44),(51,14),(51,42),(51,44),(52,23),(53,17),(53,54),(54,45),(54,46)],55)
[[3,3,3,5]]=>([(0,1),(1,3),(1,4),(2,16),(3,7),(3,24),(4,8),(4,24),(5,25),(6,26),(7,6),(7,27),(8,5),(8,28),(9,18),(9,19),(10,12),(10,17),(11,32),(12,2),(12,34),(13,30),(14,31),(16,15),(17,14),(17,34),(18,13),(18,33),(19,10),(19,20),(19,33),(20,12),(20,29),(21,11),(21,29),(22,11),(22,30),(23,21),(23,22),(23,33),(24,9),(24,27),(24,28),(25,20),(25,21),(26,13),(26,22),(27,18),(27,23),(27,26),(28,19),(28,23),(28,25),(29,32),(29,34),(30,14),(30,32),(31,15),(32,31),(33,17),(33,29),(33,30),(34,16),(34,31)],35)
[[3,3,4,5]]=>([(0,1),(1,3),(1,4),(2,28),(3,7),(3,26),(4,8),(4,26),(5,31),(6,32),(7,5),(7,33),(8,6),(8,34),(9,24),(9,25),(10,19),(10,29),(11,18),(11,30),(12,41),(12,42),(13,40),(13,45),(14,40),(14,42),(15,39),(16,39),(17,35),(18,38),(19,2),(19,37),(20,17),(20,43),(21,17),(21,44),(22,19),(22,44),(23,18),(23,43),(24,11),(24,23),(24,36),(25,10),(25,22),(25,36),(26,9),(26,33),(26,34),(27,20),(27,21),(27,36),(28,15),(28,16),(29,13),(29,14),(29,37),(30,12),(30,14),(30,38),(31,20),(31,23),(32,21),(32,22),(33,24),(33,27),(33,31),(34,25),(34,27),(34,32),(35,41),(35,45),(36,29),(36,30),(36,43),(36,44),(37,28),(37,42),(37,45),(38,40),(38,41),(40,46),(41,46),(42,15),(42,46),(43,13),(43,35),(43,38),(44,12),(44,35),(44,37),(45,16),(45,46),(46,39)],47)
[[3,3,5,5]]=>([(0,1),(1,4),(1,5),(2,36),(3,35),(4,6),(4,37),(5,7),(5,37),(6,8),(6,38),(7,9),(7,39),(8,30),(9,31),(10,22),(10,33),(11,23),(11,34),(12,24),(12,25),(13,43),(14,46),(14,47),(15,50),(16,51),(17,50),(18,51),(19,46),(19,49),(20,47),(20,48),(22,3),(22,41),(23,2),(23,42),(24,10),(24,26),(24,40),(25,11),(25,27),(25,40),(26,22),(26,44),(27,23),(27,45),(28,13),(28,44),(29,13),(29,45),(30,26),(30,28),(31,27),(31,29),(32,28),(32,29),(32,40),(33,14),(33,20),(33,41),(34,14),(34,19),(34,42),(35,15),(35,17),(36,16),(36,18),(37,12),(37,38),(37,39),(38,24),(38,30),(38,32),(39,25),(39,31),(39,32),(40,33),(40,34),(40,44),(40,45),(41,35),(41,46),(41,48),(42,36),(42,47),(42,49),(43,48),(43,49),(44,19),(44,41),(44,43),(45,20),(45,42),(45,43),(46,15),(46,52),(47,16),(47,52),(48,17),(48,52),(49,18),(49,52),(50,21),(51,21),(52,50),(52,51)],53)
[[3,4,4,5]]=>([(0,1),(1,3),(1,4),(2,32),(3,7),(3,30),(4,8),(4,30),(5,35),(6,36),(7,5),(7,37),(8,6),(8,38),(9,19),(9,29),(10,26),(10,27),(11,20),(11,33),(12,21),(12,34),(13,46),(14,48),(14,51),(15,45),(15,47),(16,9),(16,45),(16,48),(17,44),(18,39),(19,43),(20,41),(21,2),(21,42),(22,18),(22,49),(23,18),(23,50),(24,20),(24,50),(25,21),(25,49),(26,12),(26,25),(26,40),(27,11),(27,24),(27,40),(28,13),(28,44),(29,13),(29,43),(30,10),(30,37),(30,38),(31,22),(31,23),(31,40),(32,17),(32,28),(33,15),(33,16),(33,41),(34,14),(34,16),(34,42),(35,22),(35,25),(36,23),(36,24),(37,26),(37,31),(37,35),(38,27),(38,31),(38,36),(39,47),(39,51),(40,33),(40,34),(40,49),(40,50),(41,47),(41,48),(42,32),(42,45),(42,51),(43,46),(44,46),(45,28),(45,29),(45,52),(47,52),(48,19),(48,52),(49,15),(49,39),(49,42),(50,14),(50,39),(50,41),(51,17),(51,52),(52,43),(52,44)],53)
[[3,4,5,5]]=>([(0,1),(1,4),(1,5),(2,41),(3,40),(4,6),(4,42),(5,7),(5,42),(6,8),(6,43),(7,9),(7,44),(8,35),(9,36),(10,33),(10,34),(11,23),(11,38),(12,24),(12,39),(13,29),(13,30),(14,53),(14,59),(15,52),(15,60),(16,50),(17,51),(18,55),(19,56),(20,54),(21,10),(21,52),(21,53),(22,45),(23,3),(23,47),(24,2),(24,48),(25,22),(25,57),(26,22),(26,58),(27,23),(27,57),(28,24),(28,58),(29,11),(29,27),(29,46),(30,12),(30,28),(30,46),(31,16),(31,55),(32,17),(32,56),(33,16),(33,49),(34,17),(34,49),(35,25),(35,27),(36,26),(36,28),(37,25),(37,26),(37,46),(38,14),(38,21),(38,47),(39,15),(39,21),(39,48),(40,18),(40,31),(41,19),(41,32),(42,13),(42,43),(42,44),(43,29),(43,35),(43,37),(44,30),(44,36),(44,37),(45,59),(45,60),(46,38),(46,39),(46,57),(46,58),(47,40),(47,52),(47,59),(48,41),(48,53),(48,60),(49,50),(49,51),(50,54),(51,54),(52,31),(52,33),(52,61),(53,32),(53,34),(53,61),(55,20),(55,50),(56,20),(56,51),(57,15),(57,45),(57,47),(58,14),(58,45),(58,48),(59,18),(59,61),(60,19),(60,61),(61,49),(61,55),(61,56)],62)
[[3,5,5,5]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,7),(5,45),(6,8),(6,45),(7,9),(7,46),(8,10),(8,47),(9,38),(10,39),(11,35),(11,36),(12,25),(12,41),(13,26),(13,42),(14,31),(14,32),(15,56),(15,62),(16,55),(16,63),(17,53),(19,58),(20,59),(21,57),(22,11),(22,55),(22,56),(23,48),(24,4),(24,54),(25,2),(25,51),(26,3),(26,50),(27,23),(27,60),(28,23),(28,61),(29,25),(29,60),(30,26),(30,61),(31,12),(31,29),(31,49),(32,13),(32,30),(32,49),(33,17),(33,59),(34,24),(34,58),(35,17),(35,52),(36,24),(36,52),(37,18),(38,27),(38,29),(39,28),(39,30),(40,27),(40,28),(40,49),(41,15),(41,22),(41,51),(42,16),(42,22),(42,50),(43,19),(43,34),(44,20),(44,33),(45,14),(45,46),(45,47),(46,31),(46,38),(46,40),(47,32),(47,39),(47,40),(48,62),(48,63),(49,41),(49,42),(49,60),(49,61),(50,44),(50,56),(50,63),(51,43),(51,55),(51,62),(52,53),(52,54),(53,57),(54,37),(54,57),(55,34),(55,36),(55,64),(56,33),(56,35),(56,64),(57,18),(58,21),(58,54),(59,21),(59,53),(60,16),(60,48),(60,51),(61,15),(61,48),(61,50),(62,19),(62,64),(63,20),(63,64),(64,52),(64,58),(64,59)],65)
[[4,4,4,5]]=>([(0,1),(1,4),(1,5),(2,37),(3,23),(4,6),(4,38),(5,7),(5,38),(6,8),(6,39),(7,9),(7,40),(8,32),(9,33),(10,19),(10,31),(11,20),(11,35),(12,22),(12,36),(13,28),(13,29),(14,49),(14,53),(15,47),(15,48),(16,10),(16,47),(16,49),(17,46),(18,44),(19,45),(20,42),(21,3),(21,52),(22,2),(22,43),(24,18),(24,50),(25,18),(25,51),(26,20),(26,51),(27,22),(27,50),(28,11),(28,26),(28,41),(29,12),(29,27),(29,41),(30,21),(30,46),(31,21),(31,45),(32,25),(32,26),(33,24),(33,27),(34,24),(34,25),(34,41),(35,15),(35,16),(35,42),(36,14),(36,16),(36,43),(37,17),(37,30),(38,13),(38,39),(38,40),(39,28),(39,32),(39,34),(40,29),(40,33),(40,34),(41,35),(41,36),(41,50),(41,51),(42,48),(42,49),(43,37),(43,47),(43,53),(44,48),(44,53),(45,52),(46,52),(47,30),(47,31),(47,54),(48,54),(49,19),(49,54),(50,15),(50,43),(50,44),(51,14),(51,42),(51,44),(52,23),(53,17),(53,54),(54,45),(54,46)],55)
[[4,4,5,5]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,7),(5,45),(6,8),(6,45),(7,9),(7,46),(8,10),(8,47),(9,38),(10,39),(11,35),(11,36),(12,25),(12,41),(13,26),(13,42),(14,31),(14,32),(15,56),(15,62),(16,55),(16,63),(17,53),(19,58),(20,59),(21,57),(22,11),(22,55),(22,56),(23,48),(24,4),(24,54),(25,2),(25,51),(26,3),(26,50),(27,23),(27,60),(28,23),(28,61),(29,25),(29,60),(30,26),(30,61),(31,12),(31,29),(31,49),(32,13),(32,30),(32,49),(33,17),(33,59),(34,24),(34,58),(35,17),(35,52),(36,24),(36,52),(37,18),(38,27),(38,29),(39,28),(39,30),(40,27),(40,28),(40,49),(41,15),(41,22),(41,51),(42,16),(42,22),(42,50),(43,19),(43,34),(44,20),(44,33),(45,14),(45,46),(45,47),(46,31),(46,38),(46,40),(47,32),(47,39),(47,40),(48,62),(48,63),(49,41),(49,42),(49,60),(49,61),(50,44),(50,56),(50,63),(51,43),(51,55),(51,62),(52,53),(52,54),(53,57),(54,37),(54,57),(55,34),(55,36),(55,64),(56,33),(56,35),(56,64),(57,18),(58,21),(58,54),(59,21),(59,53),(60,16),(60,48),(60,51),(61,15),(61,48),(61,50),(62,19),(62,64),(63,20),(63,64),(64,52),(64,58),(64,59)],65)
[[4,5,5,5]]=>([(0,1),(1,6),(1,7),(2,48),(3,47),(4,40),(5,41),(6,8),(6,49),(7,9),(7,49),(8,10),(8,50),(9,11),(9,51),(10,42),(11,43),(12,36),(12,37),(13,26),(13,45),(14,27),(14,46),(15,38),(15,39),(17,60),(18,12),(18,66),(18,67),(19,61),(19,67),(20,62),(20,66),(21,53),(22,54),(23,65),(24,4),(24,63),(25,5),(25,64),(26,3),(26,56),(27,2),(27,57),(28,16),(29,16),(30,26),(30,58),(31,27),(31,59),(32,17),(32,58),(33,17),(33,59),(34,24),(34,53),(35,25),(35,54),(36,24),(36,55),(37,25),(37,55),(38,13),(38,30),(38,52),(39,14),(39,31),(39,52),(40,28),(41,29),(42,30),(42,32),(43,31),(43,33),(44,32),(44,33),(44,52),(45,18),(45,19),(45,56),(46,18),(46,20),(46,57),(47,21),(47,34),(48,22),(48,35),(49,15),(49,50),(49,51),(50,38),(50,42),(50,44),(51,39),(51,43),(51,44),(52,45),(52,46),(52,58),(52,59),(53,23),(53,63),(54,23),(54,64),(55,63),(55,64),(56,47),(56,61),(56,66),(57,48),(57,62),(57,67),(58,20),(58,56),(58,60),(59,19),(59,57),(59,60),(60,61),(60,62),(61,21),(61,68),(62,22),(62,68),(63,40),(63,65),(64,41),(64,65),(65,28),(65,29),(66,34),(66,36),(66,68),(67,35),(67,37),(67,68),(68,53),(68,54),(68,55)],69)
[[5,5,5,5]]=>([(0,2),(2,7),(2,8),(3,49),(4,48),(5,41),(6,42),(7,9),(7,50),(8,10),(8,50),(9,11),(9,51),(10,12),(10,52),(11,43),(12,44),(13,37),(13,38),(14,27),(14,46),(15,28),(15,47),(16,39),(16,40),(17,61),(18,13),(18,67),(18,68),(19,1),(20,62),(20,68),(21,63),(21,67),(22,54),(23,55),(24,66),(25,5),(25,64),(26,6),(26,65),(27,4),(27,57),(28,3),(28,58),(29,19),(30,19),(31,27),(31,59),(32,28),(32,60),(33,17),(33,59),(34,17),(34,60),(35,25),(35,54),(36,26),(36,55),(37,25),(37,56),(38,26),(38,56),(39,14),(39,31),(39,53),(40,15),(40,32),(40,53),(41,29),(42,30),(43,31),(43,33),(44,32),(44,34),(45,33),(45,34),(45,53),(46,18),(46,20),(46,57),(47,18),(47,21),(47,58),(48,22),(48,35),(49,23),(49,36),(50,16),(50,51),(50,52),(51,39),(51,43),(51,45),(52,40),(52,44),(52,45),(53,46),(53,47),(53,59),(53,60),(54,24),(54,64),(55,24),(55,65),(56,64),(56,65),(57,48),(57,62),(57,67),(58,49),(58,63),(58,68),(59,21),(59,57),(59,61),(60,20),(60,58),(60,61),(61,62),(61,63),(62,22),(62,69),(63,23),(63,69),(64,41),(64,66),(65,42),(65,66),(66,29),(66,30),(67,35),(67,37),(67,69),(68,36),(68,38),(68,69),(69,54),(69,55),(69,56)],70)
[[1,1,1],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,5],[2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,5],[3]]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[[1,1,4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,5],[4]]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
[[1,1,5],[5]]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
[[1,2,2],[5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,5],[2]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,3],[5]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,2,5],[3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,3,5],[2]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,4],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,5],[4]]=>([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18)
[[1,4,5],[2]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2,5],[5]]=>([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20)
[[1,5,5],[2]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,3,3],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,3,5],[3]]=>([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,12),(6,3),(6,11),(7,1),(7,4),(8,6),(8,12),(9,14),(10,13),(11,9),(11,13),(12,10),(12,11),(13,14)],15)
[[1,3,4],[5]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,3,5],[4]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[1,4,5],[3]]=>([(0,1),(1,3),(1,4),(2,6),(2,17),(3,13),(4,5),(4,13),(5,7),(5,14),(6,15),(7,12),(8,10),(8,11),(9,18),(10,18),(11,18),(12,16),(13,2),(13,14),(14,12),(14,17),(15,9),(15,10),(16,9),(16,11),(17,8),(17,15),(17,16)],19)
[[1,3,5],[5]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29)
[[1,5,5],[3]]=>([(0,1),(1,4),(1,5),(2,7),(2,19),(3,13),(4,15),(5,6),(5,15),(6,8),(6,17),(7,16),(8,14),(9,11),(9,12),(10,20),(11,20),(12,3),(12,20),(14,18),(15,2),(15,17),(16,10),(16,11),(17,14),(17,19),(18,10),(18,12),(19,9),(19,16),(19,18),(20,13)],21)
[[1,4,4],[5]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,4,5],[4]]=>([(0,1),(1,4),(1,5),(2,7),(2,19),(3,13),(4,15),(5,6),(5,15),(6,8),(6,17),(7,16),(8,14),(9,11),(9,12),(10,20),(11,20),(12,3),(12,20),(14,18),(15,2),(15,17),(16,10),(16,12),(17,14),(17,19),(18,10),(18,11),(19,9),(19,16),(19,18),(20,13)],21)
[[1,4,5],[5]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1,5,5],[4]]=>([(0,1),(1,5),(1,6),(2,9),(2,22),(3,16),(4,17),(5,18),(6,8),(6,18),(7,15),(8,7),(8,21),(9,20),(10,13),(10,14),(12,23),(13,3),(13,23),(14,4),(14,23),(15,19),(16,11),(17,11),(18,2),(18,21),(19,12),(19,14),(20,12),(20,13),(21,15),(21,22),(22,10),(22,19),(22,20),(23,16),(23,17)],24)
[[1,5,5],[5]]=>([(0,2),(2,4),(2,5),(3,9),(3,23),(4,19),(5,10),(5,19),(6,17),(7,18),(8,16),(9,21),(10,8),(10,22),(11,14),(11,15),(12,1),(13,24),(14,6),(14,24),(15,7),(15,24),(16,20),(17,12),(18,12),(19,3),(19,22),(20,13),(20,15),(21,13),(21,14),(22,16),(22,23),(23,11),(23,20),(23,21),(24,17),(24,18)],25)
[[2,2,2],[5]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[2,2,3],[5]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[2,2,5],[3]]=>([(0,7),(0,8),(1,12),(2,13),(3,10),(3,11),(4,5),(5,1),(5,10),(6,2),(6,11),(7,4),(8,9),(9,3),(9,6),(10,12),(10,17),(11,13),(11,17),(12,15),(13,16),(15,14),(16,14),(17,15),(17,16)],18)
[[2,2,4],[5]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[2,2,5],[4]]=>([(0,3),(0,4),(1,7),(2,8),(2,10),(3,1),(4,2),(5,20),(6,14),(7,6),(7,17),(8,5),(8,19),(9,13),(9,16),(10,17),(10,19),(11,23),(12,23),(13,22),(14,18),(15,12),(15,22),(16,11),(16,22),(17,14),(17,21),(18,11),(18,12),(19,9),(19,20),(19,21),(20,13),(20,15),(21,15),(21,16),(21,18),(22,23)],24)
[[2,2,5],[5]]=>([(0,3),(0,4),(1,7),(2,6),(2,11),(3,1),(4,2),(5,19),(6,8),(6,23),(7,9),(7,22),(8,21),(9,16),(10,15),(10,18),(11,22),(11,23),(13,26),(14,26),(15,5),(15,25),(16,20),(17,14),(17,25),(18,13),(18,25),(19,12),(20,13),(20,14),(21,15),(21,17),(22,16),(22,24),(23,10),(23,21),(23,24),(24,17),(24,18),(24,20),(25,19),(25,26),(26,12)],27)
[[2,3,3],[5]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[2,3,5],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,22),(5,8),(5,28),(6,11),(6,27),(7,10),(7,12),(7,22),(8,24),(9,16),(9,17),(10,26),(10,28),(11,15),(11,21),(12,9),(12,25),(12,26),(13,30),(14,30),(15,29),(16,19),(17,18),(18,13),(19,14),(20,14),(20,29),(21,13),(21,29),(22,6),(22,25),(23,19),(23,20),(24,15),(24,20),(25,17),(25,27),(26,16),(26,23),(27,18),(27,21),(28,23),(28,24),(29,30)],31)
[[2,3,4],[5]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[2,3,5],[4]]=>([(0,2),(0,3),(1,7),(1,10),(2,1),(3,4),(3,6),(4,25),(5,24),(6,13),(6,25),(7,8),(7,31),(8,28),(9,20),(9,21),(10,29),(10,31),(11,16),(11,30),(12,17),(12,23),(13,9),(13,26),(13,29),(14,35),(15,33),(15,35),(16,34),(17,33),(18,36),(19,17),(20,27),(21,19),(22,14),(22,34),(23,18),(23,33),(24,12),(24,19),(25,5),(25,26),(26,21),(26,24),(27,14),(27,15),(28,16),(28,22),(29,20),(29,32),(30,15),(30,23),(30,34),(31,11),(31,28),(31,32),(32,22),(32,27),(32,30),(33,36),(34,18),(34,35),(35,36)],37)
[[2,4,5],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,24),(5,8),(5,32),(6,13),(6,31),(7,11),(7,12),(7,24),(8,26),(9,16),(9,23),(10,19),(10,20),(11,29),(11,32),(12,10),(12,28),(12,29),(13,17),(13,30),(14,35),(15,34),(15,35),(16,34),(17,33),(18,36),(19,21),(20,27),(21,14),(22,14),(22,33),(23,18),(23,34),(24,6),(24,28),(25,21),(25,22),(26,17),(26,22),(27,15),(27,16),(28,20),(28,31),(29,19),(29,25),(30,15),(30,23),(30,33),(31,9),(31,27),(31,30),(32,25),(32,26),(33,18),(33,35),(34,36),(35,36)],37)
[[2,3,5],[5]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,5),(3,7),(4,34),(5,28),(6,27),(7,14),(7,28),(8,9),(8,35),(9,30),(10,20),(10,33),(11,17),(11,26),(12,24),(12,25),(13,32),(13,35),(14,12),(14,29),(14,32),(15,39),(16,38),(17,37),(18,37),(18,38),(19,39),(20,4),(20,41),(21,17),(22,15),(22,40),(23,16),(23,41),(24,31),(25,21),(26,22),(26,37),(27,11),(27,21),(28,6),(28,29),(29,25),(29,27),(30,20),(30,23),(31,16),(31,18),(32,24),(32,36),(33,18),(33,26),(33,41),(34,15),(34,19),(35,10),(35,30),(35,36),(36,23),(36,31),(36,33),(37,40),(38,19),(38,40),(40,39),(41,22),(41,34),(41,38)],42)
[[2,5,5],[3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,27),(5,26),(6,9),(6,35),(7,14),(7,34),(8,12),(8,13),(8,27),(9,29),(10,20),(10,25),(11,21),(11,22),(12,32),(12,35),(13,11),(13,31),(13,32),(14,17),(14,33),(15,38),(16,37),(16,38),(17,36),(18,39),(20,5),(20,37),(21,23),(22,30),(23,15),(24,15),(24,36),(25,18),(25,37),(26,19),(27,7),(27,31),(28,23),(28,24),(29,17),(29,24),(30,16),(30,20),(31,22),(31,34),(32,21),(32,28),(33,16),(33,25),(33,36),(34,10),(34,30),(34,33),(35,28),(35,29),(36,18),(36,38),(37,26),(37,39),(38,39),(39,19)],40)
[[2,4,4],[5]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[2,4,5],[4]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,33),(5,29),(6,21),(7,12),(7,31),(8,9),(8,11),(8,21),(9,33),(9,35),(10,17),(10,20),(11,14),(11,32),(11,35),(12,19),(12,34),(13,18),(13,27),(14,22),(14,23),(15,39),(16,37),(16,39),(17,38),(18,37),(19,36),(20,38),(21,7),(21,32),(22,24),(23,30),(24,15),(25,15),(25,36),(26,17),(26,40),(27,10),(27,26),(27,37),(28,24),(28,25),(29,19),(29,25),(30,16),(30,18),(31,13),(31,30),(31,34),(32,23),(32,31),(33,28),(33,29),(34,16),(34,27),(34,36),(35,22),(35,28),(36,26),(36,39),(37,20),(37,40),(39,40),(40,38)],41)
[[2,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,6),(3,7),(4,45),(5,46),(6,16),(6,47),(7,9),(7,47),(8,10),(8,44),(9,40),(10,39),(11,23),(11,24),(12,27),(12,43),(13,28),(13,35),(14,31),(14,42),(15,41),(15,44),(16,14),(16,41),(16,49),(17,26),(17,34),(17,37),(18,57),(19,54),(20,59),(21,58),(22,11),(22,57),(23,55),(24,55),(25,50),(25,58),(26,50),(26,51),(27,4),(27,53),(28,5),(28,52),(29,26),(29,59),(30,23),(30,54),(31,38),(32,21),(32,53),(33,20),(33,52),(34,36),(34,50),(35,17),(35,29),(35,52),(36,30),(36,56),(37,22),(37,51),(38,21),(38,25),(39,27),(39,32),(40,28),(40,33),(41,31),(41,48),(42,20),(42,29),(43,25),(43,34),(43,53),(44,12),(44,39),(44,48),(45,19),(45,30),(46,18),(46,22),(47,13),(47,40),(47,49),(48,32),(48,38),(48,43),(49,33),(49,35),(49,42),(50,56),(51,57),(52,37),(52,46),(52,59),(53,36),(53,45),(53,58),(54,55),(56,54),(57,24),(58,19),(58,56),(59,18),(59,51)],60)
[[2,5,5],[4]]=>([(0,2),(0,3),(1,8),(2,1),(3,5),(3,6),(4,38),(5,30),(6,14),(6,15),(6,30),(7,13),(7,39),(8,9),(8,37),(9,32),(10,20),(10,28),(11,22),(11,27),(12,25),(12,26),(13,16),(13,35),(14,34),(14,37),(15,12),(15,33),(15,34),(16,40),(17,44),(18,41),(19,44),(19,45),(20,42),(21,41),(22,4),(22,45),(23,17),(23,40),(24,17),(25,36),(26,24),(27,10),(27,29),(27,45),(28,18),(28,42),(29,20),(29,43),(30,7),(30,33),(31,23),(31,24),(32,16),(32,23),(33,25),(33,39),(34,26),(34,31),(35,19),(35,27),(35,40),(36,19),(36,22),(37,31),(37,32),(38,18),(38,21),(39,11),(39,35),(39,36),(40,29),(40,44),(42,41),(43,21),(43,42),(44,43),(45,28),(45,38),(45,43)],46)
[[2,5,5],[5]]=>([(0,2),(0,3),(1,9),(2,1),(3,5),(3,7),(4,40),(5,32),(6,24),(7,15),(7,16),(7,32),(8,14),(8,41),(9,10),(9,39),(10,34),(11,20),(11,30),(12,22),(12,29),(13,27),(13,28),(14,17),(14,37),(15,36),(15,39),(16,13),(16,35),(16,36),(17,42),(18,46),(19,46),(19,47),(20,44),(21,43),(22,4),(22,47),(23,6),(23,43),(25,18),(25,42),(26,18),(27,38),(28,26),(29,11),(29,31),(29,47),(30,23),(30,44),(31,20),(31,45),(32,8),(32,35),(33,25),(33,26),(34,17),(34,25),(35,27),(35,41),(36,28),(36,33),(37,19),(37,29),(37,42),(38,19),(38,22),(39,33),(39,34),(40,21),(40,23),(41,12),(41,37),(41,38),(42,31),(42,46),(43,24),(44,43),(45,21),(45,44),(46,45),(47,30),(47,40),(47,45)],48)
[[3,3,3],[5]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[3,3,4],[5]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[3,3,5],[4]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,7),(4,28),(5,27),(6,26),(7,14),(7,28),(8,9),(8,34),(9,30),(10,20),(10,24),(11,15),(11,33),(12,23),(12,25),(13,32),(13,34),(14,12),(14,29),(14,32),(15,36),(16,38),(17,38),(17,39),(19,37),(20,6),(20,39),(21,20),(22,16),(22,36),(23,31),(24,19),(24,39),(25,21),(26,18),(27,10),(27,21),(28,5),(28,29),(29,25),(29,27),(30,15),(30,22),(31,16),(31,17),(32,23),(32,35),(33,17),(33,24),(33,36),(34,11),(34,30),(34,35),(35,22),(35,31),(35,33),(36,19),(36,38),(37,18),(38,37),(39,26),(39,37)],40)
[[3,3,5],[5]]=>([(0,2),(0,3),(1,9),(1,14),(2,1),(3,6),(3,8),(4,39),(5,31),(6,32),(7,30),(8,15),(8,32),(9,10),(9,38),(10,34),(11,22),(11,37),(12,21),(12,27),(13,24),(13,25),(14,36),(14,38),(15,13),(15,33),(15,36),(17,42),(18,41),(19,42),(20,41),(20,43),(21,5),(21,43),(22,4),(22,44),(23,21),(24,35),(25,23),(26,18),(26,44),(27,28),(27,43),(28,17),(28,45),(29,16),(30,12),(30,23),(31,29),(32,7),(32,33),(33,25),(33,30),(34,22),(34,26),(35,18),(35,20),(36,24),(36,40),(37,20),(37,27),(37,44),(38,11),(38,34),(38,40),(39,17),(39,19),(40,26),(40,35),(40,37),(41,19),(41,45),(42,16),(43,31),(43,45),(44,28),(44,39),(44,41),(45,29),(45,42)],46)
[[3,4,4],[5]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[3,4,5],[4]]=>([(0,1),(0,2),(1,5),(1,8),(2,6),(2,9),(3,46),(4,38),(5,36),(6,31),(7,15),(7,47),(8,17),(8,36),(9,11),(9,16),(9,31),(10,30),(10,40),(11,52),(11,53),(12,29),(12,39),(13,26),(13,51),(14,27),(14,41),(15,28),(15,50),(16,19),(16,49),(16,53),(17,18),(17,48),(17,52),(18,33),(18,42),(19,32),(19,43),(20,55),(20,59),(21,60),(22,62),(22,64),(23,59),(23,62),(24,60),(25,58),(26,57),(27,55),(28,56),(29,3),(29,64),(30,61),(31,7),(31,49),(32,45),(33,35),(34,23),(34,57),(35,29),(36,4),(36,48),(37,40),(37,63),(38,12),(38,35),(39,25),(39,64),(40,21),(40,61),(41,10),(41,37),(41,55),(42,28),(42,44),(43,26),(43,34),(44,22),(44,23),(44,56),(45,20),(45,27),(46,21),(46,24),(47,14),(47,45),(47,50),(48,33),(48,38),(49,32),(49,47),(50,20),(50,41),(50,56),(51,22),(51,39),(51,57),(52,42),(52,54),(53,13),(53,43),(53,54),(54,34),(54,44),(54,51),(55,30),(55,63),(56,37),(56,59),(57,25),(57,62),(58,24),(59,63),(61,60),(62,58),(63,61),(64,46),(64,58)],65)
[[3,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,6),(3,7),(4,52),(5,51),(6,17),(6,54),(7,9),(7,54),(8,10),(8,53),(9,47),(10,46),(11,38),(11,39),(12,30),(12,49),(13,29),(13,42),(14,41),(14,50),(15,48),(15,53),(16,22),(16,40),(17,14),(17,48),(17,55),(18,21),(18,36),(18,37),(19,61),(20,16),(20,67),(21,11),(21,62),(21,65),(22,60),(23,59),(24,58),(25,58),(25,62),(26,61),(27,67),(28,57),(29,4),(29,63),(30,5),(30,64),(31,26),(32,19),(33,44),(33,66),(34,24),(34,64),(35,23),(35,63),(36,33),(36,62),(37,20),(37,65),(38,31),(39,32),(40,19),(40,60),(41,45),(42,18),(42,43),(42,63),(43,21),(43,59),(44,22),(44,57),(45,24),(45,25),(46,30),(46,34),(47,29),(47,35),(48,41),(48,56),(49,25),(49,36),(49,64),(50,23),(50,43),(51,28),(51,44),(52,20),(52,27),(53,12),(53,46),(53,56),(54,13),(54,47),(54,55),(55,35),(55,42),(55,50),(56,34),(56,45),(56,49),(57,26),(57,60),(58,28),(58,66),(59,27),(59,65),(60,61),(62,38),(62,66),(63,37),(63,52),(63,59),(64,33),(64,51),(64,58),(65,39),(65,67),(66,31),(66,57),(67,32),(67,40)],68)
[[3,5,5],[4]]=>([(0,1),(0,2),(1,6),(1,9),(2,7),(2,10),(3,50),(4,41),(5,51),(6,39),(7,35),(8,11),(8,52),(9,12),(9,39),(10,13),(10,18),(10,35),(11,31),(11,56),(12,20),(12,54),(12,57),(13,57),(13,58),(14,30),(14,53),(15,42),(15,44),(16,33),(16,43),(17,32),(17,45),(18,19),(18,55),(18,58),(19,36),(19,47),(20,34),(20,46),(21,70),(22,67),(23,68),(24,67),(25,68),(27,63),(27,65),(28,60),(28,65),(29,60),(29,62),(30,66),(31,61),(32,5),(32,63),(33,3),(33,62),(34,38),(35,8),(35,55),(36,48),(37,28),(37,66),(38,33),(39,4),(39,54),(40,42),(40,69),(41,16),(41,38),(42,25),(42,64),(43,21),(43,62),(44,24),(44,64),(45,15),(45,40),(45,63),(46,31),(46,49),(47,30),(47,37),(48,27),(48,32),(49,28),(49,29),(49,61),(50,23),(50,25),(51,22),(51,24),(52,17),(52,48),(52,56),(53,29),(53,43),(53,66),(54,34),(54,41),(55,36),(55,52),(56,27),(56,45),(56,61),(57,46),(57,59),(58,14),(58,47),(58,59),(59,37),(59,49),(59,53),(60,70),(61,40),(61,65),(62,50),(62,70),(63,44),(63,51),(63,69),(64,67),(64,68),(65,69),(66,21),(66,60),(67,26),(68,26),(69,22),(69,64),(70,23)],71)
[[3,5,5],[5]]=>([(0,1),(0,2),(1,8),(1,10),(2,7),(2,11),(3,53),(4,42),(5,54),(6,44),(7,37),(8,41),(9,17),(9,55),(10,19),(10,41),(11,15),(11,18),(11,37),(12,33),(12,59),(13,32),(13,48),(14,34),(14,47),(15,60),(15,61),(16,45),(16,46),(17,31),(17,57),(18,21),(18,56),(18,61),(19,20),(19,58),(19,60),(20,38),(20,51),(21,39),(21,50),(23,71),(24,4),(24,73),(25,64),(25,66),(26,63),(26,66),(27,63),(27,70),(28,69),(29,71),(30,73),(31,72),(32,3),(32,70),(33,65),(34,5),(34,64),(35,46),(35,68),(36,34),(37,9),(37,56),(38,36),(39,49),(40,22),(41,6),(41,58),(42,22),(43,26),(43,65),(44,14),(44,36),(45,24),(45,67),(46,23),(46,67),(47,28),(47,64),(48,16),(48,35),(48,70),(49,27),(49,32),(50,33),(50,43),(51,31),(51,52),(52,25),(52,26),(52,72),(53,24),(53,30),(54,23),(54,29),(55,13),(55,49),(55,57),(56,39),(56,55),(57,27),(57,48),(57,72),(58,38),(58,44),(59,25),(59,47),(59,65),(60,51),(60,62),(61,12),(61,50),(61,62),(62,43),(62,52),(62,59),(63,68),(64,54),(64,69),(65,28),(65,66),(66,69),(67,71),(67,73),(68,30),(68,67),(69,29),(70,45),(70,53),(70,68),(71,40),(72,35),(72,63),(73,40),(73,42)],74)
[[4,4,4],[5]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[4,4,5],[5]]=>([(0,2),(0,3),(1,9),(1,16),(2,1),(3,7),(3,8),(4,54),(5,53),(6,32),(7,18),(7,56),(8,10),(8,56),(9,11),(9,55),(10,49),(11,48),(12,40),(12,41),(13,31),(13,51),(14,30),(14,44),(15,43),(15,52),(16,50),(16,55),(17,22),(17,42),(18,15),(18,50),(18,57),(19,21),(19,38),(19,39),(20,17),(20,69),(21,12),(21,64),(21,67),(22,62),(23,61),(24,60),(25,60),(25,64),(26,63),(27,69),(28,59),(29,6),(29,63),(30,4),(30,65),(31,5),(31,66),(33,26),(34,29),(35,46),(35,68),(36,24),(36,66),(37,23),(37,65),(38,35),(38,64),(39,20),(39,67),(40,33),(41,34),(42,29),(42,62),(43,47),(44,19),(44,45),(44,65),(45,21),(45,61),(46,22),(46,59),(47,24),(47,25),(48,31),(48,36),(49,30),(49,37),(50,43),(50,58),(51,25),(51,38),(51,66),(52,23),(52,45),(53,28),(53,46),(54,20),(54,27),(55,13),(55,48),(55,58),(56,14),(56,49),(56,57),(57,37),(57,44),(57,52),(58,36),(58,47),(58,51),(59,26),(59,62),(60,28),(60,68),(61,27),(61,67),(62,63),(63,32),(64,40),(64,68),(65,39),(65,54),(65,61),(66,35),(66,53),(66,60),(67,41),(67,69),(68,33),(68,59),(69,34),(69,42)],70)
[[4,5,5],[5]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,13),(3,76),(4,75),(5,58),(6,74),(7,57),(8,73),(9,50),(10,6),(10,77),(11,20),(11,78),(12,19),(12,77),(13,18),(13,23),(13,50),(14,43),(14,66),(15,45),(15,67),(16,64),(16,65),(17,41),(17,63),(18,83),(18,84),(19,25),(19,83),(19,86),(20,42),(20,80),(21,62),(21,82),(22,44),(22,81),(23,24),(23,79),(23,84),(24,53),(24,71),(25,69),(25,70),(26,40),(26,56),(26,61),(28,97),(29,7),(29,103),(30,5),(30,95),(31,91),(32,87),(32,96),(33,88),(33,90),(34,87),(34,88),(35,104),(36,103),(37,95),(38,89),(39,17),(39,104),(40,21),(40,90),(40,101),(41,93),(42,99),(43,4),(43,98),(44,8),(44,100),(45,3),(45,96),(46,59),(46,102),(47,37),(47,97),(48,65),(48,94),(49,31),(49,98),(50,11),(50,79),(51,55),(52,30),(53,68),(54,34),(54,100),(55,27),(56,39),(56,101),(57,55),(58,27),(59,41),(59,89),(60,40),(60,91),(61,46),(61,90),(62,52),(63,30),(63,93),(64,29),(64,92),(65,28),(65,92),(66,26),(66,60),(66,98),(67,16),(67,48),(67,96),(68,32),(68,45),(69,31),(69,60),(70,42),(70,72),(71,44),(71,54),(72,33),(72,34),(72,99),(73,38),(73,59),(74,43),(74,49),(75,35),(75,39),(76,29),(76,36),(77,14),(77,74),(77,86),(78,15),(78,68),(78,80),(79,53),(79,78),(80,32),(80,67),(80,99),(81,33),(81,61),(81,100),(82,28),(82,47),(83,70),(83,85),(84,22),(84,71),(84,85),(85,54),(85,72),(85,81),(86,49),(86,66),(86,69),(87,94),(88,38),(88,102),(89,37),(89,93),(90,82),(90,102),(91,35),(91,101),(92,97),(92,103),(93,95),(94,36),(94,92),(95,58),(96,64),(96,76),(96,94),(97,51),(98,56),(98,75),(98,91),(99,48),(99,87),(100,46),(100,73),(100,88),(101,62),(101,104),(102,47),(102,89),(103,51),(103,57),(104,52),(104,63)],105)
[[1,1],[2,5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1],[3,5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1],[4,5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1],[5,5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2],[2,5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2],[3,5]]=>([(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
[[1,3],[2,5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2],[4,5]]=>([(0,1),(1,2),(1,3),(1,6),(2,4),(2,13),(3,10),(4,11),(5,8),(5,9),(6,10),(6,13),(7,14),(8,14),(9,14),(10,12),(11,7),(11,9),(12,7),(12,8),(13,5),(13,11),(13,12)],15)
[[1,4],[2,5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2],[5,5]]=>([(0,1),(1,3),(1,4),(1,7),(2,11),(3,5),(3,15),(4,12),(5,13),(6,9),(6,10),(7,12),(7,15),(8,16),(9,16),(10,2),(10,16),(12,14),(13,8),(13,10),(14,8),(14,9),(15,6),(15,13),(15,14),(16,11)],17)
[[1,3],[3,5]]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
[[1,3],[4,5]]=>([(0,2),(1,3),(2,6),(2,7),(2,8),(3,13),(4,17),(5,11),(5,14),(6,15),(6,18),(7,12),(7,15),(8,4),(8,12),(8,18),(9,19),(11,19),(12,1),(13,10),(14,13),(14,19),(15,16),(16,9),(16,14),(17,9),(17,11),(18,5),(18,16),(18,17),(19,10)],20)
[[1,4],[3,5]]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
[[1,3],[5,5]]=>([(0,2),(1,4),(2,7),(2,8),(2,9),(3,16),(4,14),(5,20),(6,12),(6,17),(7,18),(7,21),(8,13),(8,18),(9,5),(9,13),(9,21),(11,22),(12,3),(12,22),(13,1),(14,15),(15,10),(16,10),(17,14),(17,22),(18,19),(19,11),(19,17),(20,11),(20,12),(21,6),(21,19),(21,20),(22,15),(22,16)],23)
[[1,4],[4,5]]=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
[[1,4],[5,5]]=>([(0,1),(1,8),(1,9),(1,10),(2,13),(3,20),(4,12),(5,6),(5,18),(6,21),(6,22),(7,15),(7,23),(8,25),(8,28),(9,24),(9,25),(10,11),(10,24),(10,28),(11,16),(11,27),(13,4),(14,29),(15,3),(15,29),(16,18),(17,12),(18,2),(18,21),(19,17),(20,17),(21,13),(22,19),(23,22),(23,29),(24,5),(24,16),(25,26),(26,14),(26,23),(27,14),(27,15),(28,7),(28,26),(28,27),(29,19),(29,20)],30)
[[2,2],[3,5]]=>([(0,1),(1,3),(1,4),(1,6),(2,10),(3,11),(4,5),(4,13),(5,8),(6,11),(6,13),(8,9),(9,7),(10,7),(11,2),(11,12),(12,9),(12,10),(13,8),(13,12)],14)
[[2,2],[4,5]]=>([(0,1),(1,3),(1,4),(1,7),(2,15),(3,13),(4,5),(4,16),(5,14),(6,10),(6,12),(7,13),(7,16),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,2),(13,17),(14,10),(14,11),(15,8),(15,9),(16,6),(16,14),(16,17),(17,11),(17,12),(17,15),(18,19)],20)
[[2,2],[5,5]]=>([(0,1),(1,4),(1,5),(1,8),(2,15),(3,18),(4,16),(5,6),(5,19),(6,17),(7,12),(7,14),(8,16),(8,19),(10,22),(11,22),(12,2),(12,21),(13,11),(13,21),(14,10),(14,21),(15,9),(16,3),(16,20),(17,12),(17,13),(18,10),(18,11),(19,7),(19,17),(19,20),(20,13),(20,14),(20,18),(21,15),(21,22),(22,9)],23)
[[2,3],[3,5]]=>([(0,1),(1,5),(1,6),(1,7),(2,19),(3,4),(3,15),(4,10),(4,11),(5,17),(5,20),(6,16),(6,17),(7,8),(7,16),(7,20),(8,12),(8,13),(9,21),(10,21),(11,21),(12,14),(13,15),(14,9),(15,10),(16,3),(16,13),(17,2),(17,18),(18,14),(18,19),(19,9),(19,11),(20,12),(20,18)],22)
[[2,3],[4,5]]=>([(0,2),(1,9),(2,6),(2,7),(2,8),(3,23),(4,19),(5,13),(5,20),(6,18),(6,21),(7,15),(7,18),(8,4),(8,15),(8,21),(9,14),(9,17),(10,26),(11,25),(12,24),(12,25),(13,27),(14,24),(15,1),(16,11),(16,27),(17,10),(17,24),(18,3),(18,22),(19,13),(19,16),(20,12),(20,17),(20,27),(21,5),(21,19),(21,22),(22,16),(22,20),(22,23),(23,11),(23,12),(23,14),(24,26),(25,26),(27,10),(27,25)],28)
[[2,4],[3,5]]=>([(0,1),(1,6),(1,7),(1,8),(2,22),(3,17),(4,5),(4,16),(5,12),(5,18),(6,20),(6,23),(7,19),(7,20),(8,9),(8,19),(8,23),(9,13),(9,14),(10,24),(12,24),(13,15),(14,16),(15,10),(16,3),(16,18),(17,11),(18,17),(18,24),(19,4),(19,14),(20,2),(20,21),(21,15),(21,22),(22,10),(22,12),(23,13),(23,21),(24,11)],25)
[[2,3],[5,5]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,23),(4,27),(5,22),(6,16),(6,24),(7,21),(7,25),(8,17),(8,21),(9,5),(9,17),(9,25),(10,15),(10,20),(11,30),(12,30),(13,32),(14,28),(14,32),(15,28),(16,3),(16,29),(17,1),(18,13),(18,29),(19,11),(19,31),(20,19),(20,28),(21,4),(21,26),(22,16),(22,18),(23,11),(23,12),(24,14),(24,20),(24,29),(25,6),(25,22),(25,26),(26,18),(26,24),(26,27),(27,13),(27,14),(27,15),(28,31),(29,19),(29,23),(29,32),(31,30),(32,12),(32,31)],33)
[[2,4],[4,5]]=>([(0,1),(1,7),(1,8),(1,9),(2,24),(3,18),(4,11),(5,6),(5,17),(6,13),(6,20),(7,22),(7,25),(8,21),(8,22),(9,10),(9,21),(9,25),(10,14),(10,15),(12,26),(13,26),(14,16),(15,17),(16,12),(17,3),(17,20),(18,4),(18,19),(19,11),(20,18),(20,26),(21,5),(21,15),(22,2),(22,23),(23,16),(23,24),(24,12),(24,13),(25,14),(25,23),(26,19)],27)
[[2,4],[5,5]]=>([(0,1),(1,8),(1,9),(1,10),(2,36),(3,32),(4,28),(5,12),(5,26),(6,19),(6,33),(7,17),(7,18),(8,30),(8,34),(9,29),(9,30),(10,11),(10,29),(10,34),(11,22),(11,31),(12,14),(12,25),(12,27),(13,38),(13,42),(14,37),(14,42),(15,37),(15,38),(16,39),(17,40),(18,40),(19,3),(19,43),(20,21),(20,41),(21,17),(21,39),(22,26),(23,18),(24,13),(24,43),(25,28),(25,42),(26,4),(26,25),(27,20),(27,37),(28,7),(28,23),(29,5),(29,22),(30,2),(30,35),(31,19),(31,24),(32,16),(32,21),(33,15),(33,27),(33,43),(34,6),(34,31),(34,35),(35,24),(35,33),(35,36),(36,13),(36,14),(36,15),(37,41),(38,16),(38,41),(39,40),(41,39),(42,23),(43,20),(43,32),(43,38)],44)
[[3,3],[4,5]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,25),(4,11),(5,21),(6,15),(6,22),(7,20),(7,23),(8,17),(8,20),(9,5),(9,17),(9,23),(10,16),(10,19),(12,29),(13,27),(14,26),(14,27),(15,28),(16,26),(17,1),(18,13),(18,28),(19,12),(19,26),(20,3),(20,24),(21,15),(21,18),(22,14),(22,19),(22,28),(23,6),(23,21),(23,24),(24,18),(24,22),(24,25),(25,13),(25,14),(25,16),(26,4),(26,29),(27,29),(28,12),(28,27),(29,11)],30)
[[3,3],[5,5]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,26),(4,30),(5,21),(6,25),(7,18),(7,27),(8,24),(8,28),(9,19),(9,24),(10,6),(10,19),(10,28),(11,17),(11,23),(12,35),(13,34),(14,34),(16,31),(16,35),(17,31),(18,3),(18,32),(19,1),(20,12),(20,32),(21,15),(22,14),(22,33),(23,22),(23,31),(24,4),(24,29),(25,18),(25,20),(26,13),(26,14),(27,16),(27,23),(27,32),(28,7),(28,25),(28,29),(29,20),(29,27),(29,30),(30,12),(30,16),(30,17),(31,5),(31,33),(32,22),(32,26),(32,35),(33,21),(33,34),(34,15),(35,13),(35,33)],36)
[[3,4],[4,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,27),(3,28),(4,34),(5,26),(6,12),(6,29),(7,17),(7,32),(8,19),(8,30),(9,25),(9,31),(10,24),(10,25),(11,8),(11,24),(11,31),(12,16),(12,21),(12,22),(13,36),(13,39),(14,36),(14,37),(16,37),(16,39),(17,35),(18,38),(19,29),(20,26),(21,18),(21,37),(22,28),(22,39),(23,13),(23,35),(24,6),(24,19),(25,4),(25,33),(26,15),(27,15),(28,5),(28,20),(29,3),(29,22),(30,17),(30,23),(31,7),(31,30),(31,33),(32,14),(32,21),(32,35),(33,23),(33,32),(33,34),(34,13),(34,14),(34,16),(35,18),(35,36),(36,38),(37,2),(37,38),(38,27),(39,20)],40)
[[3,4],[5,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,40),(3,30),(4,35),(5,13),(5,28),(6,36),(7,21),(7,31),(8,20),(8,37),(9,33),(9,38),(10,32),(10,33),(11,12),(11,32),(11,38),(12,23),(12,34),(13,16),(13,26),(13,27),(14,42),(14,48),(15,41),(15,42),(16,41),(16,48),(17,43),(18,44),(19,43),(20,4),(20,47),(21,45),(22,31),(23,28),(24,29),(24,46),(25,14),(25,47),(26,30),(26,48),(27,24),(27,41),(28,3),(28,26),(29,21),(29,44),(30,7),(30,22),(31,17),(31,45),(32,5),(32,23),(33,2),(33,39),(34,20),(34,25),(35,18),(35,29),(36,17),(36,19),(37,15),(37,27),(37,47),(38,8),(38,34),(38,39),(39,25),(39,37),(39,40),(40,14),(40,15),(40,16),(41,6),(41,46),(42,18),(42,46),(44,19),(44,45),(45,43),(46,36),(46,44),(47,24),(47,35),(47,42),(48,22)],49)
[[4,4],[5,5]]=>([(0,2),(2,10),(2,11),(2,12),(3,41),(4,31),(5,36),(6,14),(6,29),(7,37),(8,22),(8,32),(9,21),(9,38),(10,34),(10,39),(11,33),(11,34),(12,13),(12,33),(12,39),(13,24),(13,35),(14,17),(14,27),(14,28),(15,43),(15,49),(16,42),(16,43),(17,42),(17,49),(18,44),(19,45),(20,44),(21,5),(21,48),(22,46),(23,32),(24,29),(25,30),(25,47),(26,15),(26,48),(27,31),(27,49),(28,25),(28,42),(29,4),(29,27),(30,22),(30,45),(31,8),(31,23),(32,18),(32,46),(33,6),(33,24),(34,3),(34,40),(35,21),(35,26),(36,19),(36,30),(37,18),(37,20),(38,16),(38,28),(38,48),(39,9),(39,35),(39,40),(40,26),(40,38),(40,41),(41,15),(41,16),(41,17),(42,7),(42,47),(43,19),(43,47),(44,1),(45,20),(45,46),(46,44),(47,37),(47,45),(48,25),(48,36),(48,43),(49,23)],50)
[[1,1],[2],[5]]=>([(0,2),(2,1)],3)
[[1,1],[3],[5]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1],[4],[5]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2],[2],[5]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,2],[3],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,3],[2],[5]]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
[[1,5],[2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2],[4],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,4],[2],[5]]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
[[1,5],[2],[4]]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
[[1,5],[2],[5]]=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
[[1,3],[3],[5]]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
[[1,3],[4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,4],[3],[5]]=>([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12)
[[1,5],[3],[4]]=>([(0,4),(0,7),(1,9),(2,10),(3,9),(3,10),(4,11),(5,8),(6,1),(7,5),(7,11),(8,2),(8,3),(9,12),(10,12),(11,6)],13)
[[1,5],[3],[5]]=>([(0,5),(0,8),(1,12),(2,14),(3,10),(4,10),(4,14),(5,11),(6,9),(7,3),(8,6),(8,11),(9,2),(9,4),(10,13),(11,7),(13,12),(14,1),(14,13)],15)
[[1,4],[4],[5]]=>([(0,5),(0,7),(2,10),(3,12),(4,8),(5,9),(6,4),(6,11),(7,2),(7,9),(8,12),(9,6),(9,10),(10,11),(11,3),(11,8),(12,1)],13)
[[1,5],[4],[5]]=>([(0,10),(0,11),(1,13),(1,14),(2,21),(3,20),(4,14),(4,20),(5,17),(6,16),(7,18),(8,12),(9,1),(9,22),(10,5),(10,15),(11,8),(11,15),(12,3),(12,4),(13,21),(14,19),(15,9),(15,17),(17,22),(18,16),(19,18),(20,7),(20,19),(21,6),(22,2),(22,13)],23)
[[2,2],[3],[5]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[2,2],[4],[5]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[2,3],[3],[5]]=>([(0,4),(0,8),(1,9),(1,12),(2,9),(2,13),(3,11),(3,15),(4,10),(5,6),(5,11),(6,1),(6,14),(7,2),(7,16),(8,3),(8,5),(8,10),(9,17),(10,7),(10,15),(11,14),(12,17),(13,17),(14,12),(15,16),(16,13)],18)
[[2,3],[4],[5]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[2,4],[3],[5]]=>([(0,5),(0,6),(1,17),(2,9),(2,19),(3,4),(3,18),(4,8),(4,13),(5,16),(6,3),(6,7),(6,16),(7,14),(7,18),(8,10),(8,11),(9,11),(9,15),(10,20),(11,20),(13,10),(14,19),(15,17),(15,20),(16,2),(16,14),(17,12),(18,13),(19,1),(19,15),(20,12)],21)
[[2,5],[3],[4]]=>([(0,9),(0,10),(1,14),(2,13),(3,12),(3,14),(4,12),(4,13),(5,8),(6,3),(7,11),(8,1),(9,5),(9,18),(10,7),(10,18),(11,2),(11,4),(12,15),(12,16),(13,15),(14,16),(15,17),(16,17),(18,6)],19)
[[2,5],[3],[5]]=>([(0,10),(0,11),(1,13),(2,13),(2,15),(3,14),(4,14),(4,15),(5,16),(6,8),(7,12),(8,1),(9,2),(10,6),(10,21),(11,7),(11,21),(12,3),(12,4),(13,20),(14,5),(14,19),(15,19),(15,20),(16,17),(18,17),(19,16),(19,18),(20,18),(21,9)],22)
[[2,4],[4],[5]]=>([(0,6),(0,7),(1,21),(2,13),(3,10),(3,20),(4,5),(4,19),(5,9),(5,14),(6,18),(7,4),(7,8),(7,18),(8,15),(8,19),(9,11),(9,12),(10,12),(10,16),(11,22),(12,22),(14,11),(15,20),(16,21),(16,22),(17,13),(18,3),(18,15),(19,14),(20,1),(20,16),(21,2),(21,17),(22,17)],23)
[[2,5],[4],[5]]=>([(0,9),(0,10),(1,2),(2,3),(2,12),(3,31),(4,34),(5,28),(6,8),(6,29),(7,15),(7,30),(8,13),(8,21),(9,1),(9,27),(10,6),(10,11),(10,27),(11,25),(11,29),(12,31),(12,33),(13,16),(13,26),(14,18),(14,19),(15,24),(15,26),(15,33),(16,36),(17,35),(18,35),(19,35),(20,22),(21,16),(22,17),(23,18),(24,28),(24,36),(25,30),(26,20),(26,36),(27,7),(27,25),(28,14),(28,23),(29,21),(30,5),(30,24),(31,4),(31,32),(32,22),(32,34),(33,20),(33,32),(34,17),(34,19),(36,23)],37)
[[3,3],[4],[5]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[3,4],[4],[5]]=>([(0,9),(0,10),(1,26),(2,16),(3,23),(4,25),(5,13),(5,24),(6,8),(6,27),(7,15),(8,12),(8,28),(9,22),(10,6),(10,11),(10,22),(11,18),(11,27),(12,14),(12,20),(13,14),(13,19),(14,29),(16,7),(17,16),(18,24),(19,25),(19,29),(20,17),(20,29),(21,23),(22,5),(22,18),(23,15),(24,4),(24,19),(25,3),(25,21),(26,2),(26,17),(27,1),(27,28),(28,20),(28,26),(29,21)],30)
[[3,5],[4],[5]]=>([(0,12),(0,13),(1,2),(2,4),(2,16),(3,36),(4,37),(5,42),(6,34),(7,22),(8,33),(9,11),(9,38),(10,18),(10,35),(11,17),(11,40),(12,1),(12,32),(13,9),(13,15),(13,32),(14,20),(14,31),(15,28),(15,38),(16,37),(16,41),(17,29),(17,30),(18,27),(18,30),(18,41),(19,43),(20,43),(22,8),(23,26),(24,22),(25,31),(26,19),(27,34),(27,44),(28,35),(29,24),(29,44),(30,23),(30,44),(31,33),(31,43),(32,10),(32,28),(33,21),(34,14),(34,25),(35,6),(35,27),(36,7),(36,24),(37,5),(37,39),(38,3),(38,40),(39,26),(39,42),(40,29),(40,36),(41,23),(41,39),(42,19),(42,20),(43,21),(44,25)],45)
[[1],[2],[3],[5]]=>([(0,1)],2)
[[1],[2],[4],[5]]=>([(0,2),(2,1)],3)
[[1],[3],[4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[2],[3],[4],[5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,6]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,6]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,1,3,6]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,1,4,6]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,1,5,6]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,1,6,6]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,2,2,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
[[1,2,3,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,5),(3,16),(4,18),(5,17),(6,4),(6,20),(7,6),(7,19),(8,9),(8,13),(9,21),(10,22),(11,22),(12,14),(12,21),(13,15),(13,21),(14,10),(14,23),(15,11),(15,23),(16,8),(16,17),(16,19),(17,9),(17,12),(18,10),(18,11),(19,12),(19,13),(19,20),(20,14),(20,15),(20,18),(21,23),(23,22)],24)
[[1,2,4,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,19),(3,6),(3,19),(4,21),(5,22),(6,7),(6,24),(7,4),(7,23),(8,13),(8,18),(9,11),(9,15),(10,29),(11,25),(12,26),(13,27),(14,16),(14,25),(15,8),(15,20),(15,25),(16,12),(16,28),(17,10),(17,26),(18,10),(18,27),(19,9),(19,22),(19,24),(20,17),(20,18),(20,28),(21,12),(21,17),(22,11),(22,14),(23,16),(23,20),(23,21),(24,14),(24,15),(24,23),(25,13),(25,28),(26,29),(27,29),(28,26),(28,27)],30)
[[1,2,5,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,6),(3,22),(4,25),(5,24),(6,7),(6,27),(7,4),(7,26),(8,15),(8,21),(9,13),(9,14),(10,11),(10,18),(11,28),(12,31),(13,29),(14,29),(15,30),(16,13),(16,33),(17,20),(17,28),(18,8),(18,23),(18,28),(19,16),(19,31),(20,12),(20,32),(21,9),(21,16),(21,30),(22,10),(22,24),(22,27),(23,19),(23,21),(23,32),(24,11),(24,17),(25,12),(25,19),(26,20),(26,23),(26,25),(27,17),(27,18),(27,26),(28,15),(28,32),(30,14),(30,33),(31,33),(32,30),(32,31),(33,29)],34)
[[1,2,6,6]]=>([(0,1),(1,3),(1,4),(2,12),(3,6),(3,25),(4,7),(4,25),(5,26),(6,27),(7,8),(7,29),(8,5),(8,28),(9,13),(9,14),(10,15),(10,20),(11,16),(11,21),(13,35),(14,2),(14,35),(15,33),(16,34),(17,32),(18,19),(18,33),(19,17),(19,30),(20,11),(20,24),(20,33),(21,9),(21,22),(21,34),(22,14),(22,31),(23,22),(23,32),(24,21),(24,23),(24,30),(25,10),(25,27),(25,29),(26,17),(26,23),(27,15),(27,18),(28,19),(28,24),(28,26),(29,18),(29,20),(29,28),(30,32),(30,34),(31,35),(32,31),(33,16),(33,30),(34,13),(34,31),(35,12)],36)
[[1,3,3,6]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,20),(4,6),(4,20),(5,22),(6,21),(7,5),(7,24),(8,7),(8,23),(9,13),(9,17),(10,25),(11,25),(13,2),(13,26),(14,10),(14,27),(15,11),(15,27),(16,15),(16,26),(17,14),(17,26),(18,19),(19,12),(20,9),(20,21),(20,23),(21,13),(21,16),(22,10),(22,11),(23,16),(23,17),(23,24),(24,14),(24,15),(24,22),(25,12),(26,18),(26,27),(27,19),(27,25)],28)
[[1,3,4,6]]=>([(0,1),(1,3),(1,4),(2,24),(3,6),(3,25),(4,8),(4,25),(5,27),(6,26),(7,5),(7,29),(8,7),(8,28),(9,13),(9,19),(10,21),(10,22),(11,34),(12,32),(13,2),(13,35),(14,31),(15,33),(16,14),(16,36),(17,15),(17,32),(18,16),(18,35),(19,10),(19,23),(19,35),(20,11),(20,31),(21,12),(21,30),(22,11),(22,30),(23,20),(23,22),(23,36),(24,12),(24,17),(25,9),(25,26),(25,28),(26,13),(26,18),(27,14),(27,20),(28,18),(28,19),(28,29),(29,16),(29,23),(29,27),(30,32),(30,34),(31,15),(31,34),(32,33),(34,33),(35,21),(35,24),(35,36),(36,17),(36,30),(36,31)],37)
[[1,3,5,6]]=>([(0,1),(1,3),(1,4),(2,28),(3,6),(3,29),(4,8),(4,29),(5,30),(6,31),(7,5),(7,33),(8,7),(8,32),(9,21),(9,24),(10,12),(10,22),(11,13),(11,23),(12,37),(13,2),(13,40),(14,34),(15,35),(16,39),(17,38),(18,14),(18,42),(19,18),(19,40),(20,12),(20,36),(21,15),(21,41),(22,17),(22,37),(23,9),(23,27),(23,40),(24,10),(24,20),(24,41),(25,16),(25,35),(26,20),(26,34),(27,24),(27,26),(27,42),(28,15),(28,25),(29,11),(29,31),(29,32),(30,14),(30,26),(31,13),(31,19),(32,19),(32,23),(32,33),(33,18),(33,27),(33,30),(34,16),(34,36),(35,17),(35,39),(36,37),(36,39),(37,38),(39,38),(40,21),(40,28),(40,42),(41,22),(41,35),(41,36),(42,25),(42,34),(42,41)],43)
[[1,3,6,6]]=>([(0,1),(1,4),(1,5),(2,33),(3,29),(4,7),(4,34),(5,8),(5,34),(6,9),(6,36),(7,6),(7,35),(8,32),(9,30),(10,23),(10,26),(11,18),(11,24),(12,19),(12,25),(13,38),(14,37),(15,40),(16,41),(18,3),(18,43),(19,2),(19,42),(20,14),(20,45),(21,18),(21,39),(22,20),(22,42),(23,13),(23,44),(24,15),(24,43),(25,10),(25,31),(25,42),(26,11),(26,21),(26,44),(27,21),(27,37),(28,16),(28,38),(29,17),(30,14),(30,27),(31,26),(31,27),(31,45),(32,19),(32,22),(33,13),(33,28),(34,12),(34,32),(34,35),(35,22),(35,25),(35,36),(36,20),(36,30),(36,31),(37,16),(37,39),(38,15),(38,41),(39,41),(39,43),(40,17),(41,40),(42,23),(42,33),(42,45),(43,29),(43,40),(44,24),(44,38),(44,39),(45,28),(45,37),(45,44)],46)
[[1,4,4,6]]=>([(0,1),(1,4),(1,5),(2,29),(3,25),(4,7),(4,30),(5,8),(5,30),(6,9),(6,32),(7,6),(7,31),(8,28),(9,27),(10,23),(10,24),(11,17),(11,21),(12,36),(13,34),(14,35),(16,3),(16,39),(17,2),(17,37),(18,13),(18,38),(19,14),(19,39),(20,18),(20,37),(21,10),(21,26),(21,37),(22,12),(22,34),(23,16),(23,33),(24,12),(24,33),(25,15),(26,22),(26,24),(26,38),(27,13),(27,22),(28,17),(28,20),(29,16),(29,19),(30,11),(30,28),(30,31),(31,20),(31,21),(31,32),(32,18),(32,26),(32,27),(33,36),(33,39),(34,14),(34,36),(35,15),(36,35),(37,23),(37,29),(37,38),(38,19),(38,33),(38,34),(39,25),(39,35)],40)
[[1,4,5,6]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[1,4,6,6]]=>([(0,1),(1,5),(1,6),(2,38),(3,37),(4,33),(5,9),(5,39),(6,10),(6,39),(7,8),(7,41),(8,35),(9,7),(9,40),(10,34),(11,27),(11,32),(12,19),(12,29),(13,20),(13,25),(14,45),(15,44),(17,43),(18,44),(19,4),(19,47),(20,3),(20,46),(21,2),(21,48),(22,23),(22,43),(23,19),(23,42),(24,26),(24,46),(25,11),(25,36),(25,46),(26,17),(26,50),(27,12),(27,23),(27,51),(28,16),(29,30),(29,47),(30,18),(30,49),(31,14),(31,48),(32,21),(32,51),(33,28),(34,20),(34,24),(35,17),(35,22),(36,22),(36,27),(36,50),(37,21),(37,31),(38,15),(38,18),(39,13),(39,34),(39,40),(40,24),(40,25),(40,41),(41,26),(41,35),(41,36),(42,45),(42,47),(43,14),(43,42),(44,16),(45,15),(45,49),(46,32),(46,37),(46,50),(47,33),(47,49),(48,30),(48,38),(48,45),(49,28),(49,44),(50,31),(50,43),(50,51),(51,29),(51,42),(51,48)],52)
[[1,5,5,6]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,21),(5,9),(5,37),(6,10),(6,37),(7,8),(7,39),(8,34),(9,7),(9,38),(10,33),(11,27),(11,29),(12,15),(12,31),(13,19),(13,28),(14,40),(15,41),(16,42),(17,43),(18,3),(18,49),(19,2),(19,46),(20,4),(20,43),(22,20),(22,45),(23,16),(23,49),(24,30),(24,40),(25,26),(25,46),(26,14),(26,48),(27,18),(27,47),(28,11),(28,32),(28,46),(29,12),(29,30),(29,47),(30,15),(30,44),(31,22),(31,41),(32,24),(32,29),(32,48),(33,19),(33,25),(34,14),(34,24),(35,17),(35,20),(36,18),(36,23),(37,13),(37,33),(37,38),(38,25),(38,28),(38,39),(39,26),(39,32),(39,34),(40,16),(40,44),(41,45),(42,17),(42,45),(43,21),(44,41),(44,42),(45,43),(46,27),(46,36),(46,48),(47,31),(47,44),(47,49),(48,23),(48,40),(48,47),(49,22),(49,35),(49,42)],50)
[[1,5,6,6]]=>([(0,1),(1,6),(1,7),(2,41),(3,36),(4,40),(5,35),(6,10),(6,42),(7,11),(7,42),(8,9),(8,44),(9,38),(10,8),(10,43),(11,37),(12,29),(12,34),(13,20),(13,31),(14,21),(14,27),(15,47),(16,46),(18,54),(19,5),(19,54),(20,3),(20,49),(21,4),(21,48),(22,2),(22,50),(23,24),(23,46),(24,20),(24,45),(25,28),(25,48),(26,17),(27,12),(27,39),(27,48),(28,16),(28,52),(29,13),(29,24),(29,53),(30,26),(31,32),(31,49),(32,19),(32,51),(33,15),(33,50),(34,22),(34,53),(35,17),(36,30),(37,21),(37,25),(38,16),(38,23),(39,23),(39,29),(39,52),(40,22),(40,33),(41,18),(41,19),(42,14),(42,37),(42,43),(43,25),(43,27),(43,44),(44,28),(44,38),(44,39),(45,47),(45,49),(46,15),(46,45),(47,18),(47,51),(48,34),(48,40),(48,52),(49,36),(49,51),(50,32),(50,41),(50,47),(51,30),(51,54),(52,33),(52,46),(52,53),(53,31),(53,45),(53,50),(54,26),(54,35)],55)
[[1,6,6,6]]=>([(0,2),(2,7),(2,8),(3,42),(4,37),(5,41),(6,36),(7,11),(7,43),(8,12),(8,43),(9,10),(9,45),(10,39),(11,9),(11,44),(12,38),(13,30),(13,35),(14,21),(14,32),(15,22),(15,28),(16,48),(17,47),(18,55),(19,1),(20,6),(20,55),(21,4),(21,50),(22,5),(22,49),(23,3),(23,51),(24,26),(24,47),(25,19),(26,21),(26,46),(27,29),(27,49),(28,13),(28,40),(28,49),(29,17),(29,53),(30,14),(30,26),(30,54),(31,25),(32,33),(32,50),(33,20),(33,52),(34,16),(34,51),(35,23),(35,54),(36,19),(37,31),(38,22),(38,27),(39,17),(39,24),(40,24),(40,30),(40,53),(41,23),(41,34),(42,18),(42,20),(43,15),(43,38),(43,44),(44,27),(44,28),(44,45),(45,29),(45,39),(45,40),(46,48),(46,50),(47,16),(47,46),(48,18),(48,52),(49,35),(49,41),(49,53),(50,37),(50,52),(51,33),(51,42),(51,48),(52,31),(52,55),(53,34),(53,47),(53,54),(54,32),(54,46),(54,51),(55,25),(55,36)],56)
[[2,2,2,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,8),(3,16),(4,14),(5,13),(6,4),(6,19),(7,5),(7,20),(8,6),(8,18),(10,12),(11,9),(12,9),(13,10),(14,11),(15,10),(15,17),(16,18),(16,20),(17,11),(17,12),(18,15),(18,19),(19,14),(19,17),(20,13),(20,15)],21)
[[2,2,3,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,20),(3,8),(3,20),(4,23),(5,22),(6,5),(6,24),(7,6),(7,25),(8,4),(8,26),(9,14),(9,15),(10,32),(11,29),(12,28),(13,10),(13,31),(14,18),(14,27),(15,11),(15,27),(16,10),(16,28),(17,13),(17,29),(18,12),(18,30),(19,17),(19,21),(19,27),(20,9),(20,25),(20,26),(21,13),(21,16),(21,30),(22,12),(22,16),(23,11),(23,17),(24,18),(24,21),(24,22),(25,14),(25,19),(25,24),(26,15),(26,19),(26,23),(27,29),(27,30),(28,32),(29,31),(30,28),(30,31),(31,32)],33)
[[2,2,4,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,8),(3,26),(4,28),(5,27),(6,5),(6,31),(7,6),(7,29),(8,4),(8,30),(9,19),(9,21),(10,18),(10,20),(11,32),(12,38),(13,37),(14,36),(15,22),(15,32),(16,12),(16,35),(17,13),(17,35),(18,14),(18,34),(19,11),(19,41),(20,12),(20,34),(21,10),(21,23),(21,41),(22,13),(22,39),(23,16),(23,20),(23,33),(24,15),(24,25),(24,41),(25,17),(25,22),(25,33),(26,9),(26,29),(26,30),(27,16),(27,17),(28,11),(28,15),(29,21),(29,24),(29,31),(30,19),(30,24),(30,28),(31,23),(31,25),(31,27),(32,14),(32,39),(33,34),(33,35),(33,39),(34,36),(34,38),(35,37),(35,38),(36,40),(37,40),(38,40),(39,36),(39,37),(41,18),(41,32),(41,33)],42)
[[2,2,5,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,30),(3,8),(3,30),(4,32),(5,31),(6,5),(6,35),(7,6),(7,34),(8,4),(8,33),(9,20),(9,21),(10,19),(10,22),(11,14),(11,26),(12,43),(13,36),(14,38),(15,42),(16,39),(17,18),(17,36),(18,12),(18,44),(19,16),(19,47),(20,13),(20,46),(21,10),(21,27),(21,46),(22,11),(22,23),(22,47),(23,14),(23,41),(24,23),(24,40),(25,12),(25,40),(26,15),(26,38),(27,22),(27,24),(27,37),(28,17),(28,29),(28,46),(29,18),(29,25),(29,37),(30,9),(30,33),(30,34),(31,24),(31,25),(32,13),(32,17),(33,20),(33,28),(33,32),(34,21),(34,28),(34,35),(35,27),(35,29),(35,31),(36,16),(36,44),(37,40),(37,44),(37,47),(38,42),(39,15),(39,45),(40,41),(40,43),(41,38),(41,45),(43,45),(44,39),(44,43),(45,42),(46,19),(46,36),(46,37),(47,26),(47,39),(47,41)],48)
[[2,2,6,6]]=>([(0,1),(1,3),(1,4),(2,19),(3,8),(3,33),(4,9),(4,33),(5,35),(6,34),(7,6),(7,38),(8,7),(8,37),(9,5),(9,36),(10,24),(10,25),(11,23),(11,26),(12,15),(12,22),(13,45),(14,39),(15,2),(15,50),(17,42),(18,43),(19,16),(20,21),(20,39),(21,13),(21,46),(22,17),(22,50),(23,18),(23,49),(24,14),(24,48),(25,11),(25,30),(25,48),(26,12),(26,27),(26,49),(27,15),(27,41),(28,27),(28,44),(29,13),(29,44),(30,26),(30,28),(30,40),(31,20),(31,32),(31,48),(32,21),(32,29),(32,40),(33,10),(33,36),(33,37),(34,28),(34,29),(35,14),(35,20),(36,24),(36,31),(36,35),(37,25),(37,31),(37,38),(38,30),(38,32),(38,34),(39,18),(39,46),(40,44),(40,46),(40,49),(41,47),(41,50),(42,16),(43,17),(43,47),(44,41),(44,45),(45,47),(46,43),(46,45),(47,42),(48,23),(48,39),(48,40),(49,22),(49,41),(49,43),(50,19),(50,42)],51)
[[2,3,3,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,8),(3,26),(4,28),(5,27),(6,4),(6,29),(7,5),(7,31),(8,6),(8,30),(9,21),(9,22),(10,12),(10,20),(11,33),(12,34),(13,37),(14,36),(15,12),(15,32),(16,13),(16,35),(17,13),(17,33),(18,16),(18,32),(19,11),(19,39),(20,23),(20,34),(21,19),(21,40),(22,10),(22,15),(22,40),(23,14),(23,38),(24,18),(24,25),(24,40),(25,16),(25,17),(25,39),(26,9),(26,30),(26,31),(27,15),(27,18),(28,11),(28,17),(29,19),(29,25),(29,28),(30,21),(30,24),(30,29),(31,22),(31,24),(31,27),(32,34),(32,35),(33,14),(33,37),(34,38),(35,37),(35,38),(37,36),(38,36),(39,23),(39,33),(39,35),(40,20),(40,32),(40,39)],41)
[[2,3,4,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,30),(3,8),(3,30),(4,34),(5,33),(6,5),(6,37),(7,6),(7,35),(8,4),(8,36),(9,23),(9,32),(10,24),(10,25),(11,13),(11,31),(12,42),(12,44),(13,43),(14,50),(15,49),(16,42),(16,48),(17,46),(17,47),(18,13),(18,41),(19,15),(19,45),(20,19),(20,41),(21,14),(21,40),(22,15),(22,40),(23,14),(23,39),(24,11),(24,18),(24,38),(25,9),(25,27),(25,38),(26,17),(26,44),(26,51),(27,21),(27,23),(27,53),(28,20),(28,29),(28,38),(29,19),(29,22),(29,53),(30,10),(30,35),(30,36),(31,12),(31,26),(31,43),(32,12),(32,16),(32,39),(33,21),(33,22),(34,18),(34,20),(35,25),(35,28),(35,37),(36,24),(36,28),(36,34),(37,27),(37,29),(37,33),(38,31),(38,32),(38,41),(38,53),(39,44),(39,48),(39,50),(40,17),(40,49),(40,50),(41,16),(41,43),(41,45),(42,54),(43,42),(43,51),(44,46),(44,54),(45,48),(45,49),(45,51),(46,55),(47,55),(48,52),(48,54),(49,47),(49,52),(50,46),(50,52),(51,47),(51,54),(52,55),(53,26),(53,39),(53,40),(53,45),(54,55)],56)
[[2,3,5,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,34),(3,8),(3,34),(4,39),(5,38),(6,5),(6,42),(7,6),(7,40),(8,4),(8,41),(9,28),(9,36),(10,26),(10,27),(11,15),(11,37),(12,14),(12,35),(13,48),(13,49),(14,50),(15,51),(16,59),(17,44),(17,56),(18,44),(18,55),(19,48),(19,53),(20,54),(20,60),(21,16),(21,52),(22,30),(22,46),(23,16),(23,46),(24,21),(24,47),(25,14),(25,47),(26,12),(26,25),(26,43),(27,9),(27,31),(27,43),(28,11),(28,30),(28,45),(29,20),(29,49),(29,57),(30,15),(30,58),(31,22),(31,28),(31,62),(32,24),(32,33),(32,43),(33,21),(33,23),(33,62),(34,10),(34,40),(34,41),(35,13),(35,29),(35,50),(36,13),(36,19),(36,45),(37,17),(37,18),(37,51),(38,22),(38,23),(39,24),(39,25),(40,27),(40,32),(40,42),(41,26),(41,32),(41,39),(42,31),(42,33),(42,38),(43,35),(43,36),(43,47),(43,62),(44,64),(45,37),(45,49),(45,53),(45,58),(46,20),(46,58),(46,59),(47,19),(47,50),(47,52),(48,63),(49,18),(49,60),(49,63),(50,48),(50,57),(51,55),(51,56),(52,53),(52,57),(52,59),(53,17),(53,61),(53,63),(54,65),(55,64),(56,64),(57,54),(57,63),(58,51),(58,60),(58,61),(59,54),(59,61),(60,55),(60,65),(61,56),(61,65),(62,29),(62,45),(62,46),(62,52),(63,44),(63,65),(65,64)],66)
[[2,3,6,6]]=>([(0,1),(1,3),(1,4),(2,38),(3,8),(3,35),(4,9),(4,35),(5,43),(6,42),(7,6),(7,44),(8,7),(8,46),(9,5),(9,45),(10,28),(10,29),(11,32),(11,41),(12,18),(12,39),(13,23),(13,40),(14,48),(14,63),(15,48),(15,66),(16,47),(17,47),(18,49),(19,54),(19,65),(20,54),(20,67),(21,51),(21,59),(22,53),(23,2),(23,52),(24,18),(24,62),(25,22),(25,64),(26,31),(26,64),(27,30),(27,62),(28,11),(28,36),(28,50),(29,12),(29,24),(29,50),(30,22),(30,56),(31,23),(31,58),(32,13),(32,31),(32,55),(33,21),(33,61),(33,65),(34,27),(34,37),(34,50),(35,10),(35,45),(35,46),(36,26),(36,32),(36,57),(37,25),(37,30),(37,57),(38,16),(38,17),(39,19),(39,33),(39,49),(40,14),(40,15),(40,52),(41,19),(41,20),(41,55),(42,25),(42,26),(43,24),(43,27),(44,36),(44,37),(44,42),(45,29),(45,34),(45,43),(46,28),(46,34),(46,44),(48,68),(49,54),(49,61),(50,39),(50,41),(50,57),(50,62),(51,66),(51,70),(52,38),(52,63),(52,66),(53,59),(53,60),(54,69),(55,40),(55,58),(55,65),(55,67),(56,53),(56,61),(56,67),(57,33),(57,55),(57,56),(57,64),(58,51),(58,52),(58,60),(59,70),(60,63),(60,70),(61,59),(61,69),(62,20),(62,49),(62,56),(63,16),(63,68),(64,21),(64,53),(64,58),(65,15),(65,51),(65,69),(66,17),(66,68),(67,14),(67,60),(67,69),(68,47),(69,48),(69,70),(70,68)],71)
[[2,4,4,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,34),(3,8),(3,34),(4,38),(5,37),(6,5),(6,41),(7,6),(7,39),(8,4),(8,40),(9,26),(9,27),(10,16),(10,36),(11,17),(11,24),(12,25),(12,35),(13,53),(14,56),(15,11),(15,49),(15,59),(16,50),(17,45),(18,46),(19,47),(19,52),(20,49),(20,55),(21,19),(21,54),(21,59),(22,14),(22,43),(23,13),(23,43),(24,18),(24,45),(25,14),(25,42),(26,10),(26,28),(26,44),(27,12),(27,31),(27,44),(28,16),(28,51),(29,30),(29,51),(30,13),(30,48),(31,22),(31,25),(31,58),(32,29),(32,33),(32,44),(33,23),(33,30),(33,58),(34,9),(34,39),(34,40),(35,15),(35,20),(35,42),(36,15),(36,21),(36,50),(37,22),(37,23),(38,28),(38,29),(39,27),(39,32),(39,41),(40,26),(40,32),(40,38),(41,31),(41,33),(41,37),(42,55),(42,56),(42,59),(43,19),(43,53),(43,56),(44,35),(44,36),(44,51),(44,58),(45,46),(47,18),(47,61),(48,53),(48,54),(48,55),(49,17),(49,60),(50,49),(50,54),(51,20),(51,48),(51,50),(52,61),(53,52),(53,57),(54,52),(54,60),(55,57),(55,60),(56,47),(56,57),(57,61),(58,21),(58,42),(58,43),(58,48),(59,24),(59,47),(59,60),(60,45),(60,61),(61,46)],62)
[[2,4,5,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,38),(3,8),(3,38),(4,43),(5,44),(6,5),(6,47),(7,6),(7,45),(8,4),(8,46),(9,29),(9,30),(10,20),(10,39),(11,17),(11,42),(12,31),(12,40),(13,18),(13,41),(14,62),(15,57),(15,64),(16,10),(16,58),(16,71),(17,53),(18,59),(19,50),(19,63),(20,52),(21,58),(21,66),(22,54),(22,61),(23,55),(23,57),(24,17),(24,68),(25,22),(25,65),(25,71),(26,24),(26,48),(27,14),(27,48),(28,15),(28,50),(28,67),(29,13),(29,32),(29,51),(30,12),(30,35),(30,51),(31,11),(31,24),(31,49),(32,18),(32,60),(33,14),(33,56),(34,33),(34,60),(35,26),(35,31),(35,70),(36,34),(36,37),(36,51),(37,27),(37,33),(37,70),(38,9),(38,45),(38,46),(39,15),(39,23),(39,52),(40,16),(40,21),(40,49),(41,16),(41,25),(41,59),(42,19),(42,28),(42,53),(43,32),(43,34),(44,26),(44,27),(45,30),(45,36),(45,47),(46,29),(46,36),(46,43),(47,35),(47,37),(47,44),(48,22),(48,62),(48,68),(49,42),(49,66),(49,68),(49,71),(50,64),(50,72),(51,40),(51,41),(51,60),(51,70),(52,55),(52,64),(53,63),(53,67),(54,23),(54,67),(54,74),(55,75),(56,62),(56,65),(56,66),(57,75),(58,20),(58,73),(59,58),(59,65),(60,21),(60,56),(60,59),(61,74),(62,61),(62,69),(63,72),(64,75),(65,61),(65,73),(66,19),(66,69),(66,73),(67,57),(67,72),(68,53),(68,54),(68,69),(69,63),(69,74),(70,25),(70,48),(70,49),(70,56),(71,28),(71,39),(71,54),(71,73),(72,75),(73,50),(73,52),(73,74),(74,55),(74,72)],76)
[[2,4,6,6]]=>([(0,1),(1,3),(1,4),(2,43),(3,8),(3,40),(4,9),(4,40),(5,48),(6,49),(7,6),(7,52),(8,7),(8,50),(9,5),(9,51),(10,31),(10,32),(11,26),(11,47),(12,35),(12,46),(13,21),(13,45),(14,20),(14,44),(15,54),(15,75),(16,73),(16,77),(17,69),(17,78),(18,56),(19,68),(19,74),(20,57),(21,53),(22,60),(23,58),(23,74),(24,59),(25,14),(25,62),(25,73),(26,2),(26,63),(27,24),(27,76),(28,34),(28,76),(29,21),(29,72),(30,33),(30,72),(31,12),(31,41),(31,55),(32,13),(32,29),(32,55),(33,24),(33,64),(34,26),(34,65),(35,11),(35,34),(35,67),(36,22),(36,56),(37,19),(37,54),(37,61),(38,17),(38,62),(38,71),(39,30),(39,42),(39,55),(40,10),(40,50),(40,51),(41,28),(41,35),(41,66),(42,27),(42,33),(42,66),(43,18),(43,36),(44,19),(44,23),(44,57),(45,25),(45,38),(45,53),(46,16),(46,25),(46,67),(47,15),(47,37),(47,63),(48,29),(48,30),(49,27),(49,28),(50,31),(50,39),(50,52),(51,32),(51,39),(51,48),(52,41),(52,42),(52,49),(53,71),(53,73),(54,68),(54,81),(55,45),(55,46),(55,66),(55,72),(56,60),(57,58),(57,68),(58,82),(59,69),(59,70),(61,36),(61,74),(61,81),(62,37),(62,44),(62,78),(62,80),(63,43),(63,61),(63,75),(64,59),(64,71),(64,77),(65,63),(65,70),(65,78),(66,38),(66,64),(66,67),(66,76),(67,47),(67,62),(67,65),(67,77),(68,82),(69,79),(70,75),(70,79),(71,69),(71,80),(72,16),(72,53),(72,64),(73,20),(73,80),(74,22),(74,82),(75,18),(75,81),(76,17),(76,59),(76,65),(77,15),(77,70),(77,80),(78,23),(78,61),(78,79),(79,58),(79,81),(80,54),(80,57),(80,79),(81,56),(81,82),(82,60)],83)
[[2,5,5,6]]=>([(0,1),(1,2),(1,3),(2,7),(2,39),(3,8),(3,39),(4,47),(5,46),(6,5),(6,48),(7,6),(7,50),(8,4),(8,49),(9,22),(9,43),(10,20),(10,21),(11,31),(11,32),(12,26),(12,45),(13,35),(13,44),(14,19),(14,42),(15,71),(15,74),(16,53),(16,67),(17,65),(17,75),(18,10),(18,69),(18,72),(19,55),(20,52),(21,52),(22,51),(23,56),(23,72),(24,57),(25,14),(25,59),(25,71),(26,60),(27,22),(27,70),(28,24),(28,73),(29,34),(29,73),(30,33),(30,70),(31,13),(31,40),(31,54),(32,9),(32,27),(32,54),(33,24),(33,61),(34,26),(34,62),(35,12),(35,34),(35,63),(36,17),(36,59),(36,68),(37,18),(37,53),(37,58),(38,30),(38,41),(38,54),(39,11),(39,49),(39,50),(40,29),(40,35),(40,64),(41,28),(41,33),(41,64),(42,18),(42,23),(42,55),(43,25),(43,36),(43,51),(44,15),(44,25),(44,63),(45,16),(45,37),(45,60),(46,28),(46,29),(47,27),(47,30),(48,40),(48,41),(48,46),(49,32),(49,38),(49,47),(50,31),(50,38),(50,48),(51,68),(51,71),(53,69),(53,77),(54,43),(54,44),(54,64),(54,70),(55,56),(55,69),(56,79),(57,65),(57,66),(58,72),(58,77),(59,37),(59,42),(59,75),(59,78),(60,58),(60,67),(61,57),(61,68),(61,74),(62,60),(62,66),(62,75),(63,45),(63,59),(63,62),(63,74),(64,36),(64,61),(64,63),(64,73),(65,76),(66,67),(66,76),(67,77),(68,65),(68,78),(69,21),(69,79),(70,15),(70,51),(70,61),(71,19),(71,78),(72,20),(72,79),(73,17),(73,57),(73,62),(74,16),(74,66),(74,78),(75,23),(75,58),(75,76),(76,56),(76,77),(77,79),(78,53),(78,55),(78,76),(79,52)],80)
[[2,5,6,6]]=>([(0,1),(1,3),(1,4),(2,48),(3,8),(3,46),(4,9),(4,46),(5,53),(6,52),(7,6),(7,56),(8,7),(8,54),(9,5),(9,55),(10,21),(10,51),(11,38),(11,49),(12,36),(12,37),(13,24),(13,35),(14,25),(14,47),(15,20),(15,50),(16,74),(17,73),(18,13),(18,78),(18,84),(19,14),(19,65),(19,81),(20,70),(21,2),(21,66),(22,59),(22,76),(23,63),(24,60),(25,61),(26,65),(26,75),(27,67),(27,77),(28,69),(28,84),(29,21),(29,79),(30,40),(30,63),(31,27),(31,72),(31,81),(32,18),(32,59),(32,83),(33,29),(33,57),(34,16),(34,57),(35,17),(35,60),(36,15),(36,39),(36,62),(37,11),(37,43),(37,62),(38,10),(38,29),(38,58),(39,20),(39,71),(40,17),(40,68),(41,16),(41,64),(42,41),(42,71),(43,33),(43,38),(43,82),(44,42),(44,45),(44,62),(45,34),(45,41),(45,82),(46,12),(46,54),(46,55),(47,18),(47,28),(47,61),(48,23),(48,30),(49,19),(49,26),(49,58),(50,19),(50,31),(50,70),(51,22),(51,32),(51,66),(52,33),(52,34),(53,39),(53,42),(54,37),(54,44),(54,56),(55,36),(55,44),(55,53),(56,43),(56,45),(56,52),(57,27),(57,74),(57,79),(58,51),(58,75),(58,79),(58,81),(59,78),(59,85),(60,73),(61,69),(61,78),(62,49),(62,50),(62,71),(62,82),(63,68),(64,72),(64,74),(64,75),(65,25),(65,86),(66,48),(66,76),(66,83),(67,28),(67,83),(67,87),(68,73),(69,88),(70,65),(70,72),(71,26),(71,64),(71,70),(72,77),(72,86),(74,77),(74,80),(75,22),(75,80),(75,86),(76,23),(76,85),(77,87),(78,24),(78,88),(79,66),(79,67),(79,80),(80,76),(80,87),(81,32),(81,47),(81,67),(81,86),(82,31),(82,57),(82,58),(82,64),(83,30),(83,84),(83,85),(84,35),(84,40),(84,88),(85,63),(85,88),(86,59),(86,61),(86,87),(87,69),(87,85),(88,60),(88,68)],89)
[[2,6,6,6]]=>([(0,1),(1,4),(1,5),(2,22),(3,49),(4,9),(4,46),(5,10),(5,46),(6,54),(7,55),(8,7),(8,58),(9,8),(9,56),(10,6),(10,57),(11,24),(11,41),(12,35),(12,36),(13,29),(13,53),(14,39),(14,52),(15,25),(15,51),(16,23),(16,50),(17,61),(17,83),(18,63),(19,81),(19,86),(20,77),(20,85),(21,2),(21,82),(23,64),(24,59),(25,60),(26,66),(27,16),(27,69),(27,81),(28,11),(28,67),(28,79),(29,3),(29,70),(30,65),(30,67),(31,25),(31,80),(32,26),(32,84),(33,38),(33,84),(34,37),(34,80),(35,14),(35,47),(35,62),(36,15),(36,31),(36,62),(37,26),(37,71),(38,29),(38,72),(39,13),(39,38),(39,74),(40,43),(40,63),(41,21),(41,59),(42,28),(42,61),(42,73),(43,21),(43,68),(44,20),(44,69),(44,78),(45,34),(45,48),(45,62),(46,12),(46,56),(46,57),(47,33),(47,39),(47,75),(48,32),(48,37),(48,75),(49,18),(49,40),(50,28),(50,30),(50,64),(51,27),(51,44),(51,60),(52,19),(52,27),(52,74),(53,17),(53,42),(53,70),(54,31),(54,34),(55,32),(55,33),(56,35),(56,45),(56,58),(57,36),(57,45),(57,54),(58,47),(58,48),(58,55),(59,82),(60,78),(60,81),(61,79),(61,89),(62,51),(62,52),(62,75),(62,80),(63,68),(64,65),(64,79),(65,90),(66,76),(66,77),(67,41),(67,43),(67,90),(68,82),(69,42),(69,50),(69,85),(69,88),(70,49),(70,73),(70,83),(71,66),(71,78),(71,86),(72,70),(72,76),(72,85),(73,40),(73,67),(73,89),(74,53),(74,69),(74,72),(74,86),(75,44),(75,71),(75,74),(75,84),(76,83),(76,87),(77,87),(78,77),(78,88),(79,24),(79,90),(80,19),(80,60),(80,71),(81,23),(81,88),(82,22),(83,18),(83,89),(84,20),(84,66),(84,72),(85,30),(85,73),(85,87),(86,17),(86,76),(86,88),(87,65),(87,89),(88,61),(88,64),(88,87),(89,63),(89,90),(90,59),(90,68)],91)
[[3,3,3,6]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,30),(4,9),(4,30),(5,32),(6,31),(7,6),(7,33),(8,7),(8,34),(9,5),(9,35),(10,23),(10,24),(11,13),(11,22),(12,40),(13,2),(13,44),(14,37),(15,38),(17,16),(18,17),(19,14),(19,42),(20,15),(20,41),(21,12),(21,39),(22,20),(22,44),(23,19),(23,43),(24,11),(24,25),(24,43),(25,13),(25,36),(26,21),(26,36),(27,12),(27,37),(28,26),(28,29),(28,43),(29,21),(29,27),(29,42),(30,10),(30,34),(30,35),(31,14),(31,27),(32,25),(32,26),(33,19),(33,29),(33,31),(34,23),(34,28),(34,33),(35,24),(35,28),(35,32),(36,39),(36,44),(37,15),(37,40),(38,16),(39,40),(39,41),(40,38),(41,17),(41,38),(42,20),(42,37),(42,39),(43,22),(43,36),(43,42),(44,18),(44,41)],45)
[[3,3,4,6]]=>([(0,1),(1,3),(1,4),(2,35),(3,8),(3,34),(4,9),(4,34),(5,39),(6,38),(7,6),(7,42),(8,7),(8,40),(9,5),(9,41),(10,24),(10,36),(11,25),(11,26),(12,15),(12,37),(13,55),(14,57),(15,2),(15,52),(16,47),(16,48),(17,44),(18,51),(19,50),(19,56),(20,48),(20,54),(21,18),(21,44),(22,13),(22,43),(23,14),(23,43),(24,13),(24,45),(25,12),(25,27),(25,46),(26,10),(26,31),(26,46),(27,15),(27,53),(28,19),(28,47),(28,60),(29,30),(29,53),(30,14),(30,49),(31,22),(31,24),(31,59),(32,29),(32,33),(32,46),(33,23),(33,30),(33,59),(34,11),(34,40),(34,41),(35,17),(35,21),(36,16),(36,20),(36,45),(37,16),(37,28),(37,52),(38,22),(38,23),(39,27),(39,29),(40,26),(40,32),(40,42),(41,25),(41,32),(41,39),(42,31),(42,33),(42,38),(43,19),(43,55),(43,57),(44,51),(45,47),(45,54),(45,55),(46,36),(46,37),(46,53),(46,59),(47,56),(47,62),(48,17),(48,62),(49,54),(49,57),(49,60),(50,18),(50,61),(52,35),(52,48),(52,60),(53,20),(53,49),(53,52),(54,58),(54,62),(55,56),(55,58),(56,61),(57,50),(57,58),(58,61),(59,28),(59,43),(59,45),(59,49),(60,21),(60,50),(60,62),(61,51),(62,44),(62,61)],63)
[[3,3,5,6]]=>([(0,1),(1,3),(1,4),(2,40),(3,8),(3,37),(4,9),(4,37),(5,45),(6,44),(7,6),(7,46),(8,7),(8,48),(9,5),(9,47),(10,29),(10,30),(11,20),(11,41),(12,33),(12,42),(13,24),(13,43),(14,65),(14,70),(15,62),(15,66),(16,60),(16,66),(17,67),(18,50),(19,65),(19,71),(20,2),(20,49),(21,55),(22,53),(22,68),(23,54),(24,52),(25,23),(25,69),(26,32),(26,69),(27,20),(27,64),(28,31),(28,64),(29,12),(29,38),(29,51),(30,11),(30,27),(30,51),(31,23),(31,57),(32,24),(32,58),(33,13),(33,32),(33,56),(34,22),(34,63),(34,70),(35,18),(35,67),(36,28),(36,39),(36,51),(37,10),(37,47),(37,48),(38,26),(38,33),(38,59),(39,25),(39,31),(39,59),(40,17),(40,35),(41,14),(41,34),(41,49),(42,14),(42,19),(42,56),(43,15),(43,16),(43,52),(44,25),(44,26),(45,27),(45,28),(46,38),(46,39),(46,44),(47,30),(47,36),(47,45),(48,29),(48,36),(48,46),(49,40),(49,63),(49,65),(50,55),(51,41),(51,42),(51,59),(51,64),(52,60),(52,62),(53,60),(53,74),(54,61),(54,68),(56,43),(56,58),(56,70),(56,71),(57,54),(57,63),(57,71),(58,52),(58,53),(58,61),(59,34),(59,56),(59,57),(59,69),(60,73),(61,62),(61,74),(62,73),(63,35),(63,68),(63,72),(64,19),(64,49),(64,57),(65,17),(65,72),(66,21),(66,73),(67,21),(67,50),(68,18),(68,74),(69,22),(69,54),(69,58),(70,16),(70,53),(70,72),(71,15),(71,61),(71,72),(72,66),(72,67),(72,74),(73,55),(74,50),(74,73)],75)
[[3,3,6,6]]=>([(0,1),(1,4),(1,5),(2,45),(3,44),(4,9),(4,41),(5,10),(5,41),(6,49),(7,50),(8,7),(8,53),(9,8),(9,51),(10,6),(10,52),(11,33),(11,34),(12,25),(12,46),(13,37),(13,48),(14,28),(14,47),(15,71),(15,73),(16,67),(16,75),(17,67),(17,77),(18,71),(18,76),(19,54),(20,70),(22,68),(23,69),(24,68),(25,3),(25,55),(26,57),(26,72),(27,58),(28,2),(28,59),(29,25),(29,66),(30,27),(30,74),(31,36),(31,74),(32,35),(32,66),(33,13),(33,42),(33,56),(34,12),(34,29),(34,56),(35,27),(35,61),(36,28),(36,62),(37,14),(37,36),(37,60),(38,26),(38,65),(38,75),(39,19),(39,69),(40,32),(40,43),(40,56),(41,11),(41,51),(41,52),(42,31),(42,37),(42,63),(43,30),(43,35),(43,63),(44,23),(44,39),(45,22),(45,24),(46,16),(46,38),(46,55),(47,15),(47,18),(47,59),(48,16),(48,17),(48,60),(49,29),(49,32),(50,30),(50,31),(51,33),(51,40),(51,53),(52,34),(52,40),(52,49),(53,42),(53,43),(53,50),(54,70),(55,44),(55,65),(55,67),(56,46),(56,48),(56,63),(56,66),(57,76),(57,80),(58,64),(58,72),(59,45),(59,73),(59,76),(60,47),(60,62),(60,75),(60,77),(61,58),(61,65),(61,77),(62,57),(62,59),(62,64),(63,38),(63,60),(63,61),(63,74),(64,73),(64,80),(65,39),(65,72),(65,78),(66,17),(66,55),(66,61),(67,23),(67,78),(68,21),(69,20),(69,54),(70,21),(71,20),(71,79),(72,19),(72,80),(73,22),(73,79),(74,26),(74,58),(74,62),(75,18),(75,57),(75,78),(76,24),(76,79),(77,15),(77,64),(77,78),(78,69),(78,71),(78,80),(79,68),(79,70),(80,54),(80,79)],81)
[[3,4,4,6]]=>([(0,1),(1,3),(1,4),(2,40),(3,8),(3,39),(4,9),(4,39),(5,44),(6,43),(7,6),(7,47),(8,7),(8,45),(9,5),(9,46),(10,31),(10,32),(11,30),(11,41),(12,28),(12,29),(13,18),(13,42),(14,63),(15,62),(16,60),(17,12),(17,67),(17,69),(18,2),(18,57),(19,61),(19,69),(20,56),(21,55),(22,53),(22,54),(23,21),(23,51),(24,22),(24,67),(24,68),(25,16),(25,51),(26,14),(26,49),(27,15),(27,49),(28,20),(28,52),(29,16),(29,52),(30,14),(30,48),(31,13),(31,33),(31,50),(32,11),(32,36),(32,50),(33,18),(33,59),(34,35),(34,59),(35,15),(35,58),(36,26),(36,30),(36,66),(37,34),(37,38),(37,50),(38,27),(38,35),(38,66),(39,10),(39,45),(39,46),(40,23),(40,25),(41,17),(41,19),(41,48),(42,17),(42,24),(42,57),(43,26),(43,27),(44,33),(44,34),(45,32),(45,37),(45,47),(46,31),(46,37),(46,44),(47,36),(47,38),(47,43),(48,61),(48,63),(48,67),(49,22),(49,62),(49,63),(50,41),(50,42),(50,59),(50,66),(51,55),(51,60),(52,56),(52,60),(53,20),(53,71),(54,21),(54,71),(55,65),(56,65),(57,40),(57,68),(57,69),(58,61),(58,62),(58,68),(59,19),(59,57),(59,58),(60,65),(61,64),(61,70),(62,54),(62,64),(63,53),(63,64),(64,71),(66,24),(66,48),(66,49),(66,58),(67,28),(67,53),(67,70),(68,23),(68,54),(68,70),(69,25),(69,29),(69,70),(70,51),(70,52),(70,71),(71,55),(71,56)],72)
[[3,4,5,6]]=>([(0,1),(1,3),(1,4),(2,46),(3,8),(3,44),(4,9),(4,44),(5,51),(6,50),(7,6),(7,54),(8,7),(8,52),(9,5),(9,53),(10,37),(10,47),(11,34),(11,45),(12,35),(12,36),(13,20),(13,48),(14,19),(14,49),(15,77),(16,74),(17,11),(17,82),(17,84),(18,63),(18,71),(19,62),(20,2),(20,67),(21,57),(21,73),(22,75),(22,84),(23,69),(24,63),(24,65),(25,61),(25,64),(26,66),(26,72),(27,18),(27,57),(27,76),(28,19),(28,78),(29,23),(29,60),(30,25),(30,82),(30,83),(31,28),(31,55),(32,16),(32,60),(33,15),(33,55),(34,16),(34,59),(35,13),(35,38),(35,58),(36,10),(36,41),(36,58),(37,14),(37,28),(37,56),(38,20),(38,70),(39,40),(39,70),(40,15),(40,68),(41,31),(41,37),(41,81),(42,39),(42,43),(42,58),(43,33),(43,40),(43,81),(44,12),(44,52),(44,53),(45,18),(45,24),(45,59),(46,29),(46,32),(47,17),(47,22),(47,56),(48,17),(48,30),(48,67),(49,21),(49,27),(49,62),(50,31),(50,33),(51,38),(51,39),(52,36),(52,42),(52,54),(53,35),(53,42),(53,51),(54,41),(54,43),(54,50),(55,25),(55,77),(55,78),(56,49),(56,75),(56,78),(56,82),(57,26),(57,71),(57,86),(58,47),(58,48),(58,70),(58,81),(59,65),(59,71),(59,74),(60,26),(60,69),(60,74),(61,24),(61,76),(61,89),(62,73),(62,76),(63,88),(64,23),(64,89),(65,80),(65,88),(66,87),(67,46),(67,83),(67,84),(68,75),(68,77),(68,83),(69,66),(69,80),(70,22),(70,67),(70,68),(71,72),(71,88),(72,87),(73,86),(74,72),(74,80),(75,21),(75,79),(75,85),(76,63),(76,86),(77,64),(77,79),(78,61),(78,62),(78,79),(79,73),(79,89),(80,87),(81,30),(81,55),(81,56),(81,68),(82,27),(82,45),(82,61),(82,85),(83,29),(83,64),(83,85),(84,32),(84,34),(84,85),(85,57),(85,59),(85,60),(85,89),(86,66),(86,88),(88,87),(89,65),(89,69),(89,86)],90)
[[3,4,6,6]]=>([(0,1),(1,4),(1,5),(2,50),(3,51),(4,9),(4,47),(5,10),(5,47),(6,56),(7,57),(8,7),(8,60),(9,8),(9,58),(10,6),(10,59),(11,35),(11,36),(12,39),(12,55),(13,22),(13,53),(14,29),(14,54),(15,43),(15,52),(16,90),(16,93),(17,86),(17,89),(18,63),(19,80),(19,85),(20,61),(21,83),(22,3),(22,64),(23,71),(23,92),(24,69),(24,88),(25,73),(25,88),(26,70),(27,72),(28,68),(29,2),(29,76),(30,15),(30,66),(30,71),(31,22),(31,84),(32,28),(32,91),(33,37),(33,91),(34,38),(34,84),(35,12),(35,48),(35,62),(36,13),(36,31),(36,62),(37,29),(37,75),(38,28),(38,74),(39,14),(39,37),(39,77),(40,26),(40,87),(41,20),(41,87),(42,18),(42,83),(43,26),(43,65),(44,16),(44,66),(44,79),(45,24),(45,67),(45,86),(46,34),(46,49),(46,62),(47,11),(47,58),(47,59),(48,33),(48,39),(48,78),(49,32),(49,38),(49,78),(50,21),(50,42),(51,40),(51,41),(52,24),(52,25),(52,65),(53,30),(53,44),(53,64),(54,17),(54,45),(54,76),(55,23),(55,30),(55,77),(56,31),(56,34),(57,32),(57,33),(58,35),(58,46),(58,60),(59,36),(59,46),(59,56),(60,48),(60,49),(60,57),(61,82),(61,85),(62,53),(62,55),(62,78),(62,84),(63,72),(64,51),(64,71),(64,79),(65,69),(65,70),(65,73),(66,45),(66,52),(66,93),(66,97),(67,42),(67,88),(67,96),(68,81),(68,90),(69,80),(69,98),(70,80),(70,82),(71,40),(71,43),(71,97),(73,82),(73,98),(74,68),(74,79),(74,92),(75,76),(75,81),(75,93),(76,50),(76,67),(76,89),(77,54),(77,66),(77,75),(77,92),(78,44),(78,74),(78,77),(78,91),(79,41),(79,90),(79,97),(80,95),(81,89),(81,94),(82,95),(83,27),(83,63),(84,23),(84,64),(84,74),(85,27),(85,95),(86,19),(86,69),(86,96),(87,19),(87,61),(87,70),(88,18),(88,98),(89,21),(89,96),(90,20),(90,94),(91,16),(91,68),(91,75),(92,17),(92,81),(92,97),(93,25),(93,67),(93,94),(94,61),(94,73),(94,96),(95,72),(96,83),(96,85),(96,98),(97,65),(97,86),(97,87),(97,94),(98,63),(98,95)],99)
[[3,5,5,6]]=>([(0,1),(1,3),(1,4),(2,50),(3,8),(3,48),(4,9),(4,48),(5,54),(6,55),(7,6),(7,58),(8,7),(8,56),(9,5),(9,57),(10,41),(10,51),(11,37),(11,49),(12,39),(12,40),(13,24),(13,38),(14,21),(14,52),(15,20),(15,53),(16,81),(17,82),(18,11),(18,87),(18,90),(19,13),(19,66),(19,86),(20,67),(21,2),(21,69),(22,61),(22,78),(23,79),(23,90),(24,62),(25,75),(26,76),(27,66),(27,74),(28,70),(28,72),(29,71),(29,73),(30,20),(30,83),(31,26),(31,63),(32,16),(32,63),(33,28),(33,87),(33,89),(34,19),(34,61),(34,80),(35,30),(35,59),(36,17),(36,59),(37,16),(37,64),(38,25),(38,62),(39,14),(39,42),(39,65),(40,10),(40,45),(40,65),(41,15),(41,30),(41,60),(42,21),(42,77),(43,17),(43,68),(44,43),(44,77),(45,35),(45,41),(45,88),(46,44),(46,47),(46,65),(47,36),(47,43),(47,88),(48,12),(48,56),(48,57),(49,19),(49,27),(49,64),(50,31),(50,32),(51,18),(51,23),(51,60),(52,18),(52,33),(52,69),(53,22),(53,34),(53,67),(54,42),(54,44),(55,35),(55,36),(56,40),(56,46),(56,58),(57,39),(57,46),(57,54),(58,45),(58,47),(58,55),(59,28),(59,82),(59,83),(60,53),(60,79),(60,83),(60,87),(61,29),(61,86),(61,92),(62,75),(63,29),(63,76),(63,81),(64,74),(64,81),(64,86),(65,51),(65,52),(65,77),(65,88),(66,24),(66,93),(67,78),(67,80),(68,79),(68,82),(68,89),(69,50),(69,89),(69,90),(70,26),(70,95),(71,94),(72,27),(72,80),(72,95),(73,25),(73,94),(74,85),(74,93),(76,71),(76,85),(77,23),(77,68),(77,69),(78,92),(79,22),(79,84),(79,91),(80,66),(80,92),(81,73),(81,85),(82,70),(82,84),(83,67),(83,72),(83,84),(84,78),(84,95),(85,94),(86,38),(86,73),(86,93),(87,34),(87,49),(87,72),(87,91),(88,33),(88,59),(88,60),(88,68),(89,31),(89,70),(89,91),(90,32),(90,37),(90,91),(91,61),(91,63),(91,64),(91,95),(92,71),(92,93),(93,62),(93,94),(94,75),(95,74),(95,76),(95,92)],96)
[[3,5,6,6]]=>([(0,1),(1,4),(1,5),(2,57),(3,56),(4,9),(4,54),(5,10),(5,54),(6,62),(7,61),(8,7),(8,65),(9,8),(9,63),(10,6),(10,64),(11,41),(11,43),(12,44),(12,45),(13,46),(13,58),(14,42),(14,55),(15,22),(15,60),(16,23),(16,59),(17,88),(18,91),(19,90),(20,14),(20,98),(20,102),(21,11),(21,96),(21,101),(22,2),(22,78),(23,3),(23,80),(24,89),(24,102),(25,68),(25,87),(26,70),(27,85),(28,79),(29,77),(29,101),(30,75),(30,76),(31,82),(32,81),(32,83),(33,30),(33,98),(33,100),(34,22),(34,92),(35,21),(35,68),(35,99),(36,49),(36,70),(37,27),(37,72),(38,34),(38,67),(39,18),(39,72),(40,19),(40,67),(41,28),(41,69),(42,18),(42,73),(43,17),(43,69),(44,16),(44,47),(44,71),(45,13),(45,51),(45,71),(46,15),(46,34),(46,66),(47,23),(47,86),(48,50),(48,86),(49,17),(49,84),(50,19),(50,74),(51,38),(51,46),(51,97),(52,48),(52,53),(52,71),(53,40),(53,50),(53,97),(54,12),(54,63),(54,64),(55,21),(55,29),(55,73),(56,37),(56,39),(57,26),(57,36),(58,20),(58,24),(58,66),(59,20),(59,33),(59,80),(60,25),(60,35),(60,78),(61,38),(61,40),(62,47),(62,48),(63,45),(63,52),(63,65),(64,44),(64,52),(64,62),(65,51),(65,53),(65,61),(66,60),(66,89),(66,92),(66,98),(67,30),(67,90),(67,92),(68,32),(68,96),(68,104),(69,79),(69,88),(70,31),(70,84),(71,58),(71,59),(71,86),(71,97),(72,32),(72,85),(72,91),(73,77),(73,91),(73,96),(74,89),(74,90),(74,100),(75,27),(75,106),(76,29),(76,99),(76,106),(77,94),(77,105),(78,57),(78,87),(78,99),(79,93),(80,56),(80,100),(80,102),(81,31),(81,107),(82,93),(83,28),(83,107),(84,82),(84,88),(85,81),(85,94),(86,24),(86,74),(86,80),(87,26),(87,104),(88,93),(89,25),(89,95),(89,103),(90,75),(90,95),(91,83),(91,94),(92,76),(92,78),(92,95),(94,107),(95,87),(95,106),(96,41),(96,83),(96,105),(97,33),(97,66),(97,67),(97,74),(98,35),(98,55),(98,76),(98,103),(99,36),(99,101),(99,104),(100,37),(100,75),(100,103),(101,43),(101,49),(101,105),(102,39),(102,42),(102,103),(103,68),(103,72),(103,73),(103,106),(104,70),(104,81),(104,105),(105,69),(105,84),(105,107),(106,77),(106,85),(106,104),(107,79),(107,82)],108)
[[3,6,6,6]]=>([(0,1),(1,5),(1,6),(2,64),(3,63),(4,53),(5,7),(5,65),(6,8),(6,65),(7,9),(7,66),(8,10),(8,68),(9,11),(9,67),(10,54),(11,56),(12,44),(12,45),(13,43),(13,59),(14,48),(14,60),(15,33),(15,62),(16,34),(16,61),(17,46),(17,47),(18,94),(19,93),(20,13),(20,100),(20,105),(21,12),(21,98),(21,104),(22,74),(23,71),(23,91),(24,92),(24,105),(26,88),(27,81),(28,80),(28,104),(29,78),(29,79),(30,83),(31,82),(31,86),(32,4),(32,101),(33,2),(33,84),(34,3),(34,85),(35,21),(35,71),(35,102),(36,49),(36,74),(37,29),(37,100),(37,103),(38,33),(38,95),(39,26),(39,75),(40,18),(40,75),(41,38),(41,70),(42,19),(42,70),(43,18),(43,76),(44,32),(44,72),(45,27),(45,72),(46,16),(46,51),(46,73),(47,14),(47,57),(47,73),(48,15),(48,38),(48,69),(49,32),(49,87),(50,19),(50,77),(51,34),(51,89),(52,50),(52,89),(53,25),(54,51),(54,52),(55,52),(55,58),(55,73),(56,41),(56,42),(57,41),(57,48),(57,99),(58,42),(58,50),(58,99),(59,21),(59,28),(59,76),(60,20),(60,24),(60,69),(61,20),(61,37),(61,85),(62,23),(62,35),(62,84),(63,39),(63,40),(64,22),(64,36),(65,17),(65,66),(65,68),(66,47),(66,55),(66,67),(67,56),(67,57),(67,58),(68,46),(68,54),(68,55),(69,62),(69,92),(69,95),(69,100),(70,29),(70,93),(70,95),(71,31),(71,98),(71,107),(72,81),(72,101),(73,60),(73,61),(73,89),(73,99),(74,30),(74,87),(75,31),(75,88),(75,94),(76,80),(76,94),(76,98),(77,92),(77,93),(77,103),(78,26),(78,109),(79,28),(79,102),(79,109),(80,96),(80,108),(81,90),(82,30),(82,110),(83,90),(84,64),(84,91),(84,102),(85,63),(85,103),(85,105),(86,27),(86,110),(87,83),(87,101),(88,82),(88,96),(89,24),(89,77),(89,85),(90,25),(91,22),(91,107),(92,23),(92,97),(92,106),(93,78),(93,97),(94,86),(94,96),(95,79),(95,84),(95,97),(96,110),(97,91),(97,109),(98,45),(98,86),(98,108),(99,37),(99,69),(99,70),(99,77),(100,35),(100,59),(100,79),(100,106),(101,53),(101,90),(102,36),(102,104),(102,107),(103,39),(103,78),(103,106),(104,44),(104,49),(104,108),(105,40),(105,43),(105,106),(106,71),(106,75),(106,76),(106,109),(107,74),(107,82),(107,108),(108,72),(108,87),(108,110),(109,80),(109,88),(109,107),(110,81),(110,83)],111)
[[4,4,4,6]]=>([(0,1),(1,4),(1,5),(2,43),(3,26),(4,9),(4,42),(5,10),(5,42),(6,47),(7,46),(8,7),(8,50),(9,8),(9,48),(10,6),(10,49),(11,34),(11,35),(12,33),(12,44),(13,31),(13,32),(14,19),(14,45),(15,66),(16,3),(16,68),(17,65),(18,13),(18,70),(18,72),(19,2),(19,60),(21,64),(21,72),(22,58),(23,59),(24,56),(24,57),(25,22),(25,54),(26,20),(27,24),(27,70),(27,71),(28,16),(28,54),(29,15),(29,52),(30,17),(30,52),(31,23),(31,55),(32,16),(32,55),(33,15),(33,51),(34,14),(34,36),(34,53),(35,12),(35,39),(35,53),(36,19),(36,62),(37,38),(37,62),(38,17),(38,61),(39,29),(39,33),(39,69),(40,37),(40,41),(40,53),(41,30),(41,38),(41,69),(42,11),(42,48),(42,49),(43,25),(43,28),(44,18),(44,21),(44,51),(45,18),(45,27),(45,60),(46,29),(46,30),(47,36),(47,37),(48,35),(48,40),(48,50),(49,34),(49,40),(49,47),(50,39),(50,41),(50,46),(51,64),(51,66),(51,70),(52,24),(52,65),(52,66),(53,44),(53,45),(53,62),(53,69),(54,58),(54,68),(55,59),(55,68),(56,23),(56,74),(57,22),(57,74),(58,63),(59,63),(60,43),(60,71),(60,72),(61,64),(61,65),(61,71),(62,21),(62,60),(62,61),(63,20),(64,67),(64,73),(65,57),(65,67),(66,56),(66,67),(67,74),(68,26),(68,63),(69,27),(69,51),(69,52),(69,61),(70,31),(70,56),(70,73),(71,25),(71,57),(71,73),(72,28),(72,32),(72,73),(73,54),(73,55),(73,74),(74,58),(74,59)],75)
[[4,4,5,6]]=>([(0,1),(1,4),(1,5),(2,48),(3,49),(4,9),(4,45),(5,10),(5,45),(6,54),(7,55),(8,7),(8,58),(9,8),(9,56),(10,6),(10,57),(11,41),(11,51),(12,34),(12,35),(13,21),(13,50),(14,38),(14,53),(15,26),(15,52),(16,60),(17,84),(17,87),(18,78),(18,82),(19,59),(20,59),(21,3),(21,62),(22,71),(22,88),(23,2),(23,70),(24,68),(24,86),(25,66),(26,72),(27,64),(27,67),(28,64),(28,65),(29,11),(29,68),(29,69),(30,25),(30,85),(31,21),(31,81),(32,37),(32,85),(33,36),(33,81),(34,14),(34,46),(34,61),(35,13),(35,31),(35,61),(36,25),(36,74),(37,26),(37,73),(38,15),(38,37),(38,77),(39,16),(39,83),(40,23),(40,83),(41,23),(41,63),(42,17),(42,69),(42,79),(43,27),(43,75),(43,82),(44,33),(44,47),(44,61),(45,12),(45,56),(45,57),(46,32),(46,38),(46,76),(47,30),(47,36),(47,76),(48,19),(48,20),(49,39),(49,40),(50,29),(50,42),(50,62),(51,27),(51,28),(51,63),(52,18),(52,43),(52,72),(53,24),(53,29),(53,77),(54,31),(54,33),(55,30),(55,32),(56,34),(56,44),(56,58),(57,35),(57,44),(57,54),(58,46),(58,47),(58,55),(60,71),(60,89),(61,50),(61,53),(61,76),(61,81),(62,49),(62,68),(62,79),(63,65),(63,67),(63,70),(64,94),(65,89),(65,94),(66,80),(66,84),(67,88),(67,94),(68,40),(68,41),(68,93),(69,43),(69,51),(69,87),(69,93),(70,48),(70,88),(70,89),(71,91),(72,75),(72,78),(73,72),(73,80),(73,87),(74,66),(74,79),(74,86),(75,64),(75,92),(76,42),(76,74),(76,77),(76,85),(77,52),(77,69),(77,73),(77,86),(78,92),(79,39),(79,84),(79,93),(80,78),(80,90),(81,24),(81,62),(81,74),(82,22),(82,67),(82,92),(83,22),(83,60),(83,70),(84,16),(84,90),(85,17),(85,66),(85,73),(86,18),(86,80),(86,93),(87,28),(87,75),(87,90),(88,20),(88,91),(89,19),(89,91),(90,60),(90,65),(90,92),(91,59),(92,71),(92,94),(93,63),(93,82),(93,83),(93,90),(94,91)],95)
[[4,4,6,6]]=>([(0,1),(1,5),(1,6),(2,60),(3,61),(4,59),(5,7),(5,62),(6,8),(6,62),(7,9),(7,63),(8,10),(8,65),(9,11),(9,64),(10,52),(11,51),(12,43),(12,58),(13,34),(13,57),(14,32),(14,55),(15,47),(15,56),(16,39),(16,40),(18,90),(18,94),(19,87),(19,97),(20,92),(20,99),(21,67),(22,66),(23,88),(24,88),(25,85),(26,89),(27,72),(27,96),(28,71),(28,93),(29,73),(29,93),(30,75),(31,15),(31,72),(31,76),(32,3),(32,69),(33,4),(33,77),(34,2),(34,80),(35,30),(35,95),(36,42),(36,86),(37,41),(37,95),(38,32),(38,86),(39,12),(39,53),(39,68),(40,14),(40,38),(40,68),(41,34),(41,79),(42,30),(42,78),(43,13),(43,41),(43,81),(44,22),(44,91),(45,33),(45,91),(46,21),(46,85),(47,33),(47,70),(48,29),(48,74),(48,90),(49,20),(49,76),(49,84),(50,36),(50,54),(50,68),(51,35),(51,37),(52,36),(52,38),(53,37),(53,43),(53,82),(54,35),(54,42),(54,82),(55,31),(55,49),(55,69),(56,28),(56,29),(56,70),(57,18),(57,48),(57,80),(58,27),(58,31),(58,81),(59,23),(59,24),(60,25),(60,46),(61,44),(61,45),(62,16),(62,63),(62,65),(63,39),(63,50),(63,64),(64,51),(64,53),(64,54),(65,40),(65,50),(65,52),(66,87),(66,98),(67,89),(68,55),(68,58),(68,82),(68,86),(69,61),(69,72),(69,84),(70,71),(70,73),(70,77),(71,98),(71,104),(72,45),(72,47),(72,103),(73,97),(73,104),(74,46),(74,93),(74,102),(75,83),(75,92),(76,48),(76,56),(76,99),(76,103),(77,59),(77,97),(77,98),(78,75),(78,84),(78,96),(79,80),(79,83),(79,99),(80,60),(80,74),(80,94),(81,57),(81,76),(81,79),(81,96),(82,49),(82,78),(82,81),(82,95),(83,94),(83,101),(84,44),(84,92),(84,103),(85,26),(85,67),(86,27),(86,69),(86,78),(87,26),(87,100),(88,17),(89,17),(90,19),(90,73),(90,102),(91,19),(91,66),(91,77),(92,22),(92,101),(93,21),(93,104),(94,25),(94,102),(95,20),(95,75),(95,79),(96,18),(96,83),(96,103),(97,24),(97,100),(98,23),(98,100),(99,28),(99,74),(99,101),(100,88),(100,89),(101,66),(101,71),(101,102),(102,85),(102,87),(102,104),(103,70),(103,90),(103,91),(103,101),(104,67),(104,100)],105)
[[4,5,5,6]]=>([(0,1),(1,4),(1,5),(2,55),(3,54),(4,9),(4,52),(5,10),(5,52),(6,60),(7,59),(8,7),(8,63),(9,8),(9,61),(10,6),(10,62),(11,44),(11,56),(12,41),(12,53),(13,42),(13,43),(14,27),(14,40),(15,23),(15,57),(16,22),(16,58),(17,88),(18,3),(18,85),(19,84),(20,12),(20,94),(20,97),(21,14),(21,75),(21,92),(22,73),(23,2),(23,76),(24,67),(24,83),(25,86),(25,97),(26,64),(27,68),(28,81),(29,74),(29,75),(30,72),(30,77),(31,79),(31,96),(32,21),(32,67),(32,87),(33,22),(33,89),(34,28),(34,71),(35,30),(35,94),(35,95),(36,33),(36,65),(37,18),(37,71),(38,19),(38,64),(39,17),(39,65),(40,47),(40,68),(41,18),(41,70),(42,15),(42,45),(42,69),(43,11),(43,49),(43,69),(44,16),(44,33),(44,66),(45,23),(45,82),(46,48),(46,82),(47,19),(47,78),(48,17),(48,80),(49,36),(49,44),(49,93),(50,46),(50,51),(50,69),(51,39),(51,48),(51,93),(52,13),(52,61),(52,62),(53,21),(53,29),(53,70),(54,26),(54,38),(55,34),(55,37),(56,20),(56,25),(56,66),(57,20),(57,35),(57,76),(58,24),(58,32),(58,73),(59,36),(59,39),(60,45),(60,46),(61,43),(61,50),(61,63),(62,42),(62,50),(62,60),(63,49),(63,51),(63,59),(64,84),(65,30),(65,88),(65,89),(66,58),(66,86),(66,89),(66,94),(67,31),(67,92),(67,99),(68,78),(69,56),(69,57),(69,82),(69,93),(70,74),(70,85),(70,92),(71,31),(71,81),(71,85),(72,29),(72,87),(72,102),(73,83),(73,87),(74,91),(74,101),(75,27),(75,101),(76,55),(76,95),(76,97),(77,28),(77,102),(78,84),(79,100),(80,86),(80,88),(80,95),(81,79),(81,91),(82,25),(82,76),(82,80),(83,99),(85,54),(85,91),(85,96),(86,24),(86,90),(86,98),(87,75),(87,99),(88,77),(88,90),(89,72),(89,73),(89,90),(90,83),(90,102),(91,26),(91,100),(92,40),(92,96),(92,101),(93,35),(93,65),(93,66),(93,80),(94,32),(94,53),(94,72),(94,98),(95,34),(95,77),(95,98),(96,38),(96,47),(96,100),(97,37),(97,41),(97,98),(98,67),(98,70),(98,71),(98,102),(99,79),(99,101),(100,64),(100,78),(101,68),(101,100),(102,74),(102,81),(102,99)],103)
[[4,5,6,6]]=>([(0,1),(1,5),(1,6),(2,65),(3,67),(4,66),(5,7),(5,68),(6,8),(6,68),(7,9),(7,69),(8,10),(8,71),(9,11),(9,70),(10,56),(11,58),(12,46),(12,47),(13,45),(13,61),(14,50),(14,62),(15,34),(15,64),(16,35),(16,63),(17,48),(17,49),(18,99),(19,95),(20,94),(21,13),(21,106),(21,111),(22,12),(22,104),(22,110),(23,75),(23,97),(24,98),(24,111),(25,78),(26,74),(27,90),(28,82),(28,110),(29,81),(29,83),(30,93),(31,86),(32,85),(32,109),(33,3),(33,96),(34,4),(34,88),(35,2),(35,87),(36,27),(36,80),(37,33),(37,80),(38,22),(38,75),(38,107),(39,34),(39,100),(40,52),(40,78),(41,20),(41,74),(42,29),(42,106),(42,108),(43,39),(43,73),(44,18),(44,73),(45,33),(45,79),(46,51),(46,76),(47,19),(47,76),(48,16),(48,54),(48,77),(49,14),(49,59),(49,77),(50,15),(50,39),(50,72),(51,20),(51,84),(52,19),(52,91),(53,18),(53,89),(54,35),(54,92),(55,53),(55,92),(56,54),(56,55),(57,55),(57,60),(57,77),(58,43),(58,44),(59,43),(59,50),(59,105),(60,44),(60,53),(60,105),(61,22),(61,28),(61,79),(62,21),(62,24),(62,72),(63,21),(63,42),(63,87),(64,23),(64,38),(64,88),(65,36),(65,37),(66,25),(66,40),(67,26),(67,41),(68,17),(68,69),(68,71),(69,49),(69,57),(69,70),(70,58),(70,59),(70,60),(71,48),(71,56),(71,57),(72,64),(72,98),(72,100),(72,106),(73,29),(73,99),(73,100),(74,30),(74,94),(75,32),(75,104),(75,113),(76,84),(76,95),(77,62),(77,63),(77,92),(77,105),(78,31),(78,91),(79,82),(79,96),(79,104),(80,32),(80,90),(80,96),(81,27),(81,116),(82,103),(82,114),(83,28),(83,107),(83,116),(84,94),(84,101),(85,31),(85,115),(86,30),(86,101),(87,65),(87,108),(87,111),(88,66),(88,97),(88,107),(89,98),(89,99),(89,108),(90,85),(90,103),(91,86),(91,95),(92,24),(92,87),(92,89),(94,93),(95,101),(96,67),(96,103),(96,109),(97,25),(97,113),(98,23),(98,102),(98,112),(99,81),(99,102),(100,83),(100,88),(100,102),(101,93),(102,97),(102,116),(103,26),(103,115),(104,46),(104,109),(104,114),(105,42),(105,72),(105,73),(105,89),(106,38),(106,61),(106,83),(106,112),(107,40),(107,110),(107,113),(108,36),(108,81),(108,112),(109,41),(109,51),(109,115),(110,47),(110,52),(110,114),(111,37),(111,45),(111,112),(112,75),(112,79),(112,80),(112,116),(113,78),(113,85),(113,114),(114,76),(114,91),(114,115),(115,74),(115,84),(115,86),(116,82),(116,90),(116,113)],117)
[[4,6,6,6]]=>([(0,1),(1,6),(1,7),(2,69),(3,70),(4,71),(5,59),(6,8),(6,72),(7,9),(7,72),(8,10),(8,73),(9,11),(9,75),(10,12),(10,74),(11,61),(12,62),(13,49),(13,65),(14,48),(14,50),(15,53),(15,66),(16,36),(16,68),(17,37),(17,67),(18,51),(18,52),(19,102),(20,101),(21,13),(21,108),(21,115),(22,14),(22,106),(22,113),(24,79),(24,99),(25,100),(25,115),(26,82),(27,78),(28,95),(29,87),(29,113),(30,85),(30,86),(31,91),(32,94),(33,90),(33,114),(34,5),(34,109),(35,4),(35,98),(36,3),(36,92),(37,2),(37,89),(38,22),(38,79),(38,110),(39,36),(39,103),(40,28),(40,84),(41,35),(41,84),(42,55),(42,82),(43,20),(43,78),(44,30),(44,108),(44,112),(45,39),(45,77),(46,19),(46,77),(47,23),(48,54),(48,80),(49,35),(49,83),(50,34),(50,80),(51,17),(51,56),(51,81),(52,15),(52,63),(52,81),(53,16),(53,39),(53,76),(54,20),(54,88),(55,34),(55,96),(56,37),(56,97),(57,19),(57,93),(58,57),(58,97),(59,47),(60,58),(60,64),(60,81),(61,56),(61,58),(62,45),(62,46),(63,45),(63,53),(63,107),(64,46),(64,57),(64,107),(65,22),(65,29),(65,83),(66,21),(66,25),(66,76),(67,21),(67,44),(67,89),(68,24),(68,38),(68,92),(69,40),(69,41),(70,26),(70,42),(71,27),(71,43),(72,18),(72,73),(72,75),(73,52),(73,60),(73,74),(74,62),(74,63),(74,64),(75,51),(75,60),(75,61),(76,68),(76,100),(76,103),(76,108),(77,30),(77,102),(77,103),(78,32),(78,101),(79,33),(79,106),(79,117),(80,88),(80,109),(81,66),(81,67),(81,97),(81,107),(82,31),(82,96),(83,87),(83,98),(83,106),(84,33),(84,95),(84,98),(85,29),(85,110),(85,120),(86,28),(86,120),(87,105),(87,118),(88,101),(88,111),(89,69),(89,112),(89,115),(90,31),(90,119),(91,32),(91,111),(92,70),(92,99),(92,110),(93,100),(93,102),(93,112),(94,23),(95,90),(95,105),(96,91),(96,109),(97,25),(97,89),(97,93),(98,71),(98,105),(98,114),(99,26),(99,117),(100,24),(100,104),(100,116),(101,94),(102,86),(102,104),(103,85),(103,92),(103,104),(104,99),(104,120),(105,27),(105,119),(106,48),(106,114),(106,118),(107,44),(107,76),(107,77),(107,93),(108,38),(108,65),(108,85),(108,116),(109,59),(109,111),(110,42),(110,113),(110,117),(111,47),(111,94),(112,40),(112,86),(112,116),(113,50),(113,55),(113,118),(114,43),(114,54),(114,119),(115,41),(115,49),(115,116),(116,79),(116,83),(116,84),(116,120),(117,82),(117,90),(117,118),(118,80),(118,96),(118,119),(119,78),(119,88),(119,91),(120,87),(120,95),(120,117)],121)
[[5,5,5,6]]=>([(0,1),(1,5),(1,6),(2,61),(3,60),(4,33),(5,7),(5,62),(6,8),(6,62),(7,9),(7,63),(8,11),(8,65),(9,10),(9,64),(10,52),(11,53),(12,43),(12,56),(13,21),(13,59),(14,46),(14,57),(15,25),(15,42),(16,32),(16,58),(17,44),(17,45),(18,90),(19,12),(19,96),(19,99),(20,15),(20,77),(20,94),(21,74),(22,68),(23,69),(23,87),(24,88),(24,99),(25,70),(26,83),(27,76),(27,77),(28,75),(28,78),(29,80),(29,98),(30,2),(30,86),(31,4),(31,85),(32,3),(32,81),(34,21),(34,91),(35,20),(35,69),(35,89),(36,26),(36,73),(37,30),(37,73),(38,31),(38,68),(39,28),(39,96),(39,97),(40,34),(40,66),(41,18),(41,66),(42,47),(42,70),(43,30),(43,72),(44,16),(44,48),(44,71),(45,14),(45,54),(45,71),(46,13),(46,34),(46,67),(47,31),(47,79),(48,32),(48,84),(49,18),(49,82),(50,49),(50,84),(51,50),(51,55),(51,71),(52,40),(52,41),(53,48),(53,50),(54,40),(54,46),(54,95),(55,41),(55,49),(55,95),(56,20),(56,27),(56,72),(57,19),(57,24),(57,67),(58,19),(58,39),(58,81),(59,23),(59,35),(59,74),(60,36),(60,37),(61,22),(61,38),(62,17),(62,63),(62,65),(63,45),(63,51),(63,64),(64,52),(64,54),(64,55),(65,44),(65,51),(65,53),(66,28),(66,90),(66,91),(67,59),(67,88),(67,91),(67,96),(68,85),(69,29),(69,94),(69,101),(70,79),(71,57),(71,58),(71,84),(71,95),(72,76),(72,86),(72,94),(73,29),(73,83),(73,86),(74,87),(74,89),(75,27),(75,89),(75,104),(76,93),(76,103),(77,25),(77,103),(78,26),(78,104),(79,85),(80,102),(81,60),(81,97),(81,99),(82,88),(82,90),(82,97),(83,80),(83,93),(84,24),(84,81),(84,82),(85,33),(86,61),(86,93),(86,98),(87,101),(88,23),(88,92),(88,100),(89,77),(89,101),(90,78),(90,92),(91,74),(91,75),(91,92),(92,87),(92,104),(93,22),(93,102),(94,42),(94,98),(94,103),(95,39),(95,66),(95,67),(95,82),(96,35),(96,56),(96,75),(96,100),(97,36),(97,78),(97,100),(98,38),(98,47),(98,102),(99,37),(99,43),(99,100),(100,69),(100,72),(100,73),(100,104),(101,80),(101,103),(102,68),(102,79),(103,70),(103,102),(104,76),(104,83),(104,101)],105)
[[5,5,6,6]]=>([(0,1),(1,6),(1,7),(2,68),(3,69),(4,70),(5,58),(6,8),(6,71),(7,9),(7,71),(8,10),(8,72),(9,11),(9,74),(10,12),(10,73),(11,60),(12,61),(13,48),(13,64),(14,47),(14,49),(15,52),(15,65),(16,36),(16,67),(17,37),(17,66),(18,50),(18,51),(19,101),(20,97),(21,13),(21,108),(21,114),(22,14),(22,106),(22,113),(23,78),(23,99),(24,100),(24,114),(25,81),(26,77),(28,94),(29,85),(29,113),(30,84),(30,86),(31,90),(32,93),(33,89),(33,112),(34,4),(34,98),(35,5),(35,109),(36,3),(36,91),(37,2),(37,88),(38,36),(38,102),(39,28),(39,83),(40,22),(40,78),(40,110),(41,34),(41,83),(42,53),(42,81),(43,35),(43,77),(44,30),(44,108),(44,111),(45,38),(45,76),(46,19),(46,76),(47,54),(47,79),(48,34),(48,82),(49,20),(49,79),(50,17),(50,55),(50,80),(51,15),(51,62),(51,80),(52,16),(52,38),(52,75),(53,20),(53,95),(54,35),(54,87),(55,37),(55,96),(56,19),(56,92),(57,56),(57,96),(58,27),(59,57),(59,63),(59,80),(60,55),(60,57),(61,45),(61,46),(62,45),(62,52),(62,107),(63,46),(63,56),(63,107),(64,22),(64,29),(64,82),(65,21),(65,24),(65,75),(66,21),(66,44),(66,88),(67,23),(67,40),(67,91),(68,39),(68,41),(69,25),(69,42),(70,26),(70,43),(71,18),(71,72),(71,74),(72,51),(72,59),(72,73),(73,61),(73,62),(73,63),(74,50),(74,59),(74,60),(75,67),(75,100),(75,102),(75,108),(76,30),(76,101),(76,102),(77,32),(77,109),(78,33),(78,106),(78,116),(79,87),(79,97),(80,65),(80,66),(80,96),(80,107),(81,31),(81,95),(82,85),(82,98),(82,106),(83,33),(83,94),(83,98),(84,28),(84,119),(85,104),(85,117),(86,29),(86,110),(86,119),(87,105),(87,109),(88,68),(88,111),(88,114),(89,31),(89,118),(90,32),(90,105),(91,69),(91,99),(91,110),(92,100),(92,101),(92,111),(93,27),(94,89),(94,104),(95,90),(95,97),(96,24),(96,88),(96,92),(97,105),(98,70),(98,104),(98,112),(99,25),(99,116),(100,23),(100,103),(100,115),(101,84),(101,103),(102,86),(102,91),(102,103),(103,99),(103,119),(104,26),(104,118),(105,93),(106,47),(106,112),(106,117),(107,44),(107,75),(107,76),(107,92),(108,40),(108,64),(108,86),(108,115),(109,58),(109,93),(110,42),(110,113),(110,116),(111,39),(111,84),(111,115),(112,43),(112,54),(112,118),(113,49),(113,53),(113,117),(114,41),(114,48),(114,115),(115,78),(115,82),(115,83),(115,119),(116,81),(116,89),(116,117),(117,79),(117,95),(117,118),(118,77),(118,87),(118,90),(119,85),(119,94),(119,116)],120)
[[5,6,6,6]]=>([(0,1),(1,7),(1,8),(2,73),(3,74),(4,75),(5,62),(6,63),(7,9),(7,76),(8,10),(8,76),(9,11),(9,77),(10,12),(10,79),(11,13),(11,78),(12,65),(13,66),(14,52),(14,69),(15,51),(15,53),(16,56),(16,70),(17,37),(17,72),(18,38),(18,71),(19,54),(19,55),(21,104),(22,14),(22,110),(22,119),(23,15),(23,108),(23,117),(24,83),(24,102),(25,103),(25,119),(26,86),(27,82),(28,98),(29,90),(29,117),(30,89),(30,91),(31,116),(32,95),(33,94),(33,118),(34,5),(34,112),(35,6),(35,111),(36,4),(36,101),(37,3),(37,96),(38,2),(38,93),(39,37),(39,105),(40,28),(40,88),(41,23),(41,83),(41,113),(42,36),(42,88),(43,57),(43,86),(44,45),(45,20),(46,34),(46,82),(47,20),(48,30),(48,110),(48,115),(49,39),(49,81),(50,21),(50,81),(51,58),(51,84),(52,36),(52,87),(53,35),(53,84),(54,18),(54,59),(54,85),(55,16),(55,67),(55,85),(56,17),(56,39),(56,80),(57,35),(57,99),(58,34),(58,92),(59,38),(59,100),(60,21),(60,97),(61,60),(61,100),(62,47),(63,44),(64,61),(64,68),(64,85),(65,59),(65,61),(66,49),(66,50),(67,49),(67,56),(67,109),(68,50),(68,60),(68,109),(69,23),(69,29),(69,87),(70,22),(70,25),(70,80),(71,22),(71,48),(71,93),(72,24),(72,41),(72,96),(73,40),(73,42),(74,26),(74,43),(75,27),(75,46),(76,19),(76,77),(76,79),(77,55),(77,64),(77,78),(78,66),(78,67),(78,68),(79,54),(79,64),(79,65),(80,72),(80,103),(80,105),(80,110),(81,30),(81,104),(81,105),(82,31),(82,112),(83,33),(83,108),(83,121),(84,92),(84,111),(85,70),(85,71),(85,100),(85,109),(86,32),(86,99),(87,90),(87,101),(87,108),(88,33),(88,98),(88,101),(89,28),(89,124),(90,107),(90,122),(91,29),(91,113),(91,124),(92,112),(92,114),(93,73),(93,115),(93,119),(94,32),(94,123),(95,31),(95,114),(96,74),(96,102),(96,113),(97,103),(97,104),(97,115),(98,94),(98,107),(99,95),(99,111),(100,25),(100,93),(100,97),(101,75),(101,107),(101,118),(102,26),(102,121),(103,24),(103,106),(103,120),(104,89),(104,106),(105,91),(105,96),(105,106),(106,102),(106,124),(107,27),(107,123),(108,51),(108,118),(108,122),(109,48),(109,80),(109,81),(109,97),(110,41),(110,69),(110,91),(110,120),(111,63),(111,114),(112,62),(112,116),(113,43),(113,117),(113,121),(114,44),(114,116),(115,40),(115,89),(115,120),(116,45),(116,47),(117,53),(117,57),(117,122),(118,46),(118,58),(118,123),(119,42),(119,52),(119,120),(120,83),(120,87),(120,88),(120,124),(121,86),(121,94),(121,122),(122,84),(122,99),(122,123),(123,82),(123,92),(123,95),(124,90),(124,98),(124,121)],125)
[[6,6,6,6]]=>([(0,2),(2,8),(2,9),(3,74),(4,75),(5,76),(6,63),(7,64),(8,10),(8,77),(9,11),(9,77),(10,12),(10,78),(11,13),(11,80),(12,14),(12,79),(13,65),(14,67),(15,52),(15,54),(16,57),(16,71),(17,38),(17,73),(18,39),(18,72),(19,53),(19,70),(20,55),(20,56),(21,105),(22,19),(22,111),(22,120),(23,15),(23,109),(23,118),(24,1),(25,84),(25,103),(26,104),(26,120),(27,87),(28,83),(29,99),(30,91),(30,118),(31,90),(31,92),(32,117),(33,96),(34,95),(34,119),(35,6),(35,113),(36,7),(36,112),(37,5),(37,102),(38,4),(38,97),(39,3),(39,94),(40,38),(40,106),(41,29),(41,89),(42,23),(42,84),(42,114),(43,37),(43,89),(44,58),(44,87),(45,46),(46,24),(47,35),(47,83),(48,24),(49,31),(49,111),(49,116),(50,40),(50,82),(51,21),(51,82),(52,59),(52,85),(53,37),(53,88),(54,36),(54,85),(55,18),(55,61),(55,86),(56,16),(56,68),(56,86),(57,17),(57,40),(57,81),(58,36),(58,100),(59,35),(59,93),(60,21),(60,98),(61,39),(61,101),(62,60),(62,101),(63,48),(64,45),(65,61),(65,62),(66,62),(66,69),(66,86),(67,50),(67,51),(68,50),(68,57),(68,110),(69,51),(69,60),(69,110),(70,23),(70,30),(70,88),(71,22),(71,26),(71,81),(72,22),(72,49),(72,94),(73,25),(73,42),(73,97),(74,41),(74,43),(75,27),(75,44),(76,28),(76,47),(77,20),(77,78),(77,80),(78,56),(78,66),(78,79),(79,67),(79,68),(79,69),(80,55),(80,65),(80,66),(81,73),(81,104),(81,106),(81,111),(82,31),(82,105),(82,106),(83,32),(83,113),(84,34),(84,109),(84,122),(85,93),(85,112),(86,71),(86,72),(86,101),(86,110),(87,33),(87,100),(88,91),(88,102),(88,109),(89,34),(89,99),(89,102),(90,29),(90,125),(91,108),(91,123),(92,30),(92,114),(92,125),(93,113),(93,115),(94,74),(94,116),(94,120),(95,33),(95,124),(96,32),(96,115),(97,75),(97,103),(97,114),(98,104),(98,105),(98,116),(99,95),(99,108),(100,96),(100,112),(101,26),(101,94),(101,98),(102,76),(102,108),(102,119),(103,27),(103,122),(104,25),(104,107),(104,121),(105,90),(105,107),(106,92),(106,97),(106,107),(107,103),(107,125),(108,28),(108,124),(109,52),(109,119),(109,123),(110,49),(110,81),(110,82),(110,98),(111,42),(111,70),(111,92),(111,121),(112,64),(112,115),(113,63),(113,117),(114,44),(114,118),(114,122),(115,45),(115,117),(116,41),(116,90),(116,121),(117,46),(117,48),(118,54),(118,58),(118,123),(119,47),(119,59),(119,124),(120,43),(120,53),(120,121),(121,84),(121,88),(121,89),(121,125),(122,87),(122,95),(122,123),(123,85),(123,100),(123,124),(124,83),(124,93),(124,96),(125,91),(125,99),(125,122)],126)
[[1,1,1],[6]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2],[6]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,6],[2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,3],[6]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,6],[3]]=>([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10)
[[1,1,4],[6]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,6],[4]]=>([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13)
[[1,1,5],[6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,6],[5]]=>([(0,7),(1,14),(2,13),(3,10),(4,12),(5,6),(5,13),(6,4),(6,9),(7,8),(8,2),(8,5),(9,12),(9,14),(11,10),(12,11),(13,1),(13,9),(14,3),(14,11)],15)
[[1,1,6],[6]]=>([(0,8),(1,15),(3,14),(4,13),(5,12),(6,7),(6,13),(7,5),(7,10),(8,9),(9,4),(9,6),(10,12),(10,14),(11,15),(12,11),(13,3),(13,10),(14,1),(14,11),(15,2)],16)
[[1,2,2],[6]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,6],[2]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,2,3],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,2,6],[3]]=>([(0,7),(0,8),(1,13),(2,11),(3,10),(3,11),(4,5),(4,10),(5,1),(5,12),(6,2),(7,6),(8,9),(9,3),(9,4),(10,12),(10,16),(11,16),(12,13),(12,15),(13,14),(15,14),(16,15)],17)
[[1,3,6],[2]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,2,4],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,2,6],[4]]=>([(0,8),(0,9),(1,11),(2,11),(2,12),(3,13),(4,14),(4,15),(5,7),(5,12),(6,1),(7,3),(7,16),(8,6),(9,10),(10,2),(10,5),(11,20),(12,4),(12,16),(12,20),(13,18),(13,19),(14,22),(15,18),(15,22),(16,13),(16,15),(16,17),(17,19),(17,22),(18,21),(19,21),(20,14),(20,17),(22,21)],23)
[[1,4,6],[2]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,2,5],[6]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,2,6],[5]]=>([(0,3),(0,4),(1,8),(1,11),(2,7),(3,1),(4,2),(5,6),(5,23),(6,20),(7,16),(8,5),(8,22),(9,13),(9,18),(10,12),(10,14),(11,16),(11,22),(12,25),(13,26),(14,25),(15,24),(16,21),(17,15),(17,26),(18,10),(18,19),(18,26),(19,12),(19,24),(20,15),(20,19),(21,13),(21,17),(22,9),(22,21),(22,23),(23,17),(23,18),(23,20),(24,25),(26,14),(26,24)],27)
[[1,5,6],[2]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,2,6],[6]]=>([(0,3),(0,4),(1,6),(2,7),(2,12),(3,1),(4,2),(5,17),(6,21),(7,8),(7,24),(8,9),(8,25),(9,22),(10,15),(10,16),(11,14),(11,20),(12,21),(12,24),(13,26),(14,28),(15,27),(16,5),(16,27),(18,16),(18,26),(19,13),(19,28),(20,10),(20,18),(20,28),(21,23),(22,13),(22,18),(23,14),(23,19),(24,11),(24,23),(24,25),(25,19),(25,20),(25,22),(26,27),(27,17),(28,15),(28,26)],29)
[[1,6,6],[2]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,3,3],[6]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,3,6],[3]]=>([(0,1),(1,2),(1,4),(2,10),(3,6),(3,15),(4,7),(4,10),(5,13),(6,14),(7,8),(7,18),(8,5),(8,17),(10,3),(10,18),(11,9),(12,9),(13,12),(14,11),(15,14),(15,16),(16,11),(16,12),(17,13),(17,16),(18,15),(18,17)],19)
[[1,3,4],[6]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,3,6],[4]]=>([(0,2),(0,3),(1,8),(1,12),(2,1),(3,4),(3,7),(4,25),(5,17),(6,24),(7,13),(7,25),(8,10),(8,28),(9,27),(10,9),(10,29),(11,22),(11,23),(12,21),(12,28),(13,18),(13,21),(14,30),(15,30),(17,6),(18,17),(19,16),(20,15),(20,31),(21,26),(22,24),(22,31),(23,14),(23,31),(24,19),(25,5),(25,18),(26,20),(26,22),(27,14),(27,15),(28,11),(28,26),(28,29),(29,20),(29,23),(29,27),(30,16),(31,19),(31,30)],32)
[[1,4,6],[3]]=>([(0,1),(1,2),(1,4),(2,13),(3,6),(3,18),(4,7),(4,13),(5,16),(6,21),(7,8),(7,19),(8,5),(8,20),(9,12),(9,15),(10,24),(11,24),(12,23),(13,3),(13,19),(14,11),(14,23),(15,10),(15,23),(16,17),(17,10),(17,11),(18,9),(18,21),(18,22),(19,18),(19,20),(20,16),(20,22),(21,12),(21,14),(22,14),(22,15),(22,17),(23,24)],25)
[[1,3,5],[6]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,3,6],[5]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,7),(4,28),(5,19),(6,27),(7,14),(7,28),(8,9),(8,32),(9,10),(9,33),(10,30),(11,17),(11,26),(12,24),(12,25),(13,23),(13,32),(14,20),(14,23),(15,34),(16,35),(17,36),(18,35),(19,6),(20,19),(21,17),(21,34),(22,15),(22,37),(23,29),(24,27),(24,37),(25,11),(25,21),(25,37),(26,16),(26,36),(27,31),(28,5),(28,20),(29,22),(29,24),(30,15),(30,21),(31,16),(31,18),(32,12),(32,29),(32,33),(33,22),(33,25),(33,30),(34,18),(34,36),(36,35),(37,26),(37,31),(37,34)],38)
[[1,5,6],[3]]=>([(0,1),(1,2),(1,4),(2,15),(3,6),(3,21),(4,8),(4,15),(5,19),(6,23),(7,5),(7,24),(8,7),(8,22),(9,11),(9,17),(10,13),(10,14),(11,26),(12,28),(13,27),(14,27),(15,3),(15,22),(16,12),(16,26),(17,10),(17,18),(17,26),(18,13),(18,28),(19,20),(20,12),(20,18),(21,9),(21,23),(21,25),(22,21),(22,24),(23,11),(23,16),(24,19),(24,25),(25,16),(25,17),(25,20),(26,14),(26,28),(28,27)],29)
[[1,3,6],[6]]=>([(0,2),(0,3),(1,9),(1,14),(2,1),(3,4),(3,8),(4,31),(5,29),(6,21),(7,30),(8,15),(8,31),(9,10),(9,35),(10,11),(10,36),(11,34),(12,20),(12,26),(13,25),(13,27),(14,24),(14,35),(15,22),(15,24),(16,37),(17,38),(19,37),(20,5),(20,40),(21,7),(22,21),(23,17),(23,39),(24,32),(25,30),(25,39),(26,16),(26,40),(27,12),(27,28),(27,39),(28,20),(28,38),(29,18),(30,33),(31,6),(31,22),(32,23),(32,25),(33,16),(33,19),(34,17),(34,28),(35,13),(35,32),(35,36),(36,23),(36,27),(36,34),(37,18),(38,19),(38,40),(39,26),(39,33),(39,38),(40,29),(40,37)],41)
[[1,6,6],[3]]=>([(0,1),(1,4),(1,5),(2,16),(3,7),(3,26),(4,21),(5,8),(5,21),(6,9),(6,24),(7,22),(8,6),(8,23),(9,17),(10,14),(10,15),(11,13),(11,20),(12,28),(13,29),(14,30),(15,2),(15,30),(17,25),(18,15),(18,28),(19,12),(19,29),(20,10),(20,18),(20,29),(21,3),(21,23),(22,13),(22,19),(23,24),(23,26),(24,17),(24,27),(25,12),(25,18),(26,11),(26,22),(26,27),(27,19),(27,20),(27,25),(28,30),(29,14),(29,28),(30,16)],31)
[[1,4,4],[6]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,4,6],[4]]=>([(0,1),(1,4),(1,5),(2,8),(2,24),(3,18),(4,19),(5,9),(5,19),(6,7),(6,22),(7,15),(8,20),(9,6),(9,21),(10,14),(10,17),(11,26),(12,26),(14,3),(14,27),(15,23),(16,11),(16,27),(17,12),(17,27),(18,13),(19,2),(19,21),(20,14),(20,16),(21,22),(21,24),(22,15),(22,25),(23,11),(23,12),(24,10),(24,20),(24,25),(25,16),(25,17),(25,23),(26,13),(27,18),(27,26)],28)
[[1,4,5],[6]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,4,6],[5]]=>([(0,2),(0,3),(1,8),(1,16),(2,1),(3,6),(3,7),(4,36),(5,35),(6,17),(6,43),(7,10),(7,43),(8,9),(8,42),(9,11),(9,44),(10,40),(11,41),(12,28),(12,30),(13,21),(13,34),(14,20),(14,25),(15,31),(15,32),(16,29),(16,42),(17,29),(17,39),(18,45),(19,49),(20,12),(20,49),(21,47),(23,46),(24,5),(25,4),(25,49),(26,21),(26,45),(27,18),(27,48),(28,38),(29,37),(30,24),(31,28),(31,48),(32,13),(32,26),(32,48),(33,35),(33,46),(34,33),(34,47),(35,22),(36,24),(37,27),(37,31),(38,23),(38,33),(39,19),(39,20),(40,19),(40,25),(41,18),(41,26),(42,15),(42,37),(42,44),(43,14),(43,39),(43,40),(44,27),(44,32),(44,41),(45,23),(45,47),(46,22),(47,46),(48,34),(48,38),(48,45),(49,30),(49,36)],50)
[[1,5,6],[4]]=>([(0,1),(1,4),(1,5),(2,27),(3,8),(3,28),(4,22),(5,9),(5,22),(6,7),(6,26),(7,19),(8,23),(9,6),(9,24),(10,14),(10,21),(11,16),(11,20),(12,30),(13,31),(14,32),(15,31),(16,2),(16,33),(17,14),(17,30),(18,12),(18,33),(19,25),(20,10),(20,17),(20,33),(21,13),(21,32),(22,3),(22,24),(23,16),(23,18),(24,26),(24,28),(25,12),(25,17),(26,19),(26,29),(27,13),(27,15),(28,11),(28,23),(28,29),(29,18),(29,20),(29,25),(30,15),(30,32),(32,31),(33,21),(33,27),(33,30)],34)
[[1,4,6],[6]]=>([(0,2),(0,3),(1,9),(1,17),(2,1),(3,7),(3,8),(4,39),(5,40),(6,38),(7,18),(7,47),(8,11),(8,47),(9,10),(9,46),(10,12),(10,48),(11,43),(12,44),(13,31),(13,33),(14,26),(14,37),(15,23),(15,25),(16,35),(16,36),(17,32),(17,46),(18,32),(18,42),(20,53),(21,49),(22,52),(23,13),(23,52),(24,6),(25,4),(25,52),(26,5),(26,51),(27,38),(27,53),(28,26),(28,49),(29,19),(30,19),(31,45),(32,41),(33,24),(34,21),(34,50),(35,31),(35,50),(36,14),(36,28),(36,50),(37,27),(37,51),(38,30),(39,24),(40,29),(41,34),(41,35),(42,22),(42,23),(43,22),(43,25),(44,21),(44,28),(45,20),(45,27),(46,16),(46,41),(46,48),(47,15),(47,42),(47,43),(48,34),(48,36),(48,44),(49,20),(49,51),(50,37),(50,45),(50,49),(51,40),(51,53),(52,33),(52,39),(53,29),(53,30)],54)
[[1,6,6],[4]]=>([(0,1),(1,5),(1,6),(2,30),(3,9),(3,31),(4,24),(5,25),(6,10),(6,25),(7,8),(7,28),(8,19),(9,26),(10,7),(10,27),(11,18),(11,22),(12,17),(12,21),(13,34),(14,33),(16,33),(17,4),(17,36),(18,2),(18,35),(19,29),(20,13),(20,35),(21,14),(21,36),(22,12),(22,23),(22,35),(23,17),(23,34),(24,15),(25,3),(25,27),(26,18),(26,20),(27,28),(27,31),(28,19),(28,32),(29,13),(29,23),(30,14),(30,16),(31,11),(31,26),(31,32),(32,20),(32,22),(32,29),(33,15),(34,16),(34,36),(35,21),(35,30),(35,34),(36,24),(36,33)],37)
[[1,5,5],[6]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,5,6],[5]]=>([(0,1),(1,5),(1,6),(2,30),(3,18),(4,8),(4,29),(5,24),(6,9),(6,24),(7,10),(7,27),(8,25),(9,7),(9,26),(10,19),(11,15),(11,23),(12,17),(12,22),(13,35),(14,34),(15,33),(16,3),(16,34),(17,2),(17,32),(19,28),(20,15),(20,35),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,4),(24,26),(25,17),(25,21),(26,27),(26,29),(27,19),(27,31),(28,13),(28,20),(29,12),(29,25),(29,31),(30,14),(30,16),(31,21),(31,22),(31,28),(32,23),(32,30),(32,35),(33,34),(34,18),(35,14),(35,33)],36)
[[1,5,6],[6]]=>([(0,2),(0,3),(1,9),(1,20),(2,1),(3,4),(3,8),(4,12),(4,59),(5,50),(6,51),(7,31),(8,21),(8,59),(9,13),(9,58),(10,54),(11,55),(12,10),(12,60),(13,11),(13,61),(14,39),(14,41),(15,40),(15,57),(16,29),(16,48),(17,30),(17,49),(18,27),(18,46),(19,45),(19,47),(20,42),(20,58),(21,42),(21,53),(22,62),(23,63),(24,69),(25,68),(26,14),(26,69),(27,15),(27,64),(28,7),(29,5),(29,66),(30,6),(30,67),(32,31),(33,39),(33,68),(34,32),(35,32),(36,28),(37,29),(37,62),(38,30),(38,63),(39,34),(40,56),(41,28),(42,52),(43,22),(43,65),(44,23),(44,64),(45,40),(45,65),(46,17),(46,38),(46,64),(47,16),(47,37),(47,65),(48,33),(48,66),(49,26),(49,67),(50,35),(51,36),(52,43),(52,45),(53,27),(53,44),(54,23),(54,38),(55,22),(55,37),(56,25),(56,33),(57,24),(57,26),(58,19),(58,52),(58,61),(59,18),(59,53),(59,60),(60,44),(60,46),(60,54),(61,43),(61,47),(61,55),(62,25),(62,66),(63,24),(63,67),(64,49),(64,57),(64,63),(65,48),(65,56),(65,62),(66,50),(66,68),(67,51),(67,69),(68,34),(68,35),(69,36),(69,41)],70)
[[1,6,6],[5]]=>([(0,1),(1,6),(1,7),(2,34),(3,27),(4,10),(4,33),(5,26),(6,28),(7,11),(7,28),(8,9),(8,31),(9,21),(10,29),(11,8),(11,30),(12,18),(12,25),(13,19),(13,24),(15,36),(16,39),(17,5),(17,39),(18,3),(18,38),(19,2),(19,37),(20,18),(20,36),(21,32),(22,14),(23,15),(23,37),(24,12),(24,20),(24,37),(25,17),(25,38),(26,14),(27,22),(28,4),(28,30),(29,19),(29,23),(30,31),(30,33),(31,21),(31,35),(32,15),(32,20),(33,13),(33,29),(33,35),(34,16),(34,17),(35,23),(35,24),(35,32),(36,16),(36,38),(37,25),(37,34),(37,36),(38,27),(38,39),(39,22),(39,26)],40)
[[1,6,6],[6]]=>([(0,2),(2,7),(2,8),(3,35),(4,28),(5,11),(5,34),(6,27),(7,29),(8,12),(8,29),(9,10),(9,32),(10,23),(11,30),(12,9),(12,31),(13,19),(13,26),(14,20),(14,25),(15,37),(16,40),(17,1),(18,6),(18,40),(19,4),(19,39),(20,3),(20,38),(21,17),(22,19),(22,37),(23,33),(24,15),(24,38),(25,13),(25,22),(25,38),(26,18),(26,39),(27,17),(28,21),(29,5),(29,31),(30,20),(30,24),(31,32),(31,34),(32,23),(32,36),(33,15),(33,22),(34,14),(34,30),(34,36),(35,16),(35,18),(36,24),(36,25),(36,33),(37,16),(37,39),(38,26),(38,35),(38,37),(39,28),(39,40),(40,21),(40,27)],41)
[[2,2,2],[6]]=>([(0,1),(1,2),(1,3),(2,7),(2,14),(3,6),(3,14),(4,11),(5,12),(6,4),(6,15),(7,5),(7,16),(9,8),(10,8),(11,9),(12,10),(13,9),(13,10),(14,15),(14,16),(15,11),(15,13),(16,12),(16,13)],17)
[[2,2,3],[6]]=>([(0,1),(1,2),(1,3),(2,7),(2,17),(3,6),(3,17),(4,18),(5,19),(6,4),(6,20),(7,5),(7,21),(8,12),(8,13),(9,25),(10,23),(11,24),(12,10),(12,22),(13,11),(13,22),(14,9),(14,23),(15,9),(15,24),(16,14),(16,15),(16,22),(17,8),(17,20),(17,21),(18,10),(18,14),(19,11),(19,15),(20,12),(20,16),(20,18),(21,13),(21,16),(21,19),(22,23),(22,24),(23,25),(24,25)],26)
[[2,2,6],[3]]=>([(0,3),(0,4),(1,5),(2,6),(2,10),(3,1),(4,2),(5,8),(5,20),(6,9),(6,19),(7,16),(8,15),(9,7),(9,21),(10,19),(10,20),(12,13),(13,11),(14,11),(15,12),(16,14),(17,12),(17,18),(18,13),(18,14),(19,17),(19,21),(20,15),(20,17),(21,16),(21,18)],22)
[[2,2,4],[6]]=>([(0,1),(1,2),(1,3),(2,6),(2,21),(3,7),(3,21),(4,22),(5,23),(6,5),(6,24),(7,4),(7,25),(8,15),(8,16),(9,11),(9,14),(10,30),(11,28),(12,27),(13,29),(14,13),(14,28),(15,12),(15,31),(16,9),(16,17),(16,31),(17,11),(17,26),(18,10),(18,26),(19,10),(19,27),(20,18),(20,19),(20,31),(21,8),(21,24),(21,25),(22,17),(22,18),(23,12),(23,19),(24,15),(24,20),(24,23),(25,16),(25,20),(25,22),(26,28),(26,30),(27,13),(27,30),(28,29),(30,29),(31,14),(31,26),(31,27)],32)
[[2,2,6],[4]]=>([(0,3),(0,4),(1,6),(2,5),(2,11),(3,1),(4,2),(5,9),(5,23),(6,8),(6,20),(7,24),(8,19),(9,7),(9,26),(10,15),(10,16),(11,20),(11,23),(12,30),(13,29),(14,28),(15,14),(15,27),(16,13),(16,27),(17,12),(17,29),(18,12),(18,28),(19,22),(20,19),(20,25),(21,17),(21,18),(21,27),(22,13),(22,17),(23,10),(23,25),(23,26),(24,14),(24,18),(25,16),(25,21),(25,22),(26,15),(26,21),(26,24),(27,28),(27,29),(28,30),(29,30)],31)
[[2,2,5],[6]]=>([(0,1),(1,3),(1,4),(2,16),(3,7),(3,24),(4,8),(4,24),(5,25),(6,26),(7,6),(7,27),(8,5),(8,28),(9,18),(9,19),(10,12),(10,17),(11,32),(12,2),(12,34),(13,30),(14,31),(16,15),(17,14),(17,34),(18,13),(18,33),(19,10),(19,20),(19,33),(20,12),(20,29),(21,11),(21,29),(22,11),(22,30),(23,21),(23,22),(23,33),(24,9),(24,27),(24,28),(25,20),(25,21),(26,13),(26,22),(27,18),(27,23),(27,26),(28,19),(28,23),(28,25),(29,32),(29,34),(30,14),(30,32),(31,15),(32,31),(33,17),(33,29),(33,30),(34,16),(34,31)],35)
[[2,2,6],[5]]=>([(0,3),(0,4),(1,6),(2,5),(2,12),(3,1),(4,2),(5,9),(5,27),(6,8),(6,24),(7,28),(8,23),(9,7),(9,30),(10,18),(10,19),(11,14),(11,17),(12,24),(12,27),(13,35),(14,33),(15,32),(16,34),(17,16),(17,33),(18,15),(18,36),(19,11),(19,20),(19,36),(20,14),(20,31),(21,13),(21,31),(22,13),(22,32),(23,25),(24,23),(24,29),(25,15),(25,22),(26,21),(26,22),(26,36),(27,10),(27,29),(27,30),(28,20),(28,21),(29,18),(29,25),(29,26),(30,19),(30,26),(30,28),(31,33),(31,35),(32,16),(32,35),(33,34),(35,34),(36,17),(36,31),(36,32)],37)
[[2,2,6],[6]]=>([(0,3),(0,4),(1,7),(2,6),(2,13),(3,1),(4,2),(5,26),(6,9),(6,31),(7,8),(7,30),(8,19),(9,10),(9,32),(10,27),(11,21),(11,22),(12,18),(12,20),(13,30),(13,31),(14,37),(15,35),(16,36),(18,5),(18,39),(19,28),(20,16),(20,39),(21,15),(21,38),(22,12),(22,23),(22,38),(23,18),(23,34),(24,14),(24,34),(25,14),(25,35),(26,17),(27,23),(27,24),(28,15),(28,25),(29,24),(29,25),(29,38),(30,19),(30,33),(31,11),(31,32),(31,33),(32,22),(32,27),(32,29),(33,21),(33,28),(33,29),(34,37),(34,39),(35,16),(35,37),(36,17),(37,36),(38,20),(38,34),(38,35),(39,26),(39,36)],40)
[[2,3,3],[6]]=>([(0,1),(1,2),(1,3),(2,6),(2,21),(3,7),(3,21),(4,22),(5,23),(6,5),(6,24),(7,4),(7,25),(8,15),(8,16),(9,11),(9,14),(10,30),(11,28),(12,27),(13,29),(14,13),(14,28),(15,12),(15,31),(16,9),(16,17),(16,31),(17,11),(17,26),(18,10),(18,26),(19,10),(19,27),(20,18),(20,19),(20,31),(21,8),(21,24),(21,25),(22,17),(22,18),(23,12),(23,19),(24,15),(24,20),(24,23),(25,16),(25,20),(25,22),(26,28),(26,30),(27,13),(27,30),(28,29),(30,29),(31,14),(31,26),(31,27)],32)
[[2,3,6],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,25),(5,8),(5,35),(6,13),(6,34),(7,11),(7,12),(7,25),(8,31),(9,18),(9,19),(10,9),(10,29),(10,30),(11,33),(11,35),(12,10),(12,32),(12,33),(13,14),(13,22),(14,36),(15,37),(16,37),(17,24),(17,36),(18,21),(19,20),(20,16),(21,15),(22,23),(22,36),(23,16),(23,38),(24,15),(24,38),(25,6),(25,32),(26,21),(26,24),(27,20),(27,23),(28,17),(28,26),(29,18),(29,26),(30,19),(30,27),(31,14),(31,17),(32,30),(32,34),(33,28),(33,29),(34,22),(34,27),(35,28),(35,31),(36,38),(38,37)],39)
[[2,3,4],[6]]=>([(0,1),(1,2),(1,3),(2,7),(2,23),(3,6),(3,23),(4,27),(5,28),(6,4),(6,29),(7,5),(7,30),(8,15),(8,25),(9,16),(9,26),(10,21),(10,22),(11,35),(11,36),(12,35),(12,37),(13,36),(13,38),(14,34),(15,32),(16,33),(17,14),(17,39),(18,14),(18,40),(19,15),(19,39),(20,16),(20,40),(21,8),(21,19),(21,31),(22,9),(22,20),(22,31),(23,10),(23,29),(23,30),(24,17),(24,18),(24,31),(25,11),(25,13),(25,32),(26,11),(26,12),(26,33),(27,17),(27,19),(28,18),(28,20),(29,21),(29,24),(29,27),(30,22),(30,24),(30,28),(31,25),(31,26),(31,39),(31,40),(32,35),(32,38),(33,36),(33,37),(34,37),(34,38),(35,41),(36,41),(37,41),(38,41),(39,12),(39,32),(39,34),(40,13),(40,33),(40,34)],42)
[[2,3,6],[4]]=>([(0,2),(0,3),(1,7),(1,13),(2,1),(3,4),(3,6),(4,29),(5,28),(6,14),(6,29),(7,9),(7,36),(8,33),(9,8),(9,37),(10,24),(10,35),(11,17),(11,27),(12,22),(12,23),(13,34),(13,36),(14,12),(14,31),(14,34),(15,43),(16,41),(17,39),(18,39),(18,40),(19,44),(20,17),(21,19),(21,42),(22,30),(23,20),(24,16),(24,45),(25,15),(25,41),(26,15),(26,40),(27,21),(27,39),(28,11),(28,20),(29,5),(29,31),(30,18),(30,26),(31,23),(31,28),(32,25),(32,26),(32,45),(33,16),(33,25),(34,22),(34,38),(35,18),(35,27),(35,45),(36,10),(36,37),(36,38),(37,24),(37,32),(37,33),(38,30),(38,32),(38,35),(39,42),(40,42),(40,43),(41,19),(41,43),(42,44),(43,44),(45,21),(45,40),(45,41)],46)
[[2,4,6],[3]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,38),(5,31),(6,23),(7,11),(7,35),(8,9),(8,12),(8,23),(9,38),(9,39),(10,27),(10,28),(11,19),(11,36),(12,13),(12,37),(12,39),(13,14),(13,32),(13,33),(14,20),(14,22),(15,44),(16,43),(17,43),(17,44),(18,46),(19,42),(20,34),(21,26),(21,42),(22,24),(23,7),(23,37),(24,16),(25,17),(25,41),(25,45),(26,16),(26,45),(27,18),(27,41),(28,15),(28,41),(29,24),(29,26),(30,21),(30,29),(31,19),(31,21),(32,22),(32,29),(33,20),(33,40),(34,15),(34,17),(35,10),(35,36),(35,40),(36,25),(36,27),(36,42),(37,33),(37,35),(38,30),(38,31),(39,30),(39,32),(40,25),(40,28),(40,34),(41,44),(41,46),(42,18),(42,45),(43,47),(44,47),(45,43),(45,46),(46,47)],48)
[[2,3,5],[6]]=>([(0,1),(1,3),(1,4),(2,28),(3,7),(3,26),(4,8),(4,26),(5,31),(6,32),(7,5),(7,33),(8,6),(8,34),(9,24),(9,25),(10,19),(10,29),(11,18),(11,30),(12,41),(12,42),(13,40),(13,45),(14,40),(14,42),(15,39),(16,39),(17,35),(18,38),(19,2),(19,37),(20,17),(20,43),(21,17),(21,44),(22,19),(22,44),(23,18),(23,43),(24,11),(24,23),(24,36),(25,10),(25,22),(25,36),(26,9),(26,33),(26,34),(27,20),(27,21),(27,36),(28,15),(28,16),(29,13),(29,14),(29,37),(30,12),(30,14),(30,38),(31,20),(31,23),(32,21),(32,22),(33,24),(33,27),(33,31),(34,25),(34,27),(34,32),(35,41),(35,45),(36,29),(36,30),(36,43),(36,44),(37,28),(37,42),(37,45),(38,40),(38,41),(40,46),(41,46),(42,15),(42,46),(43,13),(43,35),(43,38),(44,12),(44,35),(44,37),(45,16),(45,46),(46,39)],47)
[[2,3,6],[5]]=>([(0,2),(0,3),(1,7),(1,14),(2,1),(3,4),(3,6),(4,32),(5,31),(6,15),(6,32),(7,8),(7,41),(8,9),(8,43),(9,34),(10,19),(10,40),(11,27),(11,38),(12,17),(12,24),(13,25),(13,26),(14,37),(14,41),(15,13),(15,33),(15,37),(16,51),(17,44),(18,44),(18,46),(19,49),(20,47),(20,48),(21,47),(21,53),(22,48),(22,52),(23,17),(24,39),(24,44),(25,35),(26,23),(27,10),(27,28),(27,45),(28,19),(28,50),(29,16),(29,50),(30,16),(30,46),(31,12),(31,23),(32,5),(32,33),(33,26),(33,31),(34,28),(34,29),(35,18),(35,30),(36,29),(36,30),(36,45),(37,25),(37,42),(38,18),(38,24),(38,45),(39,20),(39,22),(39,54),(40,20),(40,21),(40,49),(41,11),(41,42),(41,43),(42,35),(42,36),(42,38),(43,27),(43,34),(43,36),(44,54),(45,39),(45,40),(45,46),(45,50),(46,21),(46,51),(46,54),(47,55),(48,55),(49,48),(49,53),(50,22),(50,49),(50,51),(51,52),(51,53),(52,55),(53,55),(54,47),(54,52)],56)
[[2,5,6],[3]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,42),(5,35),(6,23),(7,13),(7,39),(8,10),(8,11),(8,23),(9,21),(9,31),(10,15),(10,41),(10,43),(11,42),(11,43),(12,30),(12,32),(13,20),(13,40),(14,24),(14,25),(15,14),(15,33),(15,36),(16,49),(17,46),(17,49),(18,51),(19,48),(20,45),(21,47),(22,21),(22,46),(23,7),(23,41),(24,38),(25,27),(26,29),(26,45),(27,16),(28,17),(28,50),(28,53),(29,16),(29,50),(30,19),(30,53),(31,18),(31,47),(32,9),(32,22),(32,53),(33,25),(33,37),(34,26),(34,37),(35,20),(35,26),(36,24),(36,44),(37,27),(37,29),(38,17),(38,22),(39,12),(39,40),(39,44),(40,28),(40,30),(40,45),(41,36),(41,39),(42,34),(42,35),(43,33),(43,34),(44,28),(44,32),(44,38),(45,19),(45,50),(46,47),(46,52),(47,51),(48,18),(48,52),(49,52),(50,48),(50,49),(52,51),(53,31),(53,46),(53,48)],54)
[[2,3,6],[6]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,5),(3,7),(4,45),(5,35),(6,34),(7,16),(7,35),(8,9),(8,44),(9,10),(9,47),(10,37),(11,25),(11,43),(12,30),(12,41),(13,18),(13,27),(14,28),(14,29),(15,40),(15,44),(16,14),(16,36),(16,40),(17,56),(18,48),(19,48),(19,51),(20,52),(20,53),(21,49),(22,49),(23,52),(23,58),(24,53),(24,57),(25,4),(25,55),(26,18),(27,42),(27,48),(28,38),(29,26),(30,11),(30,31),(30,50),(31,25),(31,54),(32,17),(32,51),(33,17),(33,54),(34,13),(34,26),(35,6),(35,36),(36,29),(36,34),(37,31),(37,33),(38,19),(38,32),(39,32),(39,33),(39,50),(40,28),(40,46),(41,19),(41,27),(41,50),(42,20),(42,24),(42,59),(43,20),(43,23),(43,55),(44,12),(44,46),(44,47),(45,21),(45,22),(46,38),(46,39),(46,41),(47,30),(47,37),(47,39),(48,59),(50,42),(50,43),(50,51),(50,54),(51,23),(51,56),(51,59),(52,60),(53,22),(53,60),(54,24),(54,55),(54,56),(55,45),(55,53),(55,58),(56,57),(56,58),(57,60),(58,21),(58,60),(59,52),(59,57),(60,49)],61)
[[2,6,6],[3]]=>([(0,2),(0,3),(1,5),(2,7),(2,9),(3,1),(4,30),(5,6),(5,45),(6,38),(7,24),(8,14),(8,42),(9,11),(9,12),(9,24),(10,23),(10,34),(11,16),(11,44),(11,46),(12,45),(12,46),(13,33),(13,35),(14,22),(14,43),(15,27),(15,28),(16,15),(16,36),(16,39),(17,50),(18,48),(18,50),(20,51),(21,52),(22,49),(23,4),(23,55),(24,8),(24,44),(25,17),(26,23),(26,48),(27,25),(28,40),(29,32),(29,49),(30,19),(31,18),(31,53),(31,56),(32,17),(32,53),(33,21),(33,56),(34,20),(34,55),(35,10),(35,26),(35,56),(36,27),(36,41),(37,29),(37,41),(38,22),(38,29),(39,28),(39,47),(40,18),(40,26),(41,25),(41,32),(42,13),(42,43),(42,47),(43,31),(43,33),(43,49),(44,39),(44,42),(45,37),(45,38),(46,36),(46,37),(47,31),(47,35),(47,40),(48,54),(48,55),(49,21),(49,53),(50,54),(51,19),(52,20),(52,54),(53,50),(53,52),(54,51),(55,30),(55,51),(56,34),(56,48),(56,52)],57)
[[2,4,4],[6]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,6),(3,26),(4,30),(5,31),(6,4),(6,32),(7,5),(7,33),(8,16),(8,17),(9,18),(9,28),(10,19),(10,29),(11,24),(11,25),(12,39),(12,41),(13,40),(13,42),(14,8),(14,41),(14,42),(15,34),(16,38),(17,38),(18,36),(19,37),(20,15),(20,43),(21,15),(21,44),(22,18),(22,43),(23,19),(23,44),(24,9),(24,22),(24,35),(25,10),(25,23),(25,35),(26,11),(26,32),(26,33),(27,20),(27,21),(27,35),(28,13),(28,14),(28,36),(29,12),(29,14),(29,37),(30,20),(30,22),(31,21),(31,23),(32,24),(32,27),(32,30),(33,25),(33,27),(33,31),(34,39),(34,40),(35,28),(35,29),(35,43),(35,44),(36,40),(36,41),(37,39),(37,42),(39,45),(40,45),(41,16),(41,45),(42,17),(42,45),(43,12),(43,34),(43,36),(44,13),(44,34),(44,37),(45,38)],46)
[[2,4,6],[4]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,42),(5,35),(6,22),(7,13),(7,39),(8,10),(8,11),(8,22),(9,21),(9,31),(10,15),(10,41),(10,43),(11,42),(11,43),(12,30),(12,32),(13,20),(13,40),(14,23),(14,24),(15,14),(15,33),(15,36),(16,45),(17,48),(18,45),(18,48),(19,50),(20,53),(21,47),(22,7),(22,41),(23,38),(24,27),(25,28),(25,53),(26,18),(26,46),(26,52),(27,17),(28,17),(28,46),(29,21),(29,49),(30,16),(30,52),(31,19),(31,47),(32,9),(32,29),(32,52),(33,24),(33,37),(34,25),(34,37),(35,20),(35,25),(36,23),(36,44),(37,27),(37,28),(38,16),(38,18),(39,12),(39,40),(39,44),(40,26),(40,32),(40,53),(41,36),(41,39),(42,34),(42,35),(43,33),(43,34),(44,26),(44,30),(44,38),(45,19),(45,51),(46,48),(46,49),(47,50),(48,51),(49,47),(49,51),(51,50),(52,31),(52,45),(52,49),(53,29),(53,46)],54)
[[2,4,5],[6]]=>([(0,1),(1,3),(1,4),(2,32),(3,7),(3,30),(4,8),(4,30),(5,35),(6,36),(7,5),(7,37),(8,6),(8,38),(9,19),(9,29),(10,26),(10,27),(11,20),(11,33),(12,21),(12,34),(13,46),(14,48),(14,51),(15,45),(15,47),(16,9),(16,45),(16,48),(17,44),(18,39),(19,43),(20,41),(21,2),(21,42),(22,18),(22,49),(23,18),(23,50),(24,20),(24,50),(25,21),(25,49),(26,12),(26,25),(26,40),(27,11),(27,24),(27,40),(28,13),(28,44),(29,13),(29,43),(30,10),(30,37),(30,38),(31,22),(31,23),(31,40),(32,17),(32,28),(33,15),(33,16),(33,41),(34,14),(34,16),(34,42),(35,22),(35,25),(36,23),(36,24),(37,26),(37,31),(37,35),(38,27),(38,31),(38,36),(39,47),(39,51),(40,33),(40,34),(40,49),(40,50),(41,47),(41,48),(42,32),(42,45),(42,51),(43,46),(44,46),(45,28),(45,29),(45,52),(47,52),(48,19),(48,52),(49,15),(49,39),(49,42),(50,14),(50,39),(50,41),(51,17),(51,52),(52,43),(52,44)],53)
[[2,4,6],[5]]=>([(0,2),(0,3),(1,7),(1,16),(2,1),(3,5),(3,6),(4,53),(5,10),(5,54),(6,17),(6,54),(7,9),(7,52),(8,45),(9,8),(9,55),(10,43),(11,25),(11,37),(12,28),(12,51),(13,30),(13,40),(14,41),(14,49),(15,36),(15,47),(16,46),(16,52),(17,15),(17,46),(17,57),(18,29),(18,39),(18,42),(19,67),(20,72),(21,66),(21,68),(22,69),(22,71),(23,70),(24,11),(24,70),(25,64),(26,58),(26,73),(27,60),(28,59),(29,58),(29,63),(30,4),(30,62),(31,28),(31,74),(32,27),(32,73),(33,27),(33,74),(34,29),(34,72),(35,37),(35,66),(35,71),(36,44),(37,19),(37,64),(38,20),(38,62),(39,50),(39,58),(40,18),(40,34),(40,62),(41,12),(41,31),(41,61),(42,24),(42,63),(43,30),(43,38),(44,26),(44,32),(45,31),(45,33),(46,36),(46,56),(47,20),(47,34),(48,32),(48,33),(48,61),(49,26),(49,39),(49,61),(50,22),(50,35),(50,65),(51,21),(51,35),(51,59),(52,14),(52,55),(52,56),(53,23),(53,24),(54,13),(54,43),(54,57),(55,41),(55,45),(55,48),(56,44),(56,48),(56,49),(57,38),(57,40),(57,47),(58,65),(59,68),(59,71),(60,68),(60,69),(61,50),(61,51),(61,73),(61,74),(62,42),(62,53),(62,72),(63,70),(64,67),(65,66),(65,69),(66,64),(66,75),(68,75),(69,75),(70,25),(71,19),(71,75),(72,23),(72,63),(73,21),(73,60),(73,65),(74,22),(74,59),(74,60),(75,67)],76)
[[2,5,6],[4]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,45),(5,37),(6,29),(7,11),(7,42),(8,10),(8,14),(8,29),(9,24),(9,47),(10,45),(10,48),(11,22),(11,43),(12,34),(12,35),(13,23),(13,46),(14,15),(14,44),(14,48),(15,16),(15,39),(15,40),(16,25),(16,26),(17,52),(18,51),(18,52),(19,53),(19,54),(20,53),(20,60),(21,54),(21,59),(22,50),(23,56),(24,55),(25,41),(26,30),(27,24),(27,51),(28,32),(28,50),(29,7),(29,44),(30,17),(31,18),(31,58),(31,62),(32,17),(32,58),(33,23),(33,57),(34,13),(34,33),(34,62),(35,9),(35,27),(35,62),(36,30),(36,32),(37,22),(37,28),(38,28),(38,36),(39,26),(39,36),(40,25),(40,49),(41,18),(41,27),(42,12),(42,43),(42,49),(43,31),(43,34),(43,50),(44,40),(44,42),(45,37),(45,38),(46,19),(46,21),(46,56),(47,19),(47,20),(47,55),(48,38),(48,39),(49,31),(49,35),(49,41),(50,33),(50,58),(51,21),(51,55),(51,61),(52,61),(53,63),(54,63),(55,54),(55,60),(56,53),(56,59),(57,20),(57,56),(57,61),(58,52),(58,57),(59,63),(60,63),(61,59),(61,60),(62,46),(62,47),(62,51),(62,57)],64)
[[2,4,6],[6]]=>([(0,2),(0,3),(1,8),(1,17),(2,1),(3,6),(3,7),(4,58),(5,56),(6,18),(6,59),(7,10),(7,59),(8,9),(8,57),(9,11),(9,61),(10,47),(11,49),(12,39),(12,52),(13,30),(13,46),(14,32),(14,55),(15,31),(15,38),(16,37),(16,53),(17,51),(17,57),(18,16),(18,51),(18,60),(19,24),(19,36),(19,45),(20,65),(21,77),(22,76),(23,63),(23,68),(24,63),(24,72),(25,13),(25,67),(26,64),(27,78),(27,81),(28,74),(28,79),(29,67),(30,71),(31,5),(31,80),(32,4),(32,69),(33,24),(33,65),(34,21),(34,64),(35,20),(35,80),(36,54),(36,63),(37,48),(38,19),(38,33),(38,80),(39,14),(39,41),(39,66),(40,46),(40,74),(40,81),(41,32),(41,73),(42,21),(42,70),(43,22),(43,68),(44,22),(44,73),(45,25),(45,72),(46,42),(46,71),(47,31),(47,35),(48,23),(48,43),(49,41),(49,44),(50,43),(50,44),(50,66),(51,37),(51,62),(52,23),(52,36),(52,66),(53,20),(53,33),(54,27),(54,40),(54,75),(55,28),(55,40),(55,69),(56,25),(56,29),(57,12),(57,61),(57,62),(58,26),(58,34),(59,15),(59,47),(59,60),(60,35),(60,38),(60,53),(61,39),(61,49),(61,50),(62,48),(62,50),(62,52),(63,75),(64,77),(65,29),(65,72),(66,54),(66,55),(66,68),(66,73),(67,30),(68,28),(68,75),(68,76),(69,58),(69,79),(69,81),(70,77),(71,70),(72,67),(73,27),(73,69),(73,76),(74,71),(74,82),(75,74),(75,78),(76,78),(76,79),(78,82),(79,26),(79,82),(80,45),(80,56),(80,65),(81,34),(81,42),(81,82),(82,64),(82,70)],83)
[[2,6,6],[4]]=>([(0,2),(0,3),(1,5),(2,7),(2,9),(3,1),(4,45),(5,6),(5,50),(6,41),(7,32),(8,14),(8,46),(9,11),(9,15),(9,32),(10,26),(10,48),(11,50),(11,52),(12,37),(12,38),(13,27),(13,51),(14,25),(14,47),(15,16),(15,49),(15,52),(16,17),(16,42),(16,43),(17,28),(17,29),(18,55),(18,59),(19,54),(19,58),(20,58),(21,56),(22,56),(23,55),(23,64),(24,59),(24,60),(25,57),(26,4),(26,66),(27,61),(28,44),(29,33),(30,35),(30,57),(31,26),(31,54),(32,8),(32,49),(33,20),(34,19),(34,63),(34,67),(35,20),(35,63),(36,27),(36,62),(37,13),(37,36),(37,67),(38,10),(38,31),(38,67),(39,33),(39,35),(40,30),(40,39),(41,25),(41,30),(42,29),(42,39),(43,28),(43,53),(44,19),(44,31),(45,21),(45,22),(46,12),(46,47),(46,53),(47,34),(47,37),(47,57),(48,18),(48,24),(48,66),(49,43),(49,46),(50,40),(50,41),(51,18),(51,23),(51,61),(52,40),(52,42),(53,34),(53,38),(53,44),(54,23),(54,65),(54,66),(55,22),(55,68),(57,36),(57,63),(58,65),(59,68),(60,21),(60,68),(61,59),(61,64),(62,24),(62,61),(62,65),(63,58),(63,62),(64,68),(65,60),(65,64),(66,45),(66,55),(66,60),(67,48),(67,51),(67,54),(67,62),(68,56)],69)
[[2,5,5],[6]]=>([(0,1),(1,4),(1,5),(2,37),(3,23),(4,6),(4,38),(5,7),(5,38),(6,8),(6,39),(7,9),(7,40),(8,32),(9,33),(10,19),(10,31),(11,20),(11,35),(12,22),(12,36),(13,28),(13,29),(14,49),(14,53),(15,47),(15,48),(16,10),(16,47),(16,49),(17,46),(18,44),(19,45),(20,42),(21,3),(21,52),(22,2),(22,43),(24,18),(24,50),(25,18),(25,51),(26,20),(26,51),(27,22),(27,50),(28,11),(28,26),(28,41),(29,12),(29,27),(29,41),(30,21),(30,46),(31,21),(31,45),(32,25),(32,26),(33,24),(33,27),(34,24),(34,25),(34,41),(35,15),(35,16),(35,42),(36,14),(36,16),(36,43),(37,17),(37,30),(38,13),(38,39),(38,40),(39,28),(39,32),(39,34),(40,29),(40,33),(40,34),(41,35),(41,36),(41,50),(41,51),(42,48),(42,49),(43,37),(43,47),(43,53),(44,48),(44,53),(45,52),(46,52),(47,30),(47,31),(47,54),(48,54),(49,19),(49,54),(50,15),(50,43),(50,44),(51,14),(51,42),(51,44),(52,23),(53,17),(53,54),(54,45),(54,46)],55)
[[2,5,6],[5]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,48),(5,40),(6,32),(7,12),(7,45),(8,11),(8,15),(8,32),(9,25),(9,50),(10,26),(10,27),(11,48),(11,51),(12,23),(12,46),(13,37),(13,38),(14,24),(14,49),(15,16),(15,47),(15,51),(16,17),(16,42),(16,43),(17,28),(17,29),(18,56),(19,55),(19,56),(20,57),(20,64),(21,58),(21,63),(22,10),(22,57),(22,58),(23,54),(24,60),(25,59),(26,53),(27,53),(28,44),(29,33),(30,25),(30,55),(31,35),(31,54),(32,7),(32,47),(33,18),(34,19),(34,62),(34,66),(35,18),(35,62),(36,24),(36,61),(37,14),(37,36),(37,66),(38,9),(38,30),(38,66),(39,33),(39,35),(40,23),(40,31),(41,31),(41,39),(42,29),(42,39),(43,28),(43,52),(44,19),(44,30),(45,13),(45,46),(45,52),(46,34),(46,37),(46,54),(47,43),(47,45),(48,40),(48,41),(49,21),(49,22),(49,60),(50,20),(50,22),(50,59),(51,41),(51,42),(52,34),(52,38),(52,44),(54,36),(54,62),(55,21),(55,59),(55,65),(56,65),(57,26),(57,67),(58,27),(58,67),(59,58),(59,64),(60,57),(60,63),(61,20),(61,60),(61,65),(62,56),(62,61),(63,67),(64,67),(65,63),(65,64),(66,49),(66,50),(66,55),(66,61),(67,53)],68)
[[2,5,6],[6]]=>([(0,2),(0,3),(1,8),(1,19),(2,1),(3,6),(3,7),(4,73),(5,72),(6,20),(6,74),(7,9),(7,74),(8,10),(8,71),(9,12),(9,78),(10,11),(10,77),(11,59),(12,60),(13,29),(13,37),(14,47),(14,66),(15,39),(15,70),(16,38),(16,69),(17,46),(17,48),(18,45),(18,64),(19,65),(19,71),(20,18),(20,65),(20,75),(21,36),(21,43),(21,58),(22,28),(22,44),(22,68),(23,98),(24,99),(25,13),(25,97),(26,79),(26,87),(27,21),(27,90),(27,107),(28,79),(28,92),(29,85),(30,104),(30,107),(31,80),(32,82),(33,102),(33,106),(34,93),(34,101),(35,90),(35,103),(36,81),(36,91),(37,85),(38,4),(38,89),(39,5),(39,88),(40,29),(40,105),(41,25),(41,82),(42,40),(42,80),(43,25),(43,81),(44,67),(44,79),(45,62),(46,22),(46,49),(46,83),(47,16),(47,54),(47,84),(48,15),(48,53),(48,83),(49,28),(49,94),(50,58),(50,93),(50,106),(51,40),(51,86),(52,24),(52,94),(53,39),(53,96),(54,38),(54,95),(55,24),(55,96),(56,23),(56,87),(57,23),(57,95),(58,51),(58,91),(59,54),(59,57),(60,53),(60,55),(61,52),(61,55),(61,83),(62,26),(62,56),(63,56),(63,57),(63,84),(64,49),(64,52),(65,45),(65,76),(66,26),(66,44),(66,84),(67,33),(67,50),(67,100),(68,27),(68,30),(68,92),(69,34),(69,50),(69,89),(70,27),(70,35),(70,88),(71,14),(71,76),(71,77),(72,32),(72,41),(73,31),(73,42),(74,17),(74,75),(74,78),(75,46),(75,61),(75,64),(76,62),(76,63),(76,66),(77,47),(77,59),(77,63),(78,48),(78,60),(78,61),(79,100),(80,105),(81,97),(82,97),(83,68),(83,70),(83,94),(83,96),(84,67),(84,69),(84,87),(84,95),(86,105),(87,34),(87,98),(87,100),(88,72),(88,103),(88,107),(89,73),(89,101),(89,106),(90,36),(90,108),(91,86),(92,90),(92,104),(93,91),(93,109),(94,35),(94,92),(94,99),(95,33),(95,89),(95,98),(96,30),(96,88),(96,99),(97,37),(98,101),(98,102),(99,103),(99,104),(100,93),(100,102),(101,31),(101,109),(102,109),(103,32),(103,108),(104,108),(105,85),(106,42),(106,51),(106,109),(107,41),(107,43),(107,108),(108,81),(108,82),(109,80),(109,86)],110)
[[2,6,6],[5]]=>([(0,2),(0,3),(1,5),(2,7),(2,9),(3,1),(4,49),(5,6),(5,54),(6,45),(7,34),(8,15),(8,50),(9,12),(9,16),(9,34),(10,27),(10,52),(11,29),(11,40),(12,54),(12,56),(13,41),(13,42),(14,28),(14,55),(15,26),(15,51),(16,17),(16,53),(16,56),(17,18),(17,46),(17,47),(18,30),(18,31),(19,69),(20,63),(21,58),(21,63),(22,60),(23,59),(23,70),(24,64),(24,65),(25,11),(25,59),(25,64),(26,62),(27,4),(27,72),(28,66),(29,61),(30,48),(31,35),(32,37),(32,62),(33,27),(33,58),(34,8),(34,53),(35,20),(36,21),(36,68),(36,73),(37,20),(37,68),(38,19),(38,60),(39,28),(39,67),(40,19),(40,61),(41,14),(41,39),(41,73),(42,10),(42,33),(42,73),(43,35),(43,37),(44,32),(44,43),(45,26),(45,32),(46,31),(46,43),(47,30),(47,57),(48,21),(48,33),(49,22),(49,38),(50,13),(50,51),(50,57),(51,36),(51,41),(51,62),(52,24),(52,25),(52,72),(53,47),(53,50),(54,44),(54,45),(55,23),(55,25),(55,66),(56,44),(56,46),(57,36),(57,42),(57,48),(58,23),(58,71),(58,72),(59,38),(59,40),(59,74),(60,69),(61,69),(62,39),(62,68),(63,71),(64,29),(64,74),(65,22),(65,74),(66,64),(66,70),(67,24),(67,66),(67,71),(68,63),(68,67),(70,74),(71,65),(71,70),(72,49),(72,59),(72,65),(73,52),(73,55),(73,58),(73,67),(74,60),(74,61)],75)
[[2,6,6],[6]]=>([(0,2),(0,3),(1,6),(2,8),(2,10),(3,1),(4,51),(5,25),(6,7),(6,56),(7,47),(8,36),(9,16),(9,52),(10,13),(10,17),(10,36),(11,29),(11,54),(12,31),(12,42),(13,56),(13,58),(14,43),(14,44),(15,30),(15,57),(16,28),(16,53),(17,18),(17,55),(17,58),(18,19),(18,48),(18,49),(19,32),(19,33),(20,5),(20,71),(21,60),(21,65),(22,65),(23,63),(24,61),(24,72),(26,66),(26,67),(27,12),(27,61),(27,66),(28,64),(29,4),(29,74),(30,68),(31,62),(32,50),(33,37),(34,39),(34,64),(35,29),(35,60),(36,9),(36,55),(37,22),(38,21),(38,70),(38,75),(39,22),(39,70),(40,20),(40,63),(41,30),(41,69),(42,20),(42,62),(43,15),(43,41),(43,75),(44,11),(44,35),(44,75),(45,37),(45,39),(46,34),(46,45),(47,28),(47,34),(48,33),(48,45),(49,32),(49,59),(50,21),(50,35),(51,23),(51,40),(52,14),(52,53),(52,59),(53,38),(53,43),(53,64),(54,26),(54,27),(54,74),(55,49),(55,52),(56,46),(56,47),(57,24),(57,27),(57,68),(58,46),(58,48),(59,38),(59,44),(59,50),(60,24),(60,73),(60,74),(61,40),(61,42),(61,76),(62,71),(63,71),(64,41),(64,70),(65,73),(66,31),(66,76),(67,23),(67,76),(68,66),(68,72),(69,26),(69,68),(69,73),(70,65),(70,69),(71,25),(72,76),(73,67),(73,72),(74,51),(74,61),(74,67),(75,54),(75,57),(75,60),(75,69),(76,62),(76,63)],77)
[[3,3,3],[6]]=>([(0,1),(1,3),(1,4),(2,16),(3,7),(3,24),(4,8),(4,24),(5,25),(6,26),(7,6),(7,27),(8,5),(8,28),(9,18),(9,19),(10,12),(10,17),(11,32),(12,2),(12,34),(13,30),(14,31),(16,15),(17,14),(17,34),(18,13),(18,33),(19,10),(19,20),(19,33),(20,12),(20,29),(21,11),(21,29),(22,11),(22,30),(23,21),(23,22),(23,33),(24,9),(24,27),(24,28),(25,20),(25,21),(26,13),(26,22),(27,18),(27,23),(27,26),(28,19),(28,23),(28,25),(29,32),(29,34),(30,14),(30,32),(31,15),(32,31),(33,17),(33,29),(33,30),(34,16),(34,31)],35)
[[3,3,4],[6]]=>([(0,1),(1,3),(1,4),(2,28),(3,7),(3,26),(4,8),(4,26),(5,31),(6,32),(7,5),(7,33),(8,6),(8,34),(9,24),(9,25),(10,19),(10,29),(11,18),(11,30),(12,41),(12,42),(13,40),(13,45),(14,40),(14,42),(15,39),(16,39),(17,35),(18,38),(19,2),(19,37),(20,17),(20,43),(21,17),(21,44),(22,19),(22,44),(23,18),(23,43),(24,11),(24,23),(24,36),(25,10),(25,22),(25,36),(26,9),(26,33),(26,34),(27,20),(27,21),(27,36),(28,15),(28,16),(29,13),(29,14),(29,37),(30,12),(30,14),(30,38),(31,20),(31,23),(32,21),(32,22),(33,24),(33,27),(33,31),(34,25),(34,27),(34,32),(35,41),(35,45),(36,29),(36,30),(36,43),(36,44),(37,28),(37,42),(37,45),(38,40),(38,41),(40,46),(41,46),(42,15),(42,46),(43,13),(43,35),(43,38),(44,12),(44,35),(44,37),(45,16),(45,46),(46,39)],47)
[[3,3,6],[4]]=>([(0,2),(0,3),(1,8),(1,14),(2,1),(3,4),(3,7),(4,33),(5,32),(6,31),(7,15),(7,33),(8,10),(8,40),(9,37),(10,9),(10,41),(11,21),(11,26),(12,28),(12,39),(13,25),(13,27),(14,38),(14,40),(15,13),(15,34),(15,38),(16,46),(17,44),(18,43),(18,47),(19,45),(21,6),(21,47),(22,19),(22,49),(23,21),(24,20),(25,36),(26,22),(26,47),(27,23),(28,17),(28,48),(29,16),(29,44),(30,16),(30,43),(31,24),(32,11),(32,23),(33,5),(33,34),(34,27),(34,32),(35,29),(35,30),(35,48),(36,18),(36,30),(37,17),(37,29),(38,25),(38,42),(39,18),(39,26),(39,48),(40,12),(40,41),(40,42),(41,28),(41,35),(41,37),(42,35),(42,36),(42,39),(43,46),(43,49),(44,19),(44,46),(45,20),(46,45),(47,31),(47,49),(48,22),(48,43),(48,44),(49,24),(49,45)],50)
[[3,3,5],[6]]=>([(0,1),(1,4),(1,5),(2,36),(3,35),(4,6),(4,37),(5,7),(5,37),(6,8),(6,38),(7,9),(7,39),(8,30),(9,31),(10,22),(10,33),(11,23),(11,34),(12,24),(12,25),(13,43),(14,46),(14,47),(15,50),(16,51),(17,50),(18,51),(19,46),(19,49),(20,47),(20,48),(22,3),(22,41),(23,2),(23,42),(24,10),(24,26),(24,40),(25,11),(25,27),(25,40),(26,22),(26,44),(27,23),(27,45),(28,13),(28,44),(29,13),(29,45),(30,26),(30,28),(31,27),(31,29),(32,28),(32,29),(32,40),(33,14),(33,20),(33,41),(34,14),(34,19),(34,42),(35,15),(35,17),(36,16),(36,18),(37,12),(37,38),(37,39),(38,24),(38,30),(38,32),(39,25),(39,31),(39,32),(40,33),(40,34),(40,44),(40,45),(41,35),(41,46),(41,48),(42,36),(42,47),(42,49),(43,48),(43,49),(44,19),(44,41),(44,43),(45,20),(45,42),(45,43),(46,15),(46,52),(47,16),(47,52),(48,17),(48,52),(49,18),(49,52),(50,21),(51,21),(52,50),(52,51)],53)
[[3,3,6],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,4),(3,7),(4,36),(5,35),(6,34),(7,16),(7,36),(8,9),(8,46),(9,10),(9,48),(10,37),(11,19),(11,45),(12,25),(12,28),(13,30),(13,42),(14,27),(14,29),(15,41),(15,46),(16,14),(16,38),(16,41),(17,57),(18,56),(18,60),(19,54),(20,51),(20,52),(21,49),(22,49),(23,52),(23,58),(24,51),(24,59),(25,6),(25,60),(26,25),(27,40),(28,44),(28,60),(29,26),(30,11),(30,31),(30,50),(31,19),(31,53),(32,17),(32,56),(33,17),(33,53),(34,43),(35,12),(35,26),(36,5),(36,38),(37,31),(37,33),(38,29),(38,35),(39,32),(39,33),(39,50),(40,18),(40,32),(41,27),(41,47),(42,18),(42,28),(42,50),(43,21),(43,22),(44,20),(44,24),(44,55),(45,20),(45,23),(45,54),(46,13),(46,47),(46,48),(47,39),(47,40),(47,42),(48,30),(48,37),(48,39),(50,44),(50,45),(50,53),(50,56),(51,61),(52,22),(52,61),(53,24),(53,54),(53,57),(54,51),(54,58),(55,43),(55,52),(55,59),(56,23),(56,55),(56,57),(57,58),(57,59),(58,61),(59,21),(59,61),(60,34),(60,55),(61,49)],62)
[[3,3,6],[6]]=>([(0,2),(0,3),(1,9),(1,14),(2,1),(3,5),(3,8),(4,50),(5,40),(6,39),(7,38),(8,17),(8,40),(9,10),(9,51),(10,11),(10,53),(11,41),(12,34),(12,49),(13,28),(13,47),(14,48),(14,51),(15,29),(15,33),(16,31),(16,32),(17,16),(17,44),(17,48),(18,58),(19,54),(19,59),(20,61),(20,63),(21,65),(22,65),(23,66),(24,66),(25,62),(25,63),(26,61),(26,64),(28,4),(28,56),(29,7),(29,54),(30,29),(31,46),(32,30),(33,45),(33,54),(34,13),(34,36),(34,55),(35,18),(35,59),(36,28),(36,60),(37,18),(37,60),(38,42),(39,15),(39,30),(40,6),(40,44),(41,36),(41,37),(42,23),(42,24),(43,35),(43,37),(43,55),(44,32),(44,39),(45,20),(45,25),(45,57),(46,19),(46,35),(47,20),(47,26),(47,56),(48,31),(48,52),(49,19),(49,33),(49,55),(50,21),(50,22),(51,12),(51,52),(51,53),(52,43),(52,46),(52,49),(53,34),(53,41),(53,43),(54,38),(54,57),(55,45),(55,47),(55,59),(55,60),(56,50),(56,63),(56,64),(57,42),(57,61),(57,62),(58,62),(58,64),(59,26),(59,57),(59,58),(60,25),(60,56),(60,58),(61,23),(61,67),(62,24),(62,67),(63,22),(63,67),(64,21),(64,67),(65,27),(66,27),(67,65),(67,66)],68)
[[3,4,4],[6]]=>([(0,1),(1,3),(1,4),(2,32),(3,7),(3,30),(4,8),(4,30),(5,35),(6,36),(7,5),(7,37),(8,6),(8,38),(9,19),(9,29),(10,26),(10,27),(11,20),(11,33),(12,21),(12,34),(13,46),(14,48),(14,51),(15,45),(15,47),(16,9),(16,45),(16,48),(17,44),(18,39),(19,43),(20,41),(21,2),(21,42),(22,18),(22,49),(23,18),(23,50),(24,20),(24,50),(25,21),(25,49),(26,12),(26,25),(26,40),(27,11),(27,24),(27,40),(28,13),(28,44),(29,13),(29,43),(30,10),(30,37),(30,38),(31,22),(31,23),(31,40),(32,17),(32,28),(33,15),(33,16),(33,41),(34,14),(34,16),(34,42),(35,22),(35,25),(36,23),(36,24),(37,26),(37,31),(37,35),(38,27),(38,31),(38,36),(39,47),(39,51),(40,33),(40,34),(40,49),(40,50),(41,47),(41,48),(42,32),(42,45),(42,51),(43,46),(44,46),(45,28),(45,29),(45,52),(47,52),(48,19),(48,52),(49,15),(49,39),(49,42),(50,14),(50,39),(50,41),(51,17),(51,52),(52,43),(52,44)],53)
[[3,4,6],[4]]=>([(0,1),(0,2),(1,6),(1,8),(2,5),(2,9),(3,56),(4,43),(5,35),(6,39),(7,16),(7,57),(8,17),(8,39),(9,13),(9,14),(9,35),(10,47),(10,60),(11,46),(11,49),(12,31),(12,48),(13,20),(13,61),(13,63),(14,62),(14,63),(15,44),(15,45),(16,30),(16,59),(17,19),(17,58),(17,62),(18,38),(18,54),(19,36),(19,51),(20,18),(20,50),(20,64),(21,76),(21,77),(22,72),(23,71),(24,71),(24,76),(25,70),(26,67),(26,68),(27,79),(28,73),(29,78),(30,82),(31,3),(31,68),(32,28),(32,84),(33,27),(33,72),(34,31),(35,7),(35,61),(36,34),(37,44),(37,75),(38,55),(39,4),(39,58),(40,21),(40,70),(41,24),(41,69),(41,81),(42,21),(42,67),(42,69),(43,12),(43,34),(44,22),(44,74),(45,29),(45,74),(46,23),(46,81),(47,25),(47,83),(48,32),(48,68),(49,15),(49,37),(49,81),(50,38),(50,66),(51,30),(51,53),(52,40),(52,42),(52,83),(53,26),(53,42),(53,82),(54,25),(54,40),(55,23),(55,24),(56,22),(56,33),(57,11),(57,59),(57,66),(58,36),(58,43),(59,41),(59,49),(59,82),(60,26),(60,48),(60,83),(61,50),(61,57),(62,51),(62,65),(63,10),(63,64),(63,65),(64,47),(64,52),(64,54),(65,52),(65,53),(65,60),(66,41),(66,46),(66,55),(67,77),(67,84),(68,56),(68,84),(69,75),(69,76),(70,28),(70,77),(71,29),(71,80),(72,79),(73,27),(74,72),(74,78),(75,74),(75,80),(76,80),(77,73),(78,79),(80,78),(81,45),(81,71),(81,75),(82,37),(82,69),(83,32),(83,67),(83,70),(84,33),(84,73)],85)
[[3,4,5],[6]]=>([(0,1),(1,4),(1,5),(2,41),(3,40),(4,6),(4,42),(5,7),(5,42),(6,8),(6,43),(7,9),(7,44),(8,35),(9,36),(10,33),(10,34),(11,23),(11,38),(12,24),(12,39),(13,29),(13,30),(14,53),(14,59),(15,52),(15,60),(16,50),(17,51),(18,55),(19,56),(20,54),(21,10),(21,52),(21,53),(22,45),(23,3),(23,47),(24,2),(24,48),(25,22),(25,57),(26,22),(26,58),(27,23),(27,57),(28,24),(28,58),(29,11),(29,27),(29,46),(30,12),(30,28),(30,46),(31,16),(31,55),(32,17),(32,56),(33,16),(33,49),(34,17),(34,49),(35,25),(35,27),(36,26),(36,28),(37,25),(37,26),(37,46),(38,14),(38,21),(38,47),(39,15),(39,21),(39,48),(40,18),(40,31),(41,19),(41,32),(42,13),(42,43),(42,44),(43,29),(43,35),(43,37),(44,30),(44,36),(44,37),(45,59),(45,60),(46,38),(46,39),(46,57),(46,58),(47,40),(47,52),(47,59),(48,41),(48,53),(48,60),(49,50),(49,51),(50,54),(51,54),(52,31),(52,33),(52,61),(53,32),(53,34),(53,61),(55,20),(55,50),(56,20),(56,51),(57,15),(57,45),(57,47),(58,14),(58,45),(58,48),(59,18),(59,61),(60,19),(60,61),(61,49),(61,55),(61,56)],62)
[[3,4,6],[5]]=>([(0,2),(0,3),(1,6),(1,17),(2,9),(2,10),(3,1),(4,54),(5,55),(6,7),(6,61),(7,8),(7,63),(8,51),(9,4),(9,58),(10,16),(10,58),(11,33),(11,60),(12,47),(12,48),(13,49),(13,59),(14,44),(14,45),(15,32),(15,46),(16,18),(16,62),(16,65),(17,61),(17,62),(18,36),(18,50),(19,31),(19,38),(19,39),(20,78),(21,66),(22,69),(23,75),(23,84),(24,67),(25,85),(26,71),(27,70),(27,80),(28,76),(28,79),(29,67),(29,69),(30,12),(30,85),(31,14),(31,83),(31,84),(32,5),(32,82),(33,72),(34,22),(35,21),(35,82),(36,52),(37,31),(37,66),(38,57),(38,84),(39,30),(39,83),(40,33),(40,74),(41,20),(41,74),(42,20),(42,75),(43,48),(43,70),(43,76),(44,56),(45,34),(46,19),(46,37),(46,82),(47,22),(47,77),(48,26),(48,77),(49,11),(49,40),(49,68),(50,21),(50,37),(51,40),(51,41),(52,23),(52,42),(53,41),(53,42),(53,68),(54,32),(54,35),(55,25),(55,30),(56,24),(56,29),(57,27),(57,43),(57,73),(58,15),(58,54),(58,65),(59,23),(59,38),(59,68),(60,28),(60,43),(60,72),(61,13),(61,63),(61,64),(62,36),(62,64),(63,49),(63,51),(63,53),(64,52),(64,53),(64,59),(65,35),(65,46),(65,50),(66,25),(66,83),(67,81),(68,57),(68,60),(68,74),(68,75),(69,81),(70,26),(70,86),(71,81),(72,70),(72,79),(73,56),(73,76),(73,80),(74,27),(74,72),(74,78),(75,28),(75,73),(75,78),(76,29),(76,77),(76,86),(77,69),(77,71),(78,79),(78,80),(79,86),(80,24),(80,86),(82,39),(82,55),(82,66),(83,45),(83,85),(84,44),(84,73),(85,34),(85,47),(86,67),(86,71)],87)
[[3,5,6],[4]]=>([(0,1),(0,2),(1,6),(1,8),(2,5),(2,9),(3,60),(4,48),(5,38),(6,45),(7,17),(7,61),(8,18),(8,45),(9,14),(9,15),(9,38),(10,50),(10,65),(11,52),(11,53),(12,51),(12,66),(13,35),(13,67),(14,21),(14,64),(14,69),(15,68),(15,69),(16,34),(16,49),(17,33),(17,63),(18,20),(18,62),(18,68),(19,44),(19,58),(20,40),(20,56),(21,19),(21,54),(21,70),(22,74),(23,73),(23,75),(24,78),(24,91),(25,79),(26,81),(26,82),(27,78),(27,85),(28,90),(29,80),(30,82),(30,89),(31,81),(31,88),(32,83),(33,93),(34,3),(34,75),(35,84),(36,27),(36,76),(36,77),(37,34),(38,7),(38,64),(39,29),(39,95),(40,37),(41,51),(41,87),(42,24),(42,74),(43,24),(43,73),(43,77),(44,55),(45,4),(45,62),(46,28),(46,79),(47,35),(47,85),(48,16),(48,37),(49,39),(49,75),(50,22),(50,94),(51,25),(51,86),(52,12),(52,41),(52,76),(53,13),(53,47),(53,76),(54,44),(54,72),(55,27),(55,47),(56,33),(56,59),(57,42),(57,43),(57,94),(58,22),(58,42),(59,23),(59,43),(59,93),(60,25),(60,46),(61,11),(61,63),(61,72),(62,40),(62,48),(63,36),(63,52),(63,93),(64,54),(64,61),(65,23),(65,49),(65,94),(66,26),(66,31),(66,86),(67,26),(67,30),(67,84),(68,56),(68,71),(69,10),(69,70),(69,71),(70,50),(70,57),(70,58),(71,57),(71,59),(71,65),(72,36),(72,53),(72,55),(73,91),(73,95),(74,29),(74,91),(75,60),(75,95),(76,66),(76,67),(76,85),(76,87),(77,78),(77,87),(78,92),(79,32),(79,90),(80,28),(81,96),(82,32),(82,96),(84,81),(84,89),(85,31),(85,84),(85,92),(86,79),(86,82),(86,88),(87,30),(87,86),(87,92),(88,90),(88,96),(89,96),(90,83),(91,80),(92,88),(92,89),(93,41),(93,77),(94,39),(94,73),(94,74),(95,46),(95,80),(96,83)],97)
[[3,4,6],[6]]=>([(0,2),(0,3),(1,8),(1,18),(2,1),(3,6),(3,7),(4,67),(5,65),(6,19),(6,68),(7,10),(7,68),(8,9),(8,66),(9,11),(9,70),(10,55),(11,57),(12,47),(12,60),(13,53),(13,54),(14,43),(14,44),(15,36),(15,64),(16,35),(16,46),(17,45),(17,61),(18,59),(18,66),(19,17),(19,59),(19,69),(20,25),(20,41),(20,42),(21,86),(22,72),(23,85),(24,13),(24,93),(25,14),(25,91),(25,92),(26,76),(27,79),(27,92),(28,74),(29,73),(30,88),(30,94),(31,93),(32,82),(32,87),(33,74),(33,76),(34,84),(35,5),(35,90),(36,4),(36,77),(37,25),(37,72),(38,26),(39,21),(39,73),(40,22),(40,90),(41,63),(41,92),(42,24),(42,91),(43,62),(44,38),(45,56),(46,20),(46,37),(46,90),(47,15),(47,49),(47,75),(48,53),(48,82),(48,94),(49,36),(49,81),(50,21),(50,78),(51,23),(51,79),(52,23),(52,81),(53,50),(53,83),(54,26),(54,83),(55,35),(55,40),(56,27),(56,51),(57,49),(57,52),(58,51),(58,52),(58,75),(59,45),(59,71),(60,27),(60,41),(60,75),(61,22),(61,37),(62,28),(62,33),(63,30),(63,48),(63,80),(64,32),(64,48),(64,77),(65,24),(65,31),(66,12),(66,70),(66,71),(67,29),(67,39),(68,16),(68,55),(68,69),(69,40),(69,46),(69,61),(70,47),(70,57),(70,58),(71,56),(71,58),(71,60),(72,31),(72,91),(73,34),(73,86),(74,34),(74,89),(75,63),(75,64),(75,79),(75,81),(76,89),(77,67),(77,87),(77,94),(78,86),(78,89),(79,32),(79,80),(79,85),(80,62),(80,82),(80,88),(81,30),(81,77),(81,85),(82,33),(82,83),(82,95),(83,76),(83,78),(85,87),(85,88),(86,84),(87,29),(87,95),(88,28),(88,95),(89,84),(90,42),(90,65),(90,72),(91,44),(91,93),(92,43),(92,80),(93,38),(93,54),(94,39),(94,50),(94,95),(95,73),(95,74),(95,78)],96)
[[3,6,6],[4]]=>([(0,1),(0,2),(1,7),(1,9),(2,6),(2,10),(3,65),(4,64),(5,52),(6,42),(7,49),(8,18),(8,66),(9,19),(9,49),(10,15),(10,16),(10,42),(11,54),(11,70),(12,56),(12,57),(13,55),(13,71),(14,39),(14,72),(15,22),(15,69),(15,74),(16,73),(16,74),(17,38),(17,53),(18,37),(18,68),(19,21),(19,67),(19,73),(20,48),(20,62),(21,44),(21,60),(22,20),(22,58),(22,75),(23,79),(23,80),(24,78),(25,85),(25,96),(26,84),(27,87),(27,88),(28,85),(28,90),(29,81),(30,81),(31,97),(32,86),(33,87),(33,95),(34,88),(34,94),(36,89),(37,99),(38,4),(38,80),(39,3),(39,91),(40,28),(40,82),(40,83),(41,38),(42,8),(42,69),(43,32),(43,101),(44,41),(45,55),(45,93),(46,25),(46,79),(46,83),(47,25),(47,78),(48,59),(49,5),(49,67),(50,31),(50,84),(51,39),(51,90),(52,17),(52,41),(53,43),(53,80),(54,24),(54,100),(55,26),(55,92),(56,13),(56,45),(56,82),(57,14),(57,51),(57,82),(58,48),(58,77),(59,28),(59,51),(60,37),(60,63),(61,46),(61,47),(61,100),(62,24),(62,47),(63,23),(63,46),(63,99),(64,26),(64,50),(65,29),(65,30),(66,12),(66,68),(66,77),(67,44),(67,52),(68,40),(68,56),(68,99),(69,58),(69,66),(70,23),(70,53),(70,100),(71,27),(71,34),(71,92),(72,27),(72,33),(72,91),(73,60),(73,76),(74,11),(74,75),(74,76),(75,54),(75,61),(75,62),(76,61),(76,63),(76,70),(77,40),(77,57),(77,59),(78,32),(78,96),(79,96),(79,101),(80,64),(80,101),(81,35),(82,71),(82,72),(82,90),(82,93),(83,85),(83,93),(84,36),(84,97),(85,98),(86,31),(87,36),(87,102),(88,30),(88,102),(89,35),(90,34),(90,91),(90,98),(91,65),(91,88),(91,95),(92,84),(92,87),(92,94),(93,33),(93,92),(93,98),(94,97),(94,102),(95,29),(95,102),(96,86),(97,89),(98,94),(98,95),(99,45),(99,83),(100,43),(100,78),(100,79),(101,50),(101,86),(102,81),(102,89)],103)
[[3,5,5],[6]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,7),(5,45),(6,8),(6,45),(7,9),(7,46),(8,10),(8,47),(9,38),(10,39),(11,35),(11,36),(12,25),(12,41),(13,26),(13,42),(14,31),(14,32),(15,56),(15,62),(16,55),(16,63),(17,53),(19,58),(20,59),(21,57),(22,11),(22,55),(22,56),(23,48),(24,4),(24,54),(25,2),(25,51),(26,3),(26,50),(27,23),(27,60),(28,23),(28,61),(29,25),(29,60),(30,26),(30,61),(31,12),(31,29),(31,49),(32,13),(32,30),(32,49),(33,17),(33,59),(34,24),(34,58),(35,17),(35,52),(36,24),(36,52),(37,18),(38,27),(38,29),(39,28),(39,30),(40,27),(40,28),(40,49),(41,15),(41,22),(41,51),(42,16),(42,22),(42,50),(43,19),(43,34),(44,20),(44,33),(45,14),(45,46),(45,47),(46,31),(46,38),(46,40),(47,32),(47,39),(47,40),(48,62),(48,63),(49,41),(49,42),(49,60),(49,61),(50,44),(50,56),(50,63),(51,43),(51,55),(51,62),(52,53),(52,54),(53,57),(54,37),(54,57),(55,34),(55,36),(55,64),(56,33),(56,35),(56,64),(57,18),(58,21),(58,54),(59,21),(59,53),(60,16),(60,48),(60,51),(61,15),(61,48),(61,50),(62,19),(62,64),(63,20),(63,64),(64,52),(64,58),(64,59)],65)
[[3,5,6],[5]]=>([(0,1),(0,2),(1,6),(1,8),(2,5),(2,9),(3,64),(4,51),(5,42),(6,48),(7,18),(7,65),(8,19),(8,48),(9,15),(9,16),(9,42),(10,54),(10,69),(11,56),(11,57),(12,55),(12,71),(13,36),(13,70),(14,35),(14,52),(15,22),(15,68),(15,73),(16,72),(16,73),(17,37),(17,53),(18,34),(18,67),(19,21),(19,66),(19,72),(20,47),(20,62),(21,43),(21,60),(22,20),(22,58),(22,74),(23,79),(24,77),(24,78),(25,100),(26,91),(27,83),(27,95),(28,83),(28,89),(29,92),(29,101),(30,84),(31,90),(32,86),(32,93),(33,17),(33,86),(33,101),(34,97),(35,3),(35,78),(36,88),(37,80),(38,28),(38,81),(38,82),(39,30),(39,99),(40,31),(40,100),(41,35),(42,7),(42,68),(43,41),(44,55),(44,94),(45,27),(45,79),(46,27),(46,77),(46,82),(47,59),(48,4),(48,66),(49,36),(49,89),(50,26),(50,87),(51,14),(51,41),(52,39),(52,78),(53,26),(53,80),(54,23),(54,98),(55,25),(55,85),(56,12),(56,44),(56,81),(57,13),(57,49),(57,81),(58,47),(58,76),(59,28),(59,49),(60,34),(60,63),(61,45),(61,46),(61,98),(62,23),(62,45),(63,24),(63,46),(63,97),(64,25),(64,40),(65,11),(65,67),(65,76),(66,43),(66,51),(67,38),(67,56),(67,97),(68,58),(68,65),(69,24),(69,52),(69,98),(70,29),(70,33),(70,88),(71,32),(71,33),(71,85),(72,60),(72,75),(73,10),(73,74),(73,75),(74,54),(74,61),(74,62),(75,61),(75,63),(75,69),(76,38),(76,57),(76,59),(77,95),(77,99),(78,64),(78,99),(79,30),(79,95),(80,91),(81,70),(81,71),(81,89),(81,94),(82,83),(82,94),(83,96),(84,31),(85,93),(85,100),(85,101),(86,37),(86,102),(87,91),(88,86),(88,92),(89,32),(89,88),(89,96),(90,87),(92,102),(93,90),(93,102),(94,29),(94,85),(94,96),(95,84),(96,92),(96,93),(97,44),(97,82),(98,39),(98,77),(98,79),(99,40),(99,84),(100,50),(100,90),(101,50),(101,53),(101,102),(102,80),(102,87)],103)
[[3,5,6],[6]]=>([(0,2),(0,3),(1,8),(1,20),(2,1),(3,6),(3,7),(4,85),(5,84),(6,21),(6,86),(7,9),(7,86),(8,10),(8,83),(9,12),(9,90),(10,11),(10,89),(11,69),(12,70),(13,52),(13,78),(14,31),(14,68),(15,55),(15,76),(16,45),(16,82),(17,44),(17,81),(18,54),(18,56),(19,53),(19,74),(20,75),(20,83),(21,19),(21,75),(21,87),(22,50),(22,66),(22,67),(23,30),(23,51),(23,80),(24,114),(25,113),(26,22),(26,126),(26,127),(27,14),(27,124),(28,99),(28,121),(29,106),(29,123),(30,13),(30,102),(30,123),(31,98),(32,116),(33,92),(34,94),(35,117),(35,125),(36,91),(37,95),(38,119),(38,126),(39,118),(39,127),(40,105),(40,115),(41,92),(41,99),(42,112),(43,104),(44,4),(44,101),(45,5),(45,103),(46,31),(46,120),(47,46),(47,91),(48,28),(48,94),(49,27),(49,95),(50,27),(50,93),(51,79),(51,123),(52,77),(53,71),(54,23),(54,57),(54,96),(55,17),(55,62),(55,97),(56,16),(56,61),(56,96),(57,30),(57,109),(58,46),(58,100),(59,66),(59,105),(59,125),(60,24),(60,109),(61,45),(61,110),(62,44),(62,108),(63,25),(63,108),(64,25),(64,106),(65,24),(65,110),(66,58),(66,111),(67,28),(67,93),(67,111),(68,32),(68,98),(69,62),(69,63),(70,61),(70,65),(71,29),(71,64),(72,60),(72,65),(72,96),(73,63),(73,64),(73,97),(74,57),(74,60),(75,53),(75,88),(76,29),(76,51),(76,97),(77,33),(77,41),(78,34),(78,48),(79,35),(79,59),(79,107),(80,26),(80,39),(80,102),(81,40),(81,59),(81,101),(82,26),(82,38),(82,103),(83,15),(83,88),(83,89),(84,37),(84,49),(85,36),(85,47),(86,18),(86,87),(86,90),(87,54),(87,72),(87,74),(88,71),(88,73),(88,76),(89,55),(89,69),(89,73),(90,56),(90,70),(90,72),(91,42),(91,120),(92,42),(92,122),(93,121),(93,124),(94,43),(94,121),(95,43),(95,124),(96,80),(96,82),(96,109),(96,110),(97,79),(97,81),(97,106),(97,108),(98,116),(99,122),(100,120),(100,122),(101,85),(101,115),(101,125),(102,78),(102,118),(102,126),(103,84),(103,119),(103,127),(104,32),(105,41),(105,111),(105,129),(106,40),(106,107),(106,113),(107,77),(107,105),(107,117),(108,35),(108,101),(108,113),(109,38),(109,102),(109,114),(110,39),(110,103),(110,114),(111,99),(111,100),(112,116),(113,115),(113,117),(114,118),(114,119),(115,36),(115,129),(117,33),(117,129),(118,34),(118,128),(119,37),(119,128),(120,98),(120,112),(121,104),(122,112),(123,52),(123,107),(124,68),(124,104),(125,47),(125,58),(125,129),(126,48),(126,67),(126,128),(127,49),(127,50),(127,128),(128,93),(128,94),(128,95),(129,91),(129,92),(129,100)],130)
[[3,6,6],[5]]=>([(0,1),(0,2),(1,7),(1,9),(2,6),(2,10),(3,70),(4,69),(5,55),(6,45),(7,50),(8,18),(8,71),(9,20),(9,50),(10,16),(10,19),(10,45),(11,57),(11,77),(12,56),(12,74),(13,61),(13,62),(14,39),(14,76),(15,40),(15,58),(16,78),(16,79),(17,59),(17,60),(18,38),(18,72),(19,22),(19,75),(19,79),(20,21),(20,73),(20,78),(21,46),(21,65),(22,23),(22,64),(22,81),(23,48),(23,63),(24,95),(24,101),(25,94),(25,95),(26,99),(27,100),(28,105),(29,86),(30,84),(30,85),(31,90),(32,93),(33,103),(33,109),(34,102),(34,110),(35,88),(36,98),(37,17),(37,109),(37,110),(38,106),(39,4),(39,91),(40,3),(40,85),(41,57),(41,97),(42,31),(42,108),(43,39),(43,94),(44,40),(45,8),(45,75),(46,44),(47,32),(47,105),(48,68),(49,26),(49,96),(50,5),(50,73),(51,27),(51,88),(52,24),(52,86),(53,25),(53,83),(53,87),(54,24),(54,83),(54,84),(55,15),(55,44),(56,29),(56,107),(57,28),(57,92),(58,42),(58,85),(59,27),(59,89),(60,26),(60,89),(61,14),(61,43),(61,87),(62,11),(62,41),(62,87),(63,29),(63,52),(64,48),(64,82),(65,38),(65,67),(66,52),(66,54),(66,107),(67,30),(67,54),(67,106),(68,25),(68,43),(69,35),(69,51),(70,28),(70,47),(71,13),(71,72),(71,82),(72,53),(72,62),(72,106),(73,46),(73,55),(74,30),(74,58),(74,107),(75,64),(75,71),(76,33),(76,37),(76,91),(77,34),(77,37),(77,92),(78,65),(78,80),(79,12),(79,80),(79,81),(80,66),(80,67),(80,74),(81,56),(81,63),(81,66),(82,53),(82,61),(82,68),(83,95),(83,97),(84,101),(84,108),(85,70),(85,108),(86,31),(86,101),(87,76),(87,77),(87,94),(87,97),(88,36),(88,100),(89,99),(89,100),(90,32),(91,69),(91,103),(91,110),(92,102),(92,105),(92,109),(93,96),(94,34),(94,91),(94,104),(95,104),(96,36),(96,99),(97,33),(97,92),(97,104),(99,98),(100,98),(101,90),(102,93),(102,111),(103,35),(103,111),(104,102),(104,103),(105,49),(105,93),(106,41),(106,83),(107,42),(107,84),(107,86),(108,47),(108,90),(109,49),(109,60),(109,111),(110,51),(110,59),(110,111),(111,88),(111,89),(111,96)],112)
[[3,6,6],[6]]=>([(0,1),(0,2),(1,8),(1,10),(2,7),(2,11),(3,73),(4,55),(5,72),(6,58),(7,46),(8,54),(9,20),(9,74),(10,21),(10,54),(11,17),(11,18),(11,46),(12,62),(12,78),(13,64),(13,65),(14,63),(14,80),(15,42),(15,79),(16,60),(16,61),(17,24),(17,77),(17,82),(18,81),(18,82),(19,41),(19,59),(20,40),(20,76),(21,23),(21,75),(21,81),(22,53),(22,70),(23,48),(23,68),(24,22),(24,66),(24,83),(25,105),(26,111),(27,87),(27,88),(28,86),(29,4),(29,109),(30,94),(30,104),(31,94),(31,100),(33,90),(34,101),(34,112),(35,102),(35,113),(36,99),(37,93),(38,95),(39,16),(39,112),(39,113),(40,107),(41,3),(41,88),(42,5),(42,97),(43,31),(43,91),(43,92),(44,36),(44,111),(45,41),(46,9),(46,77),(47,37),(47,110),(48,45),(49,29),(49,90),(50,63),(50,103),(51,30),(51,87),(51,92),(52,30),(52,86),(53,67),(54,6),(54,75),(55,32),(56,42),(56,100),(57,25),(57,98),(58,19),(58,45),(59,47),(59,88),(60,29),(60,89),(61,25),(61,89),(62,28),(62,108),(63,26),(63,96),(64,14),(64,50),(64,91),(65,15),(65,56),(65,91),(66,53),(66,85),(67,31),(67,56),(68,40),(68,71),(69,51),(69,52),(69,108),(70,28),(70,52),(71,27),(71,51),(71,107),(72,33),(72,49),(73,26),(73,44),(74,13),(74,76),(74,85),(75,48),(75,58),(76,43),(76,64),(76,107),(77,66),(77,74),(78,27),(78,59),(78,108),(79,35),(79,39),(79,97),(80,34),(80,39),(80,96),(81,68),(81,84),(82,12),(82,83),(82,84),(83,62),(83,69),(83,70),(84,69),(84,71),(84,78),(85,43),(85,65),(85,67),(86,37),(86,104),(87,104),(87,110),(88,73),(88,110),(89,105),(89,109),(90,38),(90,109),(91,79),(91,80),(91,100),(91,103),(92,94),(92,103),(93,36),(94,106),(95,32),(96,101),(96,111),(96,113),(97,72),(97,102),(97,112),(98,38),(98,105),(99,98),(100,34),(100,97),(100,106),(101,99),(101,114),(102,33),(102,114),(103,35),(103,96),(103,106),(104,93),(105,95),(106,101),(106,102),(107,50),(107,92),(108,47),(108,86),(108,87),(109,55),(109,95),(110,44),(110,93),(111,57),(111,99),(112,49),(112,60),(112,114),(113,57),(113,61),(113,114),(114,89),(114,90),(114,98)],115)
[[4,4,4],[6]]=>([(0,1),(1,4),(1,5),(2,37),(3,23),(4,6),(4,38),(5,7),(5,38),(6,8),(6,39),(7,9),(7,40),(8,32),(9,33),(10,19),(10,31),(11,20),(11,35),(12,22),(12,36),(13,28),(13,29),(14,49),(14,53),(15,47),(15,48),(16,10),(16,47),(16,49),(17,46),(18,44),(19,45),(20,42),(21,3),(21,52),(22,2),(22,43),(24,18),(24,50),(25,18),(25,51),(26,20),(26,51),(27,22),(27,50),(28,11),(28,26),(28,41),(29,12),(29,27),(29,41),(30,21),(30,46),(31,21),(31,45),(32,25),(32,26),(33,24),(33,27),(34,24),(34,25),(34,41),(35,15),(35,16),(35,42),(36,14),(36,16),(36,43),(37,17),(37,30),(38,13),(38,39),(38,40),(39,28),(39,32),(39,34),(40,29),(40,33),(40,34),(41,35),(41,36),(41,50),(41,51),(42,48),(42,49),(43,37),(43,47),(43,53),(44,48),(44,53),(45,52),(46,52),(47,30),(47,31),(47,54),(48,54),(49,19),(49,54),(50,15),(50,43),(50,44),(51,14),(51,42),(51,44),(52,23),(53,17),(53,54),(54,45),(54,46)],55)
[[4,4,5],[6]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,7),(5,45),(6,8),(6,45),(7,9),(7,46),(8,10),(8,47),(9,38),(10,39),(11,35),(11,36),(12,25),(12,41),(13,26),(13,42),(14,31),(14,32),(15,56),(15,62),(16,55),(16,63),(17,53),(19,58),(20,59),(21,57),(22,11),(22,55),(22,56),(23,48),(24,4),(24,54),(25,2),(25,51),(26,3),(26,50),(27,23),(27,60),(28,23),(28,61),(29,25),(29,60),(30,26),(30,61),(31,12),(31,29),(31,49),(32,13),(32,30),(32,49),(33,17),(33,59),(34,24),(34,58),(35,17),(35,52),(36,24),(36,52),(37,18),(38,27),(38,29),(39,28),(39,30),(40,27),(40,28),(40,49),(41,15),(41,22),(41,51),(42,16),(42,22),(42,50),(43,19),(43,34),(44,20),(44,33),(45,14),(45,46),(45,47),(46,31),(46,38),(46,40),(47,32),(47,39),(47,40),(48,62),(48,63),(49,41),(49,42),(49,60),(49,61),(50,44),(50,56),(50,63),(51,43),(51,55),(51,62),(52,53),(52,54),(53,57),(54,37),(54,57),(55,34),(55,36),(55,64),(56,33),(56,35),(56,64),(57,18),(58,21),(58,54),(59,21),(59,53),(60,16),(60,48),(60,51),(61,15),(61,48),(61,50),(62,19),(62,64),(63,20),(63,64),(64,52),(64,58),(64,59)],65)
[[4,4,6],[5]]=>([(0,2),(0,3),(1,8),(1,18),(2,1),(3,6),(3,7),(4,63),(5,52),(6,19),(6,65),(7,10),(7,65),(8,9),(8,64),(9,11),(9,68),(10,53),(11,55),(12,45),(12,59),(13,49),(13,50),(14,41),(14,42),(15,26),(15,62),(16,35),(16,44),(17,43),(17,57),(18,58),(18,64),(19,17),(19,58),(19,66),(20,24),(20,39),(20,40),(21,80),(22,69),(23,13),(23,88),(24,14),(24,85),(24,86),(25,77),(25,86),(26,74),(27,70),(28,70),(28,87),(30,88),(31,79),(31,82),(32,73),(33,72),(33,83),(34,5),(34,87),(35,4),(35,84),(36,24),(36,69),(37,34),(38,22),(38,84),(39,61),(39,86),(40,23),(40,85),(41,60),(42,37),(43,54),(44,20),(44,36),(44,84),(45,15),(45,46),(45,71),(46,26),(46,76),(47,21),(47,77),(48,21),(48,76),(49,32),(49,75),(50,34),(50,75),(51,49),(51,72),(51,79),(52,29),(53,35),(53,38),(54,25),(54,47),(55,46),(55,48),(56,47),(56,48),(56,71),(57,22),(57,36),(58,43),(58,67),(59,25),(59,39),(59,71),(60,27),(60,28),(61,33),(61,51),(61,78),(62,31),(62,51),(62,74),(63,23),(63,30),(64,12),(64,67),(64,68),(65,16),(65,53),(65,66),(66,38),(66,44),(66,57),(67,54),(67,56),(67,59),(68,45),(68,55),(68,56),(69,30),(69,85),(70,81),(71,61),(71,62),(71,76),(71,77),(72,32),(72,89),(73,81),(74,72),(74,82),(75,73),(75,87),(76,33),(76,74),(76,80),(77,31),(77,78),(77,80),(78,60),(78,79),(78,83),(79,28),(79,75),(79,89),(80,82),(80,83),(81,29),(82,89),(83,27),(83,89),(84,40),(84,63),(84,69),(85,42),(85,88),(86,41),(86,78),(87,52),(87,81),(88,37),(88,50),(89,70),(89,73)],90)
[[4,4,6],[6]]=>([(0,2),(0,3),(1,9),(1,19),(2,1),(3,7),(3,8),(4,71),(5,69),(6,58),(7,20),(7,72),(8,11),(8,72),(9,10),(9,70),(10,12),(10,75),(11,59),(12,61),(13,50),(13,65),(14,56),(14,57),(15,46),(15,47),(16,38),(16,68),(17,37),(17,49),(18,48),(18,63),(19,64),(19,70),(20,18),(20,64),(20,73),(21,26),(21,44),(21,45),(22,89),(23,76),(24,88),(25,14),(25,97),(26,15),(26,93),(26,94),(27,84),(27,94),(29,78),(30,78),(30,96),(31,77),(32,91),(32,98),(33,97),(34,87),(34,90),(35,81),(36,6),(36,96),(37,5),(37,92),(38,4),(38,80),(39,26),(39,76),(40,22),(40,77),(41,36),(42,23),(42,92),(43,28),(44,67),(44,94),(45,25),(45,93),(46,66),(47,41),(48,60),(49,21),(49,39),(49,92),(50,16),(50,53),(50,79),(51,56),(51,87),(51,98),(52,22),(52,82),(53,38),(53,86),(54,24),(54,84),(55,24),(55,86),(56,52),(56,83),(57,36),(57,83),(58,43),(59,37),(59,42),(60,27),(60,54),(61,53),(61,55),(62,54),(62,55),(62,79),(63,23),(63,39),(64,48),(64,74),(65,27),(65,44),(65,79),(66,29),(66,30),(67,32),(67,51),(67,85),(68,34),(68,51),(68,80),(69,25),(69,33),(70,13),(70,74),(70,75),(71,31),(71,40),(72,17),(72,59),(72,73),(73,42),(73,49),(73,63),(74,60),(74,62),(74,65),(75,50),(75,61),(75,62),(76,33),(76,93),(77,35),(77,89),(78,35),(78,95),(79,67),(79,68),(79,84),(79,86),(80,71),(80,90),(80,98),(81,28),(82,89),(82,95),(83,82),(83,96),(84,34),(84,85),(84,88),(85,66),(85,87),(85,91),(86,32),(86,80),(86,88),(87,30),(87,83),(87,99),(88,90),(88,91),(89,81),(90,31),(90,99),(91,29),(91,99),(92,45),(92,69),(92,76),(93,47),(93,97),(94,46),(94,85),(95,43),(95,81),(96,58),(96,95),(97,41),(97,57),(98,40),(98,52),(98,99),(99,77),(99,78),(99,82)],100)
[[4,5,5],[6]]=>([(0,1),(1,6),(1,7),(2,48),(3,47),(4,40),(5,41),(6,8),(6,49),(7,9),(7,49),(8,10),(8,50),(9,11),(9,51),(10,42),(11,43),(12,36),(12,37),(13,26),(13,45),(14,27),(14,46),(15,38),(15,39),(17,60),(18,12),(18,66),(18,67),(19,61),(19,67),(20,62),(20,66),(21,53),(22,54),(23,65),(24,4),(24,63),(25,5),(25,64),(26,3),(26,56),(27,2),(27,57),(28,16),(29,16),(30,26),(30,58),(31,27),(31,59),(32,17),(32,58),(33,17),(33,59),(34,24),(34,53),(35,25),(35,54),(36,24),(36,55),(37,25),(37,55),(38,13),(38,30),(38,52),(39,14),(39,31),(39,52),(40,28),(41,29),(42,30),(42,32),(43,31),(43,33),(44,32),(44,33),(44,52),(45,18),(45,19),(45,56),(46,18),(46,20),(46,57),(47,21),(47,34),(48,22),(48,35),(49,15),(49,50),(49,51),(50,38),(50,42),(50,44),(51,39),(51,43),(51,44),(52,45),(52,46),(52,58),(52,59),(53,23),(53,63),(54,23),(54,64),(55,63),(55,64),(56,47),(56,61),(56,66),(57,48),(57,62),(57,67),(58,20),(58,56),(58,60),(59,19),(59,57),(59,60),(60,61),(60,62),(61,21),(61,68),(62,22),(62,68),(63,40),(63,65),(64,41),(64,65),(65,28),(65,29),(66,34),(66,36),(66,68),(67,35),(67,37),(67,68),(68,53),(68,54),(68,55)],69)
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[[5,5,5],[6]]=>([(0,2),(2,7),(2,8),(3,49),(4,48),(5,41),(6,42),(7,9),(7,50),(8,10),(8,50),(9,11),(9,51),(10,12),(10,52),(11,43),(12,44),(13,37),(13,38),(14,27),(14,46),(15,28),(15,47),(16,39),(16,40),(17,61),(18,13),(18,67),(18,68),(19,1),(20,62),(20,68),(21,63),(21,67),(22,54),(23,55),(24,66),(25,5),(25,64),(26,6),(26,65),(27,4),(27,57),(28,3),(28,58),(29,19),(30,19),(31,27),(31,59),(32,28),(32,60),(33,17),(33,59),(34,17),(34,60),(35,25),(35,54),(36,26),(36,55),(37,25),(37,56),(38,26),(38,56),(39,14),(39,31),(39,53),(40,15),(40,32),(40,53),(41,29),(42,30),(43,31),(43,33),(44,32),(44,34),(45,33),(45,34),(45,53),(46,18),(46,20),(46,57),(47,18),(47,21),(47,58),(48,22),(48,35),(49,23),(49,36),(50,16),(50,51),(50,52),(51,39),(51,43),(51,45),(52,40),(52,44),(52,45),(53,46),(53,47),(53,59),(53,60),(54,24),(54,64),(55,24),(55,65),(56,64),(56,65),(57,48),(57,62),(57,67),(58,49),(58,63),(58,68),(59,21),(59,57),(59,61),(60,20),(60,58),(60,61),(61,62),(61,63),(62,22),(62,69),(63,23),(63,69),(64,41),(64,66),(65,42),(65,66),(66,29),(66,30),(67,35),(67,37),(67,69),(68,36),(68,38),(68,69),(69,54),(69,55),(69,56)],70)
[[5,5,6],[6]]=>([(0,2),(0,3),(1,9),(1,22),(2,1),(3,7),(3,8),(4,94),(5,93),(6,49),(7,23),(7,95),(8,10),(8,95),(9,11),(9,92),(10,13),(10,99),(11,12),(11,98),(12,78),(13,79),(14,61),(14,87),(15,59),(15,60),(16,33),(16,77),(17,64),(17,85),(18,48),(18,91),(19,47),(19,90),(20,63),(20,65),(21,62),(21,83),(22,84),(22,92),(23,21),(23,84),(23,96),(24,57),(24,75),(24,76),(25,32),(25,58),(25,89),(26,122),(27,121),(28,24),(28,136),(28,137),(29,16),(29,130),(30,15),(30,131),(30,132),(31,115),(31,129),(32,14),(32,112),(32,129),(33,107),(34,101),(35,101),(35,132),(36,104),(37,124),(37,135),(38,100),(39,103),(40,126),(40,136),(41,125),(41,137),(42,111),(43,117),(43,123),(44,134),(45,108),(46,6),(46,111),(47,4),(47,110),(48,5),(48,113),(50,33),(50,128),(51,42),(52,46),(53,46),(53,127),(54,50),(54,100),(55,30),(55,104),(56,29),(56,103),(57,29),(57,102),(58,88),(58,129),(59,51),(60,52),(61,86),(62,81),(63,25),(63,66),(63,105),(64,19),(64,71),(64,106),(65,18),(65,70),(65,105),(66,32),(66,120),(67,50),(67,109),(68,75),(68,117),(68,135),(69,27),(69,120),(70,48),(70,119),(71,47),(71,118),(72,27),(72,119),(73,26),(73,115),(74,26),(74,118),(75,67),(75,114),(76,30),(76,102),(76,114),(77,53),(77,107),(78,71),(78,74),(79,70),(79,72),(80,69),(80,72),(80,105),(81,31),(81,73),(82,73),(82,74),(82,106),(83,66),(83,69),(84,62),(84,97),(85,31),(85,58),(85,106),(86,34),(86,35),(87,36),(87,55),(88,37),(88,68),(88,116),(89,28),(89,41),(89,112),(90,43),(90,68),(90,110),(91,28),(91,40),(91,113),(92,17),(92,97),(92,98),(93,39),(93,56),(94,38),(94,54),(95,20),(95,96),(95,99),(96,63),(96,80),(96,83),(97,81),(97,82),(97,85),(98,64),(98,78),(98,82),(99,65),(99,79),(99,80),(100,45),(100,128),(101,45),(101,133),(102,130),(102,131),(103,44),(103,130),(104,44),(104,131),(105,89),(105,91),(105,119),(105,120),(106,88),(106,90),(106,115),(106,118),(107,127),(108,42),(108,127),(109,128),(109,133),(110,94),(110,123),(110,135),(111,49),(112,87),(112,125),(112,136),(113,93),(113,126),(113,137),(114,109),(114,132),(115,43),(115,116),(115,122),(116,86),(116,117),(116,124),(117,35),(117,114),(117,139),(118,37),(118,110),(118,122),(119,41),(119,113),(119,121),(120,40),(120,112),(120,121),(121,125),(121,126),(122,123),(122,124),(123,38),(123,139),(124,34),(124,139),(125,36),(125,138),(126,39),(126,138),(127,111),(128,107),(128,108),(129,61),(129,116),(130,77),(130,134),(131,60),(131,134),(132,59),(132,133),(133,51),(133,108),(134,52),(134,53),(135,54),(135,67),(135,139),(136,55),(136,76),(136,138),(137,56),(137,57),(137,138),(138,102),(138,103),(138,104),(139,100),(139,101),(139,109)],140)
[[5,6,6],[6]]=>([(0,1),(0,2),(1,11),(1,13),(2,10),(2,14),(3,89),(4,88),(5,9),(5,145),(6,124),(7,125),(8,126),(9,114),(10,78),(11,5),(11,129),(12,21),(12,128),(13,23),(13,129),(14,22),(14,29),(14,78),(15,134),(15,135),(16,66),(16,108),(17,105),(17,133),(18,106),(18,109),(19,110),(19,131),(20,111),(20,112),(21,65),(21,130),(22,140),(22,141),(23,32),(23,140),(23,146),(24,107),(24,139),(25,103),(25,104),(26,69),(26,136),(27,67),(27,138),(28,68),(28,137),(29,30),(29,132),(29,141),(30,31),(30,119),(30,143),(31,84),(31,113),(32,116),(32,118),(33,86),(33,101),(33,102),(34,64),(34,87),(34,127),(35,181),(37,198),(38,192),(39,33),(39,205),(39,206),(40,4),(40,197),(41,3),(41,195),(42,162),(42,179),(43,147),(43,164),(44,162),(44,175),(45,197),(46,153),(47,187),(47,206),(48,151),(49,150),(50,154),(51,188),(51,205),(52,185),(52,202),(53,184),(53,204),(54,186),(54,203),(55,171),(55,183),(56,148),(56,172),(57,148),(57,160),(58,201),(59,200),(60,170),(61,25),(61,203),(61,204),(62,16),(62,193),(63,17),(63,160),(63,194),(64,15),(64,147),(64,159),(65,196),(66,163),(67,8),(67,169),(68,6),(68,166),(69,7),(69,168),(70,40),(71,66),(71,190),(72,63),(72,153),(73,77),(74,40),(74,178),(75,44),(75,155),(75,156),(76,62),(76,154),(77,36),(78,12),(78,132),(79,38),(79,182),(80,41),(80,151),(81,71),(81,150),(82,77),(83,107),(83,189),(84,115),(85,45),(85,192),(86,62),(86,152),(87,123),(87,147),(88,36),(89,73),(90,101),(90,171),(90,202),(91,71),(91,161),(92,79),(92,165),(93,64),(93,173),(94,68),(94,174),(95,67),(95,175),(96,69),(96,176),(97,42),(97,176),(98,42),(98,156),(98,164),(99,35),(99,174),(100,35),(100,173),(101,91),(101,177),(102,63),(102,152),(102,177),(103,79),(103,149),(104,41),(104,149),(105,70),(106,34),(106,93),(106,158),(107,37),(107,167),(108,74),(108,163),(109,28),(109,94),(109,158),(110,26),(110,96),(110,157),(111,27),(111,95),(111,155),(112,24),(112,83),(112,155),(113,96),(113,97),(114,94),(114,99),(115,44),(115,95),(116,93),(116,100),(117,99),(117,100),(117,158),(118,65),(118,121),(119,84),(119,144),(120,97),(120,98),(120,157),(121,43),(121,98),(121,196),(122,56),(122,57),(122,198),(123,52),(123,90),(123,180),(124,50),(124,76),(125,49),(125,81),(126,48),(126,80),(127,39),(127,47),(127,159),(128,20),(128,130),(128,144),(129,18),(129,145),(129,146),(130,75),(130,112),(130,196),(131,43),(131,87),(131,157),(132,119),(132,128),(133,38),(133,85),(134,37),(134,122),(135,46),(135,72),(136,55),(136,90),(136,168),(137,39),(137,51),(137,166),(138,54),(138,61),(138,169),(139,53),(139,61),(139,167),(140,118),(140,142),(141,19),(141,142),(141,143),(142,120),(142,121),(142,131),(143,110),(143,113),(143,120),(144,75),(144,111),(144,115),(145,109),(145,114),(145,117),(146,106),(146,116),(146,117),(147,134),(147,180),(148,60),(148,199),(149,182),(149,195),(150,60),(150,190),(151,59),(151,195),(152,193),(152,194),(153,58),(153,194),(154,58),(154,193),(155,138),(155,139),(155,175),(155,189),(156,162),(156,189),(157,123),(157,136),(157,164),(157,176),(158,127),(158,137),(158,173),(158,174),(159,135),(159,187),(159,205),(160,133),(160,199),(161,190),(161,199),(162,191),(163,178),(164,55),(164,179),(164,180),(165,59),(165,182),(166,124),(166,188),(166,206),(167,184),(167,198),(167,203),(168,125),(168,183),(168,202),(169,126),(169,186),(169,204),(170,45),(170,178),(171,57),(171,177),(171,209),(172,165),(173,51),(173,159),(173,181),(174,47),(174,166),(174,181),(175,53),(175,169),(175,191),(176,52),(176,168),(176,179),(177,160),(177,161),(178,197),(179,183),(179,185),(180,122),(180,171),(180,185),(181,187),(181,188),(182,192),(182,200),(183,49),(183,209),(184,172),(184,208),(185,56),(185,209),(186,48),(186,208),(187,46),(187,207),(188,50),(188,207),(189,54),(189,167),(189,191),(190,163),(190,170),(191,184),(191,186),(192,82),(193,108),(193,201),(194,105),(194,201),(195,89),(195,200),(196,83),(196,156),(197,88),(198,92),(198,172),(199,85),(199,170),(200,73),(200,82),(201,70),(201,74),(202,81),(202,91),(202,209),(203,92),(203,103),(203,208),(204,80),(204,104),(204,208),(205,72),(205,102),(205,207),(206,76),(206,86),(206,207),(207,152),(207,153),(207,154),(208,149),(208,151),(208,165),(209,148),(209,150),(209,161)],210)
[[1,1],[2,6]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1],[3,6]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1],[4,6]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1],[5,6]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1],[6,6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,2],[2,6]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2],[3,6]]=>([(0,1),(1,2),(1,3),(1,6),(2,5),(2,13),(3,11),(4,10),(5,4),(5,12),(6,11),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,8),(13,12)],14)
[[1,3],[2,6]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2],[4,6]]=>([(0,1),(1,2),(1,3),(1,7),(2,13),(3,4),(3,16),(4,5),(4,17),(5,14),(6,10),(6,12),(7,13),(7,16),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,15),(14,8),(14,9),(15,10),(15,11),(16,6),(16,15),(16,17),(17,11),(17,12),(17,14),(18,19)],20)
[[1,4],[2,6]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2],[5,6]]=>([(0,1),(1,2),(1,3),(1,8),(2,16),(3,4),(3,19),(4,5),(4,20),(5,17),(6,9),(6,11),(7,10),(7,14),(8,16),(8,19),(9,22),(10,23),(11,22),(12,21),(13,12),(13,23),(14,6),(14,15),(14,23),(15,9),(15,21),(16,18),(17,12),(17,15),(18,10),(18,13),(19,7),(19,18),(19,20),(20,13),(20,14),(20,17),(21,22),(23,11),(23,21)],24)
[[1,5],[2,6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,2],[6,6]]=>([(0,1),(1,3),(1,4),(1,9),(2,14),(3,18),(4,5),(4,21),(5,6),(5,22),(6,19),(7,12),(7,13),(8,11),(8,17),(9,18),(9,21),(10,23),(11,25),(12,24),(13,2),(13,24),(15,13),(15,23),(16,10),(16,25),(17,7),(17,15),(17,25),(18,20),(19,10),(19,15),(20,11),(20,16),(21,8),(21,20),(21,22),(22,16),(22,17),(22,19),(23,24),(24,14),(25,12),(25,23)],26)
[[1,3],[3,6]]=>([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,12),(6,3),(6,11),(7,1),(7,4),(8,6),(8,12),(9,14),(10,13),(11,9),(11,13),(12,10),(12,11),(13,14)],15)
[[1,3],[4,6]]=>([(0,2),(1,4),(2,7),(2,8),(2,9),(3,21),(4,14),(5,3),(5,23),(6,17),(6,18),(7,19),(7,22),(8,13),(8,19),(9,5),(9,13),(9,22),(10,24),(11,24),(13,1),(14,15),(15,12),(16,11),(16,25),(17,14),(17,25),(18,10),(18,25),(19,20),(20,16),(20,17),(21,10),(21,11),(22,6),(22,20),(22,23),(23,16),(23,18),(23,21),(24,12),(25,15),(25,24)],26)
[[1,4],[3,6]]=>([(0,1),(1,3),(1,4),(2,6),(2,17),(3,13),(4,5),(4,13),(5,7),(5,14),(6,15),(7,12),(8,10),(8,11),(9,18),(10,18),(11,18),(12,16),(13,2),(13,14),(14,12),(14,17),(15,9),(15,10),(16,9),(16,11),(17,8),(17,15),(17,16)],19)
[[1,3],[5,6]]=>([(0,2),(1,4),(2,8),(2,9),(2,10),(3,25),(4,17),(5,3),(5,27),(6,19),(6,21),(7,14),(7,20),(8,22),(8,26),(9,15),(9,22),(10,5),(10,15),(10,26),(11,28),(12,29),(13,29),(14,30),(15,1),(16,14),(16,28),(17,24),(18,11),(18,31),(19,17),(19,31),(20,12),(20,30),(21,7),(21,16),(21,31),(22,23),(23,18),(23,19),(24,12),(24,13),(25,11),(25,16),(26,6),(26,23),(26,27),(27,18),(27,21),(27,25),(28,13),(28,30),(30,29),(31,20),(31,24),(31,28)],32)
[[1,5],[3,6]]=>([(0,1),(1,4),(1,5),(2,7),(2,19),(3,13),(4,15),(5,6),(5,15),(6,8),(6,17),(7,16),(8,14),(9,11),(9,12),(10,20),(11,20),(12,3),(12,20),(14,18),(15,2),(15,17),(16,10),(16,11),(17,14),(17,19),(18,10),(18,12),(19,9),(19,16),(19,18),(20,13)],21)
[[1,3],[6,6]]=>([(0,2),(1,5),(2,9),(2,10),(2,11),(3,20),(4,28),(5,18),(6,4),(6,30),(7,22),(7,24),(8,16),(8,23),(9,25),(9,29),(10,17),(10,25),(11,6),(11,17),(11,29),(12,31),(13,32),(15,31),(16,3),(16,34),(17,1),(18,27),(19,13),(19,33),(20,14),(21,16),(21,32),(22,18),(22,33),(23,12),(23,34),(24,8),(24,21),(24,33),(25,26),(26,19),(26,22),(27,12),(27,15),(28,13),(28,21),(29,7),(29,26),(29,30),(30,19),(30,24),(30,28),(31,14),(32,15),(32,34),(33,23),(33,27),(33,32),(34,20),(34,31)],35)
[[1,4],[4,6]]=>([(0,1),(1,4),(1,5),(2,7),(2,19),(3,13),(4,15),(5,6),(5,15),(6,8),(6,17),(7,16),(8,14),(9,11),(9,12),(10,20),(11,20),(12,3),(12,20),(14,18),(15,2),(15,17),(16,10),(16,12),(17,14),(17,19),(18,10),(18,11),(19,9),(19,16),(19,18),(20,13)],21)
[[1,4],[5,6]]=>([(0,1),(1,9),(1,10),(1,11),(2,14),(3,22),(4,7),(4,21),(5,33),(6,26),(6,28),(7,24),(7,25),(8,17),(8,27),(9,30),(9,34),(10,29),(10,30),(11,12),(11,29),(11,34),(12,5),(12,19),(12,35),(13,36),(14,3),(16,37),(17,38),(18,17),(18,36),(19,21),(20,13),(20,39),(21,2),(21,24),(22,15),(23,22),(23,37),(24,14),(25,32),(26,25),(26,39),(27,23),(27,38),(28,8),(28,18),(28,39),(29,4),(29,19),(30,31),(31,20),(31,26),(32,16),(32,23),(33,13),(33,18),(34,6),(34,31),(34,35),(35,20),(35,28),(35,33),(36,16),(36,38),(37,15),(38,37),(39,27),(39,32),(39,36)],40)
[[1,5],[4,6]]=>([(0,1),(1,5),(1,6),(2,9),(2,22),(3,16),(4,17),(5,18),(6,8),(6,18),(7,15),(8,7),(8,21),(9,20),(10,13),(10,14),(12,23),(13,3),(13,23),(14,4),(14,23),(15,19),(16,11),(17,11),(18,2),(18,21),(19,12),(19,14),(20,12),(20,13),(21,15),(21,22),(22,10),(22,19),(22,20),(23,16),(23,17)],24)
[[1,4],[6,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,17),(3,25),(4,27),(5,8),(5,24),(6,36),(7,30),(7,32),(8,28),(8,29),(9,18),(9,31),(10,34),(10,38),(11,33),(11,34),(12,13),(12,33),(12,38),(13,6),(13,19),(13,39),(15,40),(16,43),(17,3),(18,4),(18,42),(19,24),(20,25),(20,43),(21,18),(21,40),(22,14),(23,14),(24,2),(24,28),(25,22),(26,15),(26,41),(27,23),(28,17),(29,37),(30,29),(30,41),(31,20),(31,42),(32,9),(32,21),(32,41),(33,5),(33,19),(34,35),(35,26),(35,30),(36,15),(36,21),(37,16),(37,20),(38,7),(38,35),(38,39),(39,26),(39,32),(39,36),(40,16),(40,42),(41,31),(41,37),(41,40),(42,27),(42,43),(43,22),(43,23)],44)
[[1,5],[5,6]]=>([(0,2),(2,4),(2,5),(3,9),(3,23),(4,19),(5,10),(5,19),(6,17),(7,18),(8,16),(9,21),(10,8),(10,22),(11,14),(11,15),(12,1),(13,24),(14,6),(14,24),(15,7),(15,24),(16,20),(17,12),(18,12),(19,3),(19,22),(20,13),(20,15),(21,13),(21,14),(22,16),(22,23),(23,11),(23,20),(23,21),(24,17),(24,18)],25)
[[1,5],[6,6]]=>([(0,1),(1,11),(1,12),(1,13),(2,20),(3,32),(4,30),(5,9),(5,46),(6,22),(6,37),(7,36),(7,38),(8,33),(8,35),(9,34),(9,47),(10,21),(10,23),(11,39),(11,48),(12,15),(12,40),(12,48),(13,39),(13,40),(14,29),(14,44),(15,14),(15,41),(15,49),(16,53),(17,50),(18,54),(19,2),(21,4),(21,53),(22,3),(22,52),(23,8),(23,53),(24,20),(25,24),(26,33),(26,54),(27,24),(28,22),(28,50),(29,43),(30,19),(31,17),(31,51),(32,25),(33,27),(34,45),(35,19),(36,34),(36,51),(37,26),(37,52),(38,6),(38,28),(38,51),(39,42),(40,5),(40,41),(41,29),(41,46),(42,31),(42,36),(43,16),(43,21),(44,17),(44,28),(45,18),(45,26),(46,10),(46,43),(46,47),(47,16),(47,23),(48,7),(48,42),(48,49),(49,31),(49,38),(49,44),(50,18),(50,52),(51,37),(51,45),(51,50),(52,32),(52,54),(53,30),(53,35),(54,25),(54,27)],55)
[[2,2],[3,6]]=>([(0,1),(1,3),(1,4),(1,7),(2,12),(3,13),(4,6),(4,17),(5,9),(6,5),(6,14),(7,13),(7,17),(9,10),(10,8),(11,8),(12,11),(13,2),(13,15),(14,9),(14,16),(15,12),(15,16),(16,10),(16,11),(17,14),(17,15)],18)
[[2,2],[4,6]]=>([(0,1),(1,3),(1,4),(1,8),(2,19),(3,6),(3,20),(4,16),(5,18),(6,5),(6,21),(7,12),(7,13),(8,16),(8,20),(9,26),(10,25),(11,24),(12,10),(12,23),(13,11),(13,23),(14,9),(14,25),(15,9),(15,24),(16,2),(16,22),(17,14),(17,15),(17,23),(18,10),(18,14),(19,11),(19,15),(20,7),(20,21),(20,22),(21,12),(21,17),(21,18),(22,13),(22,17),(22,19),(23,24),(23,25),(24,26),(25,26)],27)
[[2,2],[5,6]]=>([(0,1),(1,3),(1,4),(1,9),(2,23),(3,20),(4,5),(4,24),(5,6),(5,26),(6,21),(7,15),(7,16),(8,11),(8,14),(9,20),(9,24),(10,31),(11,29),(12,28),(13,30),(14,13),(14,29),(15,12),(15,32),(16,8),(16,17),(16,32),(17,11),(17,27),(18,10),(18,28),(19,10),(19,27),(20,2),(20,25),(21,17),(21,19),(22,18),(22,19),(22,32),(23,12),(23,18),(24,7),(24,25),(24,26),(25,15),(25,22),(25,23),(26,16),(26,21),(26,22),(27,29),(27,31),(28,13),(28,31),(29,30),(31,30),(32,14),(32,27),(32,28)],33)
[[2,2],[6,6]]=>([(0,1),(1,4),(1,5),(1,10),(2,26),(3,22),(4,23),(5,6),(5,27),(6,7),(6,29),(7,24),(8,17),(8,18),(9,15),(9,16),(10,23),(10,27),(11,33),(12,31),(13,32),(15,3),(15,35),(16,13),(16,35),(17,12),(17,34),(18,9),(18,19),(18,34),(19,15),(19,30),(20,11),(20,31),(21,11),(21,30),(22,14),(23,2),(23,28),(24,19),(24,21),(25,20),(25,21),(25,34),(26,12),(26,20),(27,8),(27,28),(27,29),(28,17),(28,25),(28,26),(29,18),(29,24),(29,25),(30,33),(30,35),(31,13),(31,33),(32,14),(33,32),(34,16),(34,30),(34,31),(35,22),(35,32)],36)
[[2,3],[3,6]]=>([(0,1),(1,5),(1,6),(1,7),(2,26),(3,4),(3,24),(4,12),(4,18),(5,20),(5,27),(6,19),(6,20),(7,9),(7,19),(7,27),(8,13),(8,14),(9,8),(9,21),(9,23),(10,29),(11,29),(12,28),(13,15),(14,16),(15,10),(16,11),(17,10),(17,28),(18,11),(18,28),(19,3),(19,23),(20,2),(20,22),(21,13),(21,25),(22,25),(22,26),(23,14),(23,24),(24,16),(24,18),(25,15),(25,17),(26,12),(26,17),(27,21),(27,22),(28,29)],30)
[[2,3],[4,6]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,29),(4,23),(5,4),(5,28),(6,20),(6,25),(7,22),(7,26),(8,16),(8,22),(9,5),(9,16),(9,26),(10,15),(10,21),(11,34),(12,36),(13,32),(14,30),(14,33),(15,30),(16,1),(17,13),(17,33),(18,13),(18,36),(19,11),(19,35),(20,12),(20,31),(21,19),(21,30),(22,3),(22,27),(23,12),(23,18),(24,17),(24,18),(24,31),(25,14),(25,21),(25,31),(26,6),(26,27),(26,28),(27,24),(27,25),(27,29),(28,20),(28,23),(28,24),(29,14),(29,15),(29,17),(30,35),(31,19),(31,33),(31,36),(32,34),(33,32),(33,35),(35,34),(36,11),(36,32)],37)
[[2,4],[3,6]]=>([(0,1),(1,6),(1,7),(1,8),(2,28),(3,4),(3,29),(4,15),(4,30),(5,14),(5,20),(6,22),(6,31),(7,21),(7,22),(8,9),(8,21),(8,31),(9,10),(9,25),(9,26),(10,16),(10,17),(11,34),(12,33),(12,34),(13,35),(14,33),(15,32),(16,27),(17,18),(18,11),(19,11),(19,32),(20,13),(20,33),(21,3),(21,26),(22,2),(22,24),(23,18),(23,19),(24,23),(24,28),(25,17),(25,23),(26,16),(26,29),(27,12),(27,14),(28,15),(28,19),(29,5),(29,27),(29,30),(30,12),(30,20),(30,32),(31,24),(31,25),(32,13),(32,34),(33,35),(34,35)],36)
[[2,3],[5,6]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,34),(4,26),(5,4),(5,33),(6,18),(6,30),(7,24),(7,29),(8,25),(8,31),(9,19),(9,25),(10,5),(10,19),(10,31),(11,17),(11,23),(12,40),(12,43),(13,40),(13,41),(14,41),(14,42),(15,36),(15,44),(16,38),(17,36),(18,35),(19,1),(20,16),(20,44),(21,16),(21,45),(22,18),(22,45),(23,28),(23,36),(24,6),(24,22),(24,37),(25,3),(25,32),(26,21),(26,22),(27,20),(27,21),(27,37),(28,12),(28,13),(28,39),(29,15),(29,23),(29,37),(30,13),(30,14),(30,35),(31,7),(31,32),(31,33),(32,27),(32,29),(32,34),(33,24),(33,26),(33,27),(34,15),(34,17),(34,20),(35,40),(35,42),(36,39),(37,28),(37,30),(37,44),(37,45),(38,42),(38,43),(39,41),(39,43),(40,46),(41,46),(42,46),(43,46),(44,14),(44,38),(44,39),(45,12),(45,35),(45,38)],47)
[[2,5],[3,6]]=>([(0,1),(1,7),(1,8),(1,9),(2,31),(3,22),(4,6),(4,32),(5,17),(5,23),(6,16),(6,33),(7,25),(7,34),(8,24),(8,25),(9,10),(9,24),(9,34),(10,11),(10,28),(10,29),(11,18),(11,19),(12,37),(13,35),(13,37),(15,38),(16,36),(17,3),(17,35),(18,30),(19,20),(20,12),(21,12),(21,36),(22,14),(23,15),(23,35),(24,4),(24,29),(25,2),(25,27),(26,20),(26,21),(27,26),(27,31),(28,19),(28,26),(29,18),(29,32),(30,13),(30,17),(31,16),(31,21),(32,5),(32,30),(32,33),(33,13),(33,23),(33,36),(34,27),(34,28),(35,22),(35,38),(36,15),(36,37),(37,38),(38,14)],39)
[[2,3],[6,6]]=>([(0,2),(1,12),(2,9),(2,10),(2,11),(3,32),(4,38),(5,29),(6,5),(6,37),(7,21),(7,34),(8,27),(8,33),(9,28),(9,35),(10,22),(10,28),(11,6),(11,22),(11,35),(12,20),(12,26),(13,45),(13,50),(14,46),(14,47),(15,45),(15,47),(16,43),(17,41),(17,48),(18,43),(19,39),(20,41),(21,3),(21,42),(22,1),(23,19),(23,48),(24,19),(24,49),(25,21),(25,49),(26,31),(26,41),(27,7),(27,25),(27,40),(28,4),(28,36),(29,24),(29,25),(30,23),(30,24),(30,40),(31,14),(31,15),(31,44),(32,16),(32,18),(33,17),(33,26),(33,40),(34,13),(34,15),(34,42),(35,8),(35,36),(35,37),(36,30),(36,33),(36,38),(37,27),(37,29),(37,30),(38,17),(38,20),(38,23),(39,46),(39,50),(40,31),(40,34),(40,48),(40,49),(41,44),(42,32),(42,47),(42,50),(44,45),(44,46),(45,51),(46,51),(47,18),(47,51),(48,13),(48,39),(48,44),(49,14),(49,39),(49,42),(50,16),(50,51),(51,43)],52)
[[2,4],[4,6]]=>([(0,1),(1,7),(1,8),(1,9),(2,31),(3,5),(3,32),(4,14),(4,17),(5,16),(5,33),(6,15),(6,23),(7,25),(7,34),(8,24),(8,25),(9,10),(9,24),(9,34),(10,11),(10,28),(10,29),(11,18),(11,19),(12,38),(13,36),(13,38),(14,37),(15,36),(16,35),(17,37),(18,20),(19,30),(20,12),(21,12),(21,35),(22,14),(22,39),(23,4),(23,22),(23,36),(24,3),(24,29),(25,2),(25,27),(26,20),(26,21),(27,26),(27,31),(28,18),(28,26),(29,19),(29,32),(30,13),(30,15),(31,16),(31,21),(32,6),(32,30),(32,33),(33,13),(33,23),(33,35),(34,27),(34,28),(35,22),(35,38),(36,17),(36,39),(38,39),(39,37)],40)
[[2,4],[5,6]]=>([(0,1),(1,9),(1,10),(1,11),(2,44),(3,31),(4,13),(4,26),(5,36),(6,33),(6,39),(7,21),(7,40),(8,20),(8,32),(9,35),(9,41),(10,34),(10,35),(11,12),(11,34),(11,41),(12,5),(12,22),(12,43),(13,15),(13,24),(13,25),(14,54),(15,45),(15,58),(16,45),(16,47),(17,53),(17,55),(18,48),(18,56),(19,49),(20,52),(21,51),(22,26),(23,20),(24,38),(24,45),(25,31),(25,58),(26,3),(26,25),(27,21),(27,50),(28,14),(28,47),(28,58),(29,14),(29,50),(30,32),(30,48),(30,53),(31,8),(31,23),(32,19),(32,52),(33,7),(33,27),(33,46),(34,4),(34,22),(35,2),(35,42),(36,27),(36,29),(37,28),(37,29),(37,46),(38,18),(38,30),(38,57),(39,16),(39,24),(39,46),(40,17),(40,30),(40,51),(41,6),(41,42),(41,43),(42,37),(42,39),(42,44),(43,33),(43,36),(43,37),(44,15),(44,16),(44,28),(45,57),(46,38),(46,40),(46,47),(46,50),(47,17),(47,54),(47,57),(48,19),(48,59),(50,18),(50,51),(50,54),(51,48),(51,55),(52,49),(53,52),(53,59),(54,55),(54,56),(55,59),(56,59),(57,53),(57,56),(58,23),(59,49)],60)
[[2,5],[4,6]]=>([(0,1),(1,8),(1,9),(1,10),(2,35),(3,34),(4,7),(4,36),(5,18),(5,26),(6,19),(6,25),(7,17),(7,37),(8,28),(8,38),(9,27),(9,28),(10,11),(10,27),(10,38),(11,12),(11,31),(11,32),(12,20),(12,21),(13,43),(14,40),(15,43),(15,44),(16,40),(17,39),(18,2),(18,44),(19,41),(20,23),(21,33),(22,13),(22,39),(23,13),(24,19),(24,42),(25,14),(25,41),(26,6),(26,24),(26,44),(27,4),(27,32),(28,3),(28,30),(29,22),(29,23),(30,29),(30,34),(31,20),(31,29),(32,21),(32,36),(33,15),(33,18),(34,17),(34,22),(35,14),(35,16),(36,5),(36,33),(36,37),(37,15),(37,26),(37,39),(38,30),(38,31),(39,24),(39,43),(41,40),(42,16),(42,41),(43,42),(44,25),(44,35),(44,42)],45)
[[2,4],[6,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,49),(3,43),(4,35),(5,14),(5,29),(6,40),(7,23),(7,45),(8,37),(8,44),(9,22),(9,36),(10,39),(10,46),(11,38),(11,39),(12,13),(12,38),(12,46),(13,6),(13,24),(13,48),(14,17),(14,27),(14,28),(15,61),(16,60),(17,50),(17,64),(18,50),(18,53),(19,51),(20,62),(20,65),(21,58),(21,63),(22,57),(23,3),(23,54),(24,29),(25,22),(26,16),(26,51),(27,42),(27,50),(28,35),(28,64),(29,4),(29,28),(30,36),(30,58),(30,65),(31,23),(31,56),(32,16),(32,55),(33,15),(33,53),(33,64),(34,15),(34,56),(35,9),(35,25),(36,32),(36,57),(37,7),(37,31),(37,52),(38,5),(38,24),(39,2),(39,47),(40,31),(40,34),(41,33),(41,34),(41,52),(42,20),(42,30),(42,59),(43,19),(43,26),(44,18),(44,27),(44,52),(45,21),(45,30),(45,54),(46,8),(46,47),(46,48),(47,41),(47,44),(47,49),(48,37),(48,40),(48,41),(49,17),(49,18),(49,33),(50,59),(51,60),(52,42),(52,45),(52,53),(52,56),(53,21),(53,59),(53,61),(54,43),(54,63),(54,65),(55,60),(56,20),(56,54),(56,61),(57,55),(58,57),(58,66),(59,58),(59,62),(61,62),(61,63),(62,66),(63,19),(63,66),(64,25),(65,26),(65,32),(65,66),(66,51),(66,55)],67)
[[2,5],[5,6]]=>([(0,1),(1,9),(1,10),(1,11),(2,37),(3,36),(4,17),(5,8),(5,38),(6,20),(6,28),(7,21),(7,27),(8,19),(8,39),(9,30),(9,40),(10,29),(10,30),(11,12),(11,29),(11,40),(12,13),(12,33),(12,34),(13,22),(13,23),(14,45),(15,45),(15,46),(16,4),(16,42),(18,42),(19,41),(20,2),(20,46),(21,43),(22,25),(23,35),(24,14),(24,41),(25,14),(26,21),(26,44),(27,16),(27,43),(28,7),(28,26),(28,46),(29,5),(29,34),(30,3),(30,32),(31,24),(31,25),(32,31),(32,36),(33,22),(33,31),(34,23),(34,38),(35,15),(35,20),(36,19),(36,24),(37,16),(37,18),(38,6),(38,35),(38,39),(39,15),(39,28),(39,41),(40,32),(40,33),(41,26),(41,45),(42,17),(43,42),(44,18),(44,43),(45,44),(46,27),(46,37),(46,44)],47)
[[2,5],[6,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,54),(3,52),(4,16),(4,55),(5,61),(6,29),(6,57),(7,44),(7,56),(8,27),(8,43),(9,28),(9,30),(10,45),(10,46),(11,45),(11,58),(12,13),(12,46),(12,58),(13,14),(13,48),(13,60),(14,34),(14,47),(15,21),(15,41),(15,42),(16,19),(16,31),(16,51),(17,64),(17,77),(18,64),(18,82),(19,62),(19,81),(20,62),(20,66),(21,72),(21,73),(22,63),(23,78),(23,83),(24,67),(25,75),(25,79),(26,9),(26,67),(27,3),(27,82),(28,68),(29,2),(29,69),(30,68),(31,53),(31,62),(32,28),(32,80),(33,32),(33,63),(34,50),(35,41),(35,75),(35,83),(36,32),(36,70),(37,21),(37,74),(38,29),(38,71),(39,17),(39,66),(39,81),(40,17),(40,71),(41,36),(41,73),(42,26),(42,72),(43,15),(43,37),(43,82),(44,6),(44,38),(44,65),(45,5),(45,59),(46,4),(46,48),(47,38),(47,40),(48,34),(48,55),(49,39),(49,40),(49,65),(50,18),(50,27),(51,18),(51,43),(51,81),(52,24),(52,26),(53,23),(53,35),(53,76),(54,22),(54,33),(55,8),(55,50),(55,51),(56,20),(56,31),(56,65),(57,25),(57,35),(57,69),(58,7),(58,59),(58,60),(59,49),(59,56),(59,61),(60,44),(60,47),(60,49),(61,19),(61,20),(61,39),(62,76),(63,80),(64,74),(65,53),(65,57),(65,66),(65,71),(66,25),(66,76),(66,77),(67,30),(69,54),(69,79),(69,83),(70,80),(71,23),(71,69),(71,77),(72,67),(73,70),(74,24),(74,72),(75,73),(75,84),(76,75),(76,78),(77,78),(77,79),(78,84),(79,22),(79,84),(80,68),(81,37),(81,64),(82,42),(82,52),(82,74),(83,33),(83,36),(83,84),(84,63),(84,70)],85)
[[3,3],[4,6]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,32),(4,26),(5,21),(6,4),(6,31),(7,23),(7,28),(8,25),(8,29),(9,18),(9,25),(10,6),(10,18),(10,29),(11,17),(11,24),(12,38),(14,39),(15,35),(16,34),(16,36),(17,34),(18,1),(19,15),(19,36),(20,15),(20,39),(21,13),(22,12),(22,37),(23,14),(23,33),(24,22),(24,34),(25,3),(25,30),(26,14),(26,20),(27,19),(27,20),(27,33),(28,16),(28,24),(28,33),(29,7),(29,30),(29,31),(30,27),(30,28),(30,32),(31,23),(31,26),(31,27),(32,16),(32,17),(32,19),(33,22),(33,36),(33,39),(34,5),(34,37),(35,38),(36,35),(36,37),(37,21),(37,38),(38,13),(39,12),(39,35)],40)
[[3,3],[5,6]]=>([(0,2),(1,12),(2,9),(2,10),(2,11),(3,38),(4,29),(5,31),(6,4),(6,37),(7,21),(7,34),(8,27),(8,33),(9,28),(9,35),(10,22),(10,28),(11,6),(11,22),(11,35),(12,20),(12,26),(13,45),(13,47),(14,46),(14,47),(15,45),(15,48),(16,43),(17,41),(17,49),(18,43),(19,42),(20,41),(21,39),(22,1),(23,19),(23,49),(24,19),(24,50),(25,21),(25,50),(26,32),(26,41),(27,7),(27,25),(27,40),(28,3),(28,36),(29,24),(29,25),(30,23),(30,24),(30,40),(31,16),(31,18),(32,13),(32,15),(32,44),(33,17),(33,26),(33,40),(34,13),(34,14),(34,39),(35,8),(35,36),(35,37),(36,30),(36,33),(36,38),(37,27),(37,29),(37,30),(38,17),(38,20),(38,23),(39,45),(39,46),(40,32),(40,34),(40,49),(40,50),(41,5),(41,44),(42,46),(42,48),(44,31),(44,47),(44,48),(45,51),(46,51),(47,16),(47,51),(48,18),(48,51),(49,14),(49,42),(49,44),(50,15),(50,39),(50,42),(51,43)],52)
[[3,3],[6,6]]=>([(0,2),(1,13),(2,10),(2,11),(2,12),(3,43),(4,37),(5,36),(6,35),(7,4),(7,42),(8,31),(8,39),(9,25),(9,38),(10,32),(10,40),(11,26),(11,32),(12,7),(12,26),(12,40),(13,24),(13,30),(14,48),(15,44),(15,49),(16,51),(16,53),(17,55),(18,55),(19,56),(20,56),(21,52),(21,53),(22,51),(22,54),(24,44),(25,5),(25,46),(26,1),(27,14),(27,50),(28,14),(28,49),(29,25),(29,50),(30,33),(30,44),(31,9),(31,29),(31,45),(32,3),(32,41),(33,16),(33,21),(33,47),(34,27),(34,28),(34,45),(35,17),(35,18),(36,19),(36,20),(37,27),(37,29),(38,16),(38,22),(38,46),(39,15),(39,30),(39,45),(40,8),(40,41),(40,42),(41,34),(41,39),(41,43),(42,31),(42,34),(42,37),(43,15),(43,24),(43,28),(44,6),(44,47),(45,33),(45,38),(45,49),(45,50),(46,36),(46,53),(46,54),(47,35),(47,51),(47,52),(48,52),(48,54),(49,22),(49,47),(49,48),(50,21),(50,46),(50,48),(51,17),(51,57),(52,18),(52,57),(53,20),(53,57),(54,19),(54,57),(55,23),(56,23),(57,55),(57,56)],58)
[[3,4],[4,6]]=>([(0,1),(1,8),(1,9),(1,10),(2,46),(3,13),(3,41),(4,40),(5,31),(5,42),(6,23),(6,30),(7,22),(7,32),(8,12),(8,34),(8,43),(9,33),(9,34),(10,33),(10,43),(11,26),(11,38),(12,11),(12,35),(12,44),(13,17),(13,29),(13,39),(14,52),(15,50),(16,51),(16,57),(17,48),(17,58),(18,47),(18,48),(19,49),(19,51),(20,56),(21,52),(22,49),(23,53),(24,20),(24,55),(25,30),(25,54),(26,36),(27,16),(27,50),(28,16),(28,47),(28,58),(29,24),(29,48),(30,14),(30,53),(31,15),(31,59),(32,6),(32,25),(32,49),(33,2),(33,45),(34,3),(34,35),(35,26),(35,41),(36,19),(36,22),(37,27),(37,28),(37,59),(38,15),(38,27),(39,19),(39,32),(39,58),(40,14),(40,21),(41,7),(41,36),(41,39),(42,18),(42,29),(42,59),(43,5),(43,44),(43,45),(44,31),(44,37),(44,38),(45,37),(45,42),(45,46),(46,17),(46,18),(46,28),(47,55),(47,57),(48,4),(48,55),(49,23),(49,54),(50,20),(50,57),(51,54),(53,52),(54,53),(55,40),(55,56),(56,21),(57,56),(58,25),(58,51),(59,24),(59,47),(59,50)],60)
[[3,4],[5,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,48),(3,34),(4,14),(4,29),(5,49),(6,40),(7,37),(7,43),(8,35),(8,36),(9,24),(9,44),(10,39),(10,45),(11,38),(11,39),(12,13),(12,38),(12,45),(13,6),(13,25),(13,47),(14,16),(14,27),(14,28),(15,62),(16,50),(16,66),(17,50),(17,53),(18,54),(19,51),(20,56),(21,51),(21,54),(22,59),(22,63),(23,55),(23,64),(24,57),(25,29),(26,35),(27,42),(27,50),(28,34),(28,66),(29,3),(29,28),(30,24),(30,58),(31,15),(31,53),(31,66),(32,15),(32,58),(33,36),(33,55),(33,59),(34,8),(34,26),(35,18),(35,60),(36,20),(36,60),(37,9),(37,30),(37,52),(38,4),(38,25),(39,2),(39,46),(40,30),(40,32),(41,31),(41,32),(41,52),(42,23),(42,33),(42,61),(43,17),(43,27),(43,52),(44,22),(44,33),(44,57),(45,7),(45,46),(45,47),(46,41),(46,43),(46,48),(47,37),(47,40),(47,41),(48,16),(48,17),(48,31),(49,18),(49,19),(49,21),(50,5),(50,61),(51,65),(52,42),(52,44),(52,53),(52,58),(53,22),(53,61),(53,62),(54,65),(55,20),(55,67),(56,65),(57,55),(57,63),(58,23),(58,57),(58,62),(59,21),(59,60),(59,67),(60,54),(60,56),(61,49),(61,59),(61,64),(62,63),(62,64),(63,67),(64,19),(64,67),(66,26),(67,51),(67,56)],68)
[[3,5],[4,6]]=>([(0,1),(1,9),(1,10),(1,11),(2,51),(3,45),(4,14),(4,46),(5,44),(6,33),(6,35),(7,34),(7,47),(8,26),(8,36),(9,37),(9,38),(10,37),(10,48),(11,12),(11,38),(11,48),(12,13),(12,40),(12,50),(13,27),(13,39),(14,25),(14,30),(14,43),(15,61),(16,62),(17,63),(18,62),(19,63),(21,64),(22,57),(22,59),(23,55),(23,57),(24,53),(24,58),(25,52),(25,53),(26,3),(26,55),(27,41),(28,22),(28,64),(29,22),(29,52),(29,58),(30,31),(30,53),(31,15),(31,60),(32,33),(32,65),(33,19),(33,56),(34,21),(34,54),(35,18),(35,56),(36,6),(36,32),(36,55),(37,2),(37,49),(38,4),(38,40),(39,21),(39,28),(40,27),(40,46),(41,23),(41,26),(42,28),(42,29),(42,54),(43,23),(43,36),(43,52),(44,17),(44,19),(45,16),(45,18),(46,8),(46,41),(46,43),(47,24),(47,30),(47,54),(48,7),(48,49),(48,50),(49,42),(49,47),(49,51),(50,34),(50,39),(50,42),(51,24),(51,25),(51,29),(52,32),(52,57),(53,5),(53,60),(54,31),(54,58),(54,64),(55,35),(55,45),(55,65),(56,62),(56,63),(57,65),(58,59),(58,60),(59,61),(60,44),(60,61),(61,17),(62,20),(63,20),(64,15),(64,59),(65,16),(65,56)],66)
[[3,4],[6,6]]=>([(0,1),(1,11),(1,12),(1,13),(2,54),(3,39),(4,48),(5,15),(5,33),(6,55),(7,45),(8,42),(8,49),(9,40),(9,41),(10,27),(10,50),(11,44),(11,51),(12,43),(12,44),(13,14),(13,43),(13,51),(14,7),(14,28),(14,53),(15,18),(15,31),(15,32),(16,69),(17,70),(18,56),(18,74),(19,56),(19,61),(20,60),(21,57),(22,58),(23,72),(23,75),(24,58),(24,60),(25,65),(25,71),(26,68),(27,4),(27,62),(28,33),(29,40),(30,17),(30,57),(31,47),(31,56),(32,39),(32,74),(33,3),(33,32),(34,41),(34,65),(34,75),(35,27),(35,64),(36,17),(36,63),(37,16),(37,61),(37,74),(38,16),(38,64),(39,9),(39,29),(40,20),(40,66),(41,36),(41,66),(42,10),(42,35),(42,59),(43,5),(43,28),(44,2),(44,52),(45,35),(45,38),(46,37),(46,38),(46,59),(47,23),(47,34),(47,67),(48,21),(48,30),(49,19),(49,31),(49,59),(50,25),(50,34),(50,62),(51,8),(51,52),(51,53),(52,46),(52,49),(52,54),(53,42),(53,45),(53,46),(54,18),(54,19),(54,37),(55,20),(55,22),(55,24),(56,6),(56,67),(57,26),(57,70),(58,26),(58,73),(59,47),(59,50),(59,61),(59,64),(60,73),(61,25),(61,67),(61,69),(62,48),(62,71),(62,75),(63,70),(63,73),(64,23),(64,62),(64,69),(65,24),(65,66),(65,76),(66,60),(66,63),(67,55),(67,65),(67,72),(69,71),(69,72),(70,68),(71,21),(71,76),(72,22),(72,76),(73,68),(74,29),(75,30),(75,36),(75,76),(76,57),(76,58),(76,63)],77)
[[3,5],[5,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,32),(3,54),(4,47),(5,15),(5,49),(6,48),(7,38),(7,50),(8,36),(8,37),(9,27),(9,39),(10,14),(10,41),(10,51),(11,40),(11,41),(12,40),(12,51),(13,31),(13,45),(14,13),(14,42),(14,52),(15,22),(15,35),(15,46),(17,64),(18,2),(18,68),(19,57),(20,58),(20,65),(21,58),(21,63),(22,56),(22,66),(23,55),(23,56),(24,62),(25,68),(26,64),(27,4),(27,65),(28,24),(28,61),(29,36),(29,59),(30,16),(31,44),(32,16),(33,21),(33,57),(34,21),(34,55),(34,66),(35,28),(35,56),(36,17),(36,60),(37,18),(37,60),(38,19),(38,67),(39,8),(39,29),(39,65),(40,3),(40,53),(41,5),(41,42),(42,31),(42,49),(43,33),(43,34),(43,67),(44,20),(44,27),(45,19),(45,33),(46,20),(46,39),(46,66),(47,18),(47,25),(48,17),(48,26),(49,9),(49,44),(49,46),(50,23),(50,35),(50,67),(51,7),(51,52),(51,53),(52,38),(52,43),(52,45),(53,43),(53,50),(53,54),(54,22),(54,23),(54,34),(55,61),(55,63),(56,6),(56,61),(57,24),(57,63),(58,59),(59,25),(59,60),(60,64),(60,68),(61,48),(61,62),(62,26),(63,62),(64,30),(65,37),(65,47),(65,59),(66,29),(66,58),(67,28),(67,55),(67,57),(68,30),(68,32)],69)
[[3,5],[6,6]]=>([(0,1),(1,11),(1,12),(1,13),(2,61),(3,59),(4,17),(4,62),(5,68),(6,69),(7,34),(7,64),(8,51),(8,63),(9,32),(9,49),(10,33),(10,50),(11,52),(11,53),(12,52),(12,65),(13,14),(13,53),(13,65),(14,15),(14,55),(14,67),(15,38),(15,54),(16,46),(16,47),(16,48),(17,20),(17,36),(17,58),(18,73),(18,88),(19,87),(20,70),(20,93),(21,73),(21,94),(22,75),(22,95),(23,70),(23,76),(24,71),(25,72),(25,95),(26,90),(26,97),(27,96),(28,72),(28,75),(29,83),(29,89),(30,86),(31,10),(31,96),(32,3),(32,94),(33,78),(34,2),(34,77),(35,37),(35,71),(36,60),(36,70),(37,33),(37,91),(38,57),(39,19),(40,37),(40,80),(41,46),(41,83),(41,97),(42,48),(42,82),(43,34),(43,81),(44,18),(44,76),(44,93),(45,18),(45,81),(46,40),(46,84),(47,31),(47,79),(48,22),(48,79),(48,84),(49,16),(49,42),(49,94),(50,19),(50,78),(51,7),(51,43),(51,74),(52,5),(52,66),(53,4),(53,55),(54,43),(54,45),(55,38),(55,62),(56,44),(56,45),(56,74),(57,21),(57,32),(58,21),(58,49),(58,93),(59,27),(59,31),(60,26),(60,41),(60,85),(61,24),(61,35),(62,9),(62,57),(62,58),(63,23),(63,36),(63,74),(64,29),(64,41),(64,77),(65,8),(65,66),(65,67),(66,56),(66,63),(66,68),(67,51),(67,54),(67,56),(68,20),(68,23),(68,44),(69,22),(69,25),(69,28),(70,6),(70,85),(71,30),(71,91),(72,30),(72,92),(73,82),(74,60),(74,64),(74,76),(74,81),(75,92),(76,29),(76,85),(76,88),(77,61),(77,89),(77,97),(78,87),(79,95),(79,96),(80,91),(80,92),(81,26),(81,77),(81,88),(82,27),(82,79),(83,28),(83,84),(83,98),(84,75),(84,80),(85,69),(85,83),(85,90),(86,87),(88,89),(88,90),(89,24),(89,98),(90,25),(90,98),(91,78),(91,86),(92,86),(93,42),(93,73),(94,47),(94,59),(94,82),(95,39),(96,39),(96,50),(97,35),(97,40),(97,98),(98,71),(98,72),(98,80)],99)
[[4,4],[5,6]]=>([(0,1),(1,11),(1,12),(1,13),(2,50),(3,36),(4,15),(4,31),(5,21),(6,51),(7,42),(8,39),(8,45),(9,37),(9,38),(10,26),(10,46),(11,41),(11,47),(12,40),(12,41),(13,14),(13,40),(13,47),(14,7),(14,27),(14,49),(15,17),(15,29),(15,30),(16,64),(17,52),(17,68),(18,52),(18,55),(19,56),(20,53),(22,58),(23,53),(23,56),(24,61),(24,65),(25,57),(25,66),(26,59),(27,31),(28,37),(29,44),(29,52),(30,36),(30,68),(31,3),(31,30),(32,26),(32,60),(33,16),(33,55),(33,68),(34,16),(34,60),(35,38),(35,57),(35,61),(36,9),(36,28),(37,19),(37,62),(38,22),(38,62),(39,10),(39,32),(39,54),(40,4),(40,27),(41,2),(41,48),(42,32),(42,34),(43,33),(43,34),(43,54),(44,25),(44,35),(44,63),(45,18),(45,29),(45,54),(46,24),(46,35),(46,59),(47,8),(47,48),(47,49),(48,43),(48,45),(48,50),(49,39),(49,42),(49,43),(50,17),(50,18),(50,33),(51,19),(51,20),(51,23),(52,6),(52,63),(53,67),(54,44),(54,46),(54,55),(54,60),(55,24),(55,63),(55,64),(56,5),(56,67),(57,22),(57,69),(58,67),(59,57),(59,65),(60,25),(60,59),(60,64),(61,23),(61,62),(61,69),(62,56),(62,58),(63,51),(63,61),(63,66),(64,65),(64,66),(65,69),(66,20),(66,69),(67,21),(68,28),(69,53),(69,58)],70)
[[4,4],[6,6]]=>([(0,1),(1,12),(1,13),(1,14),(2,58),(3,46),(4,54),(5,57),(6,53),(7,45),(8,16),(8,47),(9,41),(9,42),(10,35),(10,50),(11,29),(11,52),(12,44),(12,49),(13,43),(13,44),(14,15),(14,43),(14,49),(15,6),(15,30),(15,56),(16,20),(16,33),(16,34),(17,71),(18,70),(19,75),(20,74),(20,76),(21,66),(21,74),(22,60),(23,60),(23,75),(24,59),(26,73),(26,78),(27,69),(27,72),(28,63),(29,4),(29,62),(30,47),(31,17),(31,59),(32,42),(33,51),(33,74),(34,46),(34,76),(35,11),(35,36),(35,61),(36,29),(36,68),(37,41),(37,69),(37,78),(38,17),(38,64),(39,18),(39,68),(40,18),(40,66),(40,76),(41,38),(41,65),(42,19),(42,65),(43,8),(43,30),(44,5),(44,55),(45,25),(46,9),(46,32),(47,3),(47,34),(48,39),(48,40),(48,61),(49,10),(49,55),(49,56),(50,21),(50,33),(50,61),(51,26),(51,37),(51,67),(52,27),(52,37),(52,62),(53,36),(53,39),(54,24),(54,31),(55,48),(55,50),(55,57),(56,35),(56,48),(56,53),(57,20),(57,21),(57,40),(58,19),(58,22),(58,23),(59,28),(59,71),(60,28),(60,77),(61,51),(61,52),(61,66),(61,68),(62,54),(62,72),(62,78),(63,25),(64,71),(64,77),(65,64),(65,75),(66,27),(66,67),(66,70),(67,58),(67,69),(67,73),(68,26),(68,62),(68,70),(69,23),(69,65),(69,79),(70,72),(70,73),(71,63),(72,24),(72,79),(73,22),(73,79),(74,2),(74,67),(75,7),(75,77),(76,32),(77,45),(77,63),(78,31),(78,38),(78,79),(79,59),(79,60),(79,64)],80)
[[4,5],[5,6]]=>([(0,1),(1,11),(1,12),(1,13),(2,38),(3,17),(3,58),(4,64),(5,56),(6,37),(7,65),(8,32),(8,60),(9,48),(9,59),(10,31),(10,47),(11,49),(11,50),(12,49),(12,61),(13,14),(13,50),(13,61),(14,15),(14,52),(14,63),(15,35),(15,51),(16,43),(16,44),(16,46),(17,21),(17,33),(17,55),(19,68),(19,81),(20,68),(20,85),(21,66),(21,84),(22,2),(22,88),(23,71),(23,86),(24,66),(24,70),(25,67),(25,86),(26,88),(27,74),(28,67),(28,71),(29,78),(29,82),(30,73),(30,83),(31,5),(31,85),(32,75),(33,57),(33,66),(34,36),(35,54),(36,18),(37,18),(38,36),(39,46),(39,77),(40,32),(40,76),(41,19),(41,70),(41,84),(42,19),(42,76),(43,27),(43,79),(44,22),(44,72),(45,43),(45,73),(45,78),(46,23),(46,72),(46,79),(47,16),(47,39),(47,85),(48,8),(48,40),(48,69),(49,4),(49,62),(50,3),(50,52),(51,40),(51,42),(52,35),(52,58),(53,41),(53,42),(53,69),(54,20),(54,31),(55,20),(55,47),(55,84),(56,22),(56,26),(57,30),(57,45),(57,80),(58,10),(58,54),(58,55),(59,24),(59,33),(59,69),(60,29),(60,45),(60,75),(61,9),(61,62),(61,63),(62,53),(62,59),(62,64),(63,48),(63,51),(63,53),(64,21),(64,24),(64,41),(65,23),(65,25),(65,28),(66,7),(66,80),(67,87),(68,77),(69,57),(69,60),(69,70),(69,76),(70,29),(70,80),(70,81),(71,6),(71,87),(72,86),(72,88),(73,27),(73,89),(74,87),(75,73),(75,82),(76,30),(76,75),(76,81),(77,26),(77,72),(78,28),(78,79),(78,89),(79,71),(79,74),(80,65),(80,78),(80,83),(81,82),(81,83),(82,89),(83,25),(83,89),(84,39),(84,68),(85,44),(85,56),(85,77),(86,34),(87,37),(88,34),(88,38),(89,67),(89,74)],90)
[[4,5],[6,6]]=>([(0,1),(1,12),(1,13),(1,14),(2,65),(3,62),(4,18),(4,66),(5,72),(6,73),(7,63),(8,36),(8,68),(9,54),(9,67),(10,34),(10,52),(11,35),(11,53),(12,55),(12,56),(13,55),(13,69),(14,15),(14,56),(14,69),(15,16),(15,60),(15,71),(16,42),(16,57),(17,49),(17,50),(17,51),(18,19),(18,39),(18,59),(19,74),(19,99),(20,77),(20,92),(21,77),(21,98),(22,82),(22,100),(23,79),(24,74),(24,80),(25,94),(25,102),(26,75),(27,76),(27,100),(28,101),(29,76),(29,82),(30,88),(30,93),(31,79),(32,91),(33,11),(33,101),(34,3),(34,98),(35,83),(36,2),(36,81),(37,23),(37,95),(38,40),(38,75),(39,64),(39,74),(40,35),(40,96),(41,37),(42,58),(43,40),(43,85),(44,49),(44,88),(44,102),(45,51),(45,87),(46,20),(46,80),(46,99),(47,36),(47,86),(48,20),(48,86),(49,43),(49,89),(50,33),(50,84),(51,22),(51,84),(51,89),(52,17),(52,45),(52,98),(53,37),(53,83),(54,8),(54,47),(54,78),(55,5),(55,70),(56,4),(56,60),(57,47),(57,48),(58,21),(58,34),(59,21),(59,52),(59,99),(60,42),(60,66),(61,46),(61,48),(61,78),(62,28),(62,33),(63,23),(63,31),(64,25),(64,44),(64,90),(65,26),(65,38),(66,10),(66,58),(66,59),(67,24),(67,39),(67,78),(68,30),(68,44),(68,81),(69,9),(69,70),(69,71),(70,61),(70,67),(70,72),(71,54),(71,57),(71,61),(72,19),(72,24),(72,46),(73,22),(73,27),(73,29),(74,6),(74,90),(75,32),(75,96),(76,32),(76,97),(77,87),(78,64),(78,68),(78,80),(78,86),(80,30),(80,90),(80,92),(81,65),(81,93),(81,102),(82,7),(82,97),(83,95),(84,100),(84,101),(85,96),(85,97),(86,25),(86,81),(86,92),(87,28),(87,84),(88,29),(88,89),(88,103),(89,82),(89,85),(90,73),(90,88),(90,94),(91,31),(91,95),(92,93),(92,94),(93,26),(93,103),(94,27),(94,103),(95,79),(96,83),(96,91),(97,63),(97,91),(98,50),(98,62),(98,87),(99,45),(99,77),(100,41),(101,41),(101,53),(102,38),(102,43),(102,103),(103,75),(103,76),(103,85)],104)
[[5,5],[6,6]]=>([(0,2),(2,13),(2,14),(2,15),(3,66),(4,63),(5,19),(5,67),(6,73),(7,74),(8,64),(9,37),(9,69),(10,55),(10,68),(11,35),(11,53),(12,36),(12,54),(13,56),(13,57),(14,56),(14,70),(15,16),(15,57),(15,70),(16,17),(16,61),(16,72),(17,43),(17,58),(18,50),(18,51),(18,52),(19,20),(19,40),(19,60),(20,75),(20,100),(21,78),(21,93),(22,78),(22,99),(23,82),(23,101),(24,85),(25,75),(25,80),(26,95),(26,103),(27,76),(28,77),(28,101),(29,102),(30,77),(30,82),(31,89),(31,94),(32,85),(33,92),(34,12),(34,102),(35,4),(35,99),(36,83),(37,3),(37,81),(38,24),(38,96),(39,41),(39,76),(40,65),(40,75),(41,36),(41,97),(42,38),(43,59),(44,41),(44,86),(45,50),(45,89),(45,103),(46,52),(46,88),(47,21),(47,80),(47,100),(48,37),(48,87),(49,21),(49,87),(50,44),(50,90),(51,34),(51,84),(52,23),(52,84),(52,90),(53,18),(53,46),(53,99),(54,38),(54,83),(55,9),(55,48),(55,79),(56,6),(56,71),(57,5),(57,61),(58,48),(58,49),(59,22),(59,35),(60,22),(60,53),(60,100),(61,43),(61,67),(62,47),(62,49),(62,79),(63,29),(63,34),(64,24),(64,32),(65,26),(65,45),(65,91),(66,27),(66,39),(67,11),(67,59),(67,60),(68,25),(68,40),(68,79),(69,31),(69,45),(69,81),(70,10),(70,71),(70,72),(71,62),(71,68),(71,73),(72,55),(72,58),(72,62),(73,20),(73,25),(73,47),(74,23),(74,28),(74,30),(75,7),(75,91),(76,33),(76,97),(77,33),(77,98),(78,88),(79,65),(79,69),(79,80),(79,87),(80,31),(80,91),(80,93),(81,66),(81,94),(81,103),(82,8),(82,98),(83,96),(84,101),(84,102),(85,1),(86,97),(86,98),(87,26),(87,81),(87,93),(88,29),(88,84),(89,30),(89,90),(89,104),(90,82),(90,86),(91,74),(91,89),(91,95),(92,32),(92,96),(93,94),(93,95),(94,27),(94,104),(95,28),(95,104),(96,85),(97,83),(97,92),(98,64),(98,92),(99,51),(99,63),(99,88),(100,46),(100,78),(101,42),(102,42),(102,54),(103,39),(103,44),(103,104),(104,76),(104,77),(104,86)],105)
[[1,1],[2],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1],[3],[6]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1],[4],[6]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1],[5],[6]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2],[2],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,2],[3],[6]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3],[2],[6]]=>([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)
[[1,6],[2],[3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2],[4],[6]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,4],[2],[6]]=>([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,3),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,1),(11,7),(12,2),(12,9)],13)
[[1,6],[2],[4]]=>([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
[[1,2],[5],[6]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,5],[2],[6]]=>([(0,5),(0,7),(1,13),(3,12),(4,10),(5,11),(6,4),(6,8),(7,6),(7,11),(8,10),(8,12),(9,13),(10,9),(11,3),(11,8),(12,1),(12,9),(13,2)],14)
[[1,6],[2],[5]]=>([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11)
[[1,6],[2],[6]]=>([(0,7),(1,9),(2,10),(4,11),(5,8),(6,1),(6,10),(7,5),(8,2),(8,6),(9,11),(10,4),(10,9),(11,3)],12)
[[1,3],[3],[6]]=>([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14)
[[1,3],[4],[6]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,4],[3],[6]]=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,16),(3,13),(4,11),(5,12),(6,1),(6,12),(7,9),(7,10),(8,17),(9,17),(10,17),(11,14),(12,2),(12,15),(13,8),(13,9),(14,8),(14,10),(15,11),(15,16),(16,7),(16,13),(16,14)],18)
[[1,6],[3],[4]]=>([(0,4),(0,8),(1,13),(2,10),(3,10),(3,11),(4,12),(5,9),(6,1),(6,11),(7,2),(8,5),(8,12),(9,3),(9,6),(10,14),(11,13),(11,14),(12,7),(13,15),(14,15)],16)
[[1,3],[5],[6]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,5],[3],[6]]=>([(0,6),(0,7),(1,5),(1,17),(2,12),(3,4),(3,18),(4,15),(5,13),(6,14),(7,1),(7,14),(8,10),(8,11),(9,19),(10,19),(11,2),(11,19),(13,16),(14,3),(14,17),(15,9),(15,10),(16,9),(16,11),(17,13),(17,18),(18,8),(18,15),(18,16),(19,12)],20)
[[1,6],[3],[5]]=>([(0,5),(0,9),(1,15),(1,16),(2,11),(3,11),(3,18),(4,13),(5,12),(6,10),(7,4),(7,18),(8,2),(9,6),(9,12),(10,3),(10,7),(11,14),(12,8),(13,15),(13,17),(14,16),(14,17),(15,19),(16,19),(17,19),(18,1),(18,13),(18,14)],20)
[[1,6],[3],[6]]=>([(0,6),(0,10),(1,17),(1,20),(2,15),(3,12),(4,12),(4,19),(5,14),(6,13),(7,11),(8,5),(8,19),(9,3),(10,7),(10,13),(11,4),(11,8),(12,16),(13,9),(14,18),(14,20),(16,17),(16,18),(17,21),(18,21),(19,1),(19,14),(19,16),(20,2),(20,21),(21,15)],22)
[[1,4],[4],[6]]=>([(0,6),(0,7),(1,5),(1,17),(2,12),(3,4),(3,18),(4,15),(5,13),(6,14),(7,1),(7,14),(8,10),(8,11),(9,19),(10,19),(11,2),(11,19),(13,16),(14,3),(14,17),(15,9),(15,11),(16,9),(16,10),(17,13),(17,18),(18,8),(18,15),(18,16),(19,12)],20)
[[1,4],[5],[6]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,5],[4],[6]]=>([(0,7),(0,8),(1,6),(1,20),(2,16),(3,17),(4,5),(4,21),(5,18),(6,14),(7,15),(8,1),(8,15),(9,12),(9,13),(11,22),(12,3),(12,22),(13,2),(13,22),(14,19),(15,4),(15,20),(16,10),(17,10),(18,11),(18,13),(19,11),(19,12),(20,14),(20,21),(21,9),(21,18),(21,19),(22,16),(22,17)],23)
[[1,6],[4],[5]]=>([(0,9),(0,10),(1,2),(2,7),(2,11),(3,23),(4,17),(5,22),(6,13),(6,24),(7,8),(7,27),(8,26),(9,1),(9,21),(10,3),(10,21),(11,19),(11,27),(12,15),(12,20),(13,18),(13,19),(14,28),(15,28),(17,5),(18,17),(19,25),(20,22),(20,28),(21,6),(21,23),(22,16),(23,24),(24,4),(24,18),(25,14),(25,20),(26,14),(26,15),(27,12),(27,25),(27,26),(28,16)],29)
[[1,6],[4],[6]]=>([(0,10),(0,11),(1,2),(2,8),(2,12),(3,26),(4,25),(5,18),(6,24),(7,14),(7,27),(8,9),(8,30),(9,29),(10,1),(10,23),(11,4),(11,23),(12,20),(12,30),(13,17),(13,21),(14,19),(14,20),(16,31),(17,3),(17,31),(18,6),(19,18),(20,28),(21,24),(21,31),(22,15),(23,7),(23,25),(24,22),(25,27),(26,15),(27,5),(27,19),(28,16),(28,21),(29,16),(29,17),(30,13),(30,28),(30,29),(31,22),(31,26)],32)
[[1,5],[5],[6]]=>([(0,8),(0,9),(2,7),(2,21),(3,17),(4,18),(5,6),(5,22),(6,19),(7,15),(8,16),(9,2),(9,16),(10,13),(10,14),(11,1),(12,23),(13,4),(13,23),(14,3),(14,23),(15,20),(16,5),(16,21),(17,11),(18,11),(19,12),(19,14),(20,12),(20,13),(21,15),(21,22),(22,10),(22,19),(22,20),(23,17),(23,18)],24)
[[1,6],[5],[6]]=>([(0,11),(0,12),(1,2),(2,3),(2,16),(3,10),(3,41),(4,33),(5,34),(6,24),(7,17),(7,40),(8,9),(8,39),(9,26),(10,37),(11,1),(11,32),(12,8),(12,32),(13,27),(13,31),(14,20),(14,22),(15,23),(15,29),(16,28),(16,41),(17,28),(17,38),(18,43),(19,42),(20,13),(20,42),(21,6),(22,5),(22,42),(23,4),(23,43),(25,24),(26,36),(27,30),(28,35),(29,27),(29,43),(30,25),(31,21),(32,7),(32,39),(33,25),(34,21),(35,18),(35,29),(36,19),(36,22),(37,18),(37,23),(38,19),(38,20),(39,26),(39,40),(40,14),(40,36),(40,38),(41,15),(41,35),(41,37),(42,31),(42,34),(43,30),(43,33)],44)
[[2,2],[3],[6]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[2,2],[4],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[2,2],[5],[6]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[2,3],[3],[6]]=>([(0,4),(0,5),(1,9),(1,22),(2,3),(2,23),(3,7),(3,20),(4,19),(5,2),(5,6),(5,19),(6,8),(6,21),(6,23),(7,12),(7,18),(8,13),(8,14),(9,12),(9,17),(10,25),(11,25),(12,24),(13,16),(14,15),(15,11),(16,10),(17,11),(17,24),(18,10),(18,24),(19,1),(19,21),(20,16),(20,18),(21,14),(21,22),(22,15),(22,17),(23,13),(23,20),(24,25)],26)
[[2,3],[4],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[2,4],[3],[6]]=>([(0,4),(0,5),(1,10),(1,26),(2,3),(2,27),(3,8),(3,22),(4,21),(5,2),(5,6),(5,21),(6,9),(6,24),(6,27),(7,13),(7,19),(8,14),(8,20),(9,16),(9,17),(10,14),(10,25),(11,30),(12,28),(12,30),(13,28),(14,29),(15,31),(16,18),(17,23),(18,11),(19,15),(19,28),(20,11),(20,29),(21,1),(21,24),(22,18),(22,20),(23,12),(23,13),(24,17),(24,26),(25,12),(25,19),(25,29),(26,7),(26,23),(26,25),(27,16),(27,22),(28,31),(29,15),(29,30),(30,31)],32)
[[2,6],[3],[4]]=>([(0,10),(0,11),(1,14),(2,14),(2,15),(3,16),(4,13),(4,15),(5,7),(6,12),(7,1),(8,2),(9,3),(9,13),(10,6),(10,22),(11,5),(11,22),(12,4),(12,9),(13,16),(13,21),(14,19),(15,19),(15,21),(16,20),(18,17),(19,18),(20,17),(21,18),(21,20),(22,8)],23)
[[2,3],[5],[6]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[2,5],[3],[6]]=>([(0,5),(0,6),(1,24),(2,11),(2,29),(3,4),(3,30),(4,9),(4,25),(5,23),(6,3),(6,7),(6,23),(7,10),(7,28),(7,30),(8,17),(8,21),(9,12),(9,22),(10,18),(10,19),(11,12),(11,27),(12,31),(13,33),(14,33),(14,34),(16,32),(17,1),(17,34),(18,20),(19,26),(20,13),(21,16),(21,34),(22,13),(22,31),(23,2),(23,28),(24,15),(25,20),(25,22),(26,14),(26,17),(27,14),(27,21),(27,31),(28,19),(28,29),(29,8),(29,26),(29,27),(30,18),(30,25),(31,16),(31,33),(32,15),(33,32),(34,24),(34,32)],35)
[[2,6],[3],[5]]=>([(0,11),(0,12),(1,15),(2,15),(2,16),(3,18),(4,14),(4,16),(5,17),(5,19),(6,8),(7,13),(8,1),(9,2),(10,3),(10,14),(11,7),(11,26),(12,6),(12,26),(13,4),(13,10),(14,5),(14,18),(14,25),(15,22),(16,22),(16,25),(17,27),(18,17),(18,23),(19,21),(19,27),(20,28),(21,28),(22,24),(23,20),(23,27),(24,20),(24,21),(25,19),(25,23),(25,24),(26,9),(27,28)],29)
[[2,6],[3],[6]]=>([(0,10),(0,11),(1,14),(2,5),(3,4),(4,7),(5,8),(5,12),(6,24),(7,23),(8,9),(8,28),(9,26),(10,2),(10,18),(11,3),(11,18),(12,27),(12,28),(13,19),(13,22),(14,23),(14,27),(16,31),(17,31),(18,1),(19,6),(19,30),(20,25),(21,17),(21,30),(22,16),(22,30),(23,20),(24,15),(25,16),(25,17),(26,19),(26,21),(27,20),(27,29),(28,13),(28,26),(28,29),(29,21),(29,22),(29,25),(30,24),(30,31),(31,15)],32)
[[2,4],[4],[6]]=>([(0,4),(0,5),(1,3),(1,29),(2,9),(2,27),(3,10),(3,26),(4,22),(5,1),(5,7),(5,22),(6,15),(6,24),(7,11),(7,28),(7,29),(8,14),(8,16),(9,17),(9,30),(10,17),(10,23),(11,19),(11,20),(12,32),(13,31),(13,32),(14,33),(15,31),(16,33),(17,35),(18,12),(19,18),(20,25),(21,14),(21,34),(22,2),(22,28),(23,12),(23,35),(24,8),(24,21),(24,31),(25,13),(25,15),(26,18),(26,23),(27,6),(27,25),(27,30),(28,20),(28,27),(29,19),(29,26),(30,13),(30,24),(30,35),(31,16),(31,34),(32,34),(34,33),(35,21),(35,32)],36)
[[2,4],[5],[6]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[2,5],[4],[6]]=>([(0,5),(0,6),(1,32),(2,12),(2,33),(3,4),(3,34),(4,10),(4,28),(5,27),(6,3),(6,9),(6,27),(7,17),(7,26),(8,19),(8,24),(9,11),(9,31),(9,34),(10,15),(10,23),(11,20),(11,21),(12,15),(12,30),(13,35),(14,35),(14,40),(15,39),(16,36),(17,37),(18,36),(19,1),(19,40),(20,22),(21,29),(22,13),(23,13),(23,39),(24,7),(24,25),(24,40),(25,17),(25,38),(26,16),(26,37),(27,2),(27,31),(28,22),(28,23),(29,14),(29,19),(30,14),(30,24),(30,39),(31,21),(31,33),(32,16),(32,18),(33,8),(33,29),(33,30),(34,20),(34,28),(35,38),(37,36),(38,18),(38,37),(39,25),(39,35),(40,26),(40,32),(40,38)],41)
[[2,6],[4],[5]]=>([(0,9),(0,10),(1,2),(2,5),(2,13),(3,8),(3,33),(4,32),(5,7),(5,39),(6,16),(6,34),(7,36),(8,11),(8,23),(9,1),(9,31),(10,3),(10,12),(10,31),(11,18),(11,28),(12,27),(12,33),(13,37),(13,39),(14,21),(14,38),(15,20),(15,30),(16,26),(16,28),(16,37),(17,43),(18,45),(19,41),(19,43),(20,41),(21,42),(22,44),(23,18),(24,35),(25,20),(26,32),(26,45),(27,34),(28,24),(28,45),(29,17),(29,42),(30,22),(30,41),(31,6),(31,27),(32,15),(32,25),(33,23),(34,4),(34,26),(35,17),(35,19),(36,21),(36,29),(37,24),(37,40),(38,19),(38,30),(38,42),(39,14),(39,36),(39,40),(40,29),(40,35),(40,38),(41,44),(42,22),(42,43),(43,44),(45,25)],46)
[[2,6],[4],[6]]=>([(0,10),(0,11),(1,2),(2,6),(2,15),(3,9),(3,36),(4,42),(5,35),(6,8),(6,43),(7,17),(7,37),(8,38),(9,12),(9,25),(10,1),(10,34),(11,3),(11,14),(11,34),(12,19),(12,32),(13,24),(13,40),(14,31),(14,36),(15,41),(15,43),(16,21),(16,33),(17,30),(17,32),(17,41),(18,47),(19,49),(20,46),(21,45),(22,45),(22,46),(23,47),(24,4),(24,50),(25,19),(26,21),(27,39),(28,20),(28,50),(29,18),(29,48),(30,35),(30,49),(31,37),(32,27),(32,49),(33,29),(33,45),(34,7),(34,31),(35,16),(35,26),(36,25),(37,5),(37,30),(38,24),(38,28),(39,20),(39,22),(40,22),(40,33),(40,50),(41,27),(41,44),(42,18),(42,23),(43,13),(43,38),(43,44),(44,28),(44,39),(44,40),(45,48),(46,23),(46,48),(48,47),(49,26),(50,29),(50,42),(50,46)],51)
[[2,5],[5],[6]]=>([(0,6),(0,7),(1,36),(2,21),(3,13),(3,34),(4,5),(4,35),(5,11),(5,30),(6,29),(7,4),(7,9),(7,29),(8,17),(8,28),(9,12),(9,32),(9,35),(10,20),(10,26),(11,18),(11,25),(12,22),(12,23),(13,18),(13,33),(14,41),(15,40),(16,37),(16,40),(17,39),(18,38),(19,2),(19,41),(20,1),(20,37),(22,24),(23,31),(24,15),(25,15),(25,38),(26,8),(26,27),(26,37),(27,17),(27,42),(28,19),(28,39),(29,3),(29,32),(30,24),(30,25),(31,16),(31,20),(32,23),(32,34),(33,16),(33,26),(33,38),(34,10),(34,31),(34,33),(35,22),(35,30),(36,14),(36,19),(37,28),(37,36),(37,42),(38,27),(38,40),(39,41),(40,42),(41,21),(42,14),(42,39)],43)
[[2,6],[5],[6]]=>([(0,10),(0,11),(1,2),(2,7),(2,17),(3,56),(4,9),(4,58),(5,55),(6,20),(6,57),(7,8),(7,59),(8,48),(9,13),(9,47),(10,1),(10,46),(11,4),(11,16),(11,46),(12,32),(12,54),(13,40),(13,41),(14,27),(14,30),(15,31),(15,42),(16,18),(16,52),(16,58),(17,53),(17,59),(18,34),(18,35),(19,25),(19,39),(19,45),(20,40),(20,50),(20,53),(21,62),(22,63),(23,63),(23,72),(24,61),(24,62),(25,61),(25,67),(26,14),(26,64),(27,65),(28,68),(29,64),(30,65),(31,5),(31,72),(32,3),(32,70),(33,51),(34,37),(35,49),(36,43),(36,69),(37,22),(38,21),(38,70),(39,36),(39,61),(40,33),(40,71),(41,22),(41,71),(42,19),(42,44),(42,72),(43,27),(43,68),(44,25),(44,66),(45,26),(45,67),(46,6),(46,52),(47,37),(47,41),(48,32),(48,38),(49,23),(49,31),(50,23),(50,42),(50,71),(51,21),(51,24),(52,35),(52,57),(53,33),(53,60),(54,24),(54,39),(54,70),(55,26),(55,29),(56,28),(56,43),(57,15),(57,49),(57,50),(58,34),(58,47),(59,12),(59,48),(59,60),(60,38),(60,51),(60,54),(61,69),(62,28),(62,69),(63,66),(64,30),(66,29),(66,67),(67,64),(68,65),(69,68),(70,36),(70,56),(70,62),(71,44),(71,63),(72,45),(72,55),(72,66)],73)
[[3,3],[4],[6]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[3,3],[5],[6]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[3,4],[4],[6]]=>([(0,4),(0,5),(1,3),(1,39),(2,12),(2,35),(3,13),(3,40),(4,28),(5,1),(5,11),(5,28),(6,18),(6,32),(7,19),(7,23),(8,21),(8,22),(9,17),(9,31),(10,20),(10,30),(11,14),(11,37),(11,39),(12,24),(12,36),(13,24),(13,38),(14,27),(14,33),(15,46),(15,49),(16,41),(16,46),(17,49),(18,48),(19,47),(20,45),(21,43),(22,43),(23,8),(23,47),(24,42),(25,16),(25,48),(26,23),(26,41),(27,34),(28,2),(28,37),(29,30),(29,44),(30,21),(30,45),(31,10),(31,29),(31,49),(32,7),(32,26),(32,48),(33,18),(33,25),(34,15),(34,17),(35,9),(35,34),(35,36),(36,15),(36,31),(36,42),(37,27),(37,35),(38,16),(38,26),(38,42),(39,6),(39,33),(39,40),(40,25),(40,32),(40,38),(41,47),(42,29),(42,46),(44,45),(45,43),(46,44),(47,22),(48,19),(48,41),(49,20),(49,44)],50)
[[3,4],[5],[6]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[3,5],[4],[6]]=>([(0,5),(0,6),(1,39),(2,4),(2,44),(3,13),(3,40),(4,12),(4,45),(5,29),(6,2),(6,14),(6,29),(7,25),(7,36),(8,24),(8,35),(9,21),(9,26),(10,22),(10,23),(11,33),(11,34),(12,27),(12,43),(13,27),(13,42),(14,15),(14,41),(14,44),(15,28),(15,37),(16,54),(17,54),(19,46),(19,50),(20,48),(20,50),(21,53),(22,52),(23,52),(24,51),(25,1),(25,46),(26,10),(26,53),(27,47),(28,38),(29,3),(29,41),(30,20),(30,51),(31,26),(31,48),(32,33),(32,55),(33,22),(33,49),(34,17),(34,49),(35,9),(35,31),(35,51),(36,11),(36,32),(36,46),(37,24),(37,30),(38,19),(38,25),(39,16),(39,17),(40,7),(40,38),(40,42),(41,28),(41,40),(42,19),(42,36),(42,47),(43,20),(43,31),(43,47),(44,8),(44,37),(44,45),(45,30),(45,35),(45,43),(46,34),(46,39),(46,55),(47,32),(47,50),(48,53),(49,52),(49,54),(50,55),(51,21),(51,48),(52,18),(53,23),(54,18),(55,16),(55,49)],56)
[[3,6],[4],[5]]=>([(0,12),(0,13),(1,2),(2,8),(2,17),(3,41),(4,11),(4,42),(5,39),(6,25),(7,38),(8,10),(8,48),(9,19),(9,40),(10,44),(11,14),(11,43),(12,1),(12,37),(13,4),(13,16),(13,37),(14,35),(14,36),(15,32),(15,33),(16,34),(16,42),(17,47),(17,48),(18,20),(18,46),(19,31),(19,36),(19,47),(20,50),(21,52),(22,52),(22,54),(24,51),(25,7),(26,45),(27,23),(28,25),(29,33),(30,21),(30,50),(31,39),(31,53),(32,24),(32,54),(33,38),(33,54),(34,40),(35,28),(35,53),(36,26),(36,53),(37,9),(37,34),(38,27),(39,15),(39,29),(40,5),(40,31),(41,6),(41,28),(42,3),(42,43),(43,35),(43,41),(44,20),(44,30),(45,21),(45,22),(46,22),(46,32),(46,50),(47,26),(47,49),(48,18),(48,44),(48,49),(49,30),(49,45),(49,46),(50,24),(50,52),(51,23),(52,51),(53,29),(54,27),(54,51)],55)
[[3,6],[4],[6]]=>([(0,13),(0,14),(1,2),(2,9),(2,18),(3,45),(4,53),(5,12),(5,46),(6,43),(7,27),(8,42),(9,11),(9,52),(10,20),(10,44),(11,48),(12,16),(12,47),(13,1),(13,41),(14,5),(14,17),(14,41),(15,33),(15,34),(16,35),(16,36),(17,30),(17,46),(18,50),(18,52),(19,26),(19,51),(20,32),(20,36),(20,50),(22,56),(23,55),(24,56),(25,55),(25,57),(26,4),(26,59),(27,8),(28,49),(29,27),(30,44),(31,23),(31,59),(32,43),(32,58),(33,39),(33,57),(34,42),(34,57),(35,29),(35,58),(36,28),(36,58),(37,34),(38,40),(39,22),(39,60),(40,21),(41,10),(41,30),(42,38),(43,15),(43,37),(44,6),(44,32),(45,7),(45,29),(46,3),(46,47),(47,35),(47,45),(48,26),(48,31),(49,23),(49,25),(50,28),(50,54),(51,25),(51,33),(51,59),(52,19),(52,48),(52,54),(53,22),(53,24),(54,31),(54,49),(54,51),(55,24),(55,60),(56,21),(57,38),(57,60),(58,37),(59,39),(59,53),(59,55),(60,40),(60,56)],61)
[[3,5],[5],[6]]=>([(0,6),(0,7),(1,34),(2,42),(3,5),(3,47),(4,14),(4,43),(5,13),(5,48),(6,30),(7,3),(7,15),(7,30),(8,26),(8,39),(9,25),(9,38),(10,23),(10,27),(11,22),(11,24),(12,36),(12,37),(13,28),(13,46),(14,28),(14,45),(15,16),(15,44),(15,47),(16,29),(16,40),(17,55),(19,1),(19,55),(20,49),(20,53),(21,52),(21,53),(22,54),(23,57),(24,54),(25,56),(26,2),(26,49),(27,11),(27,57),(28,51),(29,41),(30,4),(30,44),(31,21),(31,56),(32,27),(32,52),(33,36),(33,58),(34,18),(35,18),(36,22),(36,50),(37,19),(37,50),(38,10),(38,32),(38,56),(39,12),(39,33),(39,49),(40,25),(40,31),(41,20),(41,26),(42,17),(42,19),(43,8),(43,41),(43,45),(44,29),(44,43),(45,20),(45,39),(45,51),(46,21),(46,32),(46,51),(47,9),(47,40),(47,48),(48,31),(48,38),(48,46),(49,37),(49,42),(49,58),(50,54),(50,55),(51,33),(51,53),(52,57),(53,58),(54,35),(55,34),(55,35),(56,23),(56,52),(57,24),(58,17),(58,50)],59)
[[3,6],[5],[6]]=>([(0,10),(0,11),(1,2),(2,6),(2,17),(3,66),(4,23),(4,67),(5,9),(5,73),(6,8),(6,72),(7,65),(8,60),(9,16),(9,75),(10,1),(10,50),(11,5),(11,20),(11,50),(12,35),(12,71),(13,33),(13,59),(14,38),(14,39),(15,36),(15,58),(16,56),(16,70),(17,69),(17,72),(18,37),(18,55),(19,34),(19,57),(20,21),(20,68),(20,73),(21,43),(21,61),(22,49),(22,53),(22,54),(23,56),(23,63),(23,69),(24,79),(24,89),(25,76),(25,90),(26,76),(27,79),(27,85),(28,80),(29,78),(30,92),(31,80),(32,15),(32,92),(33,77),(34,7),(34,89),(35,3),(35,87),(36,84),(37,91),(38,81),(39,18),(39,81),(40,64),(41,36),(41,78),(42,45),(43,62),(44,28),(45,31),(46,41),(46,88),(47,27),(47,77),(48,26),(48,87),(49,46),(49,90),(50,4),(50,68),(51,39),(51,85),(52,54),(52,83),(53,32),(53,82),(54,55),(54,82),(54,90),(55,42),(55,91),(56,40),(56,86),(57,22),(57,52),(57,89),(58,28),(58,84),(59,14),(59,51),(59,77),(60,35),(60,48),(61,33),(61,47),(62,24),(62,34),(63,24),(63,57),(63,86),(64,25),(64,26),(65,30),(65,32),(66,29),(66,41),(67,19),(67,62),(67,63),(68,43),(68,67),(69,40),(69,74),(70,27),(70,51),(70,86),(71,25),(71,49),(71,87),(72,12),(72,60),(72,74),(73,13),(73,61),(73,75),(74,48),(74,64),(74,71),(75,47),(75,59),(75,70),(76,29),(76,88),(77,38),(77,85),(78,31),(78,84),(79,83),(81,37),(82,91),(82,92),(83,30),(83,82),(84,80),(85,81),(86,52),(86,79),(87,46),(87,66),(87,76),(88,45),(88,78),(89,53),(89,65),(89,83),(90,42),(90,88),(91,44),(92,44),(92,58)],93)
[[4,4],[5],[6]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[4,5],[5],[6]]=>([(0,9),(0,10),(1,48),(2,57),(3,56),(4,47),(5,32),(6,19),(6,54),(7,8),(7,55),(8,17),(8,58),(9,46),(10,7),(10,14),(10,46),(11,26),(11,45),(12,37),(12,43),(13,30),(13,40),(14,18),(14,51),(14,55),(15,31),(15,39),(16,24),(16,44),(17,25),(17,53),(18,36),(18,49),(19,25),(19,52),(20,69),(21,60),(21,62),(22,68),(23,60),(23,65),(24,66),(25,67),(26,16),(26,64),(27,4),(27,69),(28,5),(29,1),(29,68),(30,2),(30,63),(31,3),(31,65),(33,26),(33,62),(34,28),(35,32),(36,50),(37,24),(37,59),(38,21),(38,63),(39,12),(39,41),(39,65),(40,11),(40,33),(40,63),(41,37),(41,61),(42,35),(43,29),(43,59),(44,34),(44,66),(45,27),(45,64),(46,6),(46,51),(47,28),(48,35),(49,30),(49,38),(50,23),(50,31),(51,36),(51,54),(52,23),(52,39),(52,67),(53,21),(53,33),(53,67),(54,15),(54,50),(54,52),(55,13),(55,49),(55,58),(56,22),(56,29),(57,20),(57,27),(58,38),(58,40),(58,53),(59,66),(59,68),(60,61),(61,22),(61,59),(62,20),(62,64),(63,45),(63,57),(63,62),(64,44),(64,69),(65,43),(65,56),(65,61),(66,42),(67,41),(67,60),(68,42),(68,48),(69,34),(69,47)],70)
[[4,6],[5],[6]]=>([(0,13),(0,14),(1,2),(2,10),(2,22),(3,69),(4,81),(5,12),(5,84),(6,79),(7,80),(8,68),(9,26),(9,82),(10,11),(10,83),(11,74),(12,17),(12,85),(13,1),(13,67),(14,5),(14,21),(14,67),(15,43),(15,63),(16,61),(16,62),(17,59),(17,78),(18,29),(18,58),(19,41),(19,64),(20,42),(20,75),(21,24),(21,76),(21,84),(22,77),(22,83),(23,28),(23,60),(24,52),(24,72),(25,55),(25,56),(25,57),(26,59),(26,73),(26,77),(27,23),(27,103),(28,94),(29,16),(29,101),(30,88),(31,88),(31,97),(32,87),(32,96),(33,87),(33,89),(34,91),(36,103),(37,104),(38,90),(39,8),(40,3),(40,104),(41,6),(41,99),(42,7),(42,98),(43,4),(43,96),(44,55),(44,93),(45,66),(45,102),(46,34),(47,68),(47,91),(48,39),(49,46),(50,47),(51,71),(52,70),(53,30),(53,98),(54,33),(54,99),(55,61),(55,92),(55,97),(56,45),(56,97),(57,27),(57,92),(58,40),(58,101),(59,51),(59,100),(60,47),(60,94),(61,49),(61,95),(62,48),(62,95),(63,25),(63,44),(63,96),(64,18),(64,65),(64,99),(65,29),(65,89),(66,28),(66,90),(67,9),(67,76),(68,35),(69,39),(70,32),(70,43),(71,30),(71,31),(72,41),(72,54),(73,32),(73,63),(73,100),(74,42),(74,53),(75,31),(75,56),(75,98),(76,52),(76,82),(77,51),(77,86),(78,33),(78,65),(78,100),(79,37),(79,40),(80,38),(80,66),(81,27),(81,36),(82,15),(82,70),(82,73),(83,20),(83,74),(83,86),(84,19),(84,72),(84,85),(85,54),(85,64),(85,78),(86,53),(86,71),(86,75),(87,93),(88,38),(88,102),(89,37),(89,101),(90,34),(90,94),(91,35),(92,95),(92,103),(93,36),(93,92),(94,91),(95,50),(96,57),(96,81),(96,93),(97,49),(97,102),(98,45),(98,80),(98,88),(99,58),(99,79),(99,89),(100,44),(100,87),(101,62),(101,104),(102,46),(102,90),(103,50),(103,60),(104,48),(104,69)],105)
[[1],[2],[3],[6]]=>([(0,2),(2,1)],3)
[[1],[2],[4],[6]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1],[2],[5],[6]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1],[3],[4],[6]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1],[3],[5],[6]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1],[4],[5],[6]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[2],[3],[4],[6]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[2],[3],[5],[6]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[2],[4],[5],[6]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[3],[4],[5],[6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,1,1,1]]=>([],1)
[[1,1,1,1,2]]=>([(0,1)],2)
[[1,1,1,2,2]]=>([(0,2),(2,1)],3)
[[1,1,2,2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,2,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1],[2]]=>([],1)
[[1,1,1,2],[2]]=>([(0,1)],2)
[[1,1,2,2],[2]]=>([(0,2),(2,1)],3)
[[1,2,2,2],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1],[2,2]]=>([],1)
[[1,1,2],[2,2]]=>([(0,1)],2)
[[1,1,1,1,3]]=>([(0,2),(2,1)],3)
[[1,1,1,2,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2,2,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2,2,2,3]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,2,3,3]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,3,3,3]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,3,3,3,3]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[2,2,2,2,3]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[2,2,2,3,3]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[2,2,3,3,3]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[2,3,3,3,3]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[3,3,3,3,3]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,1,1,1],[3]]=>([(0,1)],2)
[[1,1,1,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[2]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,3],[2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,3,3],[2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,3,3],[3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,2,2,2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,3],[2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,2,3],[3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,2,3,3],[2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2,3,3],[3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,3,3,3],[2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,3,3,3],[3]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[2,2,2,2],[3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,3],[3]]=>([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12)
[[2,2,3,3],[3]]=>([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18)
[[2,3,3,3],[3]]=>([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24)
[[1,1,1],[2,3]]=>([(0,1)],2)
[[1,1,1],[3,3]]=>([(0,2),(2,1)],3)
[[1,1,2],[2,3]]=>([(0,2),(2,1)],3)
[[1,1,3],[2,2]]=>([(0,2),(2,1)],3)
[[1,1,2],[3,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,3],[2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,3],[3,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2],[2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2],[3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2,3],[2,3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,2,3],[3,3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[2,2,2],[3,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[2,2,3],[3,3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1,1],[2],[3]]=>([],1)
[[1,1,2],[2],[3]]=>([(0,1)],2)
[[1,1,3],[2],[3]]=>([(0,2),(2,1)],3)
[[1,2,2],[2],[3]]=>([(0,2),(2,1)],3)
[[1,2,3],[2],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,3,3],[2],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1],[2,2],[3]]=>([],1)
[[1,1],[2,3],[3]]=>([(0,1)],2)
[[1,2],[2,3],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,3,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,2,2,4]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,2,3,4]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,2,4,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,3,3,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,3,4,4]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,1,4,4,4]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,2,2,2,4]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,2,3,4]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,2,2,4,4]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,2,3,3,4]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,2,3,4,4]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,2,4,4,4]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,3,3,3,4]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,3,3,4,4]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,3,4,4,4]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,4,4,4,4]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[2,2,2,2,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
[[2,2,2,3,4]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,5),(3,16),(4,18),(5,17),(6,4),(6,20),(7,6),(7,19),(8,9),(8,13),(9,21),(10,22),(11,22),(12,14),(12,21),(13,15),(13,21),(14,10),(14,23),(15,11),(15,23),(16,8),(16,17),(16,19),(17,9),(17,12),(18,10),(18,11),(19,12),(19,13),(19,20),(20,14),(20,15),(20,18),(21,23),(23,22)],24)
[[2,2,2,4,4]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,20),(4,6),(4,20),(5,22),(6,21),(7,5),(7,24),(8,7),(8,23),(9,13),(9,17),(10,25),(11,25),(13,2),(13,26),(14,10),(14,27),(15,11),(15,27),(16,15),(16,26),(17,14),(17,26),(18,19),(19,12),(20,9),(20,21),(20,23),(21,13),(21,16),(22,10),(22,11),(23,16),(23,17),(23,24),(24,14),(24,15),(24,22),(25,12),(26,18),(26,27),(27,19),(27,25)],28)
[[2,2,3,3,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,19),(3,6),(3,19),(4,21),(5,22),(6,7),(6,24),(7,4),(7,23),(8,13),(8,18),(9,11),(9,15),(10,29),(11,25),(12,26),(13,27),(14,16),(14,25),(15,8),(15,20),(15,25),(16,12),(16,28),(17,10),(17,26),(18,10),(18,27),(19,9),(19,22),(19,24),(20,17),(20,18),(20,28),(21,12),(21,17),(22,11),(22,14),(23,16),(23,20),(23,21),(24,14),(24,15),(24,23),(25,13),(25,28),(26,29),(27,29),(28,26),(28,27)],30)
[[2,2,3,4,4]]=>([(0,1),(1,3),(1,4),(2,24),(3,6),(3,25),(4,8),(4,25),(5,27),(6,26),(7,5),(7,29),(8,7),(8,28),(9,13),(9,19),(10,21),(10,22),(11,34),(12,32),(13,2),(13,35),(14,31),(15,33),(16,14),(16,36),(17,15),(17,32),(18,16),(18,35),(19,10),(19,23),(19,35),(20,11),(20,31),(21,12),(21,30),(22,11),(22,30),(23,20),(23,22),(23,36),(24,12),(24,17),(25,9),(25,26),(25,28),(26,13),(26,18),(27,14),(27,20),(28,18),(28,19),(28,29),(29,16),(29,23),(29,27),(30,32),(30,34),(31,15),(31,34),(32,33),(34,33),(35,21),(35,24),(35,36),(36,17),(36,30),(36,31)],37)
[[2,2,4,4,4]]=>([(0,1),(1,4),(1,5),(2,29),(3,25),(4,7),(4,30),(5,8),(5,30),(6,9),(6,32),(7,6),(7,31),(8,28),(9,27),(10,23),(10,24),(11,17),(11,21),(12,36),(13,34),(14,35),(16,3),(16,39),(17,2),(17,37),(18,13),(18,38),(19,14),(19,39),(20,18),(20,37),(21,10),(21,26),(21,37),(22,12),(22,34),(23,16),(23,33),(24,12),(24,33),(25,15),(26,22),(26,24),(26,38),(27,13),(27,22),(28,17),(28,20),(29,16),(29,19),(30,11),(30,28),(30,31),(31,20),(31,21),(31,32),(32,18),(32,26),(32,27),(33,36),(33,39),(34,14),(34,36),(35,15),(36,35),(37,23),(37,29),(37,38),(38,19),(38,33),(38,34),(39,25),(39,35)],40)
[[2,3,3,3,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,6),(3,22),(4,25),(5,24),(6,7),(6,27),(7,4),(7,26),(8,15),(8,21),(9,13),(9,14),(10,11),(10,18),(11,28),(12,31),(13,29),(14,29),(15,30),(16,13),(16,33),(17,20),(17,28),(18,8),(18,23),(18,28),(19,16),(19,31),(20,12),(20,32),(21,9),(21,16),(21,30),(22,10),(22,24),(22,27),(23,19),(23,21),(23,32),(24,11),(24,17),(25,12),(25,19),(26,20),(26,23),(26,25),(27,17),(27,18),(27,26),(28,15),(28,32),(30,14),(30,33),(31,33),(32,30),(32,31),(33,29)],34)
[[2,3,3,4,4]]=>([(0,1),(1,3),(1,4),(2,28),(3,6),(3,29),(4,8),(4,29),(5,30),(6,31),(7,5),(7,33),(8,7),(8,32),(9,21),(9,24),(10,12),(10,22),(11,13),(11,23),(12,37),(13,2),(13,40),(14,34),(15,35),(16,39),(17,38),(18,14),(18,42),(19,18),(19,40),(20,12),(20,36),(21,15),(21,41),(22,17),(22,37),(23,9),(23,27),(23,40),(24,10),(24,20),(24,41),(25,16),(25,35),(26,20),(26,34),(27,24),(27,26),(27,42),(28,15),(28,25),(29,11),(29,31),(29,32),(30,14),(30,26),(31,13),(31,19),(32,19),(32,23),(32,33),(33,18),(33,27),(33,30),(34,16),(34,36),(35,17),(35,39),(36,37),(36,39),(37,38),(39,38),(40,21),(40,28),(40,42),(41,22),(41,35),(41,36),(42,25),(42,34),(42,41)],43)
[[2,3,4,4,4]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[2,4,4,4,4]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,21),(5,9),(5,37),(6,10),(6,37),(7,8),(7,39),(8,34),(9,7),(9,38),(10,33),(11,27),(11,29),(12,15),(12,31),(13,19),(13,28),(14,40),(15,41),(16,42),(17,43),(18,3),(18,49),(19,2),(19,46),(20,4),(20,43),(22,20),(22,45),(23,16),(23,49),(24,30),(24,40),(25,26),(25,46),(26,14),(26,48),(27,18),(27,47),(28,11),(28,32),(28,46),(29,12),(29,30),(29,47),(30,15),(30,44),(31,22),(31,41),(32,24),(32,29),(32,48),(33,19),(33,25),(34,14),(34,24),(35,17),(35,20),(36,18),(36,23),(37,13),(37,33),(37,38),(38,25),(38,28),(38,39),(39,26),(39,32),(39,34),(40,16),(40,44),(41,45),(42,17),(42,45),(43,21),(44,41),(44,42),(45,43),(46,27),(46,36),(46,48),(47,31),(47,44),(47,49),(48,23),(48,40),(48,47),(49,22),(49,35),(49,42)],50)
[[3,3,3,3,4]]=>([(0,1),(1,3),(1,4),(2,12),(3,6),(3,25),(4,7),(4,25),(5,26),(6,27),(7,8),(7,29),(8,5),(8,28),(9,13),(9,14),(10,15),(10,20),(11,16),(11,21),(13,35),(14,2),(14,35),(15,33),(16,34),(17,32),(18,19),(18,33),(19,17),(19,30),(20,11),(20,24),(20,33),(21,9),(21,22),(21,34),(22,14),(22,31),(23,22),(23,32),(24,21),(24,23),(24,30),(25,10),(25,27),(25,29),(26,17),(26,23),(27,15),(27,18),(28,19),(28,24),(28,26),(29,18),(29,20),(29,28),(30,32),(30,34),(31,35),(32,31),(33,16),(33,30),(34,13),(34,31),(35,12)],36)
[[3,3,3,4,4]]=>([(0,1),(1,4),(1,5),(2,33),(3,29),(4,7),(4,34),(5,8),(5,34),(6,9),(6,36),(7,6),(7,35),(8,32),(9,30),(10,23),(10,26),(11,18),(11,24),(12,19),(12,25),(13,38),(14,37),(15,40),(16,41),(18,3),(18,43),(19,2),(19,42),(20,14),(20,45),(21,18),(21,39),(22,20),(22,42),(23,13),(23,44),(24,15),(24,43),(25,10),(25,31),(25,42),(26,11),(26,21),(26,44),(27,21),(27,37),(28,16),(28,38),(29,17),(30,14),(30,27),(31,26),(31,27),(31,45),(32,19),(32,22),(33,13),(33,28),(34,12),(34,32),(34,35),(35,22),(35,25),(35,36),(36,20),(36,30),(36,31),(37,16),(37,39),(38,15),(38,41),(39,41),(39,43),(40,17),(41,40),(42,23),(42,33),(42,45),(43,29),(43,40),(44,24),(44,38),(44,39),(45,28),(45,37),(45,44)],46)
[[3,3,4,4,4]]=>([(0,1),(1,5),(1,6),(2,38),(3,37),(4,33),(5,9),(5,39),(6,10),(6,39),(7,8),(7,41),(8,35),(9,7),(9,40),(10,34),(11,27),(11,32),(12,19),(12,29),(13,20),(13,25),(14,45),(15,44),(17,43),(18,44),(19,4),(19,47),(20,3),(20,46),(21,2),(21,48),(22,23),(22,43),(23,19),(23,42),(24,26),(24,46),(25,11),(25,36),(25,46),(26,17),(26,50),(27,12),(27,23),(27,51),(28,16),(29,30),(29,47),(30,18),(30,49),(31,14),(31,48),(32,21),(32,51),(33,28),(34,20),(34,24),(35,17),(35,22),(36,22),(36,27),(36,50),(37,21),(37,31),(38,15),(38,18),(39,13),(39,34),(39,40),(40,24),(40,25),(40,41),(41,26),(41,35),(41,36),(42,45),(42,47),(43,14),(43,42),(44,16),(45,15),(45,49),(46,32),(46,37),(46,50),(47,33),(47,49),(48,30),(48,38),(48,45),(49,28),(49,44),(50,31),(50,43),(50,51),(51,29),(51,42),(51,48)],52)
[[3,4,4,4,4]]=>([(0,1),(1,6),(1,7),(2,41),(3,36),(4,40),(5,35),(6,10),(6,42),(7,11),(7,42),(8,9),(8,44),(9,38),(10,8),(10,43),(11,37),(12,29),(12,34),(13,20),(13,31),(14,21),(14,27),(15,47),(16,46),(18,54),(19,5),(19,54),(20,3),(20,49),(21,4),(21,48),(22,2),(22,50),(23,24),(23,46),(24,20),(24,45),(25,28),(25,48),(26,17),(27,12),(27,39),(27,48),(28,16),(28,52),(29,13),(29,24),(29,53),(30,26),(31,32),(31,49),(32,19),(32,51),(33,15),(33,50),(34,22),(34,53),(35,17),(36,30),(37,21),(37,25),(38,16),(38,23),(39,23),(39,29),(39,52),(40,22),(40,33),(41,18),(41,19),(42,14),(42,37),(42,43),(43,25),(43,27),(43,44),(44,28),(44,38),(44,39),(45,47),(45,49),(46,15),(46,45),(47,18),(47,51),(48,34),(48,40),(48,52),(49,36),(49,51),(50,32),(50,41),(50,47),(51,30),(51,54),(52,33),(52,46),(52,53),(53,31),(53,45),(53,50),(54,26),(54,35)],55)
[[4,4,4,4,4]]=>([(0,2),(2,7),(2,8),(3,42),(4,37),(5,41),(6,36),(7,11),(7,43),(8,12),(8,43),(9,10),(9,45),(10,39),(11,9),(11,44),(12,38),(13,30),(13,35),(14,21),(14,32),(15,22),(15,28),(16,48),(17,47),(18,55),(19,1),(20,6),(20,55),(21,4),(21,50),(22,5),(22,49),(23,3),(23,51),(24,26),(24,47),(25,19),(26,21),(26,46),(27,29),(27,49),(28,13),(28,40),(28,49),(29,17),(29,53),(30,14),(30,26),(30,54),(31,25),(32,33),(32,50),(33,20),(33,52),(34,16),(34,51),(35,23),(35,54),(36,19),(37,31),(38,22),(38,27),(39,17),(39,24),(40,24),(40,30),(40,53),(41,23),(41,34),(42,18),(42,20),(43,15),(43,38),(43,44),(44,27),(44,28),(44,45),(45,29),(45,39),(45,40),(46,48),(46,50),(47,16),(47,46),(48,18),(48,52),(49,35),(49,41),(49,53),(50,37),(50,52),(51,33),(51,42),(51,48),(52,31),(52,55),(53,34),(53,47),(53,54),(54,32),(54,46),(54,51),(55,25),(55,36)],56)
[[1,1,1,1],[4]]=>([(0,2),(2,1)],3)
[[1,1,1,2],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,4],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,4],[3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,1,4],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1,2,2],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,4],[2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,3],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,4],[3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,3,4],[2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,1,4,4],[2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,3,3],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,3,4],[3]]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
[[1,1,3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,4,4],[3]]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
[[1,1,4,4],[4]]=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
[[1,2,2,2],[4]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,2,4],[2]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,2,3],[4]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,2,4],[3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,2,3,4],[2]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,2,2,4],[4]]=>([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17)
[[1,2,4,4],[2]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,3,3],[4]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2,3,4],[3]]=>([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23)
[[1,3,3,4],[2]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,3,4],[4]]=>([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28)
[[1,2,4,4],[3]]=>([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26)
[[1,3,4,4],[2]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,2,4,4],[4]]=>([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28)
[[1,4,4,4],[2]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,3,3,3],[4]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,3,3,4],[3]]=>([(0,8),(1,12),(2,13),(2,14),(3,9),(4,10),(5,3),(5,16),(6,4),(6,16),(7,1),(7,11),(8,5),(8,6),(9,14),(9,15),(10,13),(10,15),(11,12),(13,17),(14,7),(14,17),(15,17),(16,2),(16,9),(16,10),(17,11)],18)
[[1,3,3,4],[4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30)
[[1,3,4,4],[3]]=>([(0,1),(1,4),(1,5),(2,8),(2,19),(3,16),(4,6),(4,20),(5,7),(5,20),(6,17),(7,18),(8,14),(9,12),(9,13),(11,21),(12,2),(12,21),(13,3),(13,21),(14,10),(15,10),(16,15),(17,11),(17,12),(18,11),(18,13),(19,14),(19,15),(20,9),(20,17),(20,18),(21,16),(21,19)],22)
[[1,3,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45)
[[1,4,4,4],[3]]=>([(0,1),(1,5),(1,6),(2,9),(2,21),(3,18),(4,14),(5,7),(5,22),(6,8),(6,22),(7,19),(8,20),(9,15),(10,12),(10,13),(11,23),(12,2),(12,23),(13,3),(13,23),(15,16),(16,14),(17,4),(17,16),(18,17),(19,11),(19,12),(20,11),(20,13),(21,15),(21,17),(22,10),(22,19),(22,20),(23,18),(23,21)],24)
[[1,4,4,4],[4]]=>([(0,2),(2,6),(2,7),(3,10),(3,22),(4,19),(5,15),(6,8),(6,23),(7,9),(7,23),(8,20),(9,21),(10,16),(11,13),(11,14),(12,24),(13,3),(13,24),(14,4),(14,24),(15,1),(16,17),(17,15),(18,5),(18,17),(19,18),(20,12),(20,13),(21,12),(21,14),(22,16),(22,18),(23,11),(23,20),(23,21),(24,19),(24,22)],25)
[[2,2,2,2],[4]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[2,2,2,3],[4]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[2,2,2,4],[3]]=>([(0,7),(0,8),(1,13),(2,11),(3,10),(3,11),(4,6),(4,10),(5,4),(6,1),(6,12),(7,5),(8,9),(9,2),(9,3),(10,12),(10,16),(11,16),(12,13),(12,15),(13,14),(15,14),(16,15)],17)
[[2,2,2,4],[4]]=>([(0,8),(0,9),(1,15),(2,12),(3,11),(3,12),(4,14),(5,7),(5,11),(6,5),(7,1),(7,13),(8,6),(9,10),(10,2),(10,3),(11,13),(11,19),(12,4),(12,19),(13,15),(13,20),(14,17),(15,18),(17,16),(18,16),(19,14),(19,20),(20,17),(20,18)],21)
[[2,2,3,3],[4]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[2,2,3,4],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,22),(5,8),(5,24),(6,11),(6,21),(7,10),(7,12),(7,22),(8,9),(8,25),(9,23),(10,17),(10,18),(11,15),(11,20),(12,18),(12,24),(13,27),(14,27),(15,26),(16,19),(17,21),(18,16),(19,14),(19,26),(20,13),(20,26),(21,15),(22,6),(22,17),(23,13),(23,14),(24,16),(24,25),(25,19),(25,20),(25,23),(26,27)],28)
[[2,2,3,4],[4]]=>([(0,2),(0,3),(1,8),(1,11),(2,1),(3,5),(3,7),(4,33),(5,25),(6,23),(7,13),(7,25),(8,24),(9,16),(9,22),(10,12),(10,30),(10,32),(11,24),(11,31),(12,17),(12,18),(13,10),(13,28),(13,31),(14,35),(15,35),(16,34),(17,19),(18,20),(19,14),(20,15),(21,15),(21,34),(22,14),(22,34),(23,9),(23,27),(24,4),(24,26),(25,6),(25,28),(26,29),(26,33),(27,19),(27,22),(28,23),(28,32),(29,20),(29,21),(30,18),(30,29),(31,26),(31,30),(32,17),(32,27),(33,16),(33,21),(34,35)],36)
[[2,2,4,4],[3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,26),(5,24),(6,9),(6,28),(7,11),(7,25),(8,12),(8,13),(8,26),(9,10),(9,29),(10,27),(11,21),(11,22),(12,20),(12,23),(13,23),(13,28),(14,30),(15,30),(17,19),(18,16),(19,15),(19,31),(20,25),(21,24),(21,31),(22,14),(22,31),(23,17),(24,18),(25,5),(25,21),(26,7),(26,20),(27,14),(27,15),(28,17),(28,29),(29,19),(29,22),(29,27),(30,16),(31,18),(31,30)],32)
[[2,2,4,4],[4]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,9),(4,28),(5,25),(6,27),(7,10),(7,31),(8,13),(8,26),(9,12),(9,14),(9,28),(10,11),(10,32),(11,29),(12,20),(12,21),(13,23),(13,24),(14,21),(14,31),(16,34),(17,34),(18,22),(19,15),(20,26),(21,18),(22,17),(22,33),(23,27),(23,33),(24,16),(24,33),(25,15),(26,6),(26,23),(27,5),(27,30),(28,8),(28,20),(29,16),(29,17),(30,19),(30,25),(31,18),(31,32),(32,22),(32,24),(32,29),(33,30),(33,34),(34,19)],35)
[[2,3,3,3],[4]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[2,3,3,4],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,9),(4,33),(5,8),(5,32),(6,15),(6,28),(7,13),(7,14),(7,33),(8,10),(8,34),(9,29),(10,30),(11,12),(11,21),(11,23),(12,16),(12,25),(13,26),(13,31),(14,26),(14,32),(15,19),(15,20),(16,35),(17,38),(18,37),(19,36),(20,36),(21,6),(21,38),(22,24),(23,16),(23,38),(24,18),(24,35),(25,27),(25,35),(26,22),(27,19),(27,37),(28,20),(29,17),(29,21),(30,18),(30,27),(31,17),(31,23),(32,22),(32,34),(33,11),(33,29),(33,31),(34,24),(34,25),(34,30),(35,37),(37,36),(38,28)],39)
[[2,3,3,4],[4]]=>([(0,2),(0,3),(1,6),(1,11),(2,7),(2,8),(3,1),(4,26),(5,34),(6,27),(7,24),(8,10),(8,24),(9,17),(9,18),(10,14),(10,35),(10,36),(11,27),(11,36),(12,16),(12,28),(13,22),(13,23),(14,13),(14,29),(14,30),(15,39),(16,37),(17,38),(18,38),(19,25),(20,15),(21,15),(21,37),(22,20),(23,19),(24,4),(24,35),(25,17),(25,39),(26,12),(26,32),(27,5),(27,31),(28,9),(28,25),(28,37),(29,22),(29,33),(30,23),(30,32),(31,33),(31,34),(32,19),(32,28),(33,20),(33,21),(34,16),(34,21),(35,26),(35,30),(36,29),(36,31),(37,18),(37,39),(39,38)],40)
[[2,3,4,4],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,6),(4,14),(4,16),(4,40),(5,15),(5,38),(6,9),(6,40),(7,8),(7,39),(8,10),(8,41),(9,36),(10,37),(11,31),(11,32),(12,13),(12,22),(12,33),(13,26),(13,28),(14,25),(14,39),(15,20),(15,34),(16,25),(16,35),(17,42),(18,46),(19,43),(20,44),(21,43),(22,5),(22,46),(23,30),(24,19),(25,23),(26,31),(26,45),(27,21),(28,29),(28,45),(29,20),(29,42),(30,17),(30,45),(31,27),(32,24),(33,11),(33,26),(33,46),(34,19),(34,44),(35,18),(35,33),(36,18),(36,22),(37,17),(37,29),(38,24),(38,34),(39,23),(39,41),(40,12),(40,35),(40,36),(41,28),(41,30),(41,37),(42,21),(42,44),(44,43),(45,27),(45,42),(46,32),(46,38)],47)
[[2,3,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,11),(2,8),(2,9),(3,38),(4,51),(5,52),(6,40),(7,16),(7,39),(8,42),(9,19),(9,42),(10,41),(11,17),(11,18),(11,41),(12,23),(12,32),(13,24),(13,33),(14,15),(14,48),(14,53),(15,26),(15,47),(16,35),(16,36),(17,28),(17,37),(18,37),(18,45),(19,14),(19,43),(19,45),(20,57),(21,57),(22,59),(23,56),(24,58),(25,55),(26,30),(27,25),(27,59),(28,39),(29,25),(29,58),(30,34),(31,20),(32,21),(32,56),(33,12),(33,34),(33,58),(34,23),(34,55),(35,40),(35,54),(36,22),(36,54),(37,4),(37,46),(38,13),(38,44),(39,6),(39,35),(40,5),(40,50),(41,7),(41,28),(42,3),(42,43),(43,38),(43,48),(44,30),(44,33),(45,46),(45,53),(46,49),(46,51),(47,22),(47,27),(48,26),(48,44),(49,27),(49,29),(49,54),(50,31),(50,52),(51,24),(51,29),(52,20),(52,21),(53,36),(53,47),(53,49),(54,50),(54,59),(55,56),(56,57),(58,32),(58,55),(59,31)],60)
[[2,4,4,4],[3]]=>([(0,2),(0,3),(1,8),(2,1),(3,5),(3,7),(4,37),(5,15),(5,17),(5,43),(6,16),(6,41),(7,10),(7,43),(8,9),(8,42),(9,11),(9,44),(10,39),(11,40),(12,31),(12,32),(13,14),(13,23),(13,33),(14,26),(14,28),(15,25),(15,42),(16,20),(16,35),(17,25),(17,38),(18,45),(19,49),(20,47),(22,46),(23,6),(23,49),(24,30),(25,24),(26,31),(26,48),(27,22),(28,29),(28,48),(29,20),(29,45),(30,18),(30,48),(31,27),(32,36),(33,12),(33,26),(33,49),(34,37),(34,46),(35,34),(35,47),(36,4),(36,34),(37,21),(38,19),(38,33),(39,19),(39,23),(40,18),(40,29),(41,35),(41,36),(42,24),(42,44),(43,13),(43,38),(43,39),(44,28),(44,30),(44,40),(45,22),(45,47),(46,21),(47,46),(48,27),(48,45),(49,32),(49,41)],50)
[[2,4,4,4],[4]]=>([(0,2),(0,3),(1,9),(2,1),(3,5),(3,8),(4,18),(4,44),(5,12),(5,45),(6,39),(7,24),(8,16),(8,17),(8,45),(9,11),(9,43),(10,42),(11,10),(11,46),(12,41),(13,29),(13,37),(14,15),(14,23),(14,34),(15,30),(15,32),(16,26),(16,43),(17,26),(17,40),(18,20),(18,27),(19,48),(20,47),(21,51),(22,50),(23,4),(23,50),(25,33),(26,25),(27,31),(27,47),(28,20),(28,48),(29,35),(30,29),(30,49),(31,39),(31,51),(32,28),(32,49),(33,19),(33,49),(34,13),(34,30),(34,50),(35,21),(36,24),(37,38),(38,6),(38,31),(39,7),(39,36),(40,22),(40,34),(41,22),(41,23),(42,19),(42,28),(43,25),(43,46),(44,27),(44,38),(45,14),(45,40),(45,41),(46,32),(46,33),(46,42),(47,51),(48,21),(48,47),(49,35),(49,48),(50,37),(50,44),(51,36)],52)
[[3,3,3,3],[4]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[3,3,3,4],[4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,38),(5,30),(6,28),(7,20),(8,15),(8,30),(9,29),(10,18),(10,19),(11,14),(11,35),(11,37),(12,29),(12,36),(13,16),(13,26),(14,21),(14,22),(15,11),(15,33),(15,36),(16,39),(17,41),(18,40),(19,7),(19,40),(21,23),(22,24),(23,27),(24,17),(25,17),(25,39),(26,10),(26,27),(26,39),(27,19),(27,41),(28,13),(28,32),(29,4),(29,31),(30,6),(30,33),(31,34),(31,38),(32,23),(32,26),(33,28),(33,37),(34,24),(34,25),(35,22),(35,34),(36,31),(36,35),(37,21),(37,32),(38,16),(38,25),(39,18),(39,41),(40,20),(41,40)],42)
[[3,3,4,4],[4]]=>([(0,1),(0,2),(1,11),(1,12),(2,9),(2,10),(3,41),(4,55),(5,43),(6,54),(7,40),(8,17),(8,42),(9,45),(10,20),(10,45),(11,44),(12,18),(12,19),(12,44),(13,22),(13,35),(14,27),(14,34),(15,16),(15,51),(15,56),(16,28),(16,49),(17,37),(17,38),(18,29),(18,39),(19,39),(19,48),(20,15),(20,46),(20,48),(21,61),(22,60),(23,59),(24,58),(25,59),(27,7),(27,62),(28,30),(29,42),(30,36),(31,24),(31,60),(32,23),(33,24),(33,61),(34,25),(34,62),(35,14),(35,36),(35,60),(36,27),(36,58),(37,43),(37,57),(38,21),(38,57),(39,6),(39,50),(40,26),(41,13),(41,47),(42,5),(42,37),(43,4),(43,53),(44,8),(44,29),(45,3),(45,46),(46,41),(46,51),(47,30),(47,35),(48,50),(48,56),(49,21),(49,33),(50,52),(50,54),(51,28),(51,47),(52,31),(52,33),(52,57),(53,32),(53,55),(54,22),(54,31),(55,23),(55,25),(56,38),(56,49),(56,52),(57,53),(57,61),(58,62),(59,26),(60,34),(60,58),(61,32),(62,40),(62,59)],63)
[[3,4,4,4],[4]]=>([(0,1),(0,2),(1,12),(1,13),(2,10),(2,11),(3,71),(4,24),(4,72),(5,58),(6,57),(7,70),(8,56),(9,55),(10,59),(11,25),(11,59),(12,22),(12,23),(12,73),(13,14),(13,73),(14,64),(15,49),(15,54),(16,32),(16,45),(17,33),(17,51),(18,20),(18,34),(18,46),(19,21),(19,69),(19,74),(20,36),(20,39),(21,35),(21,66),(22,53),(22,63),(23,53),(23,65),(24,30),(24,37),(25,19),(25,62),(25,65),(26,83),(27,83),(29,76),(30,77),(31,78),(32,79),(33,6),(33,82),(34,4),(34,78),(35,40),(36,54),(36,75),(37,41),(37,77),(38,33),(38,76),(39,42),(39,75),(40,38),(41,58),(41,81),(42,30),(42,80),(43,29),(43,79),(44,29),(44,80),(45,17),(45,38),(45,79),(46,15),(46,36),(46,78),(47,55),(48,28),(49,52),(50,27),(50,81),(51,26),(51,82),(52,5),(52,41),(53,7),(53,67),(54,3),(54,61),(55,28),(56,16),(56,60),(57,48),(58,9),(58,47),(59,8),(59,62),(60,40),(60,45),(61,50),(61,71),(62,56),(62,69),(63,31),(63,46),(64,31),(64,34),(65,67),(65,74),(66,42),(66,44),(67,68),(67,70),(68,43),(68,44),(68,75),(69,35),(69,60),(70,32),(70,43),(71,26),(71,27),(72,37),(72,52),(73,18),(73,63),(73,64),(74,39),(74,66),(74,68),(75,61),(75,80),(76,82),(77,81),(78,49),(78,72),(79,51),(79,76),(80,50),(80,77),(81,47),(82,57),(82,83),(83,48)],84)
[[1,1,1],[2,4]]=>([(0,2),(2,1)],3)
[[1,1,1],[3,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1],[4,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2],[2,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,4],[2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2],[3,4]]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[[1,1,3],[2,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,4],[2,3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,2],[4,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,1,4],[2,4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1,3],[3,4]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,4],[3,3]]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[[1,1,3],[4,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[1,1,4],[3,4]]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
[[1,1,4],[4,4]]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
[[1,2,2],[2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,2],[3,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,2,3],[2,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2,4],[2,3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,2,2],[4,4]]=>([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13)
[[1,2,4],[2,4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,2,3],[3,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[1,2,4],[3,3]]=>([(0,6),(0,7),(1,11),(1,12),(2,9),(3,10),(4,2),(5,1),(5,9),(5,10),(6,4),(7,8),(8,3),(8,5),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15)
[[1,3,3],[2,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2,3],[4,4]]=>([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19)
[[1,2,4],[3,4]]=>([(0,7),(0,8),(1,16),(2,11),(3,15),(4,10),(4,12),(5,2),(6,4),(6,11),(6,16),(7,9),(8,5),(9,1),(9,6),(10,15),(10,17),(11,12),(11,13),(12,17),(13,17),(15,14),(16,3),(16,10),(16,13),(17,14)],18)
[[1,3,4],[2,4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,2,4],[4,4]]=>([(0,8),(0,9),(1,14),(2,18),(3,17),(4,12),(4,15),(5,11),(6,5),(7,4),(7,11),(7,17),(8,10),(9,6),(10,3),(10,7),(11,15),(11,16),(12,18),(12,19),(13,14),(15,19),(16,19),(17,2),(17,12),(17,16),(18,1),(18,13),(19,13)],20)
[[1,3,3],[3,4]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,3,3],[4,4]]=>([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20)
[[1,3,4],[3,4]]=>([(0,10),(0,12),(1,20),(2,21),(3,13),(3,21),(4,13),(4,14),(5,17),(6,15),(7,16),(8,4),(8,20),(9,6),(9,19),(10,11),(11,2),(11,3),(12,1),(12,8),(13,18),(14,16),(16,9),(17,19),(18,17),(19,15),(20,7),(20,14),(21,5),(21,18)],22)
[[1,3,4],[4,4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,7),(4,26),(5,27),(6,17),(7,14),(7,27),(8,10),(8,25),(9,29),(10,19),(11,20),(11,24),(12,13),(12,28),(12,29),(13,16),(13,21),(14,18),(14,28),(16,30),(17,8),(18,17),(19,15),(20,25),(21,24),(21,30),(22,20),(22,30),(23,26),(24,4),(24,23),(25,19),(26,15),(27,6),(27,18),(28,16),(28,22),(29,11),(29,21),(29,22),(30,23)],31)
[[2,2,2],[3,4]]=>([(0,6),(1,9),(2,7),(3,8),(4,7),(4,8),(5,1),(5,10),(6,2),(6,3),(6,4),(7,11),(8,5),(8,11),(10,9),(11,10)],12)
[[2,2,2],[4,4]]=>([(0,1),(1,4),(1,5),(1,7),(2,11),(3,6),(3,15),(4,12),(5,13),(6,10),(7,12),(7,13),(9,8),(10,8),(11,9),(12,2),(12,14),(13,3),(13,14),(14,11),(14,15),(15,9),(15,10)],16)
[[2,2,3],[3,4]]=>([(0,8),(1,12),(2,13),(3,10),(3,11),(4,9),(4,10),(5,9),(5,11),(6,1),(7,2),(7,14),(8,3),(8,4),(8,5),(9,15),(10,6),(11,7),(11,15),(12,16),(13,16),(14,12),(14,13),(15,14)],17)
[[2,2,4],[3,3]]=>([(0,9),(0,11),(1,12),(2,13),(3,14),(4,17),(5,15),(5,18),(6,3),(6,12),(7,5),(7,13),(7,14),(8,4),(9,10),(10,2),(10,7),(11,1),(11,6),(12,8),(13,15),(13,19),(14,18),(14,19),(15,20),(17,16),(18,17),(18,20),(19,20),(20,16)],21)
[[2,2,3],[4,4]]=>([(0,2),(1,9),(2,6),(2,7),(2,8),(3,20),(4,5),(4,21),(5,18),(6,13),(6,16),(7,13),(7,17),(8,16),(8,17),(9,12),(9,15),(10,23),(11,23),(12,22),(13,1),(14,11),(14,22),(15,10),(15,22),(16,3),(16,19),(17,4),(17,19),(18,10),(18,11),(19,20),(19,21),(20,12),(20,14),(21,14),(21,15),(21,18),(22,23)],24)
[[2,2,4],[3,4]]=>([(0,10),(0,12),(1,13),(2,23),(3,15),(4,20),(5,19),(6,14),(6,21),(7,3),(7,13),(8,6),(8,15),(8,23),(9,4),(10,11),(11,2),(11,8),(12,1),(12,7),(13,9),(14,19),(14,24),(15,16),(15,21),(16,24),(17,22),(18,22),(19,18),(20,17),(21,20),(21,24),(23,5),(23,14),(23,16),(24,17),(24,18)],25)
[[2,2,4],[4,4]]=>([(0,11),(0,13),(1,14),(2,25),(3,26),(4,17),(5,21),(6,18),(7,15),(7,22),(8,4),(8,14),(9,7),(9,17),(9,26),(10,5),(11,12),(12,3),(12,9),(13,1),(13,8),(14,10),(15,25),(15,27),(16,18),(16,23),(17,19),(17,22),(18,24),(19,27),(20,23),(21,20),(22,21),(22,27),(23,24),(25,6),(25,16),(26,2),(26,15),(26,19),(27,16),(27,20)],28)
[[2,3,3],[3,4]]=>([(0,11),(1,12),(1,13),(2,12),(2,14),(3,15),(4,19),(5,16),(6,17),(7,4),(7,13),(7,14),(8,3),(9,5),(9,20),(10,6),(10,18),(11,1),(11,2),(11,7),(12,21),(13,9),(13,21),(14,10),(14,19),(16,22),(17,22),(18,8),(19,18),(20,16),(20,17),(21,20),(22,15)],23)
[[2,3,3],[4,4]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,22),(4,6),(4,23),(5,15),(6,21),(7,13),(7,18),(8,13),(8,19),(9,18),(9,19),(10,14),(10,16),(11,25),(12,25),(13,1),(14,24),(16,11),(16,24),(17,12),(17,24),(18,3),(18,20),(19,4),(19,20),(20,22),(20,23),(21,11),(21,12),(22,14),(22,17),(23,16),(23,17),(23,21),(24,5),(24,25),(25,15)],26)
[[2,3,4],[3,4]]=>([(0,2),(0,3),(1,4),(1,15),(2,1),(3,9),(3,10),(3,11),(4,41),(5,6),(5,18),(6,22),(7,13),(7,39),(8,14),(8,25),(9,36),(9,38),(10,17),(10,37),(10,38),(11,36),(11,37),(12,33),(12,34),(13,32),(13,35),(14,20),(14,21),(15,16),(15,40),(15,41),(16,26),(16,30),(17,31),(17,40),(18,8),(19,42),(20,42),(21,42),(22,24),(23,39),(24,21),(25,20),(26,33),(26,43),(27,19),(28,19),(29,34),(29,43),(30,32),(30,43),(31,18),(32,27),(33,28),(34,25),(35,24),(36,23),(37,7),(37,23),(38,5),(38,31),(39,22),(39,35),(40,29),(40,30),(41,12),(41,26),(41,29),(43,27),(43,28)],44)
[[2,3,4],[4,4]]=>([(0,2),(0,3),(1,6),(1,16),(2,1),(3,10),(3,11),(3,15),(4,43),(5,7),(5,21),(6,45),(7,31),(8,14),(8,23),(9,12),(9,41),(10,38),(10,40),(11,38),(11,39),(12,34),(12,35),(13,33),(13,36),(14,22),(14,37),(15,18),(15,39),(15,40),(16,17),(16,44),(16,45),(17,27),(17,28),(18,25),(18,44),(19,47),(20,47),(21,8),(22,46),(23,37),(24,22),(25,21),(26,33),(26,48),(27,36),(27,48),(28,34),(28,48),(29,32),(30,41),(31,24),(32,20),(32,46),(33,23),(34,29),(35,24),(36,4),(36,42),(37,19),(37,46),(38,30),(39,9),(39,30),(40,5),(40,25),(41,31),(41,35),(42,32),(42,43),(43,19),(43,20),(44,26),(44,28),(45,13),(45,26),(45,27),(46,47),(48,29),(48,42)],49)
[[3,3,3],[4,4]]=>([(0,3),(1,11),(3,8),(3,9),(3,10),(4,23),(5,7),(5,24),(6,16),(7,22),(8,14),(8,19),(9,14),(9,20),(10,19),(10,20),(11,15),(11,17),(12,26),(13,26),(14,1),(15,25),(16,2),(17,12),(17,25),(18,13),(18,25),(19,4),(19,21),(20,5),(20,21),(21,23),(21,24),(22,12),(22,13),(23,15),(23,18),(24,17),(24,18),(24,22),(25,6),(25,26),(26,16)],27)
[[3,3,4],[4,4]]=>([(0,2),(0,3),(1,7),(1,19),(2,1),(3,12),(3,13),(3,18),(4,50),(5,49),(6,27),(7,53),(8,26),(9,15),(9,54),(10,17),(10,24),(11,16),(11,30),(12,45),(12,46),(13,44),(13,46),(14,39),(14,41),(15,40),(15,52),(16,28),(16,43),(17,29),(17,42),(18,21),(18,44),(18,45),(19,20),(19,51),(19,53),(20,33),(20,34),(21,36),(21,51),(22,58),(23,58),(24,11),(25,57),(26,6),(28,55),(29,56),(30,43),(31,28),(31,57),(32,39),(32,59),(33,41),(33,59),(34,40),(34,59),(35,38),(36,24),(37,25),(37,56),(38,22),(38,55),(39,30),(40,35),(41,4),(41,47),(42,31),(42,56),(43,23),(43,55),(44,10),(44,36),(45,9),(45,48),(46,5),(46,48),(47,38),(47,50),(48,49),(48,54),(49,29),(49,37),(50,22),(50,23),(51,32),(51,34),(52,25),(52,31),(53,14),(53,32),(53,33),(54,37),(54,42),(54,52),(55,58),(56,8),(56,57),(57,26),(58,27),(59,35),(59,47)],60)
[[1,1,1],[2],[4]]=>([(0,1)],2)
[[1,1,1],[3],[4]]=>([(0,2),(2,1)],3)
[[1,1,2],[2],[4]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,2],[3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,3],[2],[4]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[[1,1,4],[2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,4],[2],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3],[3],[4]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,4],[3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,2,2],[2],[4]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,2,2],[3],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3],[2],[4]]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
[[1,2,4],[2],[3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,4],[2],[4]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,3],[3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,3,3],[2],[4]]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
[[1,3,4],[2],[3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2,4],[3],[4]]=>([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15)
[[1,3,4],[2],[4]]=>([(0,5),(0,8),(1,14),(2,9),(2,10),(3,13),(4,11),(5,15),(6,7),(6,10),(7,3),(7,12),(8,2),(8,6),(8,15),(9,14),(10,12),(12,13),(13,11),(14,4),(15,1),(15,9)],16)
[[1,4,4],[2],[3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,4,4],[2],[4]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,3,3],[3],[4]]=>([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10)
[[1,3,4],[3],[4]]=>([(0,5),(0,9),(1,10),(1,11),(2,14),(3,12),(4,13),(5,17),(6,7),(6,11),(7,2),(7,15),(8,3),(8,16),(9,1),(9,6),(9,17),(10,13),(11,15),(13,8),(14,16),(15,14),(16,12),(17,4),(17,10)],18)
[[1,4,4],[3],[4]]=>([(0,7),(0,12),(1,13),(1,22),(2,17),(3,18),(4,15),(5,16),(6,19),(7,21),(8,9),(8,22),(9,6),(9,14),(10,4),(11,3),(11,20),(12,1),(12,8),(12,21),(13,16),(14,17),(14,19),(16,11),(17,10),(18,15),(19,20),(20,18),(21,5),(21,13),(22,2),(22,14)],23)
[[2,2,2],[3],[4]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,3],[3],[4]]=>([(0,3),(0,8),(1,10),(2,9),(3,11),(4,7),(5,4),(6,2),(7,1),(7,9),(8,5),(8,11),(9,10),(11,6)],12)
[[2,2,4],[3],[4]]=>([(0,10),(0,11),(1,14),(2,12),(3,12),(3,13),(4,9),(5,2),(6,4),(7,5),(8,3),(9,1),(9,13),(10,6),(10,17),(11,7),(11,17),(12,15),(13,14),(13,15),(14,16),(15,16),(17,8)],18)
[[2,3,3],[3],[4]]=>([(0,10),(0,11),(1,15),(2,14),(3,12),(4,13),(5,9),(6,5),(7,3),(7,17),(8,1),(9,2),(9,12),(10,6),(10,16),(11,4),(11,16),(12,14),(13,17),(14,15),(16,7),(16,13),(17,8)],18)
[[2,3,4],[3],[4]]=>([(0,13),(0,14),(1,15),(1,18),(2,16),(2,17),(3,24),(4,15),(4,21),(5,19),(5,20),(6,7),(7,3),(7,18),(8,6),(9,11),(9,17),(10,1),(10,27),(11,4),(11,23),(12,5),(12,22),(13,8),(13,28),(14,2),(14,9),(14,28),(15,25),(16,27),(17,23),(18,24),(18,25),(19,29),(20,29),(21,22),(22,19),(23,21),(24,20),(24,26),(25,26),(26,29),(27,12),(28,10),(28,16)],30)
[[2,4,4],[3],[4]]=>([(0,16),(0,17),(1,19),(1,20),(2,18),(2,21),(3,27),(4,28),(5,19),(5,26),(6,22),(6,29),(7,34),(8,12),(9,8),(10,1),(10,32),(11,15),(11,21),(12,4),(12,20),(13,3),(14,6),(14,24),(15,5),(15,25),(16,9),(16,33),(17,2),(17,11),(17,33),(18,32),(19,30),(20,28),(20,30),(21,7),(21,25),(22,35),(24,29),(25,26),(25,34),(26,24),(27,23),(28,22),(28,31),(29,27),(29,35),(30,31),(31,35),(32,14),(33,10),(33,18),(34,13),(35,23)],36)
[[1,1],[2,2],[4]]=>([(0,1)],2)
[[1,1],[2,3],[4]]=>([(0,2),(2,1)],3)
[[1,1],[2,4],[3]]=>([(0,2),(2,1)],3)
[[1,1],[2,4],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1],[3,3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1],[3,4],[4]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,2],[2,3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,2],[2,4],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,2],[2,4],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2],[3,3],[4]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,3],[2,4],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2],[3,4],[4]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,3],[2,4],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,3],[3,4],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[2,2],[3,3],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[2,2],[3,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[2,3],[3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1],[2],[3],[4]]=>([],1)
[[1,2],[2],[3],[4]]=>([(0,1)],2)
[[1,3],[2],[3],[4]]=>([(0,2),(2,1)],3)
[[1,4],[2],[3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,5]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,1,3,5]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,1,4,5]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,1,5,5]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,2,2,5]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,1,2,3,5]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,1,2,4,5]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,1,2,5,5]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,1,3,3,5]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,1,3,4,5]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,1,3,5,5]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,1,4,4,5]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,1,4,5,5]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,1,5,5,5]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,2,2,2,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,14),(3,6),(3,14),(4,11),(5,12),(6,4),(6,15),(7,5),(7,16),(9,8),(10,8),(11,9),(12,10),(13,9),(13,10),(14,15),(14,16),(15,11),(15,13),(16,12),(16,13)],17)
[[1,2,2,3,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,17),(3,6),(3,17),(4,18),(5,19),(6,4),(6,20),(7,5),(7,21),(8,12),(8,13),(9,25),(10,23),(11,24),(12,10),(12,22),(13,11),(13,22),(14,9),(14,23),(15,9),(15,24),(16,14),(16,15),(16,22),(17,8),(17,20),(17,21),(18,10),(18,14),(19,11),(19,15),(20,12),(20,16),(20,18),(21,13),(21,16),(21,19),(22,23),(22,24),(23,25),(24,25)],26)
[[1,2,2,4,5]]=>([(0,1),(1,2),(1,3),(2,6),(2,21),(3,7),(3,21),(4,22),(5,23),(6,5),(6,24),(7,4),(7,25),(8,15),(8,16),(9,11),(9,14),(10,30),(11,28),(12,27),(13,29),(14,13),(14,28),(15,12),(15,31),(16,9),(16,17),(16,31),(17,11),(17,26),(18,10),(18,26),(19,10),(19,27),(20,18),(20,19),(20,31),(21,8),(21,24),(21,25),(22,17),(22,18),(23,12),(23,19),(24,15),(24,20),(24,23),(25,16),(25,20),(25,22),(26,28),(26,30),(27,13),(27,30),(28,29),(30,29),(31,14),(31,26),(31,27)],32)
[[1,2,2,5,5]]=>([(0,1),(1,3),(1,4),(2,16),(3,7),(3,24),(4,8),(4,24),(5,25),(6,26),(7,6),(7,27),(8,5),(8,28),(9,18),(9,19),(10,12),(10,17),(11,32),(12,2),(12,34),(13,30),(14,31),(16,15),(17,14),(17,34),(18,13),(18,33),(19,10),(19,20),(19,33),(20,12),(20,29),(21,11),(21,29),(22,11),(22,30),(23,21),(23,22),(23,33),(24,9),(24,27),(24,28),(25,20),(25,21),(26,13),(26,22),(27,18),(27,23),(27,26),(28,19),(28,23),(28,25),(29,32),(29,34),(30,14),(30,32),(31,15),(32,31),(33,17),(33,29),(33,30),(34,16),(34,31)],35)
[[1,2,3,3,5]]=>([(0,1),(1,2),(1,3),(2,6),(2,21),(3,7),(3,21),(4,22),(5,23),(6,5),(6,24),(7,4),(7,25),(8,15),(8,16),(9,11),(9,14),(10,30),(11,28),(12,27),(13,29),(14,13),(14,28),(15,12),(15,31),(16,9),(16,17),(16,31),(17,11),(17,26),(18,10),(18,26),(19,10),(19,27),(20,18),(20,19),(20,31),(21,8),(21,24),(21,25),(22,17),(22,18),(23,12),(23,19),(24,15),(24,20),(24,23),(25,16),(25,20),(25,22),(26,28),(26,30),(27,13),(27,30),(28,29),(30,29),(31,14),(31,26),(31,27)],32)
[[1,2,3,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,23),(3,6),(3,23),(4,27),(5,28),(6,4),(6,29),(7,5),(7,30),(8,15),(8,25),(9,16),(9,26),(10,21),(10,22),(11,35),(11,36),(12,35),(12,37),(13,36),(13,38),(14,34),(15,32),(16,33),(17,14),(17,39),(18,14),(18,40),(19,15),(19,39),(20,16),(20,40),(21,8),(21,19),(21,31),(22,9),(22,20),(22,31),(23,10),(23,29),(23,30),(24,17),(24,18),(24,31),(25,11),(25,13),(25,32),(26,11),(26,12),(26,33),(27,17),(27,19),(28,18),(28,20),(29,21),(29,24),(29,27),(30,22),(30,24),(30,28),(31,25),(31,26),(31,39),(31,40),(32,35),(32,38),(33,36),(33,37),(34,37),(34,38),(35,41),(36,41),(37,41),(38,41),(39,12),(39,32),(39,34),(40,13),(40,33),(40,34)],42)
[[1,2,3,5,5]]=>([(0,1),(1,3),(1,4),(2,28),(3,7),(3,26),(4,8),(4,26),(5,31),(6,32),(7,5),(7,33),(8,6),(8,34),(9,24),(9,25),(10,19),(10,29),(11,18),(11,30),(12,41),(12,42),(13,40),(13,45),(14,40),(14,42),(15,39),(16,39),(17,35),(18,38),(19,2),(19,37),(20,17),(20,43),(21,17),(21,44),(22,19),(22,44),(23,18),(23,43),(24,11),(24,23),(24,36),(25,10),(25,22),(25,36),(26,9),(26,33),(26,34),(27,20),(27,21),(27,36),(28,15),(28,16),(29,13),(29,14),(29,37),(30,12),(30,14),(30,38),(31,20),(31,23),(32,21),(32,22),(33,24),(33,27),(33,31),(34,25),(34,27),(34,32),(35,41),(35,45),(36,29),(36,30),(36,43),(36,44),(37,28),(37,42),(37,45),(38,40),(38,41),(40,46),(41,46),(42,15),(42,46),(43,13),(43,35),(43,38),(44,12),(44,35),(44,37),(45,16),(45,46),(46,39)],47)
[[1,2,4,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,6),(3,26),(4,30),(5,31),(6,4),(6,32),(7,5),(7,33),(8,16),(8,17),(9,18),(9,28),(10,19),(10,29),(11,24),(11,25),(12,39),(12,41),(13,40),(13,42),(14,8),(14,41),(14,42),(15,34),(16,38),(17,38),(18,36),(19,37),(20,15),(20,43),(21,15),(21,44),(22,18),(22,43),(23,19),(23,44),(24,9),(24,22),(24,35),(25,10),(25,23),(25,35),(26,11),(26,32),(26,33),(27,20),(27,21),(27,35),(28,13),(28,14),(28,36),(29,12),(29,14),(29,37),(30,20),(30,22),(31,21),(31,23),(32,24),(32,27),(32,30),(33,25),(33,27),(33,31),(34,39),(34,40),(35,28),(35,29),(35,43),(35,44),(36,40),(36,41),(37,39),(37,42),(39,45),(40,45),(41,16),(41,45),(42,17),(42,45),(43,12),(43,34),(43,36),(44,13),(44,34),(44,37),(45,38)],46)
[[1,2,4,5,5]]=>([(0,1),(1,3),(1,4),(2,32),(3,7),(3,30),(4,8),(4,30),(5,35),(6,36),(7,5),(7,37),(8,6),(8,38),(9,19),(9,29),(10,26),(10,27),(11,20),(11,33),(12,21),(12,34),(13,46),(14,48),(14,51),(15,45),(15,47),(16,9),(16,45),(16,48),(17,44),(18,39),(19,43),(20,41),(21,2),(21,42),(22,18),(22,49),(23,18),(23,50),(24,20),(24,50),(25,21),(25,49),(26,12),(26,25),(26,40),(27,11),(27,24),(27,40),(28,13),(28,44),(29,13),(29,43),(30,10),(30,37),(30,38),(31,22),(31,23),(31,40),(32,17),(32,28),(33,15),(33,16),(33,41),(34,14),(34,16),(34,42),(35,22),(35,25),(36,23),(36,24),(37,26),(37,31),(37,35),(38,27),(38,31),(38,36),(39,47),(39,51),(40,33),(40,34),(40,49),(40,50),(41,47),(41,48),(42,32),(42,45),(42,51),(43,46),(44,46),(45,28),(45,29),(45,52),(47,52),(48,19),(48,52),(49,15),(49,39),(49,42),(50,14),(50,39),(50,41),(51,17),(51,52),(52,43),(52,44)],53)
[[1,2,5,5,5]]=>([(0,1),(1,4),(1,5),(2,37),(3,23),(4,6),(4,38),(5,7),(5,38),(6,8),(6,39),(7,9),(7,40),(8,32),(9,33),(10,19),(10,31),(11,20),(11,35),(12,22),(12,36),(13,28),(13,29),(14,49),(14,53),(15,47),(15,48),(16,10),(16,47),(16,49),(17,46),(18,44),(19,45),(20,42),(21,3),(21,52),(22,2),(22,43),(24,18),(24,50),(25,18),(25,51),(26,20),(26,51),(27,22),(27,50),(28,11),(28,26),(28,41),(29,12),(29,27),(29,41),(30,21),(30,46),(31,21),(31,45),(32,25),(32,26),(33,24),(33,27),(34,24),(34,25),(34,41),(35,15),(35,16),(35,42),(36,14),(36,16),(36,43),(37,17),(37,30),(38,13),(38,39),(38,40),(39,28),(39,32),(39,34),(40,29),(40,33),(40,34),(41,35),(41,36),(41,50),(41,51),(42,48),(42,49),(43,37),(43,47),(43,53),(44,48),(44,53),(45,52),(46,52),(47,30),(47,31),(47,54),(48,54),(49,19),(49,54),(50,15),(50,43),(50,44),(51,14),(51,42),(51,44),(52,23),(53,17),(53,54),(54,45),(54,46)],55)
[[1,3,3,3,5]]=>([(0,1),(1,3),(1,4),(2,16),(3,7),(3,24),(4,8),(4,24),(5,25),(6,26),(7,6),(7,27),(8,5),(8,28),(9,18),(9,19),(10,12),(10,17),(11,32),(12,2),(12,34),(13,30),(14,31),(16,15),(17,14),(17,34),(18,13),(18,33),(19,10),(19,20),(19,33),(20,12),(20,29),(21,11),(21,29),(22,11),(22,30),(23,21),(23,22),(23,33),(24,9),(24,27),(24,28),(25,20),(25,21),(26,13),(26,22),(27,18),(27,23),(27,26),(28,19),(28,23),(28,25),(29,32),(29,34),(30,14),(30,32),(31,15),(32,31),(33,17),(33,29),(33,30),(34,16),(34,31)],35)
[[1,3,3,4,5]]=>([(0,1),(1,3),(1,4),(2,28),(3,7),(3,26),(4,8),(4,26),(5,31),(6,32),(7,5),(7,33),(8,6),(8,34),(9,24),(9,25),(10,19),(10,29),(11,18),(11,30),(12,41),(12,42),(13,40),(13,45),(14,40),(14,42),(15,39),(16,39),(17,35),(18,38),(19,2),(19,37),(20,17),(20,43),(21,17),(21,44),(22,19),(22,44),(23,18),(23,43),(24,11),(24,23),(24,36),(25,10),(25,22),(25,36),(26,9),(26,33),(26,34),(27,20),(27,21),(27,36),(28,15),(28,16),(29,13),(29,14),(29,37),(30,12),(30,14),(30,38),(31,20),(31,23),(32,21),(32,22),(33,24),(33,27),(33,31),(34,25),(34,27),(34,32),(35,41),(35,45),(36,29),(36,30),(36,43),(36,44),(37,28),(37,42),(37,45),(38,40),(38,41),(40,46),(41,46),(42,15),(42,46),(43,13),(43,35),(43,38),(44,12),(44,35),(44,37),(45,16),(45,46),(46,39)],47)
[[1,3,3,5,5]]=>([(0,1),(1,4),(1,5),(2,36),(3,35),(4,6),(4,37),(5,7),(5,37),(6,8),(6,38),(7,9),(7,39),(8,30),(9,31),(10,22),(10,33),(11,23),(11,34),(12,24),(12,25),(13,43),(14,46),(14,47),(15,50),(16,51),(17,50),(18,51),(19,46),(19,49),(20,47),(20,48),(22,3),(22,41),(23,2),(23,42),(24,10),(24,26),(24,40),(25,11),(25,27),(25,40),(26,22),(26,44),(27,23),(27,45),(28,13),(28,44),(29,13),(29,45),(30,26),(30,28),(31,27),(31,29),(32,28),(32,29),(32,40),(33,14),(33,20),(33,41),(34,14),(34,19),(34,42),(35,15),(35,17),(36,16),(36,18),(37,12),(37,38),(37,39),(38,24),(38,30),(38,32),(39,25),(39,31),(39,32),(40,33),(40,34),(40,44),(40,45),(41,35),(41,46),(41,48),(42,36),(42,47),(42,49),(43,48),(43,49),(44,19),(44,41),(44,43),(45,20),(45,42),(45,43),(46,15),(46,52),(47,16),(47,52),(48,17),(48,52),(49,18),(49,52),(50,21),(51,21),(52,50),(52,51)],53)
[[1,3,4,4,5]]=>([(0,1),(1,3),(1,4),(2,32),(3,7),(3,30),(4,8),(4,30),(5,35),(6,36),(7,5),(7,37),(8,6),(8,38),(9,19),(9,29),(10,26),(10,27),(11,20),(11,33),(12,21),(12,34),(13,46),(14,48),(14,51),(15,45),(15,47),(16,9),(16,45),(16,48),(17,44),(18,39),(19,43),(20,41),(21,2),(21,42),(22,18),(22,49),(23,18),(23,50),(24,20),(24,50),(25,21),(25,49),(26,12),(26,25),(26,40),(27,11),(27,24),(27,40),(28,13),(28,44),(29,13),(29,43),(30,10),(30,37),(30,38),(31,22),(31,23),(31,40),(32,17),(32,28),(33,15),(33,16),(33,41),(34,14),(34,16),(34,42),(35,22),(35,25),(36,23),(36,24),(37,26),(37,31),(37,35),(38,27),(38,31),(38,36),(39,47),(39,51),(40,33),(40,34),(40,49),(40,50),(41,47),(41,48),(42,32),(42,45),(42,51),(43,46),(44,46),(45,28),(45,29),(45,52),(47,52),(48,19),(48,52),(49,15),(49,39),(49,42),(50,14),(50,39),(50,41),(51,17),(51,52),(52,43),(52,44)],53)
[[1,3,4,5,5]]=>([(0,1),(1,4),(1,5),(2,41),(3,40),(4,6),(4,42),(5,7),(5,42),(6,8),(6,43),(7,9),(7,44),(8,35),(9,36),(10,33),(10,34),(11,23),(11,38),(12,24),(12,39),(13,29),(13,30),(14,53),(14,59),(15,52),(15,60),(16,50),(17,51),(18,55),(19,56),(20,54),(21,10),(21,52),(21,53),(22,45),(23,3),(23,47),(24,2),(24,48),(25,22),(25,57),(26,22),(26,58),(27,23),(27,57),(28,24),(28,58),(29,11),(29,27),(29,46),(30,12),(30,28),(30,46),(31,16),(31,55),(32,17),(32,56),(33,16),(33,49),(34,17),(34,49),(35,25),(35,27),(36,26),(36,28),(37,25),(37,26),(37,46),(38,14),(38,21),(38,47),(39,15),(39,21),(39,48),(40,18),(40,31),(41,19),(41,32),(42,13),(42,43),(42,44),(43,29),(43,35),(43,37),(44,30),(44,36),(44,37),(45,59),(45,60),(46,38),(46,39),(46,57),(46,58),(47,40),(47,52),(47,59),(48,41),(48,53),(48,60),(49,50),(49,51),(50,54),(51,54),(52,31),(52,33),(52,61),(53,32),(53,34),(53,61),(55,20),(55,50),(56,20),(56,51),(57,15),(57,45),(57,47),(58,14),(58,45),(58,48),(59,18),(59,61),(60,19),(60,61),(61,49),(61,55),(61,56)],62)
[[1,3,5,5,5]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,7),(5,45),(6,8),(6,45),(7,9),(7,46),(8,10),(8,47),(9,38),(10,39),(11,35),(11,36),(12,25),(12,41),(13,26),(13,42),(14,31),(14,32),(15,56),(15,62),(16,55),(16,63),(17,53),(19,58),(20,59),(21,57),(22,11),(22,55),(22,56),(23,48),(24,4),(24,54),(25,2),(25,51),(26,3),(26,50),(27,23),(27,60),(28,23),(28,61),(29,25),(29,60),(30,26),(30,61),(31,12),(31,29),(31,49),(32,13),(32,30),(32,49),(33,17),(33,59),(34,24),(34,58),(35,17),(35,52),(36,24),(36,52),(37,18),(38,27),(38,29),(39,28),(39,30),(40,27),(40,28),(40,49),(41,15),(41,22),(41,51),(42,16),(42,22),(42,50),(43,19),(43,34),(44,20),(44,33),(45,14),(45,46),(45,47),(46,31),(46,38),(46,40),(47,32),(47,39),(47,40),(48,62),(48,63),(49,41),(49,42),(49,60),(49,61),(50,44),(50,56),(50,63),(51,43),(51,55),(51,62),(52,53),(52,54),(53,57),(54,37),(54,57),(55,34),(55,36),(55,64),(56,33),(56,35),(56,64),(57,18),(58,21),(58,54),(59,21),(59,53),(60,16),(60,48),(60,51),(61,15),(61,48),(61,50),(62,19),(62,64),(63,20),(63,64),(64,52),(64,58),(64,59)],65)
[[1,4,4,4,5]]=>([(0,1),(1,4),(1,5),(2,37),(3,23),(4,6),(4,38),(5,7),(5,38),(6,8),(6,39),(7,9),(7,40),(8,32),(9,33),(10,19),(10,31),(11,20),(11,35),(12,22),(12,36),(13,28),(13,29),(14,49),(14,53),(15,47),(15,48),(16,10),(16,47),(16,49),(17,46),(18,44),(19,45),(20,42),(21,3),(21,52),(22,2),(22,43),(24,18),(24,50),(25,18),(25,51),(26,20),(26,51),(27,22),(27,50),(28,11),(28,26),(28,41),(29,12),(29,27),(29,41),(30,21),(30,46),(31,21),(31,45),(32,25),(32,26),(33,24),(33,27),(34,24),(34,25),(34,41),(35,15),(35,16),(35,42),(36,14),(36,16),(36,43),(37,17),(37,30),(38,13),(38,39),(38,40),(39,28),(39,32),(39,34),(40,29),(40,33),(40,34),(41,35),(41,36),(41,50),(41,51),(42,48),(42,49),(43,37),(43,47),(43,53),(44,48),(44,53),(45,52),(46,52),(47,30),(47,31),(47,54),(48,54),(49,19),(49,54),(50,15),(50,43),(50,44),(51,14),(51,42),(51,44),(52,23),(53,17),(53,54),(54,45),(54,46)],55)
[[1,4,4,5,5]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,7),(5,45),(6,8),(6,45),(7,9),(7,46),(8,10),(8,47),(9,38),(10,39),(11,35),(11,36),(12,25),(12,41),(13,26),(13,42),(14,31),(14,32),(15,56),(15,62),(16,55),(16,63),(17,53),(19,58),(20,59),(21,57),(22,11),(22,55),(22,56),(23,48),(24,4),(24,54),(25,2),(25,51),(26,3),(26,50),(27,23),(27,60),(28,23),(28,61),(29,25),(29,60),(30,26),(30,61),(31,12),(31,29),(31,49),(32,13),(32,30),(32,49),(33,17),(33,59),(34,24),(34,58),(35,17),(35,52),(36,24),(36,52),(37,18),(38,27),(38,29),(39,28),(39,30),(40,27),(40,28),(40,49),(41,15),(41,22),(41,51),(42,16),(42,22),(42,50),(43,19),(43,34),(44,20),(44,33),(45,14),(45,46),(45,47),(46,31),(46,38),(46,40),(47,32),(47,39),(47,40),(48,62),(48,63),(49,41),(49,42),(49,60),(49,61),(50,44),(50,56),(50,63),(51,43),(51,55),(51,62),(52,53),(52,54),(53,57),(54,37),(54,57),(55,34),(55,36),(55,64),(56,33),(56,35),(56,64),(57,18),(58,21),(58,54),(59,21),(59,53),(60,16),(60,48),(60,51),(61,15),(61,48),(61,50),(62,19),(62,64),(63,20),(63,64),(64,52),(64,58),(64,59)],65)
[[1,4,5,5,5]]=>([(0,1),(1,6),(1,7),(2,48),(3,47),(4,40),(5,41),(6,8),(6,49),(7,9),(7,49),(8,10),(8,50),(9,11),(9,51),(10,42),(11,43),(12,36),(12,37),(13,26),(13,45),(14,27),(14,46),(15,38),(15,39),(17,60),(18,12),(18,66),(18,67),(19,61),(19,67),(20,62),(20,66),(21,53),(22,54),(23,65),(24,4),(24,63),(25,5),(25,64),(26,3),(26,56),(27,2),(27,57),(28,16),(29,16),(30,26),(30,58),(31,27),(31,59),(32,17),(32,58),(33,17),(33,59),(34,24),(34,53),(35,25),(35,54),(36,24),(36,55),(37,25),(37,55),(38,13),(38,30),(38,52),(39,14),(39,31),(39,52),(40,28),(41,29),(42,30),(42,32),(43,31),(43,33),(44,32),(44,33),(44,52),(45,18),(45,19),(45,56),(46,18),(46,20),(46,57),(47,21),(47,34),(48,22),(48,35),(49,15),(49,50),(49,51),(50,38),(50,42),(50,44),(51,39),(51,43),(51,44),(52,45),(52,46),(52,58),(52,59),(53,23),(53,63),(54,23),(54,64),(55,63),(55,64),(56,47),(56,61),(56,66),(57,48),(57,62),(57,67),(58,20),(58,56),(58,60),(59,19),(59,57),(59,60),(60,61),(60,62),(61,21),(61,68),(62,22),(62,68),(63,40),(63,65),(64,41),(64,65),(65,28),(65,29),(66,34),(66,36),(66,68),(67,35),(67,37),(67,68),(68,53),(68,54),(68,55)],69)
[[1,5,5,5,5]]=>([(0,2),(2,7),(2,8),(3,49),(4,48),(5,41),(6,42),(7,9),(7,50),(8,10),(8,50),(9,11),(9,51),(10,12),(10,52),(11,43),(12,44),(13,37),(13,38),(14,27),(14,46),(15,28),(15,47),(16,39),(16,40),(17,61),(18,13),(18,67),(18,68),(19,1),(20,62),(20,68),(21,63),(21,67),(22,54),(23,55),(24,66),(25,5),(25,64),(26,6),(26,65),(27,4),(27,57),(28,3),(28,58),(29,19),(30,19),(31,27),(31,59),(32,28),(32,60),(33,17),(33,59),(34,17),(34,60),(35,25),(35,54),(36,26),(36,55),(37,25),(37,56),(38,26),(38,56),(39,14),(39,31),(39,53),(40,15),(40,32),(40,53),(41,29),(42,30),(43,31),(43,33),(44,32),(44,34),(45,33),(45,34),(45,53),(46,18),(46,20),(46,57),(47,18),(47,21),(47,58),(48,22),(48,35),(49,23),(49,36),(50,16),(50,51),(50,52),(51,39),(51,43),(51,45),(52,40),(52,44),(52,45),(53,46),(53,47),(53,59),(53,60),(54,24),(54,64),(55,24),(55,65),(56,64),(56,65),(57,48),(57,62),(57,67),(58,49),(58,63),(58,68),(59,21),(59,57),(59,61),(60,20),(60,58),(60,61),(61,62),(61,63),(62,22),(62,69),(63,23),(63,69),(64,41),(64,66),(65,42),(65,66),(66,29),(66,30),(67,35),(67,37),(67,69),(68,36),(68,38),(68,69),(69,54),(69,55),(69,56)],70)
[[2,2,2,2,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,8),(3,16),(4,14),(5,13),(6,4),(6,19),(7,5),(7,20),(8,6),(8,18),(10,12),(11,9),(12,9),(13,10),(14,11),(15,10),(15,17),(16,18),(16,20),(17,11),(17,12),(18,15),(18,19),(19,14),(19,17),(20,13),(20,15)],21)
[[2,2,2,3,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,20),(3,8),(3,20),(4,23),(5,22),(6,5),(6,24),(7,6),(7,25),(8,4),(8,26),(9,14),(9,15),(10,32),(11,29),(12,28),(13,10),(13,31),(14,18),(14,27),(15,11),(15,27),(16,10),(16,28),(17,13),(17,29),(18,12),(18,30),(19,17),(19,21),(19,27),(20,9),(20,25),(20,26),(21,13),(21,16),(21,30),(22,12),(22,16),(23,11),(23,17),(24,18),(24,21),(24,22),(25,14),(25,19),(25,24),(26,15),(26,19),(26,23),(27,29),(27,30),(28,32),(29,31),(30,28),(30,31),(31,32)],33)
[[2,2,2,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,8),(3,26),(4,28),(5,27),(6,4),(6,29),(7,5),(7,31),(8,6),(8,30),(9,21),(9,22),(10,12),(10,20),(11,33),(12,34),(13,37),(14,36),(15,12),(15,32),(16,13),(16,35),(17,13),(17,33),(18,16),(18,32),(19,11),(19,39),(20,23),(20,34),(21,19),(21,40),(22,10),(22,15),(22,40),(23,14),(23,38),(24,18),(24,25),(24,40),(25,16),(25,17),(25,39),(26,9),(26,30),(26,31),(27,15),(27,18),(28,11),(28,17),(29,19),(29,25),(29,28),(30,21),(30,24),(30,29),(31,22),(31,24),(31,27),(32,34),(32,35),(33,14),(33,37),(34,38),(35,37),(35,38),(37,36),(38,36),(39,23),(39,33),(39,35),(40,20),(40,32),(40,39)],41)
[[2,2,2,5,5]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,30),(4,9),(4,30),(5,32),(6,31),(7,6),(7,33),(8,7),(8,34),(9,5),(9,35),(10,23),(10,24),(11,13),(11,22),(12,40),(13,2),(13,44),(14,37),(15,38),(17,16),(18,17),(19,14),(19,42),(20,15),(20,41),(21,12),(21,39),(22,20),(22,44),(23,19),(23,43),(24,11),(24,25),(24,43),(25,13),(25,36),(26,21),(26,36),(27,12),(27,37),(28,26),(28,29),(28,43),(29,21),(29,27),(29,42),(30,10),(30,34),(30,35),(31,14),(31,27),(32,25),(32,26),(33,19),(33,29),(33,31),(34,23),(34,28),(34,33),(35,24),(35,28),(35,32),(36,39),(36,44),(37,15),(37,40),(38,16),(39,40),(39,41),(40,38),(41,17),(41,38),(42,20),(42,37),(42,39),(43,22),(43,36),(43,42),(44,18),(44,41)],45)
[[2,2,3,3,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,26),(3,8),(3,26),(4,28),(5,27),(6,5),(6,31),(7,6),(7,29),(8,4),(8,30),(9,19),(9,21),(10,18),(10,20),(11,32),(12,38),(13,37),(14,36),(15,22),(15,32),(16,12),(16,35),(17,13),(17,35),(18,14),(18,34),(19,11),(19,41),(20,12),(20,34),(21,10),(21,23),(21,41),(22,13),(22,39),(23,16),(23,20),(23,33),(24,15),(24,25),(24,41),(25,17),(25,22),(25,33),(26,9),(26,29),(26,30),(27,16),(27,17),(28,11),(28,15),(29,21),(29,24),(29,31),(30,19),(30,24),(30,28),(31,23),(31,25),(31,27),(32,14),(32,39),(33,34),(33,35),(33,39),(34,36),(34,38),(35,37),(35,38),(36,40),(37,40),(38,40),(39,36),(39,37),(41,18),(41,32),(41,33)],42)
[[2,2,3,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,30),(3,8),(3,30),(4,34),(5,33),(6,5),(6,37),(7,6),(7,35),(8,4),(8,36),(9,23),(9,32),(10,24),(10,25),(11,13),(11,31),(12,42),(12,44),(13,43),(14,50),(15,49),(16,42),(16,48),(17,46),(17,47),(18,13),(18,41),(19,15),(19,45),(20,19),(20,41),(21,14),(21,40),(22,15),(22,40),(23,14),(23,39),(24,11),(24,18),(24,38),(25,9),(25,27),(25,38),(26,17),(26,44),(26,51),(27,21),(27,23),(27,53),(28,20),(28,29),(28,38),(29,19),(29,22),(29,53),(30,10),(30,35),(30,36),(31,12),(31,26),(31,43),(32,12),(32,16),(32,39),(33,21),(33,22),(34,18),(34,20),(35,25),(35,28),(35,37),(36,24),(36,28),(36,34),(37,27),(37,29),(37,33),(38,31),(38,32),(38,41),(38,53),(39,44),(39,48),(39,50),(40,17),(40,49),(40,50),(41,16),(41,43),(41,45),(42,54),(43,42),(43,51),(44,46),(44,54),(45,48),(45,49),(45,51),(46,55),(47,55),(48,52),(48,54),(49,47),(49,52),(50,46),(50,52),(51,47),(51,54),(52,55),(53,26),(53,39),(53,40),(53,45),(54,55)],56)
[[2,2,3,5,5]]=>([(0,1),(1,3),(1,4),(2,35),(3,8),(3,34),(4,9),(4,34),(5,39),(6,38),(7,6),(7,42),(8,7),(8,40),(9,5),(9,41),(10,24),(10,36),(11,25),(11,26),(12,15),(12,37),(13,55),(14,57),(15,2),(15,52),(16,47),(16,48),(17,44),(18,51),(19,50),(19,56),(20,48),(20,54),(21,18),(21,44),(22,13),(22,43),(23,14),(23,43),(24,13),(24,45),(25,12),(25,27),(25,46),(26,10),(26,31),(26,46),(27,15),(27,53),(28,19),(28,47),(28,60),(29,30),(29,53),(30,14),(30,49),(31,22),(31,24),(31,59),(32,29),(32,33),(32,46),(33,23),(33,30),(33,59),(34,11),(34,40),(34,41),(35,17),(35,21),(36,16),(36,20),(36,45),(37,16),(37,28),(37,52),(38,22),(38,23),(39,27),(39,29),(40,26),(40,32),(40,42),(41,25),(41,32),(41,39),(42,31),(42,33),(42,38),(43,19),(43,55),(43,57),(44,51),(45,47),(45,54),(45,55),(46,36),(46,37),(46,53),(46,59),(47,56),(47,62),(48,17),(48,62),(49,54),(49,57),(49,60),(50,18),(50,61),(52,35),(52,48),(52,60),(53,20),(53,49),(53,52),(54,58),(54,62),(55,56),(55,58),(56,61),(57,50),(57,58),(58,61),(59,28),(59,43),(59,45),(59,49),(60,21),(60,50),(60,62),(61,51),(62,44),(62,61)],63)
[[2,2,4,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,34),(3,8),(3,34),(4,38),(5,37),(6,5),(6,41),(7,6),(7,39),(8,4),(8,40),(9,26),(9,27),(10,16),(10,36),(11,17),(11,24),(12,25),(12,35),(13,53),(14,56),(15,11),(15,49),(15,59),(16,50),(17,45),(18,46),(19,47),(19,52),(20,49),(20,55),(21,19),(21,54),(21,59),(22,14),(22,43),(23,13),(23,43),(24,18),(24,45),(25,14),(25,42),(26,10),(26,28),(26,44),(27,12),(27,31),(27,44),(28,16),(28,51),(29,30),(29,51),(30,13),(30,48),(31,22),(31,25),(31,58),(32,29),(32,33),(32,44),(33,23),(33,30),(33,58),(34,9),(34,39),(34,40),(35,15),(35,20),(35,42),(36,15),(36,21),(36,50),(37,22),(37,23),(38,28),(38,29),(39,27),(39,32),(39,41),(40,26),(40,32),(40,38),(41,31),(41,33),(41,37),(42,55),(42,56),(42,59),(43,19),(43,53),(43,56),(44,35),(44,36),(44,51),(44,58),(45,46),(47,18),(47,61),(48,53),(48,54),(48,55),(49,17),(49,60),(50,49),(50,54),(51,20),(51,48),(51,50),(52,61),(53,52),(53,57),(54,52),(54,60),(55,57),(55,60),(56,47),(56,57),(57,61),(58,21),(58,42),(58,43),(58,48),(59,24),(59,47),(59,60),(60,45),(60,61),(61,46)],62)
[[2,2,4,5,5]]=>([(0,1),(1,3),(1,4),(2,40),(3,8),(3,39),(4,9),(4,39),(5,44),(6,43),(7,6),(7,47),(8,7),(8,45),(9,5),(9,46),(10,31),(10,32),(11,30),(11,41),(12,28),(12,29),(13,18),(13,42),(14,63),(15,62),(16,60),(17,12),(17,67),(17,69),(18,2),(18,57),(19,61),(19,69),(20,56),(21,55),(22,53),(22,54),(23,21),(23,51),(24,22),(24,67),(24,68),(25,16),(25,51),(26,14),(26,49),(27,15),(27,49),(28,20),(28,52),(29,16),(29,52),(30,14),(30,48),(31,13),(31,33),(31,50),(32,11),(32,36),(32,50),(33,18),(33,59),(34,35),(34,59),(35,15),(35,58),(36,26),(36,30),(36,66),(37,34),(37,38),(37,50),(38,27),(38,35),(38,66),(39,10),(39,45),(39,46),(40,23),(40,25),(41,17),(41,19),(41,48),(42,17),(42,24),(42,57),(43,26),(43,27),(44,33),(44,34),(45,32),(45,37),(45,47),(46,31),(46,37),(46,44),(47,36),(47,38),(47,43),(48,61),(48,63),(48,67),(49,22),(49,62),(49,63),(50,41),(50,42),(50,59),(50,66),(51,55),(51,60),(52,56),(52,60),(53,20),(53,71),(54,21),(54,71),(55,65),(56,65),(57,40),(57,68),(57,69),(58,61),(58,62),(58,68),(59,19),(59,57),(59,58),(60,65),(61,64),(61,70),(62,54),(62,64),(63,53),(63,64),(64,71),(66,24),(66,48),(66,49),(66,58),(67,28),(67,53),(67,70),(68,23),(68,54),(68,70),(69,25),(69,29),(69,70),(70,51),(70,52),(70,71),(71,55),(71,56)],72)
[[2,2,5,5,5]]=>([(0,1),(1,4),(1,5),(2,43),(3,26),(4,9),(4,42),(5,10),(5,42),(6,47),(7,46),(8,7),(8,50),(9,8),(9,48),(10,6),(10,49),(11,34),(11,35),(12,33),(12,44),(13,31),(13,32),(14,19),(14,45),(15,66),(16,3),(16,68),(17,65),(18,13),(18,70),(18,72),(19,2),(19,60),(21,64),(21,72),(22,58),(23,59),(24,56),(24,57),(25,22),(25,54),(26,20),(27,24),(27,70),(27,71),(28,16),(28,54),(29,15),(29,52),(30,17),(30,52),(31,23),(31,55),(32,16),(32,55),(33,15),(33,51),(34,14),(34,36),(34,53),(35,12),(35,39),(35,53),(36,19),(36,62),(37,38),(37,62),(38,17),(38,61),(39,29),(39,33),(39,69),(40,37),(40,41),(40,53),(41,30),(41,38),(41,69),(42,11),(42,48),(42,49),(43,25),(43,28),(44,18),(44,21),(44,51),(45,18),(45,27),(45,60),(46,29),(46,30),(47,36),(47,37),(48,35),(48,40),(48,50),(49,34),(49,40),(49,47),(50,39),(50,41),(50,46),(51,64),(51,66),(51,70),(52,24),(52,65),(52,66),(53,44),(53,45),(53,62),(53,69),(54,58),(54,68),(55,59),(55,68),(56,23),(56,74),(57,22),(57,74),(58,63),(59,63),(60,43),(60,71),(60,72),(61,64),(61,65),(61,71),(62,21),(62,60),(62,61),(63,20),(64,67),(64,73),(65,57),(65,67),(66,56),(66,67),(67,74),(68,26),(68,63),(69,27),(69,51),(69,52),(69,61),(70,31),(70,56),(70,73),(71,25),(71,57),(71,73),(72,28),(72,32),(72,73),(73,54),(73,55),(73,74),(74,58),(74,59)],75)
[[2,3,3,3,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,30),(3,8),(3,30),(4,32),(5,31),(6,5),(6,35),(7,6),(7,34),(8,4),(8,33),(9,20),(9,21),(10,19),(10,22),(11,14),(11,26),(12,43),(13,36),(14,38),(15,42),(16,39),(17,18),(17,36),(18,12),(18,44),(19,16),(19,47),(20,13),(20,46),(21,10),(21,27),(21,46),(22,11),(22,23),(22,47),(23,14),(23,41),(24,23),(24,40),(25,12),(25,40),(26,15),(26,38),(27,22),(27,24),(27,37),(28,17),(28,29),(28,46),(29,18),(29,25),(29,37),(30,9),(30,33),(30,34),(31,24),(31,25),(32,13),(32,17),(33,20),(33,28),(33,32),(34,21),(34,28),(34,35),(35,27),(35,29),(35,31),(36,16),(36,44),(37,40),(37,44),(37,47),(38,42),(39,15),(39,45),(40,41),(40,43),(41,38),(41,45),(43,45),(44,39),(44,43),(45,42),(46,19),(46,36),(46,37),(47,26),(47,39),(47,41)],48)
[[2,3,3,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,34),(3,8),(3,34),(4,39),(5,38),(6,5),(6,42),(7,6),(7,40),(8,4),(8,41),(9,28),(9,36),(10,26),(10,27),(11,15),(11,37),(12,14),(12,35),(13,48),(13,49),(14,50),(15,51),(16,59),(17,44),(17,56),(18,44),(18,55),(19,48),(19,53),(20,54),(20,60),(21,16),(21,52),(22,30),(22,46),(23,16),(23,46),(24,21),(24,47),(25,14),(25,47),(26,12),(26,25),(26,43),(27,9),(27,31),(27,43),(28,11),(28,30),(28,45),(29,20),(29,49),(29,57),(30,15),(30,58),(31,22),(31,28),(31,62),(32,24),(32,33),(32,43),(33,21),(33,23),(33,62),(34,10),(34,40),(34,41),(35,13),(35,29),(35,50),(36,13),(36,19),(36,45),(37,17),(37,18),(37,51),(38,22),(38,23),(39,24),(39,25),(40,27),(40,32),(40,42),(41,26),(41,32),(41,39),(42,31),(42,33),(42,38),(43,35),(43,36),(43,47),(43,62),(44,64),(45,37),(45,49),(45,53),(45,58),(46,20),(46,58),(46,59),(47,19),(47,50),(47,52),(48,63),(49,18),(49,60),(49,63),(50,48),(50,57),(51,55),(51,56),(52,53),(52,57),(52,59),(53,17),(53,61),(53,63),(54,65),(55,64),(56,64),(57,54),(57,63),(58,51),(58,60),(58,61),(59,54),(59,61),(60,55),(60,65),(61,56),(61,65),(62,29),(62,45),(62,46),(62,52),(63,44),(63,65),(65,64)],66)
[[2,3,3,5,5]]=>([(0,1),(1,3),(1,4),(2,40),(3,8),(3,37),(4,9),(4,37),(5,45),(6,44),(7,6),(7,46),(8,7),(8,48),(9,5),(9,47),(10,29),(10,30),(11,20),(11,41),(12,33),(12,42),(13,24),(13,43),(14,65),(14,70),(15,62),(15,66),(16,60),(16,66),(17,67),(18,50),(19,65),(19,71),(20,2),(20,49),(21,55),(22,53),(22,68),(23,54),(24,52),(25,23),(25,69),(26,32),(26,69),(27,20),(27,64),(28,31),(28,64),(29,12),(29,38),(29,51),(30,11),(30,27),(30,51),(31,23),(31,57),(32,24),(32,58),(33,13),(33,32),(33,56),(34,22),(34,63),(34,70),(35,18),(35,67),(36,28),(36,39),(36,51),(37,10),(37,47),(37,48),(38,26),(38,33),(38,59),(39,25),(39,31),(39,59),(40,17),(40,35),(41,14),(41,34),(41,49),(42,14),(42,19),(42,56),(43,15),(43,16),(43,52),(44,25),(44,26),(45,27),(45,28),(46,38),(46,39),(46,44),(47,30),(47,36),(47,45),(48,29),(48,36),(48,46),(49,40),(49,63),(49,65),(50,55),(51,41),(51,42),(51,59),(51,64),(52,60),(52,62),(53,60),(53,74),(54,61),(54,68),(56,43),(56,58),(56,70),(56,71),(57,54),(57,63),(57,71),(58,52),(58,53),(58,61),(59,34),(59,56),(59,57),(59,69),(60,73),(61,62),(61,74),(62,73),(63,35),(63,68),(63,72),(64,19),(64,49),(64,57),(65,17),(65,72),(66,21),(66,73),(67,21),(67,50),(68,18),(68,74),(69,22),(69,54),(69,58),(70,16),(70,53),(70,72),(71,15),(71,61),(71,72),(72,66),(72,67),(72,74),(73,55),(74,50),(74,73)],75)
[[2,3,4,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,38),(3,8),(3,38),(4,43),(5,44),(6,5),(6,47),(7,6),(7,45),(8,4),(8,46),(9,29),(9,30),(10,20),(10,39),(11,17),(11,42),(12,31),(12,40),(13,18),(13,41),(14,62),(15,57),(15,64),(16,10),(16,58),(16,71),(17,53),(18,59),(19,50),(19,63),(20,52),(21,58),(21,66),(22,54),(22,61),(23,55),(23,57),(24,17),(24,68),(25,22),(25,65),(25,71),(26,24),(26,48),(27,14),(27,48),(28,15),(28,50),(28,67),(29,13),(29,32),(29,51),(30,12),(30,35),(30,51),(31,11),(31,24),(31,49),(32,18),(32,60),(33,14),(33,56),(34,33),(34,60),(35,26),(35,31),(35,70),(36,34),(36,37),(36,51),(37,27),(37,33),(37,70),(38,9),(38,45),(38,46),(39,15),(39,23),(39,52),(40,16),(40,21),(40,49),(41,16),(41,25),(41,59),(42,19),(42,28),(42,53),(43,32),(43,34),(44,26),(44,27),(45,30),(45,36),(45,47),(46,29),(46,36),(46,43),(47,35),(47,37),(47,44),(48,22),(48,62),(48,68),(49,42),(49,66),(49,68),(49,71),(50,64),(50,72),(51,40),(51,41),(51,60),(51,70),(52,55),(52,64),(53,63),(53,67),(54,23),(54,67),(54,74),(55,75),(56,62),(56,65),(56,66),(57,75),(58,20),(58,73),(59,58),(59,65),(60,21),(60,56),(60,59),(61,74),(62,61),(62,69),(63,72),(64,75),(65,61),(65,73),(66,19),(66,69),(66,73),(67,57),(67,72),(68,53),(68,54),(68,69),(69,63),(69,74),(70,25),(70,48),(70,49),(70,56),(71,28),(71,39),(71,54),(71,73),(72,75),(73,50),(73,52),(73,74),(74,55),(74,72)],76)
[[2,3,4,5,5]]=>([(0,1),(1,3),(1,4),(2,46),(3,8),(3,44),(4,9),(4,44),(5,51),(6,50),(7,6),(7,54),(8,7),(8,52),(9,5),(9,53),(10,37),(10,47),(11,34),(11,45),(12,35),(12,36),(13,20),(13,48),(14,19),(14,49),(15,77),(16,74),(17,11),(17,82),(17,84),(18,63),(18,71),(19,62),(20,2),(20,67),(21,57),(21,73),(22,75),(22,84),(23,69),(24,63),(24,65),(25,61),(25,64),(26,66),(26,72),(27,18),(27,57),(27,76),(28,19),(28,78),(29,23),(29,60),(30,25),(30,82),(30,83),(31,28),(31,55),(32,16),(32,60),(33,15),(33,55),(34,16),(34,59),(35,13),(35,38),(35,58),(36,10),(36,41),(36,58),(37,14),(37,28),(37,56),(38,20),(38,70),(39,40),(39,70),(40,15),(40,68),(41,31),(41,37),(41,81),(42,39),(42,43),(42,58),(43,33),(43,40),(43,81),(44,12),(44,52),(44,53),(45,18),(45,24),(45,59),(46,29),(46,32),(47,17),(47,22),(47,56),(48,17),(48,30),(48,67),(49,21),(49,27),(49,62),(50,31),(50,33),(51,38),(51,39),(52,36),(52,42),(52,54),(53,35),(53,42),(53,51),(54,41),(54,43),(54,50),(55,25),(55,77),(55,78),(56,49),(56,75),(56,78),(56,82),(57,26),(57,71),(57,86),(58,47),(58,48),(58,70),(58,81),(59,65),(59,71),(59,74),(60,26),(60,69),(60,74),(61,24),(61,76),(61,89),(62,73),(62,76),(63,88),(64,23),(64,89),(65,80),(65,88),(66,87),(67,46),(67,83),(67,84),(68,75),(68,77),(68,83),(69,66),(69,80),(70,22),(70,67),(70,68),(71,72),(71,88),(72,87),(73,86),(74,72),(74,80),(75,21),(75,79),(75,85),(76,63),(76,86),(77,64),(77,79),(78,61),(78,62),(78,79),(79,73),(79,89),(80,87),(81,30),(81,55),(81,56),(81,68),(82,27),(82,45),(82,61),(82,85),(83,29),(83,64),(83,85),(84,32),(84,34),(84,85),(85,57),(85,59),(85,60),(85,89),(86,66),(86,88),(88,87),(89,65),(89,69),(89,86)],90)
[[2,3,5,5,5]]=>([(0,1),(1,4),(1,5),(2,48),(3,49),(4,9),(4,45),(5,10),(5,45),(6,54),(7,55),(8,7),(8,58),(9,8),(9,56),(10,6),(10,57),(11,41),(11,51),(12,34),(12,35),(13,21),(13,50),(14,38),(14,53),(15,26),(15,52),(16,60),(17,84),(17,87),(18,78),(18,82),(19,59),(20,59),(21,3),(21,62),(22,71),(22,88),(23,2),(23,70),(24,68),(24,86),(25,66),(26,72),(27,64),(27,67),(28,64),(28,65),(29,11),(29,68),(29,69),(30,25),(30,85),(31,21),(31,81),(32,37),(32,85),(33,36),(33,81),(34,14),(34,46),(34,61),(35,13),(35,31),(35,61),(36,25),(36,74),(37,26),(37,73),(38,15),(38,37),(38,77),(39,16),(39,83),(40,23),(40,83),(41,23),(41,63),(42,17),(42,69),(42,79),(43,27),(43,75),(43,82),(44,33),(44,47),(44,61),(45,12),(45,56),(45,57),(46,32),(46,38),(46,76),(47,30),(47,36),(47,76),(48,19),(48,20),(49,39),(49,40),(50,29),(50,42),(50,62),(51,27),(51,28),(51,63),(52,18),(52,43),(52,72),(53,24),(53,29),(53,77),(54,31),(54,33),(55,30),(55,32),(56,34),(56,44),(56,58),(57,35),(57,44),(57,54),(58,46),(58,47),(58,55),(60,71),(60,89),(61,50),(61,53),(61,76),(61,81),(62,49),(62,68),(62,79),(63,65),(63,67),(63,70),(64,94),(65,89),(65,94),(66,80),(66,84),(67,88),(67,94),(68,40),(68,41),(68,93),(69,43),(69,51),(69,87),(69,93),(70,48),(70,88),(70,89),(71,91),(72,75),(72,78),(73,72),(73,80),(73,87),(74,66),(74,79),(74,86),(75,64),(75,92),(76,42),(76,74),(76,77),(76,85),(77,52),(77,69),(77,73),(77,86),(78,92),(79,39),(79,84),(79,93),(80,78),(80,90),(81,24),(81,62),(81,74),(82,22),(82,67),(82,92),(83,22),(83,60),(83,70),(84,16),(84,90),(85,17),(85,66),(85,73),(86,18),(86,80),(86,93),(87,28),(87,75),(87,90),(88,20),(88,91),(89,19),(89,91),(90,60),(90,65),(90,92),(91,59),(92,71),(92,94),(93,63),(93,82),(93,83),(93,90),(94,91)],95)
[[2,4,4,4,5]]=>([(0,1),(1,2),(1,3),(2,7),(2,39),(3,8),(3,39),(4,47),(5,46),(6,5),(6,48),(7,6),(7,50),(8,4),(8,49),(9,22),(9,43),(10,20),(10,21),(11,31),(11,32),(12,26),(12,45),(13,35),(13,44),(14,19),(14,42),(15,71),(15,74),(16,53),(16,67),(17,65),(17,75),(18,10),(18,69),(18,72),(19,55),(20,52),(21,52),(22,51),(23,56),(23,72),(24,57),(25,14),(25,59),(25,71),(26,60),(27,22),(27,70),(28,24),(28,73),(29,34),(29,73),(30,33),(30,70),(31,13),(31,40),(31,54),(32,9),(32,27),(32,54),(33,24),(33,61),(34,26),(34,62),(35,12),(35,34),(35,63),(36,17),(36,59),(36,68),(37,18),(37,53),(37,58),(38,30),(38,41),(38,54),(39,11),(39,49),(39,50),(40,29),(40,35),(40,64),(41,28),(41,33),(41,64),(42,18),(42,23),(42,55),(43,25),(43,36),(43,51),(44,15),(44,25),(44,63),(45,16),(45,37),(45,60),(46,28),(46,29),(47,27),(47,30),(48,40),(48,41),(48,46),(49,32),(49,38),(49,47),(50,31),(50,38),(50,48),(51,68),(51,71),(53,69),(53,77),(54,43),(54,44),(54,64),(54,70),(55,56),(55,69),(56,79),(57,65),(57,66),(58,72),(58,77),(59,37),(59,42),(59,75),(59,78),(60,58),(60,67),(61,57),(61,68),(61,74),(62,60),(62,66),(62,75),(63,45),(63,59),(63,62),(63,74),(64,36),(64,61),(64,63),(64,73),(65,76),(66,67),(66,76),(67,77),(68,65),(68,78),(69,21),(69,79),(70,15),(70,51),(70,61),(71,19),(71,78),(72,20),(72,79),(73,17),(73,57),(73,62),(74,16),(74,66),(74,78),(75,23),(75,58),(75,76),(76,56),(76,77),(77,79),(78,53),(78,55),(78,76),(79,52)],80)
[[2,4,4,5,5]]=>([(0,1),(1,3),(1,4),(2,50),(3,8),(3,48),(4,9),(4,48),(5,54),(6,55),(7,6),(7,58),(8,7),(8,56),(9,5),(9,57),(10,41),(10,51),(11,37),(11,49),(12,39),(12,40),(13,24),(13,38),(14,21),(14,52),(15,20),(15,53),(16,81),(17,82),(18,11),(18,87),(18,90),(19,13),(19,66),(19,86),(20,67),(21,2),(21,69),(22,61),(22,78),(23,79),(23,90),(24,62),(25,75),(26,76),(27,66),(27,74),(28,70),(28,72),(29,71),(29,73),(30,20),(30,83),(31,26),(31,63),(32,16),(32,63),(33,28),(33,87),(33,89),(34,19),(34,61),(34,80),(35,30),(35,59),(36,17),(36,59),(37,16),(37,64),(38,25),(38,62),(39,14),(39,42),(39,65),(40,10),(40,45),(40,65),(41,15),(41,30),(41,60),(42,21),(42,77),(43,17),(43,68),(44,43),(44,77),(45,35),(45,41),(45,88),(46,44),(46,47),(46,65),(47,36),(47,43),(47,88),(48,12),(48,56),(48,57),(49,19),(49,27),(49,64),(50,31),(50,32),(51,18),(51,23),(51,60),(52,18),(52,33),(52,69),(53,22),(53,34),(53,67),(54,42),(54,44),(55,35),(55,36),(56,40),(56,46),(56,58),(57,39),(57,46),(57,54),(58,45),(58,47),(58,55),(59,28),(59,82),(59,83),(60,53),(60,79),(60,83),(60,87),(61,29),(61,86),(61,92),(62,75),(63,29),(63,76),(63,81),(64,74),(64,81),(64,86),(65,51),(65,52),(65,77),(65,88),(66,24),(66,93),(67,78),(67,80),(68,79),(68,82),(68,89),(69,50),(69,89),(69,90),(70,26),(70,95),(71,94),(72,27),(72,80),(72,95),(73,25),(73,94),(74,85),(74,93),(76,71),(76,85),(77,23),(77,68),(77,69),(78,92),(79,22),(79,84),(79,91),(80,66),(80,92),(81,73),(81,85),(82,70),(82,84),(83,67),(83,72),(83,84),(84,78),(84,95),(85,94),(86,38),(86,73),(86,93),(87,34),(87,49),(87,72),(87,91),(88,33),(88,59),(88,60),(88,68),(89,31),(89,70),(89,91),(90,32),(90,37),(90,91),(91,61),(91,63),(91,64),(91,95),(92,71),(92,93),(93,62),(93,94),(94,75),(95,74),(95,76),(95,92)],96)
[[2,4,5,5,5]]=>([(0,1),(1,4),(1,5),(2,55),(3,54),(4,9),(4,52),(5,10),(5,52),(6,60),(7,59),(8,7),(8,63),(9,8),(9,61),(10,6),(10,62),(11,44),(11,56),(12,41),(12,53),(13,42),(13,43),(14,27),(14,40),(15,23),(15,57),(16,22),(16,58),(17,88),(18,3),(18,85),(19,84),(20,12),(20,94),(20,97),(21,14),(21,75),(21,92),(22,73),(23,2),(23,76),(24,67),(24,83),(25,86),(25,97),(26,64),(27,68),(28,81),(29,74),(29,75),(30,72),(30,77),(31,79),(31,96),(32,21),(32,67),(32,87),(33,22),(33,89),(34,28),(34,71),(35,30),(35,94),(35,95),(36,33),(36,65),(37,18),(37,71),(38,19),(38,64),(39,17),(39,65),(40,47),(40,68),(41,18),(41,70),(42,15),(42,45),(42,69),(43,11),(43,49),(43,69),(44,16),(44,33),(44,66),(45,23),(45,82),(46,48),(46,82),(47,19),(47,78),(48,17),(48,80),(49,36),(49,44),(49,93),(50,46),(50,51),(50,69),(51,39),(51,48),(51,93),(52,13),(52,61),(52,62),(53,21),(53,29),(53,70),(54,26),(54,38),(55,34),(55,37),(56,20),(56,25),(56,66),(57,20),(57,35),(57,76),(58,24),(58,32),(58,73),(59,36),(59,39),(60,45),(60,46),(61,43),(61,50),(61,63),(62,42),(62,50),(62,60),(63,49),(63,51),(63,59),(64,84),(65,30),(65,88),(65,89),(66,58),(66,86),(66,89),(66,94),(67,31),(67,92),(67,99),(68,78),(69,56),(69,57),(69,82),(69,93),(70,74),(70,85),(70,92),(71,31),(71,81),(71,85),(72,29),(72,87),(72,102),(73,83),(73,87),(74,91),(74,101),(75,27),(75,101),(76,55),(76,95),(76,97),(77,28),(77,102),(78,84),(79,100),(80,86),(80,88),(80,95),(81,79),(81,91),(82,25),(82,76),(82,80),(83,99),(85,54),(85,91),(85,96),(86,24),(86,90),(86,98),(87,75),(87,99),(88,77),(88,90),(89,72),(89,73),(89,90),(90,83),(90,102),(91,26),(91,100),(92,40),(92,96),(92,101),(93,35),(93,65),(93,66),(93,80),(94,32),(94,53),(94,72),(94,98),(95,34),(95,77),(95,98),(96,38),(96,47),(96,100),(97,37),(97,41),(97,98),(98,67),(98,70),(98,71),(98,102),(99,79),(99,101),(100,64),(100,78),(101,68),(101,100),(102,74),(102,81),(102,99)],103)
[[2,5,5,5,5]]=>([(0,1),(1,5),(1,6),(2,61),(3,60),(4,33),(5,7),(5,62),(6,8),(6,62),(7,9),(7,63),(8,11),(8,65),(9,10),(9,64),(10,52),(11,53),(12,43),(12,56),(13,21),(13,59),(14,46),(14,57),(15,25),(15,42),(16,32),(16,58),(17,44),(17,45),(18,90),(19,12),(19,96),(19,99),(20,15),(20,77),(20,94),(21,74),(22,68),(23,69),(23,87),(24,88),(24,99),(25,70),(26,83),(27,76),(27,77),(28,75),(28,78),(29,80),(29,98),(30,2),(30,86),(31,4),(31,85),(32,3),(32,81),(34,21),(34,91),(35,20),(35,69),(35,89),(36,26),(36,73),(37,30),(37,73),(38,31),(38,68),(39,28),(39,96),(39,97),(40,34),(40,66),(41,18),(41,66),(42,47),(42,70),(43,30),(43,72),(44,16),(44,48),(44,71),(45,14),(45,54),(45,71),(46,13),(46,34),(46,67),(47,31),(47,79),(48,32),(48,84),(49,18),(49,82),(50,49),(50,84),(51,50),(51,55),(51,71),(52,40),(52,41),(53,48),(53,50),(54,40),(54,46),(54,95),(55,41),(55,49),(55,95),(56,20),(56,27),(56,72),(57,19),(57,24),(57,67),(58,19),(58,39),(58,81),(59,23),(59,35),(59,74),(60,36),(60,37),(61,22),(61,38),(62,17),(62,63),(62,65),(63,45),(63,51),(63,64),(64,52),(64,54),(64,55),(65,44),(65,51),(65,53),(66,28),(66,90),(66,91),(67,59),(67,88),(67,91),(67,96),(68,85),(69,29),(69,94),(69,101),(70,79),(71,57),(71,58),(71,84),(71,95),(72,76),(72,86),(72,94),(73,29),(73,83),(73,86),(74,87),(74,89),(75,27),(75,89),(75,104),(76,93),(76,103),(77,25),(77,103),(78,26),(78,104),(79,85),(80,102),(81,60),(81,97),(81,99),(82,88),(82,90),(82,97),(83,80),(83,93),(84,24),(84,81),(84,82),(85,33),(86,61),(86,93),(86,98),(87,101),(88,23),(88,92),(88,100),(89,77),(89,101),(90,78),(90,92),(91,74),(91,75),(91,92),(92,87),(92,104),(93,22),(93,102),(94,42),(94,98),(94,103),(95,39),(95,66),(95,67),(95,82),(96,35),(96,56),(96,75),(96,100),(97,36),(97,78),(97,100),(98,38),(98,47),(98,102),(99,37),(99,43),(99,100),(100,69),(100,72),(100,73),(100,104),(101,80),(101,103),(102,68),(102,79),(103,70),(103,102),(104,76),(104,83),(104,101)],105)
[[3,3,3,3,5]]=>([(0,1),(1,3),(1,4),(2,19),(3,8),(3,33),(4,9),(4,33),(5,35),(6,34),(7,6),(7,38),(8,7),(8,37),(9,5),(9,36),(10,24),(10,25),(11,23),(11,26),(12,15),(12,22),(13,45),(14,39),(15,2),(15,50),(17,42),(18,43),(19,16),(20,21),(20,39),(21,13),(21,46),(22,17),(22,50),(23,18),(23,49),(24,14),(24,48),(25,11),(25,30),(25,48),(26,12),(26,27),(26,49),(27,15),(27,41),(28,27),(28,44),(29,13),(29,44),(30,26),(30,28),(30,40),(31,20),(31,32),(31,48),(32,21),(32,29),(32,40),(33,10),(33,36),(33,37),(34,28),(34,29),(35,14),(35,20),(36,24),(36,31),(36,35),(37,25),(37,31),(37,38),(38,30),(38,32),(38,34),(39,18),(39,46),(40,44),(40,46),(40,49),(41,47),(41,50),(42,16),(43,17),(43,47),(44,41),(44,45),(45,47),(46,43),(46,45),(47,42),(48,23),(48,39),(48,40),(49,22),(49,41),(49,43),(50,19),(50,42)],51)
[[3,3,3,4,5]]=>([(0,1),(1,3),(1,4),(2,38),(3,8),(3,35),(4,9),(4,35),(5,43),(6,42),(7,6),(7,44),(8,7),(8,46),(9,5),(9,45),(10,28),(10,29),(11,32),(11,41),(12,18),(12,39),(13,23),(13,40),(14,48),(14,63),(15,48),(15,66),(16,47),(17,47),(18,49),(19,54),(19,65),(20,54),(20,67),(21,51),(21,59),(22,53),(23,2),(23,52),(24,18),(24,62),(25,22),(25,64),(26,31),(26,64),(27,30),(27,62),(28,11),(28,36),(28,50),(29,12),(29,24),(29,50),(30,22),(30,56),(31,23),(31,58),(32,13),(32,31),(32,55),(33,21),(33,61),(33,65),(34,27),(34,37),(34,50),(35,10),(35,45),(35,46),(36,26),(36,32),(36,57),(37,25),(37,30),(37,57),(38,16),(38,17),(39,19),(39,33),(39,49),(40,14),(40,15),(40,52),(41,19),(41,20),(41,55),(42,25),(42,26),(43,24),(43,27),(44,36),(44,37),(44,42),(45,29),(45,34),(45,43),(46,28),(46,34),(46,44),(48,68),(49,54),(49,61),(50,39),(50,41),(50,57),(50,62),(51,66),(51,70),(52,38),(52,63),(52,66),(53,59),(53,60),(54,69),(55,40),(55,58),(55,65),(55,67),(56,53),(56,61),(56,67),(57,33),(57,55),(57,56),(57,64),(58,51),(58,52),(58,60),(59,70),(60,63),(60,70),(61,59),(61,69),(62,20),(62,49),(62,56),(63,16),(63,68),(64,21),(64,53),(64,58),(65,15),(65,51),(65,69),(66,17),(66,68),(67,14),(67,60),(67,69),(68,47),(69,48),(69,70),(70,68)],71)
[[3,3,3,5,5]]=>([(0,1),(1,4),(1,5),(2,45),(3,44),(4,9),(4,41),(5,10),(5,41),(6,49),(7,50),(8,7),(8,53),(9,8),(9,51),(10,6),(10,52),(11,33),(11,34),(12,25),(12,46),(13,37),(13,48),(14,28),(14,47),(15,71),(15,73),(16,67),(16,75),(17,67),(17,77),(18,71),(18,76),(19,54),(20,70),(22,68),(23,69),(24,68),(25,3),(25,55),(26,57),(26,72),(27,58),(28,2),(28,59),(29,25),(29,66),(30,27),(30,74),(31,36),(31,74),(32,35),(32,66),(33,13),(33,42),(33,56),(34,12),(34,29),(34,56),(35,27),(35,61),(36,28),(36,62),(37,14),(37,36),(37,60),(38,26),(38,65),(38,75),(39,19),(39,69),(40,32),(40,43),(40,56),(41,11),(41,51),(41,52),(42,31),(42,37),(42,63),(43,30),(43,35),(43,63),(44,23),(44,39),(45,22),(45,24),(46,16),(46,38),(46,55),(47,15),(47,18),(47,59),(48,16),(48,17),(48,60),(49,29),(49,32),(50,30),(50,31),(51,33),(51,40),(51,53),(52,34),(52,40),(52,49),(53,42),(53,43),(53,50),(54,70),(55,44),(55,65),(55,67),(56,46),(56,48),(56,63),(56,66),(57,76),(57,80),(58,64),(58,72),(59,45),(59,73),(59,76),(60,47),(60,62),(60,75),(60,77),(61,58),(61,65),(61,77),(62,57),(62,59),(62,64),(63,38),(63,60),(63,61),(63,74),(64,73),(64,80),(65,39),(65,72),(65,78),(66,17),(66,55),(66,61),(67,23),(67,78),(68,21),(69,20),(69,54),(70,21),(71,20),(71,79),(72,19),(72,80),(73,22),(73,79),(74,26),(74,58),(74,62),(75,18),(75,57),(75,78),(76,24),(76,79),(77,15),(77,64),(77,78),(78,69),(78,71),(78,80),(79,68),(79,70),(80,54),(80,79)],81)
[[3,3,4,4,5]]=>([(0,1),(1,3),(1,4),(2,43),(3,8),(3,40),(4,9),(4,40),(5,48),(6,49),(7,6),(7,52),(8,7),(8,50),(9,5),(9,51),(10,31),(10,32),(11,26),(11,47),(12,35),(12,46),(13,21),(13,45),(14,20),(14,44),(15,54),(15,75),(16,73),(16,77),(17,69),(17,78),(18,56),(19,68),(19,74),(20,57),(21,53),(22,60),(23,58),(23,74),(24,59),(25,14),(25,62),(25,73),(26,2),(26,63),(27,24),(27,76),(28,34),(28,76),(29,21),(29,72),(30,33),(30,72),(31,12),(31,41),(31,55),(32,13),(32,29),(32,55),(33,24),(33,64),(34,26),(34,65),(35,11),(35,34),(35,67),(36,22),(36,56),(37,19),(37,54),(37,61),(38,17),(38,62),(38,71),(39,30),(39,42),(39,55),(40,10),(40,50),(40,51),(41,28),(41,35),(41,66),(42,27),(42,33),(42,66),(43,18),(43,36),(44,19),(44,23),(44,57),(45,25),(45,38),(45,53),(46,16),(46,25),(46,67),(47,15),(47,37),(47,63),(48,29),(48,30),(49,27),(49,28),(50,31),(50,39),(50,52),(51,32),(51,39),(51,48),(52,41),(52,42),(52,49),(53,71),(53,73),(54,68),(54,81),(55,45),(55,46),(55,66),(55,72),(56,60),(57,58),(57,68),(58,82),(59,69),(59,70),(61,36),(61,74),(61,81),(62,37),(62,44),(62,78),(62,80),(63,43),(63,61),(63,75),(64,59),(64,71),(64,77),(65,63),(65,70),(65,78),(66,38),(66,64),(66,67),(66,76),(67,47),(67,62),(67,65),(67,77),(68,82),(69,79),(70,75),(70,79),(71,69),(71,80),(72,16),(72,53),(72,64),(73,20),(73,80),(74,22),(74,82),(75,18),(75,81),(76,17),(76,59),(76,65),(77,15),(77,70),(77,80),(78,23),(78,61),(78,79),(79,58),(79,81),(80,54),(80,57),(80,79),(81,56),(81,82),(82,60)],83)
[[3,3,4,5,5]]=>([(0,1),(1,4),(1,5),(2,50),(3,51),(4,9),(4,47),(5,10),(5,47),(6,56),(7,57),(8,7),(8,60),(9,8),(9,58),(10,6),(10,59),(11,35),(11,36),(12,39),(12,55),(13,22),(13,53),(14,29),(14,54),(15,43),(15,52),(16,90),(16,93),(17,86),(17,89),(18,63),(19,80),(19,85),(20,61),(21,83),(22,3),(22,64),(23,71),(23,92),(24,69),(24,88),(25,73),(25,88),(26,70),(27,72),(28,68),(29,2),(29,76),(30,15),(30,66),(30,71),(31,22),(31,84),(32,28),(32,91),(33,37),(33,91),(34,38),(34,84),(35,12),(35,48),(35,62),(36,13),(36,31),(36,62),(37,29),(37,75),(38,28),(38,74),(39,14),(39,37),(39,77),(40,26),(40,87),(41,20),(41,87),(42,18),(42,83),(43,26),(43,65),(44,16),(44,66),(44,79),(45,24),(45,67),(45,86),(46,34),(46,49),(46,62),(47,11),(47,58),(47,59),(48,33),(48,39),(48,78),(49,32),(49,38),(49,78),(50,21),(50,42),(51,40),(51,41),(52,24),(52,25),(52,65),(53,30),(53,44),(53,64),(54,17),(54,45),(54,76),(55,23),(55,30),(55,77),(56,31),(56,34),(57,32),(57,33),(58,35),(58,46),(58,60),(59,36),(59,46),(59,56),(60,48),(60,49),(60,57),(61,82),(61,85),(62,53),(62,55),(62,78),(62,84),(63,72),(64,51),(64,71),(64,79),(65,69),(65,70),(65,73),(66,45),(66,52),(66,93),(66,97),(67,42),(67,88),(67,96),(68,81),(68,90),(69,80),(69,98),(70,80),(70,82),(71,40),(71,43),(71,97),(73,82),(73,98),(74,68),(74,79),(74,92),(75,76),(75,81),(75,93),(76,50),(76,67),(76,89),(77,54),(77,66),(77,75),(77,92),(78,44),(78,74),(78,77),(78,91),(79,41),(79,90),(79,97),(80,95),(81,89),(81,94),(82,95),(83,27),(83,63),(84,23),(84,64),(84,74),(85,27),(85,95),(86,19),(86,69),(86,96),(87,19),(87,61),(87,70),(88,18),(88,98),(89,21),(89,96),(90,20),(90,94),(91,16),(91,68),(91,75),(92,17),(92,81),(92,97),(93,25),(93,67),(93,94),(94,61),(94,73),(94,96),(95,72),(96,83),(96,85),(96,98),(97,65),(97,86),(97,87),(97,94),(98,63),(98,95)],99)
[[3,3,5,5,5]]=>([(0,1),(1,5),(1,6),(2,60),(3,61),(4,59),(5,7),(5,62),(6,8),(6,62),(7,9),(7,63),(8,10),(8,65),(9,11),(9,64),(10,52),(11,51),(12,43),(12,58),(13,34),(13,57),(14,32),(14,55),(15,47),(15,56),(16,39),(16,40),(18,90),(18,94),(19,87),(19,97),(20,92),(20,99),(21,67),(22,66),(23,88),(24,88),(25,85),(26,89),(27,72),(27,96),(28,71),(28,93),(29,73),(29,93),(30,75),(31,15),(31,72),(31,76),(32,3),(32,69),(33,4),(33,77),(34,2),(34,80),(35,30),(35,95),(36,42),(36,86),(37,41),(37,95),(38,32),(38,86),(39,12),(39,53),(39,68),(40,14),(40,38),(40,68),(41,34),(41,79),(42,30),(42,78),(43,13),(43,41),(43,81),(44,22),(44,91),(45,33),(45,91),(46,21),(46,85),(47,33),(47,70),(48,29),(48,74),(48,90),(49,20),(49,76),(49,84),(50,36),(50,54),(50,68),(51,35),(51,37),(52,36),(52,38),(53,37),(53,43),(53,82),(54,35),(54,42),(54,82),(55,31),(55,49),(55,69),(56,28),(56,29),(56,70),(57,18),(57,48),(57,80),(58,27),(58,31),(58,81),(59,23),(59,24),(60,25),(60,46),(61,44),(61,45),(62,16),(62,63),(62,65),(63,39),(63,50),(63,64),(64,51),(64,53),(64,54),(65,40),(65,50),(65,52),(66,87),(66,98),(67,89),(68,55),(68,58),(68,82),(68,86),(69,61),(69,72),(69,84),(70,71),(70,73),(70,77),(71,98),(71,104),(72,45),(72,47),(72,103),(73,97),(73,104),(74,46),(74,93),(74,102),(75,83),(75,92),(76,48),(76,56),(76,99),(76,103),(77,59),(77,97),(77,98),(78,75),(78,84),(78,96),(79,80),(79,83),(79,99),(80,60),(80,74),(80,94),(81,57),(81,76),(81,79),(81,96),(82,49),(82,78),(82,81),(82,95),(83,94),(83,101),(84,44),(84,92),(84,103),(85,26),(85,67),(86,27),(86,69),(86,78),(87,26),(87,100),(88,17),(89,17),(90,19),(90,73),(90,102),(91,19),(91,66),(91,77),(92,22),(92,101),(93,21),(93,104),(94,25),(94,102),(95,20),(95,75),(95,79),(96,18),(96,83),(96,103),(97,24),(97,100),(98,23),(98,100),(99,28),(99,74),(99,101),(100,88),(100,89),(101,66),(101,71),(101,102),(102,85),(102,87),(102,104),(103,70),(103,90),(103,91),(103,101),(104,67),(104,100)],105)
[[3,4,4,4,5]]=>([(0,1),(1,3),(1,4),(2,48),(3,8),(3,46),(4,9),(4,46),(5,53),(6,52),(7,6),(7,56),(8,7),(8,54),(9,5),(9,55),(10,21),(10,51),(11,38),(11,49),(12,36),(12,37),(13,24),(13,35),(14,25),(14,47),(15,20),(15,50),(16,74),(17,73),(18,13),(18,78),(18,84),(19,14),(19,65),(19,81),(20,70),(21,2),(21,66),(22,59),(22,76),(23,63),(24,60),(25,61),(26,65),(26,75),(27,67),(27,77),(28,69),(28,84),(29,21),(29,79),(30,40),(30,63),(31,27),(31,72),(31,81),(32,18),(32,59),(32,83),(33,29),(33,57),(34,16),(34,57),(35,17),(35,60),(36,15),(36,39),(36,62),(37,11),(37,43),(37,62),(38,10),(38,29),(38,58),(39,20),(39,71),(40,17),(40,68),(41,16),(41,64),(42,41),(42,71),(43,33),(43,38),(43,82),(44,42),(44,45),(44,62),(45,34),(45,41),(45,82),(46,12),(46,54),(46,55),(47,18),(47,28),(47,61),(48,23),(48,30),(49,19),(49,26),(49,58),(50,19),(50,31),(50,70),(51,22),(51,32),(51,66),(52,33),(52,34),(53,39),(53,42),(54,37),(54,44),(54,56),(55,36),(55,44),(55,53),(56,43),(56,45),(56,52),(57,27),(57,74),(57,79),(58,51),(58,75),(58,79),(58,81),(59,78),(59,85),(60,73),(61,69),(61,78),(62,49),(62,50),(62,71),(62,82),(63,68),(64,72),(64,74),(64,75),(65,25),(65,86),(66,48),(66,76),(66,83),(67,28),(67,83),(67,87),(68,73),(69,88),(70,65),(70,72),(71,26),(71,64),(71,70),(72,77),(72,86),(74,77),(74,80),(75,22),(75,80),(75,86),(76,23),(76,85),(77,87),(78,24),(78,88),(79,66),(79,67),(79,80),(80,76),(80,87),(81,32),(81,47),(81,67),(81,86),(82,31),(82,57),(82,58),(82,64),(83,30),(83,84),(83,85),(84,35),(84,40),(84,88),(85,63),(85,88),(86,59),(86,61),(86,87),(87,69),(87,85),(88,60),(88,68)],89)
[[3,4,4,5,5]]=>([(0,1),(1,4),(1,5),(2,57),(3,56),(4,9),(4,54),(5,10),(5,54),(6,62),(7,61),(8,7),(8,65),(9,8),(9,63),(10,6),(10,64),(11,41),(11,43),(12,44),(12,45),(13,46),(13,58),(14,42),(14,55),(15,22),(15,60),(16,23),(16,59),(17,88),(18,91),(19,90),(20,14),(20,98),(20,102),(21,11),(21,96),(21,101),(22,2),(22,78),(23,3),(23,80),(24,89),(24,102),(25,68),(25,87),(26,70),(27,85),(28,79),(29,77),(29,101),(30,75),(30,76),(31,82),(32,81),(32,83),(33,30),(33,98),(33,100),(34,22),(34,92),(35,21),(35,68),(35,99),(36,49),(36,70),(37,27),(37,72),(38,34),(38,67),(39,18),(39,72),(40,19),(40,67),(41,28),(41,69),(42,18),(42,73),(43,17),(43,69),(44,16),(44,47),(44,71),(45,13),(45,51),(45,71),(46,15),(46,34),(46,66),(47,23),(47,86),(48,50),(48,86),(49,17),(49,84),(50,19),(50,74),(51,38),(51,46),(51,97),(52,48),(52,53),(52,71),(53,40),(53,50),(53,97),(54,12),(54,63),(54,64),(55,21),(55,29),(55,73),(56,37),(56,39),(57,26),(57,36),(58,20),(58,24),(58,66),(59,20),(59,33),(59,80),(60,25),(60,35),(60,78),(61,38),(61,40),(62,47),(62,48),(63,45),(63,52),(63,65),(64,44),(64,52),(64,62),(65,51),(65,53),(65,61),(66,60),(66,89),(66,92),(66,98),(67,30),(67,90),(67,92),(68,32),(68,96),(68,104),(69,79),(69,88),(70,31),(70,84),(71,58),(71,59),(71,86),(71,97),(72,32),(72,85),(72,91),(73,77),(73,91),(73,96),(74,89),(74,90),(74,100),(75,27),(75,106),(76,29),(76,99),(76,106),(77,94),(77,105),(78,57),(78,87),(78,99),(79,93),(80,56),(80,100),(80,102),(81,31),(81,107),(82,93),(83,28),(83,107),(84,82),(84,88),(85,81),(85,94),(86,24),(86,74),(86,80),(87,26),(87,104),(88,93),(89,25),(89,95),(89,103),(90,75),(90,95),(91,83),(91,94),(92,76),(92,78),(92,95),(94,107),(95,87),(95,106),(96,41),(96,83),(96,105),(97,33),(97,66),(97,67),(97,74),(98,35),(98,55),(98,76),(98,103),(99,36),(99,101),(99,104),(100,37),(100,75),(100,103),(101,43),(101,49),(101,105),(102,39),(102,42),(102,103),(103,68),(103,72),(103,73),(103,106),(104,70),(104,81),(104,105),(105,69),(105,84),(105,107),(106,77),(106,85),(106,104),(107,79),(107,82)],108)
[[3,4,5,5,5]]=>([(0,1),(1,5),(1,6),(2,65),(3,67),(4,66),(5,7),(5,68),(6,8),(6,68),(7,9),(7,69),(8,10),(8,71),(9,11),(9,70),(10,56),(11,58),(12,46),(12,47),(13,45),(13,61),(14,50),(14,62),(15,34),(15,64),(16,35),(16,63),(17,48),(17,49),(18,99),(19,95),(20,94),(21,13),(21,106),(21,111),(22,12),(22,104),(22,110),(23,75),(23,97),(24,98),(24,111),(25,78),(26,74),(27,90),(28,82),(28,110),(29,81),(29,83),(30,93),(31,86),(32,85),(32,109),(33,3),(33,96),(34,4),(34,88),(35,2),(35,87),(36,27),(36,80),(37,33),(37,80),(38,22),(38,75),(38,107),(39,34),(39,100),(40,52),(40,78),(41,20),(41,74),(42,29),(42,106),(42,108),(43,39),(43,73),(44,18),(44,73),(45,33),(45,79),(46,51),(46,76),(47,19),(47,76),(48,16),(48,54),(48,77),(49,14),(49,59),(49,77),(50,15),(50,39),(50,72),(51,20),(51,84),(52,19),(52,91),(53,18),(53,89),(54,35),(54,92),(55,53),(55,92),(56,54),(56,55),(57,55),(57,60),(57,77),(58,43),(58,44),(59,43),(59,50),(59,105),(60,44),(60,53),(60,105),(61,22),(61,28),(61,79),(62,21),(62,24),(62,72),(63,21),(63,42),(63,87),(64,23),(64,38),(64,88),(65,36),(65,37),(66,25),(66,40),(67,26),(67,41),(68,17),(68,69),(68,71),(69,49),(69,57),(69,70),(70,58),(70,59),(70,60),(71,48),(71,56),(71,57),(72,64),(72,98),(72,100),(72,106),(73,29),(73,99),(73,100),(74,30),(74,94),(75,32),(75,104),(75,113),(76,84),(76,95),(77,62),(77,63),(77,92),(77,105),(78,31),(78,91),(79,82),(79,96),(79,104),(80,32),(80,90),(80,96),(81,27),(81,116),(82,103),(82,114),(83,28),(83,107),(83,116),(84,94),(84,101),(85,31),(85,115),(86,30),(86,101),(87,65),(87,108),(87,111),(88,66),(88,97),(88,107),(89,98),(89,99),(89,108),(90,85),(90,103),(91,86),(91,95),(92,24),(92,87),(92,89),(94,93),(95,101),(96,67),(96,103),(96,109),(97,25),(97,113),(98,23),(98,102),(98,112),(99,81),(99,102),(100,83),(100,88),(100,102),(101,93),(102,97),(102,116),(103,26),(103,115),(104,46),(104,109),(104,114),(105,42),(105,72),(105,73),(105,89),(106,38),(106,61),(106,83),(106,112),(107,40),(107,110),(107,113),(108,36),(108,81),(108,112),(109,41),(109,51),(109,115),(110,47),(110,52),(110,114),(111,37),(111,45),(111,112),(112,75),(112,79),(112,80),(112,116),(113,78),(113,85),(113,114),(114,76),(114,91),(114,115),(115,74),(115,84),(115,86),(116,82),(116,90),(116,113)],117)
[[3,5,5,5,5]]=>([(0,1),(1,6),(1,7),(2,68),(3,69),(4,70),(5,58),(6,8),(6,71),(7,9),(7,71),(8,10),(8,72),(9,11),(9,74),(10,12),(10,73),(11,60),(12,61),(13,48),(13,64),(14,47),(14,49),(15,52),(15,65),(16,36),(16,67),(17,37),(17,66),(18,50),(18,51),(19,101),(20,97),(21,13),(21,108),(21,114),(22,14),(22,106),(22,113),(23,78),(23,99),(24,100),(24,114),(25,81),(26,77),(28,94),(29,85),(29,113),(30,84),(30,86),(31,90),(32,93),(33,89),(33,112),(34,4),(34,98),(35,5),(35,109),(36,3),(36,91),(37,2),(37,88),(38,36),(38,102),(39,28),(39,83),(40,22),(40,78),(40,110),(41,34),(41,83),(42,53),(42,81),(43,35),(43,77),(44,30),(44,108),(44,111),(45,38),(45,76),(46,19),(46,76),(47,54),(47,79),(48,34),(48,82),(49,20),(49,79),(50,17),(50,55),(50,80),(51,15),(51,62),(51,80),(52,16),(52,38),(52,75),(53,20),(53,95),(54,35),(54,87),(55,37),(55,96),(56,19),(56,92),(57,56),(57,96),(58,27),(59,57),(59,63),(59,80),(60,55),(60,57),(61,45),(61,46),(62,45),(62,52),(62,107),(63,46),(63,56),(63,107),(64,22),(64,29),(64,82),(65,21),(65,24),(65,75),(66,21),(66,44),(66,88),(67,23),(67,40),(67,91),(68,39),(68,41),(69,25),(69,42),(70,26),(70,43),(71,18),(71,72),(71,74),(72,51),(72,59),(72,73),(73,61),(73,62),(73,63),(74,50),(74,59),(74,60),(75,67),(75,100),(75,102),(75,108),(76,30),(76,101),(76,102),(77,32),(77,109),(78,33),(78,106),(78,116),(79,87),(79,97),(80,65),(80,66),(80,96),(80,107),(81,31),(81,95),(82,85),(82,98),(82,106),(83,33),(83,94),(83,98),(84,28),(84,119),(85,104),(85,117),(86,29),(86,110),(86,119),(87,105),(87,109),(88,68),(88,111),(88,114),(89,31),(89,118),(90,32),(90,105),(91,69),(91,99),(91,110),(92,100),(92,101),(92,111),(93,27),(94,89),(94,104),(95,90),(95,97),(96,24),(96,88),(96,92),(97,105),(98,70),(98,104),(98,112),(99,25),(99,116),(100,23),(100,103),(100,115),(101,84),(101,103),(102,86),(102,91),(102,103),(103,99),(103,119),(104,26),(104,118),(105,93),(106,47),(106,112),(106,117),(107,44),(107,75),(107,76),(107,92),(108,40),(108,64),(108,86),(108,115),(109,58),(109,93),(110,42),(110,113),(110,116),(111,39),(111,84),(111,115),(112,43),(112,54),(112,118),(113,49),(113,53),(113,117),(114,41),(114,48),(114,115),(115,78),(115,82),(115,83),(115,119),(116,81),(116,89),(116,117),(117,79),(117,95),(117,118),(118,77),(118,87),(118,90),(119,85),(119,94),(119,116)],120)
[[4,4,4,4,5]]=>([(0,1),(1,4),(1,5),(2,22),(3,49),(4,9),(4,46),(5,10),(5,46),(6,54),(7,55),(8,7),(8,58),(9,8),(9,56),(10,6),(10,57),(11,24),(11,41),(12,35),(12,36),(13,29),(13,53),(14,39),(14,52),(15,25),(15,51),(16,23),(16,50),(17,61),(17,83),(18,63),(19,81),(19,86),(20,77),(20,85),(21,2),(21,82),(23,64),(24,59),(25,60),(26,66),(27,16),(27,69),(27,81),(28,11),(28,67),(28,79),(29,3),(29,70),(30,65),(30,67),(31,25),(31,80),(32,26),(32,84),(33,38),(33,84),(34,37),(34,80),(35,14),(35,47),(35,62),(36,15),(36,31),(36,62),(37,26),(37,71),(38,29),(38,72),(39,13),(39,38),(39,74),(40,43),(40,63),(41,21),(41,59),(42,28),(42,61),(42,73),(43,21),(43,68),(44,20),(44,69),(44,78),(45,34),(45,48),(45,62),(46,12),(46,56),(46,57),(47,33),(47,39),(47,75),(48,32),(48,37),(48,75),(49,18),(49,40),(50,28),(50,30),(50,64),(51,27),(51,44),(51,60),(52,19),(52,27),(52,74),(53,17),(53,42),(53,70),(54,31),(54,34),(55,32),(55,33),(56,35),(56,45),(56,58),(57,36),(57,45),(57,54),(58,47),(58,48),(58,55),(59,82),(60,78),(60,81),(61,79),(61,89),(62,51),(62,52),(62,75),(62,80),(63,68),(64,65),(64,79),(65,90),(66,76),(66,77),(67,41),(67,43),(67,90),(68,82),(69,42),(69,50),(69,85),(69,88),(70,49),(70,73),(70,83),(71,66),(71,78),(71,86),(72,70),(72,76),(72,85),(73,40),(73,67),(73,89),(74,53),(74,69),(74,72),(74,86),(75,44),(75,71),(75,74),(75,84),(76,83),(76,87),(77,87),(78,77),(78,88),(79,24),(79,90),(80,19),(80,60),(80,71),(81,23),(81,88),(82,22),(83,18),(83,89),(84,20),(84,66),(84,72),(85,30),(85,73),(85,87),(86,17),(86,76),(86,88),(87,65),(87,89),(88,61),(88,64),(88,87),(89,63),(89,90),(90,59),(90,68)],91)
[[4,4,4,5,5]]=>([(0,1),(1,5),(1,6),(2,64),(3,63),(4,53),(5,7),(5,65),(6,8),(6,65),(7,9),(7,66),(8,10),(8,68),(9,11),(9,67),(10,54),(11,56),(12,44),(12,45),(13,43),(13,59),(14,48),(14,60),(15,33),(15,62),(16,34),(16,61),(17,46),(17,47),(18,94),(19,93),(20,13),(20,100),(20,105),(21,12),(21,98),(21,104),(22,74),(23,71),(23,91),(24,92),(24,105),(26,88),(27,81),(28,80),(28,104),(29,78),(29,79),(30,83),(31,82),(31,86),(32,4),(32,101),(33,2),(33,84),(34,3),(34,85),(35,21),(35,71),(35,102),(36,49),(36,74),(37,29),(37,100),(37,103),(38,33),(38,95),(39,26),(39,75),(40,18),(40,75),(41,38),(41,70),(42,19),(42,70),(43,18),(43,76),(44,32),(44,72),(45,27),(45,72),(46,16),(46,51),(46,73),(47,14),(47,57),(47,73),(48,15),(48,38),(48,69),(49,32),(49,87),(50,19),(50,77),(51,34),(51,89),(52,50),(52,89),(53,25),(54,51),(54,52),(55,52),(55,58),(55,73),(56,41),(56,42),(57,41),(57,48),(57,99),(58,42),(58,50),(58,99),(59,21),(59,28),(59,76),(60,20),(60,24),(60,69),(61,20),(61,37),(61,85),(62,23),(62,35),(62,84),(63,39),(63,40),(64,22),(64,36),(65,17),(65,66),(65,68),(66,47),(66,55),(66,67),(67,56),(67,57),(67,58),(68,46),(68,54),(68,55),(69,62),(69,92),(69,95),(69,100),(70,29),(70,93),(70,95),(71,31),(71,98),(71,107),(72,81),(72,101),(73,60),(73,61),(73,89),(73,99),(74,30),(74,87),(75,31),(75,88),(75,94),(76,80),(76,94),(76,98),(77,92),(77,93),(77,103),(78,26),(78,109),(79,28),(79,102),(79,109),(80,96),(80,108),(81,90),(82,30),(82,110),(83,90),(84,64),(84,91),(84,102),(85,63),(85,103),(85,105),(86,27),(86,110),(87,83),(87,101),(88,82),(88,96),(89,24),(89,77),(89,85),(90,25),(91,22),(91,107),(92,23),(92,97),(92,106),(93,78),(93,97),(94,86),(94,96),(95,79),(95,84),(95,97),(96,110),(97,91),(97,109),(98,45),(98,86),(98,108),(99,37),(99,69),(99,70),(99,77),(100,35),(100,59),(100,79),(100,106),(101,53),(101,90),(102,36),(102,104),(102,107),(103,39),(103,78),(103,106),(104,44),(104,49),(104,108),(105,40),(105,43),(105,106),(106,71),(106,75),(106,76),(106,109),(107,74),(107,82),(107,108),(108,72),(108,87),(108,110),(109,80),(109,88),(109,107),(110,81),(110,83)],111)
[[4,4,5,5,5]]=>([(0,1),(1,6),(1,7),(2,69),(3,70),(4,71),(5,59),(6,8),(6,72),(7,9),(7,72),(8,10),(8,73),(9,11),(9,75),(10,12),(10,74),(11,61),(12,62),(13,49),(13,65),(14,48),(14,50),(15,53),(15,66),(16,36),(16,68),(17,37),(17,67),(18,51),(18,52),(19,102),(20,101),(21,13),(21,108),(21,115),(22,14),(22,106),(22,113),(24,79),(24,99),(25,100),(25,115),(26,82),(27,78),(28,95),(29,87),(29,113),(30,85),(30,86),(31,91),(32,94),(33,90),(33,114),(34,5),(34,109),(35,4),(35,98),(36,3),(36,92),(37,2),(37,89),(38,22),(38,79),(38,110),(39,36),(39,103),(40,28),(40,84),(41,35),(41,84),(42,55),(42,82),(43,20),(43,78),(44,30),(44,108),(44,112),(45,39),(45,77),(46,19),(46,77),(47,23),(48,54),(48,80),(49,35),(49,83),(50,34),(50,80),(51,17),(51,56),(51,81),(52,15),(52,63),(52,81),(53,16),(53,39),(53,76),(54,20),(54,88),(55,34),(55,96),(56,37),(56,97),(57,19),(57,93),(58,57),(58,97),(59,47),(60,58),(60,64),(60,81),(61,56),(61,58),(62,45),(62,46),(63,45),(63,53),(63,107),(64,46),(64,57),(64,107),(65,22),(65,29),(65,83),(66,21),(66,25),(66,76),(67,21),(67,44),(67,89),(68,24),(68,38),(68,92),(69,40),(69,41),(70,26),(70,42),(71,27),(71,43),(72,18),(72,73),(72,75),(73,52),(73,60),(73,74),(74,62),(74,63),(74,64),(75,51),(75,60),(75,61),(76,68),(76,100),(76,103),(76,108),(77,30),(77,102),(77,103),(78,32),(78,101),(79,33),(79,106),(79,117),(80,88),(80,109),(81,66),(81,67),(81,97),(81,107),(82,31),(82,96),(83,87),(83,98),(83,106),(84,33),(84,95),(84,98),(85,29),(85,110),(85,120),(86,28),(86,120),(87,105),(87,118),(88,101),(88,111),(89,69),(89,112),(89,115),(90,31),(90,119),(91,32),(91,111),(92,70),(92,99),(92,110),(93,100),(93,102),(93,112),(94,23),(95,90),(95,105),(96,91),(96,109),(97,25),(97,89),(97,93),(98,71),(98,105),(98,114),(99,26),(99,117),(100,24),(100,104),(100,116),(101,94),(102,86),(102,104),(103,85),(103,92),(103,104),(104,99),(104,120),(105,27),(105,119),(106,48),(106,114),(106,118),(107,44),(107,76),(107,77),(107,93),(108,38),(108,65),(108,85),(108,116),(109,59),(109,111),(110,42),(110,113),(110,117),(111,47),(111,94),(112,40),(112,86),(112,116),(113,50),(113,55),(113,118),(114,43),(114,54),(114,119),(115,41),(115,49),(115,116),(116,79),(116,83),(116,84),(116,120),(117,82),(117,90),(117,118),(118,80),(118,96),(118,119),(119,78),(119,88),(119,91),(120,87),(120,95),(120,117)],121)
[[4,5,5,5,5]]=>([(0,1),(1,7),(1,8),(2,73),(3,74),(4,75),(5,62),(6,63),(7,9),(7,76),(8,10),(8,76),(9,11),(9,77),(10,12),(10,79),(11,13),(11,78),(12,65),(13,66),(14,52),(14,69),(15,51),(15,53),(16,56),(16,70),(17,37),(17,72),(18,38),(18,71),(19,54),(19,55),(21,104),(22,14),(22,110),(22,119),(23,15),(23,108),(23,117),(24,83),(24,102),(25,103),(25,119),(26,86),(27,82),(28,98),(29,90),(29,117),(30,89),(30,91),(31,116),(32,95),(33,94),(33,118),(34,5),(34,112),(35,6),(35,111),(36,4),(36,101),(37,3),(37,96),(38,2),(38,93),(39,37),(39,105),(40,28),(40,88),(41,23),(41,83),(41,113),(42,36),(42,88),(43,57),(43,86),(44,45),(45,20),(46,34),(46,82),(47,20),(48,30),(48,110),(48,115),(49,39),(49,81),(50,21),(50,81),(51,58),(51,84),(52,36),(52,87),(53,35),(53,84),(54,18),(54,59),(54,85),(55,16),(55,67),(55,85),(56,17),(56,39),(56,80),(57,35),(57,99),(58,34),(58,92),(59,38),(59,100),(60,21),(60,97),(61,60),(61,100),(62,47),(63,44),(64,61),(64,68),(64,85),(65,59),(65,61),(66,49),(66,50),(67,49),(67,56),(67,109),(68,50),(68,60),(68,109),(69,23),(69,29),(69,87),(70,22),(70,25),(70,80),(71,22),(71,48),(71,93),(72,24),(72,41),(72,96),(73,40),(73,42),(74,26),(74,43),(75,27),(75,46),(76,19),(76,77),(76,79),(77,55),(77,64),(77,78),(78,66),(78,67),(78,68),(79,54),(79,64),(79,65),(80,72),(80,103),(80,105),(80,110),(81,30),(81,104),(81,105),(82,31),(82,112),(83,33),(83,108),(83,121),(84,92),(84,111),(85,70),(85,71),(85,100),(85,109),(86,32),(86,99),(87,90),(87,101),(87,108),(88,33),(88,98),(88,101),(89,28),(89,124),(90,107),(90,122),(91,29),(91,113),(91,124),(92,112),(92,114),(93,73),(93,115),(93,119),(94,32),(94,123),(95,31),(95,114),(96,74),(96,102),(96,113),(97,103),(97,104),(97,115),(98,94),(98,107),(99,95),(99,111),(100,25),(100,93),(100,97),(101,75),(101,107),(101,118),(102,26),(102,121),(103,24),(103,106),(103,120),(104,89),(104,106),(105,91),(105,96),(105,106),(106,102),(106,124),(107,27),(107,123),(108,51),(108,118),(108,122),(109,48),(109,80),(109,81),(109,97),(110,41),(110,69),(110,91),(110,120),(111,63),(111,114),(112,62),(112,116),(113,43),(113,117),(113,121),(114,44),(114,116),(115,40),(115,89),(115,120),(116,45),(116,47),(117,53),(117,57),(117,122),(118,46),(118,58),(118,123),(119,42),(119,52),(119,120),(120,83),(120,87),(120,88),(120,124),(121,86),(121,94),(121,122),(122,84),(122,99),(122,123),(123,82),(123,92),(123,95),(124,90),(124,98),(124,121)],125)
[[5,5,5,5,5]]=>([(0,2),(2,8),(2,9),(3,74),(4,75),(5,76),(6,63),(7,64),(8,10),(8,77),(9,11),(9,77),(10,12),(10,78),(11,13),(11,80),(12,14),(12,79),(13,65),(14,67),(15,52),(15,54),(16,57),(16,71),(17,38),(17,73),(18,39),(18,72),(19,53),(19,70),(20,55),(20,56),(21,105),(22,19),(22,111),(22,120),(23,15),(23,109),(23,118),(24,1),(25,84),(25,103),(26,104),(26,120),(27,87),(28,83),(29,99),(30,91),(30,118),(31,90),(31,92),(32,117),(33,96),(34,95),(34,119),(35,6),(35,113),(36,7),(36,112),(37,5),(37,102),(38,4),(38,97),(39,3),(39,94),(40,38),(40,106),(41,29),(41,89),(42,23),(42,84),(42,114),(43,37),(43,89),(44,58),(44,87),(45,46),(46,24),(47,35),(47,83),(48,24),(49,31),(49,111),(49,116),(50,40),(50,82),(51,21),(51,82),(52,59),(52,85),(53,37),(53,88),(54,36),(54,85),(55,18),(55,61),(55,86),(56,16),(56,68),(56,86),(57,17),(57,40),(57,81),(58,36),(58,100),(59,35),(59,93),(60,21),(60,98),(61,39),(61,101),(62,60),(62,101),(63,48),(64,45),(65,61),(65,62),(66,62),(66,69),(66,86),(67,50),(67,51),(68,50),(68,57),(68,110),(69,51),(69,60),(69,110),(70,23),(70,30),(70,88),(71,22),(71,26),(71,81),(72,22),(72,49),(72,94),(73,25),(73,42),(73,97),(74,41),(74,43),(75,27),(75,44),(76,28),(76,47),(77,20),(77,78),(77,80),(78,56),(78,66),(78,79),(79,67),(79,68),(79,69),(80,55),(80,65),(80,66),(81,73),(81,104),(81,106),(81,111),(82,31),(82,105),(82,106),(83,32),(83,113),(84,34),(84,109),(84,122),(85,93),(85,112),(86,71),(86,72),(86,101),(86,110),(87,33),(87,100),(88,91),(88,102),(88,109),(89,34),(89,99),(89,102),(90,29),(90,125),(91,108),(91,123),(92,30),(92,114),(92,125),(93,113),(93,115),(94,74),(94,116),(94,120),(95,33),(95,124),(96,32),(96,115),(97,75),(97,103),(97,114),(98,104),(98,105),(98,116),(99,95),(99,108),(100,96),(100,112),(101,26),(101,94),(101,98),(102,76),(102,108),(102,119),(103,27),(103,122),(104,25),(104,107),(104,121),(105,90),(105,107),(106,92),(106,97),(106,107),(107,103),(107,125),(108,28),(108,124),(109,52),(109,119),(109,123),(110,49),(110,81),(110,82),(110,98),(111,42),(111,70),(111,92),(111,121),(112,64),(112,115),(113,63),(113,117),(114,44),(114,118),(114,122),(115,45),(115,117),(116,41),(116,90),(116,121),(117,46),(117,48),(118,54),(118,58),(118,123),(119,47),(119,59),(119,124),(120,43),(120,53),(120,121),(121,84),(121,88),(121,89),(121,125),(122,87),(122,95),(122,123),(123,85),(123,100),(123,124),(124,83),(124,93),(124,96),(125,91),(125,99),(125,122)],126)
[[1,1,1,1],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,5],[2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,3],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,5],[3]]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[[1,1,1,4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,5],[4]]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
[[1,1,1,5],[5]]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
[[1,1,2,2],[5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,2,5],[2]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,2,3],[5]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,2,5],[3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,1,3,5],[2]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,2,4],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,2,5],[4]]=>([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18)
[[1,1,4,5],[2]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,2,5],[5]]=>([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20)
[[1,1,5,5],[2]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,3,3],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,3,5],[3]]=>([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,12),(6,3),(6,11),(7,1),(7,4),(8,6),(8,12),(9,14),(10,13),(11,9),(11,13),(12,10),(12,11),(13,14)],15)
[[1,1,3,4],[5]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,1,3,5],[4]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[1,1,4,5],[3]]=>([(0,1),(1,3),(1,4),(2,6),(2,17),(3,13),(4,5),(4,13),(5,7),(5,14),(6,15),(7,12),(8,10),(8,11),(9,18),(10,18),(11,18),(12,16),(13,2),(13,14),(14,12),(14,17),(15,9),(15,10),(16,9),(16,11),(17,8),(17,15),(17,16)],19)
[[1,1,3,5],[5]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29)
[[1,1,5,5],[3]]=>([(0,1),(1,4),(1,5),(2,7),(2,19),(3,13),(4,15),(5,6),(5,15),(6,8),(6,17),(7,16),(8,14),(9,11),(9,12),(10,20),(11,20),(12,3),(12,20),(14,18),(15,2),(15,17),(16,10),(16,11),(17,14),(17,19),(18,10),(18,12),(19,9),(19,16),(19,18),(20,13)],21)
[[1,1,4,4],[5]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,1,4,5],[4]]=>([(0,1),(1,4),(1,5),(2,7),(2,19),(3,13),(4,15),(5,6),(5,15),(6,8),(6,17),(7,16),(8,14),(9,11),(9,12),(10,20),(11,20),(12,3),(12,20),(14,18),(15,2),(15,17),(16,10),(16,12),(17,14),(17,19),(18,10),(18,11),(19,9),(19,16),(19,18),(20,13)],21)
[[1,1,4,5],[5]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1,1,5,5],[4]]=>([(0,1),(1,5),(1,6),(2,9),(2,22),(3,16),(4,17),(5,18),(6,8),(6,18),(7,15),(8,7),(8,21),(9,20),(10,13),(10,14),(12,23),(13,3),(13,23),(14,4),(14,23),(15,19),(16,11),(17,11),(18,2),(18,21),(19,12),(19,14),(20,12),(20,13),(21,15),(21,22),(22,10),(22,19),(22,20),(23,16),(23,17)],24)
[[1,1,5,5],[5]]=>([(0,2),(2,4),(2,5),(3,9),(3,23),(4,19),(5,10),(5,19),(6,17),(7,18),(8,16),(9,21),(10,8),(10,22),(11,14),(11,15),(12,1),(13,24),(14,6),(14,24),(15,7),(15,24),(16,20),(17,12),(18,12),(19,3),(19,22),(20,13),(20,15),(21,13),(21,14),(22,16),(22,23),(23,11),(23,20),(23,21),(24,17),(24,18)],25)
[[1,2,2,2],[5]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,2,5],[2]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,2,3],[5]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,2,2,5],[3]]=>([(0,7),(0,8),(1,12),(2,13),(3,10),(3,11),(4,5),(5,1),(5,10),(6,2),(6,11),(7,4),(8,9),(9,3),(9,6),(10,12),(10,17),(11,13),(11,17),(12,15),(13,16),(15,14),(16,14),(17,15),(17,16)],18)
[[1,2,3,5],[2]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,2,2,4],[5]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,2,2,5],[4]]=>([(0,3),(0,4),(1,7),(2,8),(2,10),(3,1),(4,2),(5,20),(6,14),(7,6),(7,17),(8,5),(8,19),(9,13),(9,16),(10,17),(10,19),(11,23),(12,23),(13,22),(14,18),(15,12),(15,22),(16,11),(16,22),(17,14),(17,21),(18,11),(18,12),(19,9),(19,20),(19,21),(20,13),(20,15),(21,15),(21,16),(21,18),(22,23)],24)
[[1,2,4,5],[2]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,2,2,5],[5]]=>([(0,3),(0,4),(1,7),(2,6),(2,11),(3,1),(4,2),(5,19),(6,8),(6,23),(7,9),(7,22),(8,21),(9,16),(10,15),(10,18),(11,22),(11,23),(13,26),(14,26),(15,5),(15,25),(16,20),(17,14),(17,25),(18,13),(18,25),(19,12),(20,13),(20,14),(21,15),(21,17),(22,16),(22,24),(23,10),(23,21),(23,24),(24,17),(24,18),(24,20),(25,19),(25,26),(26,12)],27)
[[1,2,5,5],[2]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,2,3,3],[5]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,2,3,5],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,22),(5,8),(5,28),(6,11),(6,27),(7,10),(7,12),(7,22),(8,24),(9,16),(9,17),(10,26),(10,28),(11,15),(11,21),(12,9),(12,25),(12,26),(13,30),(14,30),(15,29),(16,19),(17,18),(18,13),(19,14),(20,14),(20,29),(21,13),(21,29),(22,6),(22,25),(23,19),(23,20),(24,15),(24,20),(25,17),(25,27),(26,16),(26,23),(27,18),(27,21),(28,23),(28,24),(29,30)],31)
[[1,3,3,5],[2]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,2,3,4],[5]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,2,3,5],[4]]=>([(0,2),(0,3),(1,7),(1,10),(2,1),(3,4),(3,6),(4,25),(5,24),(6,13),(6,25),(7,8),(7,31),(8,28),(9,20),(9,21),(10,29),(10,31),(11,16),(11,30),(12,17),(12,23),(13,9),(13,26),(13,29),(14,35),(15,33),(15,35),(16,34),(17,33),(18,36),(19,17),(20,27),(21,19),(22,14),(22,34),(23,18),(23,33),(24,12),(24,19),(25,5),(25,26),(26,21),(26,24),(27,14),(27,15),(28,16),(28,22),(29,20),(29,32),(30,15),(30,23),(30,34),(31,11),(31,28),(31,32),(32,22),(32,27),(32,30),(33,36),(34,18),(34,35),(35,36)],37)
[[1,2,4,5],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,24),(5,8),(5,32),(6,13),(6,31),(7,11),(7,12),(7,24),(8,26),(9,16),(9,23),(10,19),(10,20),(11,29),(11,32),(12,10),(12,28),(12,29),(13,17),(13,30),(14,35),(15,34),(15,35),(16,34),(17,33),(18,36),(19,21),(20,27),(21,14),(22,14),(22,33),(23,18),(23,34),(24,6),(24,28),(25,21),(25,22),(26,17),(26,22),(27,15),(27,16),(28,20),(28,31),(29,19),(29,25),(30,15),(30,23),(30,33),(31,9),(31,27),(31,30),(32,25),(32,26),(33,18),(33,35),(34,36),(35,36)],37)
[[1,3,4,5],[2]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,2,3,5],[5]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,5),(3,7),(4,34),(5,28),(6,27),(7,14),(7,28),(8,9),(8,35),(9,30),(10,20),(10,33),(11,17),(11,26),(12,24),(12,25),(13,32),(13,35),(14,12),(14,29),(14,32),(15,39),(16,38),(17,37),(18,37),(18,38),(19,39),(20,4),(20,41),(21,17),(22,15),(22,40),(23,16),(23,41),(24,31),(25,21),(26,22),(26,37),(27,11),(27,21),(28,6),(28,29),(29,25),(29,27),(30,20),(30,23),(31,16),(31,18),(32,24),(32,36),(33,18),(33,26),(33,41),(34,15),(34,19),(35,10),(35,30),(35,36),(36,23),(36,31),(36,33),(37,40),(38,19),(38,40),(40,39),(41,22),(41,34),(41,38)],42)
[[1,2,5,5],[3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,27),(5,26),(6,9),(6,35),(7,14),(7,34),(8,12),(8,13),(8,27),(9,29),(10,20),(10,25),(11,21),(11,22),(12,32),(12,35),(13,11),(13,31),(13,32),(14,17),(14,33),(15,38),(16,37),(16,38),(17,36),(18,39),(20,5),(20,37),(21,23),(22,30),(23,15),(24,15),(24,36),(25,18),(25,37),(26,19),(27,7),(27,31),(28,23),(28,24),(29,17),(29,24),(30,16),(30,20),(31,22),(31,34),(32,21),(32,28),(33,16),(33,25),(33,36),(34,10),(34,30),(34,33),(35,28),(35,29),(36,18),(36,38),(37,26),(37,39),(38,39),(39,19)],40)
[[1,3,5,5],[2]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,2,4,4],[5]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,2,4,5],[4]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,33),(5,29),(6,21),(7,12),(7,31),(8,9),(8,11),(8,21),(9,33),(9,35),(10,17),(10,20),(11,14),(11,32),(11,35),(12,19),(12,34),(13,18),(13,27),(14,22),(14,23),(15,39),(16,37),(16,39),(17,38),(18,37),(19,36),(20,38),(21,7),(21,32),(22,24),(23,30),(24,15),(25,15),(25,36),(26,17),(26,40),(27,10),(27,26),(27,37),(28,24),(28,25),(29,19),(29,25),(30,16),(30,18),(31,13),(31,30),(31,34),(32,23),(32,31),(33,28),(33,29),(34,16),(34,27),(34,36),(35,22),(35,28),(36,26),(36,39),(37,20),(37,40),(39,40),(40,38)],41)
[[1,4,4,5],[2]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,2,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,6),(3,7),(4,45),(5,46),(6,16),(6,47),(7,9),(7,47),(8,10),(8,44),(9,40),(10,39),(11,23),(11,24),(12,27),(12,43),(13,28),(13,35),(14,31),(14,42),(15,41),(15,44),(16,14),(16,41),(16,49),(17,26),(17,34),(17,37),(18,57),(19,54),(20,59),(21,58),(22,11),(22,57),(23,55),(24,55),(25,50),(25,58),(26,50),(26,51),(27,4),(27,53),(28,5),(28,52),(29,26),(29,59),(30,23),(30,54),(31,38),(32,21),(32,53),(33,20),(33,52),(34,36),(34,50),(35,17),(35,29),(35,52),(36,30),(36,56),(37,22),(37,51),(38,21),(38,25),(39,27),(39,32),(40,28),(40,33),(41,31),(41,48),(42,20),(42,29),(43,25),(43,34),(43,53),(44,12),(44,39),(44,48),(45,19),(45,30),(46,18),(46,22),(47,13),(47,40),(47,49),(48,32),(48,38),(48,43),(49,33),(49,35),(49,42),(50,56),(51,57),(52,37),(52,46),(52,59),(53,36),(53,45),(53,58),(54,55),(56,54),(57,24),(58,19),(58,56),(59,18),(59,51)],60)
[[1,2,5,5],[4]]=>([(0,2),(0,3),(1,8),(2,1),(3,5),(3,6),(4,38),(5,30),(6,14),(6,15),(6,30),(7,13),(7,39),(8,9),(8,37),(9,32),(10,20),(10,28),(11,22),(11,27),(12,25),(12,26),(13,16),(13,35),(14,34),(14,37),(15,12),(15,33),(15,34),(16,40),(17,44),(18,41),(19,44),(19,45),(20,42),(21,41),(22,4),(22,45),(23,17),(23,40),(24,17),(25,36),(26,24),(27,10),(27,29),(27,45),(28,18),(28,42),(29,20),(29,43),(30,7),(30,33),(31,23),(31,24),(32,16),(32,23),(33,25),(33,39),(34,26),(34,31),(35,19),(35,27),(35,40),(36,19),(36,22),(37,31),(37,32),(38,18),(38,21),(39,11),(39,35),(39,36),(40,29),(40,44),(42,41),(43,21),(43,42),(44,43),(45,28),(45,38),(45,43)],46)
[[1,4,5,5],[2]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,2,5,5],[5]]=>([(0,2),(0,3),(1,9),(2,1),(3,5),(3,7),(4,40),(5,32),(6,24),(7,15),(7,16),(7,32),(8,14),(8,41),(9,10),(9,39),(10,34),(11,20),(11,30),(12,22),(12,29),(13,27),(13,28),(14,17),(14,37),(15,36),(15,39),(16,13),(16,35),(16,36),(17,42),(18,46),(19,46),(19,47),(20,44),(21,43),(22,4),(22,47),(23,6),(23,43),(25,18),(25,42),(26,18),(27,38),(28,26),(29,11),(29,31),(29,47),(30,23),(30,44),(31,20),(31,45),(32,8),(32,35),(33,25),(33,26),(34,17),(34,25),(35,27),(35,41),(36,28),(36,33),(37,19),(37,29),(37,42),(38,19),(38,22),(39,33),(39,34),(40,21),(40,23),(41,12),(41,37),(41,38),(42,31),(42,46),(43,24),(44,43),(45,21),(45,44),(46,45),(47,30),(47,40),(47,45)],48)
[[1,5,5,5],[2]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,3,3,3],[5]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,3,3,5],[3]]=>([(0,1),(1,3),(1,4),(2,6),(2,19),(3,7),(3,18),(4,8),(4,18),(5,20),(6,17),(7,21),(8,5),(8,22),(9,13),(9,15),(10,24),(12,24),(13,2),(13,23),(14,12),(14,23),(15,10),(15,23),(16,11),(17,11),(18,9),(18,21),(18,22),(19,16),(19,17),(20,10),(20,12),(21,13),(21,14),(22,14),(22,15),(22,20),(23,19),(23,24),(24,16)],25)
[[1,3,3,4],[5]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,3,3,5],[4]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,7),(4,28),(5,27),(6,26),(7,14),(7,28),(8,9),(8,34),(9,30),(10,20),(10,24),(11,15),(11,33),(12,23),(12,25),(13,32),(13,34),(14,12),(14,29),(14,32),(15,36),(16,38),(17,38),(17,39),(19,37),(20,6),(20,39),(21,20),(22,16),(22,36),(23,31),(24,19),(24,39),(25,21),(26,18),(27,10),(27,21),(28,5),(28,29),(29,25),(29,27),(30,15),(30,22),(31,16),(31,17),(32,23),(32,35),(33,17),(33,24),(33,36),(34,11),(34,30),(34,35),(35,22),(35,31),(35,33),(36,19),(36,38),(37,18),(38,37),(39,26),(39,37)],40)
[[1,3,4,5],[3]]=>([(0,1),(1,3),(1,4),(2,6),(2,26),(3,5),(3,22),(4,8),(4,22),(5,25),(6,24),(7,23),(8,7),(8,27),(9,13),(9,18),(10,12),(10,19),(11,31),(12,2),(12,32),(13,28),(14,29),(15,29),(16,11),(16,32),(17,13),(17,31),(18,20),(18,28),(19,9),(19,17),(19,32),(20,15),(20,30),(21,14),(21,30),(22,10),(22,25),(22,27),(23,11),(23,17),(24,14),(24,15),(25,12),(25,16),(26,20),(26,21),(26,24),(27,16),(27,19),(27,23),(28,30),(30,29),(31,21),(31,28),(32,18),(32,26),(32,31)],33)
[[1,3,3,5],[5]]=>([(0,2),(0,3),(1,9),(1,14),(2,1),(3,6),(3,8),(4,39),(5,31),(6,32),(7,30),(8,15),(8,32),(9,10),(9,38),(10,34),(11,22),(11,37),(12,21),(12,27),(13,24),(13,25),(14,36),(14,38),(15,13),(15,33),(15,36),(17,42),(18,41),(19,42),(20,41),(20,43),(21,5),(21,43),(22,4),(22,44),(23,21),(24,35),(25,23),(26,18),(26,44),(27,28),(27,43),(28,17),(28,45),(29,16),(30,12),(30,23),(31,29),(32,7),(32,33),(33,25),(33,30),(34,22),(34,26),(35,18),(35,20),(36,24),(36,40),(37,20),(37,27),(37,44),(38,11),(38,34),(38,40),(39,17),(39,19),(40,26),(40,35),(40,37),(41,19),(41,45),(42,16),(43,31),(43,45),(44,28),(44,39),(44,41),(45,29),(45,42)],46)
[[1,3,5,5],[3]]=>([(0,1),(1,4),(1,5),(2,25),(3,6),(3,31),(4,9),(4,29),(5,7),(5,29),(6,28),(7,8),(7,30),(8,27),(9,26),(10,17),(10,24),(11,16),(11,19),(12,32),(13,32),(15,35),(16,3),(16,33),(17,2),(17,36),(18,15),(18,33),(19,10),(19,20),(19,33),(20,17),(20,35),(21,12),(21,34),(22,14),(23,13),(23,34),(24,21),(24,36),(25,22),(26,16),(26,18),(27,15),(27,20),(28,12),(28,13),(29,11),(29,26),(29,30),(30,18),(30,19),(30,27),(31,21),(31,23),(31,28),(32,14),(33,24),(33,31),(33,35),(34,22),(34,32),(35,23),(35,36),(36,25),(36,34)],37)
[[1,3,4,4],[5]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,3,4,5],[4]]=>([(0,1),(0,2),(1,5),(1,8),(2,6),(2,9),(3,46),(4,38),(5,36),(6,31),(7,15),(7,47),(8,17),(8,36),(9,11),(9,16),(9,31),(10,30),(10,40),(11,52),(11,53),(12,29),(12,39),(13,26),(13,51),(14,27),(14,41),(15,28),(15,50),(16,19),(16,49),(16,53),(17,18),(17,48),(17,52),(18,33),(18,42),(19,32),(19,43),(20,55),(20,59),(21,60),(22,62),(22,64),(23,59),(23,62),(24,60),(25,58),(26,57),(27,55),(28,56),(29,3),(29,64),(30,61),(31,7),(31,49),(32,45),(33,35),(34,23),(34,57),(35,29),(36,4),(36,48),(37,40),(37,63),(38,12),(38,35),(39,25),(39,64),(40,21),(40,61),(41,10),(41,37),(41,55),(42,28),(42,44),(43,26),(43,34),(44,22),(44,23),(44,56),(45,20),(45,27),(46,21),(46,24),(47,14),(47,45),(47,50),(48,33),(48,38),(49,32),(49,47),(50,20),(50,41),(50,56),(51,22),(51,39),(51,57),(52,42),(52,54),(53,13),(53,43),(53,54),(54,34),(54,44),(54,51),(55,30),(55,63),(56,37),(56,59),(57,25),(57,62),(58,24),(59,63),(61,60),(62,58),(63,61),(64,46),(64,58)],65)
[[1,4,4,5],[3]]=>([(0,1),(1,3),(1,4),(2,6),(2,29),(3,5),(3,25),(4,8),(4,25),(5,28),(6,27),(7,26),(8,7),(8,30),(9,16),(9,17),(10,14),(10,20),(11,13),(11,21),(12,35),(13,2),(13,36),(14,31),(15,33),(16,32),(17,32),(18,12),(18,36),(19,14),(19,35),(20,24),(20,31),(21,10),(21,19),(21,36),(22,15),(22,34),(23,16),(23,33),(24,9),(24,23),(24,34),(25,11),(25,28),(25,30),(26,12),(26,19),(27,15),(27,23),(28,13),(28,18),(29,22),(29,24),(29,27),(30,18),(30,21),(30,26),(31,34),(33,32),(34,17),(34,33),(35,22),(35,31),(36,20),(36,29),(36,35)],37)
[[1,3,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,6),(3,7),(4,52),(5,51),(6,17),(6,54),(7,9),(7,54),(8,10),(8,53),(9,47),(10,46),(11,38),(11,39),(12,30),(12,49),(13,29),(13,42),(14,41),(14,50),(15,48),(15,53),(16,22),(16,40),(17,14),(17,48),(17,55),(18,21),(18,36),(18,37),(19,61),(20,16),(20,67),(21,11),(21,62),(21,65),(22,60),(23,59),(24,58),(25,58),(25,62),(26,61),(27,67),(28,57),(29,4),(29,63),(30,5),(30,64),(31,26),(32,19),(33,44),(33,66),(34,24),(34,64),(35,23),(35,63),(36,33),(36,62),(37,20),(37,65),(38,31),(39,32),(40,19),(40,60),(41,45),(42,18),(42,43),(42,63),(43,21),(43,59),(44,22),(44,57),(45,24),(45,25),(46,30),(46,34),(47,29),(47,35),(48,41),(48,56),(49,25),(49,36),(49,64),(50,23),(50,43),(51,28),(51,44),(52,20),(52,27),(53,12),(53,46),(53,56),(54,13),(54,47),(54,55),(55,35),(55,42),(55,50),(56,34),(56,45),(56,49),(57,26),(57,60),(58,28),(58,66),(59,27),(59,65),(60,61),(62,38),(62,66),(63,37),(63,52),(63,59),(64,33),(64,51),(64,58),(65,39),(65,67),(66,31),(66,57),(67,32),(67,40)],68)
[[1,3,5,5],[4]]=>([(0,1),(0,2),(1,6),(1,9),(2,7),(2,10),(3,50),(4,41),(5,51),(6,39),(7,35),(8,11),(8,52),(9,12),(9,39),(10,13),(10,18),(10,35),(11,31),(11,56),(12,20),(12,54),(12,57),(13,57),(13,58),(14,30),(14,53),(15,42),(15,44),(16,33),(16,43),(17,32),(17,45),(18,19),(18,55),(18,58),(19,36),(19,47),(20,34),(20,46),(21,70),(22,67),(23,68),(24,67),(25,68),(27,63),(27,65),(28,60),(28,65),(29,60),(29,62),(30,66),(31,61),(32,5),(32,63),(33,3),(33,62),(34,38),(35,8),(35,55),(36,48),(37,28),(37,66),(38,33),(39,4),(39,54),(40,42),(40,69),(41,16),(41,38),(42,25),(42,64),(43,21),(43,62),(44,24),(44,64),(45,15),(45,40),(45,63),(46,31),(46,49),(47,30),(47,37),(48,27),(48,32),(49,28),(49,29),(49,61),(50,23),(50,25),(51,22),(51,24),(52,17),(52,48),(52,56),(53,29),(53,43),(53,66),(54,34),(54,41),(55,36),(55,52),(56,27),(56,45),(56,61),(57,46),(57,59),(58,14),(58,47),(58,59),(59,37),(59,49),(59,53),(60,70),(61,40),(61,65),(62,50),(62,70),(63,44),(63,51),(63,69),(64,67),(64,68),(65,69),(66,21),(66,60),(67,26),(68,26),(69,22),(69,64),(70,23)],71)
[[1,4,5,5],[3]]=>([(0,1),(1,4),(1,5),(2,28),(3,6),(3,35),(4,9),(4,33),(5,7),(5,33),(6,31),(7,8),(7,34),(8,30),(9,29),(10,16),(10,25),(11,19),(11,27),(12,18),(12,22),(13,37),(14,37),(15,38),(16,36),(17,41),(18,3),(18,39),(19,2),(19,42),(20,16),(20,38),(21,17),(21,39),(22,11),(22,23),(22,39),(23,19),(23,41),(24,10),(24,20),(24,40),(25,13),(25,36),(26,15),(26,40),(27,24),(27,42),(28,32),(29,18),(29,21),(30,17),(30,23),(31,15),(31,20),(32,13),(32,14),(33,12),(33,29),(33,34),(34,21),(34,22),(34,30),(35,24),(35,26),(35,31),(36,37),(38,14),(38,36),(39,27),(39,35),(39,41),(40,25),(40,32),(40,38),(41,26),(41,42),(42,28),(42,40)],43)
[[1,3,5,5],[5]]=>([(0,1),(0,2),(1,8),(1,10),(2,7),(2,11),(3,53),(4,42),(5,54),(6,44),(7,37),(8,41),(9,17),(9,55),(10,19),(10,41),(11,15),(11,18),(11,37),(12,33),(12,59),(13,32),(13,48),(14,34),(14,47),(15,60),(15,61),(16,45),(16,46),(17,31),(17,57),(18,21),(18,56),(18,61),(19,20),(19,58),(19,60),(20,38),(20,51),(21,39),(21,50),(23,71),(24,4),(24,73),(25,64),(25,66),(26,63),(26,66),(27,63),(27,70),(28,69),(29,71),(30,73),(31,72),(32,3),(32,70),(33,65),(34,5),(34,64),(35,46),(35,68),(36,34),(37,9),(37,56),(38,36),(39,49),(40,22),(41,6),(41,58),(42,22),(43,26),(43,65),(44,14),(44,36),(45,24),(45,67),(46,23),(46,67),(47,28),(47,64),(48,16),(48,35),(48,70),(49,27),(49,32),(50,33),(50,43),(51,31),(51,52),(52,25),(52,26),(52,72),(53,24),(53,30),(54,23),(54,29),(55,13),(55,49),(55,57),(56,39),(56,55),(57,27),(57,48),(57,72),(58,38),(58,44),(59,25),(59,47),(59,65),(60,51),(60,62),(61,12),(61,50),(61,62),(62,43),(62,52),(62,59),(63,68),(64,54),(64,69),(65,28),(65,66),(66,69),(67,71),(67,73),(68,30),(68,67),(69,29),(70,45),(70,53),(70,68),(71,40),(72,35),(72,63),(73,40),(73,42)],74)
[[1,5,5,5],[3]]=>([(0,1),(1,5),(1,6),(2,30),(3,21),(4,7),(4,37),(5,10),(5,35),(6,8),(6,35),(7,33),(8,9),(8,36),(9,32),(10,31),(11,16),(11,27),(12,20),(12,29),(13,19),(13,24),(14,39),(15,40),(16,38),(17,43),(18,3),(18,39),(19,4),(19,41),(20,2),(20,44),(22,16),(22,40),(23,17),(23,41),(24,12),(24,25),(24,41),(25,20),(25,43),(26,11),(26,22),(26,42),(27,18),(27,38),(28,15),(28,42),(29,26),(29,44),(30,34),(31,19),(31,23),(32,17),(32,25),(33,15),(33,22),(34,14),(34,18),(35,13),(35,31),(35,36),(36,23),(36,24),(36,32),(37,26),(37,28),(37,33),(38,39),(39,21),(40,14),(40,38),(41,29),(41,37),(41,43),(42,27),(42,34),(42,40),(43,28),(43,44),(44,30),(44,42)],45)
[[1,4,4,4],[5]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,4,4,5],[4]]=>([(0,1),(1,4),(1,5),(2,8),(2,32),(3,19),(4,9),(4,30),(5,7),(5,30),(6,27),(7,6),(7,31),(8,28),(9,29),(10,14),(10,26),(11,15),(11,17),(12,18),(12,24),(13,35),(14,36),(15,38),(16,34),(17,3),(17,38),(18,2),(18,33),(20,14),(20,35),(21,11),(21,22),(21,37),(22,17),(22,34),(23,13),(23,33),(24,10),(24,20),(24,33),(25,16),(25,37),(26,21),(26,36),(27,13),(27,20),(28,16),(28,22),(29,18),(29,23),(30,12),(30,29),(30,31),(31,23),(31,24),(31,27),(32,21),(32,25),(32,28),(33,26),(33,32),(33,35),(34,38),(35,25),(35,36),(36,37),(37,15),(37,34),(38,19)],39)
[[1,4,4,5],[5]]=>([(0,2),(0,3),(1,9),(1,16),(2,1),(3,7),(3,8),(4,54),(5,53),(6,32),(7,18),(7,56),(8,10),(8,56),(9,11),(9,55),(10,49),(11,48),(12,40),(12,41),(13,31),(13,51),(14,30),(14,44),(15,43),(15,52),(16,50),(16,55),(17,22),(17,42),(18,15),(18,50),(18,57),(19,21),(19,38),(19,39),(20,17),(20,69),(21,12),(21,64),(21,67),(22,62),(23,61),(24,60),(25,60),(25,64),(26,63),(27,69),(28,59),(29,6),(29,63),(30,4),(30,65),(31,5),(31,66),(33,26),(34,29),(35,46),(35,68),(36,24),(36,66),(37,23),(37,65),(38,35),(38,64),(39,20),(39,67),(40,33),(41,34),(42,29),(42,62),(43,47),(44,19),(44,45),(44,65),(45,21),(45,61),(46,22),(46,59),(47,24),(47,25),(48,31),(48,36),(49,30),(49,37),(50,43),(50,58),(51,25),(51,38),(51,66),(52,23),(52,45),(53,28),(53,46),(54,20),(54,27),(55,13),(55,48),(55,58),(56,14),(56,49),(56,57),(57,37),(57,44),(57,52),(58,36),(58,47),(58,51),(59,26),(59,62),(60,28),(60,68),(61,27),(61,67),(62,63),(63,32),(64,40),(64,68),(65,39),(65,54),(65,61),(66,35),(66,53),(66,60),(67,41),(67,69),(68,33),(68,59),(69,34),(69,42)],70)
[[1,4,5,5],[4]]=>([(0,1),(1,5),(1,6),(2,31),(3,30),(4,7),(4,38),(5,10),(5,36),(6,8),(6,36),(7,34),(8,9),(8,37),(9,33),(10,32),(11,21),(11,29),(12,19),(12,27),(13,20),(13,24),(15,40),(16,39),(17,40),(18,44),(19,2),(19,41),(20,4),(20,42),(21,3),(21,45),(22,19),(22,39),(23,18),(23,42),(24,11),(24,25),(24,42),(25,21),(25,44),(26,12),(26,22),(26,43),(27,15),(27,41),(28,16),(28,43),(29,26),(29,45),(30,35),(31,14),(32,20),(32,23),(33,18),(33,25),(34,16),(34,22),(35,15),(35,17),(36,13),(36,32),(36,37),(37,23),(37,24),(37,33),(38,26),(38,28),(38,34),(39,17),(39,41),(40,14),(41,31),(41,40),(42,29),(42,38),(42,44),(43,27),(43,35),(43,39),(44,28),(44,45),(45,30),(45,43)],46)
[[1,4,5,5],[5]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,13),(3,76),(4,75),(5,58),(6,74),(7,57),(8,73),(9,50),(10,6),(10,77),(11,20),(11,78),(12,19),(12,77),(13,18),(13,23),(13,50),(14,43),(14,66),(15,45),(15,67),(16,64),(16,65),(17,41),(17,63),(18,83),(18,84),(19,25),(19,83),(19,86),(20,42),(20,80),(21,62),(21,82),(22,44),(22,81),(23,24),(23,79),(23,84),(24,53),(24,71),(25,69),(25,70),(26,40),(26,56),(26,61),(28,97),(29,7),(29,103),(30,5),(30,95),(31,91),(32,87),(32,96),(33,88),(33,90),(34,87),(34,88),(35,104),(36,103),(37,95),(38,89),(39,17),(39,104),(40,21),(40,90),(40,101),(41,93),(42,99),(43,4),(43,98),(44,8),(44,100),(45,3),(45,96),(46,59),(46,102),(47,37),(47,97),(48,65),(48,94),(49,31),(49,98),(50,11),(50,79),(51,55),(52,30),(53,68),(54,34),(54,100),(55,27),(56,39),(56,101),(57,55),(58,27),(59,41),(59,89),(60,40),(60,91),(61,46),(61,90),(62,52),(63,30),(63,93),(64,29),(64,92),(65,28),(65,92),(66,26),(66,60),(66,98),(67,16),(67,48),(67,96),(68,32),(68,45),(69,31),(69,60),(70,42),(70,72),(71,44),(71,54),(72,33),(72,34),(72,99),(73,38),(73,59),(74,43),(74,49),(75,35),(75,39),(76,29),(76,36),(77,14),(77,74),(77,86),(78,15),(78,68),(78,80),(79,53),(79,78),(80,32),(80,67),(80,99),(81,33),(81,61),(81,100),(82,28),(82,47),(83,70),(83,85),(84,22),(84,71),(84,85),(85,54),(85,72),(85,81),(86,49),(86,66),(86,69),(87,94),(88,38),(88,102),(89,37),(89,93),(90,82),(90,102),(91,35),(91,101),(92,97),(92,103),(93,95),(94,36),(94,92),(95,58),(96,64),(96,76),(96,94),(97,51),(98,56),(98,75),(98,91),(99,48),(99,87),(100,46),(100,73),(100,88),(101,62),(101,104),(102,47),(102,89),(103,51),(103,57),(104,52),(104,63)],105)
[[1,5,5,5],[4]]=>([(0,1),(1,6),(1,7),(2,32),(3,34),(4,33),(5,8),(5,41),(6,11),(6,39),(7,9),(7,39),(8,37),(9,10),(9,40),(10,36),(11,35),(12,22),(12,31),(13,20),(13,29),(14,21),(14,26),(16,42),(17,48),(18,46),(19,2),(19,48),(20,4),(20,43),(21,5),(21,44),(22,3),(22,47),(23,20),(23,42),(24,18),(24,44),(25,15),(26,12),(26,27),(26,44),(27,22),(27,46),(28,13),(28,23),(28,45),(29,19),(29,43),(30,16),(30,45),(31,28),(31,47),(32,15),(33,25),(34,38),(35,21),(35,24),(36,18),(36,27),(37,16),(37,23),(38,17),(38,19),(39,14),(39,35),(39,40),(40,24),(40,26),(40,36),(41,28),(41,30),(41,37),(42,17),(42,43),(43,33),(43,48),(44,31),(44,41),(44,46),(45,29),(45,38),(45,42),(46,30),(46,47),(47,34),(47,45),(48,25),(48,32)],49)
[[1,5,5,5],[5]]=>([(0,2),(2,7),(2,8),(3,33),(4,35),(5,34),(6,9),(6,42),(7,10),(7,40),(8,11),(8,40),(9,38),(10,12),(10,41),(11,36),(12,37),(13,23),(13,32),(14,21),(14,30),(15,22),(15,27),(16,43),(17,49),(18,1),(19,47),(20,3),(20,49),(21,5),(21,44),(22,6),(22,45),(23,4),(23,48),(24,18),(25,21),(25,43),(26,19),(26,45),(27,13),(27,28),(27,45),(28,23),(28,47),(29,14),(29,25),(29,46),(30,20),(30,44),(31,16),(31,46),(32,29),(32,48),(33,18),(34,24),(35,39),(36,22),(36,26),(37,19),(37,28),(38,16),(38,25),(39,17),(39,20),(40,15),(40,36),(40,41),(41,26),(41,27),(41,37),(42,29),(42,31),(42,38),(43,17),(43,44),(44,34),(44,49),(45,32),(45,42),(45,47),(46,30),(46,39),(46,43),(47,31),(47,48),(48,35),(48,46),(49,24),(49,33)],50)
[[2,2,2,2],[5]]=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
[[2,2,2,3],[5]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,5),(3,16),(4,18),(5,17),(6,4),(6,20),(7,6),(7,19),(8,9),(8,13),(9,21),(10,22),(11,22),(12,14),(12,21),(13,15),(13,21),(14,10),(14,23),(15,11),(15,23),(16,8),(16,17),(16,19),(17,9),(17,12),(18,10),(18,11),(19,12),(19,13),(19,20),(20,14),(20,15),(20,18),(21,23),(23,22)],24)
[[2,2,2,5],[3]]=>([(0,3),(0,4),(1,6),(2,5),(2,10),(3,1),(4,2),(5,8),(5,20),(6,9),(6,19),(7,16),(8,15),(9,7),(9,21),(10,19),(10,20),(12,13),(13,11),(14,11),(15,12),(16,14),(17,12),(17,18),(18,13),(18,14),(19,17),(19,21),(20,15),(20,17),(21,16),(21,18)],22)
[[2,2,2,4],[5]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,20),(4,6),(4,20),(5,22),(6,21),(7,5),(7,24),(8,7),(8,23),(9,13),(9,17),(10,25),(11,25),(13,2),(13,26),(14,10),(14,27),(15,11),(15,27),(16,15),(16,26),(17,14),(17,26),(18,19),(19,12),(20,9),(20,21),(20,23),(21,13),(21,16),(22,10),(22,11),(23,16),(23,17),(23,24),(24,14),(24,15),(24,22),(25,12),(26,18),(26,27),(27,19),(27,25)],28)
[[2,2,2,5],[4]]=>([(0,3),(0,4),(1,6),(2,5),(2,11),(3,1),(4,2),(5,8),(5,22),(6,9),(6,20),(7,19),(8,23),(9,7),(9,24),(10,12),(10,16),(11,20),(11,22),(12,27),(13,28),(14,28),(15,17),(15,27),(16,18),(16,27),(17,13),(17,29),(18,14),(18,29),(19,21),(20,24),(20,26),(21,13),(21,14),(22,10),(22,23),(22,26),(23,12),(23,15),(24,19),(24,25),(25,17),(25,18),(25,21),(26,15),(26,16),(26,25),(27,29),(29,28)],30)
[[2,2,2,5],[5]]=>([(0,3),(0,4),(1,7),(2,6),(2,12),(3,1),(4,2),(5,23),(6,9),(6,28),(7,10),(7,27),(8,17),(9,24),(10,8),(10,25),(11,16),(11,21),(12,27),(12,28),(13,31),(14,31),(16,5),(16,32),(17,26),(18,13),(18,33),(19,14),(19,33),(20,19),(20,32),(21,18),(21,32),(22,15),(23,22),(24,16),(24,20),(25,17),(25,30),(26,13),(26,14),(27,25),(27,29),(28,11),(28,24),(28,29),(29,20),(29,21),(29,30),(30,18),(30,19),(30,26),(31,15),(32,23),(32,33),(33,22),(33,31)],34)
[[2,2,3,3],[5]]=>([(0,1),(1,2),(1,3),(2,5),(2,19),(3,6),(3,19),(4,21),(5,22),(6,7),(6,24),(7,4),(7,23),(8,13),(8,18),(9,11),(9,15),(10,29),(11,25),(12,26),(13,27),(14,16),(14,25),(15,8),(15,20),(15,25),(16,12),(16,28),(17,10),(17,26),(18,10),(18,27),(19,9),(19,22),(19,24),(20,17),(20,18),(20,28),(21,12),(21,17),(22,11),(22,14),(23,16),(23,20),(23,21),(24,14),(24,15),(24,23),(25,13),(25,28),(26,29),(27,29),(28,26),(28,27)],30)
[[2,2,3,5],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,25),(5,9),(5,32),(6,12),(6,31),(7,11),(7,13),(7,25),(8,28),(9,8),(9,33),(10,17),(10,18),(11,30),(11,32),(12,21),(12,22),(13,10),(13,29),(13,30),(14,37),(15,35),(16,36),(17,19),(18,20),(19,23),(20,16),(21,16),(21,34),(22,15),(22,34),(23,14),(23,36),(24,14),(24,35),(25,6),(25,29),(26,19),(26,27),(27,23),(27,24),(27,34),(28,15),(28,24),(29,18),(29,31),(30,17),(30,26),(31,20),(31,21),(32,26),(32,33),(33,22),(33,27),(33,28),(34,35),(34,36),(35,37),(36,37)],38)
[[2,2,3,4],[5]]=>([(0,1),(1,3),(1,4),(2,24),(3,6),(3,25),(4,8),(4,25),(5,27),(6,26),(7,5),(7,29),(8,7),(8,28),(9,13),(9,19),(10,21),(10,22),(11,34),(12,32),(13,2),(13,35),(14,31),(15,33),(16,14),(16,36),(17,15),(17,32),(18,16),(18,35),(19,10),(19,23),(19,35),(20,11),(20,31),(21,12),(21,30),(22,11),(22,30),(23,20),(23,22),(23,36),(24,12),(24,17),(25,9),(25,26),(25,28),(26,13),(26,18),(27,14),(27,20),(28,18),(28,19),(28,29),(29,16),(29,23),(29,27),(30,32),(30,34),(31,15),(31,34),(32,33),(34,33),(35,21),(35,24),(35,36),(36,17),(36,30),(36,31)],37)
[[2,2,3,5],[4]]=>([(0,2),(0,3),(1,5),(1,12),(2,7),(2,8),(3,1),(4,27),(5,6),(5,37),(6,32),(7,24),(8,9),(8,24),(9,14),(9,36),(9,38),(10,28),(10,29),(11,19),(11,35),(12,37),(12,38),(13,20),(13,21),(14,13),(14,30),(14,31),(15,43),(16,44),(17,43),(17,44),(18,46),(19,42),(20,34),(21,23),(22,26),(22,42),(23,16),(24,4),(24,36),(25,17),(25,41),(25,45),(26,15),(26,45),(27,10),(27,33),(28,18),(28,41),(29,16),(29,41),(30,21),(30,33),(31,20),(31,40),(32,19),(32,22),(33,23),(33,29),(34,15),(34,17),(35,25),(35,28),(35,42),(36,27),(36,30),(37,11),(37,32),(37,39),(38,31),(38,39),(39,22),(39,35),(39,40),(40,25),(40,26),(40,34),(41,44),(41,46),(42,18),(42,45),(43,47),(44,47),(45,43),(45,46),(46,47)],48)
[[2,2,4,5],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,28),(5,9),(5,37),(6,13),(6,36),(7,12),(7,14),(7,28),(8,32),(9,8),(9,38),(10,17),(10,25),(11,20),(11,21),(12,35),(12,37),(13,24),(13,34),(14,11),(14,33),(14,35),(15,43),(16,41),(17,40),(18,39),(18,40),(19,44),(20,23),(21,31),(22,19),(22,42),(23,27),(24,16),(24,45),(25,22),(25,40),(26,15),(26,41),(27,15),(27,39),(28,6),(28,33),(29,23),(29,30),(30,26),(30,27),(30,45),(31,17),(31,18),(32,16),(32,26),(33,21),(33,36),(34,18),(34,25),(34,45),(35,20),(35,29),(36,10),(36,31),(36,34),(37,29),(37,38),(38,24),(38,30),(38,32),(39,42),(39,43),(40,42),(41,19),(41,43),(42,44),(43,44),(45,22),(45,39),(45,41)],46)
[[2,2,3,5],[5]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,5),(3,7),(4,42),(5,33),(6,32),(7,15),(7,33),(8,9),(8,43),(9,36),(10,21),(10,40),(11,28),(11,29),(12,14),(12,38),(12,41),(13,39),(13,43),(14,22),(14,23),(15,12),(15,35),(15,39),(16,46),(17,49),(18,46),(18,49),(19,48),(20,51),(21,4),(21,53),(22,27),(23,37),(24,16),(24,54),(25,24),(25,53),(26,18),(26,47),(26,54),(27,17),(28,31),(28,47),(29,17),(29,47),(30,20),(30,48),(31,19),(31,50),(32,11),(32,34),(33,6),(33,35),(34,27),(34,29),(35,32),(35,41),(36,21),(36,25),(37,16),(37,18),(38,23),(38,45),(39,38),(39,44),(40,26),(40,28),(40,53),(41,22),(41,34),(42,19),(42,30),(43,10),(43,36),(43,44),(44,25),(44,40),(44,45),(45,24),(45,26),(45,37),(46,20),(46,52),(47,49),(47,50),(48,51),(49,52),(50,48),(50,52),(52,51),(53,31),(53,42),(53,54),(54,30),(54,46),(54,50)],55)
[[2,2,5,5],[3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,32),(5,31),(6,10),(6,41),(7,14),(7,40),(8,13),(8,15),(8,32),(9,36),(10,9),(10,42),(11,21),(11,26),(12,22),(12,23),(13,39),(13,41),(14,28),(14,38),(15,12),(15,37),(15,39),(16,46),(17,44),(18,43),(18,47),(19,45),(21,5),(21,47),(22,27),(23,35),(24,19),(24,49),(25,20),(26,24),(26,47),(27,30),(28,17),(28,48),(29,16),(29,44),(30,16),(30,43),(31,25),(32,7),(32,37),(33,27),(33,34),(34,29),(34,30),(34,48),(35,18),(35,21),(36,17),(36,29),(37,23),(37,40),(38,18),(38,26),(38,48),(39,22),(39,33),(40,11),(40,35),(40,38),(41,33),(41,42),(42,28),(42,34),(42,36),(43,46),(43,49),(44,19),(44,46),(45,20),(46,45),(47,31),(47,49),(48,24),(48,43),(48,44),(49,25),(49,45)],50)
[[2,2,4,4],[5]]=>([(0,1),(1,4),(1,5),(2,29),(3,25),(4,7),(4,30),(5,8),(5,30),(6,9),(6,32),(7,6),(7,31),(8,28),(9,27),(10,23),(10,24),(11,17),(11,21),(12,36),(13,34),(14,35),(16,3),(16,39),(17,2),(17,37),(18,13),(18,38),(19,14),(19,39),(20,18),(20,37),(21,10),(21,26),(21,37),(22,12),(22,34),(23,16),(23,33),(24,12),(24,33),(25,15),(26,22),(26,24),(26,38),(27,13),(27,22),(28,17),(28,20),(29,16),(29,19),(30,11),(30,28),(30,31),(31,20),(31,21),(31,32),(32,18),(32,26),(32,27),(33,36),(33,39),(34,14),(34,36),(35,15),(36,35),(37,23),(37,29),(37,38),(38,19),(38,33),(38,34),(39,25),(39,35)],40)
[[2,2,4,5],[4]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,5),(4,31),(5,14),(5,15),(5,31),(6,13),(6,41),(7,9),(7,40),(8,38),(9,8),(9,42),(10,26),(10,27),(11,18),(11,28),(12,21),(12,30),(13,25),(13,35),(14,34),(14,40),(15,10),(15,33),(15,34),(16,49),(17,51),(18,43),(19,46),(20,43),(20,47),(21,45),(22,29),(23,19),(23,51),(24,16),(24,48),(25,17),(25,44),(26,22),(27,32),(28,12),(28,39),(28,43),(29,19),(29,47),(30,16),(30,45),(31,6),(31,33),(32,18),(32,20),(33,27),(33,41),(34,26),(34,36),(35,20),(35,28),(35,44),(36,22),(36,37),(37,23),(37,29),(37,44),(38,17),(38,23),(39,24),(39,30),(39,50),(40,36),(40,42),(41,11),(41,32),(41,35),(42,25),(42,37),(42,38),(43,21),(43,50),(44,39),(44,47),(44,51),(45,49),(46,48),(47,46),(47,50),(48,49),(50,45),(50,48),(51,24),(51,46)],52)
[[2,2,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,6),(3,7),(4,54),(5,55),(6,17),(6,57),(7,9),(7,57),(8,10),(8,56),(9,48),(10,47),(11,24),(11,45),(12,28),(12,53),(13,29),(13,41),(14,16),(14,51),(14,61),(15,52),(15,56),(16,30),(16,49),(17,14),(17,52),(17,59),(18,38),(18,39),(18,40),(19,64),(20,63),(21,11),(21,79),(22,64),(22,67),(23,67),(23,73),(24,66),(25,72),(26,71),(27,68),(28,4),(28,76),(29,5),(29,75),(30,50),(31,27),(31,79),(32,22),(32,65),(32,77),(33,23),(33,63),(34,37),(34,76),(35,36),(35,75),(36,20),(36,78),(37,19),(37,77),(38,43),(38,65),(39,21),(39,62),(40,23),(40,62),(40,65),(41,18),(41,46),(41,75),(42,24),(42,69),(43,42),(43,70),(44,26),(44,69),(45,25),(45,66),(46,33),(46,40),(46,78),(47,28),(47,34),(48,29),(48,35),(49,20),(49,33),(50,19),(50,22),(51,30),(51,60),(52,51),(52,58),(53,32),(53,38),(53,76),(54,42),(54,44),(55,21),(55,31),(56,12),(56,47),(56,58),(57,13),(57,48),(57,59),(58,34),(58,53),(58,60),(59,35),(59,41),(59,61),(60,32),(60,37),(60,50),(61,36),(61,46),(61,49),(62,73),(62,79),(63,27),(63,73),(64,26),(64,74),(65,67),(65,70),(66,72),(67,74),(68,25),(69,66),(69,71),(70,69),(70,74),(71,72),(73,68),(74,71),(75,39),(75,55),(75,78),(76,43),(76,54),(76,77),(77,44),(77,64),(77,70),(78,31),(78,62),(78,63),(79,45),(79,68)],80)
[[2,2,5,5],[4]]=>([(0,2),(0,3),(1,8),(2,1),(3,5),(3,6),(4,45),(5,35),(6,15),(6,16),(6,35),(7,14),(7,46),(8,9),(8,44),(9,10),(9,47),(10,38),(11,27),(11,30),(12,28),(12,29),(13,23),(13,31),(14,24),(14,42),(15,36),(15,44),(16,12),(16,36),(16,37),(17,54),(18,56),(19,53),(20,51),(21,52),(21,57),(22,55),(23,4),(23,57),(24,18),(24,49),(25,34),(26,19),(26,56),(27,17),(27,48),(28,25),(29,41),(30,20),(30,48),(31,11),(31,43),(31,57),(32,22),(32,51),(33,17),(33,50),(34,19),(34,52),(35,7),(35,37),(36,28),(36,39),(37,29),(37,46),(38,18),(38,26),(39,25),(39,40),(40,26),(40,34),(40,49),(41,21),(41,23),(42,21),(42,31),(42,49),(43,27),(43,33),(43,58),(44,39),(44,47),(45,20),(45,32),(46,13),(46,41),(46,42),(47,24),(47,38),(47,40),(48,51),(48,54),(49,43),(49,52),(49,56),(50,22),(50,54),(51,55),(52,53),(52,58),(53,50),(54,55),(56,33),(56,53),(57,30),(57,45),(57,58),(58,32),(58,48),(58,50)],59)
[[2,2,5,5],[5]]=>([(0,2),(0,3),(1,9),(2,1),(3,5),(3,7),(4,47),(5,38),(6,37),(7,15),(7,17),(7,38),(8,16),(8,49),(9,11),(9,48),(10,45),(11,10),(11,50),(12,30),(12,33),(13,31),(13,32),(14,25),(14,34),(15,41),(15,48),(16,29),(16,42),(17,13),(17,40),(17,41),(18,59),(19,57),(20,55),(21,56),(21,58),(23,54),(24,6),(24,60),(25,4),(25,58),(26,23),(26,60),(27,35),(28,20),(28,59),(29,18),(29,52),(30,24),(30,51),(31,27),(32,39),(33,19),(33,51),(34,12),(34,46),(34,58),(35,20),(35,56),(36,19),(36,53),(37,22),(38,8),(38,40),(39,21),(39,25),(40,32),(40,49),(41,31),(41,43),(42,21),(42,34),(42,52),(43,27),(43,44),(44,28),(44,35),(44,52),(45,18),(45,28),(46,33),(46,36),(46,61),(47,24),(47,26),(48,43),(48,50),(49,14),(49,39),(49,42),(50,29),(50,44),(50,45),(51,57),(51,60),(52,46),(52,56),(52,59),(53,23),(53,57),(54,22),(55,53),(56,55),(56,61),(57,54),(58,30),(58,47),(58,61),(59,36),(59,55),(60,37),(60,54),(61,26),(61,51),(61,53)],62)
[[2,3,3,3],[5]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,6),(3,22),(4,25),(5,24),(6,7),(6,27),(7,4),(7,26),(8,15),(8,21),(9,13),(9,14),(10,11),(10,18),(11,28),(12,31),(13,29),(14,29),(15,30),(16,13),(16,33),(17,20),(17,28),(18,8),(18,23),(18,28),(19,16),(19,31),(20,12),(20,32),(21,9),(21,16),(21,30),(22,10),(22,24),(22,27),(23,19),(23,21),(23,32),(24,11),(24,17),(25,12),(25,19),(26,20),(26,23),(26,25),(27,17),(27,18),(27,26),(28,15),(28,32),(30,14),(30,33),(31,33),(32,30),(32,31),(33,29)],34)
[[2,3,3,5],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,6),(4,15),(4,16),(4,43),(5,14),(5,42),(6,9),(6,43),(7,8),(7,41),(8,10),(8,45),(9,36),(10,35),(11,29),(11,40),(12,13),(12,22),(12,39),(13,23),(13,24),(14,21),(14,31),(15,34),(15,41),(16,11),(16,34),(16,44),(17,52),(18,51),(19,53),(20,49),(21,48),(22,5),(22,46),(23,30),(23,47),(24,20),(24,47),(25,20),(25,53),(26,32),(27,17),(28,19),(28,46),(29,26),(30,21),(30,50),(31,17),(31,48),(32,18),(32,49),(33,18),(33,50),(34,29),(34,38),(35,30),(35,33),(36,22),(36,28),(37,32),(37,33),(37,47),(38,26),(38,37),(39,24),(39,25),(39,46),(40,19),(40,25),(41,38),(41,45),(42,27),(42,31),(43,12),(43,36),(43,44),(44,28),(44,39),(44,40),(45,23),(45,35),(45,37),(46,42),(46,53),(47,49),(47,50),(48,52),(49,51),(50,48),(50,51),(51,52),(53,27)],54)
[[2,3,3,4],[5]]=>([(0,1),(1,3),(1,4),(2,28),(3,6),(3,29),(4,8),(4,29),(5,30),(6,31),(7,5),(7,33),(8,7),(8,32),(9,21),(9,24),(10,12),(10,22),(11,13),(11,23),(12,37),(13,2),(13,40),(14,34),(15,35),(16,39),(17,38),(18,14),(18,42),(19,18),(19,40),(20,12),(20,36),(21,15),(21,41),(22,17),(22,37),(23,9),(23,27),(23,40),(24,10),(24,20),(24,41),(25,16),(25,35),(26,20),(26,34),(27,24),(27,26),(27,42),(28,15),(28,25),(29,11),(29,31),(29,32),(30,14),(30,26),(31,13),(31,19),(32,19),(32,23),(32,33),(33,18),(33,27),(33,30),(34,16),(34,36),(35,17),(35,39),(36,37),(36,39),(37,38),(39,38),(40,21),(40,28),(40,42),(41,22),(41,35),(41,36),(42,25),(42,34),(42,41)],43)
[[2,3,3,5],[4]]=>([(0,2),(0,3),(1,5),(1,13),(2,7),(2,8),(3,1),(4,30),(5,6),(5,41),(6,36),(7,27),(8,10),(8,27),(9,21),(9,32),(10,15),(10,40),(10,42),(11,31),(11,33),(12,20),(12,39),(13,41),(13,42),(14,24),(14,25),(15,14),(15,34),(15,35),(16,46),(16,49),(17,49),(18,51),(19,48),(20,45),(21,47),(22,21),(22,46),(23,22),(24,23),(25,38),(26,28),(26,45),(27,4),(27,40),(28,17),(28,50),(29,16),(29,50),(29,53),(30,11),(30,37),(31,19),(31,53),(32,18),(32,47),(33,9),(33,22),(33,53),(34,24),(34,37),(35,25),(35,44),(36,20),(36,26),(37,23),(37,33),(38,16),(38,17),(39,29),(39,31),(39,45),(40,30),(40,34),(41,12),(41,36),(41,43),(42,35),(42,43),(43,26),(43,39),(43,44),(44,28),(44,29),(44,38),(45,19),(45,50),(46,47),(46,52),(47,51),(48,18),(48,52),(49,52),(50,48),(50,49),(52,51),(53,32),(53,46),(53,48)],54)
[[2,3,4,5],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,5),(3,6),(4,15),(4,53),(5,14),(5,16),(5,50),(6,9),(6,50),(7,8),(7,49),(8,10),(8,52),(9,43),(10,42),(11,33),(11,47),(12,13),(12,26),(12,48),(13,27),(13,39),(14,41),(14,49),(15,22),(15,46),(16,11),(16,41),(16,51),(17,24),(17,37),(17,38),(18,61),(18,65),(19,60),(19,61),(20,67),(21,63),(22,59),(23,54),(23,55),(24,54),(24,56),(25,60),(25,64),(26,4),(26,66),(27,34),(27,68),(28,25),(28,62),(29,35),(30,19),(30,58),(31,18),(31,58),(32,20),(32,66),(33,29),(34,22),(34,57),(35,21),(35,55),(36,21),(36,57),(37,30),(37,56),(38,28),(38,54),(39,23),(39,38),(39,68),(40,23),(40,24),(40,67),(41,33),(41,45),(42,34),(42,36),(43,26),(43,32),(44,35),(44,36),(44,68),(45,29),(45,44),(46,18),(46,19),(46,59),(47,20),(47,40),(48,17),(48,39),(48,40),(48,66),(49,45),(49,52),(50,12),(50,43),(50,51),(51,32),(51,47),(51,48),(52,27),(52,42),(52,44),(53,30),(53,31),(53,46),(54,62),(55,62),(55,63),(56,58),(57,25),(57,59),(57,63),(58,61),(59,60),(59,65),(60,69),(61,69),(62,64),(63,64),(63,65),(64,69),(65,69),(66,37),(66,53),(66,67),(67,31),(67,56),(68,28),(68,55),(68,57)],70)
[[2,3,3,5],[5]]=>([(0,2),(0,3),(1,6),(1,14),(2,8),(2,9),(3,1),(4,44),(5,35),(6,7),(6,47),(7,40),(8,33),(9,10),(9,33),(10,16),(10,46),(10,48),(11,23),(11,45),(12,36),(12,38),(13,22),(13,37),(14,47),(14,48),(15,27),(15,28),(16,15),(16,39),(16,41),(17,53),(18,52),(19,51),(19,53),(20,57),(21,55),(22,54),(23,4),(23,59),(24,22),(24,51),(25,20),(25,52),(26,24),(27,26),(28,43),(29,30),(29,59),(30,17),(30,61),(31,19),(31,60),(31,61),(32,18),(32,62),(33,5),(33,46),(34,21),(34,56),(35,12),(35,42),(36,32),(36,60),(37,34),(37,54),(38,13),(38,24),(38,60),(39,27),(39,42),(40,23),(40,29),(41,28),(41,50),(42,26),(42,38),(43,17),(43,19),(44,18),(44,25),(45,31),(45,36),(45,59),(46,35),(46,39),(47,11),(47,40),(47,49),(48,41),(48,49),(49,29),(49,45),(49,50),(50,30),(50,31),(50,43),(51,54),(51,58),(52,21),(52,57),(53,20),(53,58),(54,56),(56,55),(57,55),(58,56),(58,57),(59,32),(59,44),(59,61),(60,37),(60,51),(60,62),(61,25),(61,53),(61,62),(62,34),(62,52),(62,58)],63)
[[2,3,5,5],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,5),(3,6),(4,16),(4,60),(5,15),(5,17),(5,57),(6,9),(6,57),(7,8),(7,56),(8,10),(8,59),(9,51),(10,50),(11,42),(11,54),(12,40),(12,41),(13,14),(13,29),(13,55),(14,30),(14,47),(15,49),(15,56),(16,20),(16,48),(17,11),(17,49),(17,58),(18,22),(18,38),(18,39),(19,73),(20,65),(21,68),(22,12),(22,70),(22,71),(23,63),(23,69),(24,63),(24,66),(25,62),(25,71),(26,66),(26,67),(27,64),(28,64),(29,4),(29,72),(30,43),(30,75),(31,26),(31,76),(32,28),(33,27),(34,24),(34,74),(35,23),(35,74),(36,44),(37,19),(37,72),(38,34),(38,70),(39,31),(39,71),(40,33),(41,32),(42,36),(43,20),(43,61),(44,21),(44,62),(45,21),(45,61),(46,22),(46,25),(46,73),(47,25),(47,39),(47,75),(48,23),(48,24),(48,65),(49,42),(49,53),(50,43),(50,45),(51,29),(51,37),(52,44),(52,45),(52,75),(53,36),(53,52),(54,19),(54,46),(55,18),(55,46),(55,47),(55,72),(56,53),(56,59),(57,13),(57,51),(57,58),(58,37),(58,54),(58,55),(59,30),(59,50),(59,52),(60,34),(60,35),(60,48),(61,26),(61,65),(61,68),(62,68),(62,76),(63,28),(63,77),(65,66),(65,69),(66,77),(67,27),(67,77),(68,67),(68,69),(69,77),(70,41),(70,74),(71,40),(71,76),(72,38),(72,60),(72,73),(73,35),(73,70),(74,32),(74,63),(75,31),(75,61),(75,62),(76,33),(76,67),(77,64)],78)
[[2,3,4,4],[5]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[2,3,4,5],[4]]=>([(0,1),(0,2),(1,4),(1,7),(2,5),(2,8),(3,43),(4,39),(5,38),(6,11),(6,55),(7,13),(7,39),(8,12),(8,17),(8,38),(9,31),(9,60),(10,32),(10,61),(11,45),(11,58),(12,62),(12,63),(13,18),(13,56),(13,62),(14,44),(14,47),(15,30),(15,57),(16,29),(16,46),(17,19),(17,59),(17,63),(18,20),(18,51),(18,64),(19,34),(19,52),(20,35),(20,50),(21,69),(22,67),(22,68),(23,73),(23,81),(24,71),(24,73),(25,75),(25,83),(26,74),(26,75),(27,74),(27,82),(28,72),(29,67),(30,70),(31,76),(32,77),(33,41),(33,70),(34,53),(35,36),(36,37),(37,31),(37,71),(38,6),(38,59),(39,3),(39,56),(40,24),(40,78),(40,86),(41,23),(41,68),(41,78),(42,25),(42,80),(43,14),(43,48),(44,28),(44,86),(45,21),(45,85),(46,10),(46,49),(46,67),(47,9),(47,37),(47,86),(48,36),(48,47),(49,42),(49,61),(49,79),(50,21),(50,54),(51,35),(51,48),(52,30),(52,33),(53,22),(53,29),(54,23),(54,24),(54,69),(55,16),(55,53),(55,58),(56,43),(56,51),(57,40),(57,44),(57,70),(58,22),(58,46),(58,85),(59,34),(59,55),(60,26),(60,27),(60,76),(61,25),(61,26),(61,77),(62,64),(62,66),(63,15),(63,52),(63,66),(64,45),(64,50),(64,65),(65,40),(65,41),(65,54),(65,85),(66,33),(66,57),(66,65),(67,32),(67,79),(68,79),(68,81),(69,42),(69,81),(70,28),(70,78),(71,76),(71,84),(72,27),(72,84),(73,84),(74,87),(75,87),(76,75),(76,82),(77,74),(77,83),(78,72),(78,73),(79,77),(79,80),(80,83),(81,80),(82,87),(83,87),(84,82),(85,49),(85,68),(85,69),(86,60),(86,71),(86,72)],88)
[[2,4,4,5],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,6),(4,16),(4,17),(4,54),(5,15),(5,57),(6,9),(6,54),(7,8),(7,53),(8,10),(8,56),(9,45),(10,44),(11,38),(11,50),(12,27),(12,41),(13,14),(13,28),(13,51),(14,29),(14,49),(15,24),(15,52),(16,43),(16,53),(17,11),(17,43),(17,55),(18,22),(18,36),(18,37),(19,69),(20,74),(21,58),(21,59),(22,58),(22,60),(23,67),(23,70),(24,65),(25,62),(25,71),(26,63),(27,64),(28,5),(28,73),(29,31),(29,72),(30,25),(30,68),(31,24),(31,61),(32,33),(33,19),(33,59),(34,20),(34,73),(35,19),(35,61),(36,30),(36,58),(37,40),(37,60),(38,32),(39,23),(39,66),(40,12),(40,42),(40,66),(41,26),(41,64),(42,41),(42,62),(42,67),(43,38),(43,46),(44,31),(44,35),(45,28),(45,34),(46,32),(46,47),(47,33),(47,35),(47,72),(48,21),(48,22),(48,74),(49,21),(49,36),(49,72),(50,20),(50,48),(51,18),(51,48),(51,49),(51,73),(52,23),(52,42),(52,65),(53,46),(53,56),(54,13),(54,45),(54,55),(55,34),(55,50),(55,51),(56,29),(56,44),(56,47),(57,39),(57,40),(57,52),(58,68),(59,68),(59,69),(60,66),(61,25),(61,65),(61,69),(62,26),(62,75),(64,63),(65,62),(65,70),(66,27),(66,67),(67,64),(67,75),(68,71),(69,70),(69,71),(70,75),(71,75),(72,30),(72,59),(72,61),(73,37),(73,57),(73,74),(74,39),(74,60),(75,63)],76)
[[2,3,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,15),(2,1),(3,6),(3,7),(4,62),(5,63),(6,17),(6,65),(7,9),(7,65),(8,10),(8,64),(9,55),(10,54),(11,24),(11,61),(12,32),(12,60),(13,31),(13,49),(14,16),(14,58),(14,69),(15,59),(15,64),(16,33),(16,56),(17,14),(17,59),(17,67),(18,46),(18,47),(18,48),(19,26),(19,51),(19,52),(20,70),(20,73),(21,70),(22,72),(23,11),(23,94),(24,79),(25,77),(25,78),(26,74),(26,75),(27,82),(28,78),(28,85),(29,77),(29,84),(30,76),(31,5),(31,90),(32,4),(32,89),(33,57),(34,25),(34,86),(35,24),(35,71),(36,30),(36,94),(37,35),(37,92),(38,28),(38,81),(39,27),(39,71),(40,50),(40,72),(41,43),(41,90),(42,44),(42,89),(43,22),(43,93),(44,21),(44,91),(45,20),(45,87),(45,91),(46,37),(46,87),(47,23),(47,88),(48,19),(48,50),(48,87),(48,88),(49,18),(49,53),(49,90),(50,26),(50,73),(50,80),(51,34),(51,74),(52,38),(52,75),(53,40),(53,48),(53,93),(54,32),(54,42),(55,31),(55,41),(56,22),(56,40),(57,20),(57,21),(58,33),(58,68),(59,58),(59,66),(60,45),(60,46),(60,89),(61,25),(61,29),(61,79),(62,35),(62,39),(63,23),(63,36),(64,12),(64,54),(64,66),(65,13),(65,55),(65,67),(66,42),(66,60),(66,68),(67,41),(67,49),(67,69),(68,44),(68,45),(68,57),(69,43),(69,53),(69,56),(70,27),(70,83),(71,28),(71,79),(71,82),(72,30),(72,80),(73,75),(73,83),(74,86),(75,81),(76,29),(76,86),(77,95),(78,95),(79,78),(79,84),(80,74),(80,76),(81,85),(82,84),(82,85),(83,81),(83,82),(84,95),(85,95),(86,77),(87,52),(87,73),(87,92),(88,51),(88,80),(88,94),(89,37),(89,62),(89,91),(90,47),(90,63),(90,93),(91,39),(91,70),(91,92),(92,38),(92,71),(92,83),(93,36),(93,72),(93,88),(94,34),(94,61),(94,76)],96)
[[2,3,5,5],[4]]=>([(0,1),(0,2),(1,6),(1,8),(2,5),(2,9),(3,59),(4,47),(5,36),(6,41),(7,15),(7,61),(8,17),(8,41),(9,13),(9,18),(9,36),(10,35),(10,67),(11,34),(11,51),(12,50),(12,65),(13,68),(13,69),(14,49),(14,52),(15,48),(15,66),(16,33),(16,63),(17,20),(17,64),(17,68),(18,19),(18,62),(18,69),(19,37),(19,55),(20,21),(20,54),(20,72),(21,38),(21,53),(22,93),(23,87),(23,94),(24,81),(24,90),(25,79),(26,80),(26,81),(27,77),(27,84),(28,77),(28,86),(29,91),(30,88),(31,80),(31,89),(32,82),(33,74),(34,3),(34,94),(35,85),(36,7),(36,62),(37,58),(38,39),(39,42),(40,46),(40,74),(41,4),(41,64),(42,35),(42,84),(43,29),(43,79),(44,27),(44,73),(44,83),(45,24),(45,78),(46,28),(46,83),(46,87),(47,14),(47,56),(48,22),(48,75),(49,30),(49,73),(50,25),(50,76),(51,12),(51,60),(51,94),(52,10),(52,42),(52,73),(53,22),(53,57),(54,38),(54,56),(55,33),(55,40),(56,39),(56,52),(57,27),(57,28),(57,93),(58,23),(58,34),(59,25),(59,43),(60,45),(60,65),(60,95),(61,11),(61,58),(61,66),(62,37),(62,61),(63,44),(63,49),(63,74),(64,47),(64,54),(65,24),(65,26),(65,76),(66,23),(66,51),(66,75),(67,26),(67,31),(67,85),(68,70),(68,72),(69,16),(69,55),(69,70),(70,40),(70,63),(70,71),(71,44),(71,46),(71,57),(71,75),(72,48),(72,53),(72,71),(73,67),(73,84),(73,88),(74,30),(74,83),(75,60),(75,87),(75,93),(76,79),(76,80),(76,90),(77,92),(78,29),(78,90),(79,32),(79,91),(80,32),(80,96),(81,96),(83,77),(83,88),(84,85),(84,92),(85,81),(85,89),(86,78),(87,86),(87,95),(88,31),(88,92),(89,96),(90,91),(90,96),(91,82),(92,89),(93,45),(93,86),(94,50),(94,59),(94,95),(95,43),(95,76),(95,78),(96,82)],97)
[[2,4,5,5],[3]]=>([(0,2),(0,3),(1,5),(2,8),(2,10),(3,1),(4,57),(5,6),(5,60),(6,7),(6,64),(7,50),(8,4),(8,58),(9,12),(9,63),(10,13),(10,15),(10,58),(11,48),(11,49),(12,31),(12,61),(13,60),(13,62),(14,46),(14,47),(15,17),(15,62),(15,65),(16,18),(16,30),(16,59),(17,33),(17,55),(18,34),(18,56),(19,29),(19,42),(19,43),(20,84),(21,77),(22,69),(22,76),(23,66),(23,83),(24,70),(25,67),(26,73),(27,67),(27,70),(28,71),(28,72),(29,14),(29,80),(29,83),(30,9),(30,81),(31,74),(32,25),(33,36),(34,37),(34,79),(35,28),(35,85),(36,40),(37,31),(37,68),(38,20),(38,81),(39,22),(39,82),(40,21),(40,66),(41,21),(41,68),(42,35),(42,83),(43,45),(43,80),(44,49),(44,69),(44,72),(45,11),(45,44),(45,82),(46,32),(47,51),(48,24),(48,75),(49,26),(49,75),(50,37),(50,41),(51,24),(51,27),(52,36),(52,53),(53,40),(53,41),(53,79),(54,23),(54,29),(54,84),(55,20),(55,54),(56,23),(56,42),(56,79),(57,30),(57,38),(58,16),(58,57),(58,65),(59,19),(59,54),(59,56),(59,81),(60,52),(60,64),(61,22),(61,44),(61,74),(62,33),(62,52),(63,39),(63,45),(63,61),(64,34),(64,50),(64,53),(65,38),(65,55),(65,59),(66,77),(66,85),(67,78),(68,28),(68,74),(68,77),(69,27),(69,75),(69,86),(70,78),(71,25),(71,86),(72,26),(72,86),(73,78),(74,72),(74,76),(75,70),(75,73),(76,86),(77,71),(77,76),(79,35),(79,66),(79,68),(80,47),(80,82),(81,43),(81,63),(81,84),(82,48),(82,51),(82,69),(83,46),(83,85),(84,39),(84,80),(85,32),(85,71),(86,67),(86,73)],87)
[[2,3,5,5],[5]]=>([(0,1),(0,2),(1,7),(1,9),(2,6),(2,10),(3,63),(4,62),(5,50),(6,39),(7,44),(8,16),(8,65),(9,18),(9,44),(10,14),(10,19),(10,39),(11,37),(11,71),(12,36),(12,54),(13,53),(13,70),(14,72),(14,73),(15,52),(15,55),(16,51),(16,69),(17,35),(17,67),(18,21),(18,68),(18,72),(19,20),(19,66),(19,73),(20,40),(20,58),(21,22),(21,57),(21,76),(22,41),(22,56),(23,99),(24,3),(24,98),(25,83),(26,84),(26,94),(27,84),(27,97),(28,90),(28,96),(29,82),(29,88),(30,82),(30,86),(31,93),(31,97),(32,92),(33,83),(34,85),(35,80),(36,4),(36,96),(37,89),(38,34),(38,98),(39,8),(39,66),(40,61),(41,42),(42,45),(43,49),(43,80),(44,5),(44,68),(45,37),(45,88),(46,29),(46,78),(46,87),(47,25),(47,91),(48,26),(48,81),(49,30),(49,87),(49,90),(50,15),(50,59),(51,23),(51,79),(52,32),(52,78),(53,24),(53,77),(54,13),(54,64),(54,96),(55,11),(55,45),(55,78),(56,23),(56,60),(57,41),(57,59),(58,35),(58,43),(59,42),(59,55),(60,29),(60,30),(60,99),(61,28),(61,36),(62,24),(62,38),(63,25),(63,33),(64,48),(64,70),(64,100),(65,12),(65,61),(65,69),(66,40),(66,65),(67,46),(67,52),(67,80),(68,50),(68,57),(69,28),(69,54),(69,79),(70,26),(70,27),(70,77),(71,27),(71,31),(71,89),(72,74),(72,76),(73,17),(73,58),(73,74),(74,43),(74,67),(74,75),(75,46),(75,49),(75,60),(75,79),(76,51),(76,56),(76,75),(77,94),(77,97),(77,98),(78,71),(78,88),(78,92),(79,64),(79,90),(79,99),(80,32),(80,87),(81,34),(81,94),(82,95),(84,101),(85,33),(85,91),(86,81),(87,82),(87,92),(88,89),(88,95),(89,84),(89,93),(90,86),(90,100),(91,83),(92,31),(92,95),(93,101),(94,85),(94,101),(95,93),(96,53),(96,62),(96,100),(97,47),(97,101),(98,47),(98,63),(98,85),(99,48),(99,86),(100,38),(100,77),(100,81),(101,91)],102)
[[2,5,5,5],[3]]=>([(0,2),(0,3),(1,8),(2,1),(3,4),(3,7),(4,18),(4,19),(4,65),(5,52),(6,17),(6,68),(7,10),(7,65),(8,9),(8,64),(9,11),(9,67),(10,56),(11,55),(12,48),(12,61),(13,46),(13,47),(14,50),(14,51),(15,16),(15,33),(15,62),(16,35),(16,60),(17,26),(17,63),(18,53),(18,64),(19,12),(19,53),(19,66),(20,25),(20,43),(20,44),(21,86),(22,80),(23,72),(23,79),(24,69),(24,85),(25,13),(25,81),(25,85),(26,76),(27,70),(29,70),(29,88),(30,75),(31,73),(31,74),(32,5),(32,88),(33,6),(33,83),(34,27),(35,38),(35,82),(36,31),(36,87),(37,40),(38,26),(38,71),(39,23),(39,84),(40,22),(40,69),(41,21),(41,83),(42,22),(42,71),(43,36),(43,85),(44,45),(44,81),(45,14),(45,49),(45,84),(46,34),(47,54),(48,37),(49,50),(49,72),(49,73),(50,30),(50,77),(51,32),(51,77),(52,28),(53,48),(53,57),(54,29),(54,32),(55,38),(55,42),(56,33),(56,41),(57,37),(57,58),(58,40),(58,42),(58,82),(59,24),(59,25),(59,86),(60,24),(60,43),(60,82),(61,21),(61,59),(62,20),(62,59),(62,60),(62,83),(63,23),(63,49),(63,76),(64,57),(64,67),(65,15),(65,56),(65,66),(66,41),(66,61),(66,62),(67,35),(67,55),(67,58),(68,39),(68,45),(68,63),(69,80),(69,87),(70,78),(71,31),(71,76),(71,80),(72,29),(72,77),(72,89),(73,30),(73,89),(74,27),(74,89),(75,78),(76,73),(76,79),(77,75),(77,88),(78,28),(79,89),(80,74),(80,79),(81,47),(81,84),(82,36),(82,69),(82,71),(83,44),(83,68),(83,86),(84,51),(84,54),(84,72),(85,46),(85,87),(86,39),(86,81),(87,34),(87,74),(88,52),(88,78),(89,70),(89,75)],90)
[[2,4,4,4],[5]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,21),(5,9),(5,37),(6,10),(6,37),(7,8),(7,39),(8,34),(9,7),(9,38),(10,33),(11,27),(11,29),(12,15),(12,31),(13,19),(13,28),(14,40),(15,41),(16,42),(17,43),(18,3),(18,49),(19,2),(19,46),(20,4),(20,43),(22,20),(22,45),(23,16),(23,49),(24,30),(24,40),(25,26),(25,46),(26,14),(26,48),(27,18),(27,47),(28,11),(28,32),(28,46),(29,12),(29,30),(29,47),(30,15),(30,44),(31,22),(31,41),(32,24),(32,29),(32,48),(33,19),(33,25),(34,14),(34,24),(35,17),(35,20),(36,18),(36,23),(37,13),(37,33),(37,38),(38,25),(38,28),(38,39),(39,26),(39,32),(39,34),(40,16),(40,44),(41,45),(42,17),(42,45),(43,21),(44,41),(44,42),(45,43),(46,27),(46,36),(46,48),(47,31),(47,44),(47,49),(48,23),(48,40),(48,47),(49,22),(49,35),(49,42)],50)
[[2,4,4,5],[4]]=>([(0,2),(0,3),(1,5),(2,8),(2,10),(3,1),(4,52),(5,6),(5,55),(6,7),(6,59),(7,46),(8,4),(8,53),(9,13),(9,58),(10,11),(10,15),(10,53),(11,55),(11,57),(12,29),(12,45),(13,28),(13,56),(14,27),(14,30),(15,17),(15,57),(15,60),(16,18),(16,26),(16,54),(17,31),(17,50),(18,32),(18,51),(19,23),(19,39),(19,40),(20,77),(21,72),(22,61),(22,62),(23,61),(23,63),(24,69),(24,73),(25,74),(25,78),(26,9),(26,76),(27,66),(28,65),(29,68),(30,66),(31,34),(32,35),(32,75),(33,25),(33,71),(34,37),(35,28),(35,64),(36,20),(36,76),(37,21),(37,62),(38,21),(38,64),(39,33),(39,61),(40,44),(40,63),(41,45),(41,69),(41,78),(42,27),(42,70),(43,24),(43,67),(44,12),(44,41),(44,67),(45,14),(45,42),(45,68),(46,35),(46,38),(47,34),(47,48),(48,37),(48,38),(48,75),(49,22),(49,23),(49,77),(50,20),(50,49),(51,22),(51,39),(51,75),(52,26),(52,36),(53,16),(53,52),(53,60),(54,19),(54,49),(54,51),(54,76),(55,47),(55,59),(56,24),(56,41),(56,65),(57,31),(57,47),(58,43),(58,44),(58,56),(59,32),(59,46),(59,48),(60,36),(60,50),(60,54),(61,71),(62,71),(62,72),(63,67),(64,25),(64,65),(64,72),(65,73),(65,78),(67,29),(67,69),(68,30),(68,70),(69,68),(69,79),(70,66),(71,74),(72,73),(72,74),(73,79),(74,79),(75,33),(75,62),(75,64),(76,40),(76,58),(76,77),(77,43),(77,63),(78,42),(78,79),(79,70)],80)
[[2,4,4,5],[5]]=>([(0,2),(0,3),(1,7),(1,16),(2,9),(2,10),(3,1),(4,62),(5,61),(6,63),(7,8),(7,67),(8,56),(9,5),(9,64),(10,13),(10,64),(11,34),(11,35),(12,33),(12,66),(13,18),(13,68),(13,72),(14,32),(14,65),(15,31),(15,55),(16,67),(16,68),(17,44),(17,59),(18,17),(18,57),(18,70),(19,24),(19,53),(19,54),(20,49),(20,50),(20,51),(21,73),(21,77),(22,73),(23,76),(24,78),(24,79),(25,86),(26,82),(26,89),(27,81),(27,88),(28,80),(29,12),(29,98),(30,11),(30,81),(30,82),(31,6),(31,94),(32,4),(32,93),(33,83),(34,74),(35,74),(36,33),(36,75),(37,30),(37,90),(38,28),(38,98),(39,46),(39,94),(40,36),(40,96),(41,25),(41,75),(42,26),(42,85),(43,52),(43,76),(44,60),(45,47),(45,93),(46,23),(46,97),(47,22),(47,95),(48,21),(48,91),(48,95),(49,40),(49,91),(50,29),(50,92),(51,19),(51,52),(51,91),(51,92),(52,24),(52,77),(52,84),(53,37),(53,78),(54,42),(54,79),(55,20),(55,58),(55,94),(56,32),(56,45),(57,44),(57,71),(58,43),(58,51),(58,97),(59,23),(59,43),(60,21),(60,22),(61,31),(61,39),(62,36),(62,41),(63,29),(63,38),(64,15),(64,61),(64,72),(65,48),(65,49),(65,93),(66,27),(66,30),(66,83),(67,14),(67,56),(67,69),(68,57),(68,69),(69,45),(69,65),(69,71),(70,46),(70,58),(70,59),(71,47),(71,48),(71,60),(72,39),(72,55),(72,70),(73,25),(73,87),(75,26),(75,83),(75,86),(76,28),(76,84),(77,79),(77,87),(78,90),(79,85),(80,27),(80,90),(81,35),(81,99),(82,34),(82,99),(83,82),(83,88),(84,78),(84,80),(85,89),(86,88),(86,89),(87,85),(87,86),(88,99),(89,99),(90,81),(91,54),(91,77),(91,96),(92,53),(92,84),(92,98),(93,40),(93,62),(93,95),(94,50),(94,63),(94,97),(95,41),(95,73),(95,96),(96,42),(96,75),(96,87),(97,38),(97,76),(97,92),(98,37),(98,66),(98,80),(99,74)],100)
[[2,4,5,5],[4]]=>([(0,2),(0,3),(1,5),(2,8),(2,10),(3,1),(4,61),(5,6),(5,65),(6,7),(6,68),(7,54),(8,4),(8,62),(9,15),(9,67),(10,12),(10,13),(10,62),(11,52),(11,53),(12,65),(12,66),(13,19),(13,66),(13,69),(14,49),(14,51),(15,32),(15,63),(16,31),(16,50),(17,18),(17,33),(17,64),(18,38),(18,59),(19,36),(19,55),(20,30),(20,41),(20,42),(21,79),(22,83),(23,71),(24,72),(24,86),(25,73),(25,81),(26,78),(26,87),(27,80),(28,75),(29,71),(29,75),(30,14),(30,84),(30,86),(31,77),(32,76),(33,9),(33,85),(34,26),(34,90),(35,22),(35,85),(36,39),(37,28),(38,46),(38,89),(39,45),(40,25),(40,88),(41,34),(41,86),(42,48),(42,84),(43,53),(43,73),(43,87),(44,31),(44,74),(45,21),(45,72),(46,32),(46,70),(47,21),(47,70),(48,11),(48,43),(48,88),(49,37),(50,27),(50,77),(51,58),(52,23),(52,91),(53,16),(53,44),(53,91),(54,46),(54,47),(55,22),(55,60),(56,39),(56,57),(57,45),(57,47),(57,89),(58,23),(58,29),(59,24),(59,41),(59,89),(60,24),(60,30),(60,83),(61,33),(61,35),(62,17),(62,61),(62,69),(63,25),(63,43),(63,76),(64,20),(64,59),(64,60),(64,85),(65,56),(65,68),(66,36),(66,56),(67,40),(67,48),(67,63),(68,38),(68,54),(68,57),(69,35),(69,55),(69,64),(70,26),(70,76),(70,79),(71,27),(71,82),(72,79),(72,90),(73,29),(73,91),(73,92),(74,77),(74,82),(75,82),(76,81),(76,87),(77,80),(78,28),(78,92),(79,78),(79,81),(81,92),(82,80),(83,40),(83,84),(84,51),(84,88),(85,42),(85,67),(85,83),(86,49),(86,90),(87,44),(87,92),(88,52),(88,58),(88,73),(89,34),(89,70),(89,72),(90,37),(90,78),(91,50),(91,71),(91,74),(92,74),(92,75)],93)
[[2,4,5,5],[5]]=>([(0,1),(0,2),(1,9),(1,11),(2,8),(2,12),(3,89),(4,88),(5,86),(6,87),(7,85),(8,55),(9,5),(9,92),(10,20),(10,93),(11,22),(11,92),(12,16),(12,17),(12,55),(13,48),(13,95),(14,47),(14,77),(15,49),(15,98),(16,99),(16,100),(17,24),(17,94),(17,100),(18,50),(18,76),(19,75),(19,97),(20,74),(20,96),(21,46),(21,78),(22,23),(22,99),(22,105),(23,25),(23,103),(23,104),(24,56),(24,82),(25,79),(25,81),(26,65),(26,66),(26,67),(27,37),(27,72),(27,91),(28,127),(29,110),(30,135),(31,4),(31,139),(32,119),(32,133),(33,107),(33,124),(34,107),(34,123),(35,122),(35,143),(36,119),(36,144),(37,113),(37,120),(38,128),(39,131),(39,146),(40,117),(41,121),(42,116),(43,118),(43,132),(44,15),(44,145),(45,18),(45,118),(45,146),(46,7),(46,143),(47,3),(47,136),(48,6),(48,137),(49,114),(50,108),(51,49),(51,112),(52,45),(52,134),(53,29),(53,142),(54,40),(54,145),(55,10),(55,94),(56,83),(57,41),(57,139),(58,53),(58,136),(59,51),(59,141),(60,38),(60,112),(61,39),(61,130),(61,144),(62,71),(62,137),(63,73),(63,110),(64,34),(64,109),(64,140),(65,59),(65,109),(66,44),(66,138),(67,27),(67,73),(67,109),(67,138),(68,28),(68,116),(69,68),(69,125),(70,32),(70,115),(71,33),(71,122),(71,140),(72,52),(72,113),(73,37),(73,123),(73,126),(74,30),(74,111),(75,31),(75,106),(76,28),(76,108),(77,26),(77,80),(77,136),(78,19),(78,90),(78,143),(79,30),(79,84),(80,63),(80,67),(80,142),(81,29),(81,63),(82,48),(82,62),(83,35),(83,46),(84,33),(84,34),(84,135),(85,31),(85,57),(86,47),(86,58),(87,51),(87,60),(88,42),(88,68),(89,44),(89,54),(90,70),(90,97),(90,147),(91,36),(91,61),(91,120),(92,14),(92,86),(92,105),(93,21),(93,83),(93,96),(94,56),(94,93),(95,64),(95,65),(95,137),(96,35),(96,78),(96,111),(97,32),(97,36),(97,106),(98,43),(98,45),(98,114),(99,101),(99,103),(100,13),(100,82),(100,101),(101,62),(101,95),(101,102),(102,64),(102,71),(102,84),(102,111),(103,74),(103,79),(103,102),(104,53),(104,80),(104,81),(105,58),(105,77),(105,104),(106,133),(106,139),(106,144),(107,38),(107,129),(108,127),(109,91),(109,123),(109,141),(110,40),(110,126),(111,90),(111,122),(111,135),(112,39),(112,114),(112,128),(113,134),(114,132),(114,146),(115,41),(115,133),(116,127),(117,43),(117,134),(118,50),(118,148),(119,149),(120,119),(120,130),(121,42),(121,125),(122,124),(122,147),(123,120),(123,129),(124,115),(125,116),(126,113),(126,117),(128,131),(128,132),(129,128),(129,130),(130,131),(130,149),(131,148),(132,148),(133,121),(133,149),(134,118),(135,70),(135,124),(136,66),(136,89),(136,142),(137,59),(137,87),(137,140),(138,72),(138,126),(138,145),(139,69),(139,88),(139,121),(140,60),(140,107),(140,141),(141,61),(141,112),(141,129),(142,54),(142,110),(142,138),(143,75),(143,85),(143,147),(144,69),(144,149),(145,52),(145,98),(145,117),(146,76),(146,148),(147,57),(147,106),(147,115),(148,108),(149,125)],150)
[[2,5,5,5],[4]]=>([(0,2),(0,3),(1,6),(2,9),(2,11),(3,1),(4,65),(5,64),(6,7),(6,69),(7,8),(7,72),(8,57),(9,5),(9,66),(10,16),(10,71),(11,13),(11,18),(11,66),(12,54),(12,55),(13,69),(13,70),(14,53),(14,56),(15,20),(15,35),(15,68),(16,34),(16,67),(17,33),(17,52),(18,19),(18,70),(18,73),(19,39),(19,63),(20,36),(20,58),(21,32),(21,44),(21,45),(22,91),(23,85),(24,81),(25,4),(25,87),(26,76),(26,86),(27,74),(27,89),(28,81),(29,82),(29,92),(30,78),(31,78),(31,87),(32,12),(32,88),(32,89),(33,80),(34,79),(35,10),(35,90),(36,48),(36,94),(37,30),(38,29),(38,95),(39,41),(40,26),(40,93),(41,49),(42,22),(42,90),(43,24),(43,83),(44,51),(44,88),(45,38),(45,89),(46,56),(46,76),(46,92),(47,33),(47,77),(48,34),(48,75),(49,23),(49,74),(50,23),(50,75),(51,14),(51,46),(51,93),(52,43),(52,80),(53,25),(53,96),(54,37),(55,59),(56,17),(56,47),(56,96),(57,48),(57,50),(58,27),(58,45),(58,94),(59,25),(59,31),(60,27),(60,32),(60,91),(61,41),(61,62),(62,49),(62,50),(62,94),(63,22),(63,60),(64,35),(64,42),(65,24),(65,28),(66,15),(66,64),(66,73),(67,26),(67,46),(67,79),(68,21),(68,58),(68,60),(68,90),(69,61),(69,72),(70,39),(70,61),(71,40),(71,51),(71,67),(72,36),(72,57),(72,62),(73,42),(73,63),(73,68),(74,85),(74,95),(75,29),(75,79),(75,85),(76,31),(76,96),(76,97),(77,80),(77,84),(78,84),(79,86),(79,92),(80,83),(82,30),(82,97),(83,81),(84,28),(84,83),(85,82),(85,86),(86,97),(87,43),(87,65),(87,84),(88,55),(88,93),(89,54),(89,95),(90,44),(90,71),(90,91),(91,40),(91,88),(92,47),(92,97),(93,53),(93,59),(93,76),(94,38),(94,74),(94,75),(95,37),(95,82),(96,52),(96,77),(96,87),(97,77),(97,78)],98)
[[2,5,5,5],[5]]=>([(0,2),(0,3),(1,9),(2,1),(3,7),(3,8),(4,71),(5,20),(5,75),(6,37),(7,19),(7,21),(7,72),(8,11),(8,72),(9,10),(9,70),(10,12),(10,74),(11,65),(12,64),(13,50),(13,51),(14,52),(14,68),(15,48),(15,53),(16,27),(16,49),(17,18),(17,36),(17,69),(18,38),(18,60),(19,63),(19,70),(20,25),(20,62),(21,14),(21,63),(21,73),(22,26),(22,45),(22,46),(23,93),(24,87),(25,83),(26,13),(26,90),(26,91),(27,81),(28,78),(28,88),(29,76),(29,91),(30,82),(31,84),(31,94),(32,79),(33,79),(33,89),(34,6),(34,82),(35,4),(35,89),(36,5),(36,92),(38,56),(38,96),(39,32),(40,31),(40,97),(41,28),(41,95),(42,34),(42,85),(43,57),(44,23),(44,92),(45,47),(45,90),(46,40),(46,91),(47,15),(47,55),(47,95),(48,35),(48,98),(49,42),(49,81),(50,39),(51,61),(52,43),(53,16),(53,54),(53,98),(54,27),(54,80),(55,53),(55,78),(55,94),(56,25),(56,77),(57,24),(57,76),(58,24),(58,77),(59,26),(59,29),(59,93),(60,29),(60,46),(60,96),(61,33),(61,35),(62,28),(62,55),(62,83),(63,52),(63,67),(64,56),(64,58),(65,36),(65,44),(66,57),(66,58),(66,96),(67,43),(67,66),(68,23),(68,59),(69,22),(69,59),(69,60),(69,92),(70,67),(70,74),(71,30),(71,34),(72,17),(72,65),(72,73),(73,44),(73,68),(73,69),(74,38),(74,64),(74,66),(75,41),(75,47),(75,62),(76,87),(76,97),(77,31),(77,83),(77,87),(78,33),(78,98),(78,99),(79,86),(80,81),(80,86),(81,85),(82,37),(83,88),(83,94),(84,32),(84,99),(85,82),(86,30),(86,85),(87,84),(87,88),(88,99),(89,42),(89,71),(89,86),(90,51),(90,95),(91,50),(91,97),(92,45),(92,75),(92,93),(93,41),(93,90),(94,54),(94,99),(95,48),(95,61),(95,78),(96,40),(96,76),(96,77),(97,39),(97,84),(98,49),(98,80),(98,89),(99,79),(99,80)],100)
[[3,3,3,3],[5]]=>([(0,1),(1,3),(1,4),(2,12),(3,6),(3,25),(4,7),(4,25),(5,26),(6,27),(7,8),(7,29),(8,5),(8,28),(9,13),(9,14),(10,15),(10,20),(11,16),(11,21),(13,35),(14,2),(14,35),(15,33),(16,34),(17,32),(18,19),(18,33),(19,17),(19,30),(20,11),(20,24),(20,33),(21,9),(21,22),(21,34),(22,14),(22,31),(23,22),(23,32),(24,21),(24,23),(24,30),(25,10),(25,27),(25,29),(26,17),(26,23),(27,15),(27,18),(28,19),(28,24),(28,26),(29,18),(29,20),(29,28),(30,32),(30,34),(31,35),(32,31),(33,16),(33,30),(34,13),(34,31),(35,12)],36)
[[3,3,3,4],[5]]=>([(0,1),(1,4),(1,5),(2,33),(3,29),(4,7),(4,34),(5,8),(5,34),(6,9),(6,36),(7,6),(7,35),(8,32),(9,30),(10,23),(10,26),(11,18),(11,24),(12,19),(12,25),(13,38),(14,37),(15,40),(16,41),(18,3),(18,43),(19,2),(19,42),(20,14),(20,45),(21,18),(21,39),(22,20),(22,42),(23,13),(23,44),(24,15),(24,43),(25,10),(25,31),(25,42),(26,11),(26,21),(26,44),(27,21),(27,37),(28,16),(28,38),(29,17),(30,14),(30,27),(31,26),(31,27),(31,45),(32,19),(32,22),(33,13),(33,28),(34,12),(34,32),(34,35),(35,22),(35,25),(35,36),(36,20),(36,30),(36,31),(37,16),(37,39),(38,15),(38,41),(39,41),(39,43),(40,17),(41,40),(42,23),(42,33),(42,45),(43,29),(43,40),(44,24),(44,38),(44,39),(45,28),(45,37),(45,44)],46)
[[3,3,3,5],[4]]=>([(0,2),(0,3),(1,6),(1,14),(2,8),(2,9),(3,1),(4,30),(5,33),(6,7),(6,44),(7,40),(8,29),(9,11),(9,29),(10,23),(10,35),(11,16),(11,43),(11,45),(12,34),(12,36),(13,22),(13,42),(14,44),(14,45),(15,26),(15,28),(16,15),(16,37),(16,39),(17,50),(18,48),(18,50),(20,51),(21,52),(22,49),(23,4),(23,55),(24,23),(24,48),(25,24),(26,25),(27,31),(27,49),(28,38),(29,5),(29,43),(30,19),(31,17),(31,53),(32,18),(32,53),(32,56),(33,12),(33,41),(34,21),(34,56),(35,20),(35,55),(36,10),(36,24),(36,56),(37,26),(37,41),(38,17),(38,18),(39,28),(39,47),(40,22),(40,27),(41,25),(41,36),(42,32),(42,34),(42,49),(43,33),(43,37),(44,13),(44,40),(44,46),(45,39),(45,46),(46,27),(46,42),(46,47),(47,31),(47,32),(47,38),(48,54),(48,55),(49,21),(49,53),(50,54),(51,19),(52,20),(52,54),(53,50),(53,52),(54,51),(55,30),(55,51),(56,35),(56,48),(56,52)],57)
[[3,3,3,5],[5]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,5),(3,8),(4,51),(5,42),(6,41),(7,40),(8,17),(8,42),(9,10),(9,52),(10,45),(11,25),(11,49),(12,35),(12,37),(13,24),(13,36),(14,16),(14,47),(14,50),(15,48),(15,52),(16,26),(16,27),(17,14),(17,44),(17,48),(18,56),(19,57),(20,55),(20,56),(21,59),(22,58),(24,7),(24,66),(25,4),(25,62),(26,31),(27,46),(28,23),(29,22),(29,61),(30,20),(30,63),(30,64),(31,38),(32,34),(32,62),(33,19),(33,65),(34,18),(34,63),(35,33),(35,64),(36,29),(36,66),(37,13),(37,38),(37,64),(38,24),(38,55),(39,21),(39,57),(40,28),(41,12),(41,43),(42,6),(42,44),(43,31),(43,37),(44,41),(44,50),(45,25),(45,32),(46,18),(46,20),(47,27),(47,54),(48,47),(48,53),(49,30),(49,35),(49,62),(50,26),(50,43),(51,19),(51,39),(52,11),(52,45),(52,53),(53,32),(53,49),(53,54),(54,30),(54,34),(54,46),(55,60),(55,66),(56,21),(56,60),(57,22),(57,59),(58,23),(59,58),(60,59),(60,61),(61,28),(61,58),(62,33),(62,51),(62,63),(63,39),(63,56),(63,65),(64,36),(64,55),(64,65),(65,29),(65,57),(65,60),(66,40),(66,61)],67)
[[3,3,4,4],[5]]=>([(0,1),(1,5),(1,6),(2,38),(3,37),(4,33),(5,9),(5,39),(6,10),(6,39),(7,8),(7,41),(8,35),(9,7),(9,40),(10,34),(11,27),(11,32),(12,19),(12,29),(13,20),(13,25),(14,45),(15,44),(17,43),(18,44),(19,4),(19,47),(20,3),(20,46),(21,2),(21,48),(22,23),(22,43),(23,19),(23,42),(24,26),(24,46),(25,11),(25,36),(25,46),(26,17),(26,50),(27,12),(27,23),(27,51),(28,16),(29,30),(29,47),(30,18),(30,49),(31,14),(31,48),(32,21),(32,51),(33,28),(34,20),(34,24),(35,17),(35,22),(36,22),(36,27),(36,50),(37,21),(37,31),(38,15),(38,18),(39,13),(39,34),(39,40),(40,24),(40,25),(40,41),(41,26),(41,35),(41,36),(42,45),(42,47),(43,14),(43,42),(44,16),(45,15),(45,49),(46,32),(46,37),(46,50),(47,33),(47,49),(48,30),(48,38),(48,45),(49,28),(49,44),(50,31),(50,43),(50,51),(51,29),(51,42),(51,48)],52)
[[3,3,4,5],[4]]=>([(0,1),(0,2),(1,5),(1,8),(2,6),(2,9),(3,57),(4,46),(5,41),(6,36),(7,13),(7,59),(8,14),(8,41),(9,12),(9,18),(9,36),(10,35),(10,64),(11,32),(11,63),(12,66),(12,67),(13,48),(13,60),(14,19),(14,61),(14,66),(15,47),(15,49),(16,33),(16,65),(17,34),(17,50),(18,20),(18,62),(18,67),(19,21),(19,54),(19,68),(20,37),(20,53),(21,38),(21,56),(22,81),(22,85),(23,74),(24,76),(24,83),(25,75),(25,81),(26,76),(26,87),(27,71),(27,73),(28,82),(28,83),(29,80),(30,77),(31,77),(32,3),(32,91),(33,72),(34,73),(35,79),(36,7),(36,62),(37,55),(38,39),(39,42),(40,25),(40,78),(40,89),(41,4),(41,61),(42,32),(42,75),(43,44),(43,72),(44,22),(44,71),(44,78),(45,26),(45,86),(46,15),(46,52),(47,29),(47,89),(48,23),(48,90),(49,11),(49,42),(49,89),(50,10),(50,51),(50,73),(51,45),(51,64),(51,84),(52,39),(52,49),(53,33),(53,43),(54,38),(54,52),(55,27),(55,34),(56,23),(56,58),(57,30),(57,31),(58,22),(58,25),(58,74),(59,17),(59,55),(59,60),(60,27),(60,50),(60,90),(61,46),(61,54),(62,37),(62,59),(63,24),(63,28),(63,91),(64,24),(64,26),(64,79),(65,40),(65,47),(65,72),(66,68),(66,69),(67,16),(67,53),(67,69),(68,48),(68,56),(68,70),(69,43),(69,65),(69,70),(70,40),(70,44),(70,58),(70,90),(71,84),(71,85),(72,29),(72,78),(73,35),(73,84),(74,45),(74,85),(75,88),(75,91),(76,31),(76,92),(78,80),(78,81),(79,83),(79,87),(80,28),(80,88),(81,88),(82,30),(82,92),(83,92),(84,79),(84,86),(85,86),(86,87),(87,92),(88,82),(89,63),(89,75),(89,80),(90,51),(90,71),(90,74),(91,57),(91,76),(91,82),(92,77)],93)
[[3,3,4,5],[5]]=>([(0,2),(0,3),(1,7),(1,16),(2,9),(2,10),(3,1),(4,66),(5,65),(6,67),(7,8),(7,71),(8,63),(9,5),(9,68),(10,15),(10,68),(11,35),(11,70),(12,33),(12,69),(13,57),(13,58),(14,34),(14,59),(15,17),(15,72),(15,76),(16,71),(16,72),(17,18),(17,64),(17,74),(18,45),(18,61),(19,48),(19,51),(19,52),(20,32),(20,49),(20,50),(21,81),(21,86),(22,80),(23,79),(24,77),(24,80),(25,89),(26,85),(27,86),(27,87),(28,82),(29,82),(30,81),(30,90),(31,12),(31,96),(32,13),(32,92),(32,102),(33,83),(34,6),(34,95),(35,4),(35,93),(36,29),(37,24),(37,97),(37,99),(38,23),(38,101),(39,22),(39,99),(40,38),(40,95),(41,21),(41,100),(42,54),(42,98),(43,28),(44,39),(44,93),(45,62),(46,26),(46,96),(47,27),(47,94),(48,42),(48,97),(49,47),(49,102),(50,41),(50,92),(51,31),(51,91),(52,20),(52,53),(52,91),(52,97),(53,32),(53,77),(53,84),(54,33),(54,78),(55,53),(55,79),(56,25),(56,78),(57,43),(58,36),(59,19),(59,60),(59,95),(60,52),(60,55),(60,101),(61,23),(61,55),(62,22),(62,24),(63,35),(63,44),(64,45),(64,75),(65,34),(65,40),(66,54),(66,56),(67,31),(67,46),(68,14),(68,65),(68,76),(69,21),(69,30),(69,83),(70,37),(70,48),(70,93),(71,11),(71,63),(71,73),(72,64),(72,73),(73,44),(73,70),(73,75),(74,38),(74,60),(74,61),(75,37),(75,39),(75,62),(76,40),(76,59),(76,74),(77,88),(77,102),(78,27),(78,83),(78,89),(79,26),(79,84),(80,25),(80,88),(81,29),(81,103),(83,86),(83,90),(84,85),(84,92),(85,30),(85,100),(86,103),(87,28),(87,103),(88,89),(88,94),(89,87),(89,90),(90,103),(91,50),(91,84),(91,96),(92,58),(92,100),(93,42),(93,66),(93,99),(94,43),(94,87),(95,51),(95,67),(95,101),(96,41),(96,69),(96,85),(97,49),(97,77),(97,98),(98,47),(98,78),(98,88),(99,56),(99,80),(99,98),(100,36),(100,81),(101,46),(101,79),(101,91),(102,57),(102,94),(103,82)],104)
[[3,3,5,5],[4]]=>([(0,1),(0,2),(1,6),(1,9),(2,7),(2,10),(3,63),(4,51),(5,64),(6,46),(7,41),(8,14),(8,66),(9,16),(9,46),(10,15),(10,19),(10,41),(11,54),(11,72),(12,37),(12,68),(13,39),(13,71),(14,53),(14,69),(15,73),(15,74),(16,20),(16,67),(16,73),(17,52),(17,55),(18,38),(18,56),(19,21),(19,70),(19,74),(20,22),(20,59),(20,75),(21,42),(21,60),(22,43),(22,58),(23,78),(24,80),(24,95),(25,82),(25,99),(26,86),(26,94),(27,80),(27,88),(28,85),(29,79),(29,86),(30,81),(31,81),(32,96),(33,84),(34,87),(34,88),(36,89),(37,83),(38,5),(38,99),(39,3),(39,100),(40,48),(40,83),(41,8),(41,70),(42,61),(43,44),(44,45),(45,39),(45,79),(46,4),(46,67),(47,29),(47,92),(47,101),(48,26),(48,82),(48,92),(49,24),(49,93),(50,32),(50,85),(51,17),(51,57),(52,33),(52,101),(53,23),(53,98),(54,28),(54,91),(55,13),(55,45),(55,101),(56,11),(56,65),(56,99),(57,44),(57,55),(58,23),(58,62),(59,43),(59,57),(60,37),(60,40),(61,25),(61,38),(62,26),(62,29),(62,78),(63,30),(63,31),(64,28),(64,50),(65,49),(65,72),(65,90),(66,18),(66,61),(66,69),(67,51),(67,59),(68,47),(68,52),(68,83),(69,25),(69,56),(69,98),(70,42),(70,66),(71,27),(71,34),(71,100),(72,24),(72,27),(72,91),(73,75),(73,77),(74,12),(74,60),(74,77),(75,53),(75,58),(75,76),(76,47),(76,48),(76,62),(76,98),(77,40),(77,68),(77,76),(78,49),(78,94),(79,97),(79,100),(80,31),(80,102),(81,35),(82,90),(82,94),(83,33),(83,92),(84,34),(84,97),(85,36),(85,96),(86,97),(87,30),(87,102),(88,36),(88,102),(89,35),(90,50),(90,91),(90,93),(91,85),(91,88),(91,95),(92,84),(92,86),(93,32),(93,95),(94,93),(95,96),(95,102),(96,89),(97,87),(98,65),(98,78),(98,82),(99,54),(99,64),(99,90),(100,63),(100,80),(100,87),(101,71),(101,79),(101,84),(102,81),(102,89)],103)
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[[3,4,4,4],[5]]=>([(0,1),(1,6),(1,7),(2,41),(3,36),(4,40),(5,35),(6,10),(6,42),(7,11),(7,42),(8,9),(8,44),(9,38),(10,8),(10,43),(11,37),(12,29),(12,34),(13,20),(13,31),(14,21),(14,27),(15,47),(16,46),(18,54),(19,5),(19,54),(20,3),(20,49),(21,4),(21,48),(22,2),(22,50),(23,24),(23,46),(24,20),(24,45),(25,28),(25,48),(26,17),(27,12),(27,39),(27,48),(28,16),(28,52),(29,13),(29,24),(29,53),(30,26),(31,32),(31,49),(32,19),(32,51),(33,15),(33,50),(34,22),(34,53),(35,17),(36,30),(37,21),(37,25),(38,16),(38,23),(39,23),(39,29),(39,52),(40,22),(40,33),(41,18),(41,19),(42,14),(42,37),(42,43),(43,25),(43,27),(43,44),(44,28),(44,38),(44,39),(45,47),(45,49),(46,15),(46,45),(47,18),(47,51),(48,34),(48,40),(48,52),(49,36),(49,51),(50,32),(50,41),(50,47),(51,30),(51,54),(52,33),(52,46),(52,53),(53,31),(53,45),(53,50),(54,26),(54,35)],55)
[[3,4,4,5],[4]]=>([(0,1),(0,2),(1,6),(1,9),(2,7),(2,10),(3,77),(4,63),(5,79),(6,55),(7,3),(7,80),(8,18),(8,90),(9,20),(9,55),(10,16),(10,19),(10,80),(11,44),(11,66),(12,43),(12,68),(13,41),(13,82),(14,42),(14,86),(15,45),(15,85),(16,87),(16,88),(17,65),(17,67),(18,39),(18,81),(19,24),(19,88),(19,93),(20,22),(20,83),(20,87),(21,23),(21,40),(21,84),(22,25),(22,71),(22,92),(23,46),(23,73),(24,72),(24,76),(25,47),(25,69),(26,30),(26,54),(26,62),(27,125),(28,117),(29,119),(29,126),(30,94),(30,98),(31,105),(31,126),(32,106),(32,114),(33,94),(33,108),(34,101),(34,109),(35,101),(35,104),(36,96),(37,116),(38,105),(38,118),(39,95),(40,8),(40,124),(41,97),(42,5),(42,102),(43,113),(44,103),(45,112),(46,49),(46,100),(47,48),(48,56),(49,39),(49,122),(50,61),(50,97),(51,28),(51,96),(52,27),(52,124),(53,29),(53,115),(53,123),(54,64),(54,98),(55,4),(55,83),(56,42),(56,109),(57,68),(57,106),(57,123),(58,66),(58,107),(59,32),(59,111),(60,34),(60,99),(60,110),(61,35),(61,108),(61,110),(62,15),(62,78),(62,94),(63,17),(63,74),(64,12),(64,57),(64,111),(65,37),(65,99),(66,28),(66,103),(67,14),(67,56),(67,99),(68,11),(68,58),(68,113),(69,49),(69,75),(70,30),(70,33),(70,125),(71,47),(71,74),(72,41),(72,50),(73,33),(73,62),(73,100),(74,48),(74,67),(75,34),(75,35),(75,122),(76,27),(76,70),(77,40),(77,52),(78,53),(78,85),(78,120),(79,36),(79,51),(80,21),(80,77),(80,93),(81,32),(81,57),(81,95),(82,60),(82,65),(82,97),(83,63),(83,71),(84,26),(84,70),(84,73),(84,124),(85,29),(85,31),(85,112),(86,31),(86,38),(86,102),(87,89),(87,92),(88,13),(88,72),(88,89),(89,50),(89,82),(89,91),(90,59),(90,64),(90,81),(91,60),(91,61),(91,75),(91,100),(92,46),(92,69),(92,91),(93,52),(93,76),(93,84),(94,45),(94,120),(95,114),(95,123),(96,117),(97,37),(97,110),(98,111),(99,86),(99,109),(99,116),(100,78),(100,108),(100,122),(101,121),(102,79),(102,118),(102,126),(103,117),(104,114),(104,115),(105,127),(106,113),(106,128),(107,103),(108,104),(108,120),(109,102),(109,121),(110,101),(110,116),(111,43),(111,106),(112,105),(112,119),(113,44),(113,107),(114,128),(115,119),(115,128),(116,38),(116,121),(118,36),(118,127),(119,127),(120,112),(120,115),(121,118),(122,53),(122,95),(122,104),(123,58),(123,128),(124,54),(124,90),(124,125),(125,59),(125,98),(126,51),(126,127),(127,96),(128,107)],129)
[[3,4,4,5],[5]]=>([(0,2),(0,3),(1,7),(1,17),(2,9),(2,10),(3,1),(4,70),(5,69),(6,71),(7,8),(7,75),(8,67),(9,5),(9,72),(10,16),(10,72),(11,37),(11,63),(12,34),(12,74),(13,36),(13,73),(14,60),(14,61),(15,35),(15,62),(16,18),(16,76),(16,80),(17,75),(17,76),(18,19),(18,68),(18,78),(19,47),(19,65),(20,51),(20,53),(20,54),(21,33),(21,50),(21,52),(22,92),(23,83),(24,84),(25,81),(25,84),(26,94),(27,89),(28,90),(28,91),(29,95),(29,108),(30,85),(31,12),(31,101),(32,11),(32,90),(32,108),(33,14),(33,97),(33,107),(34,87),(35,6),(35,100),(36,4),(36,99),(37,86),(38,23),(38,106),(39,24),(39,105),(40,25),(40,103),(40,105),(41,38),(41,100),(42,57),(43,32),(43,102),(44,56),(44,104),(45,30),(46,39),(46,99),(47,66),(48,27),(48,101),(49,28),(49,98),(50,49),(50,107),(51,44),(51,103),(52,43),(52,97),(53,31),(53,96),(54,21),(54,55),(54,96),(54,103),(55,33),(55,81),(55,88),(56,34),(56,82),(57,22),(57,85),(58,55),(58,83),(59,26),(59,82),(60,45),(61,42),(62,20),(62,64),(62,100),(63,22),(63,86),(64,54),(64,58),(64,106),(65,23),(65,58),(66,24),(66,25),(67,36),(67,46),(68,47),(68,79),(69,35),(69,41),(70,56),(70,59),(71,31),(71,48),(72,15),(72,69),(72,80),(73,40),(73,51),(73,99),(74,29),(74,32),(74,87),(75,13),(75,67),(75,77),(76,68),(76,77),(77,46),(77,73),(77,79),(78,38),(78,64),(78,65),(79,39),(79,40),(79,66),(80,41),(80,62),(80,78),(81,93),(81,107),(82,28),(82,87),(82,94),(83,27),(83,88),(84,26),(84,93),(85,92),(86,92),(87,90),(87,95),(88,89),(88,97),(89,29),(89,102),(90,37),(90,109),(91,30),(91,109),(93,94),(93,98),(94,91),(94,95),(95,109),(96,52),(96,88),(96,101),(97,61),(97,102),(98,45),(98,91),(99,44),(99,70),(99,105),(100,53),(100,71),(100,106),(101,43),(101,74),(101,89),(102,42),(102,108),(103,50),(103,81),(103,104),(104,49),(104,82),(104,93),(105,59),(105,84),(105,104),(106,48),(106,83),(106,96),(107,60),(107,98),(108,57),(108,63),(108,109),(109,85),(109,86)],110)
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[[4,4,4,5],[5]]=>([(0,2),(0,3),(1,8),(1,18),(2,10),(2,11),(3,1),(4,72),(5,71),(6,31),(7,73),(8,9),(8,77),(9,69),(10,5),(10,74),(11,17),(11,74),(12,39),(12,65),(13,36),(13,76),(14,38),(14,75),(15,62),(15,63),(16,37),(16,64),(17,19),(17,78),(17,82),(18,77),(18,78),(19,20),(19,70),(19,80),(20,49),(20,67),(21,53),(21,55),(21,56),(22,35),(22,52),(22,54),(23,6),(23,94),(24,85),(25,86),(26,83),(26,86),(27,96),(28,91),(29,92),(29,93),(30,97),(30,110),(32,87),(33,13),(33,103),(34,12),(34,92),(34,110),(35,15),(35,99),(35,109),(36,89),(37,7),(37,102),(38,4),(38,101),(39,88),(40,24),(40,108),(41,25),(41,107),(42,26),(42,105),(42,107),(43,40),(43,102),(44,59),(45,34),(45,104),(46,58),(46,106),(47,32),(48,41),(48,101),(49,68),(50,28),(50,103),(51,29),(51,100),(52,51),(52,109),(53,46),(53,105),(54,45),(54,99),(55,33),(55,98),(56,22),(56,57),(56,98),(56,105),(57,35),(57,83),(57,90),(58,36),(58,84),(59,23),(59,87),(60,57),(60,85),(61,27),(61,84),(62,47),(63,44),(64,21),(64,66),(64,102),(65,23),(65,88),(66,56),(66,60),(66,108),(67,24),(67,60),(68,25),(68,26),(69,38),(69,48),(70,49),(70,81),(71,37),(71,43),(72,58),(72,61),(73,33),(73,50),(74,16),(74,71),(74,82),(75,42),(75,53),(75,101),(76,30),(76,34),(76,89),(77,14),(77,69),(77,79),(78,70),(78,79),(79,48),(79,75),(79,81),(80,40),(80,66),(80,67),(81,41),(81,42),(81,68),(82,43),(82,64),(82,80),(83,95),(83,109),(84,29),(84,89),(84,96),(85,28),(85,90),(86,27),(86,95),(87,94),(88,94),(89,92),(89,97),(90,91),(90,99),(91,30),(91,104),(92,39),(92,111),(93,32),(93,111),(94,31),(95,96),(95,100),(96,93),(96,97),(97,111),(98,54),(98,90),(98,103),(99,63),(99,104),(100,47),(100,93),(101,46),(101,72),(101,107),(102,55),(102,73),(102,108),(103,45),(103,76),(103,91),(104,44),(104,110),(105,52),(105,83),(105,106),(106,51),(106,84),(106,95),(107,61),(107,86),(107,106),(108,50),(108,85),(108,98),(109,62),(109,100),(110,59),(110,65),(110,111),(111,87),(111,88)],112)
[[4,4,5,5],[5]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,13),(3,98),(4,102),(5,99),(6,81),(7,100),(8,101),(9,65),(10,5),(10,105),(11,21),(11,106),(12,18),(12,105),(13,17),(13,20),(13,65),(14,86),(14,88),(15,53),(15,90),(16,56),(16,111),(17,113),(17,114),(18,26),(18,113),(18,119),(19,87),(19,108),(20,27),(20,107),(20,114),(21,89),(21,109),(22,85),(22,112),(23,55),(23,110),(24,54),(24,91),(25,96),(25,97),(26,25),(26,115),(26,117),(27,72),(27,95),(28,77),(28,79),(28,80),(29,52),(29,78),(29,104),(30,153),(31,144),(32,128),(33,6),(33,157),(34,3),(34,156),(35,134),(35,145),(36,134),(36,154),(37,122),(37,138),(38,122),(38,137),(39,136),(39,149),(40,124),(42,143),(43,120),(44,155),(45,142),(45,165),(46,133),(47,131),(48,135),(48,161),(49,132),(50,16),(50,158),(51,14),(51,161),(51,165),(52,22),(52,139),(52,159),(53,4),(53,146),(54,7),(54,149),(55,8),(55,148),(56,129),(57,51),(57,160),(58,49),(59,76),(59,162),(60,56),(60,127),(61,47),(61,158),(62,46),(62,156),(63,37),(63,125),(63,151),(64,40),(64,155),(65,11),(65,107),(66,67),(67,33),(67,124),(68,75),(68,146),(69,60),(69,150),(70,48),(70,154),(70,164),(71,42),(71,127),(72,94),(73,84),(73,128),(74,82),(74,148),(75,32),(75,152),(76,31),(76,120),(77,69),(77,125),(78,57),(78,159),(79,50),(79,147),(80,29),(80,84),(80,125),(80,147),(81,41),(82,38),(82,136),(82,151),(83,35),(83,130),(84,52),(84,138),(84,140),(85,66),(86,33),(86,123),(87,34),(87,121),(88,31),(88,123),(89,30),(89,126),(90,28),(90,92),(90,146),(91,19),(91,103),(91,149),(92,73),(92,80),(92,152),(93,37),(93,38),(93,153),(94,39),(94,54),(95,55),(95,74),(96,32),(96,73),(97,30),(97,93),(98,43),(98,76),(99,53),(99,68),(100,34),(100,62),(101,60),(101,71),(102,50),(102,61),(103,83),(103,108),(103,163),(104,36),(104,70),(104,139),(105,15),(105,99),(105,119),(106,24),(106,94),(106,109),(107,72),(107,106),(108,35),(108,36),(108,121),(109,39),(109,91),(109,126),(110,63),(110,77),(110,148),(111,45),(111,51),(111,129),(112,44),(112,64),(113,115),(113,116),(114,23),(114,95),(114,116),(115,89),(115,97),(115,118),(116,74),(116,110),(116,118),(117,75),(117,92),(117,96),(118,63),(118,82),(118,93),(118,126),(119,68),(119,90),(119,117),(120,49),(120,144),(121,145),(121,154),(121,156),(122,42),(122,141),(123,144),(123,157),(124,157),(125,104),(125,138),(125,150),(126,103),(126,136),(126,153),(127,48),(127,129),(127,143),(128,47),(128,140),(129,142),(129,161),(130,46),(130,145),(131,45),(131,160),(132,41),(133,43),(133,162),(134,44),(134,166),(135,40),(135,167),(136,137),(136,163),(137,130),(138,139),(138,141),(139,112),(139,134),(139,164),(140,131),(140,159),(141,143),(141,164),(142,167),(143,135),(143,142),(144,132),(145,133),(145,166),(146,79),(146,102),(146,152),(147,78),(147,140),(147,158),(148,69),(148,101),(148,151),(149,87),(149,100),(149,163),(150,70),(150,127),(150,141),(151,71),(151,122),(151,150),(152,61),(152,128),(152,147),(153,83),(153,137),(154,59),(154,166),(155,58),(156,59),(156,98),(156,133),(157,81),(157,132),(158,57),(158,111),(158,131),(159,85),(159,160),(160,66),(160,165),(161,88),(161,167),(162,58),(162,120),(163,62),(163,121),(163,130),(164,64),(164,135),(164,166),(165,67),(165,86),(165,167),(166,155),(166,162),(167,123),(167,124)],168)
[[4,5,5,5],[5]]=>([(0,1),(0,2),(1,12),(1,14),(2,11),(2,15),(3,131),(4,98),(5,133),(6,134),(7,135),(8,130),(9,97),(10,132),(11,10),(11,140),(12,3),(12,139),(13,21),(13,150),(14,28),(14,139),(15,22),(15,23),(15,140),(16,119),(16,120),(17,118),(17,146),(18,114),(18,147),(19,69),(19,143),(20,68),(20,117),(21,70),(21,145),(22,32),(22,149),(22,155),(23,148),(23,149),(24,115),(24,141),(25,112),(25,116),(26,113),(26,121),(27,66),(27,142),(28,30),(28,148),(28,156),(29,31),(29,67),(29,144),(30,33),(30,152),(30,153),(31,104),(31,136),(32,126),(32,129),(33,122),(33,123),(34,96),(34,108),(34,109),(35,65),(35,94),(35,111),(36,64),(36,95),(36,138),(37,203),(38,181),(40,188),(41,205),(41,214),(42,189),(42,205),(43,180),(43,202),(44,9),(44,218),(45,8),(45,213),(46,4),(46,219),(47,6),(47,192),(48,160),(48,184),(49,168),(50,169),(50,173),(51,169),(51,172),(52,185),(53,178),(54,182),(54,220),(55,219),(56,198),(57,171),(57,197),(58,164),(59,159),(60,162),(60,170),(61,162),(61,192),(62,27),(62,199),(63,16),(63,197),(63,220),(64,18),(64,175),(64,195),(65,24),(65,194),(65,202),(66,177),(67,13),(67,201),(68,7),(68,196),(69,5),(69,191),(70,165),(71,49),(71,210),(72,107),(72,211),(73,57),(73,204),(73,214),(74,50),(74,180),(74,208),(75,64),(75,172),(75,179),(76,58),(76,206),(77,53),(77,199),(78,60),(78,213),(79,56),(79,190),(80,71),(80,196),(81,105),(82,63),(82,200),(83,103),(83,215),(84,46),(84,186),(85,89),(86,48),(86,209),(87,70),(87,216),(88,74),(88,191),(89,39),(90,38),(90,206),(91,42),(91,174),(91,212),(92,37),(92,201),(93,39),(94,110),(94,194),(95,82),(95,195),(96,62),(96,193),(97,93),(98,89),(99,51),(99,166),(99,208),(100,52),(100,157),(101,116),(101,161),(102,121),(102,160),(102,212),(103,66),(103,157),(104,87),(104,167),(105,44),(105,164),(106,75),(106,168),(107,40),(107,159),(108,83),(108,166),(109,36),(109,75),(109,166),(109,193),(110,26),(110,102),(110,209),(111,17),(111,137),(111,202),(112,84),(112,176),(113,47),(113,217),(114,81),(115,124),(116,38),(116,176),(117,34),(117,125),(117,196),(118,45),(118,158),(119,44),(119,163),(120,40),(120,163),(121,25),(121,101),(121,217),(122,49),(122,106),(123,87),(123,127),(124,47),(124,61),(125,106),(125,109),(125,210),(126,69),(126,88),(127,50),(127,51),(127,216),(128,43),(128,65),(128,203),(129,37),(129,128),(130,59),(130,107),(131,68),(131,80),(132,67),(132,92),(133,100),(133,103),(134,46),(134,55),(135,62),(135,77),(136,43),(136,111),(136,167),(137,91),(137,146),(137,207),(138,41),(138,73),(138,175),(139,20),(139,131),(139,156),(140,29),(140,132),(140,155),(141,45),(141,78),(142,54),(142,63),(142,177),(143,99),(143,108),(143,191),(144,35),(144,128),(144,136),(144,201),(145,48),(145,102),(145,165),(146,41),(146,42),(146,158),(147,76),(147,90),(148,151),(148,152),(149,19),(149,126),(149,151),(150,86),(150,110),(150,145),(151,88),(151,143),(151,154),(152,104),(152,123),(152,154),(153,71),(153,122),(153,125),(154,74),(154,99),(154,127),(154,167),(155,92),(155,129),(155,144),(156,80),(156,117),(156,153),(157,57),(157,177),(157,185),(158,189),(158,213),(158,214),(159,56),(159,188),(160,61),(160,217),(160,223),(161,176),(161,187),(162,187),(163,188),(163,218),(164,218),(165,184),(165,212),(166,138),(166,172),(166,215),(167,137),(167,180),(167,216),(168,53),(168,179),(169,52),(169,183),(170,59),(170,211),(171,58),(171,222),(172,175),(172,183),(173,174),(173,184),(174,60),(174,189),(174,223),(175,147),(175,204),(175,205),(176,181),(176,186),(177,182),(177,197),(178,54),(178,200),(179,178),(179,195),(180,173),(180,207),(181,190),(182,222),(183,185),(183,204),(184,223),(185,171),(185,182),(186,190),(186,219),(187,55),(187,186),(188,198),(189,170),(189,221),(190,85),(191,83),(191,133),(191,208),(192,84),(192,134),(192,187),(193,95),(193,179),(193,199),(194,115),(194,209),(195,114),(195,200),(196,96),(196,135),(196,210),(197,120),(197,222),(198,93),(199,82),(199,142),(199,178),(200,81),(200,220),(201,94),(201,150),(201,203),(202,118),(202,141),(202,207),(203,86),(203,194),(204,76),(204,171),(204,221),(205,90),(205,221),(206,79),(206,181),(207,78),(207,158),(207,174),(208,100),(208,169),(208,215),(209,113),(209,124),(209,160),(210,77),(210,168),(210,193),(211,79),(211,159),(212,101),(212,223),(213,72),(213,130),(213,170),(214,72),(214,221),(215,73),(215,157),(215,183),(216,91),(216,165),(216,173),(217,112),(217,161),(217,192),(218,97),(218,198),(219,85),(219,98),(220,105),(220,119),(220,222),(221,206),(221,211),(222,163),(222,164),(223,161),(223,162)],224)
[[1,1,1],[2,5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1],[3,5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1],[4,5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1],[5,5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,2],[2,5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,5],[2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2],[3,5]]=>([(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
[[1,1,3],[2,5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,5],[2,3]]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[[1,1,2],[4,5]]=>([(0,1),(1,2),(1,3),(1,6),(2,4),(2,13),(3,10),(4,11),(5,8),(5,9),(6,10),(6,13),(7,14),(8,14),(9,14),(10,12),(11,7),(11,9),(12,7),(12,8),(13,5),(13,11),(13,12)],15)
[[1,1,4],[2,5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,5],[2,4]]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
[[1,1,2],[5,5]]=>([(0,1),(1,3),(1,4),(1,7),(2,11),(3,5),(3,15),(4,12),(5,13),(6,9),(6,10),(7,12),(7,15),(8,16),(9,16),(10,2),(10,16),(12,14),(13,8),(13,10),(14,8),(14,9),(15,6),(15,13),(15,14),(16,11)],17)
[[1,1,5],[2,5]]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
[[1,1,3],[3,5]]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
[[1,1,5],[3,3]]=>([(0,5),(1,9),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8),(7,9),(8,10),(9,10)],11)
[[1,1,3],[4,5]]=>([(0,2),(1,3),(2,6),(2,7),(2,8),(3,13),(4,17),(5,11),(5,14),(6,15),(6,18),(7,12),(7,15),(8,4),(8,12),(8,18),(9,19),(11,19),(12,1),(13,10),(14,13),(14,19),(15,16),(16,9),(16,14),(17,9),(17,11),(18,5),(18,16),(18,17),(19,10)],20)
[[1,1,4],[3,5]]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
[[1,1,5],[3,4]]=>([(0,6),(1,10),(1,11),(2,9),(3,8),(4,3),(4,13),(5,2),(5,13),(6,7),(7,4),(7,5),(8,10),(8,12),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,8),(13,9)],15)
[[1,1,3],[5,5]]=>([(0,2),(1,4),(2,7),(2,8),(2,9),(3,16),(4,14),(5,20),(6,12),(6,17),(7,18),(7,21),(8,13),(8,18),(9,5),(9,13),(9,21),(11,22),(12,3),(12,22),(13,1),(14,15),(15,10),(16,10),(17,14),(17,22),(18,19),(19,11),(19,17),(20,11),(20,12),(21,6),(21,19),(21,20),(22,15),(22,16)],23)
[[1,1,5],[3,5]]=>([(0,7),(1,12),(1,15),(2,11),(3,9),(4,10),(5,3),(5,14),(6,4),(6,14),(7,8),(8,5),(8,6),(9,13),(9,15),(10,12),(10,13),(12,16),(13,16),(14,1),(14,9),(14,10),(15,2),(15,16),(16,11)],17)
[[1,1,4],[4,5]]=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
[[1,1,5],[4,4]]=>([(0,7),(1,12),(1,15),(2,11),(3,9),(4,10),(5,3),(5,14),(6,4),(6,14),(7,8),(8,5),(8,6),(9,13),(9,15),(10,12),(10,13),(12,16),(13,16),(14,1),(14,9),(14,10),(15,2),(15,16),(16,11)],17)
[[1,1,4],[5,5]]=>([(0,1),(1,8),(1,9),(1,10),(2,13),(3,20),(4,12),(5,6),(5,18),(6,21),(6,22),(7,15),(7,23),(8,25),(8,28),(9,24),(9,25),(10,11),(10,24),(10,28),(11,16),(11,27),(13,4),(14,29),(15,3),(15,29),(16,18),(17,12),(18,2),(18,21),(19,17),(20,17),(21,13),(22,19),(23,22),(23,29),(24,5),(24,16),(25,26),(26,14),(26,23),(27,14),(27,15),(28,7),(28,26),(28,27),(29,19),(29,20)],30)
[[1,1,5],[4,5]]=>([(0,8),(1,17),(1,18),(2,13),(3,12),(4,10),(5,11),(6,4),(6,16),(7,5),(7,16),(8,9),(9,6),(9,7),(10,15),(10,17),(11,15),(11,18),(12,14),(13,14),(15,19),(16,1),(16,10),(16,11),(17,3),(17,19),(18,2),(18,19),(19,12),(19,13)],20)
[[1,1,5],[5,5]]=>([(0,9),(2,17),(2,18),(3,14),(4,13),(5,11),(6,12),(7,5),(7,16),(8,6),(8,16),(9,10),(10,7),(10,8),(11,15),(11,17),(12,15),(12,18),(13,19),(14,19),(15,20),(16,2),(16,11),(16,12),(17,4),(17,20),(18,3),(18,20),(19,1),(20,13),(20,14)],21)
[[1,2,2],[2,5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,2],[3,5]]=>([(0,1),(1,3),(1,4),(1,6),(2,10),(3,11),(4,5),(4,13),(5,8),(6,11),(6,13),(8,9),(9,7),(10,7),(11,2),(11,12),(12,9),(12,10),(13,8),(13,12)],14)
[[1,2,3],[2,5]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,2,5],[2,3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,2,2],[4,5]]=>([(0,1),(1,3),(1,4),(1,7),(2,15),(3,13),(4,5),(4,16),(5,14),(6,10),(6,12),(7,13),(7,16),(8,19),(9,19),(10,18),(11,9),(11,18),(12,8),(12,18),(13,2),(13,17),(14,10),(14,11),(15,8),(15,9),(16,6),(16,14),(16,17),(17,11),(17,12),(17,15),(18,19)],20)
[[1,2,4],[2,5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,5],[2,4]]=>([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18)
[[1,2,2],[5,5]]=>([(0,1),(1,4),(1,5),(1,8),(2,15),(3,18),(4,16),(5,6),(5,19),(6,17),(7,12),(7,14),(8,16),(8,19),(10,22),(11,22),(12,2),(12,21),(13,11),(13,21),(14,10),(14,21),(15,9),(16,3),(16,20),(17,12),(17,13),(18,10),(18,11),(19,7),(19,17),(19,20),(20,13),(20,14),(20,18),(21,15),(21,22),(22,9)],23)
[[1,2,5],[2,5]]=>([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20)
[[1,2,3],[3,5]]=>([(0,1),(1,5),(1,6),(1,7),(2,19),(3,4),(3,15),(4,10),(4,11),(5,17),(5,20),(6,16),(6,17),(7,8),(7,16),(7,20),(8,12),(8,13),(9,21),(10,21),(11,21),(12,14),(13,15),(14,9),(15,10),(16,3),(16,13),(17,2),(17,18),(18,14),(18,19),(19,9),(19,11),(20,12),(20,18)],22)
[[1,2,5],[3,3]]=>([(0,7),(0,8),(1,10),(2,13),(3,12),(3,14),(4,2),(4,11),(5,3),(5,10),(5,11),(6,1),(7,6),(8,9),(9,4),(9,5),(10,14),(10,15),(11,12),(11,13),(11,15),(12,16),(12,19),(13,16),(13,17),(14,19),(15,17),(15,19),(16,18),(17,18),(19,18)],20)
[[1,3,3],[2,5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,3],[4,5]]=>([(0,2),(1,9),(2,6),(2,7),(2,8),(3,23),(4,19),(5,13),(5,20),(6,18),(6,21),(7,15),(7,18),(8,4),(8,15),(8,21),(9,14),(9,17),(10,26),(11,25),(12,24),(12,25),(13,27),(14,24),(15,1),(16,11),(16,27),(17,10),(17,24),(18,3),(18,22),(19,13),(19,16),(20,12),(20,17),(20,27),(21,5),(21,19),(21,22),(22,16),(22,20),(22,23),(23,11),(23,12),(23,14),(24,26),(25,26),(27,10),(27,25)],28)
[[1,2,4],[3,5]]=>([(0,1),(1,6),(1,7),(1,8),(2,22),(3,17),(4,5),(4,16),(5,12),(5,18),(6,20),(6,23),(7,19),(7,20),(8,9),(8,19),(8,23),(9,13),(9,14),(10,24),(12,24),(13,15),(14,16),(15,10),(16,3),(16,18),(17,11),(18,17),(18,24),(19,4),(19,14),(20,2),(20,21),(21,15),(21,22),(22,10),(22,12),(23,13),(23,21),(24,11)],25)
[[1,2,5],[3,4]]=>([(0,3),(0,4),(1,6),(2,7),(2,10),(3,1),(4,2),(5,20),(6,19),(7,5),(7,21),(8,14),(8,17),(9,12),(9,18),(10,9),(10,19),(10,21),(11,24),(12,25),(13,23),(14,22),(15,22),(15,23),(16,13),(16,25),(17,11),(17,22),(18,15),(18,17),(18,25),(19,12),(19,16),(20,13),(20,14),(20,15),(21,8),(21,16),(21,18),(21,20),(22,24),(23,24),(25,11),(25,23)],26)
[[1,3,4],[2,5]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,3,5],[2,4]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[1,2,3],[5,5]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,23),(4,27),(5,22),(6,16),(6,24),(7,21),(7,25),(8,17),(8,21),(9,5),(9,17),(9,25),(10,15),(10,20),(11,30),(12,30),(13,32),(14,28),(14,32),(15,28),(16,3),(16,29),(17,1),(18,13),(18,29),(19,11),(19,31),(20,19),(20,28),(21,4),(21,26),(22,16),(22,18),(23,11),(23,12),(24,14),(24,20),(24,29),(25,6),(25,22),(25,26),(26,18),(26,24),(26,27),(27,13),(27,14),(27,15),(28,31),(29,19),(29,23),(29,32),(31,30),(32,12),(32,31)],33)
[[1,2,5],[3,5]]=>([(0,3),(0,4),(1,8),(1,11),(2,7),(3,1),(4,2),(5,24),(6,20),(7,21),(8,5),(8,23),(9,14),(9,22),(10,16),(10,19),(11,9),(11,21),(11,23),(13,28),(14,27),(15,26),(16,6),(16,25),(17,25),(17,26),(18,15),(18,27),(19,13),(19,25),(20,12),(21,14),(21,18),(22,17),(22,19),(22,27),(23,10),(23,18),(23,22),(23,24),(24,15),(24,16),(24,17),(25,20),(25,28),(26,28),(27,13),(27,26),(28,12)],29)
[[1,3,5],[2,5]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29)
[[1,2,4],[4,5]]=>([(0,1),(1,7),(1,8),(1,9),(2,24),(3,18),(4,11),(5,6),(5,17),(6,13),(6,20),(7,22),(7,25),(8,21),(8,22),(9,10),(9,21),(9,25),(10,14),(10,15),(12,26),(13,26),(14,16),(15,17),(16,12),(17,3),(17,20),(18,4),(18,19),(19,11),(20,18),(20,26),(21,5),(21,15),(22,2),(22,23),(23,16),(23,24),(24,12),(24,13),(25,14),(25,23),(26,19)],27)
[[1,2,5],[4,4]]=>([(0,3),(0,4),(1,6),(2,7),(2,11),(3,1),(4,2),(5,23),(6,22),(7,5),(7,24),(8,16),(8,17),(9,13),(9,19),(10,12),(10,21),(11,10),(11,22),(11,24),(12,25),(13,29),(14,27),(14,29),(15,27),(16,26),(17,26),(18,15),(18,25),(19,8),(19,20),(19,29),(20,16),(20,28),(21,14),(21,19),(21,25),(22,12),(22,18),(23,13),(23,14),(23,15),(24,9),(24,18),(24,21),(24,23),(25,20),(25,27),(27,28),(28,26),(29,17),(29,28)],30)
[[1,4,4],[2,5]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,2,4],[5,5]]=>([(0,1),(1,8),(1,9),(1,10),(2,36),(3,32),(4,28),(5,12),(5,26),(6,19),(6,33),(7,17),(7,18),(8,30),(8,34),(9,29),(9,30),(10,11),(10,29),(10,34),(11,22),(11,31),(12,14),(12,25),(12,27),(13,38),(13,42),(14,37),(14,42),(15,37),(15,38),(16,39),(17,40),(18,40),(19,3),(19,43),(20,21),(20,41),(21,17),(21,39),(22,26),(23,18),(24,13),(24,43),(25,28),(25,42),(26,4),(26,25),(27,20),(27,37),(28,7),(28,23),(29,5),(29,22),(30,2),(30,35),(31,19),(31,24),(32,16),(32,21),(33,15),(33,27),(33,43),(34,6),(34,31),(34,35),(35,24),(35,33),(35,36),(36,13),(36,14),(36,15),(37,41),(38,16),(38,41),(39,40),(41,39),(42,23),(43,20),(43,32),(43,38)],44)
[[1,2,5],[4,5]]=>([(0,3),(0,4),(1,8),(1,12),(2,7),(3,1),(4,2),(5,28),(6,26),(7,24),(8,5),(8,27),(9,17),(9,23),(10,18),(10,25),(11,19),(11,21),(12,10),(12,24),(12,27),(13,32),(14,32),(15,33),(16,29),(16,33),(17,30),(18,31),(19,6),(19,29),(20,15),(20,31),(21,9),(21,22),(21,29),(22,17),(22,34),(23,13),(23,30),(24,18),(24,20),(25,16),(25,21),(25,31),(26,13),(26,14),(27,11),(27,20),(27,25),(27,28),(28,15),(28,16),(28,19),(29,23),(29,26),(29,34),(30,32),(31,22),(31,33),(33,34),(34,14),(34,30)],35)
[[1,4,5],[2,5]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1,2,5],[5,5]]=>([(0,3),(0,4),(1,8),(2,7),(2,13),(3,1),(4,2),(5,28),(6,21),(7,9),(7,30),(8,27),(9,29),(10,17),(10,25),(11,20),(11,23),(12,18),(12,26),(13,12),(13,27),(13,30),(14,35),(15,34),(16,31),(16,34),(17,32),(18,33),(19,6),(19,35),(20,5),(20,31),(22,15),(22,33),(23,10),(23,24),(23,31),(24,17),(24,36),(25,19),(25,32),(26,16),(26,23),(26,33),(27,18),(27,22),(28,14),(28,19),(29,15),(29,16),(29,20),(30,11),(30,22),(30,26),(30,29),(31,25),(31,28),(31,36),(32,35),(33,24),(33,34),(34,36),(35,21),(36,14),(36,32)],37)
[[1,3,3],[3,5]]=>([(0,8),(1,12),(2,13),(2,14),(3,9),(4,10),(5,3),(5,16),(6,4),(6,16),(7,1),(7,11),(8,5),(8,6),(9,14),(9,15),(10,13),(10,15),(11,12),(13,17),(14,7),(14,17),(15,17),(16,2),(16,9),(16,10),(17,11)],18)
[[1,3,3],[4,5]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,25),(4,11),(5,21),(6,15),(6,22),(7,20),(7,23),(8,17),(8,20),(9,5),(9,17),(9,23),(10,16),(10,19),(12,29),(13,27),(14,26),(14,27),(15,28),(16,26),(17,1),(18,13),(18,28),(19,12),(19,26),(20,3),(20,24),(21,15),(21,18),(22,14),(22,19),(22,28),(23,6),(23,21),(23,24),(24,18),(24,22),(24,25),(25,13),(25,14),(25,16),(26,4),(26,29),(27,29),(28,12),(28,27),(29,11)],30)
[[1,3,4],[3,5]]=>([(0,1),(1,4),(1,5),(2,8),(2,19),(3,16),(4,6),(4,20),(5,7),(5,20),(6,17),(7,18),(8,14),(9,12),(9,13),(11,21),(12,2),(12,21),(13,3),(13,21),(14,10),(15,10),(16,15),(17,11),(17,12),(18,11),(18,13),(19,14),(19,15),(20,9),(20,17),(20,18),(21,16),(21,19)],22)
[[1,3,5],[3,4]]=>([(0,2),(0,3),(1,8),(1,12),(2,1),(3,4),(3,6),(4,23),(5,17),(6,13),(6,23),(7,9),(7,26),(8,10),(8,27),(9,19),(10,24),(11,16),(11,21),(12,20),(12,27),(13,18),(13,20),(15,28),(16,28),(17,7),(18,17),(19,14),(20,25),(21,26),(21,28),(22,14),(23,5),(23,18),(24,15),(24,16),(25,15),(25,21),(26,19),(26,22),(27,11),(27,24),(27,25),(28,22)],29)
[[1,3,3],[5,5]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,26),(4,30),(5,21),(6,25),(7,18),(7,27),(8,24),(8,28),(9,19),(9,24),(10,6),(10,19),(10,28),(11,17),(11,23),(12,35),(13,34),(14,34),(16,31),(16,35),(17,31),(18,3),(18,32),(19,1),(20,12),(20,32),(21,15),(22,14),(22,33),(23,22),(23,31),(24,4),(24,29),(25,18),(25,20),(26,13),(26,14),(27,16),(27,23),(27,32),(28,7),(28,25),(28,29),(29,20),(29,27),(29,30),(30,12),(30,16),(30,17),(31,5),(31,33),(32,22),(32,26),(32,35),(33,21),(33,34),(34,15),(35,13),(35,33)],36)
[[1,3,5],[3,5]]=>([(0,2),(0,3),(1,9),(1,13),(2,1),(3,4),(3,7),(4,26),(5,25),(6,18),(7,14),(7,26),(8,10),(8,30),(9,11),(9,31),(10,20),(11,28),(12,17),(12,24),(13,23),(13,31),(14,19),(14,23),(16,32),(17,5),(17,32),(18,8),(19,18),(20,21),(21,15),(22,15),(23,27),(24,30),(24,32),(25,22),(26,6),(26,19),(27,16),(27,24),(28,16),(28,17),(29,21),(29,22),(30,20),(30,29),(31,12),(31,27),(31,28),(32,25),(32,29)],33)
[[1,3,4],[4,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,27),(3,28),(4,34),(5,26),(6,12),(6,29),(7,17),(7,32),(8,19),(8,30),(9,25),(9,31),(10,24),(10,25),(11,8),(11,24),(11,31),(12,16),(12,21),(12,22),(13,36),(13,39),(14,36),(14,37),(16,37),(16,39),(17,35),(18,38),(19,29),(20,26),(21,18),(21,37),(22,28),(22,39),(23,13),(23,35),(24,6),(24,19),(25,4),(25,33),(26,15),(27,15),(28,5),(28,20),(29,3),(29,22),(30,17),(30,23),(31,7),(31,30),(31,33),(32,14),(32,21),(32,35),(33,23),(33,32),(33,34),(34,13),(34,14),(34,16),(35,18),(35,36),(36,38),(37,2),(37,38),(38,27),(39,20)],40)
[[1,3,5],[4,4]]=>([(0,2),(0,3),(1,8),(1,12),(2,1),(3,4),(3,7),(4,30),(5,23),(6,10),(6,35),(7,14),(7,30),(8,9),(8,37),(9,36),(10,33),(11,22),(11,27),(12,13),(12,34),(12,37),(13,16),(13,32),(14,24),(14,34),(15,17),(15,25),(15,26),(16,39),(17,38),(17,44),(18,40),(19,40),(20,38),(20,41),(21,41),(21,44),(22,42),(23,6),(24,23),(25,35),(25,38),(26,11),(26,29),(26,44),(27,18),(27,42),(28,19),(29,27),(29,43),(30,5),(30,24),(31,20),(31,25),(31,39),(32,21),(32,26),(32,39),(33,18),(33,19),(34,16),(34,31),(35,28),(35,33),(36,17),(36,20),(36,21),(37,15),(37,31),(37,32),(37,36),(38,28),(39,29),(39,41),(41,43),(42,40),(43,42),(44,22),(44,43)],45)
[[1,4,4],[3,5]]=>([(0,1),(1,5),(1,6),(2,9),(2,21),(3,18),(4,14),(5,7),(5,22),(6,8),(6,22),(7,19),(8,20),(9,15),(10,12),(10,13),(11,23),(12,2),(12,23),(13,3),(13,23),(15,16),(16,14),(17,4),(17,16),(18,17),(19,11),(19,12),(20,11),(20,13),(21,15),(21,17),(22,10),(22,19),(22,20),(23,18),(23,21)],24)
[[1,3,4],[5,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,40),(3,30),(4,35),(5,13),(5,28),(6,36),(7,21),(7,31),(8,20),(8,37),(9,33),(9,38),(10,32),(10,33),(11,12),(11,32),(11,38),(12,23),(12,34),(13,16),(13,26),(13,27),(14,42),(14,48),(15,41),(15,42),(16,41),(16,48),(17,43),(18,44),(19,43),(20,4),(20,47),(21,45),(22,31),(23,28),(24,29),(24,46),(25,14),(25,47),(26,30),(26,48),(27,24),(27,41),(28,3),(28,26),(29,21),(29,44),(30,7),(30,22),(31,17),(31,45),(32,5),(32,23),(33,2),(33,39),(34,20),(34,25),(35,18),(35,29),(36,17),(36,19),(37,15),(37,27),(37,47),(38,8),(38,34),(38,39),(39,25),(39,37),(39,40),(40,14),(40,15),(40,16),(41,6),(41,46),(42,18),(42,46),(44,19),(44,45),(45,43),(46,36),(46,44),(47,24),(47,35),(47,42),(48,22)],49)
[[1,3,5],[4,5]]=>([(0,2),(0,3),(1,9),(1,13),(2,1),(3,5),(3,8),(4,40),(5,34),(6,26),(7,11),(7,39),(8,15),(8,34),(9,10),(9,42),(10,41),(11,35),(12,30),(12,33),(13,14),(13,36),(13,42),(14,22),(14,37),(15,27),(15,36),(16,25),(16,28),(16,29),(17,48),(18,48),(20,49),(21,49),(22,43),(23,46),(23,47),(24,44),(24,47),(25,4),(25,44),(25,46),(26,7),(27,26),(28,39),(28,46),(29,12),(29,31),(29,44),(30,21),(30,45),(31,30),(31,50),(32,20),(33,18),(33,45),(34,6),(34,27),(35,20),(35,21),(36,22),(36,38),(37,24),(37,29),(37,43),(38,23),(38,28),(38,43),(39,32),(39,35),(40,17),(40,18),(41,23),(41,24),(41,25),(42,16),(42,37),(42,38),(42,41),(43,31),(43,47),(44,33),(44,40),(44,50),(45,48),(45,49),(46,32),(47,50),(48,19),(49,19),(50,17),(50,45)],51)
[[1,4,5],[3,5]]=>([(0,2),(0,3),(1,8),(1,14),(2,1),(3,6),(3,7),(4,33),(5,34),(6,17),(6,44),(7,9),(7,44),(8,10),(8,43),(9,37),(10,38),(11,16),(11,40),(11,42),(12,23),(12,25),(13,24),(13,32),(14,31),(14,43),(15,19),(15,20),(16,26),(16,27),(17,31),(17,36),(18,45),(19,45),(20,45),(21,47),(22,46),(23,11),(23,46),(24,4),(24,47),(25,5),(25,46),(26,29),(27,28),(28,18),(29,20),(30,15),(30,29),(31,35),(32,40),(32,47),(33,39),(34,30),(35,21),(35,32),(36,22),(36,23),(37,22),(37,25),(38,21),(38,24),(39,18),(39,19),(40,27),(40,41),(41,28),(41,39),(42,26),(42,30),(43,13),(43,35),(43,38),(44,12),(44,36),(44,37),(46,34),(46,42),(47,33),(47,41)],48)
[[1,3,5],[5,5]]=>([(0,2),(0,3),(1,10),(1,14),(2,1),(3,5),(3,9),(4,43),(5,37),(6,36),(7,27),(8,12),(8,42),(9,16),(9,37),(10,11),(10,45),(11,44),(12,38),(13,31),(13,34),(14,15),(14,39),(14,45),(15,22),(15,40),(16,28),(16,39),(17,26),(17,29),(17,30),(19,51),(20,50),(21,50),(22,46),(23,49),(23,52),(24,47),(24,52),(25,6),(25,51),(26,4),(26,47),(26,49),(27,8),(28,27),(29,42),(29,49),(30,13),(30,33),(30,47),(31,20),(31,48),(32,21),(33,31),(33,53),(34,25),(34,48),(35,18),(36,18),(37,7),(37,28),(38,20),(38,21),(39,22),(39,41),(40,24),(40,30),(40,46),(41,23),(41,29),(41,46),(42,32),(42,38),(43,19),(43,25),(44,23),(44,24),(44,26),(45,17),(45,40),(45,41),(45,44),(46,33),(46,52),(47,34),(47,43),(47,53),(48,50),(48,51),(49,32),(50,35),(51,35),(51,36),(52,53),(53,19),(53,48)],54)
[[1,4,4],[4,5]]=>([(0,2),(2,6),(2,7),(3,10),(3,22),(4,19),(5,15),(6,8),(6,23),(7,9),(7,23),(8,20),(9,21),(10,16),(11,13),(11,14),(12,24),(13,3),(13,24),(14,4),(14,24),(15,1),(16,17),(17,15),(18,5),(18,17),(19,18),(20,12),(20,13),(21,12),(21,14),(22,16),(22,18),(23,11),(23,20),(23,21),(24,19),(24,22)],25)
[[1,4,4],[5,5]]=>([(0,2),(2,10),(2,11),(2,12),(3,41),(4,31),(5,36),(6,14),(6,29),(7,37),(8,22),(8,32),(9,21),(9,38),(10,34),(10,39),(11,33),(11,34),(12,13),(12,33),(12,39),(13,24),(13,35),(14,17),(14,27),(14,28),(15,43),(15,49),(16,42),(16,43),(17,42),(17,49),(18,44),(19,45),(20,44),(21,5),(21,48),(22,46),(23,32),(24,29),(25,30),(25,47),(26,15),(26,48),(27,31),(27,49),(28,25),(28,42),(29,4),(29,27),(30,22),(30,45),(31,8),(31,23),(32,18),(32,46),(33,6),(33,24),(34,3),(34,40),(35,21),(35,26),(36,19),(36,30),(37,18),(37,20),(38,16),(38,28),(38,48),(39,9),(39,35),(39,40),(40,26),(40,38),(40,41),(41,15),(41,16),(41,17),(42,7),(42,47),(43,19),(43,47),(44,1),(45,20),(45,46),(46,44),(47,37),(47,45),(48,25),(48,36),(48,43),(49,23)],50)
[[1,4,5],[4,5]]=>([(0,2),(0,3),(1,9),(1,16),(2,1),(3,7),(3,8),(4,35),(5,36),(6,27),(7,18),(7,46),(8,10),(8,46),(9,11),(9,45),(10,40),(11,41),(12,17),(12,42),(12,44),(13,20),(13,24),(14,23),(14,26),(15,25),(15,34),(16,33),(16,45),(17,28),(17,29),(18,33),(18,39),(19,47),(20,47),(21,49),(22,48),(23,12),(23,48),(24,6),(24,47),(25,4),(25,49),(26,5),(26,48),(28,30),(29,31),(30,24),(31,19),(32,13),(32,30),(33,38),(34,42),(34,49),(35,37),(36,32),(37,19),(37,20),(38,21),(38,34),(39,22),(39,23),(40,22),(40,26),(41,21),(41,25),(42,29),(42,43),(43,31),(43,37),(44,28),(44,32),(45,15),(45,38),(45,41),(46,14),(46,39),(46,40),(47,27),(48,36),(48,44),(49,35),(49,43)],50)
[[1,4,5],[5,5]]=>([(0,2),(0,3),(1,8),(1,18),(2,10),(2,11),(3,1),(4,39),(5,53),(6,45),(7,44),(8,9),(8,64),(9,63),(10,5),(10,57),(11,13),(11,57),(12,50),(12,60),(13,59),(13,62),(14,48),(14,49),(15,32),(15,33),(16,34),(16,35),(17,19),(17,58),(17,61),(18,20),(18,62),(18,64),(19,38),(19,52),(20,26),(20,54),(21,31),(21,41),(21,47),(23,74),(24,4),(24,74),(25,72),(26,68),(27,67),(27,70),(28,67),(28,73),(29,71),(30,69),(31,12),(31,70),(31,73),(32,71),(33,7),(33,71),(34,6),(34,72),(35,17),(35,72),(36,22),(37,33),(38,37),(39,36),(40,29),(40,69),(41,58),(41,70),(42,36),(43,48),(43,66),(44,22),(45,46),(46,15),(46,37),(47,14),(47,43),(47,73),(48,30),(48,65),(49,24),(49,65),(50,51),(51,29),(51,32),(52,30),(52,40),(53,25),(53,34),(54,28),(54,47),(54,68),(55,27),(55,41),(55,68),(56,40),(56,51),(57,16),(57,53),(57,59),(58,52),(58,56),(59,25),(59,35),(60,23),(60,24),(61,38),(61,46),(62,26),(62,55),(63,27),(63,28),(63,31),(64,21),(64,54),(64,55),(64,63),(65,69),(65,74),(66,23),(66,65),(67,66),(68,43),(68,67),(69,42),(70,50),(70,56),(71,44),(72,45),(72,61),(73,49),(73,60),(73,66),(74,39),(74,42)],75)
[[2,2,2],[3,5]]=>([(0,1),(1,3),(1,4),(1,7),(2,6),(2,15),(3,13),(4,5),(4,16),(5,10),(6,12),(7,13),(7,16),(9,11),(10,9),(11,8),(12,8),(13,2),(13,14),(14,9),(14,15),(15,11),(15,12),(16,10),(16,14)],17)
[[2,2,2],[4,5]]=>([(0,1),(1,3),(1,4),(1,8),(2,5),(2,21),(3,6),(3,19),(4,16),(5,18),(6,17),(7,9),(7,13),(8,16),(8,19),(9,22),(10,23),(11,23),(12,14),(12,22),(13,15),(13,22),(14,10),(14,24),(15,11),(15,24),(16,2),(16,20),(17,9),(17,12),(18,10),(18,11),(19,7),(19,17),(19,20),(20,12),(20,13),(20,21),(21,14),(21,15),(21,18),(22,24),(24,23)],25)
[[2,2,2],[5,5]]=>([(0,1),(1,4),(1,5),(1,9),(2,19),(3,6),(3,25),(4,20),(5,7),(5,23),(6,22),(7,21),(8,13),(8,17),(9,20),(9,23),(10,26),(11,26),(13,2),(13,27),(14,10),(14,28),(15,11),(15,28),(16,15),(16,27),(17,14),(17,27),(18,12),(19,18),(20,3),(20,24),(21,13),(21,16),(22,10),(22,11),(23,8),(23,21),(23,24),(24,16),(24,17),(24,25),(25,14),(25,15),(25,22),(26,12),(27,19),(27,28),(28,18),(28,26)],29)
[[2,2,3],[3,5]]=>([(0,1),(1,6),(1,7),(1,8),(2,3),(2,24),(3,22),(4,5),(4,13),(5,12),(5,18),(6,20),(6,23),(7,19),(7,20),(8,9),(8,19),(8,23),(9,14),(9,15),(10,26),(11,26),(12,25),(13,12),(14,16),(15,13),(16,17),(17,10),(17,25),(18,11),(18,25),(19,4),(19,15),(20,2),(20,21),(21,16),(21,24),(22,10),(22,11),(23,14),(23,21),(24,17),(24,18),(24,22),(25,26)],27)
[[2,2,5],[3,3]]=>([(0,10),(0,12),(1,13),(2,14),(3,19),(4,17),(5,16),(5,20),(6,2),(6,13),(7,4),(7,15),(8,5),(8,14),(8,15),(9,3),(10,11),(11,7),(11,8),(12,1),(12,6),(13,9),(14,20),(14,22),(15,16),(15,17),(15,22),(16,23),(16,26),(17,23),(17,24),(19,21),(20,19),(20,26),(21,18),(22,24),(22,26),(23,25),(24,25),(25,18),(26,21),(26,25)],27)
[[2,2,3],[4,5]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,4),(3,28),(4,26),(5,23),(6,15),(6,24),(7,22),(7,25),(8,16),(8,22),(9,5),(9,16),(9,25),(10,20),(10,21),(11,33),(12,31),(13,32),(14,31),(14,32),(15,35),(16,1),(17,18),(17,35),(18,13),(18,30),(19,14),(19,29),(19,30),(20,11),(20,29),(21,12),(21,29),(22,3),(22,27),(23,15),(23,17),(24,19),(24,20),(24,35),(25,6),(25,23),(25,27),(26,12),(26,13),(26,14),(27,17),(27,24),(27,28),(28,18),(28,19),(28,21),(28,26),(29,31),(29,33),(30,32),(30,33),(31,34),(32,34),(33,34),(35,11),(35,30)],36)
[[2,2,4],[3,5]]=>([(0,1),(1,7),(1,8),(1,9),(2,20),(3,4),(3,28),(4,26),(5,6),(5,19),(6,21),(6,22),(7,24),(7,27),(8,23),(8,24),(9,10),(9,23),(9,27),(10,14),(10,15),(11,29),(12,29),(14,17),(15,19),(16,13),(17,18),(18,12),(18,30),(19,2),(19,21),(20,16),(21,20),(21,30),(22,11),(22,30),(23,5),(23,15),(24,3),(24,25),(25,17),(25,28),(26,11),(26,12),(27,14),(27,25),(28,18),(28,22),(28,26),(29,13),(30,16),(30,29)],31)
[[2,2,5],[3,4]]=>([(0,3),(0,4),(1,7),(2,8),(2,13),(3,2),(4,5),(4,6),(5,19),(6,10),(6,19),(7,24),(8,9),(8,29),(9,28),(10,25),(11,22),(11,26),(12,18),(12,21),(13,11),(13,25),(13,29),(14,32),(15,32),(16,34),(17,30),(17,34),(18,30),(19,1),(20,16),(20,31),(21,23),(21,30),(22,24),(22,31),(23,14),(23,33),(24,27),(25,20),(25,22),(26,17),(26,21),(26,31),(27,14),(27,15),(28,16),(28,17),(28,18),(29,12),(29,20),(29,26),(29,28),(30,33),(31,23),(31,27),(31,34),(33,32),(34,15),(34,33)],35)
[[2,2,3],[5,5]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,28),(4,5),(4,33),(5,32),(6,27),(7,17),(7,29),(8,26),(8,30),(9,18),(9,26),(10,6),(10,18),(10,30),(11,24),(11,25),(12,34),(13,37),(14,36),(15,34),(15,37),(16,39),(17,3),(17,41),(18,1),(19,12),(19,42),(20,19),(20,41),(21,15),(21,35),(21,42),(22,16),(22,36),(23,14),(23,38),(24,23),(24,35),(25,13),(25,35),(26,4),(26,31),(27,17),(27,20),(28,14),(28,22),(29,21),(29,24),(29,41),(30,7),(30,27),(30,31),(31,20),(31,29),(31,33),(32,12),(32,13),(32,15),(33,19),(33,21),(33,25),(33,32),(34,16),(34,40),(35,37),(35,38),(36,39),(37,40),(38,36),(38,40),(40,39),(41,23),(41,28),(41,42),(42,22),(42,34),(42,38)],43)
[[2,2,5],[3,5]]=>([(0,3),(0,4),(1,8),(2,9),(2,14),(3,2),(4,6),(4,7),(5,28),(6,21),(7,11),(7,21),(8,27),(9,10),(9,33),(10,32),(11,29),(12,24),(12,30),(13,20),(13,23),(14,12),(14,29),(14,33),(15,37),(16,37),(18,38),(19,35),(19,38),(20,5),(20,35),(21,1),(22,18),(22,34),(23,26),(23,35),(24,27),(24,34),(25,17),(26,15),(26,36),(27,31),(28,25),(29,22),(29,24),(30,19),(30,23),(30,34),(31,15),(31,16),(32,18),(32,19),(32,20),(33,13),(33,22),(33,30),(33,32),(34,26),(34,31),(34,38),(35,28),(35,36),(36,25),(36,37),(37,17),(38,16),(38,36)],39)
[[2,2,4],[4,5]]=>([(0,1),(1,8),(1,9),(1,10),(2,24),(3,26),(4,11),(4,25),(5,6),(5,31),(6,28),(7,15),(7,16),(8,23),(8,29),(9,22),(9,23),(10,7),(10,22),(10,29),(11,19),(11,21),(13,33),(14,33),(15,17),(16,25),(17,20),(18,12),(19,26),(19,32),(20,14),(20,32),(21,13),(21,32),(22,4),(22,16),(23,5),(23,27),(24,12),(25,3),(25,19),(26,2),(26,30),(27,17),(27,31),(28,13),(28,14),(29,15),(29,27),(30,18),(30,24),(31,20),(31,21),(31,28),(32,30),(32,33),(33,18)],34)
[[2,2,5],[4,4]]=>([(0,3),(0,4),(1,7),(2,8),(2,14),(3,2),(4,5),(4,6),(5,21),(6,10),(6,21),(7,27),(8,9),(8,33),(9,32),(10,28),(11,26),(11,29),(12,20),(12,24),(13,19),(13,23),(14,11),(14,28),(14,33),(15,36),(16,40),(17,39),(17,40),(18,38),(19,37),(20,39),(21,1),(22,18),(22,36),(23,18),(23,37),(24,13),(24,31),(24,39),(25,16),(25,34),(26,27),(26,34),(27,30),(28,25),(28,26),(29,17),(29,24),(29,34),(30,15),(30,22),(31,22),(31,23),(31,35),(32,16),(32,17),(32,20),(33,12),(33,25),(33,29),(33,32),(34,30),(34,31),(34,40),(35,36),(35,37),(36,38),(37,38),(39,19),(39,35),(40,15),(40,35)],41)
[[2,2,4],[5,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,33),(3,38),(4,6),(4,44),(5,13),(5,29),(6,43),(7,20),(7,34),(8,19),(8,40),(9,36),(9,41),(10,35),(10,36),(11,12),(11,35),(11,41),(12,21),(12,37),(13,26),(13,27),(13,28),(14,46),(14,57),(15,53),(16,48),(16,57),(17,46),(17,48),(18,52),(19,3),(19,55),(20,49),(21,29),(22,17),(22,47),(22,56),(23,25),(23,55),(24,15),(25,14),(25,45),(25,56),(26,33),(26,45),(27,31),(27,47),(28,16),(28,45),(28,47),(29,2),(29,26),(30,20),(30,50),(31,30),(31,51),(32,18),(32,50),(33,7),(33,39),(34,15),(34,49),(35,5),(35,21),(36,4),(36,42),(37,19),(37,23),(38,30),(38,32),(39,24),(39,34),(40,22),(40,27),(40,55),(41,8),(41,37),(41,42),(42,23),(42,40),(42,44),(43,14),(43,16),(43,17),(44,22),(44,25),(44,28),(44,43),(45,39),(45,57),(46,18),(46,54),(47,48),(47,51),(48,54),(49,53),(50,49),(50,52),(51,50),(51,54),(52,53),(54,52),(55,31),(55,38),(55,56),(56,32),(56,46),(56,51),(57,24)],58)
[[2,2,5],[4,5]]=>([(0,3),(0,4),(1,8),(2,9),(2,15),(3,2),(4,6),(4,7),(5,36),(6,23),(7,11),(7,23),(8,31),(9,10),(9,38),(10,37),(11,32),(12,26),(12,33),(13,28),(13,30),(14,22),(14,27),(15,12),(15,32),(15,38),(16,45),(17,47),(18,40),(18,46),(19,46),(20,42),(21,41),(22,5),(22,40),(23,1),(24,21),(24,47),(25,19),(25,39),(26,31),(26,39),(27,13),(27,35),(27,40),(28,21),(28,44),(29,16),(29,42),(30,20),(30,44),(31,34),(32,25),(32,26),(33,18),(33,27),(33,39),(34,17),(34,24),(35,24),(35,28),(35,43),(36,20),(36,29),(37,18),(37,19),(37,22),(38,14),(38,25),(38,33),(38,37),(39,34),(39,35),(39,46),(40,30),(40,36),(40,43),(41,45),(42,45),(43,29),(43,44),(43,47),(44,41),(44,42),(46,17),(46,43),(47,16),(47,41)],48)
[[2,2,5],[5,5]]=>([(0,3),(0,4),(1,9),(2,10),(2,16),(3,2),(4,7),(4,8),(5,34),(6,39),(7,25),(8,12),(8,25),(9,33),(10,11),(10,41),(11,40),(12,35),(13,28),(13,36),(14,30),(14,32),(15,23),(15,29),(16,13),(16,35),(16,41),(18,50),(19,49),(20,43),(20,48),(21,48),(22,44),(23,6),(23,43),(24,5),(24,45),(25,1),(26,22),(26,49),(27,21),(27,42),(28,33),(28,42),(29,14),(29,38),(29,43),(30,22),(30,47),(31,18),(31,45),(32,24),(32,47),(33,37),(34,17),(35,27),(35,28),(36,20),(36,29),(36,42),(37,19),(37,26),(38,26),(38,30),(38,46),(39,24),(39,31),(40,20),(40,21),(40,23),(41,15),(41,27),(41,36),(41,40),(42,37),(42,38),(42,48),(43,32),(43,39),(43,46),(44,50),(45,34),(45,50),(46,31),(46,47),(46,49),(47,44),(47,45),(48,19),(48,46),(49,18),(49,44),(50,17)],51)
[[2,3,3],[3,5]]=>([(0,1),(1,8),(1,9),(1,10),(2,3),(2,33),(3,28),(4,7),(4,20),(5,30),(6,12),(6,16),(6,25),(7,17),(7,18),(8,26),(8,31),(9,11),(9,31),(9,32),(10,5),(10,26),(10,32),(11,19),(11,29),(12,13),(12,21),(13,34),(14,37),(15,36),(16,4),(16,37),(17,35),(18,35),(19,23),(20,17),(21,24),(21,34),(22,15),(22,34),(23,22),(24,18),(24,36),(25,13),(25,37),(26,2),(26,27),(27,23),(27,33),(28,15),(28,24),(29,14),(29,25),(30,14),(30,16),(31,19),(31,27),(32,6),(32,29),(32,30),(33,21),(33,22),(33,28),(34,36),(36,35),(37,20)],38)
[[2,3,3],[4,5]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,4),(3,31),(4,29),(5,26),(6,16),(6,27),(7,17),(7,18),(8,25),(8,28),(9,19),(9,25),(10,5),(10,19),(10,28),(11,23),(11,24),(12,39),(13,38),(14,34),(15,34),(15,38),(16,37),(17,33),(18,33),(19,1),(20,15),(20,32),(20,36),(21,22),(21,37),(22,14),(22,32),(23,12),(23,36),(24,13),(24,36),(25,3),(25,30),(26,16),(26,21),(27,20),(27,23),(27,37),(28,6),(28,26),(28,30),(29,13),(29,14),(29,15),(30,21),(30,27),(30,31),(31,20),(31,22),(31,24),(31,29),(32,34),(32,39),(34,35),(35,33),(36,7),(36,38),(36,39),(37,12),(37,32),(38,17),(38,35),(39,18),(39,35)],40)
[[2,3,4],[3,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,3),(2,40),(3,37),(4,6),(4,33),(5,36),(6,19),(6,30),(7,28),(7,29),(8,12),(8,18),(8,31),(9,13),(9,38),(9,39),(10,32),(10,38),(11,5),(11,32),(11,39),(12,23),(12,25),(13,21),(13,35),(14,41),(15,45),(16,42),(17,42),(18,4),(18,45),(19,43),(20,27),(21,20),(22,16),(23,28),(23,44),(24,17),(25,26),(25,44),(26,19),(26,41),(27,14),(27,44),(28,24),(29,22),(30,16),(30,43),(31,7),(31,23),(31,45),(32,2),(32,34),(33,22),(33,30),(34,20),(34,40),(35,15),(35,31),(36,15),(36,18),(37,14),(37,26),(38,21),(38,34),(39,8),(39,35),(39,36),(40,25),(40,27),(40,37),(41,17),(41,43),(43,42),(44,24),(44,41),(45,29),(45,33)],46)
[[2,3,5],[3,4]]=>([(0,2),(0,3),(1,5),(1,15),(2,1),(3,10),(3,11),(3,14),(4,6),(4,20),(5,7),(5,49),(6,31),(7,48),(8,13),(8,43),(9,12),(9,42),(10,39),(10,41),(11,39),(11,40),(12,36),(12,37),(13,26),(13,38),(14,16),(14,40),(14,41),(15,17),(15,47),(15,49),(16,29),(16,47),(17,27),(17,44),(18,23),(18,34),(18,35),(19,55),(20,8),(21,52),(21,53),(22,51),(22,56),(23,50),(23,56),(24,50),(24,51),(25,53),(26,52),(27,36),(27,57),(28,26),(29,20),(30,42),(31,28),(32,19),(33,21),(33,54),(34,43),(34,56),(35,33),(35,50),(36,46),(37,28),(38,19),(38,52),(39,30),(40,9),(40,30),(41,4),(41,29),(42,31),(42,37),(43,32),(43,38),(44,24),(44,35),(44,57),(45,22),(45,34),(45,57),(46,21),(46,25),(47,27),(47,45),(48,22),(48,23),(48,24),(49,18),(49,44),(49,45),(49,48),(50,54),(51,25),(51,54),(52,55),(53,55),(54,53),(56,32),(57,33),(57,46),(57,51)],58)
[[2,3,3],[5,5]]=>([(0,2),(1,12),(2,9),(2,10),(2,11),(3,32),(4,5),(4,37),(5,36),(6,31),(7,20),(7,29),(8,19),(8,33),(9,30),(9,34),(10,21),(10,30),(11,6),(11,21),(11,34),(12,27),(12,28),(13,48),(14,44),(15,46),(16,47),(17,46),(17,47),(18,39),(19,3),(19,38),(20,40),(21,1),(22,23),(22,38),(23,16),(23,42),(24,17),(24,42),(24,45),(25,18),(25,48),(26,13),(26,41),(27,26),(27,45),(28,15),(28,45),(29,14),(29,40),(30,4),(30,35),(31,19),(31,22),(32,13),(32,25),(33,24),(33,27),(33,38),(34,8),(34,31),(34,35),(35,22),(35,33),(35,37),(36,15),(36,16),(36,17),(37,23),(37,24),(37,28),(37,36),(38,26),(38,32),(38,42),(39,44),(40,44),(41,29),(41,43),(41,48),(42,25),(42,41),(42,47),(43,39),(43,40),(45,7),(45,41),(45,46),(46,20),(46,43),(47,18),(47,43),(48,14),(48,39)],49)
[[2,3,5],[3,5]]=>([(0,2),(0,3),(1,5),(1,16),(2,1),(3,11),(3,12),(3,15),(4,6),(4,21),(5,7),(5,56),(6,35),(7,55),(8,14),(8,50),(9,10),(9,48),(10,42),(10,43),(11,45),(11,47),(12,45),(12,46),(13,40),(13,41),(14,28),(14,44),(15,17),(15,46),(15,47),(16,18),(16,54),(16,56),(17,33),(17,54),(18,30),(18,51),(19,27),(19,38),(19,39),(20,60),(21,8),(22,57),(22,63),(23,57),(23,62),(24,58),(24,59),(25,60),(26,58),(27,13),(27,62),(27,63),(28,59),(29,24),(29,65),(30,42),(30,64),(31,25),(32,28),(33,21),(34,48),(35,32),(36,20),(36,61),(37,20),(38,29),(38,63),(39,50),(39,62),(40,37),(41,31),(42,49),(43,32),(44,36),(44,59),(45,34),(46,9),(46,34),(47,4),(47,33),(48,35),(48,43),(49,24),(49,26),(50,44),(50,53),(51,22),(51,38),(51,64),(52,23),(52,39),(52,64),(53,36),(53,37),(54,30),(54,52),(55,22),(55,23),(55,27),(56,19),(56,51),(56,52),(56,55),(57,26),(57,65),(58,25),(58,61),(59,61),(61,60),(62,40),(62,53),(63,41),(63,65),(64,29),(64,49),(64,57),(65,31),(65,58)],66)
[[2,3,4],[4,5]]=>([(0,1),(1,9),(1,10),(1,11),(2,36),(3,29),(4,6),(4,42),(5,13),(5,28),(6,41),(7,21),(7,32),(8,20),(8,38),(9,34),(9,39),(10,33),(10,34),(11,12),(11,33),(11,39),(12,22),(12,35),(13,25),(13,26),(13,27),(14,44),(14,52),(15,44),(15,47),(16,46),(17,46),(18,47),(18,52),(19,53),(20,45),(21,49),(22,28),(23,30),(23,45),(24,16),(25,29),(25,43),(26,19),(26,51),(27,14),(27,43),(27,51),(28,3),(28,25),(29,2),(29,37),(30,18),(30,43),(30,48),(31,15),(31,48),(31,51),(32,17),(32,49),(33,5),(33,22),(34,4),(34,40),(35,20),(35,23),(36,16),(36,17),(37,24),(37,36),(38,26),(38,31),(38,45),(39,8),(39,35),(39,40),(40,23),(40,38),(40,42),(41,14),(41,15),(41,18),(42,27),(42,30),(42,31),(42,41),(43,37),(43,52),(44,21),(44,50),(45,19),(45,48),(47,50),(48,47),(48,53),(49,46),(50,49),(51,7),(51,44),(51,53),(52,24),(53,32),(53,50)],54)
[[2,3,5],[4,4]]=>([(0,2),(0,3),(1,5),(1,16),(2,1),(3,11),(3,12),(3,15),(4,6),(4,21),(5,7),(5,54),(6,34),(7,53),(8,14),(8,45),(9,13),(9,44),(10,29),(10,52),(11,41),(11,43),(12,41),(12,42),(13,39),(13,40),(14,28),(14,51),(15,18),(15,42),(15,43),(16,17),(16,50),(16,54),(17,32),(17,47),(18,31),(18,50),(19,20),(19,36),(19,38),(20,55),(20,66),(21,8),(22,61),(22,63),(23,60),(23,64),(24,55),(24,59),(25,59),(25,66),(26,60),(26,61),(27,58),(28,57),(29,62),(30,28),(31,21),(32,39),(32,56),(33,44),(34,30),(35,22),(36,45),(36,66),(37,23),(37,57),(37,58),(38,10),(38,48),(38,55),(39,49),(40,30),(41,33),(42,9),(42,33),(43,4),(43,31),(44,34),(44,40),(45,35),(45,51),(46,25),(46,36),(46,56),(47,24),(47,38),(47,56),(48,37),(48,52),(48,65),(49,27),(49,37),(50,32),(50,46),(51,22),(51,26),(51,57),(52,23),(52,26),(52,62),(53,20),(53,24),(53,25),(54,19),(54,46),(54,47),(54,53),(55,29),(55,65),(56,48),(56,49),(56,59),(57,60),(57,63),(58,63),(58,64),(59,27),(59,65),(60,67),(61,67),(62,61),(62,64),(63,67),(64,67),(65,58),(65,62),(66,35)],68)
[[2,4,4],[3,5]]=>([(0,1),(1,10),(1,11),(1,12),(2,29),(3,4),(3,43),(4,40),(5,7),(5,36),(6,39),(7,20),(7,33),(8,31),(8,32),(9,13),(9,19),(9,34),(10,14),(10,41),(10,42),(11,35),(11,41),(12,6),(12,35),(12,42),(13,23),(13,25),(14,22),(14,38),(15,44),(16,48),(18,45),(19,5),(19,48),(20,46),(21,27),(22,21),(23,31),(23,47),(24,18),(25,26),(25,47),(26,20),(26,44),(27,15),(27,47),(28,2),(28,30),(29,17),(30,29),(30,45),(31,24),(32,28),(33,30),(33,46),(34,8),(34,23),(34,48),(35,3),(35,37),(36,28),(36,33),(37,21),(37,43),(38,16),(38,34),(39,16),(39,19),(40,15),(40,26),(41,22),(41,37),(42,9),(42,38),(42,39),(43,25),(43,27),(43,40),(44,18),(44,46),(45,17),(46,45),(47,24),(47,44),(48,32),(48,36)],49)
[[2,3,4],[5,5]]=>([(0,1),(1,10),(1,11),(1,12),(2,37),(3,41),(4,6),(4,49),(5,14),(5,34),(6,48),(7,24),(7,45),(8,23),(8,44),(9,22),(9,43),(10,39),(10,46),(11,38),(11,39),(12,13),(12,38),(12,46),(13,26),(13,40),(14,31),(14,32),(14,33),(15,52),(15,66),(16,51),(16,52),(17,51),(17,66),(18,55),(18,61),(19,54),(19,55),(20,59),(21,54),(21,60),(22,3),(22,64),(23,57),(24,58),(25,18),(26,34),(27,35),(27,53),(28,29),(28,64),(29,15),(29,50),(29,65),(30,16),(30,63),(30,65),(31,37),(31,50),(32,27),(32,63),(33,17),(33,50),(33,63),(34,2),(34,31),(35,23),(35,56),(36,20),(36,56),(37,8),(37,42),(38,5),(38,26),(39,4),(39,47),(40,22),(40,28),(41,35),(41,36),(42,25),(42,44),(43,30),(43,32),(43,64),(44,18),(44,19),(44,57),(45,19),(45,21),(45,58),(46,9),(46,40),(46,47),(47,28),(47,43),(47,49),(48,15),(48,16),(48,17),(49,29),(49,30),(49,33),(49,48),(50,42),(50,66),(51,24),(51,62),(52,20),(52,62),(53,45),(53,56),(53,62),(54,67),(55,67),(56,21),(56,57),(56,59),(57,54),(57,61),(58,55),(58,60),(59,60),(59,61),(60,67),(61,67),(62,58),(62,59),(63,7),(63,51),(63,53),(64,27),(64,41),(64,65),(65,36),(65,52),(65,53),(66,25)],68)
[[2,3,5],[4,5]]=>([(0,2),(0,3),(1,6),(1,17),(2,1),(3,12),(3,13),(3,16),(4,7),(4,22),(5,53),(6,8),(6,60),(7,37),(8,59),(9,15),(9,50),(10,14),(10,49),(11,45),(11,57),(12,46),(12,48),(13,46),(13,47),(14,43),(14,44),(15,32),(15,58),(16,19),(16,47),(16,48),(17,18),(17,56),(17,60),(18,35),(18,52),(19,34),(19,56),(20,21),(20,40),(20,42),(21,5),(21,73),(21,74),(22,9),(23,65),(24,68),(24,70),(25,67),(25,71),(26,66),(26,74),(27,66),(27,73),(28,67),(28,68),(29,61),(30,72),(31,69),(32,63),(33,32),(34,22),(35,43),(35,62),(36,49),(37,33),(38,25),(38,61),(38,63),(39,24),(40,50),(40,73),(41,30),(41,65),(42,11),(42,54),(42,74),(43,55),(44,33),(45,23),(45,64),(46,36),(47,10),(47,36),(48,4),(48,34),(49,37),(49,44),(50,39),(50,58),(51,27),(51,40),(51,62),(52,26),(52,42),(52,62),(53,23),(53,41),(54,38),(54,57),(54,75),(55,29),(55,38),(56,35),(56,51),(57,25),(57,28),(57,64),(58,24),(58,28),(58,63),(59,21),(59,26),(59,27),(60,20),(60,51),(60,52),(60,59),(61,30),(61,70),(61,71),(62,54),(62,55),(62,66),(63,67),(63,70),(64,65),(64,68),(64,71),(65,31),(65,72),(66,29),(66,75),(67,76),(68,31),(68,76),(70,76),(71,72),(71,76),(72,69),(73,39),(74,45),(74,53),(74,75),(75,41),(75,61),(75,64),(76,69)],77)
[[2,4,5],[3,5]]=>([(0,2),(0,3),(1,4),(1,16),(2,1),(3,8),(3,9),(3,10),(4,5),(4,78),(5,77),(6,7),(6,76),(7,58),(7,73),(8,19),(8,74),(8,75),(9,20),(9,61),(9,75),(10,61),(10,74),(11,55),(11,57),(12,54),(12,56),(13,35),(13,59),(14,22),(14,71),(14,72),(15,18),(15,36),(15,60),(16,17),(16,70),(16,78),(17,43),(17,68),(18,44),(18,45),(19,40),(19,64),(20,65),(20,70),(21,34),(21,49),(21,50),(22,27),(22,42),(22,51),(23,89),(24,82),(24,86),(25,81),(26,83),(26,91),(27,80),(27,85),(28,83),(28,90),(29,79),(29,80),(30,84),(31,86),(32,88),(33,79),(34,11),(34,90),(34,91),(35,82),(36,14),(36,89),(37,29),(37,94),(38,31),(39,59),(39,84),(40,46),(41,30),(42,39),(42,85),(43,58),(43,93),(44,54),(44,92),(45,52),(45,92),(46,47),(47,25),(47,92),(48,24),(48,87),(49,72),(49,91),(50,37),(50,90),(51,48),(51,80),(52,27),(52,81),(53,13),(53,39),(54,41),(55,69),(56,53),(57,38),(58,63),(59,32),(59,82),(60,12),(60,44),(60,89),(61,6),(61,66),(62,48),(62,69),(63,29),(63,33),(64,23),(64,60),(65,23),(65,36),(66,46),(66,76),(67,26),(67,49),(67,93),(68,28),(68,50),(68,93),(69,24),(69,35),(70,43),(70,67),(71,42),(71,53),(72,51),(72,62),(73,25),(73,52),(74,40),(74,66),(75,15),(75,64),(75,65),(76,45),(76,47),(76,73),(77,26),(77,28),(77,34),(78,21),(78,67),(78,68),(78,77),(79,31),(79,87),(80,87),(81,30),(81,85),(82,88),(83,33),(83,94),(84,32),(85,84),(86,88),(87,86),(89,56),(89,71),(90,57),(90,94),(91,55),(91,62),(92,41),(92,81),(93,37),(93,63),(93,83),(94,38),(94,79)],95)
[[2,3,5],[5,5]]=>([(0,2),(0,3),(1,7),(1,18),(2,1),(3,13),(3,14),(3,17),(4,56),(5,8),(5,25),(6,57),(7,9),(7,64),(8,40),(9,63),(10,16),(10,53),(11,15),(11,52),(12,47),(12,62),(13,49),(13,51),(14,49),(14,50),(15,46),(15,48),(16,34),(16,61),(17,20),(17,50),(17,51),(18,19),(18,60),(18,64),(19,38),(19,55),(20,37),(20,60),(21,24),(21,43),(21,45),(22,74),(22,79),(23,6),(23,76),(24,4),(24,77),(24,78),(25,10),(26,71),(26,75),(27,71),(27,79),(28,69),(29,70),(29,78),(30,70),(30,77),(31,66),(32,72),(33,69),(34,68),(35,32),(35,76),(36,34),(37,25),(38,46),(38,67),(39,52),(40,36),(41,22),(42,26),(42,66),(42,68),(43,53),(43,77),(44,28),(44,73),(45,12),(45,58),(45,78),(46,59),(47,23),(47,65),(48,36),(49,39),(50,11),(50,39),(51,5),(51,37),(52,40),(52,48),(53,41),(53,61),(54,30),(54,43),(54,67),(55,29),(55,45),(55,67),(56,23),(56,35),(57,28),(57,33),(58,42),(58,62),(58,80),(59,31),(59,42),(60,38),(60,54),(61,22),(61,27),(61,68),(62,26),(62,27),(62,65),(63,24),(63,29),(63,30),(64,21),(64,54),(64,55),(64,63),(65,75),(65,76),(65,79),(66,32),(66,74),(66,75),(67,58),(67,59),(67,70),(68,71),(68,74),(70,31),(70,80),(71,81),(72,33),(72,73),(73,69),(74,81),(75,72),(75,81),(76,44),(76,57),(76,72),(77,41),(78,47),(78,56),(78,80),(79,44),(79,81),(80,35),(80,65),(80,66),(81,73)],82)
[[2,4,4],[4,5]]=>([(0,1),(1,11),(1,12),(1,13),(2,26),(3,17),(4,5),(4,45),(5,41),(6,9),(6,42),(7,39),(8,33),(8,35),(9,20),(9,34),(10,14),(10,21),(10,36),(11,15),(11,43),(11,44),(12,37),(12,43),(13,7),(13,37),(13,44),(14,28),(14,29),(15,22),(15,38),(16,47),(18,50),(19,49),(20,46),(21,6),(21,49),(22,24),(23,20),(23,47),(24,30),(25,2),(25,27),(26,3),(26,31),(27,26),(27,50),(28,33),(28,48),(29,23),(29,48),(30,16),(30,48),(31,17),(32,18),(33,32),(34,27),(34,46),(35,25),(36,8),(36,28),(36,49),(37,4),(37,40),(38,19),(38,36),(39,19),(39,21),(40,24),(40,45),(41,16),(41,23),(42,25),(42,34),(43,22),(43,40),(44,10),(44,38),(44,39),(45,29),(45,30),(45,41),(46,50),(47,18),(47,46),(48,32),(48,47),(49,35),(49,42),(50,31)],51)
[[2,4,4],[5,5]]=>([(0,1),(1,11),(1,12),(1,13),(2,39),(3,43),(4,6),(4,51),(5,15),(5,36),(6,50),(7,19),(8,26),(8,47),(9,25),(9,46),(10,24),(10,45),(11,41),(11,48),(12,40),(12,41),(13,14),(13,40),(13,48),(14,28),(14,42),(15,33),(15,34),(15,35),(16,54),(16,68),(17,53),(17,54),(18,53),(18,68),(20,56),(20,63),(21,56),(21,57),(22,61),(23,57),(23,62),(24,3),(24,66),(25,59),(26,60),(27,20),(28,36),(29,37),(29,55),(30,31),(30,66),(31,16),(31,52),(31,67),(32,17),(32,65),(32,67),(33,39),(33,52),(34,29),(34,65),(35,18),(35,52),(35,65),(36,2),(36,33),(37,25),(37,58),(38,22),(38,58),(39,9),(39,44),(40,5),(40,28),(41,4),(41,49),(42,24),(42,30),(43,37),(43,38),(44,27),(44,46),(45,32),(45,34),(45,66),(46,20),(46,21),(46,59),(47,21),(47,23),(47,60),(48,10),(48,42),(48,49),(49,30),(49,45),(49,51),(50,16),(50,17),(50,18),(51,31),(51,32),(51,35),(51,50),(52,44),(52,68),(53,26),(53,64),(54,22),(54,64),(55,47),(55,58),(55,64),(56,69),(57,7),(57,69),(58,23),(58,59),(58,61),(59,57),(59,63),(60,56),(60,62),(61,62),(61,63),(62,69),(63,69),(64,60),(64,61),(65,8),(65,53),(65,55),(66,29),(66,43),(66,67),(67,38),(67,54),(67,55),(68,27),(69,19)],70)
[[2,4,5],[4,5]]=>([(0,2),(0,3),(1,4),(1,17),(2,1),(3,9),(3,10),(3,11),(4,5),(4,81),(5,80),(6,8),(6,79),(7,36),(7,63),(8,61),(8,76),(9,20),(9,77),(9,78),(10,21),(10,64),(10,78),(11,64),(11,77),(12,57),(12,60),(13,58),(13,59),(14,35),(14,37),(15,23),(15,74),(15,75),(16,19),(16,38),(16,62),(17,18),(17,73),(17,81),(18,44),(18,71),(19,45),(19,48),(20,40),(20,67),(21,68),(21,73),(22,34),(22,52),(22,53),(23,29),(23,43),(23,54),(24,93),(25,83),(26,86),(26,95),(27,86),(27,94),(28,85),(28,88),(29,84),(29,89),(30,82),(30,84),(31,88),(32,92),(33,82),(34,13),(34,94),(34,95),(35,87),(36,85),(37,87),(38,15),(38,93),(39,30),(39,98),(40,49),(41,32),(42,31),(43,46),(43,89),(44,61),(44,97),(45,57),(45,96),(46,63),(46,92),(47,35),(47,91),(48,55),(48,96),(49,50),(50,25),(50,96),(51,28),(51,90),(52,75),(52,95),(53,39),(53,94),(54,51),(54,84),(55,29),(55,83),(56,7),(56,46),(57,41),(58,72),(59,42),(60,56),(61,66),(62,12),(62,45),(62,93),(63,14),(63,47),(63,85),(64,6),(64,69),(65,51),(65,72),(66,30),(66,33),(67,24),(67,62),(68,24),(68,38),(69,49),(69,79),(70,26),(70,52),(70,97),(71,27),(71,53),(71,97),(72,28),(72,36),(73,44),(73,70),(74,43),(74,56),(75,54),(75,65),(76,25),(76,55),(77,40),(77,69),(78,16),(78,67),(78,68),(79,48),(79,50),(79,76),(80,26),(80,27),(80,34),(81,22),(81,70),(81,71),(81,80),(82,31),(82,90),(83,32),(83,89),(84,90),(85,37),(85,91),(86,33),(86,98),(88,91),(89,92),(90,88),(91,87),(92,47),(93,60),(93,74),(94,59),(94,98),(95,58),(95,65),(96,41),(96,83),(97,39),(97,66),(97,86),(98,42),(98,82)],99)
[[2,4,5],[5,5]]=>([(0,2),(0,3),(1,5),(1,19),(2,1),(3,9),(3,10),(3,11),(4,80),(5,6),(5,93),(6,92),(7,14),(7,91),(8,42),(8,68),(9,22),(9,89),(9,90),(10,23),(10,71),(10,90),(11,71),(11,89),(12,64),(12,67),(13,66),(13,88),(14,63),(14,86),(15,65),(15,84),(16,41),(16,69),(17,25),(17,85),(17,87),(18,20),(18,43),(18,70),(19,21),(19,83),(19,93),(20,48),(20,51),(21,46),(21,78),(22,45),(22,73),(23,74),(23,83),(24,40),(24,56),(24,62),(25,35),(25,59),(25,77),(26,97),(27,108),(28,113),(29,4),(29,112),(30,106),(30,115),(31,102),(31,116),(32,102),(32,114),(33,103),(33,110),(34,103),(34,117),(35,98),(35,101),(36,119),(37,94),(38,100),(39,105),(39,106),(40,15),(40,114),(40,116),(41,115),(42,99),(43,17),(43,113),(44,69),(44,119),(45,52),(46,63),(46,96),(47,39),(47,112),(48,64),(48,111),(49,36),(50,26),(50,111),(51,53),(51,111),(52,50),(53,35),(53,97),(54,33),(54,94),(54,98),(55,30),(55,109),(55,117),(56,87),(56,116),(57,27),(57,100),(58,42),(58,104),(59,44),(59,101),(60,57),(60,107),(61,16),(61,44),(62,13),(62,81),(62,114),(63,82),(64,49),(65,79),(66,29),(66,95),(67,61),(68,27),(68,99),(69,8),(69,58),(69,115),(70,12),(70,48),(70,113),(71,7),(71,75),(72,55),(72,79),(73,28),(73,70),(74,28),(74,43),(75,52),(75,91),(76,31),(76,56),(76,96),(77,34),(77,55),(77,98),(78,32),(78,62),(78,96),(79,30),(79,41),(80,38),(80,57),(81,54),(81,88),(81,118),(82,37),(82,54),(83,46),(83,76),(84,29),(84,47),(85,59),(85,61),(86,26),(86,53),(87,72),(87,77),(88,33),(88,34),(88,95),(89,45),(89,75),(90,18),(90,73),(90,74),(91,50),(91,51),(91,86),(92,31),(92,32),(92,40),(93,24),(93,76),(93,78),(93,92),(94,39),(94,109),(94,110),(95,110),(95,112),(95,117),(96,81),(96,82),(96,102),(97,36),(97,101),(98,103),(98,109),(99,108),(100,108),(101,119),(102,37),(102,118),(103,120),(104,99),(105,38),(105,107),(106,104),(107,100),(109,106),(109,120),(110,105),(110,120),(111,49),(111,97),(112,60),(112,80),(112,105),(113,67),(113,85),(114,66),(114,84),(114,118),(115,68),(115,104),(116,65),(116,72),(117,60),(117,120),(118,47),(118,94),(118,95),(119,58),(120,107)],121)
[[3,3,3],[4,5]]=>([(0,2),(1,12),(2,9),(2,10),(2,11),(3,15),(4,5),(4,33),(5,31),(6,28),(7,19),(7,29),(8,18),(8,20),(9,27),(9,30),(10,21),(10,27),(11,6),(11,21),(11,30),(12,25),(12,26),(13,40),(14,39),(16,36),(17,36),(17,39),(18,41),(19,38),(20,3),(20,41),(21,1),(22,17),(22,34),(22,37),(23,24),(23,38),(24,16),(24,34),(25,13),(25,37),(26,14),(26,37),(27,4),(27,32),(28,19),(28,23),(29,22),(29,25),(29,38),(30,7),(30,28),(30,32),(31,14),(31,16),(31,17),(32,23),(32,29),(32,33),(33,22),(33,24),(33,26),(33,31),(34,36),(34,40),(35,41),(36,35),(37,8),(37,39),(37,40),(38,13),(38,34),(39,20),(39,35),(40,18),(40,35),(41,15)],42)
[[3,3,3],[5,5]]=>([(0,2),(1,13),(2,10),(2,11),(2,12),(3,28),(4,35),(5,6),(5,40),(6,39),(7,34),(8,22),(8,32),(9,21),(9,36),(10,33),(10,37),(11,23),(11,33),(12,7),(12,23),(12,37),(13,30),(13,31),(15,50),(16,51),(17,48),(18,49),(19,48),(19,49),(20,42),(21,4),(21,41),(22,3),(22,43),(23,1),(24,25),(24,41),(25,18),(25,45),(26,19),(26,45),(26,47),(27,20),(27,50),(28,14),(29,15),(29,44),(30,29),(30,47),(31,17),(31,47),(32,16),(32,43),(33,5),(33,38),(34,21),(34,24),(35,15),(35,27),(36,26),(36,30),(36,41),(37,9),(37,34),(37,38),(38,24),(38,36),(38,40),(39,17),(39,18),(39,19),(40,25),(40,26),(40,31),(40,39),(41,29),(41,35),(41,45),(42,51),(43,28),(43,51),(44,32),(44,46),(44,50),(45,27),(45,44),(45,49),(46,42),(46,43),(47,8),(47,44),(47,48),(48,22),(48,46),(49,20),(49,46),(50,16),(50,42),(51,14)],52)
[[3,3,4],[4,5]]=>([(0,1),(1,10),(1,11),(1,12),(2,35),(3,42),(4,37),(5,7),(5,45),(6,14),(6,36),(7,44),(8,20),(8,40),(9,25),(9,38),(10,34),(10,39),(11,33),(11,34),(12,9),(12,33),(12,39),(13,23),(13,26),(14,30),(14,31),(14,32),(15,52),(15,56),(16,51),(16,52),(17,51),(17,56),(18,48),(19,48),(20,46),(22,55),(23,2),(23,54),(24,19),(25,36),(26,18),(26,54),(27,28),(27,46),(28,17),(28,47),(28,50),(29,16),(29,49),(29,50),(30,22),(30,49),(31,37),(31,47),(32,15),(32,47),(32,49),(33,6),(33,25),(34,5),(34,43),(35,21),(36,4),(36,31),(37,3),(37,41),(38,20),(38,27),(39,8),(39,38),(39,43),(40,29),(40,30),(40,46),(41,24),(41,42),(42,18),(42,19),(43,27),(43,40),(43,45),(44,15),(44,16),(44,17),(45,28),(45,29),(45,32),(45,44),(46,22),(46,50),(47,41),(47,56),(48,21),(49,13),(49,52),(49,55),(50,51),(50,55),(51,53),(52,23),(52,53),(53,54),(54,35),(54,48),(55,26),(55,53),(56,24)],57)
[[3,3,5],[4,4]]=>([(0,2),(0,3),(1,6),(1,19),(2,1),(3,12),(3,14),(3,18),(4,53),(5,44),(6,7),(6,64),(7,62),(8,30),(9,15),(9,63),(10,17),(10,23),(11,16),(11,52),(12,49),(12,50),(13,34),(13,59),(14,48),(14,50),(15,46),(15,58),(16,35),(16,61),(17,36),(17,47),(18,20),(18,48),(18,49),(19,21),(19,60),(19,64),(20,37),(20,60),(21,41),(21,55),(22,33),(22,42),(22,45),(23,11),(24,71),(25,73),(25,74),(26,72),(26,73),(27,76),(27,78),(28,72),(28,75),(29,77),(30,5),(32,66),(32,78),(33,66),(33,76),(34,70),(35,68),(36,69),(37,23),(38,35),(38,77),(39,29),(39,69),(40,28),(40,68),(40,71),(41,46),(41,67),(42,52),(42,66),(43,25),(44,31),(45,13),(45,57),(45,76),(46,56),(47,38),(47,69),(48,10),(48,37),(49,9),(49,51),(50,4),(50,51),(51,53),(51,63),(52,43),(52,61),(53,36),(53,39),(54,32),(54,42),(54,67),(55,27),(55,45),(55,67),(56,24),(56,40),(57,40),(57,59),(57,65),(58,29),(58,38),(59,26),(59,28),(59,70),(60,41),(60,54),(61,25),(61,26),(61,68),(62,27),(62,32),(62,33),(63,39),(63,47),(63,58),(64,22),(64,54),(64,55),(64,62),(65,70),(65,71),(66,43),(67,56),(67,57),(67,78),(68,72),(68,74),(69,8),(69,77),(70,73),(70,75),(71,74),(71,75),(72,44),(72,79),(73,79),(74,79),(75,79),(76,34),(76,65),(77,30),(78,24),(78,65),(79,31)],80)
[[3,3,4],[5,5]]=>([(0,1),(1,11),(1,12),(1,13),(2,44),(3,46),(4,40),(5,7),(5,53),(6,15),(6,35),(7,52),(8,27),(8,49),(9,26),(9,47),(10,25),(10,48),(11,42),(11,50),(12,41),(12,42),(13,14),(13,41),(13,50),(14,30),(14,43),(15,34),(15,38),(15,39),(16,63),(16,66),(17,62),(17,63),(18,57),(18,71),(19,55),(19,71),(20,55),(20,57),(21,64),(22,62),(22,65),(23,58),(24,58),(25,61),(26,2),(26,69),(27,3),(27,59),(28,21),(28,60),(29,25),(29,60),(30,35),(31,20),(31,68),(31,70),(32,37),(32,69),(33,16),(34,36),(34,68),(35,4),(35,38),(36,29),(36,56),(37,19),(37,54),(37,70),(38,40),(38,54),(39,18),(39,54),(39,68),(40,10),(40,45),(41,6),(41,30),(42,5),(42,51),(43,26),(43,32),(44,28),(44,29),(45,33),(45,48),(46,23),(46,24),(47,31),(47,34),(47,69),(48,16),(48,17),(48,61),(49,17),(49,22),(49,59),(50,9),(50,43),(50,51),(51,32),(51,47),(51,53),(52,18),(52,19),(52,20),(53,31),(53,37),(53,39),(53,52),(54,45),(54,71),(55,21),(55,67),(56,49),(56,60),(56,67),(57,27),(57,67),(59,46),(59,63),(59,65),(60,22),(60,61),(60,64),(61,62),(61,66),(62,72),(63,23),(63,72),(64,65),(64,66),(65,24),(65,72),(66,72),(67,59),(67,64),(68,8),(68,56),(68,57),(69,36),(69,44),(69,70),(70,28),(70,55),(70,56),(71,33),(72,58)],73)
[[3,3,5],[4,5]]=>([(0,2),(0,3),(1,7),(1,20),(2,1),(3,15),(3,16),(3,19),(4,60),(5,59),(6,45),(7,8),(7,71),(8,70),(9,35),(10,14),(10,69),(11,18),(11,25),(12,17),(12,57),(13,53),(13,67),(14,51),(14,66),(15,55),(15,56),(16,54),(16,56),(17,38),(17,68),(18,39),(18,52),(19,22),(19,54),(19,55),(20,21),(20,65),(20,71),(21,47),(21,62),(22,42),(22,65),(23,32),(23,44),(23,50),(24,78),(25,12),(26,80),(26,88),(27,80),(27,83),(28,84),(28,88),(29,77),(30,79),(30,86),(31,79),(31,85),(32,4),(32,85),(32,86),(33,82),(35,6),(36,74),(37,81),(38,75),(39,76),(40,33),(40,78),(41,38),(41,77),(42,25),(43,27),(44,57),(44,85),(45,46),(46,34),(47,51),(47,73),(48,29),(48,76),(49,28),(49,74),(49,75),(50,13),(50,64),(50,86),(51,63),(52,41),(52,76),(53,24),(53,72),(54,11),(54,42),(55,10),(55,58),(56,5),(56,58),(57,43),(57,68),(58,59),(58,69),(59,39),(59,48),(60,24),(60,40),(61,31),(61,44),(61,73),(62,30),(62,50),(62,73),(63,36),(63,49),(64,49),(64,67),(64,87),(65,47),(65,61),(66,29),(66,41),(67,26),(67,28),(67,72),(68,26),(68,27),(68,75),(69,48),(69,52),(69,66),(70,30),(70,31),(70,32),(71,23),(71,61),(71,62),(71,70),(72,78),(72,80),(72,84),(73,63),(73,64),(73,79),(74,33),(74,83),(74,84),(75,83),(75,88),(76,9),(76,77),(77,35),(78,37),(78,82),(79,36),(79,87),(80,37),(80,89),(81,34),(82,81),(83,89),(84,82),(84,89),(85,43),(86,53),(86,60),(86,87),(87,40),(87,72),(87,74),(88,45),(88,89),(89,46),(89,81)],90)
[[3,3,5],[5,5]]=>([(0,2),(0,3),(1,11),(1,16),(2,18),(2,19),(2,20),(3,1),(4,72),(5,41),(6,73),(7,71),(8,60),(9,23),(9,40),(10,22),(10,70),(11,13),(11,76),(12,21),(12,75),(13,74),(14,55),(14,67),(15,51),(15,63),(16,17),(16,63),(16,76),(17,54),(17,65),(18,58),(18,59),(19,57),(19,59),(20,15),(20,57),(20,58),(21,45),(21,62),(22,33),(22,66),(23,28),(23,46),(24,39),(24,49),(24,50),(25,86),(25,94),(26,93),(26,94),(27,85),(27,93),(28,87),(29,84),(29,88),(30,84),(30,89),(31,81),(32,79),(33,78),(35,83),(36,80),(37,79),(38,7),(38,92),(39,4),(39,88),(39,89),(40,10),(41,8),(42,32),(42,90),(43,35),(43,92),(44,34),(45,69),(46,53),(46,87),(47,31),(47,87),(48,27),(49,70),(49,88),(50,14),(50,68),(50,89),(51,40),(52,44),(53,33),(53,81),(54,45),(54,82),(55,38),(55,77),(56,25),(56,78),(56,80),(57,9),(57,51),(58,12),(58,61),(59,6),(59,61),(60,52),(61,73),(61,75),(62,31),(62,53),(63,54),(63,64),(64,29),(64,49),(64,82),(65,30),(65,50),(65,82),(66,26),(66,27),(66,78),(67,25),(67,26),(67,77),(68,56),(68,67),(68,91),(69,36),(69,56),(70,48),(70,66),(71,32),(71,37),(72,38),(72,43),(73,28),(73,47),(74,29),(74,30),(74,39),(75,46),(75,47),(75,62),(76,24),(76,64),(76,65),(76,74),(77,86),(77,92),(77,93),(78,85),(78,94),(79,34),(80,35),(80,85),(80,86),(81,41),(82,68),(82,69),(82,84),(83,37),(83,90),(84,36),(84,91),(85,95),(86,83),(86,95),(87,5),(87,81),(88,48),(89,55),(89,72),(89,91),(90,44),(90,79),(91,43),(91,77),(91,80),(92,42),(92,71),(92,83),(93,42),(93,95),(94,60),(94,95),(95,52),(95,90)],96)
[[3,4,4],[4,5]]=>([(0,1),(1,15),(1,16),(1,17),(2,39),(3,40),(4,56),(5,38),(6,7),(6,63),(7,62),(8,13),(8,52),(9,55),(10,30),(10,47),(11,29),(11,58),(12,46),(12,48),(13,28),(13,49),(14,19),(14,27),(14,50),(15,51),(15,60),(16,18),(16,59),(16,60),(17,9),(17,51),(17,59),(18,53),(18,54),(19,36),(19,44),(19,45),(21,74),(22,75),(23,75),(24,69),(24,77),(25,65),(25,69),(26,73),(27,8),(27,74),(28,67),(29,66),(30,5),(30,72),(31,40),(31,76),(32,39),(33,25),(33,68),(33,71),(34,20),(35,22),(35,76),(36,26),(36,71),(37,3),(37,31),(38,34),(39,20),(40,2),(40,32),(41,28),(41,65),(41,77),(42,43),(42,66),(43,24),(43,64),(43,68),(44,48),(44,64),(45,41),(45,64),(45,71),(46,37),(47,23),(47,72),(48,4),(48,57),(49,31),(49,67),(50,12),(50,44),(50,74),(51,6),(51,61),(52,37),(52,49),(53,29),(53,42),(54,21),(54,50),(55,21),(55,27),(56,22),(56,23),(57,35),(57,56),(58,33),(58,36),(58,66),(59,14),(59,54),(59,55),(60,11),(60,53),(60,61),(61,42),(61,58),(61,63),(62,24),(62,25),(62,41),(63,33),(63,43),(63,45),(63,62),(64,57),(64,77),(65,30),(65,70),(66,26),(66,68),(67,76),(68,69),(68,73),(69,70),(70,72),(71,10),(71,65),(71,73),(72,38),(72,75),(73,47),(73,70),(74,46),(74,52),(75,34),(76,32),(77,35),(77,67)],78)
[[3,4,4],[5,5]]=>([(0,1),(1,12),(1,13),(1,14),(2,53),(3,44),(4,52),(5,43),(6,8),(6,56),(7,16),(7,45),(8,55),(9,22),(9,49),(10,37),(10,47),(11,28),(11,48),(12,42),(12,46),(13,41),(13,42),(14,10),(14,41),(14,46),(15,29),(15,51),(16,34),(16,35),(16,36),(17,58),(17,74),(18,62),(18,74),(19,58),(19,62),(20,63),(20,69),(21,63),(21,71),(22,61),(23,67),(25,59),(26,59),(27,68),(27,71),(28,4),(28,73),(29,2),(29,65),(30,17),(30,57),(30,72),(31,30),(31,73),(32,20),(33,19),(33,60),(33,72),(34,43),(34,57),(35,38),(35,60),(36,18),(36,57),(36,60),(37,45),(38,39),(38,66),(39,22),(39,64),(40,23),(40,64),(41,7),(41,37),(42,6),(42,54),(43,9),(43,50),(44,24),(45,5),(45,34),(46,11),(46,47),(46,54),(47,28),(47,31),(48,33),(48,35),(48,73),(49,20),(49,21),(49,61),(50,32),(50,49),(51,21),(51,27),(51,65),(52,39),(52,40),(53,25),(53,26),(54,31),(54,48),(54,56),(55,17),(55,18),(55,19),(56,30),(56,33),(56,36),(56,55),(57,50),(57,74),(58,23),(58,70),(59,24),(60,15),(60,62),(60,66),(61,69),(61,71),(62,29),(62,70),(63,25),(63,75),(64,27),(64,61),(64,67),(65,53),(65,63),(65,68),(66,51),(66,64),(66,70),(67,68),(67,69),(68,26),(68,75),(69,75),(70,65),(70,67),(71,3),(71,75),(72,40),(72,58),(72,66),(73,38),(73,52),(73,72),(74,32),(75,44),(75,59)],76)
[[3,4,5],[4,5]]=>([(0,2),(0,3),(1,5),(1,20),(2,1),(3,12),(3,13),(3,19),(4,90),(5,6),(5,108),(6,106),(7,15),(7,109),(8,81),(8,102),(9,50),(9,78),(10,52),(10,79),(11,77),(11,80),(12,25),(12,103),(12,104),(13,84),(13,104),(14,75),(14,100),(15,74),(15,107),(16,73),(16,76),(17,48),(17,101),(18,49),(18,83),(19,24),(19,84),(19,103),(20,23),(20,97),(20,108),(21,28),(21,98),(21,99),(22,27),(22,51),(22,82),(23,64),(23,92),(24,89),(24,97),(25,86),(25,88),(26,47),(26,56),(26,72),(27,61),(27,68),(27,69),(28,41),(28,67),(28,93),(29,124),(30,139),(31,139),(32,126),(32,142),(33,125),(33,138),(34,123),(35,132),(35,142),(36,122),(36,143),(37,136),(38,125),(38,137),(39,116),(39,122),(40,117),(40,121),(41,111),(41,112),(42,121),(42,130),(43,134),(44,124),(45,115),(46,127),(47,14),(47,137),(47,138),(48,118),(49,117),(50,120),(51,21),(51,136),(52,16),(52,135),(53,78),(53,128),(54,42),(54,123),(55,83),(55,141),(56,99),(56,138),(57,39),(57,119),(57,133),(58,40),(58,126),(58,131),(59,31),(59,141),(60,29),(61,43),(61,133),(62,44),(63,41),(63,116),(63,143),(64,74),(64,114),(65,66),(65,118),(66,36),(66,113),(66,119),(67,55),(67,112),(68,80),(68,113),(69,63),(69,113),(69,133),(70,35),(70,111),(70,115),(71,18),(71,55),(72,8),(72,95),(72,137),(73,60),(74,96),(75,87),(76,62),(77,71),(78,29),(78,120),(79,30),(79,135),(80,4),(80,94),(81,34),(81,110),(82,11),(82,68),(82,136),(83,9),(83,53),(83,117),(84,7),(84,105),(85,58),(85,87),(86,48),(86,65),(87,40),(87,49),(88,37),(88,82),(89,37),(89,51),(90,30),(90,31),(91,33),(91,56),(91,114),(92,38),(92,72),(92,114),(93,32),(93,58),(93,111),(94,59),(94,90),(95,70),(95,102),(95,140),(96,45),(96,70),(97,64),(97,91),(98,67),(98,71),(99,85),(99,93),(100,34),(100,54),(101,57),(101,61),(101,118),(102,32),(102,35),(102,110),(103,22),(103,88),(103,89),(104,17),(104,86),(104,105),(105,65),(105,101),(105,109),(106,33),(106,38),(106,47),(107,36),(107,39),(107,63),(108,26),(108,91),(108,92),(108,106),(109,57),(109,66),(109,69),(109,107),(110,123),(110,126),(110,132),(111,131),(111,142),(112,141),(113,94),(113,143),(114,95),(114,96),(114,125),(115,42),(115,131),(115,132),(116,52),(116,129),(117,50),(117,128),(118,43),(118,119),(119,122),(119,134),(120,124),(121,128),(122,129),(123,46),(123,130),(125,45),(125,140),(126,46),(126,144),(127,44),(128,120),(129,135),(130,127),(131,121),(131,144),(132,130),(132,144),(133,10),(133,116),(133,134),(134,79),(134,129),(135,73),(135,139),(136,77),(136,98),(137,81),(137,100),(137,140),(138,75),(138,85),(139,60),(140,54),(140,110),(140,115),(141,53),(142,76),(142,144),(143,59),(143,112),(144,62),(144,127)],145)
[[3,4,5],[5,5]]=>([(0,2),(0,3),(1,6),(1,21),(2,1),(3,15),(3,19),(3,20),(4,96),(5,95),(6,7),(6,114),(7,112),(8,16),(8,115),(9,80),(9,85),(10,86),(10,108),(11,53),(11,82),(12,83),(12,84),(13,81),(13,105),(14,51),(14,107),(15,89),(15,109),(16,77),(16,113),(17,78),(17,79),(18,50),(18,87),(19,26),(19,109),(19,110),(20,25),(20,89),(20,110),(21,24),(21,104),(21,114),(22,28),(22,52),(22,88),(23,29),(23,103),(23,106),(24,67),(24,98),(25,94),(25,104),(26,90),(26,93),(27,49),(27,59),(27,76),(28,64),(28,72),(28,73),(29,43),(29,71),(29,99),(30,145),(31,145),(32,135),(33,129),(34,150),(34,151),(35,137),(35,151),(36,130),(36,152),(37,132),(37,142),(38,132),(38,143),(39,131),(39,144),(40,141),(41,5),(41,149),(42,124),(42,130),(43,116),(43,118),(44,134),(45,127),(45,131),(46,139),(47,122),(48,121),(49,13),(49,142),(49,143),(50,144),(51,123),(52,23),(52,141),(53,17),(53,140),(54,69),(54,146),(55,44),(55,129),(56,45),(56,149),(57,83),(57,128),(58,87),(58,148),(59,103),(59,142),(60,42),(60,125),(60,138),(61,39),(61,136),(61,150),(62,30),(62,148),(63,33),(64,46),(64,138),(65,55),(66,43),(66,124),(66,152),(67,77),(67,120),(68,70),(68,123),(69,32),(69,121),(70,36),(70,119),(70,125),(71,58),(71,118),(72,85),(72,119),(73,66),(73,119),(73,138),(74,35),(74,116),(74,122),(75,18),(75,58),(76,10),(76,101),(76,143),(77,102),(78,63),(79,65),(80,75),(81,92),(82,31),(82,140),(83,33),(83,126),(84,32),(84,126),(85,4),(85,100),(86,41),(86,117),(87,12),(87,57),(87,144),(88,9),(88,72),(88,141),(89,8),(89,111),(90,51),(90,68),(91,61),(91,92),(92,39),(92,50),(93,40),(93,88),(94,40),(94,52),(95,48),(95,69),(96,30),(96,31),(97,37),(97,59),(97,120),(98,38),(98,76),(98,120),(99,34),(99,61),(99,116),(100,62),(100,96),(101,74),(101,108),(101,147),(102,47),(102,74),(103,91),(103,99),(104,67),(104,97),(105,41),(105,56),(106,71),(106,75),(107,60),(107,64),(107,123),(108,34),(108,35),(108,117),(109,14),(109,90),(109,111),(110,22),(110,93),(110,94),(111,68),(111,107),(111,115),(112,37),(112,38),(112,49),(113,36),(113,42),(113,66),(114,27),(114,97),(114,98),(114,112),(115,60),(115,70),(115,73),(115,113),(116,136),(116,151),(117,137),(117,149),(117,150),(118,148),(119,100),(119,152),(120,101),(120,102),(120,132),(121,44),(121,135),(122,45),(122,136),(122,137),(123,46),(123,125),(124,53),(124,133),(125,130),(125,139),(126,129),(126,135),(127,48),(127,146),(128,126),(129,134),(130,133),(131,128),(132,47),(132,147),(133,140),(135,134),(136,131),(136,153),(137,127),(137,153),(138,11),(138,124),(138,139),(139,82),(139,133),(140,78),(140,145),(141,80),(141,106),(142,81),(142,91),(143,86),(143,105),(143,147),(144,84),(144,128),(145,63),(146,55),(146,121),(147,56),(147,117),(147,122),(148,57),(149,54),(149,95),(149,127),(150,54),(150,153),(151,79),(151,153),(152,62),(152,118),(153,65),(153,146)],154)
[[4,4,4],[5,5]]=>([(0,2),(2,12),(2,13),(2,14),(3,54),(4,45),(5,53),(6,44),(7,9),(7,57),(8,17),(8,46),(9,56),(10,29),(10,48),(11,23),(11,50),(12,43),(12,49),(13,42),(13,43),(14,15),(14,42),(14,49),(15,31),(15,47),(16,30),(16,52),(17,36),(17,37),(17,38),(18,59),(18,75),(19,63),(19,75),(20,59),(20,63),(21,64),(21,70),(22,64),(22,72),(23,62),(24,68),(25,60),(26,60),(27,69),(27,72),(28,1),(29,5),(29,73),(30,3),(30,66),(31,46),(32,18),(32,58),(32,74),(33,32),(33,73),(34,21),(35,20),(35,61),(35,74),(36,40),(36,61),(37,44),(37,58),(38,19),(38,58),(38,61),(39,23),(39,65),(40,39),(40,67),(41,24),(41,65),(42,8),(42,31),(43,7),(43,55),(44,11),(44,51),(45,28),(46,6),(46,37),(47,29),(47,33),(48,35),(48,36),(48,73),(49,10),(49,47),(49,55),(50,21),(50,22),(50,62),(51,34),(51,50),(52,22),(52,27),(52,66),(53,39),(53,41),(54,25),(54,26),(55,33),(55,48),(55,57),(56,18),(56,19),(56,20),(57,32),(57,35),(57,38),(57,56),(58,51),(58,75),(59,24),(59,71),(60,28),(61,16),(61,63),(61,67),(62,70),(62,72),(63,30),(63,71),(64,25),(64,76),(65,27),(65,62),(65,68),(66,54),(66,64),(66,69),(67,52),(67,65),(67,71),(68,69),(68,70),(69,26),(69,76),(70,76),(71,66),(71,68),(72,4),(72,76),(73,40),(73,53),(73,74),(74,41),(74,59),(74,67),(75,34),(76,45),(76,60)],77)
[[4,4,5],[5,5]]=>([(0,2),(0,3),(1,7),(1,24),(2,1),(3,18),(3,22),(3,23),(4,106),(5,105),(6,52),(7,8),(7,127),(8,125),(9,67),(10,20),(10,128),(11,93),(11,94),(12,95),(12,119),(13,61),(13,121),(14,91),(14,96),(15,58),(15,97),(16,92),(16,115),(17,59),(17,117),(18,99),(18,122),(19,90),(19,120),(20,89),(20,126),(21,57),(21,118),(22,29),(22,122),(22,123),(23,28),(23,99),(23,123),(24,27),(24,114),(24,127),(25,31),(25,60),(25,98),(26,32),(26,113),(26,116),(27,79),(27,108),(28,104),(28,114),(29,100),(29,103),(30,56),(30,70),(30,88),(31,75),(31,84),(31,85),(32,46),(32,83),(32,109),(33,154),(34,148),(34,164),(35,153),(35,164),(36,146),(37,170),(37,171),(38,156),(38,171),(39,149),(39,163),(40,149),(40,162),(41,147),(41,160),(42,161),(43,4),(43,169),(44,137),(44,172),(45,137),(45,139),(46,131),(46,132),(47,143),(47,147),(48,148),(48,152),(49,151),(50,150),(51,6),(53,135),(54,136),(55,129),(56,16),(56,162),(56,163),(57,144),(58,160),(59,5),(59,159),(60,26),(60,161),(61,19),(61,141),(62,93),(62,145),(63,81),(63,165),(64,49),(64,142),(65,50),(65,146),(66,47),(66,169),(67,51),(68,97),(68,168),(69,57),(69,142),(70,113),(70,162),(71,45),(71,158),(71,166),(72,80),(72,159),(73,41),(73,155),(73,170),(74,35),(74,168),(75,77),(75,158),(76,65),(77,69),(77,138),(78,46),(78,139),(78,172),(79,89),(79,134),(80,44),(80,130),(80,166),(81,33),(81,135),(82,36),(82,129),(83,68),(83,132),(84,96),(84,130),(85,78),(85,130),(85,158),(86,38),(86,131),(86,136),(87,15),(87,68),(88,12),(88,110),(88,163),(89,112),(90,76),(91,87),(92,102),(93,36),(93,140),(94,33),(94,140),(95,43),(95,133),(96,21),(96,111),(97,11),(97,62),(97,160),(98,14),(98,84),(98,161),(99,10),(99,124),(100,59),(100,72),(101,73),(101,102),(102,41),(102,58),(103,42),(103,98),(104,42),(104,60),(105,64),(105,69),(106,53),(106,81),(107,40),(107,70),(107,134),(108,39),(108,88),(108,134),(109,37),(109,73),(109,131),(110,86),(110,119),(110,167),(111,74),(111,118),(112,54),(112,86),(113,101),(113,109),(114,79),(114,107),(115,43),(115,66),(116,83),(116,87),(117,71),(117,75),(117,159),(118,34),(118,35),(118,144),(119,37),(119,38),(119,133),(120,55),(120,82),(121,34),(121,48),(121,141),(122,17),(122,100),(122,124),(123,25),(123,103),(123,104),(124,72),(124,117),(124,128),(125,39),(125,40),(125,56),(126,44),(126,45),(126,78),(127,30),(127,107),(127,108),(127,125),(128,71),(128,80),(128,85),(128,126),(129,51),(130,111),(130,172),(131,155),(131,171),(132,168),(133,156),(133,169),(133,170),(134,110),(134,112),(134,149),(135,50),(135,154),(136,47),(136,155),(136,156),(137,49),(137,157),(138,121),(138,142),(138,157),(139,61),(139,157),(140,146),(140,154),(141,120),(141,152),(141,164),(142,48),(142,144),(142,151),(143,53),(143,165),(144,148),(144,153),(145,140),(146,150),(147,145),(148,9),(148,174),(149,54),(149,167),(150,52),(151,152),(151,153),(152,55),(152,174),(153,174),(154,150),(155,147),(155,173),(156,143),(156,173),(157,141),(157,151),(158,13),(158,138),(158,139),(159,77),(159,105),(159,166),(160,94),(160,145),(161,91),(161,116),(162,92),(162,101),(163,95),(163,115),(163,167),(164,82),(164,174),(165,65),(165,135),(166,64),(166,137),(166,138),(167,66),(167,133),(167,136),(168,62),(169,63),(169,106),(169,143),(170,63),(170,173),(171,90),(171,173),(172,74),(172,132),(173,76),(173,165),(174,67),(174,129)],175)
[[1,1,1],[2],[5]]=>([(0,2),(2,1)],3)
[[1,1,1],[3],[5]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1],[4],[5]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2],[2],[5]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,2],[3],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,3],[2],[5]]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
[[1,1,5],[2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2],[4],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,4],[2],[5]]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
[[1,1,5],[2],[4]]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
[[1,1,5],[2],[5]]=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
[[1,1,3],[3],[5]]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
[[1,1,3],[4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,4],[3],[5]]=>([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12)
[[1,1,5],[3],[4]]=>([(0,4),(0,7),(1,9),(2,10),(3,9),(3,10),(4,11),(5,8),(6,1),(7,5),(7,11),(8,2),(8,3),(9,12),(10,12),(11,6)],13)
[[1,1,5],[3],[5]]=>([(0,5),(0,8),(1,12),(2,14),(3,10),(4,10),(4,14),(5,11),(6,9),(7,3),(8,6),(8,11),(9,2),(9,4),(10,13),(11,7),(13,12),(14,1),(14,13)],15)
[[1,1,4],[4],[5]]=>([(0,5),(0,7),(2,10),(3,12),(4,8),(5,9),(6,4),(6,11),(7,2),(7,9),(8,12),(9,6),(9,10),(10,11),(11,3),(11,8),(12,1)],13)
[[1,1,5],[4],[5]]=>([(0,10),(0,11),(1,13),(1,14),(2,21),(3,20),(4,14),(4,20),(5,17),(6,16),(7,18),(8,12),(9,1),(9,22),(10,5),(10,15),(11,8),(11,15),(12,3),(12,4),(13,21),(14,19),(15,9),(15,17),(17,22),(18,16),(19,18),(20,7),(20,19),(21,6),(22,2),(22,13)],23)
[[1,2,2],[2],[5]]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[[1,2,2],[3],[5]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,3],[2],[5]]=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)
[[1,2,5],[2],[3]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,2],[4],[5]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,4],[2],[5]]=>([(0,4),(0,5),(1,10),(2,12),(3,13),(4,2),(4,11),(5,3),(5,11),(6,8),(6,9),(7,14),(8,14),(9,1),(9,14),(11,6),(11,12),(11,13),(12,7),(12,8),(13,7),(13,9),(14,10)],15)
[[1,2,5],[2],[4]]=>([(0,6),(1,8),(2,7),(2,10),(3,7),(3,9),(4,5),(4,8),(5,2),(5,3),(5,11),(6,1),(6,4),(7,12),(8,11),(9,12),(10,12),(11,9),(11,10)],13)
[[1,2,5],[2],[5]]=>([(0,7),(1,9),(2,8),(3,11),(3,13),(4,10),(4,13),(5,6),(5,9),(6,3),(6,4),(6,12),(7,1),(7,5),(9,12),(10,14),(11,14),(12,10),(12,11),(13,2),(13,14),(14,8)],15)
[[1,2,3],[3],[5]]=>([(0,4),(0,8),(1,9),(1,12),(2,9),(2,13),(3,11),(3,15),(4,10),(5,6),(5,11),(6,1),(6,14),(7,2),(7,16),(8,3),(8,5),(8,10),(9,17),(10,7),(10,15),(11,14),(12,17),(13,17),(14,12),(15,16),(16,13)],18)
[[1,3,3],[2],[5]]=>([(0,4),(0,5),(1,10),(2,12),(3,13),(4,2),(4,11),(5,3),(5,11),(6,8),(6,9),(7,14),(8,14),(9,1),(9,14),(11,6),(11,12),(11,13),(12,7),(12,8),(13,7),(13,9),(14,10)],15)
[[1,3,5],[2],[3]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,3],[4],[5]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2,4],[3],[5]]=>([(0,5),(0,6),(1,17),(2,9),(2,19),(3,4),(3,18),(4,8),(4,13),(5,16),(6,3),(6,7),(6,16),(7,14),(7,18),(8,10),(8,11),(9,11),(9,15),(10,20),(11,20),(13,10),(14,19),(15,17),(15,20),(16,2),(16,14),(17,12),(18,13),(19,1),(19,15),(20,12)],21)
[[1,2,5],[3],[4]]=>([(0,9),(0,10),(1,14),(2,13),(3,12),(3,14),(4,12),(4,13),(5,8),(6,3),(7,11),(8,1),(9,5),(9,18),(10,7),(10,18),(11,2),(11,4),(12,15),(12,16),(13,15),(14,16),(15,17),(16,17),(18,6)],19)
[[1,3,4],[2],[5]]=>([(0,5),(0,6),(1,16),(2,15),(3,12),(4,13),(5,2),(5,14),(6,1),(6,14),(7,10),(7,11),(9,17),(10,3),(10,17),(11,4),(11,17),(12,8),(13,8),(14,7),(14,15),(14,16),(15,9),(15,10),(16,9),(16,11),(17,12),(17,13)],18)
[[1,3,5],[2],[4]]=>([(0,5),(0,6),(1,13),(2,17),(3,4),(3,18),(4,8),(4,9),(4,19),(5,16),(6,3),(6,7),(6,16),(7,14),(7,18),(8,11),(8,15),(9,10),(9,11),(10,20),(11,20),(13,2),(14,13),(15,17),(15,20),(16,1),(16,14),(17,12),(18,19),(19,10),(19,15),(20,12)],21)
[[1,4,5],[2],[3]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2,5],[3],[5]]=>([(0,10),(0,11),(1,13),(2,13),(2,15),(3,14),(4,14),(4,15),(5,16),(6,8),(7,12),(8,1),(9,2),(10,6),(10,21),(11,7),(11,21),(12,3),(12,4),(13,20),(14,5),(14,19),(15,19),(15,20),(16,17),(18,17),(19,16),(19,18),(20,18),(21,9)],22)
[[1,3,5],[2],[5]]=>([(0,6),(0,7),(1,21),(2,14),(3,19),(4,5),(4,20),(5,9),(5,10),(5,22),(6,18),(7,4),(7,8),(7,18),(8,15),(8,20),(9,13),(9,16),(10,12),(10,13),(12,23),(13,1),(13,23),(14,3),(15,14),(16,19),(16,23),(17,11),(18,2),(18,15),(19,17),(20,22),(21,11),(22,12),(22,16),(23,17),(23,21)],24)
[[1,5,5],[2],[3]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,2,4],[4],[5]]=>([(0,6),(0,7),(1,21),(2,13),(3,10),(3,20),(4,5),(4,19),(5,9),(5,14),(6,18),(7,4),(7,8),(7,18),(8,15),(8,19),(9,11),(9,12),(10,12),(10,16),(11,22),(12,22),(14,11),(15,20),(16,21),(16,22),(17,13),(18,3),(18,15),(19,14),(20,1),(20,16),(21,2),(21,17),(22,17)],23)
[[1,4,4],[2],[5]]=>([(0,6),(0,7),(2,17),(3,16),(4,13),(5,14),(6,3),(6,15),(7,2),(7,15),(8,11),(8,12),(9,1),(10,18),(11,4),(11,18),(12,5),(12,18),(13,9),(14,9),(15,8),(15,16),(15,17),(16,10),(16,11),(17,10),(17,12),(18,13),(18,14)],19)
[[1,4,5],[2],[4]]=>([(0,8),(1,15),(2,10),(3,12),(4,11),(5,6),(5,15),(6,4),(6,9),(7,2),(7,13),(8,1),(8,5),(9,11),(9,12),(11,14),(12,7),(12,14),(13,10),(14,13),(15,3),(15,9)],16)
[[1,2,5],[4],[5]]=>([(0,9),(0,10),(1,2),(2,3),(2,12),(3,31),(4,34),(5,28),(6,8),(6,29),(7,15),(7,30),(8,13),(8,21),(9,1),(9,27),(10,6),(10,11),(10,27),(11,25),(11,29),(12,31),(12,33),(13,16),(13,26),(14,18),(14,19),(15,24),(15,26),(15,33),(16,36),(17,35),(18,35),(19,35),(20,22),(21,16),(22,17),(23,18),(24,28),(24,36),(25,30),(26,20),(26,36),(27,7),(27,25),(28,14),(28,23),(29,21),(30,5),(30,24),(31,4),(31,32),(32,22),(32,34),(33,20),(33,32),(34,17),(34,19),(36,23)],37)
[[1,4,5],[2],[5]]=>([(0,7),(0,8),(1,27),(2,28),(3,20),(4,6),(4,26),(5,32),(6,12),(6,13),(6,29),(7,5),(7,30),(8,4),(8,10),(8,30),(9,22),(9,25),(10,26),(10,31),(11,16),(11,18),(12,19),(12,23),(13,15),(13,19),(14,33),(15,34),(16,9),(16,33),(17,3),(18,2),(18,33),(19,1),(19,34),(21,20),(22,24),(23,22),(23,34),(24,21),(25,17),(26,29),(27,21),(28,17),(29,15),(29,23),(30,11),(30,31),(30,32),(31,14),(31,16),(32,14),(32,18),(33,25),(33,28),(34,24),(34,27)],35)
[[1,5,5],[2],[4]]=>([(0,9),(1,10),(2,17),(3,14),(4,13),(5,12),(6,7),(6,17),(7,5),(7,11),(8,1),(8,16),(9,2),(9,6),(10,13),(11,12),(11,14),(12,15),(14,8),(14,15),(15,16),(16,4),(16,10),(17,3),(17,11)],18)
[[1,5,5],[2],[5]]=>([(0,10),(1,14),(3,13),(4,18),(5,17),(6,12),(7,8),(7,17),(8,3),(8,11),(9,6),(9,16),(10,5),(10,7),(11,13),(11,14),(12,18),(13,15),(14,9),(14,15),(15,16),(16,4),(16,12),(17,1),(17,11),(18,2)],19)
[[1,3,3],[3],[5]]=>([(0,5),(0,6),(1,14),(2,15),(3,4),(3,12),(4,8),(5,1),(5,13),(6,2),(6,13),(7,10),(7,11),(9,16),(10,16),(11,3),(11,16),(12,8),(13,7),(13,14),(13,15),(14,9),(14,10),(15,9),(15,11),(16,12)],17)
[[1,3,3],[4],[5]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,3,4],[3],[5]]=>([(0,6),(0,7),(1,15),(2,5),(2,19),(3,17),(4,18),(5,14),(6,3),(6,16),(7,4),(7,16),(8,11),(8,12),(10,20),(11,1),(11,20),(12,2),(12,20),(13,9),(14,9),(15,13),(16,8),(16,17),(16,18),(17,10),(17,11),(18,10),(18,12),(19,13),(19,14),(20,15),(20,19)],21)
[[1,3,5],[3],[4]]=>([(0,6),(0,7),(1,5),(1,20),(2,14),(3,4),(3,22),(4,15),(5,8),(5,10),(5,21),(6,19),(7,1),(7,9),(7,19),(8,13),(8,17),(9,16),(9,20),(10,12),(10,13),(12,23),(13,23),(14,3),(15,11),(16,14),(17,22),(17,23),(18,11),(19,2),(19,16),(20,21),(21,12),(21,17),(22,15),(22,18),(23,18)],24)
[[1,3,5],[3],[5]]=>([(0,7),(0,8),(1,23),(2,6),(2,22),(3,15),(4,5),(4,26),(5,16),(6,9),(6,10),(6,24),(7,21),(8,2),(8,11),(8,21),(9,14),(9,20),(10,13),(10,14),(11,19),(11,22),(13,27),(14,1),(14,27),(15,4),(16,17),(17,12),(18,12),(19,15),(20,26),(20,27),(21,3),(21,19),(22,24),(23,18),(24,13),(24,20),(25,17),(25,18),(26,16),(26,25),(27,23),(27,25)],28)
[[1,3,4],[4],[5]]=>([(0,9),(0,10),(1,26),(2,16),(3,23),(4,25),(5,13),(5,24),(6,8),(6,27),(7,15),(8,12),(8,28),(9,22),(10,6),(10,11),(10,22),(11,18),(11,27),(12,14),(12,20),(13,14),(13,19),(14,29),(16,7),(17,16),(18,24),(19,25),(19,29),(20,17),(20,29),(21,23),(22,5),(22,18),(23,15),(24,4),(24,19),(25,3),(25,21),(26,2),(26,17),(27,1),(27,28),(28,20),(28,26),(29,21)],30)
[[1,4,4],[3],[5]]=>([(0,7),(0,8),(1,17),(2,13),(3,6),(3,21),(4,19),(5,20),(6,14),(7,4),(7,18),(8,5),(8,18),(9,11),(9,12),(10,22),(11,1),(11,22),(12,3),(12,22),(14,15),(15,13),(16,2),(16,15),(17,16),(18,9),(18,19),(18,20),(19,10),(19,11),(20,10),(20,12),(21,14),(21,16),(22,17),(22,21)],23)
[[1,4,5],[3],[4]]=>([(0,8),(0,9),(1,7),(1,27),(2,26),(3,18),(4,13),(4,25),(5,6),(5,29),(6,28),(7,10),(7,11),(7,30),(8,24),(9,1),(9,12),(9,24),(10,14),(10,22),(11,14),(11,23),(12,21),(12,27),(13,15),(13,17),(14,32),(15,31),(16,31),(17,31),(18,5),(19,25),(20,16),(21,18),(22,19),(22,32),(23,29),(23,32),(24,3),(24,21),(25,15),(26,4),(26,19),(27,2),(27,30),(28,16),(28,17),(29,20),(29,28),(30,22),(30,23),(30,26),(32,20)],33)
[[1,3,5],[4],[5]]=>([(0,12),(0,13),(1,2),(2,4),(2,16),(3,36),(4,37),(5,42),(6,34),(7,22),(8,33),(9,11),(9,38),(10,18),(10,35),(11,17),(11,40),(12,1),(12,32),(13,9),(13,15),(13,32),(14,20),(14,31),(15,28),(15,38),(16,37),(16,41),(17,29),(17,30),(18,27),(18,30),(18,41),(19,43),(20,43),(22,8),(23,26),(24,22),(25,31),(26,19),(27,34),(27,44),(28,35),(29,24),(29,44),(30,23),(30,44),(31,33),(31,43),(32,10),(32,28),(33,21),(34,14),(34,25),(35,6),(35,27),(36,7),(36,24),(37,5),(37,39),(38,3),(38,40),(39,26),(39,42),(40,29),(40,36),(41,23),(41,39),(42,19),(42,20),(43,21),(44,25)],45)
[[1,4,5],[3],[5]]=>([(0,6),(0,7),(1,30),(2,31),(3,5),(3,29),(4,39),(5,11),(5,12),(5,32),(6,4),(6,34),(7,3),(7,9),(7,34),(8,14),(8,36),(8,38),(9,29),(9,35),(10,20),(10,21),(11,22),(11,28),(12,19),(12,22),(13,16),(13,17),(14,23),(14,24),(15,40),(16,40),(17,40),(18,42),(19,41),(20,8),(20,42),(21,2),(21,42),(22,1),(22,41),(23,25),(24,26),(25,15),(26,17),(27,13),(27,26),(28,36),(28,41),(29,32),(30,33),(31,27),(32,19),(32,28),(33,15),(33,16),(34,10),(34,35),(34,39),(35,18),(35,20),(36,23),(36,37),(37,25),(37,33),(38,24),(38,27),(39,18),(39,21),(41,30),(41,37),(42,31),(42,38)],43)
[[1,5,5],[3],[4]]=>([(0,9),(0,10),(1,29),(2,8),(2,30),(3,27),(4,19),(5,14),(5,28),(6,7),(6,32),(7,31),(8,11),(8,12),(8,33),(9,26),(10,2),(10,13),(10,26),(11,15),(11,23),(12,15),(12,24),(13,22),(13,30),(14,17),(14,25),(15,35),(16,34),(17,34),(19,6),(20,28),(21,16),(22,19),(23,20),(23,35),(24,32),(24,35),(25,27),(25,34),(26,4),(26,22),(27,18),(28,3),(28,25),(29,5),(29,20),(30,1),(30,33),(31,16),(31,17),(32,21),(32,31),(33,23),(33,24),(33,29),(34,18),(35,21)],36)
[[1,5,5],[3],[5]]=>([(0,10),(0,11),(1,31),(2,20),(3,9),(3,32),(4,30),(5,19),(6,15),(6,29),(7,8),(7,34),(8,33),(9,12),(9,13),(9,35),(10,28),(11,3),(11,14),(11,28),(12,18),(12,24),(13,18),(13,25),(14,22),(14,32),(15,17),(15,23),(16,37),(17,37),(18,36),(20,7),(21,29),(22,20),(23,30),(23,37),(24,21),(24,36),(25,34),(25,36),(26,19),(27,16),(28,2),(28,22),(29,4),(29,23),(30,5),(30,26),(31,6),(31,21),(32,1),(32,35),(33,16),(33,17),(34,27),(34,33),(35,24),(35,25),(35,31),(36,27),(37,26)],38)
[[1,4,4],[4],[5]]=>([(0,8),(0,9),(2,18),(3,14),(4,7),(4,22),(5,20),(6,21),(7,15),(8,5),(8,19),(9,6),(9,19),(10,12),(10,13),(11,23),(12,2),(12,23),(13,4),(13,23),(14,1),(15,16),(16,14),(17,3),(17,16),(18,17),(19,10),(19,20),(19,21),(20,11),(20,12),(21,11),(21,13),(22,15),(22,17),(23,18),(23,22)],24)
[[1,4,5],[4],[5]]=>([(0,7),(0,8),(1,33),(2,32),(3,24),(4,6),(4,31),(5,41),(6,13),(6,14),(6,35),(7,5),(7,36),(8,4),(8,11),(8,36),(9,15),(9,38),(9,40),(10,17),(10,21),(11,31),(11,37),(12,20),(12,22),(13,19),(13,23),(14,23),(14,30),(15,25),(15,26),(16,44),(17,44),(18,43),(19,42),(20,9),(20,43),(21,3),(21,44),(22,2),(22,43),(23,1),(23,42),(25,28),(26,27),(27,21),(28,16),(29,10),(29,27),(30,38),(30,42),(31,35),(32,29),(33,34),(34,16),(34,17),(35,19),(35,30),(36,12),(36,37),(36,41),(37,18),(37,20),(38,25),(38,39),(39,28),(39,34),(40,26),(40,29),(41,18),(41,22),(42,33),(42,39),(43,32),(43,40),(44,24)],45)
[[1,5,5],[4],[5]]=>([(0,11),(0,12),(1,45),(2,42),(3,39),(4,44),(5,40),(6,41),(7,20),(7,43),(8,10),(8,46),(9,54),(10,17),(10,18),(10,55),(11,9),(11,49),(12,8),(12,14),(12,49),(13,26),(13,28),(14,46),(14,51),(15,19),(15,50),(15,53),(16,25),(16,27),(17,29),(17,36),(18,29),(18,37),(19,30),(19,47),(20,24),(20,34),(22,58),(23,59),(24,57),(25,59),(26,15),(26,58),(27,6),(27,59),(28,5),(28,58),(29,2),(29,56),(30,32),(31,43),(32,27),(33,16),(33,32),(34,44),(34,57),(35,23),(35,57),(36,31),(36,56),(37,50),(37,56),(38,39),(39,21),(40,33),(41,21),(42,48),(43,4),(43,34),(44,3),(44,38),(45,7),(45,31),(46,1),(46,55),(47,24),(47,35),(48,23),(48,25),(49,13),(49,51),(49,54),(50,47),(50,52),(51,22),(51,26),(52,35),(52,48),(53,30),(53,33),(54,22),(54,28),(55,36),(55,37),(55,45),(56,42),(56,52),(57,38),(58,40),(58,53),(59,41)],60)
[[2,2,2],[3],[5]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[2,2,2],[4],[5]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[2,2,3],[3],[5]]=>([(0,4),(0,5),(1,9),(1,18),(2,3),(2,19),(3,7),(3,13),(4,17),(5,2),(5,6),(5,17),(6,14),(6,19),(7,8),(7,15),(7,16),(8,10),(8,11),(9,12),(9,16),(10,21),(11,21),(12,20),(13,15),(14,18),(15,11),(15,20),(16,10),(16,20),(17,1),(17,14),(18,12),(19,13),(20,21)],22)
[[2,2,3],[4],[5]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[2,2,4],[3],[5]]=>([(0,5),(0,6),(1,21),(2,10),(2,23),(3,4),(3,22),(4,8),(4,14),(5,20),(6,3),(6,7),(6,20),(7,17),(7,22),(8,9),(8,18),(8,19),(9,11),(9,12),(10,15),(10,19),(11,24),(12,24),(14,18),(15,21),(15,25),(16,13),(17,23),(18,12),(18,25),(19,11),(19,25),(20,2),(20,17),(21,16),(22,14),(23,1),(23,15),(24,13),(25,16),(25,24)],26)
[[2,2,5],[3],[4]]=>([(0,10),(0,11),(1,16),(2,13),(2,15),(3,14),(4,14),(4,15),(5,8),(6,5),(7,12),(8,1),(8,13),(9,2),(10,6),(10,22),(11,7),(11,22),(12,3),(12,4),(13,16),(13,21),(14,19),(15,19),(15,21),(16,20),(18,17),(19,18),(20,17),(21,18),(21,20),(22,9)],23)
[[2,2,5],[3],[5]]=>([(0,11),(0,12),(1,18),(2,14),(2,16),(3,15),(4,15),(4,16),(5,17),(6,9),(7,6),(8,13),(9,1),(9,14),(10,2),(11,7),(11,26),(12,8),(12,26),(13,3),(13,4),(14,18),(14,25),(15,5),(15,22),(16,22),(16,25),(17,23),(18,20),(20,21),(21,19),(22,17),(22,24),(23,19),(24,21),(24,23),(25,20),(25,24),(26,10)],27)
[[2,2,4],[4],[5]]=>([(0,6),(0,7),(1,25),(2,22),(3,11),(3,24),(4,5),(4,23),(5,9),(5,15),(6,21),(7,4),(7,8),(7,21),(8,17),(8,23),(9,10),(9,19),(9,20),(10,13),(10,14),(11,18),(11,20),(13,28),(14,28),(15,19),(16,12),(17,24),(18,25),(18,27),(19,14),(19,27),(20,13),(20,27),(21,3),(21,17),(22,12),(23,15),(24,1),(24,18),(25,2),(25,26),(26,16),(26,22),(27,26),(27,28),(28,16)],29)
[[2,2,5],[4],[5]]=>([(0,9),(0,10),(1,2),(2,3),(2,12),(3,35),(4,42),(5,32),(6,8),(6,33),(7,16),(7,34),(8,14),(8,21),(9,1),(9,31),(10,6),(10,11),(10,31),(11,26),(11,33),(12,35),(12,39),(13,20),(13,30),(14,15),(14,29),(14,40),(15,19),(15,22),(16,28),(16,39),(16,40),(17,45),(18,45),(19,46),(20,43),(21,29),(22,23),(22,46),(23,25),(24,17),(25,18),(26,34),(27,18),(27,43),(28,32),(28,44),(29,19),(29,44),(30,17),(30,43),(31,7),(31,26),(32,13),(32,41),(33,21),(34,5),(34,28),(35,4),(35,37),(36,23),(36,38),(37,38),(37,42),(38,25),(38,27),(39,36),(39,37),(40,22),(40,36),(40,44),(41,24),(41,30),(42,20),(42,27),(43,45),(44,41),(44,46),(46,24)],47)
[[2,3,3],[3],[5]]=>([(0,5),(0,6),(1,12),(1,24),(2,4),(2,25),(3,28),(4,8),(4,19),(5,3),(5,26),(6,2),(6,7),(6,26),(7,25),(7,27),(8,11),(8,20),(8,22),(9,10),(9,18),(9,21),(10,13),(10,20),(11,15),(11,23),(12,16),(12,17),(13,29),(14,32),(15,31),(16,30),(17,30),(18,1),(18,32),(19,22),(20,23),(20,29),(21,13),(21,32),(22,15),(22,29),(23,16),(23,31),(24,17),(25,19),(26,9),(26,27),(26,28),(27,14),(27,21),(28,14),(28,18),(29,31),(31,30),(32,24)],33)
[[2,3,3],[4],[5]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[2,3,4],[3],[5]]=>([(0,5),(0,6),(1,4),(1,29),(2,33),(3,9),(3,32),(4,7),(4,20),(5,2),(5,34),(6,1),(6,10),(6,34),(7,13),(7,27),(7,28),(8,25),(8,26),(9,19),(9,30),(10,29),(10,35),(11,12),(11,18),(11,31),(12,22),(12,27),(13,14),(13,21),(14,36),(15,40),(16,37),(17,37),(18,3),(18,40),(19,38),(20,28),(21,19),(21,36),(22,25),(22,39),(23,17),(24,16),(25,23),(26,24),(27,21),(27,39),(28,14),(28,39),(29,20),(30,16),(30,38),(31,8),(31,22),(31,40),(32,24),(32,30),(33,15),(33,18),(34,11),(34,33),(34,35),(35,15),(35,31),(36,17),(36,38),(38,37),(39,23),(39,36),(40,26),(40,32)],41)
[[2,3,5],[3],[4]]=>([(0,9),(0,10),(1,2),(2,6),(3,8),(3,30),(4,13),(4,20),(5,14),(5,35),(6,7),(6,36),(7,33),(8,11),(8,15),(8,32),(9,1),(9,29),(10,3),(10,12),(10,29),(11,18),(11,26),(12,25),(12,30),(13,34),(13,36),(14,19),(14,27),(15,24),(15,26),(15,34),(16,38),(17,38),(18,39),(19,37),(20,5),(21,23),(22,17),(23,16),(24,35),(24,39),(25,20),(26,21),(26,39),(27,17),(27,37),(28,16),(28,37),(29,4),(29,25),(30,32),(31,23),(31,28),(32,18),(32,24),(33,19),(33,28),(34,21),(34,31),(35,22),(35,27),(36,31),(36,33),(37,38),(39,22)],40)
[[2,3,5],[3],[5]]=>([(0,9),(0,10),(1,2),(2,6),(3,8),(3,34),(4,15),(4,42),(5,14),(5,21),(6,7),(6,43),(7,40),(8,12),(8,16),(8,37),(9,1),(9,33),(10,3),(10,13),(10,33),(11,28),(11,29),(12,18),(12,30),(13,27),(13,34),(14,41),(14,43),(15,17),(15,22),(16,26),(16,30),(16,41),(17,44),(18,47),(19,45),(20,45),(21,4),(22,32),(22,44),(23,20),(24,19),(25,31),(25,44),(26,42),(26,47),(27,21),(28,23),(29,24),(30,11),(30,36),(30,47),(31,19),(31,46),(32,20),(32,46),(33,5),(33,27),(34,37),(35,25),(35,39),(36,29),(36,39),(37,18),(37,26),(38,23),(38,32),(39,24),(39,31),(40,17),(40,25),(41,35),(41,36),(42,22),(42,38),(43,35),(43,40),(44,46),(46,45),(47,28),(47,38)],48)
[[2,3,4],[4],[5]]=>([(0,8),(0,9),(1,30),(2,27),(3,36),(4,29),(5,14),(5,28),(6,7),(6,31),(7,11),(7,33),(8,26),(9,6),(9,10),(9,26),(10,23),(10,31),(11,13),(11,25),(11,34),(12,17),(12,18),(13,15),(13,19),(14,24),(14,25),(15,39),(16,38),(17,38),(18,38),(19,21),(19,39),(20,16),(21,22),(22,17),(23,28),(24,29),(24,37),(25,15),(25,37),(26,5),(26,23),(27,12),(27,22),(28,4),(28,24),(29,3),(29,35),(30,2),(30,32),(31,1),(31,33),(32,21),(32,27),(33,30),(33,34),(34,19),(34,32),(34,37),(35,20),(35,36),(36,16),(36,18),(37,35),(37,39),(39,20)],40)
[[2,4,4],[3],[5]]=>([(0,6),(0,7),(1,33),(2,14),(2,37),(3,5),(3,34),(4,38),(5,10),(5,22),(6,4),(6,35),(7,3),(7,9),(7,35),(8,25),(8,26),(9,34),(9,36),(10,13),(10,27),(10,28),(11,12),(11,20),(11,29),(12,23),(12,27),(13,16),(13,21),(14,17),(14,31),(15,43),(16,39),(17,41),(19,40),(20,2),(20,43),(21,17),(21,39),(22,28),(23,25),(23,42),(24,19),(25,24),(26,32),(27,21),(27,42),(28,16),(28,42),(29,8),(29,23),(29,43),(30,33),(30,40),(31,30),(31,41),(32,1),(32,30),(33,18),(34,22),(35,11),(35,36),(35,38),(36,15),(36,29),(37,31),(37,32),(38,15),(38,20),(39,19),(39,41),(40,18),(41,40),(42,24),(42,39),(43,26),(43,37)],44)
[[2,4,5],[3],[4]]=>([(0,11),(0,12),(1,2),(2,5),(3,10),(3,37),(4,38),(5,9),(5,44),(6,16),(6,36),(7,15),(7,24),(8,17),(8,43),(9,40),(10,13),(10,18),(10,45),(11,1),(11,35),(12,3),(12,14),(12,35),(13,29),(13,31),(14,27),(14,37),(15,41),(15,44),(16,22),(16,34),(17,21),(17,42),(18,31),(18,32),(18,41),(19,48),(20,46),(20,48),(21,47),(22,46),(23,49),(24,8),(25,30),(26,36),(27,24),(28,20),(29,26),(29,50),(30,19),(31,25),(31,50),(32,43),(32,50),(33,19),(33,47),(34,23),(34,46),(35,7),(35,27),(36,22),(37,4),(37,45),(38,6),(38,26),(39,30),(39,33),(40,21),(40,33),(41,25),(41,39),(42,20),(42,34),(42,47),(43,28),(43,42),(44,39),(44,40),(45,29),(45,32),(45,38),(46,49),(47,23),(47,48),(48,49),(50,28)],51)
[[2,3,5],[4],[5]]=>([(0,11),(0,12),(1,2),(2,5),(2,14),(3,38),(4,40),(5,41),(6,53),(7,37),(8,10),(8,42),(9,19),(9,39),(10,15),(10,46),(11,1),(11,36),(12,8),(12,13),(12,36),(13,32),(13,42),(14,41),(14,48),(15,18),(15,50),(15,51),(16,22),(16,35),(17,23),(17,49),(18,25),(18,26),(19,34),(19,48),(19,51),(20,57),(21,55),(21,57),(22,55),(23,56),(24,58),(25,29),(25,59),(26,28),(26,59),(27,21),(28,30),(29,31),(30,20),(31,22),(32,39),(33,20),(33,56),(34,37),(34,54),(35,24),(35,55),(36,9),(36,32),(37,17),(37,52),(38,16),(38,31),(39,7),(39,34),(40,3),(40,43),(41,6),(41,45),(42,4),(42,46),(43,29),(43,38),(44,28),(44,47),(45,47),(45,53),(46,40),(46,50),(47,30),(47,33),(48,44),(48,45),(49,21),(49,35),(49,56),(50,25),(50,43),(50,54),(51,26),(51,44),(51,54),(52,27),(52,49),(53,23),(53,33),(54,52),(54,59),(55,58),(56,24),(56,57),(57,58),(59,27)],60)
[[2,4,5],[3],[5]]=>([(0,5),(0,6),(1,4),(1,49),(2,3),(2,48),(3,11),(3,30),(4,7),(4,17),(4,52),(5,2),(5,13),(5,60),(6,1),(6,12),(6,60),(7,28),(7,51),(8,43),(8,47),(9,42),(9,46),(10,27),(10,44),(11,16),(11,45),(11,65),(12,49),(12,62),(13,48),(13,61),(14,18),(14,29),(14,50),(15,19),(15,63),(15,64),(16,20),(16,56),(17,32),(17,51),(17,59),(18,36),(18,59),(18,65),(19,24),(19,35),(19,40),(20,68),(21,75),(22,70),(23,66),(23,70),(24,67),(24,71),(25,73),(26,69),(27,66),(28,76),(29,15),(29,75),(30,45),(31,26),(32,64),(32,76),(33,38),(33,67),(34,22),(35,39),(35,67),(36,42),(36,74),(37,44),(37,69),(38,22),(38,72),(39,23),(39,72),(40,37),(40,71),(41,10),(41,37),(42,31),(43,58),(44,25),(44,66),(45,20),(45,74),(46,41),(47,34),(48,30),(49,52),(50,9),(50,36),(50,75),(51,8),(51,53),(51,76),(52,28),(52,32),(53,47),(53,57),(54,33),(54,57),(55,39),(55,58),(56,24),(56,33),(56,68),(57,34),(57,38),(58,23),(58,27),(59,53),(59,54),(60,14),(60,61),(60,62),(61,21),(61,50),(62,21),(62,29),(63,40),(63,41),(64,35),(64,55),(65,54),(65,56),(65,74),(66,73),(67,72),(68,26),(68,71),(69,25),(70,73),(71,69),(72,70),(74,31),(74,68),(75,46),(75,63),(76,43),(76,55)],77)
[[2,5,5],[3],[4]]=>([(0,12),(0,13),(1,2),(2,6),(3,42),(4,11),(4,41),(5,39),(6,10),(6,48),(7,17),(7,40),(8,16),(8,25),(9,18),(9,47),(10,44),(11,14),(11,19),(11,49),(12,1),(12,38),(13,4),(13,15),(13,38),(14,30),(14,34),(15,29),(15,41),(16,46),(16,48),(17,36),(17,37),(18,20),(18,45),(19,34),(19,35),(19,46),(20,50),(21,52),(22,52),(22,54),(24,51),(25,9),(26,32),(27,23),(28,40),(29,25),(30,28),(30,53),(31,22),(32,21),(33,21),(33,50),(34,26),(34,53),(35,47),(35,53),(36,24),(36,54),(37,39),(37,54),(38,8),(38,29),(39,27),(40,5),(40,37),(41,3),(41,49),(42,7),(42,28),(43,32),(43,33),(44,20),(44,33),(45,22),(45,36),(45,50),(46,26),(46,43),(47,31),(47,45),(48,43),(48,44),(49,30),(49,35),(49,42),(50,24),(50,52),(51,23),(52,51),(53,31),(54,27),(54,51)],55)
[[2,5,5],[3],[5]]=>([(0,13),(0,14),(1,2),(2,7),(3,44),(4,12),(4,43),(5,40),(6,42),(7,11),(7,51),(8,19),(8,41),(9,17),(9,26),(10,18),(10,50),(11,46),(12,15),(12,20),(12,52),(13,1),(13,39),(14,4),(14,16),(14,39),(15,31),(15,34),(16,29),(16,43),(17,47),(17,51),(18,24),(18,48),(19,37),(19,38),(20,34),(20,35),(20,47),(21,55),(23,53),(23,55),(24,54),(25,57),(26,10),(27,33),(28,41),(29,26),(30,23),(31,28),(31,56),(32,22),(33,21),(34,27),(34,56),(35,50),(35,56),(36,21),(36,54),(37,25),(37,53),(38,42),(38,53),(39,9),(39,29),(40,22),(41,6),(41,38),(42,5),(42,49),(43,3),(43,52),(44,8),(44,28),(45,33),(45,36),(46,24),(46,36),(47,27),(47,45),(48,23),(48,37),(48,54),(49,32),(49,40),(50,30),(50,48),(51,45),(51,46),(52,31),(52,35),(52,44),(53,49),(53,57),(54,25),(54,55),(55,57),(56,30),(57,32)],58)
[[2,4,4],[4],[5]]=>([(0,7),(0,8),(1,36),(2,21),(3,15),(3,40),(4,6),(4,35),(5,39),(6,11),(6,22),(7,5),(7,37),(8,4),(8,10),(8,37),(9,25),(9,33),(10,35),(10,38),(11,14),(11,28),(11,29),(12,13),(12,20),(12,30),(13,26),(13,28),(14,16),(14,24),(15,17),(15,23),(16,42),(17,41),(18,45),(19,44),(20,3),(20,44),(22,29),(23,27),(23,41),(24,17),(24,42),(25,31),(26,25),(26,43),(27,36),(27,45),(28,24),(28,43),(29,16),(29,43),(30,9),(30,26),(30,44),(31,18),(32,21),(33,34),(34,1),(34,27),(35,22),(36,2),(36,32),(37,12),(37,38),(37,39),(38,19),(38,30),(39,19),(39,20),(40,23),(40,34),(41,45),(42,18),(42,41),(43,31),(43,42),(44,33),(44,40),(45,32)],46)
[[2,4,5],[4],[5]]=>([(0,5),(0,6),(1,4),(1,51),(2,3),(2,50),(3,12),(3,34),(4,7),(4,18),(4,55),(5,2),(5,14),(5,63),(6,1),(6,13),(6,63),(7,28),(7,54),(8,29),(8,30),(9,45),(9,48),(10,46),(10,49),(11,27),(11,52),(12,17),(12,47),(12,68),(13,51),(13,65),(14,50),(14,64),(15,19),(15,31),(15,53),(16,20),(16,66),(16,67),(17,21),(17,59),(18,36),(18,54),(18,62),(19,40),(19,62),(19,68),(20,25),(20,39),(20,43),(21,71),(22,78),(23,74),(24,69),(24,74),(25,70),(25,72),(26,80),(27,69),(28,79),(29,73),(30,73),(31,16),(31,78),(32,29),(32,76),(33,52),(33,80),(34,47),(35,26),(36,67),(36,79),(37,41),(37,70),(38,23),(39,42),(39,70),(40,45),(40,77),(41,23),(41,75),(42,24),(42,75),(43,33),(43,72),(44,11),(44,33),(45,35),(46,61),(47,21),(47,77),(48,44),(49,38),(50,34),(51,55),(52,8),(52,32),(52,69),(53,9),(53,40),(53,78),(54,10),(54,56),(54,79),(55,28),(55,36),(56,49),(56,60),(57,37),(57,60),(58,42),(58,61),(59,25),(59,37),(59,71),(60,38),(60,41),(61,24),(61,27),(62,56),(62,57),(63,15),(63,64),(63,65),(64,22),(64,53),(65,22),(65,31),(66,43),(66,44),(67,39),(67,58),(68,57),(68,59),(68,77),(69,30),(69,76),(70,75),(71,26),(71,72),(72,80),(74,76),(75,74),(76,73),(77,35),(77,71),(78,48),(78,66),(79,46),(79,58),(80,32)],81)
[[2,5,5],[4],[5]]=>([(0,9),(0,10),(1,49),(2,77),(3,48),(4,8),(4,64),(5,7),(5,63),(6,15),(6,47),(7,17),(7,40),(8,11),(8,23),(8,85),(9,5),(9,19),(9,79),(10,4),(10,18),(10,79),(11,61),(11,68),(12,36),(12,65),(13,56),(13,60),(14,55),(14,62),(15,57),(15,58),(16,35),(16,66),(17,22),(17,59),(17,84),(18,64),(18,81),(19,63),(19,80),(20,24),(20,37),(20,67),(21,25),(21,82),(21,83),(22,26),(22,72),(23,42),(23,68),(23,76),(24,46),(24,76),(24,84),(25,32),(25,53),(25,75),(26,88),(27,96),(28,90),(29,90),(30,94),(31,94),(31,98),(32,87),(32,89),(33,100),(34,99),(35,98),(36,92),(37,21),(37,96),(38,47),(39,66),(39,100),(40,59),(41,33),(42,83),(42,97),(43,51),(43,87),(44,28),(45,30),(46,56),(46,95),(47,1),(47,58),(48,6),(48,38),(49,2),(49,78),(50,36),(50,91),(51,30),(51,93),(52,31),(52,86),(52,93),(53,39),(53,89),(54,16),(54,39),(55,74),(56,41),(57,34),(57,86),(58,49),(58,86),(59,26),(59,95),(60,54),(61,38),(61,97),(62,45),(63,40),(64,3),(64,85),(65,29),(65,92),(66,12),(66,50),(66,98),(67,13),(67,46),(67,96),(68,14),(68,69),(68,97),(69,62),(69,73),(70,43),(70,73),(71,52),(71,74),(72,32),(72,43),(72,88),(73,45),(73,51),(74,31),(74,35),(75,52),(75,57),(75,87),(76,69),(76,70),(77,28),(77,29),(78,44),(78,77),(79,20),(79,80),(79,81),(80,27),(80,67),(81,27),(81,37),(82,53),(82,54),(83,71),(83,75),(84,70),(84,72),(84,95),(85,42),(85,48),(85,61),(86,78),(86,99),(87,34),(87,93),(88,33),(88,89),(89,100),(91,92),(92,90),(93,94),(93,99),(94,91),(95,41),(95,88),(96,60),(96,82),(97,55),(97,71),(98,65),(98,91),(99,44),(100,50)],101)
[[3,3,3],[4],[5]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[3,3,4],[4],[5]]=>([(0,9),(0,10),(1,32),(2,29),(3,38),(4,31),(5,20),(6,15),(6,30),(7,8),(7,33),(8,13),(8,35),(9,28),(10,7),(10,12),(10,28),(11,18),(11,19),(12,25),(12,33),(13,14),(13,27),(13,36),(14,16),(14,22),(15,26),(15,27),(16,41),(17,40),(18,40),(19,5),(19,40),(21,19),(22,23),(22,41),(23,21),(24,17),(25,30),(26,31),(26,39),(27,16),(27,39),(28,6),(28,25),(29,11),(29,21),(30,4),(30,26),(31,3),(31,37),(32,2),(32,34),(33,1),(33,35),(34,23),(34,29),(35,32),(35,36),(36,22),(36,34),(36,39),(37,24),(37,38),(38,17),(38,18),(39,37),(39,41),(40,20),(41,24)],42)
[[3,3,5],[4],[5]]=>([(0,12),(0,13),(1,2),(2,6),(2,17),(3,41),(4,43),(5,39),(6,44),(7,56),(8,40),(9,11),(9,45),(10,20),(10,42),(11,18),(11,49),(12,1),(12,38),(13,9),(13,16),(13,38),(14,23),(14,53),(15,26),(15,35),(16,34),(16,45),(17,44),(17,51),(18,19),(18,52),(18,54),(19,27),(19,28),(20,37),(20,51),(20,54),(21,60),(22,60),(22,61),(23,58),(24,59),(26,5),(26,61),(27,31),(27,62),(28,30),(28,62),(29,26),(30,29),(31,33),(32,22),(33,21),(34,42),(35,24),(35,61),(36,21),(36,58),(37,40),(37,57),(38,10),(38,34),(39,25),(40,14),(40,55),(41,15),(41,29),(42,8),(42,37),(43,3),(43,47),(44,7),(44,48),(45,4),(45,49),(46,31),(46,50),(47,30),(47,41),(48,50),(48,56),(49,43),(49,52),(50,33),(50,36),(51,46),(51,48),(52,28),(52,47),(52,57),(53,22),(53,35),(53,58),(54,27),(54,46),(54,57),(55,32),(55,53),(56,23),(56,36),(57,55),(57,62),(58,24),(58,60),(59,25),(60,59),(61,39),(61,59),(62,32)],63)
[[3,4,4],[4],[5]]=>([(0,11),(0,12),(1,43),(2,46),(3,55),(4,45),(5,44),(6,42),(7,20),(7,56),(8,10),(8,47),(9,54),(10,17),(10,49),(11,9),(11,51),(12,8),(12,13),(12,51),(13,47),(13,53),(14,38),(14,41),(15,18),(15,27),(15,36),(16,25),(16,26),(17,19),(17,32),(17,52),(18,30),(18,32),(19,33),(19,34),(20,22),(20,29),(22,58),(23,62),(24,61),(25,62),(26,5),(26,62),(27,7),(27,61),(28,26),(29,35),(29,58),(30,41),(30,57),(31,28),(32,34),(32,57),(33,31),(33,60),(34,22),(34,60),(35,45),(35,59),(36,14),(36,30),(36,61),(37,42),(38,40),(39,23),(39,59),(40,4),(40,35),(41,3),(41,50),(42,21),(43,16),(43,28),(44,21),(45,6),(45,37),(46,1),(46,48),(47,2),(47,49),(48,31),(48,43),(49,46),(49,52),(50,39),(50,55),(51,15),(51,53),(51,54),(52,33),(52,48),(52,57),(53,24),(53,36),(54,24),(54,27),(55,23),(55,25),(56,29),(56,40),(57,50),(57,60),(58,59),(59,37),(60,39),(60,58),(61,38),(61,56),(62,44)],63)
[[3,4,5],[4],[5]]=>([(0,8),(0,9),(1,78),(2,49),(3,56),(4,7),(4,60),(5,6),(5,61),(6,17),(6,71),(7,12),(7,23),(7,70),(8,5),(8,18),(8,79),(9,4),(9,19),(9,79),(10,58),(10,82),(11,37),(11,62),(12,34),(12,65),(13,38),(13,59),(14,36),(14,66),(15,57),(15,64),(16,35),(16,85),(17,22),(17,86),(17,87),(18,61),(18,83),(19,60),(19,84),(20,24),(20,39),(20,63),(21,25),(21,80),(21,81),(22,44),(22,72),(23,47),(23,65),(23,76),(24,53),(24,76),(24,87),(25,31),(25,52),(25,54),(26,102),(27,98),(28,96),(28,97),(29,89),(29,96),(30,92),(30,97),(31,88),(31,90),(32,98),(33,100),(34,101),(35,93),(36,92),(37,1),(37,89),(38,95),(39,21),(39,102),(40,37),(41,59),(41,99),(42,29),(42,103),(43,66),(43,103),(44,45),(44,104),(45,40),(46,30),(46,94),(47,81),(47,101),(48,28),(48,94),(49,3),(49,69),(50,48),(50,88),(51,28),(51,93),(52,46),(52,88),(53,64),(53,91),(54,43),(54,90),(55,14),(55,43),(56,11),(56,40),(57,55),(58,74),(59,27),(59,95),(60,70),(61,2),(61,71),(62,33),(62,89),(63,15),(63,53),(63,102),(64,16),(64,77),(65,10),(65,67),(65,101),(66,13),(66,41),(66,92),(67,75),(67,82),(68,50),(68,75),(69,45),(69,56),(70,34),(70,47),(71,49),(71,86),(72,31),(72,50),(72,104),(73,46),(73,74),(74,30),(74,36),(75,48),(75,51),(76,67),(76,68),(77,42),(77,85),(78,27),(78,32),(79,20),(79,83),(79,84),(80,54),(80,55),(81,52),(81,73),(82,35),(82,51),(83,26),(83,63),(84,26),(84,39),(85,29),(85,62),(85,93),(86,44),(86,69),(86,91),(87,68),(87,72),(87,91),(88,94),(89,78),(89,100),(90,103),(91,77),(91,104),(92,38),(92,99),(93,33),(93,96),(94,97),(95,98),(96,100),(97,99),(99,95),(100,32),(101,58),(101,73),(102,57),(102,80),(103,41),(104,42),(104,90)],105)
[[3,5,5],[4],[5]]=>([(0,12),(0,13),(1,62),(2,95),(3,60),(4,67),(5,61),(6,92),(7,11),(7,75),(8,10),(8,74),(9,19),(9,59),(10,16),(10,28),(10,105),(11,22),(11,83),(12,8),(12,24),(12,96),(13,7),(13,23),(13,96),(14,72),(14,78),(15,76),(15,77),(16,73),(16,81),(17,68),(17,101),(18,45),(18,70),(19,69),(19,71),(20,43),(20,103),(21,44),(21,79),(22,27),(22,102),(22,104),(23,75),(23,97),(24,74),(24,98),(25,29),(25,46),(25,80),(26,30),(26,99),(26,100),(27,49),(27,87),(28,51),(28,81),(28,91),(29,58),(29,91),(29,104),(30,32),(30,57),(30,90),(31,121),(32,108),(32,110),(33,117),(33,124),(34,109),(34,112),(35,113),(36,114),(37,114),(38,112),(38,117),(39,125),(40,119),(41,113),(43,111),(44,124),(45,2),(45,109),(46,26),(46,121),(47,59),(48,45),(49,52),(49,123),(50,79),(50,120),(51,100),(51,122),(52,48),(53,38),(53,111),(54,64),(54,110),(55,36),(56,34),(56,120),(57,50),(57,108),(58,78),(58,106),(59,5),(59,69),(60,9),(60,47),(61,6),(61,93),(62,4),(62,86),(63,77),(63,115),(64,38),(64,116),(65,33),(65,107),(65,116),(66,21),(66,50),(67,18),(67,48),(68,89),(69,61),(69,107),(70,40),(70,109),(71,39),(71,107),(72,66),(73,47),(73,122),(74,3),(74,105),(75,1),(75,83),(76,37),(76,118),(77,35),(77,118),(78,20),(78,94),(79,15),(79,63),(79,124),(80,14),(80,58),(80,121),(81,17),(81,82),(81,122),(82,88),(82,101),(83,62),(83,102),(84,65),(84,89),(85,54),(85,88),(86,52),(86,67),(87,32),(87,54),(87,123),(88,53),(88,64),(89,33),(89,44),(90,65),(90,71),(90,110),(91,82),(91,85),(92,36),(92,37),(93,55),(93,92),(94,56),(94,103),(95,35),(95,41),(96,25),(96,97),(96,98),(97,31),(97,80),(98,31),(98,46),(99,57),(99,66),(100,84),(100,90),(101,43),(101,53),(102,49),(102,86),(102,106),(103,34),(103,70),(103,111),(104,85),(104,87),(104,106),(105,51),(105,60),(105,73),(106,94),(106,123),(107,93),(107,125),(108,120),(109,95),(109,119),(110,39),(110,116),(111,40),(111,112),(112,119),(113,42),(114,42),(115,118),(116,117),(116,125),(117,115),(118,113),(118,114),(119,41),(120,63),(121,72),(121,99),(122,68),(122,84),(123,56),(123,108),(124,76),(124,115),(125,55)],126)
[[1,1],[2,2],[5]]=>([(0,2),(2,1)],3)
[[1,1],[2,3],[5]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1],[2,5],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1],[2,4],[5]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1],[2,5],[4]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1],[2,5],[5]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1],[3,3],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1],[3,4],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1],[3,5],[4]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1],[3,5],[5]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,1],[4,4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1],[4,5],[5]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,2],[2,3],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2],[2,5],[3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2],[2,4],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2],[2,5],[4]]=>([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
[[1,2],[2,5],[5]]=>([(0,6),(1,10),(1,11),(2,9),(2,11),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,9),(7,10),(9,12),(10,12),(11,4),(11,12),(12,8)],13)
[[1,2],[3,3],[5]]=>([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
[[1,3],[2,5],[3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2],[3,4],[5]]=>([(0,6),(1,12),(2,10),(3,7),(3,8),(4,7),(4,9),(5,3),(5,4),(5,12),(6,1),(6,5),(7,13),(8,13),(9,10),(9,13),(10,11),(12,2),(12,8),(12,9),(13,11)],14)
[[1,2],[3,5],[4]]=>([(0,5),(0,6),(1,10),(2,9),(3,9),(3,11),(4,10),(4,11),(5,7),(6,8),(7,2),(7,3),(8,1),(8,4),(9,12),(10,13),(11,12),(11,13),(12,14),(13,14)],15)
[[1,3],[2,4],[5]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,3],[2,5],[4]]=>([(0,6),(1,12),(2,10),(3,7),(3,8),(4,7),(4,9),(5,3),(5,4),(5,12),(6,1),(6,5),(7,13),(8,13),(9,10),(9,13),(10,11),(12,2),(12,8),(12,9),(13,11)],14)
[[1,4],[2,5],[3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2],[3,5],[5]]=>([(0,6),(0,7),(1,12),(2,10),(3,10),(3,11),(4,17),(5,11),(5,17),(6,8),(7,9),(8,2),(8,3),(9,4),(9,5),(10,16),(11,13),(11,16),(12,14),(13,12),(13,15),(15,14),(16,15),(17,1),(17,13)],18)
[[1,3],[2,5],[5]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,15),(5,6),(5,7),(5,15),(6,10),(6,11),(7,9),(7,10),(9,16),(10,2),(10,16),(11,13),(11,16),(12,8),(13,12),(14,8),(15,3),(15,9),(15,11),(16,12),(16,14)],17)
[[1,2],[4,4],[5]]=>([(0,7),(1,12),(2,13),(3,14),(4,8),(4,9),(5,8),(5,10),(6,4),(6,5),(6,13),(7,2),(7,6),(8,15),(9,15),(10,14),(10,15),(11,12),(13,3),(13,9),(13,10),(14,1),(14,11),(15,11)],16)
[[1,4],[2,5],[4]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,2],[4,5],[5]]=>([(0,2),(0,3),(1,7),(1,9),(2,1),(3,4),(3,8),(4,27),(5,26),(6,22),(7,23),(8,11),(8,12),(8,27),(9,23),(9,25),(10,15),(10,16),(11,13),(11,21),(12,20),(12,21),(12,25),(13,29),(14,28),(15,28),(16,28),(17,18),(18,14),(19,15),(20,22),(20,29),(21,17),(21,29),(22,10),(22,19),(23,5),(23,24),(24,18),(24,26),(25,17),(25,24),(26,14),(26,16),(27,6),(27,13),(27,20),(29,19)],30)
[[1,4],[2,5],[5]]=>([(0,2),(1,6),(2,4),(2,5),(3,18),(4,19),(5,8),(5,9),(5,19),(6,12),(7,10),(7,14),(8,11),(8,16),(9,11),(9,15),(10,1),(11,3),(11,20),(13,12),(14,17),(15,14),(15,20),(16,10),(16,20),(17,13),(18,13),(19,7),(19,15),(19,16),(20,17),(20,18)],21)
[[1,3],[3,4],[5]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,3],[3,5],[4]]=>([(0,7),(1,12),(2,13),(3,14),(4,8),(4,9),(5,8),(5,10),(6,4),(6,5),(6,13),(7,2),(7,6),(8,15),(9,15),(10,14),(10,15),(11,12),(13,3),(13,9),(13,10),(14,1),(14,11),(15,11)],16)
[[1,3],[3,5],[5]]=>([(0,1),(1,5),(1,6),(2,14),(3,15),(4,16),(5,18),(6,7),(6,8),(6,18),(7,11),(7,13),(8,10),(8,11),(10,19),(11,3),(11,19),(12,9),(13,16),(13,19),(14,9),(15,12),(16,2),(16,17),(17,12),(17,14),(18,4),(18,10),(18,13),(19,15),(19,17)],20)
[[1,3],[4,4],[5]]=>([(0,9),(1,14),(2,17),(3,16),(3,18),(4,15),(5,10),(5,11),(6,10),(6,12),(7,4),(8,5),(8,6),(8,17),(9,2),(9,8),(10,19),(11,16),(11,19),(12,18),(12,19),(13,14),(14,15),(16,7),(17,3),(17,11),(17,12),(18,1),(18,13),(19,13)],20)
[[1,4],[3,5],[4]]=>([(0,9),(1,14),(2,17),(3,16),(3,18),(4,15),(5,10),(5,11),(6,10),(6,12),(7,4),(8,5),(8,6),(8,17),(9,2),(9,8),(10,19),(11,16),(11,19),(12,18),(12,19),(13,14),(14,15),(16,7),(17,3),(17,11),(17,12),(18,1),(18,13),(19,13)],20)
[[1,3],[4,5],[5]]=>([(0,3),(0,4),(1,9),(2,8),(2,12),(3,2),(4,5),(4,7),(5,32),(6,31),(7,13),(7,14),(7,32),(8,28),(9,27),(10,17),(10,26),(11,15),(11,25),(12,28),(12,30),(13,20),(13,24),(14,23),(14,24),(14,30),(15,1),(16,33),(17,33),(19,22),(20,15),(20,34),(21,26),(22,16),(23,25),(23,34),(24,19),(24,34),(25,10),(25,21),(26,27),(26,33),(27,18),(28,6),(28,29),(29,22),(29,31),(30,19),(30,29),(31,16),(31,17),(32,11),(32,20),(32,23),(33,18),(34,21)],35)
[[1,4],[3,5],[5]]=>([(0,2),(1,8),(2,5),(2,6),(3,22),(4,19),(5,23),(6,9),(6,10),(6,23),(7,11),(7,18),(8,12),(8,13),(9,15),(9,16),(10,15),(10,17),(11,1),(12,24),(13,24),(14,24),(15,4),(15,25),(16,11),(16,25),(17,18),(17,25),(18,3),(18,21),(19,20),(20,13),(20,14),(21,20),(21,22),(22,12),(22,14),(23,7),(23,16),(23,17),(25,19),(25,21)],26)
[[1,4],[4,5],[5]]=>([(0,3),(1,9),(3,6),(3,7),(4,23),(5,20),(6,24),(7,10),(7,11),(7,24),(8,12),(8,19),(9,13),(9,14),(10,16),(10,17),(11,16),(11,18),(12,1),(13,25),(14,25),(15,25),(16,5),(16,26),(17,12),(17,26),(18,19),(18,26),(19,4),(19,22),(20,21),(21,14),(21,15),(22,21),(22,23),(23,13),(23,15),(24,8),(24,17),(24,18),(25,2),(26,20),(26,22)],27)
[[2,2],[3,3],[5]]=>([(0,6),(1,10),(1,11),(2,9),(2,11),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,9),(7,10),(9,12),(10,12),(11,4),(11,12),(12,8)],13)
[[2,2],[3,4],[5]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,15),(5,6),(5,7),(5,15),(6,10),(6,11),(7,9),(7,10),(9,16),(10,2),(10,16),(11,13),(11,16),(12,8),(13,12),(14,8),(15,3),(15,9),(15,11),(16,12),(16,14)],17)
[[2,2],[3,5],[4]]=>([(0,6),(0,7),(1,12),(2,10),(3,10),(3,11),(4,17),(5,11),(5,17),(6,8),(7,9),(8,2),(8,3),(9,4),(9,5),(10,16),(11,13),(11,16),(12,14),(13,12),(13,15),(15,14),(16,15),(17,1),(17,13)],18)
[[2,2],[3,5],[5]]=>([(0,3),(0,4),(1,8),(1,10),(2,7),(2,9),(3,2),(4,1),(5,16),(6,17),(7,14),(8,15),(9,14),(9,21),(10,15),(10,21),(12,11),(13,11),(14,5),(14,18),(15,6),(15,19),(16,12),(17,13),(18,16),(18,20),(19,17),(19,20),(20,12),(20,13),(21,18),(21,19)],22)
[[2,2],[4,4],[5]]=>([(0,1),(1,5),(1,6),(2,14),(3,15),(4,16),(5,18),(6,7),(6,8),(6,18),(7,11),(7,13),(8,10),(8,11),(10,19),(11,3),(11,19),(12,9),(13,16),(13,19),(14,9),(15,12),(16,2),(16,17),(17,12),(17,14),(18,4),(18,10),(18,13),(19,15),(19,17)],20)
[[2,2],[4,5],[5]]=>([(0,2),(0,3),(1,7),(1,11),(2,1),(3,4),(3,8),(4,34),(5,33),(6,26),(7,27),(8,12),(8,13),(8,34),(9,22),(9,23),(10,17),(10,25),(11,27),(11,32),(12,16),(12,21),(13,20),(13,21),(13,32),(14,36),(15,36),(16,37),(17,35),(18,15),(19,14),(20,26),(20,37),(21,9),(21,28),(21,37),(22,19),(23,18),(24,15),(24,35),(25,14),(25,35),(26,10),(26,30),(27,5),(27,29),(28,23),(28,31),(29,31),(29,33),(30,19),(30,25),(31,18),(31,24),(32,28),(32,29),(33,17),(33,24),(34,6),(34,16),(34,20),(35,36),(37,22),(37,30)],38)
[[2,3],[3,4],[5]]=>([(0,2),(1,6),(2,4),(2,5),(3,18),(4,19),(5,8),(5,9),(5,19),(6,12),(7,10),(7,14),(8,11),(8,16),(9,11),(9,15),(10,1),(11,3),(11,20),(13,12),(14,17),(15,14),(15,20),(16,10),(16,20),(17,13),(18,13),(19,7),(19,15),(19,16),(20,17),(20,18)],21)
[[2,3],[3,5],[4]]=>([(0,2),(0,3),(1,7),(1,9),(2,1),(3,4),(3,8),(4,27),(5,26),(6,22),(7,23),(8,11),(8,12),(8,27),(9,23),(9,25),(10,15),(10,16),(11,13),(11,21),(12,20),(12,21),(12,25),(13,29),(14,28),(15,28),(16,28),(17,18),(18,14),(19,15),(20,22),(20,29),(21,17),(21,29),(22,10),(22,19),(23,5),(23,24),(24,18),(24,26),(25,17),(25,24),(26,14),(26,16),(27,6),(27,13),(27,20),(29,19)],30)
[[2,3],[3,5],[5]]=>([(0,2),(0,3),(1,7),(1,11),(2,1),(3,4),(3,8),(4,34),(5,33),(6,26),(7,27),(8,12),(8,13),(8,34),(9,22),(9,23),(10,17),(10,25),(11,27),(11,32),(12,16),(12,21),(13,20),(13,21),(13,32),(14,36),(15,36),(16,37),(17,35),(18,15),(19,14),(20,26),(20,37),(21,9),(21,28),(21,37),(22,19),(23,18),(24,15),(24,35),(25,14),(25,35),(26,10),(26,30),(27,5),(27,29),(28,23),(28,31),(29,31),(29,33),(30,19),(30,25),(31,18),(31,24),(32,28),(32,29),(33,17),(33,24),(34,6),(34,16),(34,20),(35,36),(37,22),(37,30)],38)
[[2,3],[4,4],[5]]=>([(0,2),(1,8),(2,5),(2,6),(3,22),(4,19),(5,23),(6,9),(6,10),(6,23),(7,11),(7,18),(8,12),(8,13),(9,15),(9,16),(10,15),(10,17),(11,1),(12,24),(13,24),(14,24),(15,4),(15,25),(16,11),(16,25),(17,18),(17,25),(18,3),(18,21),(19,20),(20,13),(20,14),(21,20),(21,22),(22,12),(22,14),(23,7),(23,16),(23,17),(25,19),(25,21)],26)
[[2,4],[3,5],[4]]=>([(0,3),(0,4),(1,9),(2,8),(2,12),(3,2),(4,5),(4,7),(5,32),(6,31),(7,13),(7,14),(7,32),(8,28),(9,27),(10,17),(10,26),(11,15),(11,25),(12,28),(12,30),(13,20),(13,24),(14,23),(14,24),(14,30),(15,1),(16,33),(17,33),(19,22),(20,15),(20,34),(21,26),(22,16),(23,25),(23,34),(24,19),(24,34),(25,10),(25,21),(26,27),(26,33),(27,18),(28,6),(28,29),(29,22),(29,31),(30,19),(30,29),(31,16),(31,17),(32,11),(32,20),(32,23),(33,18),(34,21)],35)
[[2,3],[4,5],[5]]=>([(0,3),(0,4),(1,7),(1,14),(2,13),(3,6),(3,8),(4,1),(5,37),(6,38),(7,28),(8,11),(8,15),(8,38),(9,26),(9,27),(10,19),(10,30),(11,25),(11,31),(12,20),(12,40),(13,21),(13,29),(14,28),(14,39),(15,23),(15,31),(15,39),(16,43),(17,41),(17,43),(18,44),(19,2),(20,42),(21,41),(22,16),(23,30),(23,45),(24,16),(24,42),(25,19),(25,45),(26,35),(27,22),(28,5),(28,33),(29,18),(29,41),(30,12),(30,34),(31,9),(31,32),(31,45),(32,27),(32,36),(33,36),(33,37),(34,35),(34,40),(35,17),(35,21),(36,22),(36,24),(37,20),(37,24),(38,10),(38,23),(38,25),(39,32),(39,33),(40,17),(40,29),(40,42),(41,44),(42,18),(42,43),(43,44),(45,26),(45,34)],46)
[[2,4],[3,5],[5]]=>([(0,3),(0,4),(1,7),(1,14),(2,13),(3,6),(3,8),(4,1),(5,37),(6,38),(7,28),(8,11),(8,15),(8,38),(9,26),(9,27),(10,19),(10,30),(11,25),(11,31),(12,20),(12,40),(13,21),(13,29),(14,28),(14,39),(15,23),(15,31),(15,39),(16,43),(17,41),(17,43),(18,44),(19,2),(20,42),(21,41),(22,16),(23,30),(23,45),(24,16),(24,42),(25,19),(25,45),(26,35),(27,22),(28,5),(28,33),(29,18),(29,41),(30,12),(30,34),(31,9),(31,32),(31,45),(32,27),(32,36),(33,36),(33,37),(34,35),(34,40),(35,17),(35,21),(36,22),(36,24),(37,20),(37,24),(38,10),(38,23),(38,25),(39,32),(39,33),(40,17),(40,29),(40,42),(41,44),(42,18),(42,43),(43,44),(45,26),(45,34)],46)
[[2,4],[4,5],[5]]=>([(0,3),(0,4),(1,7),(1,15),(2,14),(3,6),(3,9),(4,1),(5,39),(6,40),(7,30),(8,20),(9,12),(9,16),(9,40),(10,28),(10,29),(11,21),(11,32),(12,27),(12,33),(13,22),(13,42),(14,23),(14,31),(15,30),(15,41),(16,25),(16,33),(16,41),(17,45),(18,43),(18,45),(19,46),(21,2),(22,44),(23,43),(24,17),(25,32),(25,47),(26,17),(26,44),(27,21),(27,47),(28,37),(29,24),(30,5),(30,35),(31,19),(31,43),(32,13),(32,36),(33,10),(33,34),(33,47),(34,29),(34,38),(35,38),(35,39),(36,37),(36,42),(37,18),(37,23),(38,24),(38,26),(39,22),(39,26),(40,11),(40,25),(40,27),(41,34),(41,35),(42,18),(42,31),(42,44),(43,8),(43,46),(44,19),(44,45),(45,46),(46,20),(47,28),(47,36)],48)
[[3,3],[4,4],[5]]=>([(0,3),(1,9),(3,6),(3,7),(4,23),(5,20),(6,24),(7,10),(7,11),(7,24),(8,12),(8,19),(9,13),(9,14),(10,16),(10,17),(11,16),(11,18),(12,1),(13,25),(14,25),(15,25),(16,5),(16,26),(17,12),(17,26),(18,19),(18,26),(19,4),(19,22),(20,21),(21,14),(21,15),(22,21),(22,23),(23,13),(23,15),(24,8),(24,17),(24,18),(25,2),(26,20),(26,22)],27)
[[3,3],[4,5],[5]]=>([(0,3),(0,4),(1,7),(1,15),(2,14),(3,6),(3,9),(4,1),(5,39),(6,40),(7,30),(8,20),(9,12),(9,16),(9,40),(10,28),(10,29),(11,21),(11,32),(12,27),(12,33),(13,22),(13,42),(14,23),(14,31),(15,30),(15,41),(16,25),(16,33),(16,41),(17,45),(18,43),(18,45),(19,46),(21,2),(22,44),(23,43),(24,17),(25,32),(25,47),(26,17),(26,44),(27,21),(27,47),(28,37),(29,24),(30,5),(30,35),(31,19),(31,43),(32,13),(32,36),(33,10),(33,34),(33,47),(34,29),(34,38),(35,38),(35,39),(36,37),(36,42),(37,18),(37,23),(38,24),(38,26),(39,22),(39,26),(40,11),(40,25),(40,27),(41,34),(41,35),(42,18),(42,31),(42,44),(43,8),(43,46),(44,19),(44,45),(45,46),(46,20),(47,28),(47,36)],48)
[[3,4],[4,5],[5]]=>([(0,3),(0,4),(1,20),(2,19),(3,5),(3,9),(4,6),(4,10),(5,59),(6,60),(7,35),(8,36),(9,13),(9,21),(9,59),(10,14),(10,22),(10,60),(11,29),(11,47),(12,30),(12,48),(13,41),(13,49),(14,42),(14,50),(15,43),(15,61),(16,44),(16,62),(17,31),(17,63),(18,32),(18,64),(19,33),(19,45),(20,34),(20,46),(21,37),(21,49),(21,58),(22,38),(22,50),(22,58),(23,69),(23,70),(25,65),(25,69),(26,66),(26,70),(27,73),(28,74),(29,2),(30,1),(31,67),(32,68),(33,65),(34,66),(35,24),(36,24),(37,47),(37,71),(38,48),(38,72),(39,23),(39,67),(40,23),(40,68),(41,29),(41,71),(42,30),(42,72),(43,55),(44,56),(45,27),(45,65),(46,28),(46,66),(47,17),(47,53),(48,18),(48,54),(49,15),(49,51),(49,71),(50,16),(50,52),(50,72),(51,57),(51,61),(52,57),(52,62),(53,55),(53,63),(54,56),(54,64),(55,25),(55,33),(56,26),(56,34),(57,39),(57,40),(58,51),(58,52),(59,11),(59,37),(59,41),(60,12),(60,38),(60,42),(61,32),(61,40),(62,31),(62,39),(63,25),(63,45),(63,67),(64,26),(64,46),(64,68),(65,7),(65,73),(66,8),(66,74),(67,27),(67,69),(68,28),(68,70),(69,73),(70,74),(71,43),(71,53),(72,44),(72,54),(73,35),(74,36)],75)
[[1,1],[2],[3],[5]]=>([(0,1)],2)
[[1,1],[2],[4],[5]]=>([(0,2),(2,1)],3)
[[1,1],[3],[4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,2],[2],[3],[5]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,2],[2],[4],[5]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,3],[2],[3],[5]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,2],[3],[4],[5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3],[2],[4],[5]]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[[1,4],[2],[3],[5]]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[[1,5],[2],[3],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,5],[2],[3],[5]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,4],[2],[4],[5]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[[1,5],[2],[4],[5]]=>([(0,3),(0,8),(1,10),(2,10),(3,9),(4,6),(5,4),(5,11),(6,2),(7,1),(8,5),(8,9),(9,11),(11,7)],12)
[[1,3],[3],[4],[5]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[[1,4],[3],[4],[5]]=>([(0,7),(0,8),(1,12),(2,11),(3,9),(4,9),(5,3),(6,4),(7,2),(7,10),(8,1),(8,10),(10,11),(10,12),(11,5),(12,6)],13)
[[1,5],[3],[4],[5]]=>([(0,10),(0,11),(1,17),(2,13),(3,14),(4,13),(4,14),(5,8),(6,5),(6,16),(7,4),(8,3),(9,2),(10,6),(10,12),(11,1),(11,12),(12,16),(12,17),(13,15),(14,15),(16,7),(17,9)],18)
[[2,2],[3],[4],[5]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,3],[3],[4],[5]]=>([(0,3),(0,8),(1,10),(2,10),(3,9),(4,6),(5,4),(5,11),(6,2),(7,1),(8,5),(8,9),(9,11),(11,7)],12)
[[2,4],[3],[4],[5]]=>([(0,10),(0,11),(1,17),(2,13),(3,14),(4,13),(4,14),(5,8),(6,5),(6,16),(7,4),(8,3),(9,2),(10,6),(10,12),(11,1),(11,12),(12,16),(12,17),(13,15),(14,15),(16,7),(17,9)],18)
[[2,5],[3],[4],[5]]=>([(0,13),(0,14),(1,18),(2,17),(3,15),(3,17),(4,15),(4,18),(5,11),(6,12),(7,5),(7,22),(8,6),(8,23),(9,3),(10,4),(11,2),(12,1),(13,7),(13,16),(14,8),(14,16),(15,19),(15,20),(16,22),(16,23),(17,19),(18,20),(19,21),(20,21),(22,9),(23,10)],24)
[[1],[2],[3],[4],[5]]=>([],1)
[[1,1,1,1,1,2]]=>([(0,1)],2)
[[1,1,1,1,2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,2,2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,2,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,2,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1],[2]]=>([],1)
[[1,1,1,1,2],[2]]=>([(0,1)],2)
[[1,1,1,2,2],[2]]=>([(0,2),(2,1)],3)
[[1,1,2,2,2],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2,2,2],[2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1],[2,2]]=>([],1)
[[1,1,1,2],[2,2]]=>([(0,1)],2)
[[1,1,2,2],[2,2]]=>([(0,2),(2,1)],3)
[[1,1,1],[2,2,2]]=>([],1)
[[1,1,1,1,1,3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,1,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,2,2,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,2,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,2,2,2,3]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,2,2,3,3]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,2,3,3,3]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,3,3,3,3]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,2,2,2,2,3]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,2,2,2,3,3]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,2,2,3,3,3]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,2,3,3,3,3]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,3,3,3,3,3]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[2,2,2,2,2,3]]=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
[[2,2,2,2,3,3]]=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
[[2,2,2,3,3,3]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,16),(5,6),(5,16),(6,9),(6,17),(7,11),(8,7),(8,18),(9,8),(9,20),(11,12),(12,10),(13,10),(14,13),(15,3),(15,19),(16,2),(16,17),(17,15),(17,20),(18,11),(18,21),(19,14),(19,21),(20,18),(20,19),(21,12),(21,13)],22)
[[2,2,3,3,3,3]]=>([(0,1),(1,5),(1,6),(2,17),(3,15),(4,16),(5,18),(6,8),(6,18),(7,13),(8,10),(8,19),(9,7),(9,20),(10,9),(10,23),(12,14),(13,12),(14,11),(15,11),(16,3),(16,21),(17,4),(17,22),(18,2),(18,19),(19,17),(19,23),(20,13),(20,24),(21,14),(21,15),(22,16),(22,24),(23,20),(23,22),(24,12),(24,21)],25)
[[2,3,3,3,3,3]]=>([(0,1),(1,6),(1,7),(2,19),(3,17),(4,18),(5,12),(6,20),(7,9),(7,20),(8,15),(9,11),(9,21),(10,8),(10,22),(11,10),(11,25),(13,14),(14,16),(15,13),(16,12),(17,5),(17,16),(18,3),(18,23),(19,4),(19,24),(20,2),(20,21),(21,19),(21,25),(22,15),(22,26),(23,14),(23,17),(24,18),(24,26),(25,22),(25,24),(26,13),(26,23)],27)
[[3,3,3,3,3,3]]=>([(0,2),(2,6),(2,7),(3,20),(4,18),(5,19),(6,21),(7,10),(7,21),(8,13),(9,16),(10,12),(10,22),(11,9),(11,23),(12,11),(12,26),(13,1),(14,15),(15,17),(16,14),(17,13),(18,8),(18,17),(19,4),(19,24),(20,5),(20,25),(21,3),(21,22),(22,20),(22,26),(23,16),(23,27),(24,15),(24,18),(25,19),(25,27),(26,23),(26,25),(27,14),(27,24)],28)
[[1,1,1,1,1],[3]]=>([(0,1)],2)
[[1,1,1,1,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,3],[2]]=>([(0,2),(2,1)],3)
[[1,1,1,1,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,3],[2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,3,3],[2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,3,3],[3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,2,2,2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,3],[2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,2,3],[3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,1,2,3,3],[2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,3,3],[3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1,3,3,3],[2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,3,3,3],[3]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,2,2,2,2],[3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,3],[2]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,2,2,3],[3]]=>([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12)
[[1,2,2,3,3],[2]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,2,3,3],[3]]=>([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18)
[[1,2,3,3,3],[2]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2,3,3,3],[3]]=>([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24)
[[1,3,3,3,3],[2]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,3,3,3,3],[3]]=>([(0,9),(2,15),(3,14),(4,11),(5,13),(6,7),(6,14),(7,5),(7,10),(8,1),(9,3),(9,6),(10,13),(10,15),(11,8),(12,11),(13,12),(14,2),(14,10),(15,4),(15,12)],16)
[[2,2,2,2,2],[3]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,3],[3]]=>([(0,8),(0,9),(1,10),(2,11),(3,6),(3,10),(4,3),(5,1),(6,7),(6,13),(7,2),(7,12),(8,4),(9,5),(10,13),(12,11),(13,12)],14)
[[2,2,2,3,3],[3]]=>([(0,11),(0,12),(1,13),(2,20),(3,14),(4,15),(5,9),(5,13),(6,5),(7,4),(8,1),(8,20),(9,10),(9,17),(10,3),(10,16),(11,6),(12,2),(12,8),(13,17),(14,19),(15,18),(16,14),(16,18),(17,15),(17,16),(18,19),(20,7)],21)
[[2,2,3,3,3],[3]]=>([(0,14),(0,15),(1,17),(2,16),(3,19),(4,20),(5,18),(6,12),(6,17),(7,6),(8,2),(8,26),(9,1),(9,26),(10,5),(11,3),(11,27),(12,13),(12,22),(13,4),(13,21),(14,7),(15,8),(15,9),(16,27),(17,22),(18,24),(19,25),(20,23),(21,20),(21,25),(22,19),(22,21),(23,24),(25,18),(25,23),(26,11),(26,16),(27,10)],28)
[[2,3,3,3,3],[3]]=>([(0,17),(0,18),(1,19),(2,25),(3,24),(4,23),(5,22),(6,27),(7,15),(7,19),(8,7),(9,11),(9,32),(10,1),(10,32),(11,6),(11,20),(12,2),(12,34),(13,3),(14,4),(14,33),(15,16),(15,28),(16,5),(16,26),(17,8),(18,9),(18,10),(19,28),(20,27),(20,33),(21,34),(22,29),(23,31),(25,30),(26,22),(26,31),(27,21),(28,23),(28,26),(29,30),(30,24),(31,25),(31,29),(32,14),(32,20),(33,12),(33,21),(34,13)],35)
[[1,1,1,1],[2,3]]=>([(0,1)],2)
[[1,1,1,1],[3,3]]=>([(0,2),(2,1)],3)
[[1,1,1,2],[2,3]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,2],[3,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,3],[2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,3],[3,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2],[2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,3],[2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,2,2],[3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2,3],[2,3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,3,3],[2,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2,3],[3,3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,1,3,3],[2,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,3,3],[3,3]]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[[1,2,2,2],[2,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2],[3,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,2,2,3],[2,3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,2,2,3],[3,3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,2,3,3],[2,3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,2,3,3],[3,3]]=>([(0,10),(0,11),(1,12),(2,16),(3,15),(4,13),(5,3),(5,12),(6,5),(7,9),(8,1),(8,16),(9,4),(9,14),(10,6),(11,2),(11,8),(12,15),(14,13),(15,14),(16,7)],17)
[[2,2,2,2],[3,3]]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[[2,2,2,3],[3,3]]=>([(0,10),(0,11),(1,12),(2,16),(3,15),(4,13),(5,3),(5,12),(6,5),(7,9),(8,1),(8,16),(9,4),(9,14),(10,6),(11,2),(11,8),(12,15),(14,13),(15,14),(16,7)],17)
[[2,2,3,3],[3,3]]=>([(0,15),(0,16),(1,26),(2,25),(3,23),(4,22),(5,18),(6,19),(7,13),(8,14),(9,11),(9,25),(10,12),(10,26),(11,3),(11,17),(12,4),(12,17),(13,5),(13,20),(14,6),(14,21),(15,2),(15,9),(16,1),(16,10),(17,22),(17,23),(18,24),(19,24),(20,18),(21,19),(22,20),(23,21),(25,7),(26,8)],27)
[[1,1,1,1],[2],[3]]=>([],1)
[[1,1,1,2],[2],[3]]=>([(0,1)],2)
[[1,1,1,3],[2],[3]]=>([(0,2),(2,1)],3)
[[1,1,2,2],[2],[3]]=>([(0,2),(2,1)],3)
[[1,1,2,3],[2],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,3,3],[2],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2,2,2],[2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2,3],[2],[3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,3,3],[2],[3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,3,3,3],[2],[3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1],[2,2,3]]=>([(0,1)],2)
[[1,1,1],[2,3,3]]=>([(0,2),(2,1)],3)
[[1,1,1],[3,3,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2],[2,2,3]]=>([(0,2),(2,1)],3)
[[1,1,2],[2,3,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,2],[3,3,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,2],[2,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2,2],[3,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[2,2,2],[3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1],[2,2],[3]]=>([],1)
[[1,1,1],[2,3],[3]]=>([(0,1)],2)
[[1,1,2],[2,2],[3]]=>([(0,1)],2)
[[1,1,2],[2,3],[3]]=>([(0,2),(2,1)],3)
[[1,1,3],[2,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,3],[2,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2],[2,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,3],[2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1],[2,2],[3,3]]=>([],1)
[[1,1,1,1,1,4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,3,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,2,2,4]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,1,2,3,4]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,1,2,4,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,1,3,3,4]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,1,3,4,4]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,1,1,4,4,4]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,1,2,2,2,4]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,1,2,2,3,4]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,1,2,2,4,4]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,1,2,3,3,4]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,1,2,3,4,4]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,1,2,4,4,4]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,1,3,3,3,4]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,1,3,3,4,4]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,1,3,4,4,4]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,1,4,4,4,4]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,2,2,2,2,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16)
[[1,2,2,2,3,4]]=>([(0,1),(1,2),(1,3),(2,7),(2,16),(3,5),(3,16),(4,18),(5,17),(6,4),(6,20),(7,6),(7,19),(8,9),(8,13),(9,21),(10,22),(11,22),(12,14),(12,21),(13,15),(13,21),(14,10),(14,23),(15,11),(15,23),(16,8),(16,17),(16,19),(17,9),(17,12),(18,10),(18,11),(19,12),(19,13),(19,20),(20,14),(20,15),(20,18),(21,23),(23,22)],24)
[[1,2,2,2,4,4]]=>([(0,1),(1,3),(1,4),(2,18),(3,8),(3,20),(4,6),(4,20),(5,22),(6,21),(7,5),(7,24),(8,7),(8,23),(9,13),(9,17),(10,25),(11,25),(13,2),(13,26),(14,10),(14,27),(15,11),(15,27),(16,15),(16,26),(17,14),(17,26),(18,19),(19,12),(20,9),(20,21),(20,23),(21,13),(21,16),(22,10),(22,11),(23,16),(23,17),(23,24),(24,14),(24,15),(24,22),(25,12),(26,18),(26,27),(27,19),(27,25)],28)
[[1,2,2,3,3,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,19),(3,6),(3,19),(4,21),(5,22),(6,7),(6,24),(7,4),(7,23),(8,13),(8,18),(9,11),(9,15),(10,29),(11,25),(12,26),(13,27),(14,16),(14,25),(15,8),(15,20),(15,25),(16,12),(16,28),(17,10),(17,26),(18,10),(18,27),(19,9),(19,22),(19,24),(20,17),(20,18),(20,28),(21,12),(21,17),(22,11),(22,14),(23,16),(23,20),(23,21),(24,14),(24,15),(24,23),(25,13),(25,28),(26,29),(27,29),(28,26),(28,27)],30)
[[1,2,2,3,4,4]]=>([(0,1),(1,3),(1,4),(2,24),(3,6),(3,25),(4,8),(4,25),(5,27),(6,26),(7,5),(7,29),(8,7),(8,28),(9,13),(9,19),(10,21),(10,22),(11,34),(12,32),(13,2),(13,35),(14,31),(15,33),(16,14),(16,36),(17,15),(17,32),(18,16),(18,35),(19,10),(19,23),(19,35),(20,11),(20,31),(21,12),(21,30),(22,11),(22,30),(23,20),(23,22),(23,36),(24,12),(24,17),(25,9),(25,26),(25,28),(26,13),(26,18),(27,14),(27,20),(28,18),(28,19),(28,29),(29,16),(29,23),(29,27),(30,32),(30,34),(31,15),(31,34),(32,33),(34,33),(35,21),(35,24),(35,36),(36,17),(36,30),(36,31)],37)
[[1,2,2,4,4,4]]=>([(0,1),(1,4),(1,5),(2,29),(3,25),(4,7),(4,30),(5,8),(5,30),(6,9),(6,32),(7,6),(7,31),(8,28),(9,27),(10,23),(10,24),(11,17),(11,21),(12,36),(13,34),(14,35),(16,3),(16,39),(17,2),(17,37),(18,13),(18,38),(19,14),(19,39),(20,18),(20,37),(21,10),(21,26),(21,37),(22,12),(22,34),(23,16),(23,33),(24,12),(24,33),(25,15),(26,22),(26,24),(26,38),(27,13),(27,22),(28,17),(28,20),(29,16),(29,19),(30,11),(30,28),(30,31),(31,20),(31,21),(31,32),(32,18),(32,26),(32,27),(33,36),(33,39),(34,14),(34,36),(35,15),(36,35),(37,23),(37,29),(37,38),(38,19),(38,33),(38,34),(39,25),(39,35)],40)
[[1,2,3,3,3,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,6),(3,22),(4,25),(5,24),(6,7),(6,27),(7,4),(7,26),(8,15),(8,21),(9,13),(9,14),(10,11),(10,18),(11,28),(12,31),(13,29),(14,29),(15,30),(16,13),(16,33),(17,20),(17,28),(18,8),(18,23),(18,28),(19,16),(19,31),(20,12),(20,32),(21,9),(21,16),(21,30),(22,10),(22,24),(22,27),(23,19),(23,21),(23,32),(24,11),(24,17),(25,12),(25,19),(26,20),(26,23),(26,25),(27,17),(27,18),(27,26),(28,15),(28,32),(30,14),(30,33),(31,33),(32,30),(32,31),(33,29)],34)
[[1,2,3,3,4,4]]=>([(0,1),(1,3),(1,4),(2,28),(3,6),(3,29),(4,8),(4,29),(5,30),(6,31),(7,5),(7,33),(8,7),(8,32),(9,21),(9,24),(10,12),(10,22),(11,13),(11,23),(12,37),(13,2),(13,40),(14,34),(15,35),(16,39),(17,38),(18,14),(18,42),(19,18),(19,40),(20,12),(20,36),(21,15),(21,41),(22,17),(22,37),(23,9),(23,27),(23,40),(24,10),(24,20),(24,41),(25,16),(25,35),(26,20),(26,34),(27,24),(27,26),(27,42),(28,15),(28,25),(29,11),(29,31),(29,32),(30,14),(30,26),(31,13),(31,19),(32,19),(32,23),(32,33),(33,18),(33,27),(33,30),(34,16),(34,36),(35,17),(35,39),(36,37),(36,39),(37,38),(39,38),(40,21),(40,28),(40,42),(41,22),(41,35),(41,36),(42,25),(42,34),(42,41)],43)
[[1,2,3,4,4,4]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[1,2,4,4,4,4]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,21),(5,9),(5,37),(6,10),(6,37),(7,8),(7,39),(8,34),(9,7),(9,38),(10,33),(11,27),(11,29),(12,15),(12,31),(13,19),(13,28),(14,40),(15,41),(16,42),(17,43),(18,3),(18,49),(19,2),(19,46),(20,4),(20,43),(22,20),(22,45),(23,16),(23,49),(24,30),(24,40),(25,26),(25,46),(26,14),(26,48),(27,18),(27,47),(28,11),(28,32),(28,46),(29,12),(29,30),(29,47),(30,15),(30,44),(31,22),(31,41),(32,24),(32,29),(32,48),(33,19),(33,25),(34,14),(34,24),(35,17),(35,20),(36,18),(36,23),(37,13),(37,33),(37,38),(38,25),(38,28),(38,39),(39,26),(39,32),(39,34),(40,16),(40,44),(41,45),(42,17),(42,45),(43,21),(44,41),(44,42),(45,43),(46,27),(46,36),(46,48),(47,31),(47,44),(47,49),(48,23),(48,40),(48,47),(49,22),(49,35),(49,42)],50)
[[1,3,3,3,3,4]]=>([(0,1),(1,3),(1,4),(2,12),(3,6),(3,25),(4,7),(4,25),(5,26),(6,27),(7,8),(7,29),(8,5),(8,28),(9,13),(9,14),(10,15),(10,20),(11,16),(11,21),(13,35),(14,2),(14,35),(15,33),(16,34),(17,32),(18,19),(18,33),(19,17),(19,30),(20,11),(20,24),(20,33),(21,9),(21,22),(21,34),(22,14),(22,31),(23,22),(23,32),(24,21),(24,23),(24,30),(25,10),(25,27),(25,29),(26,17),(26,23),(27,15),(27,18),(28,19),(28,24),(28,26),(29,18),(29,20),(29,28),(30,32),(30,34),(31,35),(32,31),(33,16),(33,30),(34,13),(34,31),(35,12)],36)
[[1,3,3,3,4,4]]=>([(0,1),(1,4),(1,5),(2,33),(3,29),(4,7),(4,34),(5,8),(5,34),(6,9),(6,36),(7,6),(7,35),(8,32),(9,30),(10,23),(10,26),(11,18),(11,24),(12,19),(12,25),(13,38),(14,37),(15,40),(16,41),(18,3),(18,43),(19,2),(19,42),(20,14),(20,45),(21,18),(21,39),(22,20),(22,42),(23,13),(23,44),(24,15),(24,43),(25,10),(25,31),(25,42),(26,11),(26,21),(26,44),(27,21),(27,37),(28,16),(28,38),(29,17),(30,14),(30,27),(31,26),(31,27),(31,45),(32,19),(32,22),(33,13),(33,28),(34,12),(34,32),(34,35),(35,22),(35,25),(35,36),(36,20),(36,30),(36,31),(37,16),(37,39),(38,15),(38,41),(39,41),(39,43),(40,17),(41,40),(42,23),(42,33),(42,45),(43,29),(43,40),(44,24),(44,38),(44,39),(45,28),(45,37),(45,44)],46)
[[1,3,3,4,4,4]]=>([(0,1),(1,5),(1,6),(2,38),(3,37),(4,33),(5,9),(5,39),(6,10),(6,39),(7,8),(7,41),(8,35),(9,7),(9,40),(10,34),(11,27),(11,32),(12,19),(12,29),(13,20),(13,25),(14,45),(15,44),(17,43),(18,44),(19,4),(19,47),(20,3),(20,46),(21,2),(21,48),(22,23),(22,43),(23,19),(23,42),(24,26),(24,46),(25,11),(25,36),(25,46),(26,17),(26,50),(27,12),(27,23),(27,51),(28,16),(29,30),(29,47),(30,18),(30,49),(31,14),(31,48),(32,21),(32,51),(33,28),(34,20),(34,24),(35,17),(35,22),(36,22),(36,27),(36,50),(37,21),(37,31),(38,15),(38,18),(39,13),(39,34),(39,40),(40,24),(40,25),(40,41),(41,26),(41,35),(41,36),(42,45),(42,47),(43,14),(43,42),(44,16),(45,15),(45,49),(46,32),(46,37),(46,50),(47,33),(47,49),(48,30),(48,38),(48,45),(49,28),(49,44),(50,31),(50,43),(50,51),(51,29),(51,42),(51,48)],52)
[[1,3,4,4,4,4]]=>([(0,1),(1,6),(1,7),(2,41),(3,36),(4,40),(5,35),(6,10),(6,42),(7,11),(7,42),(8,9),(8,44),(9,38),(10,8),(10,43),(11,37),(12,29),(12,34),(13,20),(13,31),(14,21),(14,27),(15,47),(16,46),(18,54),(19,5),(19,54),(20,3),(20,49),(21,4),(21,48),(22,2),(22,50),(23,24),(23,46),(24,20),(24,45),(25,28),(25,48),(26,17),(27,12),(27,39),(27,48),(28,16),(28,52),(29,13),(29,24),(29,53),(30,26),(31,32),(31,49),(32,19),(32,51),(33,15),(33,50),(34,22),(34,53),(35,17),(36,30),(37,21),(37,25),(38,16),(38,23),(39,23),(39,29),(39,52),(40,22),(40,33),(41,18),(41,19),(42,14),(42,37),(42,43),(43,25),(43,27),(43,44),(44,28),(44,38),(44,39),(45,47),(45,49),(46,15),(46,45),(47,18),(47,51),(48,34),(48,40),(48,52),(49,36),(49,51),(50,32),(50,41),(50,47),(51,30),(51,54),(52,33),(52,46),(52,53),(53,31),(53,45),(53,50),(54,26),(54,35)],55)
[[1,4,4,4,4,4]]=>([(0,2),(2,7),(2,8),(3,42),(4,37),(5,41),(6,36),(7,11),(7,43),(8,12),(8,43),(9,10),(9,45),(10,39),(11,9),(11,44),(12,38),(13,30),(13,35),(14,21),(14,32),(15,22),(15,28),(16,48),(17,47),(18,55),(19,1),(20,6),(20,55),(21,4),(21,50),(22,5),(22,49),(23,3),(23,51),(24,26),(24,47),(25,19),(26,21),(26,46),(27,29),(27,49),(28,13),(28,40),(28,49),(29,17),(29,53),(30,14),(30,26),(30,54),(31,25),(32,33),(32,50),(33,20),(33,52),(34,16),(34,51),(35,23),(35,54),(36,19),(37,31),(38,22),(38,27),(39,17),(39,24),(40,24),(40,30),(40,53),(41,23),(41,34),(42,18),(42,20),(43,15),(43,38),(43,44),(44,27),(44,28),(44,45),(45,29),(45,39),(45,40),(46,48),(46,50),(47,16),(47,46),(48,18),(48,52),(49,35),(49,41),(49,53),(50,37),(50,52),(51,33),(51,42),(51,48),(52,31),(52,55),(53,34),(53,47),(53,54),(54,32),(54,46),(54,51),(55,25),(55,36)],56)
[[2,2,2,2,2,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,15),(3,6),(3,15),(4,14),(5,13),(6,7),(6,16),(7,8),(7,18),(8,4),(8,17),(10,12),(11,10),(12,9),(13,11),(14,9),(15,13),(15,16),(16,11),(16,18),(17,12),(17,14),(18,10),(18,17)],19)
[[2,2,2,2,3,4]]=>([(0,1),(1,2),(1,3),(2,6),(2,19),(3,5),(3,19),(4,21),(5,20),(6,7),(6,22),(7,8),(7,24),(8,4),(8,23),(9,10),(9,14),(10,25),(11,26),(12,26),(13,16),(13,25),(14,15),(14,25),(15,17),(15,28),(16,18),(16,28),(17,11),(17,27),(18,12),(18,27),(19,9),(19,20),(19,22),(20,10),(20,13),(21,11),(21,12),(22,13),(22,14),(22,24),(23,17),(23,18),(23,21),(24,15),(24,16),(24,23),(25,28),(27,26),(28,27)],29)
[[2,2,2,2,4,4]]=>([(0,1),(1,3),(1,4),(2,22),(3,7),(3,24),(4,6),(4,24),(5,26),(6,25),(7,8),(7,27),(8,9),(8,29),(9,5),(9,28),(10,14),(10,16),(11,30),(12,30),(14,2),(14,31),(15,18),(15,31),(16,17),(16,31),(17,19),(17,33),(18,20),(18,33),(19,11),(19,32),(20,12),(20,32),(21,23),(22,21),(23,13),(24,10),(24,25),(24,27),(25,14),(25,15),(26,11),(26,12),(27,15),(27,16),(27,29),(28,19),(28,20),(28,26),(29,17),(29,18),(29,28),(30,13),(31,22),(31,33),(32,23),(32,30),(33,21),(33,32)],34)
[[2,2,2,3,3,4]]=>([(0,1),(1,2),(1,3),(2,8),(2,22),(3,5),(3,22),(4,26),(5,25),(6,7),(6,29),(7,4),(7,27),(8,6),(8,28),(9,12),(9,17),(10,14),(10,21),(11,36),(12,30),(13,31),(14,32),(15,18),(15,30),(16,11),(16,35),(17,10),(17,23),(17,30),(18,19),(18,34),(19,13),(19,33),(20,11),(20,31),(21,16),(21,32),(22,9),(22,25),(22,28),(23,21),(23,24),(23,34),(24,16),(24,20),(24,33),(25,12),(25,15),(26,13),(26,20),(27,19),(27,24),(27,26),(28,15),(28,17),(28,29),(29,18),(29,23),(29,27),(30,14),(30,34),(31,36),(32,35),(33,31),(33,35),(34,32),(34,33),(35,36)],37)
[[2,2,2,3,4,4]]=>([(0,1),(1,3),(1,4),(2,29),(3,9),(3,30),(4,6),(4,30),(5,32),(6,31),(7,8),(7,35),(8,5),(8,33),(9,7),(9,34),(10,23),(10,24),(11,14),(11,25),(12,37),(13,38),(14,2),(14,43),(15,41),(16,40),(17,22),(17,45),(18,26),(18,38),(19,17),(19,43),(20,15),(20,39),(21,15),(21,37),(22,12),(22,44),(23,20),(23,36),(24,13),(24,36),(25,10),(25,27),(25,43),(26,16),(26,42),(27,23),(27,28),(27,45),(28,20),(28,21),(28,44),(29,13),(29,18),(30,11),(30,31),(30,34),(31,14),(31,19),(32,12),(32,21),(33,22),(33,28),(33,32),(34,19),(34,25),(34,35),(35,17),(35,27),(35,33),(36,38),(36,39),(37,16),(37,41),(38,42),(39,41),(39,42),(41,40),(42,40),(43,24),(43,29),(43,45),(44,26),(44,37),(44,39),(45,18),(45,36),(45,44)],46)
[[2,2,2,4,4,4]]=>([(0,1),(1,4),(1,5),(2,33),(3,21),(4,10),(4,34),(5,7),(5,34),(6,36),(7,35),(8,9),(8,39),(9,6),(9,37),(10,8),(10,38),(11,15),(11,27),(12,29),(12,30),(13,3),(13,49),(14,44),(15,2),(15,45),(16,41),(17,43),(19,24),(19,48),(20,22),(20,49),(21,23),(22,17),(22,46),(23,18),(24,16),(24,47),(25,19),(25,45),(26,14),(26,42),(27,12),(27,31),(27,45),(28,14),(28,41),(29,26),(29,40),(30,13),(30,40),(31,29),(31,32),(31,48),(32,26),(32,28),(32,47),(33,13),(33,20),(34,11),(34,35),(34,38),(35,15),(35,25),(36,16),(36,28),(37,24),(37,32),(37,36),(38,25),(38,27),(38,39),(39,19),(39,31),(39,37),(40,42),(40,49),(41,17),(41,44),(42,44),(42,46),(43,18),(44,43),(45,30),(45,33),(45,48),(46,23),(46,43),(47,22),(47,41),(47,42),(48,20),(48,40),(48,47),(49,21),(49,46)],50)
[[2,2,3,3,3,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,26),(3,6),(3,26),(4,30),(5,29),(6,7),(6,31),(7,8),(7,33),(8,4),(8,32),(9,13),(9,19),(10,15),(10,23),(11,16),(11,24),(12,41),(13,34),(14,35),(15,36),(16,37),(17,21),(17,34),(18,12),(18,40),(19,11),(19,27),(19,34),(20,18),(20,35),(21,22),(21,39),(22,14),(22,38),(23,12),(23,36),(24,10),(24,25),(24,37),(25,18),(25,23),(25,42),(26,9),(26,29),(26,31),(27,24),(27,28),(27,39),(28,20),(28,25),(28,38),(29,13),(29,17),(30,14),(30,20),(31,17),(31,19),(31,33),(32,22),(32,28),(32,30),(33,21),(33,27),(33,32),(34,16),(34,39),(35,40),(36,41),(37,15),(37,42),(38,35),(38,42),(39,37),(39,38),(40,41),(42,36),(42,40)],43)
[[2,2,3,3,4,4]]=>([(0,1),(1,3),(1,4),(2,34),(3,6),(3,35),(4,7),(4,35),(5,37),(6,36),(7,8),(7,38),(8,9),(8,40),(9,5),(9,39),(10,26),(10,28),(11,24),(11,25),(12,15),(12,27),(13,42),(14,41),(15,2),(15,51),(16,45),(17,47),(18,46),(19,29),(19,42),(20,21),(20,51),(21,23),(21,53),(22,30),(22,41),(23,14),(23,54),(24,17),(24,44),(25,16),(25,44),(26,13),(26,52),(27,10),(27,31),(27,51),(28,11),(28,32),(28,52),(29,18),(29,48),(30,16),(30,49),(31,28),(31,33),(31,53),(32,25),(32,30),(32,43),(33,22),(33,32),(33,54),(34,13),(34,19),(35,12),(35,36),(35,38),(36,15),(36,20),(37,14),(37,22),(38,20),(38,27),(38,40),(39,23),(39,33),(39,37),(40,21),(40,31),(40,39),(41,18),(41,49),(42,17),(42,48),(43,44),(43,48),(43,49),(44,45),(44,47),(45,50),(46,50),(47,50),(48,46),(48,47),(49,45),(49,46),(51,26),(51,34),(51,53),(52,24),(52,42),(52,43),(53,19),(53,52),(53,54),(54,29),(54,41),(54,43)],55)
[[2,2,3,4,4,4]]=>([(0,1),(1,4),(1,5),(2,39),(3,36),(4,10),(4,40),(5,7),(5,40),(6,42),(7,41),(8,9),(8,45),(9,6),(9,43),(10,8),(10,44),(11,33),(11,34),(12,28),(12,30),(13,17),(13,29),(14,53),(15,3),(15,60),(16,46),(17,2),(17,56),(18,48),(19,52),(20,49),(21,26),(21,59),(22,23),(22,60),(23,20),(23,61),(24,21),(24,56),(25,27),(25,46),(26,16),(26,58),(27,14),(27,54),(28,15),(28,57),(29,12),(29,35),(29,56),(30,11),(30,37),(30,57),(31,18),(31,51),(32,19),(32,48),(33,31),(33,50),(34,14),(34,50),(35,30),(35,38),(35,59),(36,18),(36,32),(37,27),(37,34),(37,47),(38,25),(38,37),(38,58),(39,15),(39,22),(40,13),(40,41),(40,44),(41,17),(41,24),(42,16),(42,25),(43,26),(43,38),(43,42),(44,24),(44,29),(44,45),(45,21),(45,35),(45,43),(46,20),(46,54),(47,50),(47,54),(47,61),(48,52),(49,19),(49,55),(50,51),(50,53),(51,48),(51,55),(53,55),(54,49),(54,53),(55,52),(56,28),(56,39),(56,59),(57,33),(57,47),(57,60),(58,23),(58,46),(58,47),(59,22),(59,57),(59,58),(60,31),(60,36),(60,61),(61,32),(61,49),(61,51)],62)
[[2,2,4,4,4,4]]=>([(0,1),(1,5),(1,6),(2,43),(3,44),(4,37),(5,10),(5,45),(6,8),(6,45),(7,11),(7,48),(8,9),(8,46),(9,7),(9,47),(10,38),(11,39),(12,31),(12,33),(13,35),(13,36),(14,22),(14,32),(15,55),(16,49),(18,52),(19,53),(20,3),(20,61),(21,4),(21,64),(22,2),(22,60),(23,30),(23,61),(24,25),(24,62),(25,16),(25,59),(26,15),(26,56),(27,24),(27,60),(28,26),(28,49),(29,18),(29,64),(30,19),(30,63),(31,20),(31,58),(32,12),(32,40),(32,60),(33,13),(33,41),(33,58),(34,21),(34,51),(35,34),(35,54),(36,15),(36,54),(37,17),(38,22),(38,27),(39,16),(39,28),(40,33),(40,42),(40,62),(41,26),(41,36),(41,50),(42,28),(42,41),(42,59),(43,20),(43,23),(44,21),(44,29),(45,14),(45,38),(45,46),(46,27),(46,32),(46,47),(47,24),(47,40),(47,48),(48,25),(48,39),(48,42),(49,19),(49,56),(50,54),(50,56),(50,63),(51,57),(51,64),(52,17),(53,18),(53,57),(54,51),(54,55),(55,57),(56,53),(56,55),(57,52),(58,35),(58,50),(58,61),(59,30),(59,49),(59,50),(60,31),(60,43),(60,62),(61,34),(61,44),(61,63),(62,23),(62,58),(62,59),(63,29),(63,51),(63,53),(64,37),(64,52)],65)
[[2,3,3,3,3,4]]=>([(0,1),(1,2),(1,3),(2,5),(2,29),(3,6),(3,29),(4,33),(5,32),(6,7),(6,34),(7,8),(7,36),(8,4),(8,35),(9,13),(9,22),(10,16),(10,27),(11,18),(11,26),(12,15),(12,17),(13,37),(14,41),(15,38),(16,40),(17,38),(18,39),(19,15),(19,45),(20,24),(20,37),(21,19),(21,44),(22,11),(22,30),(22,37),(23,21),(23,41),(24,25),(24,43),(25,14),(25,42),(26,10),(26,28),(26,39),(27,12),(27,19),(27,40),(28,21),(28,27),(28,46),(29,9),(29,32),(29,34),(30,26),(30,31),(30,43),(31,23),(31,28),(31,42),(32,13),(32,20),(33,14),(33,23),(34,20),(34,22),(34,36),(35,25),(35,31),(35,33),(36,24),(36,30),(36,35),(37,18),(37,43),(39,16),(39,46),(40,17),(40,45),(41,44),(42,41),(42,46),(43,39),(43,42),(44,45),(45,38),(46,40),(46,44)],47)
[[2,3,3,3,4,4]]=>([(0,1),(1,3),(1,4),(2,38),(3,6),(3,39),(4,7),(4,39),(5,41),(6,40),(7,8),(7,42),(8,9),(8,44),(9,5),(9,43),(10,29),(10,32),(11,17),(11,30),(12,28),(12,31),(13,16),(13,27),(14,46),(15,45),(16,50),(17,2),(17,56),(18,49),(19,52),(20,51),(21,16),(21,48),(22,33),(22,46),(23,26),(23,58),(24,23),(24,56),(25,34),(25,45),(26,15),(26,60),(27,19),(27,50),(28,18),(28,57),(29,14),(29,59),(30,10),(30,35),(30,56),(31,13),(31,21),(31,57),(32,12),(32,36),(32,59),(33,20),(33,53),(34,21),(34,54),(35,32),(35,37),(35,58),(36,31),(36,34),(36,47),(37,25),(37,36),(37,60),(38,14),(38,22),(39,11),(39,40),(39,42),(40,17),(40,24),(41,15),(41,25),(42,24),(42,30),(42,44),(43,26),(43,37),(43,41),(44,23),(44,35),(44,43),(45,20),(45,54),(46,18),(46,53),(47,53),(47,54),(47,57),(48,50),(48,55),(49,19),(49,55),(50,52),(51,55),(53,49),(53,51),(54,48),(54,51),(55,52),(56,29),(56,38),(56,58),(57,27),(57,48),(57,49),(58,22),(58,59),(58,60),(59,28),(59,46),(59,47),(60,33),(60,45),(60,47)],61)
[[2,3,3,4,4,4]]=>([(0,1),(1,4),(1,5),(2,44),(3,43),(4,7),(4,45),(5,8),(5,45),(6,47),(7,46),(8,9),(8,48),(9,10),(9,50),(10,6),(10,49),(11,34),(11,37),(12,19),(12,35),(13,33),(13,36),(14,18),(14,32),(15,53),(16,3),(16,69),(17,52),(18,54),(19,2),(19,62),(20,56),(21,60),(22,58),(23,18),(23,55),(24,20),(24,63),(25,24),(25,69),(26,21),(26,53),(27,31),(27,65),(28,27),(28,62),(29,39),(29,52),(30,15),(30,67),(31,17),(31,68),(32,38),(32,54),(33,30),(33,64),(34,16),(34,66),(35,11),(35,40),(35,62),(36,14),(36,23),(36,64),(37,13),(37,41),(37,66),(38,22),(38,59),(39,23),(39,57),(40,37),(40,42),(40,65),(41,36),(41,39),(41,51),(42,29),(42,41),(42,68),(43,15),(43,26),(44,16),(44,25),(45,12),(45,46),(45,48),(46,19),(46,28),(47,17),(47,29),(48,28),(48,35),(48,50),(49,31),(49,42),(49,47),(50,27),(50,40),(50,49),(51,57),(51,63),(51,64),(52,20),(52,57),(53,22),(53,60),(54,59),(55,54),(55,61),(56,21),(56,61),(57,55),(57,56),(59,58),(60,58),(61,59),(61,60),(62,34),(62,44),(62,65),(63,26),(63,56),(63,67),(64,32),(64,55),(64,67),(65,25),(65,66),(65,68),(66,33),(66,51),(66,69),(67,38),(67,53),(67,61),(68,24),(68,51),(68,52),(69,30),(69,43),(69,63)],70)
[[2,3,4,4,4,4]]=>([(0,1),(1,5),(1,6),(2,50),(3,49),(4,48),(5,10),(5,51),(6,8),(6,51),(7,11),(7,54),(8,9),(8,52),(9,7),(9,53),(10,43),(11,45),(12,37),(12,39),(13,36),(13,40),(14,18),(14,42),(15,24),(15,38),(16,55),(17,60),(18,57),(19,59),(20,60),(21,58),(22,4),(22,71),(23,2),(23,74),(24,3),(24,69),(25,28),(25,71),(26,19),(26,74),(27,35),(27,62),(28,21),(28,73),(29,23),(29,70),(30,31),(30,72),(31,16),(31,68),(32,41),(32,64),(33,30),(33,69),(34,32),(34,55),(35,17),(35,63),(36,29),(36,67),(37,22),(37,66),(38,12),(38,44),(38,69),(39,13),(39,46),(39,66),(40,14),(40,41),(40,67),(41,18),(41,61),(42,27),(42,57),(43,24),(43,33),(44,39),(44,47),(44,72),(45,16),(45,34),(46,32),(46,40),(46,56),(47,34),(47,46),(47,68),(48,23),(48,26),(49,22),(49,25),(50,17),(50,20),(51,15),(51,43),(51,52),(52,33),(52,38),(52,53),(53,30),(53,44),(53,54),(54,31),(54,45),(54,47),(55,21),(55,64),(56,64),(56,67),(56,73),(57,62),(58,19),(58,65),(59,20),(59,63),(61,57),(61,65),(62,63),(63,60),(64,58),(64,61),(65,59),(65,62),(66,36),(66,56),(66,71),(67,42),(67,61),(67,70),(68,28),(68,55),(68,56),(69,37),(69,49),(69,72),(70,27),(70,65),(70,74),(71,29),(71,48),(71,73),(72,25),(72,66),(72,68),(73,26),(73,58),(73,70),(74,35),(74,50),(74,59)],75)
[[2,4,4,4,4,4]]=>([(0,1),(1,6),(1,7),(2,52),(3,50),(4,51),(5,26),(6,11),(6,53),(7,9),(7,53),(8,12),(8,56),(9,10),(9,54),(10,8),(10,55),(11,45),(12,47),(13,39),(13,41),(14,38),(14,42),(15,18),(15,44),(16,24),(16,40),(17,58),(18,59),(19,61),(20,60),(21,62),(22,4),(22,73),(23,2),(23,76),(24,3),(24,71),(25,5),(25,60),(27,25),(27,65),(28,37),(28,73),(29,27),(29,64),(30,23),(30,72),(31,32),(31,74),(32,17),(32,68),(33,43),(33,66),(34,31),(34,71),(35,33),(35,58),(36,21),(36,76),(37,19),(37,75),(38,30),(38,70),(39,22),(39,69),(40,13),(40,46),(40,71),(41,14),(41,48),(41,69),(42,15),(42,43),(42,70),(43,18),(43,63),(44,29),(44,59),(45,24),(45,34),(46,41),(46,49),(46,74),(47,17),(47,35),(48,33),(48,42),(48,57),(49,35),(49,48),(49,68),(50,22),(50,28),(51,23),(51,36),(52,20),(52,25),(53,16),(53,45),(53,54),(54,34),(54,40),(54,55),(55,31),(55,46),(55,56),(56,32),(56,47),(56,49),(57,66),(57,70),(57,75),(58,19),(58,66),(59,64),(60,26),(61,21),(61,67),(62,20),(62,65),(63,59),(63,67),(64,65),(65,60),(66,61),(66,63),(67,62),(67,64),(68,37),(68,57),(68,58),(69,38),(69,57),(69,73),(70,44),(70,63),(70,72),(71,39),(71,50),(71,74),(72,29),(72,67),(72,76),(73,30),(73,51),(73,75),(74,28),(74,68),(74,69),(75,36),(75,61),(75,72),(76,27),(76,52),(76,62)],77)
[[3,3,3,3,3,4]]=>([(0,1),(1,3),(1,4),(2,17),(3,6),(3,31),(4,7),(4,31),(5,35),(6,34),(7,8),(7,36),(8,9),(8,38),(9,5),(9,37),(10,14),(10,24),(11,18),(11,29),(12,20),(12,28),(13,16),(13,19),(14,39),(15,40),(16,2),(16,41),(18,43),(19,41),(20,42),(21,16),(21,47),(22,26),(22,39),(23,21),(23,46),(24,12),(24,32),(24,39),(25,23),(25,40),(26,27),(26,45),(27,15),(27,44),(28,11),(28,30),(28,42),(29,13),(29,21),(29,43),(30,23),(30,29),(30,48),(31,10),(31,34),(31,36),(32,28),(32,33),(32,45),(33,25),(33,30),(33,44),(34,14),(34,22),(35,15),(35,25),(36,22),(36,24),(36,38),(37,27),(37,33),(37,35),(38,26),(38,32),(38,37),(39,20),(39,45),(40,46),(41,17),(42,18),(42,48),(43,19),(43,47),(44,40),(44,48),(45,42),(45,44),(46,47),(47,41),(48,43),(48,46)],49)
[[3,3,3,3,4,4]]=>([(0,1),(1,4),(1,5),(2,26),(3,39),(4,10),(4,41),(5,6),(5,41),(6,44),(7,43),(8,9),(8,47),(9,7),(9,46),(10,8),(10,45),(11,31),(11,33),(12,30),(12,35),(13,15),(13,34),(14,16),(14,32),(15,3),(15,60),(16,2),(16,59),(17,50),(18,49),(19,56),(21,51),(22,53),(23,28),(23,58),(24,29),(24,54),(25,19),(25,55),(26,20),(27,23),(27,60),(28,17),(28,61),(29,16),(29,52),(30,18),(30,62),(31,21),(31,63),(32,22),(32,59),(33,14),(33,29),(33,63),(34,12),(34,38),(34,60),(35,11),(35,42),(35,62),(36,25),(36,49),(37,24),(37,50),(38,35),(38,40),(38,58),(39,18),(39,36),(40,37),(40,42),(40,61),(41,13),(41,44),(41,45),(42,24),(42,33),(42,48),(43,17),(43,37),(44,15),(44,27),(45,27),(45,34),(45,47),(46,28),(46,40),(46,43),(47,23),(47,38),(47,46),(48,54),(48,55),(48,63),(49,21),(49,55),(50,19),(50,54),(51,22),(51,57),(52,57),(52,59),(53,20),(54,52),(54,56),(55,51),(55,56),(56,57),(57,53),(58,36),(58,61),(58,62),(59,26),(59,53),(60,30),(60,39),(60,58),(61,25),(61,48),(61,50),(62,31),(62,48),(62,49),(63,32),(63,51),(63,52)],64)
[[3,3,3,4,4,4]]=>([(0,1),(1,5),(1,6),(2,50),(3,49),(4,43),(5,11),(5,51),(6,7),(6,51),(7,10),(7,52),(8,46),(9,8),(9,53),(10,9),(10,54),(11,45),(12,30),(12,38),(13,33),(13,42),(14,22),(14,37),(15,23),(15,29),(16,60),(17,59),(19,56),(20,58),(21,61),(22,4),(22,66),(23,3),(23,65),(24,2),(24,71),(25,22),(25,57),(26,27),(26,60),(27,25),(27,55),(28,31),(28,65),(29,13),(29,47),(29,65),(30,14),(30,25),(30,64),(31,32),(31,72),(32,16),(32,68),(33,12),(33,44),(33,70),(34,17),(34,73),(35,18),(36,19),(36,59),(37,41),(37,66),(38,34),(38,64),(39,40),(39,71),(40,21),(40,69),(41,20),(41,67),(42,24),(42,70),(43,35),(44,27),(44,30),(44,63),(45,23),(45,28),(46,16),(46,26),(47,33),(47,48),(47,72),(48,26),(48,44),(48,68),(49,24),(49,39),(50,17),(50,36),(51,15),(51,45),(51,52),(52,28),(52,29),(52,54),(53,32),(53,46),(53,48),(54,31),(54,47),(54,53),(55,57),(55,61),(56,58),(57,62),(57,66),(58,18),(59,20),(59,56),(60,21),(60,55),(61,19),(61,62),(62,56),(62,67),(63,55),(63,64),(63,69),(64,37),(64,57),(64,73),(65,42),(65,49),(65,72),(66,43),(66,67),(67,35),(67,58),(68,40),(68,60),(68,63),(69,36),(69,61),(69,73),(70,38),(70,63),(70,71),(71,34),(71,50),(71,69),(72,39),(72,68),(72,70),(73,41),(73,59),(73,62)],74)
[[3,3,4,4,4,4]]=>([(0,1),(1,6),(1,7),(2,55),(3,54),(4,53),(5,47),(6,12),(6,56),(7,8),(7,56),(8,11),(8,57),(9,50),(10,9),(10,58),(11,10),(11,59),(12,49),(13,32),(13,40),(14,35),(14,46),(15,23),(15,39),(16,24),(16,31),(17,64),(18,64),(20,62),(21,66),(22,63),(23,5),(23,70),(24,3),(24,69),(25,4),(25,77),(26,2),(26,72),(27,23),(27,61),(28,29),(28,62),(29,27),(29,60),(30,33),(30,69),(31,14),(31,51),(31,69),(32,15),(32,27),(32,68),(33,34),(33,78),(34,20),(34,73),(35,13),(35,48),(35,76),(36,26),(36,79),(37,38),(38,19),(39,41),(39,70),(40,36),(40,68),(41,44),(41,75),(42,43),(42,77),(43,22),(43,74),(44,17),(44,71),(45,21),(45,72),(46,25),(46,76),(47,37),(48,29),(48,32),(48,67),(49,24),(49,30),(50,20),(50,28),(51,35),(51,52),(51,78),(52,28),(52,48),(52,73),(53,26),(53,45),(54,25),(54,42),(55,17),(55,18),(56,16),(56,49),(56,57),(57,30),(57,31),(57,59),(58,34),(58,50),(58,52),(59,33),(59,51),(59,58),(60,61),(60,63),(61,65),(61,70),(62,22),(62,60),(63,21),(63,65),(64,19),(65,66),(65,75),(66,18),(66,71),(67,60),(67,68),(67,74),(68,39),(68,61),(68,79),(69,46),(69,54),(69,78),(70,47),(70,75),(71,38),(71,64),(72,44),(72,55),(72,66),(73,43),(73,62),(73,67),(74,45),(74,63),(74,79),(75,37),(75,71),(76,40),(76,67),(76,77),(77,36),(77,53),(77,74),(78,42),(78,73),(78,76),(79,41),(79,65),(79,72)],80)
[[3,4,4,4,4,4]]=>([(0,1),(1,7),(1,8),(2,58),(3,50),(4,57),(5,56),(6,49),(7,13),(7,59),(8,9),(8,59),(9,12),(9,60),(10,53),(11,10),(11,61),(12,11),(12,62),(13,52),(14,34),(14,41),(15,37),(15,48),(16,24),(16,42),(17,25),(17,33),(19,82),(20,65),(21,68),(22,66),(23,6),(23,82),(24,3),(24,71),(25,4),(25,72),(26,2),(26,73),(27,5),(27,79),(28,24),(28,64),(29,30),(29,65),(30,28),(30,63),(31,35),(31,72),(32,18),(33,15),(33,54),(33,72),(34,16),(34,28),(34,70),(35,36),(35,80),(36,20),(36,75),(37,14),(37,51),(37,78),(38,32),(39,26),(39,81),(40,38),(41,39),(41,70),(42,44),(42,71),(43,23),(43,74),(44,43),(44,77),(45,46),(45,79),(46,22),(46,76),(47,21),(47,73),(48,27),(48,78),(49,18),(50,40),(51,30),(51,34),(51,69),(52,25),(52,31),(53,20),(53,29),(54,37),(54,55),(54,80),(55,29),(55,51),(55,75),(56,26),(56,47),(57,27),(57,45),(58,19),(58,23),(59,17),(59,52),(59,60),(60,31),(60,33),(60,62),(61,36),(61,53),(61,55),(62,35),(62,54),(62,61),(63,64),(63,66),(64,67),(64,71),(65,22),(65,63),(66,21),(66,67),(67,68),(67,77),(68,19),(68,74),(69,63),(69,70),(69,76),(70,42),(70,64),(70,81),(71,50),(71,77),(72,48),(72,57),(72,80),(73,43),(73,58),(73,68),(74,38),(74,82),(75,46),(75,65),(75,69),(76,47),(76,66),(76,81),(77,40),(77,74),(78,41),(78,69),(78,79),(79,39),(79,56),(79,76),(80,45),(80,75),(80,78),(81,44),(81,67),(81,73),(82,32),(82,49)],83)
[[4,4,4,4,4,4]]=>([(0,2),(2,8),(2,9),(3,59),(4,51),(5,58),(6,57),(7,50),(8,14),(8,60),(9,10),(9,60),(10,13),(10,61),(11,54),(12,11),(12,62),(13,12),(13,63),(14,53),(15,35),(15,42),(16,38),(16,49),(17,25),(17,43),(18,26),(18,34),(19,83),(20,66),(21,69),(22,67),(23,1),(24,7),(24,83),(25,4),(25,72),(26,5),(26,73),(27,3),(27,74),(28,6),(28,80),(29,25),(29,65),(30,23),(31,32),(31,66),(32,29),(32,64),(33,36),(33,73),(34,16),(34,55),(34,73),(35,17),(35,29),(35,71),(36,37),(36,81),(37,20),(37,76),(38,15),(38,52),(38,79),(39,30),(40,27),(40,82),(41,39),(42,40),(42,71),(43,45),(43,72),(44,24),(44,75),(45,44),(45,78),(46,47),(46,80),(47,22),(47,77),(48,21),(48,74),(49,28),(49,79),(50,23),(51,41),(52,32),(52,35),(52,70),(53,26),(53,33),(54,20),(54,31),(55,38),(55,56),(55,81),(56,31),(56,52),(56,76),(57,27),(57,48),(58,28),(58,46),(59,19),(59,24),(60,18),(60,53),(60,61),(61,33),(61,34),(61,63),(62,37),(62,54),(62,56),(63,36),(63,55),(63,62),(64,65),(64,67),(65,68),(65,72),(66,22),(66,64),(67,21),(67,68),(68,69),(68,78),(69,19),(69,75),(70,64),(70,71),(70,77),(71,43),(71,65),(71,82),(72,51),(72,78),(73,49),(73,58),(73,81),(74,44),(74,59),(74,69),(75,39),(75,83),(76,47),(76,66),(76,70),(77,48),(77,67),(77,82),(78,41),(78,75),(79,42),(79,70),(79,80),(80,40),(80,57),(80,77),(81,46),(81,76),(81,79),(82,45),(82,68),(82,74),(83,30),(83,50)],84)
[[1,1,1,1,1],[4]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,1,4],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,1,4],[3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,1,1,4],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1,1,2,2],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,2,4],[2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,2,3],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,2,4],[3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,3,4],[2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,2,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,1,1,4,4],[2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,3,3],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,3,4],[3]]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
[[1,1,1,3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,1,4,4],[3]]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
[[1,1,1,4,4],[4]]=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
[[1,1,2,2,2],[4]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,2,2,4],[2]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,2,2,3],[4]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,2,2,4],[3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,1,2,3,4],[2]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,2,2,4],[4]]=>([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17)
[[1,1,2,4,4],[2]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,2,3,3],[4]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,2,3,4],[3]]=>([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23)
[[1,1,3,3,4],[2]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,2,3,4],[4]]=>([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28)
[[1,1,2,4,4],[3]]=>([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26)
[[1,1,3,4,4],[2]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,1,2,4,4],[4]]=>([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28)
[[1,1,4,4,4],[2]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,1,3,3,3],[4]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,3,3,4],[3]]=>([(0,8),(1,12),(2,13),(2,14),(3,9),(4,10),(5,3),(5,16),(6,4),(6,16),(7,1),(7,11),(8,5),(8,6),(9,14),(9,15),(10,13),(10,15),(11,12),(13,17),(14,7),(14,17),(15,17),(16,2),(16,9),(16,10),(17,11)],18)
[[1,1,3,3,4],[4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30)
[[1,1,3,4,4],[3]]=>([(0,1),(1,4),(1,5),(2,8),(2,19),(3,16),(4,6),(4,20),(5,7),(5,20),(6,17),(7,18),(8,14),(9,12),(9,13),(11,21),(12,2),(12,21),(13,3),(13,21),(14,10),(15,10),(16,15),(17,11),(17,12),(18,11),(18,13),(19,14),(19,15),(20,9),(20,17),(20,18),(21,16),(21,19)],22)
[[1,1,3,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45)
[[1,1,4,4,4],[3]]=>([(0,1),(1,5),(1,6),(2,9),(2,21),(3,18),(4,14),(5,7),(5,22),(6,8),(6,22),(7,19),(8,20),(9,15),(10,12),(10,13),(11,23),(12,2),(12,23),(13,3),(13,23),(15,16),(16,14),(17,4),(17,16),(18,17),(19,11),(19,12),(20,11),(20,13),(21,15),(21,17),(22,10),(22,19),(22,20),(23,18),(23,21)],24)
[[1,1,4,4,4],[4]]=>([(0,2),(2,6),(2,7),(3,10),(3,22),(4,19),(5,15),(6,8),(6,23),(7,9),(7,23),(8,20),(9,21),(10,16),(11,13),(11,14),(12,24),(13,3),(13,24),(14,4),(14,24),(15,1),(16,17),(17,15),(18,5),(18,17),(19,18),(20,12),(20,13),(21,12),(21,14),(22,16),(22,18),(23,11),(23,20),(23,21),(24,19),(24,22)],25)
[[1,2,2,2,2],[4]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,2,2,2,4],[2]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,2,2,3],[4]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,2,2,2,4],[3]]=>([(0,7),(0,8),(1,13),(2,11),(3,10),(3,11),(4,6),(4,10),(5,4),(6,1),(6,12),(7,5),(8,9),(9,2),(9,3),(10,12),(10,16),(11,16),(12,13),(12,15),(13,14),(15,14),(16,15)],17)
[[1,2,2,3,4],[2]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,2,2,2,4],[4]]=>([(0,8),(0,9),(1,15),(2,12),(3,11),(3,12),(4,14),(5,7),(5,11),(6,5),(7,1),(7,13),(8,6),(9,10),(10,2),(10,3),(11,13),(11,19),(12,4),(12,19),(13,15),(13,20),(14,17),(15,18),(17,16),(18,16),(19,14),(19,20),(20,17),(20,18)],21)
[[1,2,2,4,4],[2]]=>([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22)
[[1,2,2,3,3],[4]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,2,2,3,4],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,22),(5,8),(5,24),(6,11),(6,21),(7,10),(7,12),(7,22),(8,9),(8,25),(9,23),(10,17),(10,18),(11,15),(11,20),(12,18),(12,24),(13,27),(14,27),(15,26),(16,19),(17,21),(18,16),(19,14),(19,26),(20,13),(20,26),(21,15),(22,6),(22,17),(23,13),(23,14),(24,16),(24,25),(25,19),(25,20),(25,23),(26,27)],28)
[[1,2,3,3,4],[2]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,2,2,3,4],[4]]=>([(0,2),(0,3),(1,8),(1,11),(2,1),(3,5),(3,7),(4,33),(5,25),(6,23),(7,13),(7,25),(8,24),(9,16),(9,22),(10,12),(10,30),(10,32),(11,24),(11,31),(12,17),(12,18),(13,10),(13,28),(13,31),(14,35),(15,35),(16,34),(17,19),(18,20),(19,14),(20,15),(21,15),(21,34),(22,14),(22,34),(23,9),(23,27),(24,4),(24,26),(25,6),(25,28),(26,29),(26,33),(27,19),(27,22),(28,23),(28,32),(29,20),(29,21),(30,18),(30,29),(31,26),(31,30),(32,17),(32,27),(33,16),(33,21),(34,35)],36)
[[1,2,2,4,4],[3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,26),(5,24),(6,9),(6,28),(7,11),(7,25),(8,12),(8,13),(8,26),(9,10),(9,29),(10,27),(11,21),(11,22),(12,20),(12,23),(13,23),(13,28),(14,30),(15,30),(17,19),(18,16),(19,15),(19,31),(20,25),(21,24),(21,31),(22,14),(22,31),(23,17),(24,18),(25,5),(25,21),(26,7),(26,20),(27,14),(27,15),(28,17),(28,29),(29,19),(29,22),(29,27),(30,16),(31,18),(31,30)],32)
[[1,2,3,4,4],[2]]=>([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28)
[[1,2,2,4,4],[4]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,9),(4,28),(5,25),(6,27),(7,10),(7,31),(8,13),(8,26),(9,12),(9,14),(9,28),(10,11),(10,32),(11,29),(12,20),(12,21),(13,23),(13,24),(14,21),(14,31),(16,34),(17,34),(18,22),(19,15),(20,26),(21,18),(22,17),(22,33),(23,27),(23,33),(24,16),(24,33),(25,15),(26,6),(26,23),(27,5),(27,30),(28,8),(28,20),(29,16),(29,17),(30,19),(30,25),(31,18),(31,32),(32,22),(32,24),(32,29),(33,30),(33,34),(34,19)],35)
[[1,2,4,4,4],[2]]=>([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30)
[[1,2,3,3,3],[4]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,2,3,3,4],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,9),(4,33),(5,8),(5,32),(6,15),(6,28),(7,13),(7,14),(7,33),(8,10),(8,34),(9,29),(10,30),(11,12),(11,21),(11,23),(12,16),(12,25),(13,26),(13,31),(14,26),(14,32),(15,19),(15,20),(16,35),(17,38),(18,37),(19,36),(20,36),(21,6),(21,38),(22,24),(23,16),(23,38),(24,18),(24,35),(25,27),(25,35),(26,22),(27,19),(27,37),(28,20),(29,17),(29,21),(30,18),(30,27),(31,17),(31,23),(32,22),(32,34),(33,11),(33,29),(33,31),(34,24),(34,25),(34,30),(35,37),(37,36),(38,28)],39)
[[1,3,3,3,4],[2]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,2,3,3,4],[4]]=>([(0,2),(0,3),(1,6),(1,11),(2,7),(2,8),(3,1),(4,26),(5,34),(6,27),(7,24),(8,10),(8,24),(9,17),(9,18),(10,14),(10,35),(10,36),(11,27),(11,36),(12,16),(12,28),(13,22),(13,23),(14,13),(14,29),(14,30),(15,39),(16,37),(17,38),(18,38),(19,25),(20,15),(21,15),(21,37),(22,20),(23,19),(24,4),(24,35),(25,17),(25,39),(26,12),(26,32),(27,5),(27,31),(28,9),(28,25),(28,37),(29,22),(29,33),(30,23),(30,32),(31,33),(31,34),(32,19),(32,28),(33,20),(33,21),(34,16),(34,21),(35,26),(35,30),(36,29),(36,31),(37,18),(37,39),(39,38)],40)
[[1,2,3,4,4],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,4),(3,6),(4,14),(4,16),(4,40),(5,15),(5,38),(6,9),(6,40),(7,8),(7,39),(8,10),(8,41),(9,36),(10,37),(11,31),(11,32),(12,13),(12,22),(12,33),(13,26),(13,28),(14,25),(14,39),(15,20),(15,34),(16,25),(16,35),(17,42),(18,46),(19,43),(20,44),(21,43),(22,5),(22,46),(23,30),(24,19),(25,23),(26,31),(26,45),(27,21),(28,29),(28,45),(29,20),(29,42),(30,17),(30,45),(31,27),(32,24),(33,11),(33,26),(33,46),(34,19),(34,44),(35,18),(35,33),(36,18),(36,22),(37,17),(37,29),(38,24),(38,34),(39,23),(39,41),(40,12),(40,35),(40,36),(41,28),(41,30),(41,37),(42,21),(42,44),(44,43),(45,27),(45,42),(46,32),(46,38)],47)
[[1,3,3,4,4],[2]]=>([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31)
[[1,2,3,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,11),(2,8),(2,9),(3,38),(4,51),(5,52),(6,40),(7,16),(7,39),(8,42),(9,19),(9,42),(10,41),(11,17),(11,18),(11,41),(12,23),(12,32),(13,24),(13,33),(14,15),(14,48),(14,53),(15,26),(15,47),(16,35),(16,36),(17,28),(17,37),(18,37),(18,45),(19,14),(19,43),(19,45),(20,57),(21,57),(22,59),(23,56),(24,58),(25,55),(26,30),(27,25),(27,59),(28,39),(29,25),(29,58),(30,34),(31,20),(32,21),(32,56),(33,12),(33,34),(33,58),(34,23),(34,55),(35,40),(35,54),(36,22),(36,54),(37,4),(37,46),(38,13),(38,44),(39,6),(39,35),(40,5),(40,50),(41,7),(41,28),(42,3),(42,43),(43,38),(43,48),(44,30),(44,33),(45,46),(45,53),(46,49),(46,51),(47,22),(47,27),(48,26),(48,44),(49,27),(49,29),(49,54),(50,31),(50,52),(51,24),(51,29),(52,20),(52,21),(53,36),(53,47),(53,49),(54,50),(54,59),(55,56),(56,57),(58,32),(58,55),(59,31)],60)
[[1,2,4,4,4],[3]]=>([(0,2),(0,3),(1,8),(2,1),(3,5),(3,7),(4,37),(5,15),(5,17),(5,43),(6,16),(6,41),(7,10),(7,43),(8,9),(8,42),(9,11),(9,44),(10,39),(11,40),(12,31),(12,32),(13,14),(13,23),(13,33),(14,26),(14,28),(15,25),(15,42),(16,20),(16,35),(17,25),(17,38),(18,45),(19,49),(20,47),(22,46),(23,6),(23,49),(24,30),(25,24),(26,31),(26,48),(27,22),(28,29),(28,48),(29,20),(29,45),(30,18),(30,48),(31,27),(32,36),(33,12),(33,26),(33,49),(34,37),(34,46),(35,34),(35,47),(36,4),(36,34),(37,21),(38,19),(38,33),(39,19),(39,23),(40,18),(40,29),(41,35),(41,36),(42,24),(42,44),(43,13),(43,38),(43,39),(44,28),(44,30),(44,40),(45,22),(45,47),(46,21),(47,46),(48,27),(48,45),(49,32),(49,41)],50)
[[1,3,4,4,4],[2]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,2,4,4,4],[4]]=>([(0,2),(0,3),(1,9),(2,1),(3,5),(3,8),(4,18),(4,44),(5,12),(5,45),(6,39),(7,24),(8,16),(8,17),(8,45),(9,11),(9,43),(10,42),(11,10),(11,46),(12,41),(13,29),(13,37),(14,15),(14,23),(14,34),(15,30),(15,32),(16,26),(16,43),(17,26),(17,40),(18,20),(18,27),(19,48),(20,47),(21,51),(22,50),(23,4),(23,50),(25,33),(26,25),(27,31),(27,47),(28,20),(28,48),(29,35),(30,29),(30,49),(31,39),(31,51),(32,28),(32,49),(33,19),(33,49),(34,13),(34,30),(34,50),(35,21),(36,24),(37,38),(38,6),(38,31),(39,7),(39,36),(40,22),(40,34),(41,22),(41,23),(42,19),(42,28),(43,25),(43,46),(44,27),(44,38),(45,14),(45,40),(45,41),(46,32),(46,33),(46,42),(47,51),(48,21),(48,47),(49,35),(49,48),(50,37),(50,44),(51,36)],52)
[[1,4,4,4,4],[2]]=>([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35)
[[1,3,3,3,3],[4]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,3,3,3,4],[3]]=>([(0,1),(1,3),(1,4),(2,5),(2,19),(3,6),(3,20),(4,8),(4,20),(5,15),(6,22),(7,21),(8,7),(8,23),(9,11),(9,13),(10,12),(10,17),(11,2),(11,25),(12,26),(13,25),(14,24),(16,14),(16,26),(17,9),(17,18),(17,26),(18,11),(18,24),(19,15),(20,10),(20,22),(20,23),(21,14),(21,18),(22,12),(22,16),(23,16),(23,17),(23,21),(24,25),(25,19),(26,13),(26,24)],27)
[[1,3,3,3,4],[4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,38),(5,30),(6,28),(7,20),(8,15),(8,30),(9,29),(10,18),(10,19),(11,14),(11,35),(11,37),(12,29),(12,36),(13,16),(13,26),(14,21),(14,22),(15,11),(15,33),(15,36),(16,39),(17,41),(18,40),(19,7),(19,40),(21,23),(22,24),(23,27),(24,17),(25,17),(25,39),(26,10),(26,27),(26,39),(27,19),(27,41),(28,13),(28,32),(29,4),(29,31),(30,6),(30,33),(31,34),(31,38),(32,23),(32,26),(33,28),(33,37),(34,24),(34,25),(35,22),(35,34),(36,31),(36,35),(37,21),(37,32),(38,16),(38,25),(39,18),(39,41),(40,20),(41,40)],42)
[[1,3,3,4,4],[3]]=>([(0,1),(1,4),(1,5),(2,9),(2,27),(3,26),(4,7),(4,28),(5,8),(5,28),(6,25),(7,6),(7,29),(8,24),(9,18),(10,17),(10,23),(11,16),(11,21),(12,32),(13,33),(14,32),(16,3),(16,30),(17,2),(17,31),(18,15),(19,17),(19,33),(20,13),(20,30),(21,10),(21,19),(21,30),(22,15),(23,12),(23,31),(24,16),(24,20),(25,13),(25,19),(26,12),(26,14),(27,18),(27,22),(28,11),(28,24),(28,29),(29,20),(29,21),(29,25),(30,23),(30,26),(30,33),(31,27),(31,32),(32,22),(33,14),(33,31)],34)
[[1,3,3,4,4],[4]]=>([(0,1),(0,2),(1,11),(1,12),(2,9),(2,10),(3,41),(4,55),(5,43),(6,54),(7,40),(8,17),(8,42),(9,45),(10,20),(10,45),(11,44),(12,18),(12,19),(12,44),(13,22),(13,35),(14,27),(14,34),(15,16),(15,51),(15,56),(16,28),(16,49),(17,37),(17,38),(18,29),(18,39),(19,39),(19,48),(20,15),(20,46),(20,48),(21,61),(22,60),(23,59),(24,58),(25,59),(27,7),(27,62),(28,30),(29,42),(30,36),(31,24),(31,60),(32,23),(33,24),(33,61),(34,25),(34,62),(35,14),(35,36),(35,60),(36,27),(36,58),(37,43),(37,57),(38,21),(38,57),(39,6),(39,50),(40,26),(41,13),(41,47),(42,5),(42,37),(43,4),(43,53),(44,8),(44,29),(45,3),(45,46),(46,41),(46,51),(47,30),(47,35),(48,50),(48,56),(49,21),(49,33),(50,52),(50,54),(51,28),(51,47),(52,31),(52,33),(52,57),(53,32),(53,55),(54,22),(54,31),(55,23),(55,25),(56,38),(56,49),(56,52),(57,53),(57,61),(58,62),(59,26),(60,34),(60,58),(61,32),(62,40),(62,59)],63)
[[1,3,4,4,4],[3]]=>([(0,1),(1,5),(1,6),(2,30),(3,26),(4,7),(4,31),(5,10),(5,32),(6,8),(6,32),(7,19),(8,9),(8,33),(9,29),(10,27),(11,17),(11,23),(12,18),(12,24),(14,34),(15,36),(16,3),(16,36),(17,4),(17,35),(18,2),(18,37),(19,21),(20,14),(20,37),(21,13),(22,13),(23,16),(23,35),(24,11),(24,25),(24,37),(25,17),(25,34),(26,22),(27,18),(27,20),(28,21),(28,22),(29,14),(29,25),(30,15),(30,16),(31,19),(31,28),(32,12),(32,27),(32,33),(33,20),(33,24),(33,29),(34,15),(34,35),(35,31),(35,36),(36,26),(36,28),(37,23),(37,30),(37,34)],38)
[[1,3,4,4,4],[4]]=>([(0,1),(0,2),(1,12),(1,13),(2,10),(2,11),(3,71),(4,24),(4,72),(5,58),(6,57),(7,70),(8,56),(9,55),(10,59),(11,25),(11,59),(12,22),(12,23),(12,73),(13,14),(13,73),(14,64),(15,49),(15,54),(16,32),(16,45),(17,33),(17,51),(18,20),(18,34),(18,46),(19,21),(19,69),(19,74),(20,36),(20,39),(21,35),(21,66),(22,53),(22,63),(23,53),(23,65),(24,30),(24,37),(25,19),(25,62),(25,65),(26,83),(27,83),(29,76),(30,77),(31,78),(32,79),(33,6),(33,82),(34,4),(34,78),(35,40),(36,54),(36,75),(37,41),(37,77),(38,33),(38,76),(39,42),(39,75),(40,38),(41,58),(41,81),(42,30),(42,80),(43,29),(43,79),(44,29),(44,80),(45,17),(45,38),(45,79),(46,15),(46,36),(46,78),(47,55),(48,28),(49,52),(50,27),(50,81),(51,26),(51,82),(52,5),(52,41),(53,7),(53,67),(54,3),(54,61),(55,28),(56,16),(56,60),(57,48),(58,9),(58,47),(59,8),(59,62),(60,40),(60,45),(61,50),(61,71),(62,56),(62,69),(63,31),(63,46),(64,31),(64,34),(65,67),(65,74),(66,42),(66,44),(67,68),(67,70),(68,43),(68,44),(68,75),(69,35),(69,60),(70,32),(70,43),(71,26),(71,27),(72,37),(72,52),(73,18),(73,63),(73,64),(74,39),(74,66),(74,68),(75,61),(75,80),(76,82),(77,81),(78,49),(78,72),(79,51),(79,76),(80,50),(80,77),(81,47),(82,57),(82,83),(83,48)],84)
[[1,4,4,4,4],[3]]=>([(0,1),(1,6),(1,7),(2,28),(3,19),(4,32),(5,8),(5,33),(6,10),(6,34),(7,9),(7,34),(8,21),(9,31),(10,11),(10,35),(11,30),(12,18),(12,24),(13,17),(13,25),(14,36),(15,38),(16,2),(16,38),(17,4),(17,39),(18,5),(18,37),(20,19),(21,23),(22,14),(22,39),(23,20),(24,16),(24,37),(25,12),(25,26),(25,39),(26,18),(26,36),(27,3),(27,20),(28,27),(29,23),(29,27),(30,14),(30,26),(31,17),(31,22),(32,15),(32,16),(33,21),(33,29),(34,13),(34,31),(34,35),(35,22),(35,25),(35,30),(36,15),(36,37),(37,33),(37,38),(38,28),(38,29),(39,24),(39,32),(39,36)],40)
[[1,4,4,4,4],[4]]=>([(0,2),(2,5),(2,6),(3,29),(4,20),(5,11),(5,35),(6,10),(6,35),(7,33),(8,9),(8,34),(9,22),(10,32),(11,12),(11,36),(12,31),(13,19),(13,25),(14,18),(14,26),(15,37),(16,39),(17,3),(17,39),(18,7),(18,40),(19,8),(19,38),(20,1),(21,20),(22,24),(23,15),(23,40),(24,21),(25,17),(25,38),(26,13),(26,27),(26,40),(27,19),(27,37),(28,4),(28,21),(29,28),(30,24),(30,28),(31,15),(31,27),(32,18),(32,23),(33,16),(33,17),(34,22),(34,30),(35,14),(35,32),(35,36),(36,23),(36,26),(36,31),(37,16),(37,38),(38,34),(38,39),(39,29),(39,30),(40,25),(40,33),(40,37)],41)
[[2,2,2,2,2],[4]]=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
[[2,2,2,2,3],[4]]=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
[[2,2,2,2,4],[3]]=>([(0,8),(0,9),(1,15),(2,12),(3,11),(3,12),(4,7),(4,14),(5,4),(5,11),(6,5),(7,1),(7,13),(8,6),(9,10),(10,2),(10,3),(11,14),(11,19),(12,19),(13,15),(13,18),(14,13),(14,17),(15,16),(17,18),(18,16),(19,17)],20)
[[2,2,2,2,4],[4]]=>([(0,3),(0,4),(1,7),(2,6),(2,11),(3,1),(4,2),(5,17),(6,18),(7,10),(7,24),(8,9),(8,21),(9,13),(10,8),(10,19),(11,18),(11,24),(13,15),(14,16),(15,12),(16,12),(17,14),(18,5),(18,20),(19,21),(19,22),(20,17),(20,22),(21,13),(21,23),(22,14),(22,23),(23,15),(23,16),(24,19),(24,20)],25)
[[2,2,2,3,3],[4]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,16),(5,6),(5,16),(6,9),(6,17),(7,11),(8,7),(8,18),(9,8),(9,20),(11,12),(12,10),(13,10),(14,13),(15,3),(15,19),(16,2),(16,17),(17,15),(17,20),(18,11),(18,21),(19,14),(19,21),(20,18),(20,19),(21,12),(21,13)],22)
[[2,2,2,3,4],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,25),(5,9),(5,27),(6,12),(6,24),(7,11),(7,13),(7,25),(8,10),(8,29),(9,8),(9,28),(10,26),(11,19),(11,21),(12,14),(12,20),(13,21),(13,27),(14,30),(15,31),(16,31),(17,18),(18,23),(18,30),(19,24),(20,22),(20,30),(21,17),(22,15),(22,32),(23,16),(23,32),(24,14),(25,6),(25,19),(26,15),(26,16),(27,17),(27,28),(28,18),(28,20),(28,29),(29,22),(29,23),(29,26),(30,32),(32,31)],33)
[[2,2,2,3,4],[4]]=>([(0,2),(0,3),(1,6),(1,11),(2,7),(2,8),(3,1),(4,38),(5,26),(6,28),(7,23),(8,10),(8,23),(9,17),(9,27),(10,12),(10,39),(10,40),(11,28),(11,40),(12,13),(12,33),(12,34),(13,14),(13,36),(13,37),(14,18),(14,19),(15,42),(16,42),(17,41),(18,22),(19,21),(20,25),(20,41),(21,15),(22,16),(23,5),(23,39),(24,16),(24,43),(25,15),(25,43),(26,9),(26,32),(27,24),(27,41),(28,4),(28,31),(29,21),(29,25),(30,22),(30,24),(31,35),(31,38),(32,27),(32,30),(33,35),(33,37),(34,32),(34,36),(35,20),(35,29),(36,18),(36,30),(37,19),(37,29),(38,17),(38,20),(39,26),(39,34),(40,31),(40,33),(41,43),(43,42)],44)
[[2,2,2,4,4],[3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,30),(5,28),(6,10),(6,32),(7,13),(7,29),(8,12),(8,14),(8,30),(9,11),(9,34),(10,9),(10,33),(11,31),(12,21),(12,22),(13,24),(13,25),(14,22),(14,32),(16,35),(17,35),(18,23),(19,16),(19,37),(20,17),(20,37),(21,29),(22,18),(23,20),(23,36),(24,28),(24,36),(25,19),(25,36),(26,27),(27,15),(28,26),(29,5),(29,24),(30,7),(30,21),(31,16),(31,17),(32,18),(32,33),(33,23),(33,25),(33,34),(34,19),(34,20),(34,31),(35,15),(36,26),(36,37),(37,27),(37,35)],38)
[[2,2,2,4,4],[4]]=>([(0,2),(0,3),(1,7),(2,1),(3,5),(3,9),(4,29),(5,32),(6,31),(7,12),(7,36),(8,14),(8,30),(9,13),(9,15),(9,32),(10,11),(10,38),(11,33),(12,10),(12,37),(13,24),(13,25),(14,27),(14,28),(15,25),(15,36),(17,41),(18,41),(19,26),(20,17),(20,40),(21,18),(21,40),(22,16),(23,16),(24,30),(25,19),(26,21),(26,39),(27,31),(27,39),(28,20),(28,39),(29,22),(30,6),(30,27),(31,4),(31,34),(32,8),(32,24),(33,17),(33,18),(34,29),(34,35),(35,22),(35,23),(36,19),(36,37),(37,26),(37,28),(37,38),(38,20),(38,21),(38,33),(39,34),(39,40),(40,35),(40,41),(41,23)],42)
[[2,2,3,3,3],[4]]=>([(0,1),(1,5),(1,6),(2,17),(3,15),(4,16),(5,18),(6,8),(6,18),(7,13),(8,10),(8,19),(9,7),(9,20),(10,9),(10,23),(12,14),(13,12),(14,11),(15,11),(16,3),(16,21),(17,4),(17,22),(18,2),(18,19),(19,17),(19,23),(20,13),(20,24),(21,14),(21,15),(22,16),(22,24),(23,20),(23,22),(24,12),(24,21)],25)
[[2,2,3,3,4],[3]]=>([(0,2),(0,3),(1,5),(2,1),(3,4),(3,7),(4,9),(4,37),(5,10),(5,36),(6,15),(6,31),(7,14),(7,16),(7,37),(8,11),(8,39),(9,33),(10,8),(10,38),(11,32),(12,13),(12,22),(12,26),(13,18),(13,24),(14,27),(14,34),(15,21),(15,30),(16,27),(16,36),(17,44),(18,40),(19,45),(20,42),(21,41),(22,6),(22,45),(23,25),(24,35),(24,40),(25,28),(25,40),(26,18),(26,45),(27,23),(28,20),(28,43),(29,17),(29,42),(30,17),(30,41),(31,21),(32,20),(32,29),(33,19),(33,22),(34,19),(34,26),(35,29),(35,30),(35,43),(36,23),(36,38),(37,12),(37,33),(37,34),(38,24),(38,25),(38,39),(39,28),(39,32),(39,35),(40,43),(41,44),(42,44),(43,41),(43,42),(45,31)],46)
[[2,2,3,3,4],[4]]=>([(0,2),(0,3),(1,6),(1,12),(2,7),(2,8),(3,1),(4,28),(5,41),(6,29),(7,25),(8,11),(8,25),(9,19),(9,30),(10,18),(10,31),(11,13),(11,43),(11,44),(12,29),(12,44),(13,14),(13,36),(13,37),(14,15),(14,39),(14,40),(15,20),(15,21),(16,49),(17,46),(18,45),(19,47),(20,24),(21,23),(22,26),(22,45),(23,27),(24,17),(25,4),(25,43),(26,17),(26,48),(27,16),(27,46),(28,10),(28,34),(29,5),(29,35),(30,16),(30,47),(31,9),(31,42),(31,45),(32,23),(32,42),(33,24),(33,26),(34,31),(34,32),(35,38),(35,41),(36,38),(36,40),(37,34),(37,39),(38,22),(38,33),(39,21),(39,32),(40,20),(40,33),(41,18),(41,22),(42,27),(42,30),(42,48),(43,28),(43,37),(44,35),(44,36),(45,19),(45,48),(46,49),(47,49),(48,46),(48,47)],50)
[[2,2,3,4,4],[3]]=>([(0,2),(0,3),(1,7),(2,1),(3,5),(3,6),(4,17),(4,43),(5,15),(5,16),(5,45),(6,8),(6,45),(7,10),(7,44),(8,42),(9,11),(9,47),(10,9),(10,46),(11,40),(12,33),(12,34),(13,14),(13,23),(13,35),(14,28),(14,31),(15,27),(15,44),(16,27),(16,41),(17,36),(17,37),(18,54),(19,52),(20,50),(21,49),(22,51),(23,4),(23,54),(24,30),(25,21),(25,55),(26,22),(26,50),(27,24),(28,33),(28,53),(29,26),(30,25),(30,53),(31,39),(31,53),(32,20),(33,29),(34,32),(35,12),(35,28),(35,54),(36,20),(36,48),(37,19),(37,48),(38,19),(38,49),(39,37),(39,38),(39,55),(40,21),(40,38),(41,18),(41,35),(42,18),(42,23),(43,32),(43,36),(44,24),(44,46),(45,13),(45,41),(45,42),(46,30),(46,31),(46,47),(47,25),(47,39),(47,40),(48,50),(48,52),(49,22),(49,52),(50,51),(52,51),(53,29),(53,55),(54,34),(54,43),(55,26),(55,48),(55,49)],56)
[[2,2,3,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,11),(2,8),(2,9),(3,43),(4,61),(5,62),(6,44),(7,17),(7,45),(8,47),(9,20),(9,47),(10,46),(11,18),(11,19),(11,46),(12,16),(12,57),(12,64),(13,40),(13,41),(14,24),(14,36),(15,33),(15,56),(16,15),(16,49),(16,63),(17,29),(17,31),(18,30),(18,42),(19,42),(19,48),(20,12),(20,48),(20,50),(21,72),(22,74),(23,71),(24,73),(25,68),(26,67),(27,25),(27,66),(28,25),(28,74),(29,38),(29,65),(30,45),(31,44),(31,65),(32,39),(33,32),(34,27),(34,73),(35,21),(36,13),(36,52),(36,73),(37,21),(37,67),(38,22),(38,69),(39,23),(39,68),(40,26),(40,70),(41,23),(41,70),(42,4),(42,54),(43,14),(43,51),(44,5),(44,60),(45,6),(45,31),(46,7),(46,30),(47,3),(47,50),(48,54),(48,64),(49,33),(49,55),(50,43),(50,57),(51,36),(51,55),(52,39),(52,41),(52,66),(53,34),(53,58),(53,65),(54,53),(54,61),(55,32),(55,52),(56,22),(56,28),(57,49),(57,51),(58,27),(58,28),(58,69),(59,35),(59,37),(60,59),(60,62),(61,24),(61,34),(62,26),(62,37),(63,38),(63,56),(63,58),(64,29),(64,53),(64,63),(65,60),(65,69),(66,68),(66,70),(67,72),(68,71),(69,59),(69,74),(70,67),(70,71),(71,72),(73,40),(73,66),(74,35)],75)
[[2,2,4,4,4],[3]]=>([(0,2),(0,3),(1,8),(2,1),(3,6),(3,7),(4,42),(5,18),(5,47),(6,16),(6,17),(6,49),(7,9),(7,49),(8,11),(8,48),(9,46),(10,12),(10,51),(11,10),(11,50),(12,44),(13,35),(13,36),(14,15),(14,24),(14,37),(15,31),(15,34),(16,30),(16,48),(17,30),(17,45),(18,38),(18,39),(19,57),(20,55),(21,53),(22,54),(24,5),(24,57),(25,33),(26,21),(26,58),(27,22),(27,59),(28,42),(28,59),(29,23),(30,25),(31,35),(31,56),(32,27),(33,26),(33,56),(34,43),(34,56),(35,32),(36,41),(37,13),(37,31),(37,57),(38,28),(38,52),(39,20),(39,52),(40,20),(40,53),(41,4),(41,28),(42,29),(43,39),(43,40),(43,58),(44,21),(44,40),(45,19),(45,37),(46,19),(46,24),(47,38),(47,41),(48,25),(48,50),(49,14),(49,45),(49,46),(50,33),(50,34),(50,51),(51,26),(51,43),(51,44),(52,55),(52,59),(53,22),(53,55),(54,23),(55,54),(56,32),(56,58),(57,36),(57,47),(58,27),(58,52),(58,53),(59,29),(59,54)],60)
[[2,2,4,4,4],[4]]=>([(0,2),(0,3),(1,9),(2,1),(3,7),(3,8),(4,44),(5,43),(6,19),(6,50),(7,17),(7,18),(7,52),(8,10),(8,52),(9,12),(9,51),(10,48),(11,13),(11,54),(12,11),(12,53),(13,46),(14,36),(14,37),(15,16),(15,25),(15,38),(16,31),(16,34),(17,30),(17,51),(18,30),(18,47),(19,39),(19,40),(20,61),(21,58),(23,56),(24,60),(25,6),(25,61),(26,33),(27,23),(27,62),(28,24),(28,57),(29,44),(29,57),(30,26),(31,36),(31,59),(32,28),(33,27),(33,59),(34,45),(34,59),(35,22),(36,32),(37,42),(38,14),(38,31),(38,61),(39,29),(39,55),(40,21),(40,55),(41,21),(41,56),(42,4),(42,29),(43,22),(44,5),(44,49),(45,40),(45,41),(45,62),(46,23),(46,41),(47,20),(47,38),(48,20),(48,25),(49,35),(49,43),(50,39),(50,42),(51,26),(51,53),(52,15),(52,47),(52,48),(53,33),(53,34),(53,54),(54,27),(54,45),(54,46),(55,57),(55,58),(56,24),(56,58),(57,49),(57,60),(58,60),(59,32),(59,62),(60,35),(61,37),(61,50),(62,28),(62,55),(62,56)],63)
[[2,3,3,3,3],[4]]=>([(0,1),(1,6),(1,7),(2,19),(3,17),(4,18),(5,12),(6,20),(7,9),(7,20),(8,15),(9,11),(9,21),(10,8),(10,22),(11,10),(11,25),(13,14),(14,16),(15,13),(16,12),(17,5),(17,16),(18,3),(18,23),(19,4),(19,24),(20,2),(20,21),(21,19),(21,25),(22,15),(22,26),(23,14),(23,17),(24,18),(24,26),(25,22),(25,24),(26,13),(26,23)],27)
[[2,3,3,3,4],[3]]=>([(0,2),(0,3),(1,6),(2,5),(2,7),(3,1),(4,15),(4,31),(5,16),(5,17),(5,41),(6,10),(6,43),(7,11),(7,41),(8,46),(9,45),(10,12),(10,49),(11,9),(11,48),(12,8),(12,47),(13,19),(13,22),(13,35),(14,18),(14,34),(14,36),(15,25),(15,26),(16,37),(16,42),(17,37),(17,43),(18,20),(18,28),(19,24),(19,39),(20,51),(21,50),(22,4),(22,58),(23,53),(24,54),(25,52),(26,52),(27,40),(27,51),(28,44),(28,51),(29,25),(29,56),(30,22),(30,50),(31,26),(32,27),(33,21),(33,57),(34,20),(34,57),(35,24),(35,58),(36,13),(36,30),(36,57),(37,32),(38,29),(38,53),(39,29),(39,54),(40,23),(40,55),(41,14),(41,42),(41,48),(42,33),(42,34),(43,32),(43,49),(44,38),(44,39),(44,55),(45,21),(45,30),(46,23),(46,38),(47,40),(47,44),(47,46),(48,33),(48,36),(48,45),(49,27),(49,28),(49,47),(50,58),(51,55),(53,56),(54,56),(55,53),(55,54),(56,52),(57,35),(57,50),(58,31)],59)
[[2,3,3,3,4],[4]]=>([(0,2),(0,3),(1,6),(1,12),(2,7),(2,8),(3,1),(4,44),(5,31),(6,32),(7,28),(8,10),(8,28),(9,19),(9,20),(10,16),(10,46),(10,47),(11,21),(11,34),(12,32),(12,47),(13,18),(13,33),(14,15),(14,39),(14,40),(15,23),(15,24),(16,14),(16,35),(16,37),(17,51),(18,48),(19,49),(20,49),(21,50),(22,19),(22,53),(23,25),(24,27),(25,29),(26,30),(26,48),(27,17),(28,5),(28,46),(29,22),(29,51),(30,17),(30,52),(31,13),(31,38),(32,4),(32,36),(33,11),(33,45),(33,48),(34,9),(34,22),(34,50),(35,39),(35,41),(36,41),(36,44),(37,38),(37,40),(38,33),(38,43),(39,24),(39,42),(40,23),(40,43),(41,26),(41,42),(42,27),(42,30),(43,25),(43,45),(44,18),(44,26),(45,29),(45,34),(45,52),(46,31),(46,37),(47,35),(47,36),(48,21),(48,52),(50,20),(50,53),(51,53),(52,50),(52,51),(53,49)],54)
[[2,3,3,4,4],[3]]=>([(0,2),(0,3),(1,6),(2,5),(2,7),(3,1),(4,18),(4,53),(5,15),(5,16),(5,50),(6,12),(6,52),(7,11),(7,50),(8,57),(9,56),(10,9),(10,60),(11,8),(11,59),(12,10),(12,58),(13,42),(13,54),(14,19),(14,43),(14,44),(15,45),(15,52),(16,45),(16,51),(17,20),(17,26),(17,55),(18,25),(18,48),(19,33),(19,36),(20,37),(20,40),(21,68),(22,61),(23,66),(24,67),(25,64),(26,4),(26,65),(27,69),(28,73),(29,22),(29,72),(30,35),(31,25),(31,70),(32,21),(33,42),(33,71),(34,47),(35,29),(35,71),(36,49),(36,71),(37,31),(37,62),(38,31),(38,61),(39,23),(39,73),(40,23),(40,62),(41,24),(41,63),(42,34),(43,13),(43,33),(43,63),(44,17),(44,46),(44,63),(45,30),(46,26),(46,67),(47,27),(47,66),(48,21),(48,64),(49,37),(49,38),(49,72),(50,14),(50,51),(50,59),(51,41),(51,43),(52,30),(52,58),(53,32),(53,48),(54,28),(54,39),(55,39),(55,40),(55,65),(56,22),(56,38),(57,24),(57,46),(58,35),(58,36),(58,60),(59,41),(59,44),(59,57),(60,29),(60,49),(60,56),(61,27),(61,70),(62,66),(62,70),(63,54),(63,55),(63,67),(64,68),(65,53),(65,73),(66,69),(67,28),(67,65),(69,68),(70,64),(70,69),(71,34),(71,72),(72,47),(72,61),(72,62),(73,32)],74)
[[2,3,3,4,4],[4]]=>([(0,1),(0,2),(1,8),(1,10),(2,7),(2,11),(3,39),(4,61),(5,43),(6,60),(7,31),(8,37),(9,16),(9,38),(10,18),(10,37),(11,14),(11,15),(11,31),(12,47),(12,49),(13,28),(13,48),(14,51),(14,66),(15,44),(15,51),(16,45),(16,46),(17,27),(17,50),(18,19),(18,65),(18,66),(19,21),(19,53),(19,68),(20,33),(20,59),(21,20),(21,54),(21,67),(22,77),(23,69),(24,80),(25,74),(26,76),(27,79),(28,72),(29,25),(29,71),(30,25),(30,80),(31,9),(31,44),(32,41),(33,32),(34,29),(34,79),(35,22),(35,69),(36,22),(37,5),(37,65),(38,3),(38,46),(39,4),(39,63),(40,28),(40,75),(41,40),(41,74),(42,24),(42,73),(43,17),(43,57),(44,38),(45,42),(45,70),(46,39),(46,70),(47,23),(47,78),(48,26),(48,72),(49,13),(49,40),(49,78),(50,12),(50,56),(50,79),(51,6),(51,52),(52,55),(52,60),(53,54),(53,57),(54,33),(54,58),(55,34),(55,62),(55,70),(56,41),(56,49),(56,71),(57,50),(57,58),(58,32),(58,56),(59,24),(59,30),(60,27),(60,34),(61,23),(61,35),(62,29),(62,30),(62,73),(63,61),(63,64),(64,35),(64,36),(65,43),(65,53),(66,52),(66,68),(67,42),(67,59),(67,62),(68,45),(68,55),(68,67),(69,26),(69,77),(70,63),(70,73),(71,74),(71,78),(72,76),(73,64),(73,80),(74,75),(75,72),(75,77),(77,76),(78,48),(78,69),(78,75),(79,47),(79,71),(80,36)],81)
[[2,3,4,4,4],[3]]=>([(0,2),(0,3),(1,6),(2,5),(2,7),(3,1),(4,19),(4,60),(5,16),(5,17),(5,57),(6,12),(6,59),(7,11),(7,57),(8,64),(9,63),(10,9),(10,67),(11,8),(11,66),(12,10),(12,65),(13,47),(13,49),(14,48),(14,61),(15,20),(15,50),(15,51),(16,52),(16,59),(17,52),(17,58),(18,21),(18,26),(18,62),(19,25),(19,54),(20,37),(20,40),(21,34),(21,41),(22,69),(23,74),(24,75),(25,71),(26,4),(26,72),(27,81),(28,73),(29,74),(30,39),(31,47),(31,80),(32,25),(32,77),(33,22),(33,79),(34,31),(34,68),(35,28),(35,80),(36,29),(37,48),(37,78),(38,35),(39,33),(39,78),(40,55),(40,78),(41,32),(41,68),(42,32),(42,69),(43,24),(43,70),(44,23),(45,23),(45,76),(46,13),(46,31),(46,81),(47,36),(48,38),(49,44),(50,14),(50,37),(50,70),(51,18),(51,53),(51,70),(52,30),(53,26),(53,75),(54,45),(54,71),(55,41),(55,42),(55,79),(56,44),(56,45),(57,15),(57,58),(57,66),(58,43),(58,50),(59,30),(59,65),(60,54),(60,56),(61,27),(61,46),(62,34),(62,46),(62,72),(63,22),(63,42),(64,24),(64,53),(65,39),(65,40),(65,67),(66,43),(66,51),(66,64),(67,33),(67,55),(67,63),(68,77),(68,80),(69,28),(69,77),(70,61),(70,62),(70,75),(71,76),(72,60),(72,81),(73,29),(73,76),(75,27),(75,72),(76,74),(77,71),(77,73),(78,38),(78,79),(79,35),(79,68),(79,69),(80,36),(80,73),(81,49),(81,56)],82)
[[2,3,4,4,4],[4]]=>([(0,1),(0,2),(1,9),(1,12),(2,10),(2,13),(3,76),(4,75),(5,51),(6,78),(7,55),(8,77),(9,49),(10,3),(10,84),(11,17),(11,68),(12,18),(12,49),(13,19),(13,20),(13,84),(14,36),(14,59),(15,57),(15,64),(16,35),(16,63),(17,60),(17,61),(18,26),(18,86),(18,87),(19,65),(19,87),(20,65),(20,85),(21,56),(21,58),(22,24),(22,34),(22,62),(23,25),(23,72),(23,89),(24,37),(24,38),(25,39),(25,67),(26,23),(26,66),(26,88),(27,105),(28,104),(29,95),(30,98),(31,96),(32,96),(33,94),(34,11),(34,104),(35,102),(36,92),(37,58),(37,90),(38,80),(38,90),(39,40),(40,54),(41,43),(41,102),(42,29),(42,105),(43,30),(43,91),(44,29),(44,107),(45,31),(45,101),(46,32),(47,30),(47,106),(48,33),(48,106),(49,7),(49,86),(50,5),(50,52),(51,6),(51,81),(52,51),(52,93),(53,36),(53,100),(54,53),(54,98),(55,16),(55,71),(56,50),(57,27),(57,103),(58,4),(58,82),(59,45),(59,92),(60,52),(60,99),(61,33),(61,99),(62,21),(62,37),(62,104),(63,15),(63,70),(63,102),(64,14),(64,53),(64,103),(65,8),(65,69),(66,71),(66,72),(67,47),(67,48),(68,50),(68,60),(69,73),(69,77),(70,54),(70,64),(70,91),(71,63),(71,74),(72,39),(72,74),(73,41),(73,79),(73,90),(74,40),(74,70),(75,27),(75,42),(76,28),(76,34),(77,35),(77,41),(78,31),(78,32),(79,43),(79,47),(79,97),(80,48),(80,61),(80,97),(81,46),(81,78),(82,75),(82,83),(83,42),(83,44),(83,93),(84,22),(84,76),(84,85),(85,28),(85,62),(86,55),(86,66),(87,69),(87,88),(88,38),(88,73),(88,89),(89,67),(89,79),(89,80),(90,82),(90,97),(91,98),(91,103),(92,101),(93,81),(93,107),(94,107),(95,101),(97,83),(97,99),(97,106),(98,100),(99,93),(99,94),(100,92),(100,95),(101,96),(102,57),(102,91),(103,59),(103,100),(103,105),(104,56),(104,68),(105,45),(105,95),(106,44),(106,94),(107,46)],108)
[[2,4,4,4,4],[3]]=>([(0,2),(0,3),(1,8),(2,1),(3,6),(3,7),(4,57),(5,20),(5,66),(6,21),(6,22),(6,67),(7,10),(7,67),(8,11),(8,65),(9,13),(9,70),(10,12),(10,69),(11,9),(11,68),(12,59),(13,60),(14,48),(14,50),(15,49),(15,63),(16,18),(16,30),(16,64),(17,19),(17,51),(17,52),(18,35),(18,45),(19,39),(19,42),(20,24),(20,54),(21,38),(21,65),(22,38),(22,62),(23,72),(24,75),(25,78),(26,84),(28,77),(29,74),(30,5),(30,76),(31,29),(31,83),(32,48),(32,83),(33,28),(34,23),(34,82),(35,32),(35,71),(36,24),(36,80),(37,41),(38,37),(39,49),(39,81),(40,31),(41,34),(41,81),(42,58),(42,81),(43,25),(43,73),(44,53),(44,79),(45,36),(45,71),(46,36),(46,72),(47,14),(47,32),(47,84),(48,33),(49,40),(50,56),(51,16),(51,55),(51,73),(52,15),(52,39),(52,73),(53,57),(53,77),(54,44),(54,75),(55,30),(55,78),(56,4),(56,53),(57,27),(58,45),(58,46),(58,82),(59,25),(59,55),(60,23),(60,46),(61,44),(61,56),(62,43),(62,52),(63,26),(63,47),(64,35),(64,47),(64,76),(65,37),(65,68),(66,54),(66,61),(67,17),(67,62),(67,69),(68,41),(68,42),(68,70),(69,43),(69,51),(69,59),(70,34),(70,58),(70,60),(71,80),(71,83),(72,29),(72,80),(73,63),(73,64),(73,78),(74,28),(74,79),(75,79),(76,66),(76,84),(77,27),(78,26),(78,76),(79,77),(80,74),(80,75),(81,40),(81,82),(82,31),(82,71),(82,72),(83,33),(83,74),(84,50),(84,61)],85)
[[2,4,4,4,4],[4]]=>([(0,2),(0,3),(1,9),(2,1),(3,5),(3,8),(4,23),(4,68),(5,12),(5,69),(6,59),(7,31),(8,21),(8,22),(8,69),(9,13),(9,67),(10,14),(10,72),(11,64),(12,11),(12,70),(13,10),(13,71),(14,61),(15,51),(15,53),(16,52),(16,65),(17,19),(17,30),(17,66),(18,20),(18,54),(18,55),(19,36),(19,46),(20,39),(20,44),(21,38),(21,67),(22,38),(22,63),(23,25),(23,56),(24,74),(25,78),(26,79),(27,86),(28,83),(29,76),(30,4),(30,77),(32,51),(32,85),(33,28),(34,29),(34,85),(35,24),(35,84),(36,32),(36,73),(37,43),(38,37),(39,52),(39,82),(40,59),(40,83),(41,34),(42,31),(43,35),(43,82),(44,60),(44,82),(45,40),(45,80),(46,48),(46,73),(47,48),(47,74),(48,25),(48,81),(49,26),(49,75),(50,15),(50,32),(50,86),(51,33),(52,41),(53,58),(54,17),(54,57),(54,75),(55,16),(55,39),(55,75),(56,45),(56,78),(57,30),(57,79),(58,6),(58,40),(59,7),(59,42),(60,46),(60,47),(60,84),(61,24),(61,47),(62,45),(62,58),(63,49),(63,55),(64,26),(64,57),(65,27),(65,50),(66,36),(66,50),(66,77),(67,37),(67,71),(68,56),(68,62),(69,18),(69,63),(69,70),(70,49),(70,54),(70,64),(71,43),(71,44),(71,72),(72,35),(72,60),(72,61),(73,81),(73,85),(74,29),(74,81),(75,65),(75,66),(75,79),(76,28),(76,80),(77,68),(77,86),(78,80),(79,27),(79,77),(80,83),(81,76),(81,78),(82,41),(82,84),(83,42),(84,34),(84,73),(84,74),(85,33),(85,76),(86,53),(86,62)],87)
[[3,3,3,3,3],[4]]=>([(0,2),(2,6),(2,7),(3,20),(4,18),(5,19),(6,21),(7,10),(7,21),(8,13),(9,16),(10,12),(10,22),(11,9),(11,23),(12,11),(12,26),(13,1),(14,15),(15,17),(16,14),(17,13),(18,8),(18,17),(19,4),(19,24),(20,5),(20,25),(21,3),(21,22),(22,20),(22,26),(23,16),(23,27),(24,15),(24,18),(25,19),(25,27),(26,23),(26,25),(27,14),(27,24)],28)
[[3,3,3,3,4],[4]]=>([(0,2),(0,3),(1,7),(1,13),(2,8),(2,9),(3,1),(4,19),(5,46),(6,33),(7,34),(8,30),(9,11),(9,30),(10,21),(10,22),(11,17),(11,48),(11,49),(12,23),(12,36),(13,34),(13,49),(14,20),(14,35),(15,16),(15,41),(15,42),(16,25),(16,26),(17,15),(17,37),(17,39),(18,53),(20,50),(21,4),(21,52),(22,52),(23,51),(24,21),(24,55),(25,27),(26,29),(27,31),(28,32),(28,50),(29,18),(30,6),(30,48),(31,24),(31,53),(32,18),(32,54),(33,14),(33,40),(34,5),(34,38),(35,12),(35,47),(35,50),(36,10),(36,24),(36,51),(37,41),(37,43),(38,43),(38,46),(39,40),(39,42),(40,35),(40,45),(41,26),(41,44),(42,25),(42,45),(43,28),(43,44),(44,29),(44,32),(45,27),(45,47),(46,20),(46,28),(47,31),(47,36),(47,54),(48,33),(48,39),(49,37),(49,38),(50,23),(50,54),(51,22),(51,55),(52,19),(53,55),(54,51),(54,53),(55,52)],56)
[[3,3,3,4,4],[4]]=>([(0,1),(0,2),(1,11),(1,12),(2,9),(2,10),(3,50),(4,69),(5,51),(6,68),(7,49),(8,19),(8,52),(9,54),(10,22),(10,54),(11,53),(12,20),(12,21),(12,53),(13,42),(13,43),(14,18),(14,64),(14,71),(15,26),(15,44),(16,30),(16,41),(17,37),(17,63),(18,17),(18,57),(18,70),(19,33),(19,34),(20,35),(20,48),(21,48),(21,55),(22,14),(22,55),(22,56),(23,72),(24,82),(25,79),(26,80),(27,78),(29,77),(30,7),(30,83),(31,27),(31,74),(32,27),(32,82),(33,47),(33,73),(34,51),(34,73),(35,52),(36,46),(37,36),(38,31),(38,80),(39,25),(39,72),(40,25),(41,29),(41,83),(42,23),(42,81),(43,16),(43,45),(43,81),(44,13),(44,59),(44,80),(45,30),(45,75),(46,45),(46,78),(47,24),(47,76),(48,6),(48,61),(49,28),(50,15),(50,58),(51,4),(51,67),(52,5),(52,34),(53,8),(53,35),(54,3),(54,56),(55,61),(55,71),(56,50),(56,64),(57,37),(57,62),(58,44),(58,62),(59,43),(59,46),(59,74),(60,38),(60,65),(60,73),(61,60),(61,68),(62,36),(62,59),(63,24),(63,32),(64,57),(64,58),(65,31),(65,32),(65,76),(66,39),(66,40),(67,66),(67,69),(68,26),(68,38),(69,23),(69,39),(70,47),(70,63),(70,65),(71,33),(71,60),(71,70),(72,29),(72,79),(73,67),(73,76),(74,78),(74,81),(75,79),(75,83),(76,66),(76,82),(77,28),(78,75),(79,77),(80,42),(80,74),(81,41),(81,72),(81,75),(82,40),(83,49),(83,77)],84)
[[3,3,4,4,4],[4]]=>([(0,1),(0,2),(1,10),(1,13),(2,11),(2,14),(3,55),(4,82),(5,81),(6,80),(7,54),(8,59),(9,79),(10,52),(11,5),(11,88),(12,18),(12,71),(13,19),(13,52),(14,20),(14,21),(14,88),(15,38),(15,61),(16,62),(16,68),(17,37),(17,67),(18,64),(18,65),(19,27),(19,89),(19,91),(20,69),(20,90),(21,69),(21,91),(22,60),(22,63),(23,24),(23,36),(23,66),(24,43),(24,44),(25,26),(25,76),(25,93),(26,45),(26,70),(27,25),(27,72),(27,92),(28,106),(29,107),(30,94),(31,94),(32,97),(33,100),(34,98),(36,12),(36,106),(37,104),(38,7),(38,108),(39,32),(39,107),(40,33),(40,96),(41,32),(41,111),(42,35),(43,63),(43,95),(44,84),(44,95),(45,46),(46,58),(47,34),(47,110),(48,33),(48,110),(49,40),(49,104),(50,31),(50,109),(51,30),(52,8),(52,89),(53,3),(53,56),(54,42),(55,4),(55,85),(56,55),(56,99),(57,38),(57,102),(58,57),(58,100),(59,17),(59,75),(60,53),(61,50),(61,108),(62,29),(62,105),(63,6),(63,86),(64,34),(64,103),(65,56),(65,103),(66,22),(66,43),(66,106),(67,16),(67,74),(67,104),(68,15),(68,57),(68,105),(69,9),(69,73),(70,47),(70,48),(71,53),(71,65),(72,75),(72,76),(73,77),(73,79),(74,58),(74,68),(74,96),(75,67),(75,78),(76,45),(76,78),(77,49),(77,83),(77,95),(78,46),(78,74),(79,37),(79,49),(80,29),(80,39),(81,28),(81,36),(82,30),(82,31),(83,40),(83,48),(83,101),(84,47),(84,64),(84,101),(85,51),(85,82),(86,80),(86,87),(87,39),(87,41),(87,99),(88,23),(88,81),(88,90),(89,59),(89,72),(90,28),(90,66),(91,73),(91,92),(92,44),(92,77),(92,93),(93,70),(93,83),(93,84),(94,35),(95,86),(95,101),(96,100),(96,105),(97,109),(98,111),(99,85),(99,111),(100,102),(101,87),(101,103),(101,110),(102,97),(102,108),(103,98),(103,99),(104,62),(104,96),(105,61),(105,102),(105,107),(106,60),(106,71),(107,50),(107,97),(108,54),(108,109),(109,42),(109,94),(110,41),(110,98),(111,51)],112)
[[3,4,4,4,4],[4]]=>([(0,1),(0,2),(1,12),(1,15),(2,13),(2,16),(3,100),(4,99),(5,66),(6,65),(7,76),(8,64),(9,11),(9,115),(10,98),(11,91),(12,62),(13,9),(13,107),(14,20),(14,105),(15,21),(15,62),(16,22),(16,23),(16,107),(17,79),(17,85),(18,42),(18,78),(19,81),(19,110),(20,43),(20,82),(21,32),(21,109),(21,112),(22,87),(22,112),(23,87),(23,108),(24,77),(24,80),(25,41),(25,86),(26,29),(26,83),(26,84),(27,28),(27,44),(27,111),(28,70),(28,71),(29,49),(29,53),(30,31),(30,95),(30,114),(31,54),(31,88),(32,30),(32,89),(32,113),(34,132),(35,132),(36,131),(37,120),(38,126),(39,127),(40,137),(41,130),(42,8),(42,135),(43,124),(44,14),(44,119),(45,37),(45,131),(46,37),(46,139),(47,38),(47,116),(48,39),(48,118),(49,81),(49,117),(50,66),(50,134),(51,65),(52,59),(53,102),(53,117),(54,55),(55,73),(56,68),(56,138),(57,38),(57,138),(58,47),(58,130),(59,33),(60,34),(60,136),(61,35),(61,134),(62,7),(62,109),(63,5),(63,50),(64,52),(65,33),(66,6),(66,51),(67,42),(67,128),(68,43),(68,125),(69,80),(69,121),(70,69),(70,129),(71,68),(71,129),(72,50),(72,122),(73,67),(73,126),(74,44),(74,127),(75,24),(75,69),(75,137),(76,25),(76,93),(77,63),(78,60),(78,135),(79,36),(79,133),(80,3),(80,103),(81,4),(81,104),(82,72),(82,124),(83,27),(83,74),(83,118),(84,19),(84,49),(84,118),(85,18),(85,67),(85,133),(86,17),(86,94),(86,130),(87,10),(87,92),(88,56),(88,57),(89,93),(89,95),(90,63),(90,72),(91,39),(91,74),(92,96),(92,98),(93,86),(93,97),(94,73),(94,85),(94,116),(95,54),(95,97),(96,58),(96,101),(96,117),(97,55),(97,94),(98,41),(98,58),(99,36),(99,45),(100,34),(100,35),(101,47),(101,57),(101,123),(102,56),(102,71),(102,123),(103,61),(103,100),(104,99),(104,106),(105,82),(105,90),(106,45),(106,46),(106,121),(107,26),(107,108),(107,115),(108,48),(108,84),(109,76),(109,89),(110,40),(110,75),(111,70),(111,75),(111,119),(112,92),(112,113),(113,53),(113,96),(113,114),(114,88),(114,101),(114,102),(115,48),(115,83),(115,91),(116,126),(116,133),(117,104),(117,123),(118,110),(118,111),(118,127),(119,105),(119,137),(120,136),(121,103),(121,139),(122,134),(123,106),(123,129),(123,138),(124,122),(125,124),(125,139),(126,128),(127,40),(127,119),(128,120),(128,135),(129,121),(129,125),(130,79),(130,116),(131,60),(131,120),(132,59),(133,78),(133,128),(133,131),(134,51),(135,64),(135,136),(136,52),(136,132),(137,77),(137,90),(138,46),(138,125),(139,61),(139,122)],140)
[[1,1,1,1],[2,4]]=>([(0,2),(2,1)],3)
[[1,1,1,1],[3,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,1],[4,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,2],[2,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,4],[2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2],[3,4]]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[[1,1,1,3],[2,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,4],[2,3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,1,2],[4,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,1,1,4],[2,4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1,1,3],[3,4]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,1,4],[3,3]]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[[1,1,1,3],[4,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[1,1,1,4],[3,4]]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)
[[1,1,1,4],[4,4]]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)
[[1,1,2,2],[2,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,4],[2,2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,2],[3,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,1,2,3],[2,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,4],[2,3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,3,4],[2,2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,2],[4,4]]=>([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13)
[[1,1,2,4],[2,4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,1,4,4],[2,2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,2,3],[3,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[1,1,2,4],[3,3]]=>([(0,6),(0,7),(1,11),(1,12),(2,9),(3,10),(4,2),(5,1),(5,9),(5,10),(6,4),(7,8),(8,3),(8,5),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15)
[[1,1,3,3],[2,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,3,4],[2,3]]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)
[[1,1,2,3],[4,4]]=>([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19)
[[1,1,2,4],[3,4]]=>([(0,7),(0,8),(1,16),(2,11),(3,15),(4,10),(4,12),(5,2),(6,4),(6,11),(6,16),(7,9),(8,5),(9,1),(9,6),(10,15),(10,17),(11,12),(11,13),(12,17),(13,17),(15,14),(16,3),(16,10),(16,13),(17,14)],18)
[[1,1,3,4],[2,4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,4,4],[2,3]]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)
[[1,1,2,4],[4,4]]=>([(0,8),(0,9),(1,14),(2,18),(3,17),(4,12),(4,15),(5,11),(6,5),(7,4),(7,11),(7,17),(8,10),(9,6),(10,3),(10,7),(11,15),(11,16),(12,18),(12,19),(13,14),(15,19),(16,19),(17,2),(17,12),(17,16),(18,1),(18,13),(19,13)],20)
[[1,1,4,4],[2,4]]=>([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)
[[1,1,3,3],[3,4]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,1,3,4],[3,3]]=>([(0,7),(1,8),(2,9),(3,11),(4,3),(4,8),(5,2),(5,10),(6,5),(6,12),(7,1),(7,4),(8,6),(8,11),(10,9),(11,12),(12,10)],13)
[[1,1,3,3],[4,4]]=>([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20)
[[1,1,3,4],[3,4]]=>([(0,10),(0,12),(1,20),(2,21),(3,13),(3,21),(4,13),(4,14),(5,17),(6,15),(7,16),(8,4),(8,20),(9,6),(9,19),(10,11),(11,2),(11,3),(12,1),(12,8),(13,18),(14,16),(16,9),(17,19),(18,17),(19,15),(20,7),(20,14),(21,5),(21,18)],22)
[[1,1,4,4],[3,3]]=>([(0,8),(1,9),(2,12),(3,11),(4,13),(5,3),(5,10),(6,4),(6,9),(7,5),(7,15),(8,1),(8,6),(9,7),(9,13),(10,11),(10,12),(11,14),(12,14),(13,15),(15,2),(15,10)],16)
[[1,1,3,4],[4,4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,7),(4,26),(5,27),(6,17),(7,14),(7,27),(8,10),(8,25),(9,29),(10,19),(11,20),(11,24),(12,13),(12,28),(12,29),(13,16),(13,21),(14,18),(14,28),(16,30),(17,8),(18,17),(19,15),(20,25),(21,24),(21,30),(22,20),(22,30),(23,26),(24,4),(24,23),(25,19),(26,15),(27,6),(27,18),(28,16),(28,22),(29,11),(29,21),(29,22),(30,23)],31)
[[1,1,4,4],[3,4]]=>([(0,9),(1,16),(2,10),(3,12),(4,13),(5,14),(6,5),(6,11),(7,4),(7,10),(8,6),(8,17),(9,2),(9,7),(10,8),(10,13),(11,14),(11,16),(13,17),(14,15),(15,12),(16,3),(16,15),(17,1),(17,11)],18)
[[1,1,4,4],[4,4]]=>([(0,10),(1,17),(3,16),(4,11),(5,14),(6,15),(7,6),(7,12),(8,5),(8,11),(9,7),(9,18),(10,4),(10,8),(11,9),(11,14),(12,15),(12,16),(13,17),(14,18),(15,13),(16,1),(16,13),(17,2),(18,3),(18,12)],19)
[[1,2,2,2],[2,4]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,2,2],[3,4]]=>([(0,6),(1,9),(2,7),(3,8),(4,7),(4,8),(5,1),(5,10),(6,2),(6,3),(6,4),(7,11),(8,5),(8,11),(10,9),(11,10)],12)
[[1,2,2,3],[2,4]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,2,4],[2,3]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,2,2,2],[4,4]]=>([(0,1),(1,4),(1,5),(1,7),(2,11),(3,6),(3,15),(4,12),(5,13),(6,10),(7,12),(7,13),(9,8),(10,8),(11,9),(12,2),(12,14),(13,3),(13,14),(14,11),(14,15),(15,9),(15,10)],16)
[[1,2,2,4],[2,4]]=>([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17)
[[1,2,2,3],[3,4]]=>([(0,8),(1,12),(2,13),(3,10),(3,11),(4,9),(4,10),(5,9),(5,11),(6,1),(7,2),(7,14),(8,3),(8,4),(8,5),(9,15),(10,6),(11,7),(11,15),(12,16),(13,16),(14,12),(14,13),(15,14)],17)
[[1,2,2,4],[3,3]]=>([(0,9),(0,11),(1,12),(2,13),(3,14),(4,17),(5,15),(5,18),(6,3),(6,12),(7,5),(7,13),(7,14),(8,4),(9,10),(10,2),(10,7),(11,1),(11,6),(12,8),(13,15),(13,19),(14,18),(14,19),(15,20),(17,16),(18,17),(18,20),(19,20),(20,16)],21)
[[1,2,3,3],[2,4]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,2,3,4],[2,3]]=>([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23)
[[1,2,2,3],[4,4]]=>([(0,2),(1,9),(2,6),(2,7),(2,8),(3,20),(4,5),(4,21),(5,18),(6,13),(6,16),(7,13),(7,17),(8,16),(8,17),(9,12),(9,15),(10,23),(11,23),(12,22),(13,1),(14,11),(14,22),(15,10),(15,22),(16,3),(16,19),(17,4),(17,19),(18,10),(18,11),(19,20),(19,21),(20,12),(20,14),(21,14),(21,15),(21,18),(22,23)],24)
[[1,2,2,4],[3,4]]=>([(0,10),(0,12),(1,13),(2,23),(3,15),(4,20),(5,19),(6,14),(6,21),(7,3),(7,13),(8,6),(8,15),(8,23),(9,4),(10,11),(11,2),(11,8),(12,1),(12,7),(13,9),(14,19),(14,24),(15,16),(15,21),(16,24),(17,22),(18,22),(19,18),(20,17),(21,20),(21,24),(23,5),(23,14),(23,16),(24,17),(24,18)],25)
[[1,2,3,4],[2,4]]=>([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28)
[[1,2,4,4],[2,3]]=>([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26)
[[1,2,2,4],[4,4]]=>([(0,11),(0,13),(1,14),(2,25),(3,26),(4,17),(5,21),(6,18),(7,15),(7,22),(8,4),(8,14),(9,7),(9,17),(9,26),(10,5),(11,12),(12,3),(12,9),(13,1),(13,8),(14,10),(15,25),(15,27),(16,18),(16,23),(17,19),(17,22),(18,24),(19,27),(20,23),(21,20),(22,21),(22,27),(23,24),(25,6),(25,16),(26,2),(26,15),(26,19),(27,16),(27,20)],28)
[[1,2,4,4],[2,4]]=>([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28)
[[1,2,3,3],[3,4]]=>([(0,11),(1,12),(1,13),(2,12),(2,14),(3,15),(4,19),(5,16),(6,17),(7,4),(7,13),(7,14),(8,3),(9,5),(9,20),(10,6),(10,18),(11,1),(11,2),(11,7),(12,21),(13,9),(13,21),(14,10),(14,19),(16,22),(17,22),(18,8),(19,18),(20,16),(20,17),(21,20),(22,15)],23)
[[1,2,3,4],[3,3]]=>([(0,10),(0,12),(1,15),(2,13),(2,14),(3,13),(3,18),(4,19),(5,16),(5,17),(6,7),(7,4),(7,14),(8,5),(8,21),(8,22),(9,8),(9,20),(10,6),(11,2),(11,3),(11,15),(12,1),(12,11),(13,23),(14,19),(14,23),(15,9),(15,18),(16,26),(17,26),(18,20),(19,21),(19,24),(20,22),(21,16),(21,25),(22,17),(22,25),(23,24),(24,25),(25,26)],27)
[[1,3,3,3],[2,4]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,2,3,3],[4,4]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,22),(4,6),(4,23),(5,15),(6,21),(7,13),(7,18),(8,13),(8,19),(9,18),(9,19),(10,14),(10,16),(11,25),(12,25),(13,1),(14,24),(16,11),(16,24),(17,12),(17,24),(18,3),(18,20),(19,4),(19,20),(20,22),(20,23),(21,11),(21,12),(22,14),(22,17),(23,16),(23,17),(23,21),(24,5),(24,25),(25,15)],26)
[[1,2,3,4],[3,4]]=>([(0,2),(0,3),(1,4),(1,15),(2,1),(3,9),(3,10),(3,11),(4,41),(5,6),(5,18),(6,22),(7,13),(7,39),(8,14),(8,25),(9,36),(9,38),(10,17),(10,37),(10,38),(11,36),(11,37),(12,33),(12,34),(13,32),(13,35),(14,20),(14,21),(15,16),(15,40),(15,41),(16,26),(16,30),(17,31),(17,40),(18,8),(19,42),(20,42),(21,42),(22,24),(23,39),(24,21),(25,20),(26,33),(26,43),(27,19),(28,19),(29,34),(29,43),(30,32),(30,43),(31,18),(32,27),(33,28),(34,25),(35,24),(36,23),(37,7),(37,23),(38,5),(38,31),(39,22),(39,35),(40,29),(40,30),(41,12),(41,26),(41,29),(43,27),(43,28)],44)
[[1,2,4,4],[3,3]]=>([(0,2),(0,3),(1,6),(2,1),(3,4),(3,8),(4,24),(5,27),(6,9),(6,28),(7,13),(7,23),(8,11),(8,12),(8,24),(9,25),(10,16),(10,22),(11,19),(11,21),(12,21),(12,28),(13,10),(13,20),(13,26),(14,29),(15,30),(16,31),(17,30),(18,14),(19,23),(20,16),(20,29),(21,18),(22,15),(22,31),(23,5),(23,26),(24,7),(24,19),(25,14),(25,20),(26,22),(26,27),(26,29),(27,15),(27,17),(28,18),(28,25),(29,17),(29,31),(31,30)],32)
[[1,3,3,4],[2,4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30)
[[1,2,3,4],[4,4]]=>([(0,2),(0,3),(1,6),(1,16),(2,1),(3,10),(3,11),(3,15),(4,43),(5,7),(5,21),(6,45),(7,31),(8,14),(8,23),(9,12),(9,41),(10,38),(10,40),(11,38),(11,39),(12,34),(12,35),(13,33),(13,36),(14,22),(14,37),(15,18),(15,39),(15,40),(16,17),(16,44),(16,45),(17,27),(17,28),(18,25),(18,44),(19,47),(20,47),(21,8),(22,46),(23,37),(24,22),(25,21),(26,33),(26,48),(27,36),(27,48),(28,34),(28,48),(29,32),(30,41),(31,24),(32,20),(32,46),(33,23),(34,29),(35,24),(36,4),(36,42),(37,19),(37,46),(38,30),(39,9),(39,30),(40,5),(40,25),(41,31),(41,35),(42,32),(42,43),(43,19),(43,20),(44,26),(44,28),(45,13),(45,26),(45,27),(46,47),(48,29),(48,42)],49)
[[1,2,4,4],[3,4]]=>([(0,2),(0,3),(1,7),(2,1),(3,5),(3,9),(4,31),(5,27),(6,25),(7,10),(7,30),(8,14),(8,26),(9,12),(9,13),(9,27),(10,28),(11,16),(11,24),(12,20),(12,22),(13,22),(13,30),(14,11),(14,21),(14,29),(15,32),(16,34),(18,33),(19,15),(20,26),(21,16),(21,32),(22,19),(23,25),(23,33),(24,23),(24,34),(25,17),(26,4),(26,29),(27,8),(27,20),(28,15),(28,21),(29,24),(29,31),(29,32),(30,19),(30,28),(31,6),(31,18),(31,23),(32,18),(32,34),(33,17),(34,33)],35)
[[1,3,4,4],[2,4]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45)
[[1,2,4,4],[4,4]]=>([(0,2),(0,3),(1,8),(2,1),(3,4),(3,10),(4,29),(5,27),(6,33),(7,19),(8,11),(8,32),(9,15),(9,28),(10,13),(10,14),(10,29),(11,30),(12,16),(12,21),(13,24),(13,25),(14,25),(14,32),(15,12),(15,26),(15,31),(16,35),(17,34),(18,36),(20,17),(21,22),(21,35),(22,27),(22,36),(23,19),(24,28),(25,20),(26,16),(26,34),(27,7),(27,23),(28,6),(28,31),(29,9),(29,24),(30,17),(30,26),(31,21),(31,33),(31,34),(32,20),(32,30),(33,5),(33,18),(33,22),(34,18),(34,35),(35,36),(36,23)],37)
[[1,3,3,3],[3,4]]=>([(0,9),(2,15),(3,14),(4,11),(5,13),(6,7),(6,14),(7,5),(7,10),(8,1),(9,3),(9,6),(10,13),(10,15),(11,8),(12,11),(13,12),(14,2),(14,10),(15,4),(15,12)],16)
[[1,3,3,3],[4,4]]=>([(0,3),(1,11),(3,8),(3,9),(3,10),(4,23),(5,7),(5,24),(6,16),(7,22),(8,14),(8,19),(9,14),(9,20),(10,19),(10,20),(11,15),(11,17),(12,26),(13,26),(14,1),(15,25),(16,2),(17,12),(17,25),(18,13),(18,25),(19,4),(19,21),(20,5),(20,21),(21,23),(21,24),(22,12),(22,13),(23,15),(23,18),(24,17),(24,18),(24,22),(25,6),(25,26),(26,16)],27)
[[1,3,3,4],[3,4]]=>([(0,2),(0,3),(1,9),(1,13),(2,1),(3,5),(3,7),(4,30),(5,26),(6,23),(7,14),(7,26),(8,10),(8,24),(9,25),(10,15),(11,17),(11,18),(12,21),(12,22),(13,25),(13,29),(14,12),(14,28),(14,29),(16,31),(17,31),(18,8),(18,31),(19,18),(20,16),(21,20),(22,19),(23,11),(23,19),(24,15),(25,4),(25,27),(26,6),(26,28),(27,20),(27,30),(28,22),(28,23),(29,21),(29,27),(30,16),(30,17),(31,24)],32)
[[1,3,3,4],[4,4]]=>([(0,2),(0,3),(1,7),(1,19),(2,1),(3,12),(3,13),(3,18),(4,50),(5,49),(6,27),(7,53),(8,26),(9,15),(9,54),(10,17),(10,24),(11,16),(11,30),(12,45),(12,46),(13,44),(13,46),(14,39),(14,41),(15,40),(15,52),(16,28),(16,43),(17,29),(17,42),(18,21),(18,44),(18,45),(19,20),(19,51),(19,53),(20,33),(20,34),(21,36),(21,51),(22,58),(23,58),(24,11),(25,57),(26,6),(28,55),(29,56),(30,43),(31,28),(31,57),(32,39),(32,59),(33,41),(33,59),(34,40),(34,59),(35,38),(36,24),(37,25),(37,56),(38,22),(38,55),(39,30),(40,35),(41,4),(41,47),(42,31),(42,56),(43,23),(43,55),(44,10),(44,36),(45,9),(45,48),(46,5),(46,48),(47,38),(47,50),(48,49),(48,54),(49,29),(49,37),(50,22),(50,23),(51,32),(51,34),(52,25),(52,31),(53,14),(53,32),(53,33),(54,37),(54,42),(54,52),(55,58),(56,8),(56,57),(57,26),(58,27),(59,35),(59,47)],60)
[[1,3,4,4],[3,4]]=>([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,36),(4,44),(5,35),(6,34),(7,13),(7,45),(8,16),(8,37),(9,38),(10,39),(11,17),(11,38),(12,18),(12,19),(12,39),(13,30),(14,23),(14,24),(15,25),(15,40),(16,21),(16,32),(17,15),(17,42),(17,43),(18,33),(18,43),(19,31),(19,33),(21,47),(22,46),(23,46),(24,7),(24,46),(25,26),(26,24),(27,34),(28,22),(28,47),(29,20),(30,20),(31,37),(32,36),(32,47),(33,4),(33,41),(34,29),(35,14),(35,26),(36,6),(36,27),(37,3),(37,32),(38,5),(38,42),(39,8),(39,31),(40,21),(40,28),(41,28),(41,44),(42,25),(42,35),(43,40),(43,41),(44,22),(44,23),(45,29),(45,30),(46,45),(47,27)],48)
[[1,3,4,4],[4,4]]=>([(0,1),(0,2),(1,11),(1,12),(2,9),(2,10),(3,43),(4,53),(5,52),(6,20),(6,44),(7,42),(8,13),(8,54),(9,46),(10,21),(10,46),(11,45),(12,18),(12,19),(12,45),(13,33),(14,38),(14,51),(15,37),(15,41),(16,24),(16,39),(17,25),(17,26),(18,32),(18,40),(19,40),(19,48),(20,16),(20,36),(20,49),(21,14),(21,47),(21,48),(23,55),(24,56),(25,55),(26,8),(26,55),(27,22),(28,41),(28,58),(29,27),(30,26),(31,42),(32,44),(33,27),(34,37),(34,58),(35,23),(35,57),(36,24),(36,57),(37,29),(38,30),(39,28),(39,56),(40,5),(40,50),(41,7),(41,31),(42,22),(43,17),(43,30),(44,4),(44,49),(45,6),(45,32),(46,3),(46,47),(47,38),(47,43),(48,50),(48,51),(49,39),(49,53),(49,57),(50,35),(50,52),(51,35),(51,36),(52,23),(52,25),(53,15),(53,28),(53,34),(54,29),(54,33),(55,54),(56,58),(57,34),(57,56),(58,31)],59)
[[2,2,2,2],[3,4]]=>([(0,7),(1,9),(2,8),(3,8),(3,9),(4,10),(5,4),(5,12),(6,5),(6,11),(7,1),(7,2),(7,3),(8,13),(9,6),(9,13),(11,12),(12,10),(13,11)],14)
[[2,2,2,2],[4,4]]=>([(0,1),(1,4),(1,5),(1,8),(2,13),(3,7),(3,18),(4,14),(5,15),(6,12),(7,6),(7,16),(8,14),(8,15),(10,11),(11,9),(12,9),(13,10),(14,2),(14,17),(15,3),(15,17),(16,11),(16,12),(17,13),(17,18),(18,10),(18,16)],19)
[[2,2,2,3],[3,4]]=>([(0,2),(1,4),(2,7),(2,8),(2,9),(3,6),(3,19),(4,17),(5,14),(6,5),(6,18),(7,11),(7,15),(8,15),(8,16),(9,11),(9,16),(11,1),(12,19),(13,10),(14,10),(15,12),(16,3),(16,12),(17,13),(18,13),(18,14),(19,17),(19,18)],20)
[[2,2,2,4],[3,3]]=>([(0,10),(0,12),(1,13),(2,14),(3,15),(4,16),(5,17),(5,19),(6,3),(6,13),(7,5),(7,14),(7,15),(8,4),(8,20),(9,8),(10,11),(11,2),(11,7),(12,1),(12,6),(13,9),(14,17),(14,22),(15,19),(15,22),(16,21),(17,23),(18,21),(19,20),(19,23),(20,16),(20,18),(22,23),(23,18)],24)
[[2,2,2,3],[4,4]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,23),(4,5),(4,25),(5,6),(5,24),(6,22),(7,12),(7,19),(8,12),(8,20),(9,19),(9,20),(10,11),(10,15),(11,26),(12,1),(13,27),(14,27),(15,17),(15,26),(16,18),(16,26),(17,13),(17,28),(18,14),(18,28),(19,3),(19,21),(20,4),(20,21),(21,23),(21,25),(22,13),(22,14),(23,11),(23,16),(24,17),(24,18),(24,22),(25,15),(25,16),(25,24),(26,28),(28,27)],29)
[[2,2,2,4],[3,4]]=>([(0,3),(0,4),(1,9),(2,8),(2,13),(3,2),(4,6),(4,7),(5,23),(6,16),(7,11),(7,16),(8,27),(9,10),(9,26),(10,17),(11,24),(12,20),(12,21),(13,12),(13,24),(13,27),(15,28),(16,1),(17,18),(18,14),(19,14),(20,23),(20,28),(21,26),(21,28),(22,19),(23,22),(24,15),(24,21),(25,18),(25,19),(26,17),(26,25),(27,5),(27,15),(27,20),(28,22),(28,25)],29)
[[2,2,2,4],[4,4]]=>([(0,3),(0,4),(1,10),(2,9),(2,14),(3,2),(4,7),(4,8),(5,25),(6,24),(7,17),(8,12),(8,17),(9,31),(10,11),(10,30),(11,19),(12,26),(13,22),(13,23),(14,13),(14,26),(14,31),(16,32),(17,1),(18,20),(19,18),(20,15),(21,15),(22,25),(22,32),(23,30),(23,32),(24,21),(25,6),(25,29),(26,16),(26,23),(27,20),(27,21),(28,18),(28,27),(29,24),(29,27),(30,19),(30,28),(31,5),(31,16),(31,22),(32,28),(32,29)],33)
[[2,2,3,3],[3,4]]=>([(0,2),(1,6),(2,10),(2,11),(2,12),(3,9),(3,26),(4,22),(5,7),(5,14),(6,23),(7,16),(8,17),(9,8),(9,24),(10,19),(10,21),(11,19),(11,20),(12,4),(12,20),(12,21),(14,1),(15,26),(16,25),(17,18),(18,13),(19,15),(20,3),(20,15),(21,5),(21,22),(22,14),(23,13),(24,17),(24,25),(25,18),(25,23),(26,16),(26,24)],27)
[[2,2,3,4],[3,3]]=>([(0,2),(0,3),(1,4),(2,7),(2,8),(3,6),(3,9),(4,10),(4,36),(5,15),(5,31),(6,32),(7,23),(8,11),(8,23),(9,16),(9,17),(9,32),(10,34),(11,12),(11,37),(12,33),(13,18),(13,25),(14,21),(14,30),(15,14),(15,28),(15,29),(16,27),(16,35),(17,13),(17,35),(17,37),(18,41),(19,38),(20,39),(21,40),(22,39),(23,1),(24,19),(24,41),(25,36),(25,41),(26,20),(27,31),(28,30),(28,38),(29,21),(29,38),(30,22),(30,40),(31,29),(32,5),(32,27),(33,19),(33,28),(34,20),(34,22),(35,18),(35,24),(36,26),(36,34),(37,24),(37,25),(37,33),(38,40),(40,39),(41,26)],42)
[[2,2,3,3],[4,4]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,26),(4,23),(5,6),(5,28),(6,7),(6,27),(7,25),(8,13),(8,21),(9,13),(9,22),(10,21),(10,22),(11,12),(11,17),(12,30),(13,1),(14,29),(15,29),(17,19),(17,30),(18,20),(18,30),(19,14),(19,31),(20,15),(20,31),(21,3),(21,24),(22,5),(22,24),(23,16),(24,26),(24,28),(25,14),(25,15),(26,12),(26,18),(27,19),(27,20),(27,25),(28,17),(28,18),(28,27),(29,16),(30,4),(30,31),(31,23),(31,29)],32)
[[2,2,3,4],[3,4]]=>([(0,2),(0,3),(1,5),(1,14),(2,1),(3,9),(3,10),(3,11),(4,6),(4,21),(5,48),(6,24),(7,13),(7,26),(8,15),(8,42),(9,39),(9,41),(10,18),(10,40),(10,41),(11,39),(11,40),(12,36),(12,37),(13,22),(13,38),(14,16),(14,46),(14,48),(15,17),(15,45),(15,47),(16,27),(16,32),(17,29),(17,30),(18,23),(18,46),(19,50),(20,50),(21,7),(22,49),(23,21),(24,43),(25,42),(26,22),(27,37),(27,51),(28,35),(29,34),(30,33),(31,36),(31,51),(32,45),(32,51),(33,20),(34,19),(35,20),(35,49),(36,26),(37,28),(38,19),(38,49),(39,25),(40,8),(40,25),(41,4),(41,23),(42,24),(42,47),(43,34),(43,38),(44,33),(44,35),(45,30),(45,44),(46,31),(46,32),(47,29),(47,43),(48,12),(48,27),(48,31),(49,50),(51,28),(51,44)],52)
[[2,2,4,4],[3,3]]=>([(0,2),(0,3),(1,5),(2,8),(2,9),(3,7),(3,10),(4,41),(5,11),(5,40),(6,17),(6,34),(7,35),(8,26),(9,12),(9,26),(10,16),(10,18),(10,35),(11,37),(12,13),(12,42),(13,36),(14,32),(14,33),(15,19),(15,28),(16,30),(16,39),(17,14),(17,31),(17,38),(18,15),(18,39),(18,42),(19,47),(20,43),(21,45),(22,44),(23,45),(24,44),(26,1),(27,20),(27,47),(28,40),(28,47),(29,21),(30,34),(31,32),(31,43),(32,23),(32,46),(33,22),(33,46),(34,4),(34,38),(35,6),(35,30),(36,20),(36,31),(37,21),(37,23),(38,33),(38,41),(38,43),(39,19),(39,27),(40,29),(40,37),(41,22),(41,24),(42,27),(42,28),(42,36),(43,24),(43,46),(44,25),(45,25),(46,44),(46,45),(47,29)],48)
[[2,2,3,4],[4,4]]=>([(0,2),(0,3),(1,6),(1,16),(2,1),(3,11),(3,12),(3,15),(4,46),(5,7),(5,23),(6,53),(7,30),(8,10),(8,25),(9,14),(9,44),(10,39),(10,40),(11,41),(11,43),(12,41),(12,42),(13,37),(13,38),(14,17),(14,50),(14,52),(15,18),(15,42),(15,43),(16,19),(16,51),(16,53),(17,26),(17,28),(18,27),(18,51),(19,35),(19,36),(20,58),(21,57),(22,56),(23,8),(24,31),(25,39),(26,33),(27,23),(28,24),(29,44),(30,45),(31,20),(31,57),(32,20),(32,56),(33,21),(34,37),(34,55),(35,38),(35,55),(36,50),(36,55),(37,25),(38,4),(38,48),(39,22),(39,54),(40,21),(40,54),(41,29),(42,9),(42,29),(43,5),(43,27),(44,30),(44,52),(45,33),(45,40),(46,22),(46,32),(47,31),(47,32),(47,54),(48,46),(48,47),(49,24),(49,47),(50,28),(50,49),(51,34),(51,36),(52,26),(52,45),(53,13),(53,34),(53,35),(54,56),(54,57),(55,48),(55,49),(56,58),(57,58)],59)
[[2,2,4,4],[3,4]]=>([(0,2),(0,3),(1,6),(2,8),(2,11),(3,9),(3,10),(4,45),(5,37),(6,12),(6,44),(7,18),(7,38),(8,39),(9,26),(10,13),(10,26),(11,17),(11,19),(11,39),(12,41),(13,14),(13,46),(14,40),(15,27),(15,31),(16,23),(16,30),(17,35),(17,42),(18,15),(18,36),(18,43),(19,16),(19,42),(19,46),(21,50),(22,50),(23,49),(24,47),(25,51),(26,1),(27,28),(27,48),(28,37),(28,51),(29,24),(29,49),(30,44),(30,49),(31,21),(31,48),(32,20),(33,20),(34,22),(35,38),(36,31),(36,47),(37,33),(38,4),(38,43),(39,7),(39,35),(40,24),(40,36),(41,21),(41,22),(42,23),(42,29),(43,27),(43,45),(43,47),(44,34),(44,41),(45,5),(45,25),(45,28),(46,29),(46,30),(46,40),(47,25),(47,48),(48,50),(48,51),(49,34),(50,32),(51,32),(51,33)],52)
[[2,2,4,4],[4,4]]=>([(0,2),(0,3),(1,7),(2,9),(2,12),(3,10),(3,11),(4,40),(5,48),(6,38),(7,13),(7,47),(8,19),(8,39),(9,41),(10,27),(11,14),(11,27),(12,18),(12,20),(12,41),(13,43),(14,15),(14,49),(15,42),(16,29),(16,30),(17,24),(17,35),(18,31),(18,45),(19,16),(19,32),(19,44),(20,17),(20,45),(20,49),(22,50),(23,54),(24,53),(25,54),(26,52),(27,1),(28,21),(29,33),(29,51),(30,23),(30,51),(31,39),(32,30),(32,50),(33,40),(33,52),(34,22),(34,53),(35,47),(35,53),(36,25),(37,28),(38,21),(39,5),(39,44),(40,6),(40,46),(41,8),(41,31),(42,22),(42,32),(43,23),(43,25),(44,29),(44,48),(44,50),(45,24),(45,34),(46,28),(46,38),(47,36),(47,43),(48,4),(48,26),(48,33),(49,34),(49,35),(49,42),(50,26),(50,51),(51,52),(51,54),(52,37),(52,46),(53,36),(54,37)],55)
[[2,3,3,3],[3,4]]=>([(0,2),(1,7),(2,13),(2,14),(2,15),(3,12),(3,33),(4,8),(4,32),(5,10),(5,29),(6,9),(6,17),(7,16),(8,21),(9,24),(10,20),(11,23),(12,11),(12,30),(13,26),(13,28),(14,26),(14,27),(15,4),(15,27),(15,28),(17,1),(18,33),(19,17),(20,31),(21,19),(22,25),(23,22),(24,25),(25,16),(26,18),(27,3),(27,18),(28,5),(28,32),(29,6),(29,19),(30,23),(30,31),(31,22),(31,24),(32,21),(32,29),(33,20),(33,30)],34)
[[2,3,3,3],[4,4]]=>([(0,2),(1,12),(2,9),(2,10),(2,11),(3,8),(3,30),(4,28),(5,17),(6,25),(7,27),(8,7),(8,29),(9,16),(9,23),(10,16),(10,24),(11,23),(11,24),(12,15),(12,18),(13,33),(14,33),(15,31),(16,1),(18,20),(18,31),(19,21),(19,31),(20,13),(20,32),(21,14),(21,32),(22,17),(23,3),(23,26),(24,4),(24,26),(25,5),(25,22),(26,28),(26,30),(27,13),(27,14),(28,15),(28,19),(29,20),(29,21),(29,27),(30,18),(30,19),(30,29),(31,6),(31,32),(32,25),(32,33),(33,22)],34)
[[2,3,3,4],[3,4]]=>([(0,2),(0,3),(1,5),(1,16),(2,1),(3,10),(3,11),(3,12),(4,6),(4,45),(5,59),(6,42),(7,14),(7,29),(8,15),(8,51),(9,21),(9,25),(9,47),(10,48),(10,50),(11,20),(11,49),(11,50),(12,48),(12,49),(13,46),(13,58),(14,26),(14,27),(15,17),(15,56),(15,57),(16,18),(16,59),(16,60),(17,30),(17,31),(18,32),(18,35),(19,34),(19,41),(20,19),(20,53),(20,60),(21,23),(21,39),(22,65),(23,61),(24,63),(25,7),(25,65),(26,62),(27,62),(28,25),(29,26),(30,37),(31,38),(32,46),(32,64),(33,40),(34,43),(35,56),(35,64),(36,51),(37,44),(38,24),(39,44),(39,61),(40,24),(40,61),(41,28),(42,52),(43,22),(44,27),(44,63),(45,9),(45,28),(46,33),(47,23),(47,65),(48,36),(49,8),(49,36),(50,4),(50,53),(51,42),(51,57),(52,37),(52,39),(53,41),(53,45),(54,38),(54,40),(55,43),(55,58),(55,64),(56,31),(56,54),(57,30),(57,52),(58,22),(58,47),(59,13),(59,32),(59,55),(60,34),(60,35),(60,55),(61,63),(63,62),(64,33),(64,54),(65,29)],66)
[[2,3,3,4],[4,4]]=>([(0,2),(0,3),(1,6),(1,19),(2,1),(3,13),(3,14),(3,18),(4,57),(5,56),(6,63),(7,44),(8,17),(8,64),(9,11),(9,23),(10,15),(10,32),(11,29),(11,47),(12,45),(12,46),(13,51),(13,52),(14,50),(14,52),(15,48),(15,49),(16,28),(16,30),(17,21),(17,61),(17,65),(18,20),(18,50),(18,51),(19,22),(19,62),(19,63),(20,38),(20,62),(21,33),(21,55),(22,41),(22,42),(23,10),(24,72),(25,70),(26,71),(27,73),(28,69),(29,67),(30,69),(31,36),(32,48),(33,31),(34,28),(35,24),(35,71),(36,24),(36,70),(37,27),(37,74),(38,23),(39,25),(39,73),(40,45),(40,66),(41,46),(41,66),(42,61),(42,66),(43,37),(43,67),(44,16),(44,34),(45,32),(46,4),(46,59),(47,53),(47,67),(48,26),(48,68),(49,25),(49,68),(50,9),(50,38),(51,8),(51,54),(52,5),(52,54),(53,39),(53,49),(53,74),(54,56),(54,64),(55,27),(55,39),(56,29),(56,43),(57,26),(57,35),(58,35),(58,36),(58,68),(59,57),(59,58),(60,31),(60,58),(61,33),(61,60),(62,40),(62,42),(63,12),(63,40),(63,41),(64,43),(64,47),(64,65),(65,37),(65,53),(65,55),(66,59),(66,60),(67,7),(67,74),(68,70),(68,71),(70,72),(71,30),(71,72),(72,69),(73,34),(74,44),(74,73)],75)
[[2,3,4,4],[3,4]]=>([(0,1),(0,2),(1,6),(1,10),(2,11),(2,12),(2,13),(3,78),(4,5),(4,59),(5,48),(6,37),(7,20),(7,54),(8,17),(8,77),(9,18),(9,70),(10,14),(10,21),(10,37),(11,67),(11,69),(12,27),(12,68),(12,69),(13,67),(13,68),(14,63),(14,83),(15,62),(15,81),(16,60),(16,61),(17,34),(17,65),(18,24),(18,80),(18,82),(19,23),(19,35),(19,66),(20,25),(20,64),(20,79),(21,22),(21,83),(21,84),(22,42),(22,44),(23,33),(23,56),(24,39),(24,76),(25,55),(25,57),(26,47),(26,74),(27,26),(27,72),(27,84),(28,90),(29,90),(30,89),(31,93),(32,86),(33,85),(34,88),(35,8),(35,86),(36,35),(37,7),(37,63),(38,34),(38,89),(39,46),(40,61),(40,94),(41,60),(41,94),(42,62),(42,91),(43,58),(44,80),(44,91),(45,70),(46,38),(47,36),(48,71),(49,32),(49,92),(50,28),(51,29),(52,29),(53,30),(53,93),(54,3),(54,79),(55,41),(55,87),(56,38),(56,85),(57,31),(57,87),(58,30),(58,85),(59,19),(59,36),(60,52),(61,50),(62,43),(63,54),(64,57),(64,92),(65,28),(65,88),(66,33),(66,86),(67,45),(68,9),(68,45),(69,4),(69,72),(70,48),(70,82),(71,46),(71,56),(72,47),(72,59),(73,53),(73,58),(74,49),(74,64),(75,49),(75,81),(75,91),(76,31),(76,53),(77,50),(77,65),(78,16),(78,40),(78,41),(79,55),(79,78),(79,92),(80,73),(80,76),(81,32),(81,66),(82,39),(82,71),(83,15),(83,42),(83,75),(84,44),(84,74),(84,75),(85,89),(86,77),(87,93),(87,94),(88,90),(89,88),(91,43),(91,73),(92,40),(92,87),(93,51),(94,51),(94,52)],95)
[[2,3,4,4],[4,4]]=>([(0,1),(0,2),(1,7),(1,11),(2,13),(2,14),(2,15),(3,80),(4,82),(5,6),(5,61),(6,54),(7,39),(8,21),(8,57),(9,12),(9,81),(10,20),(10,73),(11,17),(11,22),(11,39),(12,36),(12,68),(13,69),(13,71),(14,27),(14,70),(14,71),(15,69),(15,70),(16,63),(16,67),(17,64),(17,87),(18,62),(18,86),(19,28),(19,35),(19,66),(20,24),(20,84),(20,85),(21,25),(21,65),(21,83),(22,23),(22,87),(22,88),(23,45),(23,47),(24,43),(24,79),(25,44),(25,55),(26,49),(26,77),(27,26),(27,76),(27,88),(28,31),(28,51),(29,99),(30,90),(31,91),(32,95),(33,92),(34,92),(35,9),(35,90),(36,94),(37,60),(38,67),(38,97),(39,8),(39,64),(40,53),(41,59),(42,35),(43,50),(44,38),(44,89),(45,62),(45,98),(46,63),(46,97),(47,84),(47,98),(48,73),(49,42),(50,58),(51,58),(51,91),(52,32),(52,99),(53,32),(53,91),(54,74),(55,29),(55,89),(56,30),(56,96),(57,4),(57,83),(58,36),(58,95),(59,33),(59,93),(60,34),(60,93),(61,19),(61,42),(62,40),(63,41),(64,57),(65,55),(65,96),(66,31),(66,90),(67,3),(67,75),(68,59),(68,94),(69,48),(70,10),(70,48),(71,5),(71,76),(72,52),(72,53),(73,54),(73,85),(74,50),(74,51),(75,60),(75,80),(76,49),(76,61),(77,56),(77,65),(78,56),(78,86),(78,98),(79,29),(79,52),(80,33),(80,34),(81,41),(81,68),(82,16),(82,38),(82,46),(83,44),(83,82),(83,96),(84,72),(84,79),(85,43),(85,74),(86,30),(86,66),(87,18),(87,45),(87,78),(88,47),(88,77),(88,78),(89,97),(89,99),(90,81),(91,95),(93,92),(94,93),(95,94),(96,46),(96,89),(97,37),(97,75),(98,40),(98,72),(99,37)],100)
[[3,3,3,3],[4,4]]=>([(0,3),(1,13),(3,10),(3,11),(3,12),(4,9),(4,31),(5,29),(6,18),(7,26),(8,28),(9,8),(9,30),(10,17),(10,24),(11,17),(11,25),(12,24),(12,25),(13,16),(13,19),(14,34),(15,34),(16,32),(17,1),(18,2),(19,21),(19,32),(20,22),(20,32),(21,14),(21,33),(22,15),(22,33),(23,18),(24,4),(24,27),(25,5),(25,27),(26,6),(26,23),(27,29),(27,31),(28,14),(28,15),(29,16),(29,20),(30,21),(30,22),(30,28),(31,19),(31,20),(31,30),(32,7),(32,33),(33,26),(33,34),(34,23)],35)
[[3,3,3,4],[4,4]]=>([(0,2),(0,3),(1,7),(1,20),(2,1),(3,14),(3,15),(3,19),(4,59),(5,58),(6,29),(7,65),(8,46),(9,18),(9,66),(10,12),(10,24),(11,16),(11,34),(12,31),(12,49),(13,47),(13,48),(14,53),(14,54),(15,52),(15,54),(16,50),(16,51),(17,30),(17,32),(18,22),(18,63),(18,67),(19,21),(19,52),(19,53),(20,23),(20,64),(20,65),(21,40),(21,64),(22,35),(22,57),(23,43),(23,44),(24,11),(25,74),(26,72),(27,73),(28,75),(30,6),(30,71),(31,69),(32,71),(33,38),(34,50),(35,33),(36,30),(37,25),(37,73),(38,25),(38,72),(39,28),(39,76),(40,24),(41,26),(41,75),(42,47),(42,68),(43,48),(43,68),(44,63),(44,68),(45,39),(45,69),(46,17),(46,36),(47,34),(48,4),(48,61),(49,55),(49,69),(50,27),(50,70),(51,26),(51,70),(52,10),(52,40),(53,9),(53,56),(54,5),(54,56),(55,41),(55,51),(55,76),(56,58),(56,66),(57,28),(57,41),(58,31),(58,45),(59,27),(59,37),(60,37),(60,38),(60,70),(61,59),(61,60),(62,33),(62,60),(63,35),(63,62),(64,42),(64,44),(65,13),(65,42),(65,43),(66,45),(66,49),(66,67),(67,39),(67,55),(67,57),(68,61),(68,62),(69,8),(69,76),(70,72),(70,73),(71,29),(72,74),(73,32),(73,74),(74,71),(75,36),(76,46),(76,75)],77)
[[3,3,4,4],[4,4]]=>([(0,1),(0,2),(1,8),(1,14),(2,18),(2,19),(2,20),(3,95),(4,94),(5,93),(6,65),(7,101),(8,53),(9,73),(10,23),(10,100),(11,25),(11,64),(12,15),(12,74),(13,27),(13,106),(14,22),(14,26),(14,53),(15,44),(15,82),(16,43),(16,46),(17,79),(17,103),(18,83),(18,85),(19,84),(19,85),(20,33),(20,83),(20,84),(21,75),(21,80),(22,77),(22,105),(23,42),(23,76),(24,28),(24,45),(24,81),(25,30),(25,78),(25,104),(26,31),(26,105),(26,107),(27,29),(27,102),(27,108),(28,70),(28,72),(29,91),(29,92),(30,68),(30,71),(31,67),(31,69),(32,56),(32,89),(33,32),(33,87),(33,107),(34,125),(35,121),(36,118),(37,118),(38,117),(39,119),(40,109),(42,116),(43,6),(43,120),(44,113),(45,10),(45,109),(46,120),(47,45),(48,60),(48,125),(49,63),(50,80),(50,123),(51,43),(52,75),(52,123),(53,11),(53,77),(54,61),(55,42),(55,115),(56,47),(57,55),(57,121),(58,40),(58,122),(59,39),(59,117),(60,39),(60,115),(61,36),(61,114),(62,35),(62,124),(63,37),(63,114),(64,7),(64,104),(65,41),(66,62),(66,113),(67,79),(67,112),(68,50),(68,110),(69,102),(69,112),(70,55),(70,111),(71,34),(71,110),(72,38),(72,111),(73,16),(73,51),(74,24),(74,47),(75,54),(76,61),(76,116),(77,64),(78,71),(78,122),(79,4),(79,98),(80,3),(80,86),(81,72),(81,109),(82,90),(82,113),(83,13),(83,88),(84,12),(84,87),(85,5),(85,88),(86,63),(86,95),(87,56),(87,74),(88,93),(88,106),(89,58),(89,78),(90,57),(90,70),(90,124),(91,34),(91,48),(92,35),(92,57),(93,44),(93,66),(94,38),(94,59),(95,36),(95,37),(96,59),(96,60),(96,111),(97,58),(97,103),(97,112),(98,94),(98,96),(99,48),(99,96),(100,54),(100,76),(101,21),(101,50),(101,52),(102,91),(102,99),(103,40),(103,81),(104,68),(104,101),(104,122),(105,17),(105,67),(105,97),(106,66),(106,82),(106,108),(107,69),(107,89),(107,97),(108,62),(108,90),(108,92),(109,100),(110,123),(110,125),(111,115),(111,117),(112,98),(112,99),(113,9),(113,124),(114,118),(115,116),(115,119),(116,114),(117,46),(117,119),(118,41),(119,120),(120,65),(121,51),(122,52),(122,110),(123,49),(123,86),(124,73),(124,121),(125,49)],126)
[[1,1,1,1],[2],[4]]=>([(0,1)],2)
[[1,1,1,1],[3],[4]]=>([(0,2),(2,1)],3)
[[1,1,1,2],[2],[4]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,2],[3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,3],[2],[4]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[[1,1,1,4],[2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,4],[2],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,3],[3],[4]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,1,4],[3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,2,2],[2],[4]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,2,2],[3],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,3],[2],[4]]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
[[1,1,2,4],[2],[3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,4],[2],[4]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,2,3],[3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,3,3],[2],[4]]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
[[1,1,3,4],[2],[3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,4],[3],[4]]=>([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15)
[[1,1,3,4],[2],[4]]=>([(0,5),(0,8),(1,14),(2,9),(2,10),(3,13),(4,11),(5,15),(6,7),(6,10),(7,3),(7,12),(8,2),(8,6),(8,15),(9,14),(10,12),(12,13),(13,11),(14,4),(15,1),(15,9)],16)
[[1,1,4,4],[2],[3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,4,4],[2],[4]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,1,3,3],[3],[4]]=>([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10)
[[1,1,3,4],[3],[4]]=>([(0,5),(0,9),(1,10),(1,11),(2,14),(3,12),(4,13),(5,17),(6,7),(6,11),(7,2),(7,15),(8,3),(8,16),(9,1),(9,6),(9,17),(10,13),(11,15),(13,8),(14,16),(15,14),(16,12),(17,4),(17,10)],18)
[[1,1,4,4],[3],[4]]=>([(0,7),(0,12),(1,13),(1,22),(2,17),(3,18),(4,15),(5,16),(6,19),(7,21),(8,9),(8,22),(9,6),(9,14),(10,4),(11,3),(11,20),(12,1),(12,8),(12,21),(13,16),(14,17),(14,19),(16,11),(17,10),(18,15),(19,20),(20,18),(21,5),(21,13),(22,2),(22,14)],23)
[[1,2,2,2],[2],[4]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,2,2,2],[3],[4]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,3],[2],[4]]=>([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)
[[1,2,2,4],[2],[3]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,2,4],[2],[4]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,2,2,3],[3],[4]]=>([(0,3),(0,8),(1,10),(2,9),(3,11),(4,7),(5,4),(6,2),(7,1),(7,9),(8,5),(8,11),(9,10),(11,6)],12)
[[1,2,3,3],[2],[4]]=>([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,3),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,1),(11,7),(12,2),(12,9)],13)
[[1,2,3,4],[2],[3]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,2,2,4],[3],[4]]=>([(0,10),(0,11),(1,14),(2,12),(3,12),(3,13),(4,9),(5,2),(6,4),(7,5),(8,3),(9,1),(9,13),(10,6),(10,17),(11,7),(11,17),(12,15),(13,14),(13,15),(14,16),(15,16),(17,8)],18)
[[1,2,3,4],[2],[4]]=>([(0,5),(0,6),(1,4),(1,22),(2,18),(3,20),(4,3),(4,19),(5,17),(6,1),(6,7),(6,17),(7,9),(7,21),(7,22),(8,11),(8,12),(9,13),(9,14),(10,23),(11,23),(12,23),(13,16),(14,15),(15,10),(16,12),(17,2),(17,21),(18,8),(18,16),(19,15),(19,20),(20,10),(20,11),(21,13),(21,18),(22,14),(22,19)],24)
[[1,2,4,4],[2],[3]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,4,4],[2],[4]]=>([(0,8),(1,12),(2,13),(2,14),(3,9),(4,10),(5,3),(5,16),(6,4),(6,16),(7,1),(7,11),(8,5),(8,6),(9,14),(9,15),(10,13),(10,15),(11,12),(13,17),(14,7),(14,17),(15,17),(16,2),(16,9),(16,10),(17,11)],18)
[[1,2,3,3],[3],[4]]=>([(0,10),(0,11),(1,15),(2,14),(3,12),(4,13),(5,9),(6,5),(7,3),(7,17),(8,1),(9,2),(9,12),(10,6),(10,16),(11,4),(11,16),(12,14),(13,17),(14,15),(16,7),(16,13),(17,8)],18)
[[1,3,3,3],[2],[4]]=>([(0,5),(0,7),(1,13),(3,12),(4,10),(5,11),(6,4),(6,8),(7,6),(7,11),(8,10),(8,12),(9,13),(10,9),(11,3),(11,8),(12,1),(12,9),(13,2)],14)
[[1,3,3,4],[2],[3]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,2,3,4],[3],[4]]=>([(0,13),(0,14),(1,15),(1,18),(2,16),(2,17),(3,24),(4,15),(4,21),(5,19),(5,20),(6,7),(7,3),(7,18),(8,6),(9,11),(9,17),(10,1),(10,27),(11,4),(11,23),(12,5),(12,22),(13,8),(13,28),(14,2),(14,9),(14,28),(15,25),(16,27),(17,23),(18,24),(18,25),(19,29),(20,29),(21,22),(22,19),(23,21),(24,20),(24,26),(25,26),(26,29),(27,12),(28,10),(28,16)],30)
[[1,3,3,4],[2],[4]]=>([(0,6),(0,7),(1,5),(1,24),(2,20),(3,14),(4,22),(5,4),(5,21),(6,19),(7,1),(7,8),(7,19),(8,10),(8,23),(8,24),(9,12),(9,13),(10,15),(10,16),(11,25),(12,25),(13,3),(13,25),(15,17),(16,18),(17,13),(18,11),(19,2),(19,23),(20,9),(20,17),(21,18),(21,22),(22,11),(22,12),(23,15),(23,20),(24,16),(24,21),(25,14)],26)
[[1,3,4,4],[2],[3]]=>([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19)
[[1,2,4,4],[3],[4]]=>([(0,16),(0,17),(1,19),(1,20),(2,18),(2,21),(3,27),(4,28),(5,19),(5,26),(6,22),(6,29),(7,34),(8,12),(9,8),(10,1),(10,32),(11,15),(11,21),(12,4),(12,20),(13,3),(14,6),(14,24),(15,5),(15,25),(16,9),(16,33),(17,2),(17,11),(17,33),(18,32),(19,30),(20,28),(20,30),(21,7),(21,25),(22,35),(24,29),(25,26),(25,34),(26,24),(27,23),(28,22),(28,31),(29,27),(29,35),(30,31),(31,35),(32,14),(33,10),(33,18),(34,13),(35,23)],36)
[[1,3,4,4],[2],[4]]=>([(0,8),(0,9),(1,25),(2,6),(2,31),(3,27),(4,5),(4,26),(5,22),(6,7),(6,32),(7,29),(8,24),(9,2),(9,10),(9,24),(10,13),(10,30),(10,31),(11,17),(11,18),(12,16),(12,19),(13,20),(13,28),(15,34),(16,33),(17,34),(18,3),(18,34),(19,4),(19,33),(20,21),(21,18),(22,14),(23,15),(23,33),(24,1),(24,30),(25,11),(25,21),(26,22),(27,14),(28,16),(28,23),(29,15),(29,17),(30,20),(30,25),(31,12),(31,28),(31,32),(32,19),(32,23),(32,29),(33,26),(34,27)],35)
[[1,4,4,4],[2],[3]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,4,4,4],[2],[4]]=>([(0,10),(2,18),(2,19),(3,14),(4,13),(5,11),(6,12),(7,5),(7,17),(8,6),(8,17),(9,1),(10,7),(10,8),(11,16),(11,18),(12,16),(12,19),(13,15),(14,15),(15,9),(16,20),(17,2),(17,11),(17,12),(18,4),(18,20),(19,3),(19,20),(20,13),(20,14)],21)
[[1,3,3,3],[3],[4]]=>([(0,5),(0,8),(2,14),(3,10),(4,12),(5,13),(6,4),(6,9),(7,1),(8,6),(8,13),(9,12),(9,14),(10,7),(11,10),(12,11),(13,2),(13,9),(14,3),(14,11)],15)
[[1,3,3,4],[3],[4]]=>([(0,7),(0,8),(1,6),(1,26),(2,21),(3,5),(3,22),(4,24),(5,12),(6,4),(6,23),(7,20),(8,1),(8,9),(8,20),(9,11),(9,25),(9,26),(10,14),(10,15),(11,16),(11,17),(13,27),(14,27),(15,3),(15,27),(16,18),(17,19),(18,15),(19,13),(20,2),(20,25),(21,10),(21,18),(22,12),(23,19),(23,24),(24,13),(24,14),(25,16),(25,21),(26,17),(26,23),(27,22)],28)
[[1,3,4,4],[3],[4]]=>([(0,9),(0,10),(1,29),(2,7),(2,33),(3,5),(3,34),(4,6),(4,28),(5,26),(6,23),(7,8),(7,35),(8,31),(9,27),(10,2),(10,12),(10,27),(11,18),(11,20),(12,14),(12,32),(12,33),(13,16),(13,19),(14,21),(14,30),(16,37),(17,36),(18,36),(19,4),(19,37),(20,3),(20,36),(21,22),(22,20),(23,25),(24,17),(24,37),(25,15),(26,15),(27,1),(27,32),(28,23),(29,11),(29,22),(30,16),(30,24),(31,17),(31,18),(32,21),(32,29),(33,13),(33,30),(33,35),(34,25),(34,26),(35,19),(35,24),(35,31),(36,34),(37,28)],38)
[[1,4,4,4],[3],[4]]=>([(0,12),(0,13),(1,7),(2,34),(3,11),(3,39),(4,33),(5,9),(5,40),(6,8),(6,38),(7,24),(8,30),(9,29),(10,36),(11,10),(11,41),(12,32),(13,3),(13,16),(13,32),(14,20),(14,23),(15,21),(15,22),(16,17),(16,37),(16,39),(17,25),(17,35),(18,1),(19,42),(20,42),(21,6),(21,43),(22,4),(22,43),(23,5),(23,42),(25,26),(26,23),(27,28),(28,24),(29,28),(30,27),(31,19),(31,43),(32,2),(32,37),(33,18),(34,14),(34,26),(35,22),(35,31),(36,19),(36,20),(37,25),(37,34),(38,18),(38,30),(39,15),(39,35),(39,41),(40,27),(40,29),(41,21),(41,31),(41,36),(42,40),(43,33),(43,38)],44)
[[2,2,2,2],[3],[4]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,3],[3],[4]]=>([(0,3),(0,9),(1,10),(2,11),(3,13),(4,5),(5,8),(5,10),(6,4),(7,1),(8,2),(8,12),(9,6),(9,13),(10,12),(12,11),(13,7)],14)
[[2,2,2,4],[3],[4]]=>([(0,11),(0,12),(1,16),(2,14),(3,13),(3,14),(4,5),(5,9),(5,13),(6,4),(7,8),(8,2),(9,1),(9,15),(10,3),(11,7),(11,20),(12,6),(12,20),(13,15),(13,19),(14,19),(15,16),(15,18),(16,17),(18,17),(19,18),(20,10)],21)
[[2,2,3,3],[3],[4]]=>([(0,11),(0,12),(1,14),(2,13),(3,15),(4,16),(5,6),(6,10),(6,14),(7,5),(8,3),(9,1),(9,19),(10,4),(10,17),(11,7),(11,20),(12,2),(12,20),(13,19),(14,17),(15,18),(16,18),(17,15),(17,16),(19,8),(20,9),(20,13)],21)
[[2,2,3,4],[3],[4]]=>([(0,10),(0,11),(1,2),(2,6),(3,9),(3,29),(4,15),(4,19),(5,14),(5,28),(6,7),(6,31),(7,8),(7,32),(8,30),(9,12),(9,20),(10,1),(10,27),(11,3),(11,13),(11,27),(12,22),(12,24),(13,23),(13,29),(14,18),(14,26),(15,24),(15,31),(16,34),(17,34),(18,33),(19,5),(20,22),(21,25),(22,28),(23,19),(24,21),(25,17),(25,33),(26,16),(26,33),(27,4),(27,23),(28,18),(29,20),(30,16),(30,17),(31,21),(31,32),(32,25),(32,26),(32,30),(33,34)],35)
[[2,2,4,4],[3],[4]]=>([(0,13),(0,14),(1,2),(2,8),(3,9),(4,12),(4,35),(5,22),(6,18),(6,23),(7,17),(7,34),(8,11),(8,38),(9,33),(10,37),(11,10),(11,39),(12,15),(12,36),(13,1),(13,32),(14,4),(14,16),(14,32),(15,30),(15,31),(16,29),(16,35),(17,25),(17,28),(18,30),(18,38),(19,40),(20,40),(22,3),(23,7),(24,27),(25,33),(25,41),(26,21),(27,20),(27,41),(28,19),(28,41),(29,23),(30,24),(31,34),(32,6),(32,29),(33,26),(34,25),(35,5),(35,36),(36,22),(36,31),(37,19),(37,20),(38,24),(38,39),(39,27),(39,28),(39,37),(40,21),(41,26),(41,40)],42)
[[2,3,3,3],[3],[4]]=>([(0,14),(0,15),(1,16),(2,21),(3,19),(4,22),(5,20),(6,7),(7,13),(7,16),(8,6),(9,1),(9,26),(10,3),(10,27),(11,2),(12,4),(12,17),(13,5),(13,23),(14,12),(14,25),(15,8),(15,25),(16,23),(17,22),(17,26),(18,27),(19,24),(20,24),(22,18),(23,19),(23,20),(24,21),(25,9),(25,17),(26,10),(26,18),(27,11)],28)
[[2,3,3,4],[3],[4]]=>([(0,10),(0,11),(1,2),(2,4),(3,9),(3,43),(4,8),(4,42),(5,18),(5,36),(6,17),(6,37),(7,39),(8,7),(8,44),(9,12),(9,38),(10,1),(10,35),(11,3),(11,14),(11,35),(12,32),(12,41),(13,16),(13,24),(13,33),(14,15),(14,40),(14,43),(15,25),(15,26),(16,19),(16,29),(17,32),(17,42),(18,22),(18,23),(19,45),(20,48),(21,47),(22,46),(23,46),(24,5),(24,48),(25,30),(26,27),(27,24),(28,31),(29,34),(29,45),(30,20),(31,21),(31,45),(32,28),(33,19),(33,48),(34,22),(34,47),(35,6),(35,40),(36,23),(37,13),(37,27),(38,30),(38,41),(39,21),(39,34),(40,26),(40,37),(41,20),(41,33),(42,28),(42,44),(43,25),(43,38),(44,29),(44,31),(44,39),(45,47),(47,46),(48,36)],49)
[[2,3,4,4],[3],[4]]=>([(0,11),(0,12),(1,2),(2,7),(3,21),(3,54),(4,10),(4,53),(5,20),(5,47),(6,19),(6,46),(7,8),(7,52),(8,9),(8,56),(9,49),(10,13),(10,55),(11,1),(11,45),(12,4),(12,16),(12,45),(13,42),(13,51),(14,17),(14,29),(14,44),(15,24),(15,28),(16,18),(16,50),(16,53),(17,32),(17,33),(18,30),(18,48),(19,37),(19,38),(20,42),(20,52),(21,23),(21,41),(22,60),(23,59),(24,61),(25,57),(26,58),(27,60),(28,6),(28,61),(29,3),(29,57),(30,34),(31,26),(31,62),(32,37),(32,62),(33,43),(33,62),(34,29),(35,27),(36,31),(37,35),(38,40),(39,25),(39,61),(40,22),(41,22),(41,59),(42,36),(43,23),(43,58),(44,32),(44,57),(45,5),(45,50),(46,38),(47,14),(47,34),(48,24),(48,39),(49,26),(49,43),(50,30),(50,47),(51,25),(51,44),(52,36),(52,56),(53,15),(53,48),(53,55),(54,40),(54,41),(55,28),(55,39),(55,51),(56,31),(56,33),(56,49),(57,54),(58,27),(58,59),(59,60),(61,46),(62,35),(62,58)],63)
[[2,4,4,4],[3],[4]]=>([(0,14),(0,15),(1,3),(2,9),(3,10),(4,52),(5,24),(5,61),(6,13),(6,60),(7,23),(7,53),(8,22),(8,59),(9,51),(10,11),(10,58),(11,12),(11,63),(12,55),(13,16),(13,62),(14,1),(14,50),(15,6),(15,19),(15,50),(16,47),(16,57),(17,20),(17,33),(17,49),(18,31),(18,32),(19,21),(19,56),(19,60),(20,36),(20,37),(21,34),(21,54),(22,44),(22,45),(23,47),(23,58),(24,25),(24,40),(25,67),(26,2),(27,64),(28,65),(29,66),(31,8),(31,68),(32,4),(32,68),(33,5),(33,64),(34,38),(35,28),(35,69),(36,44),(36,69),(37,48),(37,69),(38,33),(39,43),(40,43),(40,67),(41,29),(42,35),(43,51),(43,66),(44,41),(45,39),(46,27),(46,68),(47,42),(48,25),(48,65),(49,36),(49,64),(50,7),(50,56),(51,30),(52,26),(53,17),(53,38),(54,32),(54,46),(55,28),(55,48),(56,34),(56,53),(57,27),(57,49),(58,42),(58,63),(59,26),(59,45),(60,18),(60,54),(60,62),(61,39),(61,40),(62,31),(62,46),(62,57),(63,35),(63,37),(63,55),(64,61),(65,29),(65,67),(66,30),(67,66),(68,52),(68,59),(69,41),(69,65)],70)
[[1,1,1],[2,2,4]]=>([(0,2),(2,1)],3)
[[1,1,1],[2,3,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1],[2,4,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1],[3,3,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1],[3,4,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1],[4,4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,2],[2,2,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,2],[2,3,4]]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[[1,1,3],[2,2,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2],[2,4,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,1,2],[3,3,4]]=>([(0,5),(1,8),(1,9),(2,7),(3,6),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(6,10),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,1,3],[2,3,4]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,2],[3,4,4]]=>([(0,1),(1,3),(1,4),(1,6),(2,11),(3,13),(4,12),(5,8),(5,10),(6,5),(6,12),(6,13),(7,14),(8,14),(10,11),(10,14),(11,9),(12,7),(12,8),(13,2),(13,7),(13,10),(14,9)],15)
[[1,1,3],[2,4,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[1,1,2],[4,4,4]]=>([(0,1),(1,4),(1,5),(1,7),(2,13),(3,10),(4,15),(5,14),(6,9),(6,11),(7,6),(7,14),(7,15),(8,16),(9,16),(11,13),(11,16),(12,10),(13,3),(13,12),(14,8),(14,9),(15,2),(15,8),(15,11),(16,12)],17)
[[1,1,3],[3,3,4]]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[[1,1,3],[3,4,4]]=>([(0,8),(1,9),(1,10),(2,10),(2,15),(3,9),(3,15),(4,12),(5,11),(6,5),(6,14),(7,6),(8,1),(8,2),(8,3),(9,7),(10,13),(12,14),(13,12),(14,11),(15,4),(15,13)],16)
[[1,1,3],[4,4,4]]=>([(0,2),(1,5),(2,7),(2,8),(2,9),(3,16),(4,15),(5,4),(5,14),(6,20),(6,21),(7,13),(7,23),(8,13),(8,22),(9,10),(9,22),(9,23),(10,12),(10,17),(12,24),(13,1),(14,15),(15,11),(16,11),(17,21),(17,24),(18,20),(18,24),(19,16),(20,14),(21,3),(21,19),(22,12),(22,18),(23,6),(23,17),(23,18),(24,19)],25)
[[1,2,2],[2,3,4]]=>([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10)
[[1,2,2],[2,4,4]]=>([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13)
[[1,2,2],[3,3,4]]=>([(0,1),(1,3),(1,4),(1,6),(2,11),(3,13),(4,12),(5,8),(5,10),(6,5),(6,12),(6,13),(7,14),(8,14),(10,11),(10,14),(11,9),(12,7),(12,8),(13,2),(13,7),(13,10),(14,9)],15)
[[1,2,3],[2,3,4]]=>([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14)
[[1,2,2],[3,4,4]]=>([(0,1),(1,4),(1,5),(1,7),(2,15),(3,14),(4,16),(5,17),(6,10),(6,11),(7,6),(7,16),(7,17),(9,18),(10,14),(10,18),(11,15),(11,18),(12,8),(13,8),(14,12),(15,13),(16,3),(16,9),(16,10),(17,2),(17,9),(17,11),(18,12),(18,13)],19)
[[1,2,3],[2,4,4]]=>([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19)
[[1,2,2],[4,4,4]]=>([(0,1),(1,5),(1,6),(1,8),(2,16),(3,17),(4,15),(5,19),(6,20),(7,12),(7,13),(8,7),(8,19),(8,20),(10,21),(11,9),(12,17),(12,21),(13,15),(13,21),(14,11),(15,14),(16,9),(17,2),(17,18),(18,11),(18,16),(19,3),(19,10),(19,12),(20,4),(20,10),(20,13),(21,14),(21,18)],22)
[[1,2,3],[3,3,4]]=>([(0,8),(1,9),(1,10),(2,10),(2,15),(3,9),(3,15),(4,12),(5,11),(6,5),(6,14),(7,6),(8,1),(8,2),(8,3),(9,7),(10,13),(12,14),(13,12),(14,11),(15,4),(15,13)],16)
[[1,2,3],[3,4,4]]=>([(0,2),(1,8),(2,3),(2,4),(2,5),(3,14),(3,27),(4,14),(4,26),(5,9),(5,26),(5,27),(6,19),(6,21),(7,20),(7,22),(8,10),(8,23),(8,24),(9,15),(9,16),(10,12),(10,13),(11,28),(12,28),(13,28),(14,1),(15,21),(15,29),(16,22),(16,29),(17,11),(18,11),(19,23),(20,24),(21,17),(22,18),(23,12),(24,13),(25,19),(25,20),(25,29),(26,6),(26,15),(26,25),(27,7),(27,16),(27,25),(29,17),(29,18)],30)
[[1,3,3],[2,4,4]]=>([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20)
[[1,2,3],[4,4,4]]=>([(0,2),(1,9),(2,6),(2,7),(2,8),(3,29),(4,23),(4,25),(5,24),(5,26),(6,15),(6,30),(7,15),(7,31),(8,11),(8,30),(8,31),(9,10),(9,21),(9,22),(10,14),(10,19),(11,16),(11,17),(12,33),(13,33),(14,32),(15,1),(16,23),(16,34),(17,26),(17,34),(18,20),(19,13),(19,32),(20,12),(20,32),(21,19),(22,14),(23,18),(24,21),(25,22),(26,3),(26,28),(27,24),(27,25),(27,34),(28,20),(28,29),(29,12),(29,13),(30,5),(30,17),(30,27),(31,4),(31,16),(31,27),(32,33),(34,18),(34,28)],35)
[[1,3,3],[3,4,4]]=>([(0,10),(1,11),(1,19),(2,11),(2,18),(3,18),(3,19),(5,15),(6,16),(7,13),(7,14),(8,4),(9,7),(10,1),(10,2),(10,3),(11,9),(12,15),(12,16),(13,20),(14,20),(15,13),(15,17),(16,14),(16,17),(17,20),(18,5),(18,12),(19,6),(19,12),(20,8)],21)
[[1,3,3],[4,4,4]]=>([(0,3),(1,5),(2,8),(3,9),(3,10),(3,11),(4,31),(5,18),(6,26),(6,32),(7,25),(7,33),(8,13),(8,27),(8,28),(9,19),(9,34),(10,19),(10,35),(11,12),(11,34),(11,35),(12,20),(12,21),(13,17),(13,23),(14,38),(15,38),(16,37),(17,36),(19,2),(20,26),(20,39),(21,25),(21,39),(22,24),(23,15),(23,36),(24,14),(24,36),(25,22),(26,4),(26,30),(27,17),(27,37),(28,23),(28,37),(29,32),(29,33),(29,39),(30,24),(30,31),(31,14),(31,15),(32,16),(32,28),(33,16),(33,27),(34,6),(34,20),(34,29),(35,7),(35,21),(35,29),(36,38),(37,1),(38,18),(39,22),(39,30)],40)
[[2,2,2],[3,3,4]]=>([(0,1),(1,4),(1,5),(1,7),(2,13),(3,10),(4,15),(5,14),(6,9),(6,11),(7,6),(7,14),(7,15),(8,16),(9,16),(11,13),(11,16),(12,10),(13,3),(13,12),(14,8),(14,9),(15,2),(15,8),(15,11),(16,12)],17)
[[2,2,2],[3,4,4]]=>([(0,1),(1,5),(1,6),(1,8),(2,16),(3,17),(4,15),(5,19),(6,20),(7,12),(7,13),(8,7),(8,19),(8,20),(10,21),(11,9),(12,17),(12,21),(13,15),(13,21),(14,11),(15,14),(16,9),(17,2),(17,18),(18,11),(18,16),(19,3),(19,10),(19,12),(20,4),(20,10),(20,13),(21,14),(21,18)],22)
[[2,2,2],[4,4,4]]=>([(0,1),(1,6),(1,7),(1,9),(2,19),(3,18),(4,16),(5,17),(6,23),(7,24),(8,14),(8,15),(9,8),(9,23),(9,24),(11,25),(12,10),(13,10),(14,18),(14,25),(15,19),(15,25),(16,12),(17,13),(18,4),(18,21),(19,5),(19,22),(20,12),(20,13),(21,16),(21,20),(22,17),(22,20),(23,3),(23,11),(23,14),(24,2),(24,11),(24,15),(25,21),(25,22)],26)
[[2,2,3],[3,3,4]]=>([(0,2),(1,5),(2,7),(2,8),(2,9),(3,16),(4,15),(5,4),(5,14),(6,20),(6,21),(7,13),(7,23),(8,13),(8,22),(9,10),(9,22),(9,23),(10,12),(10,17),(12,24),(13,1),(14,15),(15,11),(16,11),(17,21),(17,24),(18,20),(18,24),(19,16),(20,14),(21,3),(21,19),(22,12),(22,18),(23,6),(23,17),(23,18),(24,19)],25)
[[2,2,3],[3,4,4]]=>([(0,2),(1,9),(2,6),(2,7),(2,8),(3,29),(4,23),(4,25),(5,24),(5,26),(6,15),(6,30),(7,15),(7,31),(8,11),(8,30),(8,31),(9,10),(9,21),(9,22),(10,14),(10,19),(11,16),(11,17),(12,33),(13,33),(14,32),(15,1),(16,23),(16,34),(17,26),(17,34),(18,20),(19,13),(19,32),(20,12),(20,32),(21,19),(22,14),(23,18),(24,21),(25,22),(26,3),(26,28),(27,24),(27,25),(27,34),(28,20),(28,29),(29,12),(29,13),(30,5),(30,17),(30,27),(31,4),(31,16),(31,27),(32,33),(34,18),(34,28)],35)
[[2,2,3],[4,4,4]]=>([(0,2),(1,10),(2,7),(2,8),(2,9),(3,30),(4,29),(5,23),(5,27),(6,24),(6,28),(7,16),(7,35),(8,16),(8,36),(9,11),(9,35),(9,36),(10,12),(10,25),(10,26),(11,19),(11,20),(12,21),(12,22),(13,41),(14,39),(15,40),(16,1),(17,13),(17,39),(18,13),(18,40),(19,27),(19,38),(20,28),(20,38),(21,14),(21,37),(22,15),(22,37),(23,25),(24,26),(25,21),(26,22),(27,4),(27,33),(28,3),(28,34),(29,14),(29,17),(30,15),(30,18),(31,17),(31,18),(31,37),(32,23),(32,24),(32,38),(33,29),(33,31),(34,30),(34,31),(35,5),(35,19),(35,32),(36,6),(36,20),(36,32),(37,39),(37,40),(38,33),(38,34),(39,41),(40,41)],42)
[[2,3,3],[3,4,4]]=>([(0,3),(1,5),(2,8),(3,9),(3,10),(3,11),(4,31),(5,18),(6,26),(6,32),(7,25),(7,33),(8,13),(8,27),(8,28),(9,19),(9,34),(10,19),(10,35),(11,12),(11,34),(11,35),(12,20),(12,21),(13,17),(13,23),(14,38),(15,38),(16,37),(17,36),(19,2),(20,26),(20,39),(21,25),(21,39),(22,24),(23,15),(23,36),(24,14),(24,36),(25,22),(26,4),(26,30),(27,17),(27,37),(28,23),(28,37),(29,32),(29,33),(29,39),(30,24),(30,31),(31,14),(31,15),(32,16),(32,28),(33,16),(33,27),(34,6),(34,20),(34,29),(35,7),(35,21),(35,29),(36,38),(37,1),(38,18),(39,22),(39,30)],40)
[[2,3,3],[4,4,4]]=>([(0,3),(1,12),(2,8),(3,9),(3,10),(3,11),(4,33),(5,32),(6,28),(6,38),(7,29),(7,39),(8,19),(8,20),(9,21),(9,40),(10,21),(10,41),(11,13),(11,40),(11,41),(12,14),(12,30),(12,31),(13,24),(13,25),(14,26),(14,27),(15,48),(16,46),(17,47),(18,44),(19,45),(20,45),(21,1),(22,15),(22,46),(23,15),(23,47),(24,28),(24,43),(25,29),(25,43),(26,16),(26,42),(27,17),(27,42),(28,5),(28,36),(29,4),(29,37),(30,26),(30,44),(31,27),(31,44),(32,16),(32,22),(33,17),(33,23),(34,22),(34,23),(34,42),(35,38),(35,39),(35,43),(36,32),(36,34),(37,33),(37,34),(38,18),(38,30),(39,18),(39,31),(40,6),(40,24),(40,35),(41,7),(41,25),(41,35),(42,46),(42,47),(43,36),(43,37),(44,2),(46,19),(46,48),(47,20),(47,48),(48,45)],49)
[[3,3,3],[4,4,4]]=>([(0,4),(2,13),(3,9),(4,10),(4,11),(4,12),(5,34),(6,33),(7,29),(7,39),(8,30),(8,40),(9,20),(9,21),(10,22),(10,41),(11,22),(11,42),(12,14),(12,41),(12,42),(13,15),(13,31),(13,32),(14,25),(14,26),(15,27),(15,28),(16,49),(17,47),(18,48),(19,45),(20,46),(21,46),(22,2),(23,16),(23,47),(24,16),(24,48),(25,29),(25,44),(26,30),(26,44),(27,17),(27,43),(28,18),(28,43),(29,6),(29,37),(30,5),(30,38),(31,27),(31,45),(32,28),(32,45),(33,17),(33,23),(34,18),(34,24),(35,23),(35,24),(35,43),(36,39),(36,40),(36,44),(37,33),(37,35),(38,34),(38,35),(39,19),(39,31),(40,19),(40,32),(41,7),(41,25),(41,36),(42,8),(42,26),(42,36),(43,47),(43,48),(44,37),(44,38),(45,3),(46,1),(47,20),(47,49),(48,21),(48,49),(49,46)],50)
[[1,1,1],[2,2],[4]]=>([(0,1)],2)
[[1,1,1],[2,3],[4]]=>([(0,2),(2,1)],3)
[[1,1,1],[2,4],[3]]=>([(0,2),(2,1)],3)
[[1,1,1],[2,4],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1],[3,3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1],[3,4],[4]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,2],[2,2],[4]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,2],[2,3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2],[2,4],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,3],[2,2],[4]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[[1,1,4],[2,2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2],[2,4],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,4],[2,2],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2],[3,3],[4]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,3],[2,3],[4]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,3],[2,4],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,4],[2,3],[3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,2],[3,4],[4]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,3],[2,4],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,4],[2,3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,4],[2,4],[3]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1,4],[2,4],[4]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,3],[3,3],[4]]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[[1,1,3],[3,4],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,4],[3,3],[4]]=>([(0,3),(0,8),(1,10),(2,9),(3,11),(4,2),(5,4),(6,7),(7,1),(7,9),(8,5),(8,11),(9,10),(11,6)],12)
[[1,1,4],[3,4],[4]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,2,2],[2,3],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2],[2,4],[3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2,2],[2,4],[4]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,2],[3,3],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,2,3],[2,3],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,2,3],[2,4],[3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,2,4],[2,3],[3]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,2,2],[3,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,2,3],[2,4],[4]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,2,4],[2,3],[4]]=>([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15)
[[1,2,4],[2,4],[3]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,2,4],[2,4],[4]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,2,3],[3,3],[4]]=>([(0,3),(0,8),(1,10),(2,9),(3,11),(4,2),(5,4),(6,7),(7,1),(7,9),(8,5),(8,11),(9,10),(11,6)],12)
[[1,3,3],[2,4],[3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2,3],[3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,2,4],[3,3],[4]]=>([(0,10),(0,11),(1,14),(1,15),(2,13),(3,12),(4,7),(5,8),(6,9),(7,3),(8,2),(9,1),(9,12),(9,13),(10,4),(10,17),(11,5),(11,17),(12,14),(12,16),(13,15),(13,16),(14,18),(15,18),(16,18),(17,6)],19)
[[1,3,3],[2,4],[4]]=>([(0,7),(1,10),(1,11),(3,9),(4,8),(5,4),(5,13),(6,3),(6,13),(7,5),(7,6),(8,10),(8,12),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,8),(13,9),(14,2)],15)
[[1,3,4],[2,4],[3]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,2,4],[3,4],[4]]=>([(0,12),(0,13),(1,16),(2,15),(3,23),(4,19),(5,17),(5,20),(6,4),(7,5),(7,15),(7,16),(8,10),(9,7),(10,2),(11,1),(11,23),(12,8),(12,22),(13,14),(13,22),(14,3),(14,11),(15,17),(15,21),(16,20),(16,21),(17,24),(19,18),(20,19),(20,24),(21,24),(22,9),(23,6),(24,18)],25)
[[1,3,4],[2,4],[4]]=>([(0,10),(0,12),(1,16),(2,17),(3,21),(4,22),(5,14),(6,13),(6,14),(7,13),(7,15),(8,7),(8,21),(9,2),(9,18),(10,11),(11,5),(11,6),(12,3),(12,8),(13,19),(14,9),(14,19),(15,22),(16,20),(17,20),(18,16),(18,17),(19,18),(21,4),(21,15),(22,1)],23)
[[1,3,3],[3,4],[4]]=>([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16)
[[1,3,4],[3,4],[4]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[2,2,2],[3,3],[4]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[2,2,2],[3,4],[4]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[2,2,3],[3,3],[4]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[2,2,3],[3,4],[4]]=>([(0,10),(0,12),(1,16),(2,17),(3,21),(4,22),(5,14),(6,13),(6,14),(7,13),(7,15),(8,7),(8,21),(9,2),(9,18),(10,11),(11,5),(11,6),(12,3),(12,8),(13,19),(14,9),(14,19),(15,22),(16,20),(17,20),(18,16),(18,17),(19,18),(21,4),(21,15),(22,1)],23)
[[2,2,4],[3,3],[4]]=>([(0,12),(0,13),(1,16),(2,15),(3,23),(4,19),(5,17),(5,20),(6,4),(7,5),(7,15),(7,16),(8,10),(9,7),(10,2),(11,1),(11,23),(12,8),(12,22),(13,14),(13,22),(14,3),(14,11),(15,17),(15,21),(16,20),(16,21),(17,24),(19,18),(20,19),(20,24),(21,24),(22,9),(23,6),(24,18)],25)
[[2,2,4],[3,4],[4]]=>([(0,14),(0,15),(1,19),(2,18),(3,29),(4,30),(5,22),(6,23),(7,24),(7,25),(8,9),(9,7),(9,18),(9,19),(10,5),(11,6),(12,2),(12,29),(13,1),(13,30),(14,16),(14,28),(15,17),(15,28),(16,3),(16,12),(17,4),(17,13),(18,24),(18,27),(19,25),(19,27),(20,26),(21,26),(22,20),(23,21),(24,22),(24,31),(25,23),(25,31),(27,31),(28,8),(29,10),(30,11),(31,20),(31,21)],32)
[[2,3,3],[3,4],[4]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[2,3,4],[3,4],[4]]=>([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)
[[1,1,1],[2],[3],[4]]=>([],1)
[[1,1,2],[2],[3],[4]]=>([(0,1)],2)
[[1,1,3],[2],[3],[4]]=>([(0,2),(2,1)],3)
[[1,1,4],[2],[3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,2,2],[2],[3],[4]]=>([(0,2),(2,1)],3)
[[1,2,3],[2],[3],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,2,4],[2],[3],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,3,3],[2],[3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,3,4],[2],[3],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,4,4],[2],[3],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1],[2,2],[3,4]]=>([(0,1)],2)
[[1,1],[2,2],[4,4]]=>([(0,2),(2,1)],3)
[[1,1],[2,3],[3,4]]=>([(0,2),(2,1)],3)
[[1,1],[2,3],[4,4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1],[3,3],[4,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2],[2,3],[3,4]]=>([(0,3),(2,1),(3,2)],4)
[[1,2],[2,3],[4,4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,2],[3,3],[4,4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[2,2],[3,3],[4,4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1],[2,2],[3],[4]]=>([],1)
[[1,1],[2,3],[3],[4]]=>([(0,1)],2)
[[1,1],[2,4],[3],[4]]=>([(0,2),(2,1)],3)
[[1,2],[2,3],[3],[4]]=>([(0,2),(2,1)],3)
[[1,2],[2,4],[3],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,3],[2,4],[3],[4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,2,3,4,5,6]]=>([(0,1),(1,2),(1,3),(2,9),(2,53),(3,8),(3,53),(4,60),(5,61),(6,4),(6,64),(7,5),(7,65),(8,6),(8,62),(9,7),(9,63),(10,35),(10,36),(11,54),(11,55),(12,37),(12,56),(13,38),(13,57),(14,17),(14,58),(15,18),(15,59),(16,11),(16,110),(16,111),(17,87),(18,88),(19,90),(20,79),(20,102),(21,80),(21,103),(22,77),(22,83),(23,78),(23,84),(24,79),(24,85),(25,80),(25,86),(26,81),(26,94),(27,82),(27,95),(28,75),(28,76),(28,93),(29,22),(29,110),(29,115),(30,23),(30,111),(30,114),(31,43),(31,73),(32,44),(32,74),(33,45),(33,73),(34,46),(34,74),(35,12),(35,47),(35,66),(36,13),(36,48),(36,66),(37,14),(37,45),(37,69),(38,15),(38,46),(38,70),(39,27),(39,67),(39,98),(40,26),(40,68),(40,99),(41,20),(41,67),(41,91),(42,21),(42,68),(42,92),(43,19),(43,104),(44,19),(44,105),(45,17),(45,96),(46,18),(46,97),(47,33),(47,37),(47,112),(48,34),(48,38),(48,113),(49,50),(49,51),(49,66),(50,31),(50,52),(50,112),(51,32),(51,52),(51,113),(52,43),(52,44),(52,72),(53,10),(53,62),(53,63),(54,20),(54,24),(54,71),(55,21),(55,25),(55,71),(56,16),(56,30),(56,69),(57,16),(57,29),(57,70),(58,39),(58,41),(58,87),(59,40),(59,42),(59,88),(60,31),(60,33),(61,32),(61,34),(62,35),(62,49),(62,64),(63,36),(63,49),(63,65),(64,47),(64,50),(64,60),(65,48),(65,51),(65,61),(66,56),(66,57),(66,112),(66,113),(67,28),(67,82),(67,102),(67,129),(68,28),(68,81),(68,103),(68,130),(69,58),(69,96),(69,110),(69,114),(70,59),(70,97),(70,111),(70,115),(71,85),(71,86),(71,102),(71,103),(72,104),(72,105),(72,114),(72,115),(73,22),(73,96),(73,104),(74,23),(74,97),(74,105),(75,117),(75,125),(76,117),(76,126),(77,26),(77,108),(77,121),(78,27),(78,109),(78,122),(79,123),(80,124),(81,75),(81,106),(81,119),(82,76),(82,107),(82,120),(83,24),(83,91),(83,121),(84,25),(84,92),(84,122),(85,89),(85,106),(85,123),(86,89),(86,107),(86,124),(87,91),(87,98),(88,92),(88,99),(89,127),(89,128),(90,108),(90,109),(91,79),(91,129),(92,80),(92,130),(93,125),(93,126),(94,119),(95,120),(96,83),(96,87),(96,100),(97,84),(97,88),(97,101),(98,95),(98,129),(99,94),(99,130),(100,98),(100,109),(100,121),(101,99),(101,108),(101,122),(102,93),(102,107),(102,123),(103,93),(103,106),(103,124),(104,77),(104,90),(104,100),(105,78),(105,90),(105,101),(106,125),(106,127),(107,126),(107,128),(108,94),(108,118),(109,95),(109,118),(110,41),(110,54),(110,83),(110,116),(111,42),(111,55),(111,84),(111,116),(112,29),(112,69),(112,72),(112,73),(113,30),(113,70),(113,72),(113,74),(114,39),(114,78),(114,100),(114,116),(115,40),(115,77),(115,101),(115,116),(116,67),(116,68),(116,71),(116,121),(116,122),(117,131),(118,89),(118,119),(118,120),(119,117),(119,127),(120,117),(120,128),(121,81),(121,85),(121,118),(121,129),(122,82),(122,86),(122,118),(122,130),(123,125),(123,128),(124,126),(124,127),(125,131),(126,131),(127,131),(128,131),(129,75),(129,120),(129,123),(130,76),(130,119),(130,124)],132)
[[1,2,3,4,5],[6]]=>([(0,1),(1,3),(1,4),(2,46),(3,8),(3,44),(4,9),(4,44),(5,51),(6,50),(7,6),(7,54),(8,7),(8,52),(9,5),(9,53),(10,37),(10,47),(11,34),(11,45),(12,35),(12,36),(13,20),(13,48),(14,19),(14,49),(15,77),(16,74),(17,11),(17,82),(17,84),(18,63),(18,71),(19,62),(20,2),(20,67),(21,57),(21,73),(22,75),(22,84),(23,69),(24,63),(24,65),(25,61),(25,64),(26,66),(26,72),(27,18),(27,57),(27,76),(28,19),(28,78),(29,23),(29,60),(30,25),(30,82),(30,83),(31,28),(31,55),(32,16),(32,60),(33,15),(33,55),(34,16),(34,59),(35,13),(35,38),(35,58),(36,10),(36,41),(36,58),(37,14),(37,28),(37,56),(38,20),(38,70),(39,40),(39,70),(40,15),(40,68),(41,31),(41,37),(41,81),(42,39),(42,43),(42,58),(43,33),(43,40),(43,81),(44,12),(44,52),(44,53),(45,18),(45,24),(45,59),(46,29),(46,32),(47,17),(47,22),(47,56),(48,17),(48,30),(48,67),(49,21),(49,27),(49,62),(50,31),(50,33),(51,38),(51,39),(52,36),(52,42),(52,54),(53,35),(53,42),(53,51),(54,41),(54,43),(54,50),(55,25),(55,77),(55,78),(56,49),(56,75),(56,78),(56,82),(57,26),(57,71),(57,86),(58,47),(58,48),(58,70),(58,81),(59,65),(59,71),(59,74),(60,26),(60,69),(60,74),(61,24),(61,76),(61,89),(62,73),(62,76),(63,88),(64,23),(64,89),(65,80),(65,88),(66,87),(67,46),(67,83),(67,84),(68,75),(68,77),(68,83),(69,66),(69,80),(70,22),(70,67),(70,68),(71,72),(71,88),(72,87),(73,86),(74,72),(74,80),(75,21),(75,79),(75,85),(76,63),(76,86),(77,64),(77,79),(78,61),(78,62),(78,79),(79,73),(79,89),(80,87),(81,30),(81,55),(81,56),(81,68),(82,27),(82,45),(82,61),(82,85),(83,29),(83,64),(83,85),(84,32),(84,34),(84,85),(85,57),(85,59),(85,60),(85,89),(86,66),(86,88),(88,87),(89,65),(89,69),(89,86)],90)
[[1,2,3,4,6],[5]]=>([(0,2),(0,3),(1,6),(1,16),(2,9),(2,10),(3,1),(4,65),(5,66),(6,7),(6,73),(7,8),(7,76),(8,60),(9,4),(9,69),(10,13),(10,69),(11,35),(11,72),(12,56),(12,71),(13,18),(13,74),(13,79),(14,57),(14,70),(15,34),(15,55),(16,73),(16,74),(17,40),(17,63),(18,17),(18,59),(18,77),(19,25),(19,52),(19,53),(20,44),(20,45),(20,46),(21,101),(22,85),(23,80),(23,83),(24,90),(24,91),(25,86),(25,87),(26,100),(26,102),(27,81),(27,106),(28,92),(29,90),(29,104),(30,89),(31,93),(31,105),(32,81),(32,91),(32,107),(33,12),(33,118),(34,5),(34,115),(35,94),(36,24),(36,109),(37,39),(37,115),(38,23),(38,114),(38,117),(39,22),(39,116),(40,58),(41,21),(41,80),(42,47),(42,85),(43,28),(43,118),(44,67),(44,114),(45,33),(45,113),(46,19),(46,47),(46,113),(46,114),(47,25),(47,83),(47,97),(48,26),(48,95),(48,99),(49,21),(49,88),(50,35),(50,98),(51,49),(51,98),(52,36),(52,87),(53,68),(53,86),(54,56),(54,93),(54,95),(55,20),(55,62),(55,115),(56,30),(56,96),(57,11),(57,50),(57,84),(58,23),(58,41),(59,40),(59,78),(60,50),(60,51),(61,51),(61,64),(61,84),(62,42),(62,46),(62,116),(63,22),(63,42),(64,41),(64,49),(64,117),(65,34),(65,37),(66,33),(66,43),(67,31),(67,54),(67,82),(68,27),(68,32),(68,103),(69,15),(69,65),(69,79),(70,38),(70,44),(70,84),(71,24),(71,29),(71,96),(72,48),(72,54),(72,94),(73,14),(73,75),(73,76),(74,59),(74,75),(75,61),(75,70),(75,78),(76,57),(76,60),(76,61),(77,39),(77,62),(77,63),(78,38),(78,58),(78,64),(79,37),(79,55),(79,77),(80,26),(80,101),(80,111),(81,112),(81,121),(82,68),(82,95),(82,105),(82,111),(83,86),(83,111),(84,67),(84,72),(84,98),(84,117),(85,28),(85,97),(86,103),(87,109),(88,99),(88,101),(88,105),(89,108),(89,112),(90,122),(91,112),(91,122),(92,29),(92,109),(93,30),(93,123),(94,93),(94,99),(95,32),(95,96),(95,100),(95,123),(96,89),(96,91),(96,104),(97,87),(97,92),(98,31),(98,88),(98,94),(99,102),(99,123),(100,104),(100,107),(100,119),(101,102),(101,110),(102,119),(103,106),(103,107),(104,108),(104,122),(105,27),(105,110),(105,123),(106,121),(107,121),(107,122),(108,120),(109,90),(110,106),(110,119),(111,100),(111,103),(111,110),(112,120),(113,52),(113,97),(113,118),(114,53),(114,82),(114,83),(115,45),(115,66),(115,116),(116,43),(116,85),(116,113),(117,48),(117,80),(117,82),(117,88),(118,36),(118,71),(118,92),(119,108),(119,121),(121,120),(122,120),(123,81),(123,89),(123,119)],124)
[[1,2,3,4],[5],[6]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[1,2,3,5,6],[4]]=>([(0,1),(0,2),(1,5),(1,7),(2,4),(2,8),(3,54),(4,45),(5,44),(6,13),(6,71),(7,11),(7,44),(8,12),(8,18),(8,45),(9,76),(9,77),(10,58),(10,59),(11,22),(11,75),(11,80),(12,80),(12,81),(13,57),(13,72),(14,56),(14,73),(15,55),(15,60),(16,37),(16,79),(17,36),(17,78),(18,20),(18,74),(18,81),(19,41),(19,65),(20,21),(20,63),(20,85),(21,40),(21,62),(22,19),(22,61),(22,83),(23,109),(23,110),(24,87),(25,125),(26,98),(26,115),(27,96),(27,106),(28,95),(28,107),(29,98),(29,100),(30,97),(30,99),(31,114),(31,121),(32,113),(32,120),(33,93),(34,97),(34,118),(35,101),(35,102),(36,104),(37,103),(38,33),(38,127),(39,49),(40,67),(41,39),(42,46),(42,87),(43,27),(43,88),(43,90),(44,3),(44,75),(45,6),(45,74),(46,23),(46,95),(46,119),(47,32),(47,100),(47,117),(48,31),(48,99),(48,116),(49,37),(49,106),(50,36),(50,107),(51,26),(51,94),(52,28),(52,89),(52,108),(53,23),(53,96),(53,105),(54,15),(54,66),(55,38),(55,90),(56,24),(56,126),(57,25),(57,91),(58,17),(58,50),(58,89),(59,9),(59,70),(59,89),(60,16),(60,49),(60,90),(61,41),(61,66),(62,24),(62,42),(63,40),(63,86),(64,42),(64,69),(64,126),(65,25),(65,68),(66,39),(66,60),(67,28),(67,50),(68,27),(68,53),(68,125),(69,46),(69,53),(69,88),(69,108),(70,51),(70,76),(70,128),(71,10),(71,72),(71,86),(72,52),(72,59),(72,91),(73,43),(73,55),(73,126),(74,63),(74,71),(75,54),(75,61),(76,26),(76,29),(76,92),(77,30),(77,34),(77,92),(78,30),(78,48),(78,104),(79,29),(79,47),(79,103),(80,83),(80,84),(81,14),(81,84),(81,85),(82,43),(82,68),(82,69),(82,91),(83,57),(83,65),(83,82),(84,64),(84,73),(84,82),(85,56),(85,62),(85,64),(86,52),(86,58),(86,67),(87,33),(87,119),(88,96),(88,119),(88,127),(89,77),(89,78),(89,107),(89,128),(90,79),(90,106),(90,127),(91,70),(91,108),(91,125),(92,99),(92,100),(92,115),(92,118),(93,32),(93,124),(94,31),(94,115),(94,123),(95,110),(95,112),(96,109),(96,111),(97,133),(98,132),(99,35),(99,121),(99,133),(100,35),(100,120),(100,132),(101,131),(102,131),(103,98),(103,117),(104,97),(104,116),(105,94),(105,110),(106,103),(106,111),(107,34),(107,104),(107,112),(108,95),(108,105),(108,128),(109,124),(110,123),(111,117),(111,124),(112,116),(112,118),(112,123),(113,130),(114,129),(115,121),(115,122),(115,132),(116,114),(116,133),(117,113),(117,132),(118,120),(118,122),(118,133),(119,93),(119,109),(120,102),(120,130),(121,101),(121,129),(122,129),(122,130),(123,114),(123,122),(124,113),(125,51),(125,105),(126,38),(126,87),(126,88),(127,47),(127,93),(127,111),(128,48),(128,92),(128,94),(128,112),(129,131),(130,131),(132,101),(132,130),(133,102),(133,129)],134)
[[1,2,3,5],[4,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,51),(3,5),(3,61),(4,15),(4,53),(5,60),(6,29),(6,56),(7,41),(7,55),(8,40),(8,54),(9,28),(9,42),(10,43),(10,44),(11,43),(11,57),(12,13),(12,44),(12,57),(13,14),(13,46),(13,59),(14,30),(14,45),(15,33),(15,34),(15,50),(16,63),(16,86),(17,62),(18,72),(18,81),(19,63),(19,69),(20,70),(21,75),(21,88),(22,76),(22,79),(23,71),(23,72),(24,82),(25,78),(26,71),(26,80),(27,73),(28,2),(28,88),(29,74),(30,49),(31,38),(31,62),(32,19),(32,66),(32,85),(33,35),(33,85),(34,16),(34,64),(34,85),(35,25),(35,68),(36,24),(36,70),(37,18),(37,67),(38,22),(38,75),(38,77),(39,22),(39,69),(39,86),(40,17),(40,87),(41,20),(41,65),(42,7),(42,52),(42,88),(43,3),(43,58),(44,4),(44,46),(45,17),(45,31),(46,30),(46,53),(47,31),(47,48),(47,87),(48,38),(48,39),(48,64),(48,66),(49,21),(49,28),(50,21),(50,42),(50,64),(51,20),(51,36),(52,37),(52,55),(52,89),(53,9),(53,49),(53,50),(54,32),(54,33),(54,87),(55,18),(55,23),(55,65),(56,23),(56,26),(56,74),(57,8),(57,58),(57,59),(58,47),(58,54),(58,61),(59,40),(59,45),(59,47),(60,16),(60,19),(60,39),(61,32),(61,34),(61,48),(61,60),(62,25),(62,77),(63,29),(63,83),(64,52),(64,75),(64,86),(65,70),(65,71),(65,81),(66,68),(66,69),(66,77),(67,24),(67,81),(68,56),(68,78),(68,83),(69,79),(69,83),(70,27),(70,82),(71,27),(71,90),(72,90),(74,72),(74,80),(75,76),(75,89),(76,67),(77,78),(77,79),(78,26),(78,84),(79,84),(80,90),(81,82),(81,90),(82,73),(83,74),(83,84),(84,80),(85,6),(85,63),(85,68),(86,37),(86,76),(87,35),(87,62),(87,66),(88,41),(88,51),(88,89),(89,36),(89,65),(89,67),(90,73)],91)
[[1,2,3,5],[4],[6]]=>([(0,5),(0,6),(1,48),(2,4),(2,53),(3,10),(3,49),(4,13),(4,54),(5,31),(6,2),(6,9),(6,31),(7,29),(7,40),(8,39),(8,52),(9,15),(9,51),(9,53),(10,42),(10,50),(11,28),(11,38),(12,27),(12,41),(13,14),(13,42),(13,55),(14,23),(14,46),(15,30),(15,44),(16,18),(16,25),(16,26),(17,75),(18,57),(18,74),(19,57),(19,68),(20,63),(21,65),(21,69),(22,56),(22,60),(23,61),(24,64),(25,57),(25,62),(26,62),(26,74),(27,71),(28,73),(29,1),(29,56),(30,45),(31,3),(31,51),(32,35),(32,71),(33,25),(33,67),(34,33),(34,65),(35,21),(35,58),(35,60),(36,24),(36,75),(37,19),(37,72),(38,16),(38,33),(38,73),(39,17),(39,66),(40,8),(40,47),(40,56),(41,11),(41,43),(41,71),(42,23),(42,59),(43,34),(43,38),(43,58),(44,27),(44,32),(45,22),(45,29),(46,21),(46,34),(46,61),(47,37),(47,52),(47,70),(48,17),(48,36),(49,7),(49,45),(49,50),(50,22),(50,40),(50,59),(51,30),(51,49),(52,18),(52,19),(52,66),(53,12),(53,44),(53,54),(54,32),(54,41),(54,55),(55,35),(55,43),(55,46),(55,59),(56,39),(56,48),(56,70),(57,76),(58,65),(58,73),(59,47),(59,60),(59,61),(60,69),(60,70),(61,37),(61,69),(62,76),(64,63),(65,67),(66,68),(66,74),(66,75),(67,62),(68,64),(68,76),(69,72),(70,36),(70,66),(70,72),(71,28),(71,58),(72,24),(72,68),(73,26),(73,67),(74,20),(74,76),(75,20),(75,64),(76,63)],77)
[[1,2,3,4],[5,6]]=>([(0,1),(1,11),(1,12),(1,13),(2,41),(3,5),(3,59),(4,15),(4,35),(5,57),(6,46),(7,27),(7,58),(8,43),(8,51),(9,42),(9,52),(10,26),(10,53),(11,45),(11,54),(12,44),(12,45),(13,14),(13,44),(13,54),(14,6),(14,28),(14,56),(15,32),(15,33),(15,34),(16,81),(17,61),(17,62),(18,62),(18,89),(19,68),(19,79),(20,67),(20,68),(21,77),(21,78),(22,63),(22,82),(23,70),(23,80),(24,63),(24,67),(24,83),(25,66),(26,73),(27,72),(28,35),(29,19),(30,17),(30,88),(30,90),(31,16),(31,61),(31,89),(32,41),(32,60),(33,49),(33,88),(34,18),(34,60),(34,88),(35,2),(35,32),(36,21),(36,71),(36,76),(37,26),(37,74),(38,39),(38,74),(39,16),(39,69),(40,42),(40,70),(40,71),(41,9),(41,50),(42,25),(42,75),(43,10),(43,37),(43,65),(44,4),(44,28),(45,3),(45,55),(46,37),(46,38),(47,38),(47,48),(47,65),(48,31),(48,39),(48,60),(48,90),(49,23),(49,40),(49,64),(50,29),(50,52),(51,30),(51,33),(51,65),(52,19),(52,20),(52,75),(53,36),(53,40),(53,73),(54,8),(54,55),(54,56),(55,47),(55,51),(55,59),(56,43),(56,46),(56,47),(57,17),(57,18),(57,31),(58,20),(58,22),(58,24),(58,72),(59,30),(59,34),(59,48),(59,57),(60,50),(60,89),(61,21),(61,81),(61,86),(62,27),(62,86),(63,87),(63,93),(64,58),(64,71),(64,80),(64,86),(65,49),(65,53),(65,74),(65,90),(66,84),(66,87),(67,87),(67,94),(68,94),(69,76),(69,80),(69,81),(70,25),(70,95),(71,24),(71,75),(71,77),(71,95),(72,68),(72,82),(72,83),(73,70),(73,76),(74,23),(74,69),(74,73),(75,66),(75,67),(75,79),(76,78),(76,95),(77,79),(77,83),(77,91),(78,91),(79,84),(79,94),(80,22),(80,85),(80,95),(81,78),(81,85),(82,93),(83,93),(83,94),(84,92),(85,82),(85,91),(86,72),(86,77),(86,85),(87,92),(88,7),(88,62),(88,64),(89,29),(90,36),(90,61),(90,64),(90,69),(91,84),(91,93),(93,92),(94,92),(95,63),(95,66),(95,91)],96)
[[1,2,3,6],[4],[5]]=>([(0,11),(0,12),(1,2),(2,7),(2,16),(3,44),(4,46),(5,10),(5,47),(6,43),(7,9),(7,59),(8,20),(8,45),(9,52),(10,13),(10,50),(11,1),(11,42),(12,5),(12,15),(12,42),(13,19),(13,56),(13,57),(14,38),(14,53),(15,37),(15,47),(16,54),(16,59),(17,24),(17,41),(18,23),(18,55),(19,28),(19,29),(20,40),(20,54),(20,57),(21,67),(22,63),(22,67),(23,65),(24,64),(25,63),(25,64),(26,68),(27,70),(28,34),(28,73),(29,35),(29,73),(30,21),(30,66),(31,25),(32,22),(32,66),(32,72),(33,27),(33,69),(34,36),(35,51),(36,24),(37,45),(38,26),(38,72),(39,30),(39,65),(40,43),(40,62),(41,33),(41,64),(42,8),(42,37),(43,14),(43,58),(44,17),(44,36),(45,6),(45,40),(46,3),(46,48),(47,4),(47,50),(48,34),(48,44),(49,35),(49,61),(50,46),(50,56),(51,21),(51,22),(52,23),(52,39),(53,25),(53,41),(53,72),(54,49),(54,60),(55,32),(55,38),(55,65),(56,28),(56,48),(56,62),(57,29),(57,49),(57,62),(58,31),(58,53),(59,18),(59,52),(59,60),(60,39),(60,55),(60,61),(61,30),(61,32),(61,51),(62,58),(62,73),(63,69),(63,71),(64,69),(65,26),(65,66),(66,67),(66,68),(67,71),(68,27),(68,71),(69,70),(71,70),(72,33),(72,63),(72,68),(73,31)],74)
[[1,2,3],[4],[5],[6]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,2,4,5,6],[3]]=>([(0,2),(0,3),(1,5),(2,8),(2,10),(3,1),(4,66),(5,6),(5,72),(6,7),(6,78),(7,57),(8,4),(8,69),(9,14),(9,76),(10,11),(10,12),(10,69),(11,72),(11,74),(12,18),(12,74),(12,79),(13,56),(13,73),(14,32),(14,70),(15,17),(15,33),(15,71),(16,39),(16,64),(17,38),(17,60),(18,16),(18,58),(18,75),(19,46),(19,49),(19,50),(20,24),(20,47),(20,48),(21,117),(22,86),(22,97),(23,89),(23,90),(24,91),(24,92),(25,103),(26,99),(26,110),(27,87),(27,88),(28,93),(29,80),(29,98),(30,80),(30,90),(30,100),(31,89),(31,107),(32,96),(33,9),(33,115),(34,24),(34,84),(34,86),(35,27),(35,118),(36,44),(36,115),(37,56),(37,87),(37,94),(38,42),(38,116),(39,40),(40,41),(41,25),(41,97),(42,32),(42,83),(43,54),(43,83),(44,21),(44,81),(45,22),(45,82),(45,114),(46,55),(46,113),(47,52),(47,92),(48,68),(48,91),(49,35),(49,114),(50,20),(50,34),(50,113),(50,114),(51,26),(51,109),(52,29),(52,105),(53,26),(53,94),(53,104),(54,25),(54,108),(55,13),(55,37),(55,85),(56,28),(56,95),(57,42),(57,43),(58,39),(58,62),(59,61),(59,62),(60,45),(60,49),(60,116),(61,43),(61,63),(61,116),(62,40),(62,63),(63,41),(63,54),(63,82),(64,21),(64,65),(65,22),(65,34),(65,117),(66,33),(66,36),(67,51),(67,53),(67,85),(68,23),(68,30),(68,106),(69,15),(69,66),(69,79),(70,37),(70,53),(70,96),(71,19),(71,60),(71,77),(71,115),(72,59),(72,78),(73,23),(73,31),(73,95),(74,58),(74,59),(75,44),(75,64),(75,77),(76,55),(76,67),(76,70),(77,45),(77,50),(77,65),(77,81),(78,38),(78,57),(78,61),(79,36),(79,71),(79,75),(80,111),(80,123),(81,67),(81,113),(81,117),(82,97),(82,108),(82,118),(83,27),(83,96),(83,108),(84,91),(84,109),(85,68),(85,73),(85,94),(85,109),(86,92),(86,102),(87,28),(87,119),(88,29),(88,112),(88,119),(89,121),(90,111),(90,121),(91,106),(92,105),(93,101),(93,111),(94,30),(94,95),(94,110),(94,119),(95,90),(95,93),(95,107),(96,87),(96,104),(97,102),(97,103),(98,123),(99,122),(100,121),(100,123),(101,120),(102,105),(102,112),(103,99),(103,112),(104,99),(104,119),(105,98),(106,89),(106,100),(107,101),(107,121),(108,88),(108,103),(108,104),(109,31),(109,106),(109,110),(110,100),(110,107),(110,122),(111,120),(112,98),(112,122),(113,48),(113,84),(113,85),(114,47),(114,86),(114,118),(115,46),(115,76),(115,81),(116,35),(116,82),(116,83),(117,51),(117,84),(118,52),(118,88),(118,102),(119,80),(119,93),(119,122),(121,120),(122,101),(122,123),(123,120)],124)
[[1,2,4,5],[3,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,3),(2,64),(3,48),(4,7),(4,62),(5,52),(6,45),(6,46),(7,28),(7,59),(8,43),(8,44),(9,13),(9,27),(9,58),(10,15),(10,60),(10,61),(11,47),(11,60),(12,5),(12,47),(12,61),(13,30),(13,56),(14,34),(14,57),(15,14),(15,50),(15,63),(16,26),(16,39),(16,40),(17,83),(18,76),(19,68),(19,75),(20,65),(20,82),(21,69),(22,66),(23,72),(24,66),(24,69),(25,70),(25,71),(26,8),(26,79),(26,82),(27,4),(27,80),(28,73),(29,22),(30,33),(30,78),(31,25),(31,84),(32,36),(33,28),(33,67),(34,32),(35,19),(35,81),(36,18),(36,65),(37,17),(37,80),(38,18),(38,67),(39,31),(39,82),(40,42),(40,79),(41,46),(41,68),(41,71),(42,6),(42,41),(42,81),(43,29),(44,49),(45,21),(45,74),(46,23),(46,74),(47,2),(47,51),(48,33),(48,38),(49,21),(49,24),(50,34),(50,54),(51,54),(51,64),(52,27),(52,37),(53,36),(53,38),(53,78),(54,32),(54,53),(55,20),(55,26),(55,83),(56,20),(56,39),(56,78),(57,17),(57,55),(58,16),(58,55),(58,56),(58,80),(59,19),(59,41),(59,73),(60,50),(60,51),(61,9),(61,52),(61,63),(62,35),(62,42),(62,59),(63,37),(63,57),(63,58),(64,30),(64,48),(64,53),(65,76),(65,84),(66,77),(67,25),(67,73),(67,76),(68,24),(68,74),(68,85),(69,77),(70,22),(70,85),(71,23),(71,85),(72,77),(73,71),(73,75),(74,69),(74,72),(75,85),(76,70),(76,75),(78,31),(78,65),(78,67),(79,44),(79,81),(80,40),(80,62),(80,83),(81,45),(81,49),(81,68),(82,43),(82,84),(83,35),(83,79),(84,29),(84,70),(85,66),(85,72)],86)
[[1,2,4,6],[3,5]]=>([(0,2),(0,3),(1,4),(1,16),(2,1),(3,9),(3,10),(3,11),(4,6),(4,87),(5,86),(6,5),(6,88),(7,8),(7,84),(8,66),(8,81),(9,19),(9,82),(9,83),(10,20),(10,69),(10,83),(11,69),(11,82),(12,64),(12,67),(13,63),(13,65),(14,23),(14,78),(14,80),(15,18),(15,38),(15,68),(16,17),(16,79),(16,87),(17,46),(17,71),(18,47),(18,49),(19,42),(19,75),(20,76),(20,79),(21,31),(21,58),(21,59),(22,56),(22,57),(22,60),(23,27),(23,44),(23,45),(24,90),(25,93),(25,118),(26,91),(26,93),(27,92),(27,98),(28,94),(28,100),(28,101),(29,92),(29,95),(30,117),(31,89),(31,99),(32,100),(32,102),(33,96),(34,108),(35,109),(36,101),(36,103),(37,105),(38,14),(38,117),(39,55),(40,31),(40,91),(40,118),(41,32),(41,97),(42,39),(43,64),(43,96),(44,43),(44,98),(45,77),(45,92),(46,66),(46,116),(47,63),(47,112),(48,33),(49,51),(49,112),(50,35),(50,95),(51,27),(51,90),(52,29),(52,115),(53,26),(53,111),(53,114),(54,25),(54,111),(54,113),(55,24),(55,112),(56,52),(56,114),(57,78),(57,113),(58,61),(58,99),(59,74),(59,89),(60,21),(60,40),(60,113),(60,114),(61,36),(61,106),(62,12),(62,43),(63,48),(64,37),(64,94),(65,62),(66,73),(67,34),(67,94),(68,13),(68,47),(68,117),(69,7),(69,72),(70,54),(70,57),(70,116),(71,53),(71,56),(71,116),(72,39),(72,84),(73,29),(73,50),(74,28),(74,67),(74,97),(75,30),(75,68),(76,30),(76,38),(77,28),(77,32),(77,107),(78,45),(78,85),(79,46),(79,70),(80,44),(80,62),(81,24),(81,51),(82,42),(82,72),(83,15),(83,75),(83,76),(84,49),(84,55),(84,81),(85,41),(85,74),(85,77),(86,25),(86,26),(86,40),(87,22),(87,70),(87,71),(87,88),(88,53),(88,54),(88,60),(88,86),(89,97),(90,33),(90,98),(91,99),(91,110),(92,107),(93,35),(93,110),(94,105),(94,108),(95,36),(95,107),(95,109),(96,37),(97,34),(97,100),(98,96),(99,106),(100,108),(100,119),(101,105),(101,119),(102,119),(103,119),(105,104),(106,103),(107,101),(107,102),(108,104),(109,102),(109,103),(110,106),(110,109),(111,50),(111,93),(111,115),(112,48),(112,90),(113,59),(113,85),(113,118),(114,58),(114,91),(114,115),(115,61),(115,95),(115,110),(116,52),(116,73),(116,111),(117,65),(117,80),(118,41),(118,89),(119,104)],120)
[[1,2,4],[3,5],[6]]=>([(0,1),(1,5),(1,6),(2,34),(3,31),(4,9),(4,35),(5,7),(5,37),(6,10),(6,11),(6,37),(7,36),(8,25),(8,26),(9,14),(9,28),(10,21),(10,32),(11,21),(11,33),(12,13),(12,20),(12,27),(13,8),(13,42),(13,43),(14,40),(15,38),(15,42),(16,38),(16,43),(17,41),(19,39),(20,4),(20,43),(21,2),(21,44),(22,29),(22,45),(23,17),(24,31),(24,41),(25,23),(26,30),(27,22),(27,42),(28,24),(28,40),(29,14),(29,39),(30,3),(30,24),(31,18),(32,15),(32,27),(32,44),(33,16),(33,20),(33,44),(34,19),(34,29),(35,28),(35,30),(36,13),(36,15),(36,16),(37,12),(37,32),(37,33),(37,36),(38,19),(38,45),(39,17),(39,40),(40,41),(41,18),(42,25),(42,45),(43,26),(43,35),(44,22),(44,34),(44,38),(45,23),(45,39)],46)
[[1,2,4,5],[3],[6]]=>([(0,5),(0,6),(1,4),(1,56),(2,52),(3,8),(3,58),(4,9),(4,47),(5,2),(5,53),(6,1),(6,11),(6,53),(7,45),(7,46),(8,28),(8,57),(9,13),(9,43),(9,54),(10,42),(10,44),(11,15),(11,56),(11,59),(12,14),(12,27),(12,55),(13,30),(13,35),(14,43),(14,49),(15,33),(15,50),(16,26),(16,38),(16,39),(17,71),(18,63),(18,70),(19,78),(20,60),(20,77),(21,64),(22,61),(23,61),(23,64),(24,67),(25,65),(25,66),(26,10),(26,73),(26,77),(27,3),(27,75),(28,68),(29,36),(30,28),(30,62),(31,25),(31,79),(32,22),(33,29),(34,19),(34,75),(35,17),(35,62),(36,17),(36,60),(37,18),(37,74),(38,41),(38,73),(39,31),(39,77),(40,45),(40,63),(40,66),(41,7),(41,40),(41,74),(42,32),(43,30),(43,76),(44,48),(45,24),(45,69),(46,21),(46,69),(47,29),(47,54),(48,21),(48,23),(49,20),(49,39),(49,76),(50,19),(50,51),(51,20),(51,26),(51,78),(52,27),(52,34),(53,12),(53,52),(53,59),(54,35),(54,36),(54,76),(55,16),(55,49),(55,51),(55,75),(56,33),(56,47),(57,18),(57,40),(57,68),(58,37),(58,41),(58,57),(59,34),(59,50),(59,55),(60,71),(60,79),(61,72),(62,25),(62,68),(62,71),(63,23),(63,69),(63,80),(64,72),(65,22),(65,80),(66,24),(66,80),(67,72),(68,66),(68,70),(69,64),(69,67),(70,80),(71,65),(71,70),(73,44),(73,74),(74,46),(74,48),(74,63),(75,38),(75,58),(75,78),(76,31),(76,60),(76,62),(77,42),(77,79),(78,37),(78,73),(79,32),(79,65),(80,61),(80,67)],81)
[[1,2,4,6],[3],[5]]=>([(0,5),(0,6),(1,4),(1,56),(2,3),(2,55),(3,12),(3,34),(4,11),(4,17),(4,58),(5,2),(5,14),(5,66),(6,1),(6,13),(6,66),(7,49),(7,52),(8,50),(8,51),(9,19),(9,33),(9,57),(10,20),(10,67),(10,68),(11,16),(11,54),(11,72),(12,15),(12,53),(12,69),(13,56),(13,71),(14,55),(14,70),(15,23),(15,61),(16,22),(16,60),(17,42),(17,62),(17,72),(18,24),(18,40),(18,41),(19,36),(19,62),(19,69),(20,25),(20,35),(20,46),(21,95),(22,96),(23,80),(24,77),(24,78),(25,79),(25,86),(26,83),(26,84),(27,76),(27,84),(27,85),(28,82),(28,85),(29,82),(29,83),(30,91),(31,90),(32,81),(33,10),(33,95),(34,53),(35,64),(35,79),(36,49),(36,93),(37,32),(38,44),(38,77),(39,63),(39,79),(40,65),(40,78),(41,43),(41,77),(42,68),(42,94),(43,28),(43,87),(44,29),(44,87),(45,51),(45,81),(46,45),(46,86),(47,26),(47,88),(48,8),(48,45),(49,37),(50,30),(50,76),(51,31),(51,76),(52,48),(53,23),(53,93),(54,22),(54,94),(55,34),(56,58),(57,7),(57,36),(57,95),(58,42),(58,54),(59,39),(59,75),(60,24),(60,38),(60,96),(61,25),(61,39),(61,80),(62,59),(62,73),(63,28),(63,29),(63,89),(64,26),(64,27),(64,89),(65,27),(65,50),(65,88),(66,9),(66,70),(66,71),(67,46),(67,48),(68,35),(68,74),(69,59),(69,61),(69,93),(70,21),(70,57),(71,21),(71,33),(72,18),(72,60),(72,73),(72,94),(73,38),(73,41),(73,75),(74,47),(74,64),(74,65),(75,43),(75,44),(75,63),(76,90),(76,91),(77,87),(78,88),(79,89),(80,32),(80,86),(81,31),(82,97),(83,97),(84,91),(84,97),(85,90),(85,97),(86,81),(87,82),(88,30),(88,84),(89,83),(89,85),(90,92),(91,92),(93,37),(93,80),(94,40),(94,74),(94,96),(95,52),(95,67),(96,47),(96,78),(97,92)],98)
[[1,2,4],[3],[5],[6]]=>([(0,5),(0,6),(1,25),(2,11),(2,28),(3,4),(3,29),(4,9),(4,26),(5,27),(6,8),(6,10),(6,27),(7,19),(7,20),(8,13),(8,21),(9,14),(9,23),(10,3),(10,16),(10,21),(11,14),(11,22),(12,31),(13,32),(14,30),(16,2),(16,32),(17,25),(17,31),(18,12),(19,18),(20,24),(21,7),(21,29),(21,32),(22,17),(22,30),(23,12),(23,30),(24,1),(24,17),(25,15),(26,18),(26,23),(27,13),(27,16),(28,22),(28,24),(29,19),(29,26),(30,31),(31,15),(32,20),(32,28)],33)
[[1,2,3,6],[4,5]]=>([(0,2),(0,3),(1,4),(1,18),(2,1),(3,12),(3,13),(3,17),(4,8),(4,69),(5,6),(5,22),(6,46),(7,68),(8,7),(8,70),(9,14),(9,57),(10,15),(10,56),(11,64),(11,67),(12,53),(12,54),(13,53),(13,55),(14,51),(14,52),(15,34),(15,65),(16,33),(16,66),(17,19),(17,54),(17,55),(18,20),(18,63),(18,69),(19,42),(19,63),(20,37),(20,58),(21,45),(21,49),(21,50),(22,10),(23,79),(23,84),(24,78),(24,85),(25,75),(25,99),(26,75),(26,83),(27,78),(27,92),(28,88),(28,89),(29,79),(29,93),(30,94),(31,86),(31,87),(32,80),(32,81),(33,82),(34,74),(35,28),(36,27),(36,74),(36,77),(37,51),(37,73),(38,34),(39,30),(39,77),(40,33),(40,83),(40,99),(41,57),(42,22),(43,26),(43,72),(43,97),(44,25),(44,71),(44,97),(45,56),(45,71),(46,38),(47,28),(47,85),(47,91),(48,31),(48,84),(48,90),(49,16),(49,40),(49,71),(49,72),(50,11),(50,60),(50,72),(51,61),(52,38),(53,41),(54,5),(54,42),(55,9),(55,41),(56,62),(56,65),(57,46),(57,52),(58,43),(58,50),(58,73),(59,44),(59,45),(59,73),(60,36),(60,64),(60,98),(61,36),(61,39),(62,35),(62,47),(63,37),(63,59),(64,24),(64,27),(64,76),(65,24),(65,47),(65,74),(66,23),(66,48),(66,82),(67,23),(67,29),(67,76),(68,25),(68,26),(68,40),(69,21),(69,58),(69,59),(69,70),(70,43),(70,44),(70,49),(70,68),(71,62),(71,99),(72,66),(72,67),(72,83),(72,98),(73,60),(73,61),(73,97),(74,78),(74,91),(75,30),(75,95),(76,84),(76,85),(76,92),(76,93),(77,31),(77,91),(77,92),(77,94),(78,102),(79,101),(80,100),(81,100),(82,79),(82,90),(83,29),(83,82),(83,95),(84,32),(84,86),(84,101),(85,32),(85,88),(85,102),(86,81),(86,103),(87,103),(88,80),(88,104),(89,104),(90,87),(90,101),(91,89),(91,102),(92,86),(92,96),(92,102),(93,88),(93,96),(93,101),(94,87),(94,89),(94,96),(95,90),(95,93),(95,94),(96,103),(96,104),(97,39),(97,75),(97,98),(98,48),(98,76),(98,77),(98,95),(99,35),(101,80),(101,103),(102,81),(102,104),(103,100),(104,100)],105)
[[1,2,3],[4,5],[6]]=>([(0,1),(1,5),(1,6),(2,36),(3,35),(4,12),(4,29),(5,7),(5,38),(6,9),(6,10),(6,38),(7,37),(8,27),(8,31),(9,24),(9,33),(10,24),(10,32),(11,23),(11,25),(11,26),(12,17),(12,20),(12,22),(13,51),(14,48),(15,44),(16,49),(17,43),(17,50),(18,40),(18,52),(19,41),(19,52),(20,42),(20,50),(21,42),(21,47),(22,42),(22,43),(23,4),(23,40),(24,3),(24,39),(25,2),(25,40),(25,41),(26,8),(26,34),(26,41),(27,16),(27,46),(28,15),(28,49),(29,17),(30,21),(30,22),(30,51),(31,20),(31,21),(31,46),(32,19),(32,26),(32,39),(33,18),(33,23),(33,39),(34,30),(34,31),(34,45),(35,13),(35,30),(36,16),(36,28),(37,18),(37,19),(37,25),(38,11),(38,32),(38,33),(38,37),(39,34),(39,35),(39,52),(40,29),(41,27),(41,36),(41,45),(42,53),(43,53),(44,48),(45,28),(45,46),(45,51),(46,47),(46,49),(46,50),(47,44),(47,53),(49,14),(49,44),(50,14),(50,53),(51,15),(51,43),(51,47),(52,13),(52,45),(53,48)],54)
[[1,2,5,6],[3],[4]]=>([(0,11),(0,12),(1,2),(2,8),(3,10),(3,45),(4,44),(5,18),(5,60),(6,19),(6,58),(7,17),(7,28),(8,9),(8,59),(9,52),(10,14),(10,20),(10,61),(11,1),(11,43),(12,3),(12,15),(12,43),(13,24),(13,42),(14,16),(14,55),(14,56),(15,39),(15,45),(16,29),(16,30),(17,53),(17,59),(18,31),(18,50),(19,23),(19,54),(20,41),(20,53),(20,56),(21,68),(22,65),(22,68),(23,64),(24,62),(25,62),(25,65),(26,70),(27,67),(28,6),(29,33),(29,73),(30,36),(30,73),(31,27),(31,72),(32,26),(32,69),(33,34),(34,21),(35,21),(35,66),(36,48),(37,22),(38,22),(38,66),(38,72),(39,28),(40,35),(40,64),(41,58),(41,63),(42,32),(42,62),(43,7),(43,39),(44,5),(44,49),(45,4),(45,61),(46,33),(46,51),(47,40),(47,51),(48,24),(48,25),(49,36),(49,60),(50,25),(50,42),(50,72),(51,34),(51,35),(52,23),(52,40),(53,46),(53,47),(54,31),(54,38),(54,64),(55,30),(55,49),(55,63),(56,29),(56,46),(56,63),(57,37),(57,38),(58,54),(58,57),(59,47),(59,52),(60,13),(60,48),(60,50),(61,41),(61,44),(61,55),(62,69),(63,57),(63,73),(64,27),(64,66),(65,69),(65,71),(66,67),(66,68),(67,26),(67,71),(68,71),(69,70),(71,70),(72,32),(72,65),(72,67),(73,37)],74)
[[1,2,5],[3,6],[4]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,9),(4,47),(5,46),(6,35),(7,14),(7,36),(8,37),(9,15),(9,16),(9,47),(10,29),(10,30),(11,19),(11,44),(12,31),(12,34),(13,37),(13,41),(14,23),(14,24),(15,10),(15,42),(15,43),(16,33),(16,41),(16,43),(17,51),(18,51),(18,52),(19,49),(20,50),(22,36),(23,20),(23,52),(24,35),(24,52),(25,21),(26,28),(27,18),(28,17),(29,26),(29,53),(30,22),(30,53),(31,11),(31,45),(32,17),(32,49),(33,31),(33,48),(34,7),(34,22),(35,25),(36,6),(36,24),(37,5),(37,39),(38,26),(38,40),(39,40),(39,46),(40,28),(40,32),(41,38),(41,39),(42,30),(42,34),(42,48),(43,29),(43,38),(43,48),(44,18),(44,23),(44,49),(45,27),(45,44),(46,19),(46,32),(47,12),(47,33),(47,42),(48,45),(48,53),(49,20),(49,51),(50,21),(51,50),(52,25),(52,50),(53,27)],54)
[[1,2,5],[3],[4],[6]]=>([(0,7),(0,8),(1,31),(2,27),(3,12),(3,30),(4,6),(4,28),(5,13),(5,29),(6,9),(6,22),(7,10),(7,11),(7,32),(8,1),(8,32),(9,16),(9,26),(10,24),(10,25),(11,4),(11,18),(11,24),(12,21),(12,23),(13,15),(13,23),(13,26),(14,34),(15,33),(15,36),(16,33),(18,5),(18,35),(19,30),(20,17),(21,27),(21,36),(22,16),(23,14),(23,36),(24,28),(24,35),(25,19),(25,35),(26,14),(26,33),(27,20),(28,22),(29,15),(30,2),(30,21),(31,3),(31,19),(32,18),(32,25),(32,31),(33,34),(34,17),(35,29),(36,20),(36,34)],37)
[[1,2,3],[4,6],[5]]=>([(0,3),(0,4),(1,7),(1,15),(2,14),(3,6),(3,8),(4,1),(5,41),(6,42),(7,5),(7,46),(8,11),(8,16),(8,42),(9,32),(9,33),(10,22),(10,35),(11,31),(11,36),(12,30),(12,43),(13,23),(13,45),(14,24),(14,34),(15,44),(15,46),(16,28),(16,36),(16,44),(17,54),(18,50),(18,54),(19,49),(19,50),(20,52),(21,55),(22,2),(23,51),(24,49),(25,21),(25,56),(26,18),(26,53),(26,59),(27,17),(27,53),(28,35),(28,58),(29,27),(29,51),(30,20),(30,59),(31,22),(31,58),(32,39),(33,40),(34,25),(34,49),(35,12),(35,38),(36,9),(36,37),(36,58),(37,33),(37,48),(38,39),(38,43),(39,19),(39,24),(40,17),(40,18),(41,23),(41,29),(42,10),(42,28),(42,31),(43,19),(43,34),(43,59),(44,37),(44,47),(45,26),(45,30),(45,51),(46,13),(46,41),(46,47),(47,29),(47,45),(47,48),(48,26),(48,27),(48,40),(49,56),(50,56),(50,57),(51,20),(51,53),(52,21),(52,57),(53,52),(53,54),(54,57),(56,55),(57,55),(58,32),(58,38),(59,25),(59,50),(59,52)],60)
[[1,2,4],[3,6],[5]]=>([(0,3),(0,4),(1,13),(2,7),(2,12),(3,6),(3,8),(4,2),(5,41),(6,43),(7,36),(8,11),(8,16),(8,43),(9,26),(9,37),(10,25),(10,50),(11,14),(11,44),(11,46),(12,36),(12,45),(13,34),(13,35),(14,17),(14,39),(15,18),(15,29),(15,30),(16,28),(16,45),(16,46),(17,65),(18,52),(18,53),(19,55),(19,58),(20,55),(20,56),(21,56),(21,57),(22,51),(22,57),(22,58),(23,62),(24,61),(25,54),(26,1),(27,32),(27,53),(28,37),(28,64),(29,42),(29,52),(30,31),(30,53),(31,19),(31,59),(32,20),(32,59),(33,21),(33,60),(34,23),(34,51),(35,24),(35,51),(36,5),(36,38),(37,10),(37,48),(38,41),(38,49),(39,18),(39,27),(39,65),(40,19),(40,20),(40,54),(41,25),(41,40),(42,22),(42,34),(42,60),(43,9),(43,28),(43,44),(44,17),(44,26),(44,64),(45,38),(45,47),(46,15),(46,39),(46,47),(46,64),(47,27),(47,30),(47,49),(48,33),(48,42),(48,50),(49,31),(49,32),(49,40),(50,21),(50,22),(50,35),(50,54),(51,61),(51,62),(52,60),(53,59),(54,24),(54,56),(54,58),(55,66),(56,66),(57,62),(57,66),(58,61),(58,66),(59,55),(60,23),(60,57),(61,63),(62,63),(64,29),(64,48),(64,65),(65,33),(65,52),(66,63)],67)
[[1,2,6],[3],[4],[5]]=>([(0,13),(0,14),(1,19),(1,20),(2,17),(3,17),(3,20),(4,18),(5,18),(5,19),(6,10),(7,6),(7,27),(8,9),(8,28),(9,15),(10,2),(11,3),(12,1),(13,7),(13,16),(14,8),(14,16),(15,4),(15,5),(16,27),(16,28),(17,24),(18,25),(19,25),(19,26),(20,24),(20,26),(22,21),(23,21),(24,22),(25,23),(26,22),(26,23),(27,11),(28,12)],29)
[[1,2],[3],[4],[5],[6]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3,4,5,6],[2]]=>([(0,1),(1,3),(1,4),(2,46),(3,8),(3,44),(4,9),(4,44),(5,51),(6,50),(7,6),(7,54),(8,7),(8,52),(9,5),(9,53),(10,37),(10,47),(11,34),(11,45),(12,35),(12,36),(13,20),(13,48),(14,19),(14,49),(15,77),(16,74),(17,11),(17,82),(17,84),(18,63),(18,71),(19,62),(20,2),(20,67),(21,57),(21,73),(22,75),(22,84),(23,69),(24,63),(24,65),(25,61),(25,64),(26,66),(26,72),(27,18),(27,57),(27,76),(28,19),(28,78),(29,23),(29,60),(30,25),(30,82),(30,83),(31,28),(31,55),(32,16),(32,60),(33,15),(33,55),(34,16),(34,59),(35,13),(35,38),(35,58),(36,10),(36,41),(36,58),(37,14),(37,28),(37,56),(38,20),(38,70),(39,40),(39,70),(40,15),(40,68),(41,31),(41,37),(41,81),(42,39),(42,43),(42,58),(43,33),(43,40),(43,81),(44,12),(44,52),(44,53),(45,18),(45,24),(45,59),(46,29),(46,32),(47,17),(47,22),(47,56),(48,17),(48,30),(48,67),(49,21),(49,27),(49,62),(50,31),(50,33),(51,38),(51,39),(52,36),(52,42),(52,54),(53,35),(53,42),(53,51),(54,41),(54,43),(54,50),(55,25),(55,77),(55,78),(56,49),(56,75),(56,78),(56,82),(57,26),(57,71),(57,86),(58,47),(58,48),(58,70),(58,81),(59,65),(59,71),(59,74),(60,26),(60,69),(60,74),(61,24),(61,76),(61,89),(62,73),(62,76),(63,88),(64,23),(64,89),(65,80),(65,88),(66,87),(67,46),(67,83),(67,84),(68,75),(68,77),(68,83),(69,66),(69,80),(70,22),(70,67),(70,68),(71,72),(71,88),(72,87),(73,86),(74,72),(74,80),(75,21),(75,79),(75,85),(76,63),(76,86),(77,64),(77,79),(78,61),(78,62),(78,79),(79,73),(79,89),(80,87),(81,30),(81,55),(81,56),(81,68),(82,27),(82,45),(82,61),(82,85),(83,29),(83,64),(83,85),(84,32),(84,34),(84,85),(85,57),(85,59),(85,60),(85,89),(86,66),(86,88),(88,87),(89,65),(89,69),(89,86)],90)
[[1,3,4,5],[2,6]]=>([(0,1),(1,4),(1,5),(2,41),(3,40),(4,6),(4,42),(5,7),(5,42),(6,8),(6,43),(7,9),(7,44),(8,35),(9,36),(10,33),(10,34),(11,23),(11,38),(12,24),(12,39),(13,29),(13,30),(14,53),(14,59),(15,52),(15,60),(16,50),(17,51),(18,55),(19,56),(20,54),(21,10),(21,52),(21,53),(22,45),(23,3),(23,47),(24,2),(24,48),(25,22),(25,57),(26,22),(26,58),(27,23),(27,57),(28,24),(28,58),(29,11),(29,27),(29,46),(30,12),(30,28),(30,46),(31,16),(31,55),(32,17),(32,56),(33,16),(33,49),(34,17),(34,49),(35,25),(35,27),(36,26),(36,28),(37,25),(37,26),(37,46),(38,14),(38,21),(38,47),(39,15),(39,21),(39,48),(40,18),(40,31),(41,19),(41,32),(42,13),(42,43),(42,44),(43,29),(43,35),(43,37),(44,30),(44,36),(44,37),(45,59),(45,60),(46,38),(46,39),(46,57),(46,58),(47,40),(47,52),(47,59),(48,41),(48,53),(48,60),(49,50),(49,51),(50,54),(51,54),(52,31),(52,33),(52,61),(53,32),(53,34),(53,61),(55,20),(55,50),(56,20),(56,51),(57,15),(57,45),(57,47),(58,14),(58,45),(58,48),(59,18),(59,61),(60,19),(60,61),(61,49),(61,55),(61,56)],62)
[[1,3,4,6],[2,5]]=>([(0,2),(0,3),(1,6),(1,17),(2,9),(2,10),(3,1),(4,54),(5,55),(6,7),(6,61),(7,8),(7,63),(8,51),(9,4),(9,58),(10,16),(10,58),(11,33),(11,60),(12,47),(12,48),(13,49),(13,59),(14,44),(14,45),(15,32),(15,46),(16,18),(16,62),(16,65),(17,61),(17,62),(18,36),(18,50),(19,31),(19,38),(19,39),(20,78),(21,66),(22,69),(23,75),(23,84),(24,67),(25,85),(26,71),(27,70),(27,80),(28,76),(28,79),(29,67),(29,69),(30,12),(30,85),(31,14),(31,83),(31,84),(32,5),(32,82),(33,72),(34,22),(35,21),(35,82),(36,52),(37,31),(37,66),(38,57),(38,84),(39,30),(39,83),(40,33),(40,74),(41,20),(41,74),(42,20),(42,75),(43,48),(43,70),(43,76),(44,56),(45,34),(46,19),(46,37),(46,82),(47,22),(47,77),(48,26),(48,77),(49,11),(49,40),(49,68),(50,21),(50,37),(51,40),(51,41),(52,23),(52,42),(53,41),(53,42),(53,68),(54,32),(54,35),(55,25),(55,30),(56,24),(56,29),(57,27),(57,43),(57,73),(58,15),(58,54),(58,65),(59,23),(59,38),(59,68),(60,28),(60,43),(60,72),(61,13),(61,63),(61,64),(62,36),(62,64),(63,49),(63,51),(63,53),(64,52),(64,53),(64,59),(65,35),(65,46),(65,50),(66,25),(66,83),(67,81),(68,57),(68,60),(68,74),(68,75),(69,81),(70,26),(70,86),(71,81),(72,70),(72,79),(73,56),(73,76),(73,80),(74,27),(74,72),(74,78),(75,28),(75,73),(75,78),(76,29),(76,77),(76,86),(77,69),(77,71),(78,79),(78,80),(79,86),(80,24),(80,86),(82,39),(82,55),(82,66),(83,45),(83,85),(84,44),(84,73),(85,34),(85,47),(86,67),(86,71)],87)
[[1,3,4],[2,5],[6]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,3,5,6],[2,4]]=>([(0,1),(0,2),(1,6),(1,8),(2,5),(2,9),(3,60),(4,48),(5,38),(6,45),(7,17),(7,61),(8,18),(8,45),(9,14),(9,15),(9,38),(10,50),(10,65),(11,52),(11,53),(12,51),(12,66),(13,35),(13,67),(14,21),(14,64),(14,69),(15,68),(15,69),(16,34),(16,49),(17,33),(17,63),(18,20),(18,62),(18,68),(19,44),(19,58),(20,40),(20,56),(21,19),(21,54),(21,70),(22,74),(23,73),(23,75),(24,78),(24,91),(25,79),(26,81),(26,82),(27,78),(27,85),(28,90),(29,80),(30,82),(30,89),(31,81),(31,88),(32,83),(33,93),(34,3),(34,75),(35,84),(36,27),(36,76),(36,77),(37,34),(38,7),(38,64),(39,29),(39,95),(40,37),(41,51),(41,87),(42,24),(42,74),(43,24),(43,73),(43,77),(44,55),(45,4),(45,62),(46,28),(46,79),(47,35),(47,85),(48,16),(48,37),(49,39),(49,75),(50,22),(50,94),(51,25),(51,86),(52,12),(52,41),(52,76),(53,13),(53,47),(53,76),(54,44),(54,72),(55,27),(55,47),(56,33),(56,59),(57,42),(57,43),(57,94),(58,22),(58,42),(59,23),(59,43),(59,93),(60,25),(60,46),(61,11),(61,63),(61,72),(62,40),(62,48),(63,36),(63,52),(63,93),(64,54),(64,61),(65,23),(65,49),(65,94),(66,26),(66,31),(66,86),(67,26),(67,30),(67,84),(68,56),(68,71),(69,10),(69,70),(69,71),(70,50),(70,57),(70,58),(71,57),(71,59),(71,65),(72,36),(72,53),(72,55),(73,91),(73,95),(74,29),(74,91),(75,60),(75,95),(76,66),(76,67),(76,85),(76,87),(77,78),(77,87),(78,92),(79,32),(79,90),(80,28),(81,96),(82,32),(82,96),(84,81),(84,89),(85,31),(85,84),(85,92),(86,79),(86,82),(86,88),(87,30),(87,86),(87,92),(88,90),(88,96),(89,96),(90,83),(91,80),(92,88),(92,89),(93,41),(93,77),(94,39),(94,73),(94,74),(95,46),(95,80),(96,83)],97)
[[1,3,5],[2,4,6]]=>([(0,1),(1,9),(1,10),(1,11),(2,51),(3,45),(4,14),(4,46),(5,44),(6,33),(6,35),(7,34),(7,47),(8,26),(8,36),(9,37),(9,38),(10,37),(10,48),(11,12),(11,38),(11,48),(12,13),(12,40),(12,50),(13,27),(13,39),(14,25),(14,30),(14,43),(15,61),(16,62),(17,63),(18,62),(19,63),(21,64),(22,57),(22,59),(23,55),(23,57),(24,53),(24,58),(25,52),(25,53),(26,3),(26,55),(27,41),(28,22),(28,64),(29,22),(29,52),(29,58),(30,31),(30,53),(31,15),(31,60),(32,33),(32,65),(33,19),(33,56),(34,21),(34,54),(35,18),(35,56),(36,6),(36,32),(36,55),(37,2),(37,49),(38,4),(38,40),(39,21),(39,28),(40,27),(40,46),(41,23),(41,26),(42,28),(42,29),(42,54),(43,23),(43,36),(43,52),(44,17),(44,19),(45,16),(45,18),(46,8),(46,41),(46,43),(47,24),(47,30),(47,54),(48,7),(48,49),(48,50),(49,42),(49,47),(49,51),(50,34),(50,39),(50,42),(51,24),(51,25),(51,29),(52,32),(52,57),(53,5),(53,60),(54,31),(54,58),(54,64),(55,35),(55,45),(55,65),(56,62),(56,63),(57,65),(58,59),(58,60),(59,61),(60,44),(60,61),(61,17),(62,20),(63,20),(64,15),(64,59),(65,16),(65,56)],66)
[[1,3,5],[2,4],[6]]=>([(0,5),(0,6),(1,39),(2,4),(2,44),(3,13),(3,40),(4,12),(4,45),(5,29),(6,2),(6,14),(6,29),(7,25),(7,36),(8,24),(8,35),(9,21),(9,26),(10,22),(10,23),(11,33),(11,34),(12,27),(12,43),(13,27),(13,42),(14,15),(14,41),(14,44),(15,28),(15,37),(16,54),(17,54),(19,46),(19,50),(20,48),(20,50),(21,53),(22,52),(23,52),(24,51),(25,1),(25,46),(26,10),(26,53),(27,47),(28,38),(29,3),(29,41),(30,20),(30,51),(31,26),(31,48),(32,33),(32,55),(33,22),(33,49),(34,17),(34,49),(35,9),(35,31),(35,51),(36,11),(36,32),(36,46),(37,24),(37,30),(38,19),(38,25),(39,16),(39,17),(40,7),(40,38),(40,42),(41,28),(41,40),(42,19),(42,36),(42,47),(43,20),(43,31),(43,47),(44,8),(44,37),(44,45),(45,30),(45,35),(45,43),(46,34),(46,39),(46,55),(47,32),(47,50),(48,53),(49,52),(49,54),(50,55),(51,21),(51,48),(52,18),(53,23),(54,18),(55,16),(55,49)],56)
[[1,3,4],[2,5,6]]=>([(0,1),(1,10),(1,11),(1,12),(2,48),(3,34),(4,14),(4,29),(5,49),(6,40),(7,37),(7,43),(8,35),(8,36),(9,24),(9,44),(10,39),(10,45),(11,38),(11,39),(12,13),(12,38),(12,45),(13,6),(13,25),(13,47),(14,16),(14,27),(14,28),(15,62),(16,50),(16,66),(17,50),(17,53),(18,54),(19,51),(20,56),(21,51),(21,54),(22,59),(22,63),(23,55),(23,64),(24,57),(25,29),(26,35),(27,42),(27,50),(28,34),(28,66),(29,3),(29,28),(30,24),(30,58),(31,15),(31,53),(31,66),(32,15),(32,58),(33,36),(33,55),(33,59),(34,8),(34,26),(35,18),(35,60),(36,20),(36,60),(37,9),(37,30),(37,52),(38,4),(38,25),(39,2),(39,46),(40,30),(40,32),(41,31),(41,32),(41,52),(42,23),(42,33),(42,61),(43,17),(43,27),(43,52),(44,22),(44,33),(44,57),(45,7),(45,46),(45,47),(46,41),(46,43),(46,48),(47,37),(47,40),(47,41),(48,16),(48,17),(48,31),(49,18),(49,19),(49,21),(50,5),(50,61),(51,65),(52,42),(52,44),(52,53),(52,58),(53,22),(53,61),(53,62),(54,65),(55,20),(55,67),(56,65),(57,55),(57,63),(58,23),(58,57),(58,62),(59,21),(59,60),(59,67),(60,54),(60,56),(61,49),(61,59),(61,64),(62,63),(62,64),(63,67),(64,19),(64,67),(66,26),(67,51),(67,56)],68)
[[1,3,6],[2,4],[5]]=>([(0,12),(0,13),(1,2),(2,8),(2,17),(3,41),(4,11),(4,42),(5,39),(6,25),(7,38),(8,10),(8,48),(9,19),(9,40),(10,44),(11,14),(11,43),(12,1),(12,37),(13,4),(13,16),(13,37),(14,35),(14,36),(15,32),(15,33),(16,34),(16,42),(17,47),(17,48),(18,20),(18,46),(19,31),(19,36),(19,47),(20,50),(21,52),(22,52),(22,54),(24,51),(25,7),(26,45),(27,23),(28,25),(29,33),(30,21),(30,50),(31,39),(31,53),(32,24),(32,54),(33,38),(33,54),(34,40),(35,28),(35,53),(36,26),(36,53),(37,9),(37,34),(38,27),(39,15),(39,29),(40,5),(40,31),(41,6),(41,28),(42,3),(42,43),(43,35),(43,41),(44,20),(44,30),(45,21),(45,22),(46,22),(46,32),(46,50),(47,26),(47,49),(48,18),(48,44),(48,49),(49,30),(49,45),(49,46),(50,24),(50,52),(51,23),(52,51),(53,29),(54,27),(54,51)],55)
[[1,3],[2,4],[5],[6]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,3,4,5],[2],[6]]=>([(0,7),(0,8),(1,41),(2,40),(3,5),(3,42),(4,6),(4,43),(5,34),(6,35),(7,3),(7,36),(8,4),(8,36),(9,32),(9,33),(10,28),(10,29),(11,22),(11,38),(12,23),(12,39),(13,52),(13,58),(14,51),(14,59),(15,49),(16,50),(17,54),(18,55),(19,53),(20,9),(20,51),(20,52),(21,44),(22,2),(22,46),(23,1),(23,47),(24,21),(24,56),(25,21),(25,57),(26,22),(26,56),(27,23),(27,57),(28,11),(28,26),(28,45),(29,12),(29,27),(29,45),(30,15),(30,54),(31,16),(31,55),(32,15),(32,48),(33,16),(33,48),(34,24),(34,26),(35,25),(35,27),(36,10),(36,42),(36,43),(37,24),(37,25),(37,45),(38,13),(38,20),(38,46),(39,14),(39,20),(39,47),(40,17),(40,30),(41,18),(41,31),(42,28),(42,34),(42,37),(43,29),(43,35),(43,37),(44,58),(44,59),(45,38),(45,39),(45,56),(45,57),(46,40),(46,51),(46,58),(47,41),(47,52),(47,59),(48,49),(48,50),(49,53),(50,53),(51,30),(51,32),(51,60),(52,31),(52,33),(52,60),(54,19),(54,49),(55,19),(55,50),(56,14),(56,44),(56,46),(57,13),(57,44),(57,47),(58,17),(58,60),(59,18),(59,60),(60,48),(60,54),(60,55)],61)
[[1,3,4,6],[2],[5]]=>([(0,5),(0,6),(1,4),(1,56),(2,50),(3,49),(4,9),(4,13),(4,58),(5,3),(5,53),(6,1),(6,8),(6,53),(7,44),(7,45),(8,15),(8,56),(8,59),(9,46),(9,54),(10,30),(10,57),(11,41),(11,42),(12,29),(12,43),(13,14),(13,46),(13,55),(14,37),(14,38),(15,33),(15,47),(16,28),(16,35),(16,36),(17,72),(18,60),(19,63),(20,68),(20,78),(21,61),(22,79),(23,65),(24,64),(24,74),(25,70),(25,73),(26,61),(26,63),(27,7),(27,79),(28,11),(28,77),(28,78),(29,2),(29,76),(30,66),(31,19),(32,18),(32,76),(33,48),(34,28),(34,60),(35,52),(35,78),(36,27),(36,77),(37,17),(37,69),(38,30),(38,69),(39,17),(39,68),(40,45),(40,64),(40,70),(41,51),(42,31),(43,16),(43,34),(43,76),(44,19),(44,71),(45,23),(45,71),(46,10),(46,38),(46,62),(47,18),(47,34),(48,20),(48,39),(49,29),(49,32),(50,22),(50,27),(51,21),(51,26),(52,24),(52,40),(52,67),(53,12),(53,49),(53,59),(54,20),(54,35),(54,62),(55,37),(55,39),(55,62),(56,33),(56,58),(57,25),(57,40),(57,66),(58,48),(58,54),(58,55),(59,32),(59,43),(59,47),(60,22),(60,77),(61,75),(62,52),(62,57),(62,68),(62,69),(63,75),(64,23),(64,80),(65,75),(66,64),(66,73),(67,51),(67,70),(67,74),(68,25),(68,67),(68,72),(69,24),(69,66),(69,72),(70,26),(70,71),(70,80),(71,63),(71,65),(72,73),(72,74),(73,80),(74,21),(74,80),(76,36),(76,50),(76,60),(77,42),(77,79),(78,41),(78,67),(79,31),(79,44),(80,61),(80,65)],81)
[[1,3,4],[2],[5],[6]]=>([(0,5),(0,6),(1,24),(2,22),(3,21),(4,23),(5,8),(5,9),(5,25),(6,4),(6,25),(7,14),(7,20),(8,15),(8,19),(9,15),(9,18),(11,29),(12,26),(13,3),(13,29),(14,2),(14,28),(15,1),(15,27),(16,14),(16,26),(17,10),(18,12),(18,27),(19,7),(19,16),(19,27),(20,13),(20,28),(21,10),(22,17),(23,12),(23,16),(24,11),(24,13),(25,18),(25,19),(25,23),(26,11),(26,28),(27,20),(27,24),(27,26),(28,22),(28,29),(29,17),(29,21)],30)
[[1,3,5,6],[2],[4]]=>([(0,5),(0,6),(1,49),(2,38),(3,4),(3,53),(4,7),(4,12),(4,55),(5,33),(6,3),(6,11),(6,33),(7,42),(7,50),(8,29),(8,39),(9,28),(9,41),(10,15),(10,40),(10,52),(11,14),(11,51),(11,53),(12,13),(12,42),(12,54),(13,17),(13,45),(14,30),(14,44),(15,31),(15,43),(16,21),(16,25),(16,26),(17,71),(18,74),(19,58),(19,70),(20,73),(21,58),(21,72),(22,63),(23,64),(24,56),(24,68),(25,62),(25,72),(26,58),(26,62),(27,61),(27,67),(28,59),(29,1),(29,56),(30,32),(31,20),(31,57),(32,29),(33,2),(33,51),(34,47),(34,67),(35,27),(35,66),(35,68),(36,23),(36,73),(37,18),(37,69),(38,8),(38,32),(39,37),(39,56),(40,31),(40,75),(41,10),(41,48),(41,59),(42,17),(42,60),(43,19),(43,21),(43,57),(44,28),(44,46),(45,27),(45,34),(45,71),(46,24),(46,35),(46,59),(47,19),(47,26),(47,65),(48,34),(48,52),(48,66),(49,20),(49,36),(50,24),(50,39),(50,60),(51,30),(51,38),(52,16),(52,43),(52,47),(52,75),(53,9),(53,44),(53,55),(54,35),(54,45),(54,48),(54,60),(55,41),(55,46),(55,50),(55,54),(56,49),(56,69),(57,70),(57,72),(57,73),(58,76),(59,40),(59,66),(60,37),(60,68),(60,71),(61,74),(62,76),(64,63),(65,62),(65,70),(66,67),(66,75),(67,65),(68,61),(68,69),(69,36),(69,74),(70,64),(70,76),(71,18),(71,61),(72,22),(72,76),(73,22),(73,64),(74,23),(75,25),(75,57),(75,65),(76,63)],77)
[[1,3,5],[2,6],[4]]=>([(0,1),(1,3),(1,5),(2,37),(3,2),(3,36),(4,34),(5,6),(5,9),(5,36),(6,32),(6,35),(7,11),(7,30),(7,31),(8,21),(8,22),(9,10),(9,32),(9,38),(10,14),(10,33),(11,24),(11,26),(12,20),(12,27),(12,29),(13,47),(14,51),(15,49),(17,49),(18,43),(18,44),(19,39),(19,45),(20,39),(20,41),(21,50),(22,50),(23,31),(23,43),(24,22),(24,42),(25,18),(25,41),(25,45),(26,17),(26,42),(27,28),(27,39),(28,13),(28,46),(29,7),(29,23),(29,41),(30,26),(30,48),(31,8),(31,24),(31,48),(32,14),(32,40),(33,18),(33,23),(33,51),(34,15),(34,17),(35,19),(35,27),(35,40),(36,12),(36,35),(36,37),(36,38),(37,19),(37,20),(37,25),(38,25),(38,29),(38,33),(38,40),(39,4),(39,46),(40,28),(40,45),(40,51),(41,30),(41,43),(42,49),(42,50),(43,48),(44,47),(45,44),(45,46),(46,34),(46,47),(47,15),(48,21),(48,42),(49,16),(50,16),(51,13),(51,44)],52)
[[1,3,5],[2],[4],[6]]=>([(0,1),(0,2),(1,9),(1,10),(1,32),(2,7),(2,8),(2,32),(3,14),(3,16),(4,15),(4,17),(5,18),(5,19),(6,11),(6,26),(6,29),(7,21),(7,31),(8,21),(8,28),(9,20),(9,27),(10,20),(10,30),(11,23),(11,24),(12,34),(12,35),(14,37),(15,38),(16,37),(17,38),(18,40),(19,4),(19,40),(20,33),(21,41),(22,29),(22,34),(23,14),(23,36),(24,15),(24,36),(25,19),(25,35),(26,24),(26,39),(27,6),(27,22),(27,33),(28,5),(28,25),(28,41),(29,3),(29,23),(29,39),(30,12),(30,25),(30,33),(31,12),(31,22),(31,41),(32,27),(32,28),(32,30),(32,31),(33,26),(33,34),(34,39),(35,40),(36,37),(36,38),(37,13),(38,13),(39,16),(39,36),(40,17),(41,18),(41,35)],42)
[[1,3,4],[2,6],[5]]=>([(0,1),(1,4),(1,5),(2,38),(3,10),(3,32),(4,6),(4,39),(5,9),(5,11),(5,39),(6,36),(7,21),(7,35),(8,24),(8,25),(9,8),(9,31),(9,37),(10,29),(10,30),(11,31),(11,33),(12,22),(12,23),(12,27),(13,48),(14,47),(15,51),(15,54),(16,52),(16,56),(17,49),(17,53),(18,46),(19,46),(19,47),(20,42),(21,44),(22,41),(22,51),(23,3),(23,41),(24,21),(24,55),(25,20),(25,55),(26,30),(26,52),(26,53),(27,34),(27,51),(28,20),(28,41),(28,54),(29,14),(29,40),(30,13),(30,40),(31,7),(31,24),(31,43),(32,29),(33,15),(33,27),(33,43),(34,16),(34,26),(34,45),(35,17),(35,26),(35,44),(36,15),(36,22),(36,28),(37,23),(37,25),(37,28),(37,43),(38,14),(38,18),(38,19),(39,12),(39,33),(39,36),(39,37),(40,47),(40,48),(41,32),(42,49),(42,56),(43,34),(43,35),(43,54),(43,55),(44,49),(44,52),(45,38),(45,53),(45,56),(46,50),(47,50),(48,50),(49,57),(51,2),(51,45),(52,13),(52,57),(53,19),(53,40),(53,57),(54,17),(54,42),(54,45),(55,16),(55,42),(55,44),(56,18),(56,57),(57,46),(57,48)],58)
[[1,3,6],[2],[4],[5]]=>([(0,7),(0,8),(1,30),(2,19),(3,27),(4,12),(4,28),(5,6),(5,29),(6,9),(6,13),(6,31),(7,10),(7,11),(7,32),(8,1),(8,32),(9,16),(9,26),(10,24),(10,25),(11,5),(11,18),(11,24),(12,22),(12,23),(13,15),(13,23),(13,26),(14,34),(15,33),(15,36),(16,33),(18,4),(18,35),(19,3),(20,17),(21,19),(22,27),(22,36),(23,14),(23,36),(24,29),(24,35),(25,21),(25,35),(26,14),(26,33),(27,20),(28,22),(29,31),(30,2),(30,21),(31,15),(31,16),(32,18),(32,25),(32,30),(33,34),(34,17),(35,28),(36,20),(36,34)],37)
[[1,3],[2],[4],[5],[6]]=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
[[1,2,5,6],[3,4]]=>([(0,2),(0,3),(1,4),(2,6),(2,8),(3,1),(4,5),(4,51),(5,43),(6,32),(7,14),(7,49),(8,11),(8,13),(8,32),(9,39),(9,52),(10,40),(10,53),(11,51),(11,54),(12,27),(12,57),(13,15),(13,50),(13,54),(14,16),(14,38),(14,56),(15,17),(15,44),(15,45),(16,19),(16,47),(17,28),(17,29),(18,72),(18,73),(19,68),(20,62),(21,66),(21,67),(22,58),(22,76),(23,65),(24,58),(24,67),(24,77),(25,66),(25,75),(26,63),(26,64),(27,69),(28,46),(29,34),(30,37),(30,61),(31,18),(31,59),(31,74),(32,7),(32,50),(33,27),(33,60),(34,20),(35,18),(35,60),(35,62),(36,39),(36,59),(36,64),(37,20),(37,70),(38,19),(38,61),(39,23),(39,71),(40,12),(40,33),(40,81),(41,34),(41,37),(42,30),(42,41),(43,30),(43,38),(44,29),(44,41),(45,28),(45,55),(46,33),(46,35),(47,31),(47,36),(47,68),(48,31),(48,35),(48,70),(48,81),(49,10),(49,55),(49,56),(50,45),(50,49),(51,42),(51,43),(52,21),(52,25),(52,71),(53,9),(53,26),(53,36),(53,81),(54,42),(54,44),(55,40),(55,46),(55,48),(56,47),(56,48),(56,53),(56,61),(57,21),(57,22),(57,24),(57,69),(58,80),(58,84),(59,24),(59,71),(59,73),(59,86),(60,25),(60,69),(60,73),(60,79),(61,26),(61,68),(61,70),(62,72),(62,79),(63,22),(63,79),(63,86),(64,23),(64,86),(65,78),(65,80),(66,85),(67,80),(67,85),(68,64),(68,74),(69,66),(69,76),(69,77),(70,62),(70,63),(70,74),(71,65),(71,67),(71,75),(72,82),(73,75),(73,77),(73,82),(74,72),(74,86),(75,78),(75,85),(76,84),(77,84),(77,85),(78,83),(79,76),(79,82),(80,83),(81,52),(81,57),(81,59),(81,60),(81,63),(82,78),(82,84),(84,83),(85,83),(86,58),(86,65),(86,82)],87)
[[1,2,5],[3,4,6]]=>([(0,1),(1,8),(1,9),(1,10),(2,39),(3,44),(4,5),(4,41),(5,13),(5,29),(5,45),(6,30),(6,31),(7,22),(7,42),(8,33),(8,43),(9,32),(9,33),(10,12),(10,32),(10,43),(11,23),(11,24),(12,11),(12,34),(12,36),(13,16),(13,40),(14,47),(14,56),(15,53),(16,54),(17,49),(18,46),(19,52),(20,46),(20,49),(21,50),(21,51),(22,3),(22,58),(23,25),(24,37),(25,15),(26,15),(26,48),(27,30),(27,47),(27,50),(28,14),(28,53),(28,58),(29,16),(29,48),(30,19),(30,55),(31,17),(31,55),(32,4),(32,36),(33,2),(33,35),(34,23),(34,38),(35,38),(35,39),(36,24),(36,41),(37,22),(37,28),(38,25),(38,26),(39,26),(39,29),(40,14),(40,27),(40,54),(41,7),(41,37),(41,45),(42,6),(42,21),(42,27),(42,58),(43,34),(43,35),(44,17),(44,18),(44,20),(45,28),(45,40),(45,42),(45,48),(46,57),(47,20),(47,55),(47,59),(48,21),(48,53),(48,54),(49,57),(50,19),(50,59),(51,18),(51,59),(52,57),(53,51),(53,56),(54,50),(54,56),(55,49),(55,52),(56,59),(58,31),(58,44),(58,47),(58,51),(59,46),(59,52)],60)
[[1,2,5],[3,4],[6]]=>([(0,5),(0,6),(1,4),(1,38),(2,40),(3,8),(3,36),(4,7),(4,33),(5,24),(6,1),(6,11),(6,24),(7,29),(7,32),(8,13),(8,32),(8,41),(9,30),(9,31),(10,22),(10,39),(11,12),(11,37),(11,38),(12,23),(12,25),(13,16),(13,35),(14,43),(14,52),(15,49),(16,50),(17,45),(18,42),(19,48),(20,42),(20,45),(21,46),(21,47),(22,2),(22,54),(23,26),(24,3),(24,37),(25,34),(26,15),(27,30),(27,43),(27,46),(28,14),(28,49),(28,54),(29,15),(29,44),(30,19),(30,51),(31,17),(31,51),(32,16),(32,44),(33,26),(33,29),(34,22),(34,28),(35,14),(35,27),(35,50),(36,10),(36,34),(36,41),(37,25),(37,36),(38,23),(38,33),(39,9),(39,21),(39,27),(39,54),(40,17),(40,18),(40,20),(41,28),(41,35),(41,39),(41,44),(42,53),(43,20),(43,51),(43,55),(44,21),(44,49),(44,50),(45,53),(46,19),(46,55),(47,18),(47,55),(48,53),(49,47),(49,52),(50,46),(50,52),(51,45),(51,48),(52,55),(54,31),(54,40),(54,43),(54,47),(55,42),(55,48)],56)
[[1,2,4],[3,5,6]]=>([(0,1),(1,7),(1,8),(1,9),(2,58),(3,15),(3,45),(4,63),(5,47),(5,59),(6,48),(6,49),(7,11),(7,60),(7,64),(8,50),(8,60),(9,10),(9,50),(9,64),(10,4),(10,34),(10,65),(11,33),(11,53),(12,21),(12,38),(12,39),(13,22),(13,41),(13,42),(14,40),(14,43),(14,44),(15,13),(15,31),(15,51),(15,52),(16,69),(16,70),(17,70),(17,93),(18,71),(18,77),(18,78),(19,68),(19,72),(20,67),(21,66),(21,76),(22,68),(22,73),(23,77),(23,79),(24,75),(25,86),(26,78),(26,80),(27,83),(28,82),(29,21),(29,69),(29,93),(30,23),(30,74),(31,22),(31,67),(32,48),(32,75),(33,47),(33,92),(34,45),(35,25),(35,72),(36,19),(36,91),(37,16),(37,88),(37,89),(38,54),(38,66),(39,46),(39,76),(40,51),(40,90),(41,32),(41,73),(42,57),(42,68),(43,36),(43,89),(44,12),(44,29),(44,89),(44,90),(45,2),(45,52),(46,26),(46,84),(47,55),(48,28),(48,71),(49,27),(49,71),(50,3),(50,34),(51,42),(51,62),(52,41),(52,58),(52,67),(53,37),(53,43),(53,92),(54,18),(54,49),(54,74),(55,19),(55,35),(56,17),(56,20),(56,88),(56,90),(57,18),(57,23),(57,85),(58,6),(58,24),(58,32),(59,20),(59,31),(60,5),(60,33),(60,61),(61,40),(61,56),(61,59),(61,92),(62,30),(62,54),(62,57),(63,16),(63,17),(63,29),(64,14),(64,53),(64,61),(64,65),(65,37),(65,44),(65,56),(65,63),(66,74),(67,24),(67,73),(68,85),(69,76),(69,87),(70,25),(70,87),(71,82),(71,83),(72,26),(72,85),(72,86),(73,75),(74,27),(74,77),(75,28),(76,84),(77,83),(77,94),(78,82),(78,94),(79,94),(80,94),(82,81),(83,81),(84,80),(85,78),(85,79),(86,79),(86,80),(87,84),(87,86),(88,35),(88,70),(88,91),(89,39),(89,69),(89,91),(90,38),(90,62),(90,93),(91,46),(91,72),(91,87),(92,36),(92,55),(92,88),(93,30),(93,66),(94,81)],95)
[[1,2,6],[3,4],[5]]=>([(0,9),(0,10),(1,2),(2,6),(2,15),(3,45),(4,8),(4,37),(5,17),(5,38),(6,7),(6,46),(7,40),(8,12),(8,28),(9,1),(9,36),(10,4),(10,14),(10,36),(11,19),(11,48),(12,18),(12,42),(13,31),(13,32),(14,33),(14,37),(15,46),(15,47),(16,20),(16,30),(16,35),(17,16),(17,39),(17,42),(17,47),(18,52),(19,53),(20,51),(20,59),(21,56),(21,57),(22,55),(22,58),(23,55),(23,56),(24,50),(24,57),(24,58),(25,62),(26,61),(27,54),(28,18),(29,43),(29,51),(30,44),(30,51),(31,26),(31,50),(32,25),(32,50),(33,38),(34,32),(34,54),(35,34),(35,59),(36,5),(36,33),(37,28),(38,3),(38,39),(39,35),(39,45),(39,52),(40,19),(40,41),(41,22),(41,23),(41,53),(42,20),(42,29),(42,52),(43,21),(43,23),(43,60),(44,22),(44,24),(44,60),(45,13),(45,27),(45,34),(46,11),(46,40),(46,49),(47,29),(47,30),(47,49),(48,21),(48,24),(48,31),(48,53),(49,41),(49,43),(49,44),(49,48),(50,61),(50,62),(51,60),(52,27),(52,59),(53,26),(53,56),(53,58),(54,25),(55,64),(56,64),(57,62),(57,64),(58,61),(58,64),(59,54),(60,55),(60,57),(61,63),(62,63),(64,63)],65)
[[1,2],[3,4],[5],[6]]=>([(0,1),(1,4),(1,5),(2,17),(3,15),(4,16),(5,6),(5,16),(6,7),(6,8),(6,18),(7,10),(7,13),(8,10),(8,14),(9,20),(10,19),(12,15),(12,20),(13,12),(13,19),(14,9),(14,19),(15,11),(16,2),(16,18),(17,3),(17,9),(17,12),(18,13),(18,14),(18,17),(19,20),(20,11)],21)
[[1,4,5,6],[2],[3]]=>([(0,1),(1,4),(1,5),(2,34),(3,33),(4,7),(4,35),(5,8),(5,35),(6,9),(6,37),(7,6),(7,36),(8,32),(9,31),(10,25),(10,27),(11,15),(11,29),(12,19),(12,26),(13,38),(14,41),(15,39),(16,41),(17,40),(18,2),(18,47),(19,3),(19,45),(20,13),(20,46),(21,17),(21,47),(22,20),(22,45),(23,28),(23,38),(24,14),(24,43),(25,18),(25,44),(26,10),(26,30),(26,45),(27,11),(27,28),(27,44),(28,15),(28,42),(29,24),(29,39),(30,23),(30,27),(30,46),(31,13),(31,23),(32,19),(32,22),(33,18),(33,21),(34,14),(34,16),(35,12),(35,32),(35,36),(36,22),(36,26),(36,37),(37,20),(37,30),(37,31),(38,17),(38,42),(39,43),(40,16),(40,43),(42,39),(42,40),(43,41),(44,29),(44,42),(44,47),(45,25),(45,33),(45,46),(46,21),(46,38),(46,44),(47,24),(47,34),(47,40)],48)
[[1,4,5],[2,6],[3]]=>([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34)
[[1,4,6],[2,5],[3]]=>([(0,2),(0,3),(1,8),(1,16),(2,1),(3,6),(3,7),(4,36),(5,35),(6,17),(6,43),(7,10),(7,43),(8,9),(8,42),(9,11),(9,44),(10,40),(11,41),(12,28),(12,30),(13,21),(13,34),(14,20),(14,25),(15,31),(15,32),(16,29),(16,42),(17,29),(17,39),(18,45),(19,49),(20,12),(20,49),(21,47),(23,46),(24,5),(25,4),(25,49),(26,21),(26,45),(27,18),(27,48),(28,38),(29,37),(30,24),(31,28),(31,48),(32,13),(32,26),(32,48),(33,35),(33,46),(34,33),(34,47),(35,22),(36,24),(37,27),(37,31),(38,23),(38,33),(39,19),(39,20),(40,19),(40,25),(41,18),(41,26),(42,15),(42,37),(42,44),(43,14),(43,39),(43,40),(44,27),(44,32),(44,41),(45,23),(45,47),(46,22),(47,46),(48,34),(48,38),(48,45),(49,30),(49,36)],50)
[[1,4],[2,5],[3,6]]=>([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)
[[1,4],[2,5],[3],[6]]=>([(0,6),(0,7),(2,17),(3,16),(4,13),(5,14),(6,3),(6,15),(7,2),(7,15),(8,11),(8,12),(9,1),(10,18),(11,4),(11,18),(12,5),(12,18),(13,9),(14,9),(15,8),(15,16),(15,17),(16,10),(16,11),(17,10),(17,12),(18,13),(18,14)],19)
[[1,4,5],[2],[3],[6]]=>([(0,5),(0,6),(1,24),(2,22),(3,21),(4,23),(5,8),(5,9),(5,25),(6,4),(6,25),(7,14),(7,20),(8,15),(8,19),(9,15),(9,18),(11,29),(12,26),(13,3),(13,29),(14,2),(14,28),(15,1),(15,27),(16,14),(16,26),(17,10),(18,12),(18,27),(19,7),(19,16),(19,27),(20,13),(20,28),(21,10),(22,17),(23,12),(23,16),(24,11),(24,13),(25,18),(25,19),(25,23),(26,11),(26,28),(27,20),(27,24),(27,26),(28,22),(28,29),(29,17),(29,21)],30)
[[1,4,6],[2],[3],[5]]=>([(0,5),(0,6),(1,25),(2,24),(3,4),(3,28),(4,9),(4,10),(4,29),(5,26),(6,8),(6,11),(6,26),(7,19),(7,20),(8,13),(8,21),(9,14),(9,23),(10,14),(10,22),(11,3),(11,17),(11,21),(12,31),(13,32),(14,30),(16,2),(17,1),(17,32),(18,24),(18,31),(19,27),(20,16),(21,7),(21,28),(21,32),(22,18),(22,30),(23,12),(23,30),(24,15),(25,16),(26,13),(26,17),(27,12),(27,18),(28,19),(28,29),(29,22),(29,23),(29,27),(30,31),(31,15),(32,20),(32,25)],33)
[[1,4],[2],[3],[5],[6]]=>([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)
[[1,2,3],[4,5,6]]=>([(0,2),(1,11),(2,8),(2,9),(2,10),(3,54),(4,3),(4,56),(5,49),(5,51),(6,40),(6,41),(7,26),(7,50),(8,27),(8,52),(9,12),(9,52),(9,55),(10,4),(10,27),(10,55),(11,13),(11,42),(11,48),(12,29),(12,43),(13,17),(13,44),(14,35),(14,38),(14,39),(15,61),(15,85),(16,61),(16,69),(17,60),(18,64),(18,70),(19,65),(19,71),(20,64),(20,78),(21,74),(21,75),(22,65),(22,79),(23,80),(24,72),(24,73),(25,66),(25,67),(26,68),(27,1),(28,26),(28,69),(28,85),(29,41),(29,59),(30,21),(31,23),(31,63),(32,20),(32,60),(32,63),(33,16),(33,57),(33,83),(34,15),(34,58),(34,83),(35,48),(35,58),(36,24),(36,71),(36,77),(37,21),(37,70),(37,76),(38,7),(38,28),(38,57),(38,58),(39,5),(39,46),(39,57),(40,42),(41,45),(42,17),(43,33),(43,39),(43,59),(44,18),(44,37),(44,60),(45,31),(45,32),(46,32),(46,49),(46,84),(47,30),(47,37),(48,44),(48,47),(49,18),(49,20),(49,62),(50,19),(50,36),(50,68),(51,19),(51,22),(51,62),(52,6),(52,29),(52,53),(53,34),(53,35),(53,40),(53,59),(54,15),(54,16),(54,28),(55,14),(55,43),(55,53),(55,56),(56,33),(56,34),(56,38),(56,54),(57,50),(57,51),(57,69),(57,84),(58,47),(58,85),(59,45),(59,46),(59,83),(60,64),(60,76),(61,23),(61,81),(62,70),(62,71),(62,78),(62,79),(63,24),(63,76),(63,78),(63,80),(64,88),(65,87),(66,86),(67,86),(68,65),(68,77),(69,22),(69,68),(69,81),(70,25),(70,74),(70,88),(71,25),(71,72),(71,87),(72,67),(72,89),(73,89),(74,66),(74,90),(75,90),(76,75),(76,88),(77,73),(77,87),(78,72),(78,82),(78,88),(79,74),(79,82),(79,87),(80,73),(80,75),(80,82),(81,77),(81,79),(81,80),(82,89),(82,90),(83,31),(83,61),(83,84),(84,36),(84,62),(84,63),(84,81),(85,30),(87,66),(87,89),(88,67),(88,90),(89,86),(90,86)],91)
[[1,2,6],[3,5],[4]]=>([(0,9),(0,10),(1,3),(2,6),(2,8),(3,5),(4,14),(5,41),(6,26),(7,12),(7,38),(8,11),(8,15),(8,26),(9,1),(9,19),(10,2),(10,19),(11,42),(11,44),(12,33),(12,40),(13,25),(13,34),(14,17),(14,41),(14,44),(15,16),(15,39),(15,42),(16,27),(16,30),(17,21),(17,37),(18,50),(19,4),(20,47),(20,50),(21,45),(22,46),(22,47),(23,52),(24,49),(25,46),(26,7),(26,39),(27,36),(28,23),(28,51),(29,20),(29,48),(29,54),(30,35),(31,18),(31,48),(32,31),(32,45),(33,24),(33,54),(34,28),(34,46),(35,22),(35,25),(36,18),(36,20),(37,29),(37,33),(37,45),(38,13),(38,35),(38,40),(39,30),(39,38),(40,22),(40,34),(40,54),(41,21),(41,32),(42,27),(42,43),(43,29),(43,31),(43,36),(44,32),(44,37),(44,43),(45,24),(45,48),(46,51),(47,51),(47,53),(48,49),(48,50),(49,23),(49,53),(50,53),(51,52),(53,52),(54,28),(54,47),(54,49)],55)
[[1,2],[3,5],[4],[6]]=>([(0,5),(0,6),(1,21),(2,9),(2,23),(3,4),(3,22),(4,8),(4,10),(4,24),(5,20),(6,3),(6,7),(6,20),(7,18),(7,22),(8,13),(8,19),(9,15),(9,17),(10,12),(10,17),(10,19),(11,26),(12,25),(12,27),(13,25),(15,21),(15,27),(16,14),(17,11),(17,27),(18,23),(19,11),(19,25),(20,2),(20,18),(21,16),(22,24),(23,1),(23,15),(24,12),(24,13),(25,26),(26,14),(27,16),(27,26)],28)
[[1,3,6],[2,5],[4]]=>([(0,2),(0,3),(1,8),(1,12),(2,1),(3,4),(3,7),(4,30),(5,24),(6,37),(7,14),(7,30),(8,9),(8,38),(9,10),(9,39),(10,31),(11,13),(11,34),(11,35),(12,28),(12,38),(13,29),(13,36),(14,26),(14,28),(15,21),(15,22),(15,23),(16,45),(17,48),(18,43),(19,46),(20,41),(20,44),(21,42),(21,49),(22,41),(22,49),(23,41),(23,42),(24,6),(25,18),(25,48),(26,24),(27,19),(27,47),(28,33),(29,17),(29,40),(30,5),(30,26),(31,19),(31,32),(32,20),(32,23),(32,46),(33,27),(33,34),(34,29),(34,37),(34,47),(35,15),(35,32),(35,36),(35,47),(36,20),(36,22),(36,40),(37,17),(37,25),(38,11),(38,33),(38,39),(39,27),(39,31),(39,35),(40,44),(40,48),(40,49),(41,50),(42,50),(43,45),(44,43),(44,50),(46,18),(46,42),(46,44),(47,21),(47,25),(47,40),(47,46),(48,16),(48,43),(49,16),(49,50),(50,45)],51)
[[1,3],[2,5],[4,6]]=>([(0,1),(1,2),(1,3),(2,5),(2,22),(3,4),(3,22),(4,20),(5,21),(6,11),(6,13),(7,12),(7,14),(8,9),(8,18),(8,19),(9,16),(9,17),(10,26),(11,24),(12,25),(13,24),(14,25),(16,13),(16,23),(17,14),(17,23),(18,6),(18,16),(18,26),(19,7),(19,17),(19,26),(20,10),(20,18),(21,10),(21,19),(22,8),(22,20),(22,21),(23,24),(23,25),(24,15),(25,15),(26,11),(26,12),(26,23)],27)
[[1,3],[2,5],[4],[6]]=>([(0,3),(0,4),(1,21),(2,20),(3,2),(3,19),(4,1),(4,19),(5,10),(5,12),(6,11),(6,13),(7,8),(7,17),(7,18),(8,15),(8,16),(9,25),(10,23),(11,24),(12,23),(13,24),(15,12),(15,22),(16,13),(16,22),(17,5),(17,15),(17,25),(18,6),(18,16),(18,25),(19,7),(19,20),(19,21),(20,9),(20,17),(21,9),(21,18),(22,23),(22,24),(23,14),(24,14),(25,10),(25,11),(25,22)],26)
[[1,2],[3,5],[4,6]]=>([(0,1),(1,7),(1,8),(1,9),(2,21),(3,5),(3,20),(4,25),(5,22),(5,23),(6,15),(6,27),(7,28),(7,29),(8,10),(8,24),(8,28),(9,4),(9,24),(9,29),(10,16),(10,17),(11,33),(12,33),(12,34),(14,32),(15,31),(16,26),(17,20),(18,13),(19,11),(19,31),(20,2),(20,22),(21,18),(22,21),(22,34),(23,14),(23,34),(24,3),(24,17),(25,15),(25,19),(26,11),(26,12),(27,12),(27,23),(27,31),(28,16),(28,30),(29,6),(29,25),(29,30),(30,19),(30,26),(30,27),(31,14),(31,33),(32,13),(33,32),(34,18),(34,32)],35)
[[1,5,6],[2],[3],[4]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,5],[2,6],[3],[4]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,5],[2],[3],[4],[6]]=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
[[1,2],[3,6],[4],[5]]=>([(0,9),(0,10),(1,16),(1,17),(2,15),(3,14),(4,14),(4,16),(5,15),(5,17),(6,11),(7,12),(8,1),(9,6),(9,13),(10,7),(10,13),(11,3),(11,4),(12,2),(12,5),(13,8),(14,21),(15,22),(16,21),(16,23),(17,22),(17,23),(19,18),(20,18),(21,19),(22,20),(23,19),(23,20)],24)
[[1,3],[2,4],[5,6]]=>([(0,1),(1,7),(1,8),(1,9),(2,21),(3,5),(3,20),(4,25),(5,22),(5,23),(6,15),(6,27),(7,28),(7,29),(8,10),(8,24),(8,28),(9,4),(9,24),(9,29),(10,16),(10,17),(11,33),(12,33),(12,34),(14,32),(15,31),(16,26),(17,20),(18,13),(19,11),(19,31),(20,2),(20,22),(21,18),(22,21),(22,34),(23,14),(23,34),(24,3),(24,17),(25,15),(25,19),(26,11),(26,12),(27,12),(27,23),(27,31),(28,16),(28,30),(29,6),(29,25),(29,30),(30,19),(30,26),(30,27),(31,14),(31,33),(32,13),(33,32),(34,18),(34,32)],35)
[[1,3],[2,6],[4],[5]]=>([(0,5),(0,6),(1,21),(2,9),(2,23),(3,4),(3,22),(4,8),(4,10),(4,24),(5,20),(6,3),(6,7),(6,20),(7,18),(7,22),(8,13),(8,19),(9,15),(9,17),(10,12),(10,17),(10,19),(11,26),(12,25),(12,27),(13,25),(15,21),(15,27),(16,14),(17,11),(17,27),(18,23),(19,11),(19,25),(20,2),(20,18),(21,16),(22,24),(23,1),(23,15),(24,12),(24,13),(25,26),(26,14),(27,16),(27,26)],28)
[[1,2],[3,4],[5,6]]=>([(0,2),(1,10),(2,5),(2,8),(2,9),(3,25),(4,24),(5,26),(5,27),(6,17),(6,28),(7,18),(7,29),(8,4),(8,19),(8,26),(9,3),(9,19),(9,27),(10,20),(10,21),(11,36),(12,37),(13,33),(13,34),(14,32),(14,35),(15,32),(15,33),(16,31),(16,34),(16,35),(17,39),(18,40),(19,1),(20,11),(20,31),(21,12),(21,31),(22,13),(22,15),(22,39),(23,14),(23,15),(23,40),(24,17),(24,22),(25,18),(25,23),(26,6),(26,24),(26,30),(27,7),(27,25),(27,30),(28,14),(28,16),(28,20),(28,39),(29,13),(29,16),(29,21),(29,40),(30,22),(30,23),(30,28),(30,29),(31,36),(31,37),(32,41),(33,41),(34,36),(34,41),(35,37),(35,41),(36,38),(37,38),(39,11),(39,32),(39,34),(40,12),(40,33),(40,35),(41,38)],42)
[[1,4],[2,6],[3],[5]]=>([(0,1),(1,4),(1,5),(2,17),(3,15),(4,16),(5,6),(5,16),(6,7),(6,8),(6,18),(7,10),(7,13),(8,10),(8,14),(9,20),(10,19),(12,15),(12,20),(13,12),(13,19),(14,9),(14,19),(15,11),(16,2),(16,18),(17,3),(17,9),(17,12),(18,13),(18,14),(18,17),(19,20),(20,11)],21)
[[1,6],[2],[3],[4],[5]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1],[2],[3],[4],[5],[6]]=>([],1)
[[1,1,1,1,1,1,2]]=>([(0,1)],2)
[[1,1,1,1,1,2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2,2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,2,2,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,2,2,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,2,2,2]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,1,1,1],[2]]=>([],1)
[[1,1,1,1,1,2],[2]]=>([(0,1)],2)
[[1,1,1,1,2,2],[2]]=>([(0,2),(2,1)],3)
[[1,1,1,2,2,2],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2,2,2],[2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,2,2],[2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,1],[2,2]]=>([],1)
[[1,1,1,1,2],[2,2]]=>([(0,1)],2)
[[1,1,1,2,2],[2,2]]=>([(0,2),(2,1)],3)
[[1,1,2,2,2],[2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1],[2,2,2]]=>([],1)
[[1,1,1,2],[2,2,2]]=>([(0,1)],2)
[[1,1,1,1,1,1,3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,2,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,1,1,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,1,2,2,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,2,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,2,2,2,3]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,1,2,2,3,3]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,1,2,3,3,3]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,1,3,3,3,3]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,2,2,2,2,3]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,1,2,2,2,3,3]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,1,2,2,3,3,3]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,1,2,3,3,3,3]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,1,3,3,3,3,3]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,2,2,2,2,2,3]]=>([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13)
[[1,2,2,2,2,3,3]]=>([(0,1),(1,3),(1,4),(2,12),(3,10),(4,6),(4,10),(5,14),(6,7),(6,15),(7,8),(7,17),(8,5),(8,16),(10,2),(10,15),(11,13),(12,11),(13,9),(14,9),(15,12),(15,17),(16,13),(16,14),(17,11),(17,16)],18)
[[1,2,2,2,3,3,3]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,16),(5,6),(5,16),(6,9),(6,17),(7,11),(8,7),(8,18),(9,8),(9,20),(11,12),(12,10),(13,10),(14,13),(15,3),(15,19),(16,2),(16,17),(17,15),(17,20),(18,11),(18,21),(19,14),(19,21),(20,18),(20,19),(21,12),(21,13)],22)
[[1,2,2,3,3,3,3]]=>([(0,1),(1,5),(1,6),(2,17),(3,15),(4,16),(5,18),(6,8),(6,18),(7,13),(8,10),(8,19),(9,7),(9,20),(10,9),(10,23),(12,14),(13,12),(14,11),(15,11),(16,3),(16,21),(17,4),(17,22),(18,2),(18,19),(19,17),(19,23),(20,13),(20,24),(21,14),(21,15),(22,16),(22,24),(23,20),(23,22),(24,12),(24,21)],25)
[[1,2,3,3,3,3,3]]=>([(0,1),(1,6),(1,7),(2,19),(3,17),(4,18),(5,12),(6,20),(7,9),(7,20),(8,15),(9,11),(9,21),(10,8),(10,22),(11,10),(11,25),(13,14),(14,16),(15,13),(16,12),(17,5),(17,16),(18,3),(18,23),(19,4),(19,24),(20,2),(20,21),(21,19),(21,25),(22,15),(22,26),(23,14),(23,17),(24,18),(24,26),(25,22),(25,24),(26,13),(26,23)],27)
[[1,3,3,3,3,3,3]]=>([(0,2),(2,6),(2,7),(3,20),(4,18),(5,19),(6,21),(7,10),(7,21),(8,13),(9,16),(10,12),(10,22),(11,9),(11,23),(12,11),(12,26),(13,1),(14,15),(15,17),(16,14),(17,13),(18,8),(18,17),(19,4),(19,24),(20,5),(20,25),(21,3),(21,22),(22,20),(22,26),(23,16),(23,27),(24,15),(24,18),(25,19),(25,27),(26,23),(26,25),(27,14),(27,24)],28)
[[2,2,2,2,2,2,3]]=>([(0,8),(1,9),(2,10),(3,6),(3,9),(4,5),(4,12),(5,7),(5,11),(6,4),(6,14),(7,2),(7,13),(8,1),(8,3),(9,14),(11,13),(12,11),(13,10),(14,12)],15)
[[2,2,2,2,2,3,3]]=>([(0,1),(1,3),(1,4),(2,14),(3,11),(4,6),(4,11),(5,16),(6,8),(6,17),(7,9),(7,19),(8,7),(8,20),(9,5),(9,18),(11,2),(11,17),(12,13),(13,15),(14,12),(15,10),(16,10),(17,14),(17,20),(18,15),(18,16),(19,13),(19,18),(20,12),(20,19)],21)
[[2,2,2,2,3,3,3]]=>([(0,1),(1,4),(1,5),(2,15),(3,14),(4,13),(5,7),(5,13),(6,18),(7,9),(7,22),(8,10),(8,24),(9,8),(9,25),(10,6),(10,23),(12,16),(13,2),(13,22),(14,12),(15,3),(15,19),(16,11),(17,11),(18,17),(19,14),(19,21),(20,16),(20,17),(21,12),(21,20),(22,15),(22,25),(23,18),(23,20),(24,21),(24,23),(25,19),(25,24)],26)
[[2,2,2,3,3,3,3]]=>([(0,1),(1,5),(1,6),(2,19),(3,17),(4,18),(5,20),(6,7),(6,20),(7,10),(7,24),(8,11),(8,29),(9,8),(9,28),(10,9),(10,27),(11,13),(13,14),(14,15),(15,12),(16,12),(17,16),(18,3),(18,25),(19,4),(19,26),(20,2),(20,24),(21,22),(21,25),(22,14),(22,23),(23,15),(23,16),(24,19),(24,27),(25,17),(25,23),(26,18),(26,21),(27,26),(27,28),(28,21),(28,29),(29,13),(29,22)],30)
[[2,2,3,3,3,3,3]]=>([(0,1),(1,6),(1,7),(2,21),(3,18),(4,19),(5,20),(6,22),(7,8),(7,22),(8,12),(8,25),(9,14),(10,11),(10,30),(11,9),(11,31),(12,10),(12,29),(14,16),(15,17),(16,15),(17,13),(18,13),(19,3),(19,26),(20,4),(20,28),(21,5),(21,27),(22,2),(22,25),(23,24),(23,28),(24,16),(24,32),(25,21),(25,29),(26,17),(26,18),(27,20),(27,23),(28,19),(28,32),(29,27),(29,30),(30,23),(30,31),(31,14),(31,24),(32,15),(32,26)],33)
[[2,3,3,3,3,3,3]]=>([(0,1),(1,7),(1,8),(2,23),(3,20),(4,22),(5,21),(6,14),(7,24),(8,9),(8,24),(9,11),(9,25),(10,15),(11,13),(11,31),(12,10),(12,29),(13,12),(13,30),(15,16),(16,17),(17,18),(18,19),(19,14),(20,6),(20,19),(21,4),(21,28),(22,3),(22,26),(23,5),(23,27),(24,2),(24,25),(25,23),(25,31),(26,18),(26,20),(27,21),(27,34),(28,22),(28,33),(29,15),(29,32),(30,29),(30,34),(31,27),(31,30),(32,16),(32,33),(33,17),(33,26),(34,28),(34,32)],35)
[[3,3,3,3,3,3,3]]=>([(0,2),(2,7),(2,8),(3,24),(4,21),(5,23),(6,22),(7,25),(8,10),(8,25),(9,15),(10,12),(10,26),(11,16),(12,14),(12,32),(13,11),(13,30),(14,13),(14,31),(15,1),(16,17),(17,18),(18,19),(19,20),(20,15),(21,9),(21,20),(22,5),(22,29),(23,4),(23,27),(24,6),(24,28),(25,3),(25,26),(26,24),(26,32),(27,19),(27,21),(28,22),(28,35),(29,23),(29,34),(30,16),(30,33),(31,30),(31,35),(32,28),(32,31),(33,17),(33,34),(34,18),(34,27),(35,29),(35,33)],36)
[[1,1,1,1,1,1],[3]]=>([(0,1)],2)
[[1,1,1,1,1,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,3],[2]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2,2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2,3],[2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,1,2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,3,3],[2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,1,3,3],[3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,1,2,2,2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,2,3],[2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,2,2,3],[3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,1,1,2,3,3],[2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,2,3,3],[3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1,1,3,3,3],[2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,3,3,3],[3]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,1,2,2,2,2],[3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,2,3],[2]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,1,2,2,2,3],[3]]=>([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12)
[[1,1,2,2,3,3],[2]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,1,2,2,3,3],[3]]=>([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18)
[[1,1,2,3,3,3],[2]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,1,2,3,3,3],[3]]=>([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24)
[[1,1,3,3,3,3],[2]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,3,3,3,3],[3]]=>([(0,9),(2,15),(3,14),(4,11),(5,13),(6,7),(6,14),(7,5),(7,10),(8,1),(9,3),(9,6),(10,13),(10,15),(11,8),(12,11),(13,12),(14,2),(14,10),(15,4),(15,12)],16)
[[1,2,2,2,2,2],[3]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,2,2,3],[2]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)
[[1,2,2,2,2,3],[3]]=>([(0,8),(0,9),(1,10),(2,11),(3,6),(3,10),(4,3),(5,1),(6,7),(6,13),(7,2),(7,12),(8,4),(9,5),(10,13),(12,11),(13,12)],14)
[[1,2,2,2,3,3],[2]]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)
[[1,2,2,2,3,3],[3]]=>([(0,11),(0,12),(1,13),(2,20),(3,14),(4,15),(5,9),(5,13),(6,5),(7,4),(8,1),(8,20),(9,10),(9,17),(10,3),(10,16),(11,6),(12,2),(12,8),(13,17),(14,19),(15,18),(16,14),(16,18),(17,15),(17,16),(18,19),(20,7)],21)
[[1,2,2,3,3,3],[2]]=>([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18)
[[1,2,2,3,3,3],[3]]=>([(0,14),(0,15),(1,17),(2,16),(3,19),(4,20),(5,18),(6,12),(6,17),(7,6),(8,2),(8,26),(9,1),(9,26),(10,5),(11,3),(11,27),(12,13),(12,22),(13,4),(13,21),(14,7),(15,8),(15,9),(16,27),(17,22),(18,24),(19,25),(20,23),(21,20),(21,25),(22,19),(22,21),(23,24),(25,18),(25,23),(26,11),(26,16),(27,10)],28)
[[1,2,3,3,3,3],[2]]=>([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20)
[[1,2,3,3,3,3],[3]]=>([(0,17),(0,18),(1,19),(2,25),(3,24),(4,23),(5,22),(6,27),(7,15),(7,19),(8,7),(9,11),(9,32),(10,1),(10,32),(11,6),(11,20),(12,2),(12,34),(13,3),(14,4),(14,33),(15,16),(15,28),(16,5),(16,26),(17,8),(18,9),(18,10),(19,28),(20,27),(20,33),(21,34),(22,29),(23,31),(25,30),(26,22),(26,31),(27,21),(28,23),(28,26),(29,30),(30,24),(31,25),(31,29),(32,14),(32,20),(33,12),(33,21),(34,13)],35)
[[1,3,3,3,3,3],[2]]=>([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21)
[[1,3,3,3,3,3],[3]]=>([(0,11),(1,21),(3,20),(4,19),(5,13),(6,15),(7,8),(7,19),(8,9),(8,12),(9,5),(9,17),(10,2),(11,4),(11,7),(12,17),(12,20),(13,18),(14,18),(14,21),(15,10),(16,15),(17,13),(17,14),(18,16),(19,3),(19,12),(20,1),(20,14),(21,6),(21,16)],22)
[[2,2,2,2,2,2],[3]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[2,2,2,2,2,3],[3]]=>([(0,9),(0,10),(1,11),(2,12),(3,6),(3,11),(4,3),(5,1),(6,7),(6,15),(7,8),(7,13),(8,2),(8,14),(9,4),(10,5),(11,15),(13,14),(14,12),(15,13)],16)
[[2,2,2,2,3,3],[3]]=>([(0,12),(0,13),(1,14),(2,23),(3,16),(4,15),(5,9),(5,14),(6,5),(7,4),(8,1),(8,23),(9,10),(9,19),(10,11),(10,17),(11,3),(11,18),(12,6),(13,2),(13,8),(14,19),(15,20),(16,21),(17,18),(17,20),(18,16),(18,22),(19,15),(19,17),(20,22),(22,21),(23,7)],24)
[[2,2,2,3,3,3],[3]]=>([(0,15),(0,16),(1,18),(2,17),(3,19),(4,21),(5,20),(6,12),(6,18),(7,6),(8,2),(8,30),(9,1),(9,30),(10,5),(11,3),(11,31),(12,13),(12,24),(13,14),(13,22),(14,4),(14,23),(15,7),(16,8),(16,9),(17,31),(18,24),(19,29),(20,26),(21,27),(22,23),(22,29),(23,21),(23,25),(24,19),(24,22),(25,26),(25,27),(26,28),(27,28),(29,20),(29,25),(30,11),(30,17),(31,10)],32)
[[2,2,3,3,3,3],[3]]=>([(0,3),(0,4),(1,10),(2,5),(3,8),(3,9),(4,1),(5,27),(6,15),(6,25),(7,14),(7,21),(8,11),(8,24),(9,18),(9,24),(10,19),(10,29),(11,29),(12,30),(13,31),(14,28),(15,32),(16,17),(16,38),(17,13),(17,39),(18,12),(18,37),(19,16),(19,36),(21,2),(22,21),(23,26),(24,6),(24,37),(25,7),(25,22),(26,20),(27,20),(28,33),(29,36),(30,22),(31,23),(32,35),(33,26),(33,27),(34,23),(34,33),(35,28),(35,34),(36,32),(36,38),(37,25),(37,30),(38,35),(38,39),(39,31),(39,34)],40)
[[2,3,3,3,3,3],[3]]=>([(0,3),(0,4),(1,11),(2,5),(3,9),(3,10),(4,1),(5,23),(6,15),(6,31),(7,16),(7,30),(8,17),(8,24),(9,14),(9,29),(10,18),(10,29),(11,19),(11,35),(12,37),(13,36),(14,35),(15,38),(16,33),(17,34),(18,21),(18,43),(19,20),(19,44),(20,22),(20,47),(21,12),(21,46),(22,13),(22,45),(24,2),(25,32),(26,24),(27,25),(28,26),(29,6),(29,43),(30,8),(30,26),(31,7),(31,41),(32,23),(33,39),(34,32),(35,44),(36,27),(37,28),(38,42),(39,25),(39,34),(40,27),(40,39),(41,28),(41,30),(42,33),(42,40),(43,31),(43,46),(44,38),(44,47),(45,36),(45,40),(46,37),(46,41),(47,42),(47,45)],48)
[[1,1,1,1,1],[2,3]]=>([(0,1)],2)
[[1,1,1,1,1],[3,3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2],[2,3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,3],[2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2],[3,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,1,3],[2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,3],[3,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,2],[2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,3],[2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,2,2],[3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,2,3],[2,3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,3,3],[2,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1,2,3],[3,3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,1,1,3,3],[2,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,1,3,3],[3,3]]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[[1,1,2,2,2],[2,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,3],[2,2]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,2,2],[3,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,1,2,2,3],[2,3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,1,2,3,3],[2,2]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,2,3],[3,3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1,2,3,3],[2,3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1,3,3,3],[2,2]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,2,3,3],[3,3]]=>([(0,10),(0,11),(1,12),(2,16),(3,15),(4,13),(5,3),(5,12),(6,5),(7,9),(8,1),(8,16),(9,4),(9,14),(10,6),(11,2),(11,8),(12,15),(14,13),(15,14),(16,7)],17)
[[1,1,3,3,3],[2,3]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[1,1,3,3,3],[3,3]]=>([(0,8),(1,10),(2,11),(4,9),(5,3),(6,4),(6,11),(7,5),(8,2),(8,6),(9,10),(10,7),(11,1),(11,9)],12)
[[1,2,2,2,2],[2,3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,2],[3,3]]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[[1,2,2,2,3],[2,3]]=>([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12)
[[1,2,2,2,3],[3,3]]=>([(0,10),(0,11),(1,12),(2,16),(3,15),(4,13),(5,3),(5,12),(6,5),(7,9),(8,1),(8,16),(9,4),(9,14),(10,6),(11,2),(11,8),(12,15),(14,13),(15,14),(16,7)],17)
[[1,2,2,3,3],[2,3]]=>([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18)
[[1,2,2,3,3],[3,3]]=>([(0,15),(0,16),(1,26),(2,25),(3,23),(4,22),(5,18),(6,19),(7,13),(8,14),(9,11),(9,25),(10,12),(10,26),(11,3),(11,17),(12,4),(12,17),(13,5),(13,20),(14,6),(14,21),(15,2),(15,9),(16,1),(16,10),(17,22),(17,23),(18,24),(19,24),(20,18),(21,19),(22,20),(23,21),(25,7),(26,8)],27)
[[1,2,3,3,3],[2,3]]=>([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24)
[[1,2,3,3,3],[3,3]]=>([(0,14),(0,15),(1,17),(2,16),(3,20),(4,19),(5,18),(6,12),(6,17),(7,6),(8,13),(9,2),(9,24),(10,1),(10,24),(11,3),(11,25),(12,4),(12,22),(13,5),(13,21),(14,7),(15,9),(15,10),(16,25),(17,22),(19,23),(20,23),(21,18),(22,19),(22,20),(23,21),(24,11),(24,16),(25,8)],26)
[[2,2,2,2,2],[3,3]]=>([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9)
[[2,2,2,2,3],[3,3]]=>([(0,11),(0,12),(1,13),(2,18),(3,17),(4,14),(5,3),(5,13),(6,5),(7,9),(8,1),(8,18),(9,10),(9,16),(10,4),(10,15),(11,6),(12,2),(12,8),(13,17),(15,14),(16,15),(17,16),(18,7)],19)
[[2,2,2,3,3],[3,3]]=>([(0,16),(0,17),(1,28),(2,29),(3,24),(4,25),(5,20),(6,19),(7,13),(8,14),(9,12),(9,28),(10,11),(10,29),(11,3),(11,18),(12,4),(12,18),(13,15),(13,21),(14,5),(14,22),(15,6),(15,23),(16,1),(16,9),(17,2),(17,10),(18,24),(18,25),(19,27),(20,26),(21,23),(22,20),(23,19),(23,26),(24,21),(25,22),(26,27),(28,7),(29,8)],30)
[[2,2,3,3,3],[3,3]]=>([(0,21),(0,22),(1,23),(2,39),(3,33),(4,27),(5,28),(6,25),(7,26),(8,20),(8,24),(9,16),(10,17),(11,18),(11,41),(12,8),(12,39),(13,15),(13,40),(14,1),(14,40),(15,3),(15,24),(16,19),(16,29),(17,4),(17,31),(18,6),(18,32),(19,5),(19,30),(20,7),(20,34),(21,13),(21,14),(22,2),(22,12),(23,41),(24,33),(24,34),(25,35),(26,38),(27,36),(28,37),(29,30),(30,28),(30,35),(31,27),(32,25),(32,38),(33,29),(34,26),(34,32),(35,37),(37,36),(38,31),(39,9),(40,11),(40,23),(41,10)],42)
[[1,1,1,1,1],[2],[3]]=>([],1)
[[1,1,1,1,2],[2],[3]]=>([(0,1)],2)
[[1,1,1,1,3],[2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,2,2],[2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,2,3],[2],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,3,3],[2],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2,2,2],[2],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2,3],[2],[3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,2,3,3],[2],[3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,3,3,3],[2],[3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2,2,2,2],[2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,3],[2],[3]]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
[[1,2,2,3,3],[2],[3]]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)
[[1,2,3,3,3],[2],[3]]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)
[[1,3,3,3,3],[2],[3]]=>([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)
[[1,1,1,1],[2,2,3]]=>([(0,1)],2)
[[1,1,1,1],[2,3,3]]=>([(0,2),(2,1)],3)
[[1,1,1,1],[3,3,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2],[2,2,3]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[2,2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,2],[2,3,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,1,3],[2,2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2],[3,3,3]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,3],[2,3,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,3],[3,3,3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2],[2,2,3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2],[2,3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,2,3],[2,2,3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,2,2],[3,3,3]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,2,3],[2,3,3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,1,2,3],[3,3,3]]=>([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12)
[[1,2,2,2],[2,3,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,2,2,2],[3,3,3]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,2,2,3],[2,3,3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,2,2,3],[3,3,3]]=>([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18)
[[2,2,2,2],[3,3,3]]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)
[[2,2,2,3],[3,3,3]]=>([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24)
[[1,1,1,1],[2,2],[3]]=>([],1)
[[1,1,1,1],[2,3],[3]]=>([(0,1)],2)
[[1,1,1,2],[2,2],[3]]=>([(0,1)],2)
[[1,1,1,2],[2,3],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[2,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[2,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2],[2,2],[3]]=>([(0,2),(2,1)],3)
[[1,1,2,2],[2,3],[3]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,3],[2,2],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,1,2,3],[2,3],[3]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,3,3],[2,2],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,3,3],[2,3],[3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[[1,2,2,2],[2,3],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,3],[2,3],[3]]=>([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10)
[[1,2,3,3],[2,3],[3]]=>([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15)
[[1,1,1],[2,2,2],[3]]=>([],1)
[[1,1,1],[2,2,3],[3]]=>([(0,1)],2)
[[1,1,1],[2,3,3],[3]]=>([(0,2),(2,1)],3)
[[1,1,2],[2,2,3],[3]]=>([(0,2),(2,1)],3)
[[1,1,2],[2,3,3],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[[1,2,2],[2,3,3],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[[1,1,1],[2,2],[3,3]]=>([],1)
[[1,1,2],[2,2],[3,3]]=>([(0,1)],2)
[[1,1,3],[2,2],[3,3]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,1,1,2]]=>([(0,1)],2)
[[1,1,1,1,1,1,2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,2,2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,2,2,2,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,2,2,2,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,2,2,2,2,2]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[2,2,2,2,2,2,2,2]]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[[1,1,1,1,1,1,1],[2]]=>([],1)
[[1,1,1,1,1,1,2],[2]]=>([(0,1)],2)
[[1,1,1,1,1,2,2],[2]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2,2,2],[2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,2,2,2],[2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,2,2,2],[2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,2,2,2],[2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1,1],[2,2]]=>([],1)
[[1,1,1,1,1,2],[2,2]]=>([(0,1)],2)
[[1,1,1,1,2,2],[2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,2,2,2],[2,2]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2,2,2],[2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1,1],[2,2,2]]=>([],1)
[[1,1,1,1,2],[2,2,2]]=>([(0,1)],2)
[[1,1,1,2,2],[2,2,2]]=>([(0,2),(2,1)],3)
[[1,1,1,1],[2,2,2,2]]=>([],1)
[[1,1,1,1],[2,2,2],[3,3],[4]]=>([],1)
[[1,1,1,2],[2,2,2],[3,3],[4]]=>([(0,1)],2)
[[1,1,1,1],[2,2,3],[3,3],[4]]=>([(0,1)],2)
[[1,1,1,2],[2,2,3],[3,3],[4]]=>([(0,2),(2,1)],3)
[[1,1,1,3],[2,2,3],[3,3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,2],[2,2,3],[3,3],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,2,3],[2,2,3],[3,3],[4]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1],[2,2,2],[3,4],[4]]=>([(0,1)],2)
[[1,1,1,2],[2,2,2],[3,4],[4]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1],[2,2,3],[3,4],[4]]=>([(0,2),(2,1)],3)
[[1,1,1,2],[2,2,3],[3,4],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,3],[2,2,3],[3,4],[4]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,2,2],[2,2,3],[3,4],[4]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,3],[2,2,3],[3,4],[4]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,1,1],[2,2,4],[3,4],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2],[2,2,4],[3,4],[4]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,3],[2,2,4],[3,4],[4]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,4],[2,2,4],[3,4],[4]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,2,2],[2,2,4],[3,4],[4]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,2,3],[2,2,4],[3,4],[4]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,2,4],[2,2,4],[3,4],[4]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,1,1,1],[2,3,3],[3,4],[4]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2],[2,3,3],[3,4],[4]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[[1,1,1,3],[2,3,3],[3,4],[4]]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[[1,1,2,2],[2,3,3],[3,4],[4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[[1,1,2,3],[2,3,3],[3,4],[4]]=>([(0,3),(0,8),(1,10),(2,9),(3,11),(4,2),(5,4),(6,7),(7,1),(7,9),(8,5),(8,11),(9,10),(11,6)],12)
[[1,1,1,1],[2,3,4],[3,4],[4]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,2],[2,3,4],[3,4],[4]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,3],[2,3,4],[3,4],[4]]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)
[[1,1,1,4],[2,3,4],[3,4],[4]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,1,2,2],[2,3,4],[3,4],[4]]=>([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13)
[[1,1,2,3],[2,3,4],[3,4],[4]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,2,4],[2,3,4],[3,4],[4]]=>([(0,12),(0,13),(1,16),(2,15),(3,23),(4,19),(5,17),(5,20),(6,4),(7,5),(7,15),(7,16),(8,10),(9,7),(10,2),(11,1),(11,23),(12,8),(12,22),(13,14),(13,22),(14,3),(14,11),(15,17),(15,21),(16,20),(16,21),(17,24),(19,18),(20,19),(20,24),(21,24),(22,9),(23,6),(24,18)],25)
[[1,1,3,3],[2,3,4],[3,4],[4]]=>([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16)
[[1,1,3,4],[2,3,4],[3,4],[4]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,2,2,2],[2,3,3],[3,4],[4]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,2,2,3],[2,3,3],[3,4],[4]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,2,2,2],[2,3,4],[3,4],[4]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,2,2,3],[2,3,4],[3,4],[4]]=>([(0,10),(0,12),(1,16),(2,17),(3,21),(4,22),(5,14),(6,13),(6,14),(7,13),(7,15),(8,7),(8,21),(9,2),(9,18),(10,11),(11,5),(11,6),(12,3),(12,8),(13,19),(14,9),(14,19),(15,22),(16,20),(17,20),(18,16),(18,17),(19,18),(21,4),(21,15),(22,1)],23)
[[1,2,2,4],[2,3,4],[3,4],[4]]=>([(0,14),(0,15),(1,19),(2,18),(3,29),(4,30),(5,22),(6,23),(7,24),(7,25),(8,9),(9,7),(9,18),(9,19),(10,5),(11,6),(12,2),(12,29),(13,1),(13,30),(14,16),(14,28),(15,17),(15,28),(16,3),(16,12),(17,4),(17,13),(18,24),(18,27),(19,25),(19,27),(20,26),(21,26),(22,20),(23,21),(24,22),(24,31),(25,23),(25,31),(27,31),(28,8),(29,10),(30,11),(31,20),(31,21)],32)
[[1,2,3,3],[2,3,4],[3,4],[4]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,2,3,4],[2,3,4],[3,4],[4]]=>([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)
[[1,1,1,1,2,2,2],[3,3],[4]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,2,2,2,2],[3,3],[4]]=>([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)
[[1,1,1,1,2,2,3],[3,3],[4]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,1,1,2,2,2,3],[3,3],[4]]=>([(0,5),(0,11),(1,13),(2,18),(3,16),(4,14),(5,17),(6,10),(7,3),(7,13),(8,7),(9,1),(9,18),(10,4),(10,15),(11,12),(11,17),(12,2),(12,9),(13,16),(15,14),(16,15),(17,8),(18,6)],19)
[[1,1,1,2,2,3,3],[3,3],[4]]=>([(0,15),(0,16),(1,18),(2,27),(3,24),(4,25),(5,20),(6,21),(7,13),(8,14),(9,11),(9,28),(10,12),(10,27),(11,3),(11,19),(12,4),(12,19),(13,5),(13,22),(14,6),(14,23),(15,1),(15,29),(16,17),(16,29),(17,2),(17,10),(18,28),(19,24),(19,25),(20,26),(21,26),(22,20),(23,21),(24,22),(25,23),(27,7),(28,8),(29,9),(29,18)],30)
[[1,1,2,2,2,2,3],[3,3],[4]]=>([(0,5),(0,12),(1,14),(2,20),(3,18),(4,15),(5,19),(6,10),(7,3),(7,14),(8,7),(9,1),(9,20),(10,11),(10,17),(11,4),(11,16),(12,13),(12,19),(13,2),(13,9),(14,18),(16,15),(17,16),(18,17),(19,8),(20,6)],21)
[[1,1,2,2,2,3,3],[3,3],[4]]=>([(0,16),(0,17),(1,19),(2,30),(3,26),(4,27),(5,22),(6,21),(7,13),(8,14),(9,11),(9,31),(10,12),(10,30),(11,3),(11,20),(12,4),(12,20),(13,15),(13,23),(14,5),(14,24),(15,6),(15,25),(16,1),(16,32),(17,18),(17,32),(18,2),(18,10),(19,31),(20,26),(20,27),(21,29),(22,28),(23,25),(24,22),(25,21),(25,28),(26,23),(27,24),(28,29),(30,7),(31,8),(32,9),(32,19)],33)
[[1,1,1,1,2,2,2],[3,4],[4]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,1,1,2,2,2,2],[3,4],[4]]=>([(0,8),(0,9),(1,11),(2,16),(3,11),(3,16),(4,12),(5,1),(6,4),(6,14),(7,6),(7,13),(8,5),(9,10),(10,2),(10,3),(11,15),(13,14),(14,12),(15,13),(16,7),(16,15)],17)
[[1,1,1,1,2,2,3],[3,4],[4]]=>([(0,10),(0,12),(1,16),(2,17),(3,21),(4,22),(5,14),(6,13),(6,14),(7,13),(7,15),(8,7),(8,21),(9,2),(9,18),(10,11),(11,5),(11,6),(12,3),(12,8),(13,19),(14,9),(14,19),(15,22),(16,20),(17,20),(18,16),(18,17),(19,18),(21,4),(21,15),(22,1)],23)
[[1,1,1,2,2,2,3],[3,4],[4]]=>([(0,11),(0,13),(1,25),(2,24),(3,15),(4,14),(4,15),(5,14),(5,16),(6,17),(7,18),(8,5),(8,25),(9,6),(9,19),(10,9),(10,20),(11,12),(12,3),(12,4),(13,1),(13,8),(14,23),(15,10),(15,23),(16,24),(17,22),(18,21),(19,17),(19,21),(20,18),(20,19),(21,22),(23,20),(24,7),(25,2),(25,16)],26)
[[1,1,1,2,2,3],[3,3,4],[4]]=>([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,7),(4,26),(5,27),(6,17),(7,14),(7,27),(8,10),(8,25),(9,29),(10,19),(11,20),(11,24),(12,13),(12,28),(12,29),(13,16),(13,21),(14,18),(14,28),(16,30),(17,8),(18,17),(19,15),(20,25),(21,24),(21,30),(22,20),(22,30),(23,26),(24,4),(24,23),(25,19),(26,15),(27,6),(27,18),(28,16),(28,22),(29,11),(29,21),(29,22),(30,23)],31)
[[1,1,2,2,2,2,3],[3,4],[4]]=>([(0,12),(0,14),(1,15),(1,17),(2,27),(3,28),(4,16),(5,15),(5,16),(6,18),(7,19),(8,1),(8,27),(9,10),(9,21),(10,7),(10,20),(11,9),(11,22),(12,13),(13,4),(13,5),(14,2),(14,8),(15,26),(16,11),(16,26),(17,28),(18,23),(19,24),(20,19),(20,25),(21,20),(21,23),(22,18),(22,21),(23,25),(25,24),(26,22),(27,3),(27,17),(28,6)],29)
[[1,1,2,2,2,3],[3,3,4],[4]]=>([(0,2),(0,3),(1,8),(1,13),(2,1),(3,4),(3,6),(4,29),(5,18),(6,15),(6,29),(7,10),(7,28),(8,32),(9,11),(9,31),(10,20),(11,22),(12,23),(12,27),(13,14),(13,30),(13,32),(14,17),(14,24),(15,19),(15,30),(17,33),(18,7),(19,18),(20,21),(21,16),(22,16),(23,28),(24,27),(24,33),(25,23),(25,33),(26,31),(27,9),(27,26),(28,20),(29,5),(29,19),(30,17),(30,25),(31,21),(31,22),(32,12),(32,24),(32,25),(33,26)],34)
[[1,1,1,1,2,2,4],[3,4],[4]]=>([(0,14),(0,15),(1,19),(2,18),(3,29),(4,30),(5,22),(6,23),(7,24),(7,25),(8,9),(9,7),(9,18),(9,19),(10,5),(11,6),(12,2),(12,29),(13,1),(13,30),(14,16),(14,28),(15,17),(15,28),(16,3),(16,12),(17,4),(17,13),(18,24),(18,27),(19,25),(19,27),(20,26),(21,26),(22,20),(23,21),(24,22),(24,31),(25,23),(25,31),(27,31),(28,8),(29,10),(30,11),(31,20),(31,21)],32)
[[1,1,1,2,2,2,4],[3,4],[4]]=>([(0,15),(0,16),(1,19),(2,20),(3,33),(4,34),(5,24),(6,21),(7,25),(7,26),(8,9),(9,7),(9,19),(9,20),(10,14),(11,5),(12,1),(12,33),(13,2),(13,34),(14,6),(14,27),(15,17),(15,32),(16,18),(16,32),(17,3),(17,12),(18,4),(18,13),(19,25),(19,31),(20,26),(20,31),(21,29),(22,28),(23,28),(23,29),(24,22),(25,24),(25,35),(26,27),(26,35),(27,21),(27,23),(28,30),(29,30),(31,35),(32,8),(33,11),(34,10),(35,22),(35,23)],36)
[[1,1,1,2,2,4,4],[3,3],[4]]=>([(0,16),(0,17),(1,11),(2,10),(3,6),(3,7),(4,15),(4,44),(5,23),(5,43),(6,33),(7,13),(7,33),(8,31),(9,22),(9,32),(10,51),(11,12),(11,50),(12,48),(13,14),(13,52),(14,47),(15,18),(15,46),(16,3),(16,42),(17,4),(17,20),(17,42),(18,39),(18,49),(19,40),(19,41),(20,37),(20,44),(21,25),(21,38),(22,21),(22,49),(22,52),(23,19),(23,35),(23,45),(24,53),(25,57),(26,54),(27,55),(28,55),(29,54),(31,2),(32,5),(33,1),(34,24),(34,57),(35,40),(35,53),(36,27),(37,32),(38,50),(38,57),(39,43),(40,28),(40,56),(41,26),(41,56),(42,9),(42,37),(43,45),(44,8),(44,46),(45,41),(45,51),(45,53),(46,31),(46,39),(47,24),(47,35),(48,27),(48,28),(49,25),(49,34),(50,36),(50,48),(51,26),(51,29),(52,34),(52,38),(52,47),(53,29),(53,56),(54,30),(55,30),(56,54),(56,55),(57,36)],58)
[[1,1,1,2,2,4,4],[3,4],[4]]=>([(0,19),(0,20),(1,12),(2,11),(3,6),(3,7),(4,26),(4,34),(5,18),(5,52),(6,35),(7,15),(7,35),(8,16),(8,33),(9,25),(9,50),(10,13),(10,51),(11,49),(12,14),(12,59),(13,36),(14,56),(15,17),(15,60),(16,53),(17,55),(18,21),(18,54),(19,3),(19,48),(20,5),(20,23),(20,48),(21,45),(21,57),(22,30),(22,44),(23,43),(23,52),(24,42),(24,46),(25,24),(25,47),(25,58),(26,22),(26,57),(26,60),(28,64),(29,64),(30,63),(31,61),(32,65),(33,2),(34,9),(35,1),(36,33),(37,31),(37,63),(38,49),(38,65),(39,27),(40,27),(41,28),(42,38),(42,62),(43,34),(44,59),(44,63),(45,50),(46,29),(46,62),(47,46),(47,61),(48,4),(48,43),(49,40),(50,58),(51,8),(51,36),(52,10),(52,54),(53,32),(53,38),(54,45),(54,51),(55,31),(55,47),(56,28),(56,29),(57,30),(57,37),(58,42),(58,53),(58,61),(59,41),(59,56),(60,37),(60,44),(60,55),(61,32),(61,62),(62,64),(62,65),(63,41),(64,39),(65,39),(65,40)],66)
[[1,1,2,2,2,2,4],[3,4],[4]]=>([(0,16),(0,17),(1,20),(2,21),(3,37),(4,38),(5,25),(6,22),(7,27),(7,28),(8,9),(9,7),(9,20),(9,21),(10,14),(11,5),(12,2),(12,37),(13,1),(13,38),(14,15),(14,29),(15,6),(15,26),(16,18),(16,36),(17,19),(17,36),(18,3),(18,12),(19,4),(19,13),(20,28),(20,35),(21,27),(21,35),(22,32),(23,31),(24,30),(24,31),(25,23),(26,22),(26,30),(27,25),(27,39),(28,29),(28,39),(29,24),(29,26),(30,32),(30,33),(31,33),(32,34),(33,34),(35,39),(36,8),(37,11),(38,10),(39,23),(39,24)],40)
[[1,1,2,2,2,4,4],[3,3],[4]]=>([(0,17),(0,18),(1,10),(2,11),(3,6),(3,7),(4,24),(4,33),(5,16),(5,48),(6,34),(7,14),(7,34),(8,32),(9,23),(9,47),(10,15),(10,55),(11,54),(12,51),(13,50),(14,13),(14,57),(15,12),(15,56),(16,19),(16,49),(17,3),(17,46),(18,5),(18,21),(18,46),(19,44),(19,52),(20,26),(20,43),(21,42),(21,48),(22,40),(22,41),(23,22),(23,45),(23,53),(24,20),(24,52),(24,57),(25,62),(26,61),(27,58),(28,59),(29,59),(31,62),(32,2),(33,9),(34,1),(35,37),(36,30),(37,28),(37,63),(38,29),(38,63),(39,27),(39,61),(40,38),(40,60),(41,25),(41,60),(42,33),(43,55),(43,61),(44,47),(45,40),(45,58),(46,4),(46,42),(47,53),(48,8),(48,49),(49,32),(49,44),(50,27),(50,45),(51,28),(51,29),(52,26),(52,39),(53,41),(53,54),(53,58),(54,25),(54,31),(55,35),(55,56),(56,37),(56,38),(56,51),(57,39),(57,43),(57,50),(58,31),(58,60),(59,30),(60,62),(60,63),(61,35),(62,36),(63,36),(63,59)],64)
[[1,1,2,2,2,4,4],[3,4],[4]]=>([(0,20),(0,21),(1,11),(2,12),(3,6),(3,7),(4,27),(4,54),(5,19),(5,56),(6,36),(7,17),(7,36),(8,26),(8,35),(9,13),(9,55),(10,14),(10,34),(11,18),(11,64),(12,53),(13,39),(14,59),(15,61),(16,60),(17,16),(17,66),(18,15),(18,65),(19,22),(19,58),(20,3),(20,52),(21,5),(21,24),(21,52),(22,47),(22,62),(23,50),(23,51),(24,45),(24,56),(25,32),(25,46),(26,25),(26,62),(26,66),(27,23),(27,37),(27,57),(29,72),(30,72),(31,67),(32,70),(33,71),(34,2),(35,4),(36,1),(37,50),(37,67),(38,48),(39,34),(40,42),(41,53),(41,71),(42,28),(43,28),(44,31),(44,70),(45,35),(46,64),(46,70),(47,54),(48,29),(48,68),(49,30),(49,68),(50,49),(50,69),(51,41),(51,69),(52,8),(52,45),(53,40),(54,57),(55,10),(55,39),(56,9),(56,58),(57,51),(57,59),(57,67),(58,47),(58,55),(59,33),(59,41),(60,31),(60,37),(61,29),(61,30),(62,32),(62,44),(63,42),(63,43),(64,38),(64,65),(65,48),(65,49),(65,61),(66,44),(66,46),(66,60),(67,33),(67,69),(68,63),(68,72),(69,68),(69,71),(70,38),(71,40),(71,63),(72,43)],73)
[[1,1,1,1,2,3,3],[3,4],[4]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,1,1,2,2,3,3],[3,4],[4]]=>([(0,3),(0,4),(1,10),(1,15),(2,5),(3,1),(4,8),(4,9),(5,26),(6,13),(6,32),(7,25),(8,16),(8,33),(9,11),(9,33),(10,27),(11,31),(12,24),(13,12),(13,28),(14,19),(14,20),(15,22),(15,27),(16,22),(16,30),(18,34),(19,34),(20,7),(20,34),(21,32),(22,21),(23,17),(24,23),(25,29),(26,17),(27,6),(27,21),(28,24),(28,29),(29,23),(29,26),(30,18),(30,20),(31,18),(31,19),(32,25),(32,28),(33,14),(33,30),(33,31),(34,2)],35)
[[1,1,1,2,3,3,3],[3,4],[4]]=>([(0,3),(0,4),(1,11),(2,10),(2,18),(3,2),(4,5),(4,8),(5,15),(5,40),(6,16),(6,39),(7,33),(8,19),(8,40),(9,12),(9,24),(10,34),(11,23),(12,30),(13,29),(14,38),(15,14),(15,41),(16,13),(16,35),(17,22),(17,32),(18,27),(18,34),(19,27),(19,36),(20,42),(21,42),(22,7),(22,43),(24,1),(25,39),(26,23),(27,25),(28,26),(29,28),(30,26),(31,20),(31,43),(32,21),(32,43),(33,37),(34,6),(34,25),(35,29),(35,37),(36,22),(36,31),(37,28),(37,30),(38,20),(38,21),(39,33),(39,35),(40,17),(40,36),(40,41),(41,31),(41,32),(41,38),(42,24),(43,9),(43,42)],44)
[[1,1,2,2,2,3,3],[3,4],[4]]=>([(0,3),(0,4),(1,10),(1,16),(2,5),(3,1),(4,7),(4,8),(5,28),(6,27),(7,17),(7,37),(8,11),(8,37),(9,13),(9,36),(10,29),(11,35),(12,26),(13,14),(13,30),(14,12),(14,31),(15,20),(15,21),(16,23),(16,29),(17,23),(17,34),(19,38),(20,38),(21,6),(21,38),(22,36),(23,22),(24,18),(25,18),(26,24),(27,32),(28,25),(29,9),(29,22),(30,31),(30,32),(31,26),(31,33),(32,28),(32,33),(33,24),(33,25),(34,19),(34,21),(35,19),(35,20),(36,27),(36,30),(37,15),(37,34),(37,35),(38,2)],39)
[[1,1,2,2,3,3,3],[3,4],[4]]=>([(0,3),(0,4),(1,10),(2,11),(2,19),(3,2),(4,5),(4,7),(5,16),(5,45),(6,34),(7,20),(7,45),(8,13),(8,44),(9,12),(9,25),(10,35),(11,36),(12,31),(13,17),(13,38),(14,30),(15,43),(16,15),(16,46),(17,14),(17,39),(18,24),(18,33),(19,27),(19,36),(20,27),(20,37),(22,47),(23,47),(24,6),(24,48),(25,1),(26,44),(27,26),(28,29),(29,21),(30,28),(31,40),(32,22),(32,48),(33,23),(33,48),(34,41),(35,21),(36,8),(36,26),(37,24),(37,32),(38,39),(38,41),(39,30),(39,42),(40,29),(40,35),(41,31),(41,42),(42,28),(42,40),(43,22),(43,23),(44,34),(44,38),(45,18),(45,37),(45,46),(46,32),(46,33),(46,43),(47,25),(48,9),(48,47)],49)
[[1,1,1,1,2,3,4],[3,4],[4]]=>([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)
[[1,1,1,2,2,3,4],[3,4],[4]]=>([(0,5),(0,16),(0,17),(1,24),(2,20),(3,10),(3,21),(4,11),(4,22),(5,12),(5,13),(6,28),(6,66),(7,25),(7,65),(8,53),(9,54),(10,15),(10,55),(11,14),(11,56),(12,26),(12,67),(13,27),(13,67),(14,63),(15,64),(16,3),(16,32),(17,4),(17,32),(18,49),(18,50),(19,47),(19,48),(20,34),(20,52),(21,45),(21,55),(22,46),(22,56),(23,35),(23,36),(24,19),(24,63),(24,64),(25,37),(25,40),(26,45),(26,59),(27,46),(27,60),(28,18),(28,57),(28,58),(29,70),(30,70),(31,71),(32,1),(33,69),(34,68),(35,8),(35,69),(36,9),(36,69),(37,42),(38,66),(39,65),(40,41),(41,34),(42,51),(43,30),(44,29),(45,38),(46,39),(47,37),(47,71),(48,57),(48,71),(49,43),(50,44),(51,30),(51,68),(52,29),(52,68),(53,61),(54,41),(55,6),(55,38),(56,7),(56,39),(57,49),(57,62),(58,50),(58,61),(59,33),(59,35),(60,33),(60,36),(61,44),(61,52),(62,43),(62,51),(63,31),(63,47),(64,31),(64,48),(65,40),(65,54),(66,53),(66,58),(67,23),(67,59),(67,60),(68,70),(69,2),(71,42),(71,62)],72)
[[1,1,1,2,3,3,4],[3,4],[4]]=>([(0,4),(0,16),(0,17),(1,28),(2,9),(2,27),(3,8),(3,26),(4,12),(4,13),(5,77),(6,78),(7,53),(8,6),(8,63),(9,5),(9,62),(10,22),(10,57),(11,25),(11,72),(12,23),(12,73),(13,24),(13,73),(14,21),(14,81),(15,18),(15,37),(16,2),(16,36),(17,3),(17,36),(18,42),(18,65),(19,41),(19,66),(20,40),(20,64),(21,61),(21,79),(22,38),(22,39),(23,67),(23,74),(24,31),(24,80),(24,82),(25,29),(25,75),(25,76),(26,63),(26,80),(27,62),(27,67),(28,30),(28,77),(28,78),(29,48),(29,49),(30,50),(30,51),(31,47),(31,71),(32,88),(33,90),(34,87),(35,89),(36,1),(37,10),(38,86),(39,86),(40,83),(41,7),(41,85),(42,84),(43,38),(43,87),(44,72),(45,42),(45,90),(46,40),(46,88),(47,55),(48,54),(49,56),(50,61),(50,89),(51,75),(51,89),(52,60),(53,68),(54,43),(55,59),(56,34),(57,39),(58,32),(58,85),(59,33),(59,83),(60,34),(60,84),(61,52),(62,11),(62,44),(63,14),(63,70),(64,45),(64,83),(65,43),(65,84),(66,20),(66,46),(66,85),(67,44),(68,54),(68,65),(69,56),(69,60),(70,55),(70,81),(71,32),(71,46),(72,53),(72,76),(73,19),(73,74),(73,82),(74,41),(74,58),(75,49),(75,69),(76,48),(76,68),(77,35),(77,51),(78,35),(78,50),(79,33),(79,45),(80,47),(80,70),(81,59),(81,64),(81,79),(82,58),(82,66),(82,71),(83,90),(84,87),(85,15),(85,88),(87,86),(88,37),(89,52),(89,69),(90,57)],91)
[[1,1,1,2,3,4,4],[3,4],[4]]=>([(0,2),(0,21),(0,22),(1,9),(1,38),(2,17),(2,18),(3,71),(4,111),(5,8),(5,81),(6,73),(7,4),(7,124),(8,107),(9,7),(9,98),(10,29),(10,85),(11,34),(11,113),(12,30),(12,84),(13,35),(13,112),(14,37),(14,47),(15,36),(15,83),(16,33),(16,123),(17,31),(17,114),(18,32),(18,114),(19,26),(19,53),(20,24),(20,28),(20,99),(21,1),(21,82),(22,20),(22,25),(22,82),(23,56),(23,96),(24,103),(24,122),(25,94),(25,99),(26,55),(26,97),(27,54),(27,101),(28,39),(28,103),(28,115),(29,57),(29,95),(30,58),(30,100),(31,43),(31,122),(31,125),(32,102),(32,116),(33,91),(33,121),(34,90),(34,92),(35,41),(35,118),(35,119),(36,42),(36,93),(36,120),(37,40),(37,117),(37,124),(38,98),(38,102),(39,66),(39,117),(40,67),(40,72),(41,65),(41,110),(42,87),(42,89),(43,106),(43,108),(44,137),(45,128),(46,138),(47,15),(48,133),(49,130),(50,130),(51,129),(52,139),(53,12),(54,6),(54,127),(55,126),(56,3),(56,135),(57,134),(58,132),(59,63),(60,51),(60,127),(61,112),(62,76),(63,50),(64,55),(64,137),(65,74),(66,83),(67,91),(67,136),(68,49),(69,49),(70,113),(71,59),(72,118),(72,136),(73,105),(74,86),(75,48),(75,138),(76,48),(76,126),(77,92),(77,139),(78,79),(78,134),(79,44),(79,135),(80,45),(80,136),(81,11),(81,70),(82,14),(82,94),(83,120),(84,100),(85,5),(85,95),(86,58),(86,133),(87,77),(87,131),(88,56),(88,129),(89,46),(89,131),(90,63),(91,62),(92,69),(93,89),(93,128),(94,47),(95,81),(95,134),(96,64),(96,135),(97,86),(97,126),(98,13),(98,61),(99,10),(99,115),(100,50),(100,132),(101,23),(101,88),(101,127),(102,61),(103,16),(103,109),(104,75),(104,76),(105,74),(105,97),(106,51),(106,88),(107,52),(107,77),(108,57),(108,78),(109,78),(109,123),(110,46),(110,75),(111,45),(111,93),(112,73),(112,119),(113,59),(113,90),(114,27),(114,116),(114,125),(115,66),(115,85),(116,54),(116,60),(117,67),(117,80),(118,104),(118,110),(119,65),(119,105),(120,87),(120,107),(120,128),(121,44),(121,64),(122,108),(122,109),(123,79),(123,96),(123,121),(124,72),(124,80),(124,111),(125,60),(125,101),(125,106),(126,133),(127,19),(127,129),(128,52),(128,131),(129,53),(131,138),(131,139),(132,130),(133,132),(134,70),(135,71),(135,137),(136,62),(136,104),(137,84),(138,68),(139,68),(139,69)],140)
[[1,1,2,2,2,3,4],[3,4],[4]]=>([(0,5),(0,16),(0,17),(1,25),(2,20),(3,10),(3,21),(4,11),(4,22),(5,12),(5,13),(6,29),(6,73),(7,26),(7,72),(8,56),(9,57),(10,15),(10,58),(11,14),(11,59),(12,27),(12,74),(13,28),(13,74),(14,68),(15,69),(16,3),(16,33),(17,4),(17,33),(18,24),(18,70),(18,71),(19,52),(19,53),(20,35),(20,55),(21,50),(21,58),(22,51),(22,59),(23,36),(23,37),(24,39),(24,40),(25,19),(25,68),(25,69),(26,38),(26,43),(27,50),(27,62),(28,51),(28,63),(29,18),(29,60),(29,61),(30,78),(31,78),(32,79),(33,1),(34,76),(35,75),(36,8),(36,76),(37,9),(37,76),(38,45),(39,46),(40,47),(41,73),(42,72),(43,44),(44,35),(45,54),(46,31),(47,30),(48,31),(48,77),(49,30),(49,77),(50,41),(51,42),(52,38),(52,79),(53,61),(53,79),(54,49),(54,75),(55,48),(55,75),(56,66),(57,44),(58,6),(58,41),(59,7),(59,42),(60,66),(60,70),(61,67),(61,71),(62,34),(62,36),(63,34),(63,37),(64,46),(64,48),(65,47),(65,49),(66,55),(66,64),(67,54),(67,65),(68,32),(68,52),(69,32),(69,53),(70,39),(70,64),(71,40),(71,65),(72,43),(72,57),(73,56),(73,60),(74,23),(74,62),(74,63),(75,77),(76,2),(77,78),(79,45),(79,67)],80)
[[1,1,2,2,3,3,4],[3,4],[4]]=>([(0,4),(0,16),(0,17),(1,28),(2,9),(2,27),(3,8),(3,26),(4,12),(4,13),(5,85),(6,86),(7,51),(8,5),(8,67),(9,6),(9,66),(10,23),(10,79),(11,21),(11,59),(12,22),(12,81),(13,24),(13,81),(14,25),(14,89),(15,18),(15,39),(16,2),(16,36),(17,3),(17,36),(18,42),(18,65),(19,40),(19,69),(20,41),(20,64),(21,43),(21,68),(22,31),(22,88),(22,90),(23,32),(23,83),(23,84),(24,70),(24,82),(25,63),(25,87),(26,67),(26,88),(27,66),(27,70),(28,29),(28,85),(28,86),(29,48),(29,49),(30,56),(30,57),(31,45),(31,71),(32,30),(32,73),(32,74),(33,100),(34,98),(35,99),(36,1),(37,95),(38,96),(39,11),(40,7),(40,93),(41,91),(42,92),(43,94),(44,38),(44,93),(45,53),(46,79),(47,55),(48,83),(48,100),(49,63),(49,100),(50,42),(50,99),(51,75),(52,62),(53,58),(54,37),(55,60),(55,92),(56,54),(57,52),(58,35),(58,91),(59,43),(60,37),(60,97),(61,41),(61,96),(62,34),(62,95),(63,47),(64,50),(64,91),(65,80),(65,92),(66,10),(66,46),(67,14),(67,76),(68,34),(68,94),(69,20),(69,61),(69,93),(70,46),(71,38),(71,61),(72,55),(72,78),(73,56),(73,78),(74,57),(74,77),(75,65),(75,77),(76,53),(76,89),(77,52),(77,80),(78,54),(78,60),(79,51),(79,84),(80,62),(80,68),(80,97),(81,19),(81,82),(81,90),(82,40),(82,44),(83,72),(83,73),(84,74),(84,75),(85,33),(85,49),(86,33),(86,48),(87,35),(87,50),(88,45),(88,76),(89,58),(89,64),(89,87),(90,44),(90,69),(90,71),(91,99),(92,97),(93,15),(93,96),(94,98),(95,98),(96,39),(97,94),(97,95),(99,59),(100,47),(100,72)],101)
[[1,1,2,2,3,4,4],[3,4],[4]]=>([(0,2),(0,21),(0,22),(1,9),(1,38),(2,17),(2,18),(3,72),(4,117),(5,8),(5,82),(6,4),(6,135),(7,73),(8,113),(9,6),(9,102),(10,30),(10,86),(11,35),(11,120),(12,31),(12,85),(13,34),(13,134),(14,29),(14,119),(15,36),(15,50),(16,37),(16,84),(17,32),(17,124),(18,33),(18,124),(19,26),(19,55),(20,24),(20,28),(20,103),(21,1),(21,83),(22,20),(22,25),(22,83),(23,58),(23,100),(24,108),(24,132),(25,98),(25,103),(26,57),(26,101),(27,56),(27,106),(28,39),(28,108),(28,125),(29,43),(29,129),(29,130),(30,59),(30,99),(31,104),(31,105),(32,44),(32,132),(32,136),(33,107),(33,126),(34,96),(34,131),(35,94),(35,95),(36,40),(36,127),(36,135),(37,42),(37,97),(37,128),(38,102),(38,107),(39,69),(39,127),(40,68),(40,70),(41,77),(41,118),(42,88),(42,89),(43,41),(43,110),(43,133),(44,112),(44,114),(45,148),(46,154),(47,152),(48,139),(49,147),(50,16),(51,142),(52,141),(53,140),(54,153),(55,12),(56,7),(56,138),(57,137),(58,3),(58,150),(59,149),(60,65),(61,53),(61,138),(62,51),(62,154),(63,119),(64,75),(65,52),(66,92),(67,57),(67,152),(68,129),(68,151),(69,84),(70,96),(70,151),(71,120),(72,60),(73,111),(74,91),(75,87),(75,137),(76,95),(76,153),(77,74),(78,81),(78,149),(79,45),(80,48),(80,151),(81,47),(81,150),(82,11),(82,71),(83,15),(83,98),(84,128),(85,104),(86,5),(86,99),(87,51),(87,146),(88,76),(88,144),(89,93),(89,144),(90,58),(90,140),(91,49),(91,142),(92,45),(92,141),(93,46),(93,143),(94,65),(95,66),(96,64),(97,89),(97,139),(98,50),(99,82),(99,149),(100,67),(100,150),(101,121),(101,137),(102,14),(102,63),(103,10),(103,125),(104,52),(104,145),(105,49),(105,145),(106,23),(106,90),(106,138),(107,63),(108,13),(108,115),(109,75),(109,122),(110,77),(110,116),(111,101),(111,116),(112,53),(112,90),(113,54),(113,76),(114,59),(114,78),(115,78),(115,134),(116,74),(116,121),(117,48),(117,97),(118,46),(118,62),(119,73),(119,130),(120,60),(120,94),(121,91),(121,105),(121,146),(122,62),(122,87),(122,143),(123,79),(123,92),(124,27),(124,126),(124,136),(125,69),(125,86),(126,56),(126,61),(127,70),(127,80),(128,88),(128,113),(128,139),(129,109),(129,133),(130,110),(130,111),(131,47),(131,67),(132,114),(132,115),(133,93),(133,118),(133,122),(134,81),(134,100),(134,131),(135,68),(135,80),(135,117),(136,61),(136,106),(136,112),(137,146),(138,19),(138,140),(139,54),(139,144),(140,55),(141,148),(142,147),(143,123),(143,154),(144,143),(144,153),(145,141),(145,147),(146,142),(146,145),(147,148),(149,71),(150,72),(150,152),(151,64),(151,109),(152,85),(153,66),(153,123),(154,79)],155)
[[1,1,2,3,3,3,4],[3,4],[4]]=>([(0,4),(0,16),(0,17),(1,29),(2,9),(2,28),(3,8),(3,27),(4,13),(4,14),(5,98),(6,99),(7,57),(8,5),(8,79),(9,6),(9,78),(10,26),(10,105),(11,22),(11,94),(12,23),(12,67),(13,24),(13,96),(14,25),(14,96),(15,20),(15,72),(16,2),(16,38),(17,3),(17,38),(18,35),(18,45),(18,76),(19,74),(19,77),(20,43),(20,75),(21,44),(21,80),(22,34),(22,101),(22,102),(23,46),(23,47),(24,33),(24,103),(24,106),(25,81),(25,100),(26,73),(26,97),(27,79),(27,103),(28,78),(28,81),(29,30),(29,98),(29,99),(30,53),(30,54),(31,62),(31,63),(32,58),(32,88),(33,32),(33,86),(33,104),(34,31),(34,83),(34,84),(35,41),(35,69),(36,118),(37,117),(38,1),(39,111),(40,112),(41,113),(42,114),(43,109),(44,7),(44,107),(45,12),(45,121),(46,110),(47,110),(48,46),(48,116),(49,56),(49,107),(50,94),(51,60),(52,43),(52,120),(53,101),(53,118),(54,73),(54,118),(55,45),(56,37),(56,119),(57,85),(58,59),(59,71),(60,70),(60,109),(61,68),(62,61),(63,64),(64,40),(65,39),(65,120),(66,42),(66,117),(67,47),(68,48),(68,112),(69,48),(69,113),(70,40),(70,115),(71,39),(71,114),(72,18),(72,55),(73,51),(74,52),(74,108),(75,95),(75,109),(76,41),(76,121),(77,42),(77,108),(78,11),(78,50),(79,10),(79,87),(80,19),(80,89),(80,107),(81,50),(82,60),(82,92),(83,62),(83,93),(84,63),(84,92),(85,75),(85,93),(86,58),(86,91),(87,91),(87,105),(88,37),(88,66),(89,66),(89,77),(89,119),(90,65),(90,71),(90,108),(91,59),(91,90),(92,64),(92,70),(93,61),(93,95),(94,57),(94,102),(95,68),(95,69),(95,115),(96,21),(96,100),(96,106),(97,52),(97,65),(98,36),(98,54),(99,36),(99,53),(100,44),(100,49),(101,82),(101,84),(102,83),(102,85),(103,86),(103,87),(104,56),(104,88),(104,89),(105,74),(105,90),(105,97),(106,49),(106,80),(106,104),(107,15),(107,119),(108,114),(108,120),(109,115),(111,121),(112,116),(113,116),(114,111),(115,112),(115,113),(116,110),(117,55),(118,51),(118,82),(119,72),(119,117),(120,76),(120,111),(121,67)],122)
[[1,1,2,3,3,4,4],[3,4],[4]]=>([(0,2),(0,20),(0,21),(1,8),(1,39),(2,16),(2,17),(3,79),(4,133),(5,7),(5,92),(6,4),(6,158),(7,127),(8,6),(8,115),(9,34),(9,95),(10,35),(10,157),(11,33),(11,156),(12,36),(12,142),(13,30),(13,137),(14,37),(14,55),(15,38),(15,94),(16,31),(16,143),(17,32),(17,143),(18,22),(18,106),(19,25),(19,29),(19,116),(20,1),(20,93),(21,19),(21,26),(21,93),(22,60),(22,113),(23,61),(23,120),(24,112),(24,121),(25,123),(25,152),(26,111),(26,116),(27,62),(27,117),(28,45),(28,64),(28,118),(29,40),(29,123),(29,144),(30,47),(30,149),(30,150),(31,46),(31,152),(31,159),(32,122),(32,146),(33,107),(33,151),(34,110),(34,114),(35,108),(35,145),(36,63),(36,119),(37,41),(37,147),(37,158),(38,44),(38,109),(38,148),(39,115),(39,122),(40,77),(40,147),(41,76),(41,78),(42,134),(42,136),(43,87),(43,135),(44,99),(44,102),(45,100),(45,101),(46,42),(46,154),(46,155),(47,43),(47,125),(47,153),(48,177),(49,183),(50,184),(51,163),(52,187),(53,186),(54,176),(55,15),(56,166),(57,168),(58,174),(59,185),(60,162),(61,3),(61,160),(62,173),(63,170),(64,12),(64,165),(65,56),(65,187),(66,57),(66,186),(67,103),(68,64),(69,60),(69,180),(70,88),(70,160),(71,137),(72,83),(73,104),(74,62),(74,164),(75,63),(75,178),(76,149),(76,181),(77,94),(78,108),(78,181),(79,126),(80,96),(81,74),(81,184),(82,84),(82,183),(83,98),(83,162),(84,58),(84,164),(85,58),(85,180),(86,107),(86,185),(87,80),(88,50),(88,182),(89,48),(90,54),(91,51),(91,181),(92,11),(92,141),(93,14),(93,111),(94,148),(95,5),(95,110),(96,75),(96,166),(97,66),(97,167),(98,56),(98,175),(99,86),(99,171),(100,75),(100,172),(101,57),(101,172),(102,105),(102,171),(103,53),(103,167),(104,54),(104,168),(105,52),(105,169),(106,28),(106,68),(107,73),(108,72),(109,102),(109,163),(110,92),(110,161),(111,55),(112,69),(112,179),(113,138),(113,162),(114,49),(114,161),(115,13),(115,71),(116,9),(116,144),(117,97),(117,173),(118,101),(118,165),(119,48),(119,170),(120,24),(120,128),(120,160),(121,27),(121,74),(121,179),(122,71),(123,10),(123,129),(124,83),(124,139),(125,87),(125,132),(126,113),(126,132),(127,59),(127,86),(128,81),(128,121),(128,182),(129,131),(129,157),(130,84),(130,85),(130,179),(131,82),(131,130),(131,161),(132,80),(132,138),(133,51),(133,109),(134,50),(134,81),(135,52),(135,65),(136,49),(136,82),(137,79),(137,150),(138,96),(138,100),(138,175),(139,65),(139,98),(139,169),(140,90),(140,104),(141,67),(141,156),(142,89),(142,119),(143,23),(143,146),(143,159),(144,77),(144,95),(145,69),(145,85),(146,61),(146,70),(147,78),(147,91),(148,99),(148,127),(148,163),(149,124),(149,153),(150,125),(150,126),(151,53),(151,66),(152,129),(152,154),(153,105),(153,135),(153,139),(154,114),(154,131),(154,136),(155,88),(155,128),(155,134),(156,97),(156,103),(156,151),(157,112),(157,130),(157,145),(158,76),(158,91),(158,133),(159,70),(159,120),(159,155),(160,18),(160,182),(161,141),(161,183),(162,175),(163,59),(163,171),(164,173),(164,174),(165,142),(166,178),(167,186),(168,176),(169,140),(169,187),(170,177),(171,169),(171,185),(172,168),(172,178),(173,167),(174,165),(175,166),(175,172),(176,177),(178,170),(178,176),(179,117),(179,164),(179,180),(180,118),(180,174),(181,72),(181,124),(182,106),(182,184),(183,67),(184,68),(185,73),(185,140),(186,89),(187,90)],188)
[[1,2,2,2,2,3,3],[3,4],[4]]=>([(0,3),(0,4),(1,10),(1,17),(2,5),(3,1),(4,7),(4,8),(5,30),(6,29),(7,18),(7,41),(8,11),(8,41),(9,12),(9,40),(10,31),(11,39),(12,13),(12,35),(13,14),(13,32),(14,15),(14,36),(15,24),(16,21),(16,22),(17,25),(17,31),(18,25),(18,38),(20,42),(21,42),(22,6),(22,42),(23,26),(24,27),(25,28),(26,19),(27,19),(28,40),(29,34),(30,23),(31,9),(31,28),(32,36),(32,37),(33,26),(33,27),(34,30),(34,37),(35,32),(35,34),(36,24),(36,33),(37,23),(37,33),(38,20),(38,22),(39,20),(39,21),(40,29),(40,35),(41,16),(41,38),(41,39),(42,2)],43)
[[1,2,2,2,3,3,3],[3,4],[4]]=>([(0,3),(0,4),(1,10),(2,11),(2,20),(3,2),(4,5),(4,7),(5,16),(5,50),(6,36),(7,21),(7,50),(8,12),(8,49),(9,13),(9,26),(10,37),(11,38),(12,18),(12,40),(13,33),(14,32),(15,48),(16,15),(16,51),(17,14),(17,41),(18,17),(18,44),(19,25),(19,35),(20,28),(20,38),(21,28),(21,39),(23,52),(24,52),(25,6),(25,53),(26,1),(27,49),(28,27),(29,30),(30,22),(31,22),(32,29),(33,42),(34,23),(34,53),(35,24),(35,53),(36,43),(37,31),(38,8),(38,27),(39,25),(39,34),(40,43),(40,44),(41,32),(41,45),(42,37),(42,46),(43,33),(43,47),(44,41),(44,47),(45,29),(45,46),(46,30),(46,31),(47,42),(47,45),(48,23),(48,24),(49,36),(49,40),(50,19),(50,39),(50,51),(51,34),(51,35),(51,48),(52,26),(53,9),(53,52)],54)
[[1,2,2,2,2,3,4],[3,4],[4]]=>([(0,5),(0,16),(0,17),(1,26),(2,10),(2,24),(3,11),(3,25),(4,18),(5,12),(5,13),(6,80),(7,81),(8,51),(9,50),(10,6),(10,57),(11,7),(11,58),(12,20),(12,75),(13,21),(13,75),(14,19),(14,63),(15,22),(15,66),(16,2),(16,33),(17,3),(17,33),(18,36),(18,60),(19,30),(19,76),(19,77),(20,62),(20,78),(21,61),(21,79),(22,56),(22,59),(23,37),(23,38),(24,57),(24,61),(25,58),(25,62),(26,27),(26,80),(26,81),(27,40),(27,41),(28,29),(28,69),(28,70),(29,45),(29,46),(30,28),(30,65),(30,67),(31,82),(32,87),(33,1),(34,84),(35,84),(36,83),(37,9),(37,82),(38,8),(38,82),(39,36),(40,76),(40,87),(41,56),(41,87),(42,47),(43,63),(44,66),(45,49),(46,48),(47,53),(47,83),(48,35),(49,34),(50,39),(51,64),(52,54),(52,86),(53,55),(53,86),(54,34),(54,85),(55,35),(55,85),(56,42),(57,14),(57,43),(58,15),(58,44),(59,39),(60,52),(60,83),(61,43),(62,44),(63,51),(63,77),(64,60),(64,73),(65,69),(65,73),(66,50),(66,59),(67,70),(67,74),(68,47),(68,74),(69,45),(69,72),(70,46),(70,71),(71,48),(71,55),(72,49),(72,54),(73,52),(73,72),(74,53),(74,71),(75,23),(75,78),(75,79),(76,67),(76,68),(77,64),(77,65),(78,31),(78,37),(79,31),(79,38),(80,32),(80,40),(81,32),(81,41),(82,4),(83,86),(85,84),(86,85),(87,42),(87,68)],88)
[[1,2,2,2,3,3,4],[3,4],[4]]=>([(0,4),(0,16),(0,17),(1,28),(2,9),(2,27),(3,8),(3,26),(4,12),(4,13),(5,93),(6,94),(7,52),(8,5),(8,70),(9,6),(9,69),(10,23),(10,86),(11,21),(11,61),(12,22),(12,89),(13,24),(13,89),(14,25),(14,97),(15,18),(15,40),(16,2),(16,37),(17,3),(17,37),(18,43),(18,68),(19,41),(19,72),(20,42),(20,67),(21,44),(21,71),(22,32),(22,96),(22,98),(23,33),(23,91),(23,92),(24,73),(24,90),(25,66),(25,95),(26,70),(26,96),(27,69),(27,73),(28,29),(28,93),(28,94),(29,49),(29,50),(30,31),(30,80),(30,81),(31,54),(31,55),(32,46),(32,74),(33,30),(33,76),(33,77),(34,110),(35,108),(36,109),(37,1),(38,102),(39,104),(40,11),(41,7),(41,101),(42,99),(43,100),(44,103),(45,39),(45,101),(46,53),(47,86),(48,58),(49,91),(49,110),(50,66),(50,110),(51,43),(51,109),(52,78),(53,60),(54,56),(55,57),(56,65),(57,38),(58,62),(58,100),(59,35),(59,107),(60,36),(60,99),(61,44),(62,63),(62,106),(63,38),(63,105),(64,42),(64,104),(65,35),(65,102),(66,48),(67,51),(67,99),(68,88),(68,100),(69,10),(69,47),(70,14),(70,79),(71,59),(71,103),(72,20),(72,64),(72,101),(73,47),(74,39),(74,64),(75,58),(75,85),(76,80),(76,85),(77,81),(77,82),(78,68),(78,82),(79,53),(79,97),(80,55),(80,83),(81,54),(81,84),(82,84),(82,88),(83,57),(83,63),(84,56),(84,87),(85,62),(85,83),(86,52),(86,92),(87,59),(87,65),(87,105),(88,71),(88,87),(88,106),(89,19),(89,90),(89,98),(90,41),(90,45),(91,75),(91,76),(92,77),(92,78),(93,34),(93,50),(94,34),(94,49),(95,36),(95,51),(96,46),(96,79),(97,60),(97,67),(97,95),(98,45),(98,72),(98,74),(99,109),(100,106),(101,15),(101,104),(102,108),(103,107),(104,40),(105,102),(105,107),(106,103),(106,105),(107,108),(109,61),(110,48),(110,75)],111)
[[1,2,2,2,3,4,4],[3,4],[4]]=>([(0,2),(0,21),(0,22),(1,9),(1,38),(2,17),(2,18),(3,73),(4,124),(5,8),(5,85),(6,4),(6,146),(7,74),(8,118),(9,6),(9,107),(10,30),(10,89),(11,35),(11,127),(12,34),(12,145),(13,29),(13,126),(14,31),(14,88),(15,36),(15,51),(16,37),(16,87),(17,32),(17,134),(18,33),(18,134),(19,26),(19,56),(20,24),(20,28),(20,108),(21,1),(21,86),(22,20),(22,25),(22,86),(23,59),(23,105),(24,113),(24,142),(25,103),(25,108),(26,58),(26,106),(27,57),(27,111),(28,39),(28,113),(28,135),(29,44),(29,139),(29,140),(30,60),(30,104),(31,109),(31,110),(32,45),(32,142),(32,147),(33,112),(33,136),(34,101),(34,141),(35,99),(35,100),(36,41),(36,137),(36,146),(37,40),(37,102),(37,138),(38,107),(38,112),(39,70),(39,137),(40,93),(40,94),(41,69),(41,71),(42,43),(42,121),(42,144),(43,75),(43,125),(44,42),(44,115),(44,143),(45,117),(45,119),(46,163),(47,169),(48,167),(49,162),(50,150),(51,16),(52,154),(53,153),(54,152),(55,168),(56,14),(57,7),(57,149),(58,148),(59,3),(59,165),(60,164),(61,66),(62,54),(62,149),(63,52),(63,169),(64,126),(65,77),(66,53),(67,92),(68,58),(68,167),(69,139),(69,166),(70,87),(71,101),(71,166),(72,127),(73,61),(74,116),(75,76),(76,97),(77,90),(77,148),(78,100),(78,168),(79,84),(79,164),(80,46),(80,160),(81,49),(81,161),(82,49),(83,50),(83,166),(84,48),(84,165),(85,11),(85,72),(86,15),(86,103),(87,138),(88,110),(89,5),(89,104),(90,91),(90,159),(91,52),(91,156),(92,81),(92,153),(93,78),(93,155),(94,95),(94,155),(95,98),(95,158),(96,59),(96,152),(97,46),(97,154),(98,47),(98,151),(99,66),(100,67),(101,65),(102,94),(102,150),(103,51),(104,85),(104,164),(105,68),(105,165),(106,129),(106,148),(107,13),(107,64),(108,10),(108,135),(109,80),(109,157),(110,53),(110,157),(111,23),(111,96),(111,149),(112,64),(113,12),(113,120),(114,77),(114,131),(115,121),(115,122),(116,106),(116,122),(117,54),(117,96),(118,55),(118,78),(119,60),(119,79),(120,79),(120,145),(121,75),(121,123),(122,123),(122,129),(123,76),(123,128),(124,50),(124,102),(125,47),(125,63),(126,74),(126,140),(127,61),(127,99),(128,80),(128,97),(128,156),(129,109),(129,128),(129,159),(130,63),(130,91),(130,151),(131,90),(131,130),(131,158),(132,92),(132,133),(133,81),(133,82),(134,27),(134,136),(134,147),(135,70),(135,89),(136,57),(136,62),(137,71),(137,83),(138,93),(138,118),(138,150),(139,114),(139,143),(140,115),(140,116),(141,48),(141,68),(142,119),(142,120),(143,95),(143,131),(143,144),(144,98),(144,125),(144,130),(145,84),(145,105),(145,141),(146,69),(146,83),(146,124),(147,62),(147,111),(147,117),(148,159),(149,19),(149,152),(150,55),(150,155),(151,133),(151,169),(152,56),(153,161),(154,163),(155,158),(155,168),(156,154),(156,160),(157,153),(157,160),(158,132),(158,151),(159,156),(159,157),(160,161),(160,163),(161,162),(163,162),(164,72),(165,73),(165,167),(166,65),(166,114),(167,88),(168,67),(168,132),(169,82)],170)
[[1,2,2,3,3,3,4],[3,4],[4]]=>([(0,4),(0,16),(0,17),(1,29),(2,9),(2,28),(3,8),(3,27),(4,13),(4,14),(5,110),(6,111),(7,56),(8,5),(8,81),(9,6),(9,80),(10,26),(10,114),(11,22),(11,102),(12,23),(12,68),(13,24),(13,105),(14,25),(14,105),(15,19),(15,74),(16,2),(16,40),(17,3),(17,40),(18,77),(18,79),(19,45),(19,78),(20,46),(20,83),(21,31),(21,47),(21,76),(22,36),(22,108),(22,109),(23,48),(23,82),(24,35),(24,112),(24,115),(25,84),(25,107),(26,75),(26,106),(27,81),(27,112),(28,80),(28,84),(29,30),(29,110),(29,111),(30,53),(30,54),(31,44),(31,70),(32,34),(32,94),(32,95),(33,64),(33,101),(34,58),(34,59),(35,33),(35,90),(35,113),(36,32),(36,86),(36,87),(37,131),(38,127),(39,130),(40,1),(41,124),(42,122),(43,121),(44,119),(45,118),(46,7),(46,116),(47,12),(47,133),(48,120),(49,66),(49,116),(50,102),(51,57),(52,45),(52,132),(53,108),(53,131),(54,75),(54,131),(55,47),(56,88),(57,71),(57,118),(58,60),(59,62),(60,69),(61,72),(62,42),(63,43),(63,132),(64,61),(65,41),(65,130),(66,39),(66,129),(67,38),(67,126),(68,48),(69,67),(69,122),(70,89),(70,119),(71,73),(71,125),(72,43),(72,124),(73,42),(73,123),(74,21),(74,55),(75,51),(76,44),(76,133),(77,52),(77,117),(78,103),(78,118),(79,41),(79,117),(80,11),(80,50),(81,10),(81,91),(82,38),(82,120),(83,18),(83,92),(83,116),(84,50),(85,57),(85,96),(86,94),(86,99),(87,95),(87,96),(88,78),(88,99),(89,67),(89,82),(89,128),(90,64),(90,97),(91,97),(91,114),(92,65),(92,79),(92,129),(93,63),(93,72),(93,117),(94,58),(94,98),(95,59),(95,100),(96,71),(96,100),(97,61),(97,93),(98,60),(98,104),(99,98),(99,103),(100,62),(100,73),(101,39),(101,65),(102,56),(102,109),(103,70),(103,104),(103,125),(104,69),(104,89),(104,123),(105,20),(105,107),(105,115),(106,52),(106,63),(107,46),(107,49),(108,85),(108,87),(109,86),(109,88),(110,37),(110,54),(111,37),(111,53),(112,90),(112,91),(113,66),(113,92),(113,101),(114,77),(114,93),(114,106),(115,49),(115,83),(115,113),(116,15),(116,129),(117,124),(117,132),(118,125),(119,128),(120,127),(121,133),(122,126),(123,122),(123,128),(124,121),(125,119),(125,123),(126,127),(128,120),(128,126),(129,74),(129,130),(130,55),(131,51),(131,85),(132,76),(132,121),(133,68)],134)
[[1,2,2,3,3,4,4],[3,4],[4]]=>([(0,2),(0,20),(0,21),(1,8),(1,39),(2,16),(2,17),(3,141),(4,7),(4,94),(5,3),(5,170),(6,79),(7,133),(8,5),(8,119),(9,35),(9,97),(10,36),(10,169),(11,34),(11,168),(12,31),(12,153),(13,30),(13,145),(14,37),(14,57),(15,38),(15,96),(16,32),(16,154),(17,33),(17,154),(18,26),(18,110),(19,24),(19,29),(19,120),(20,1),(20,95),(21,19),(21,25),(21,95),(22,64),(22,122),(23,116),(23,126),(24,128),(24,163),(25,114),(25,120),(26,63),(26,117),(27,62),(27,125),(28,44),(28,65),(28,121),(29,40),(29,128),(29,155),(30,48),(30,160),(30,161),(31,123),(31,124),(32,47),(32,163),(32,171),(33,127),(33,157),(34,111),(34,162),(35,115),(35,118),(36,112),(36,156),(37,42),(37,158),(37,170),(38,41),(38,113),(38,159),(39,119),(39,127),(40,77),(40,158),(41,103),(41,105),(42,76),(42,78),(43,142),(43,144),(44,104),(44,107),(45,46),(45,136),(45,166),(46,81),(46,143),(47,43),(47,165),(47,167),(48,45),(48,130),(48,164),(49,202),(50,201),(51,175),(52,204),(53,205),(54,194),(55,192),(56,193),(57,15),(58,178),(59,179),(60,188),(61,203),(62,6),(62,173),(63,174),(64,186),(65,12),(65,177),(66,64),(66,176),(67,59),(67,204),(68,58),(68,205),(69,108),(70,65),(71,88),(71,173),(72,145),(73,84),(74,102),(75,63),(75,198),(76,160),(76,199),(77,96),(78,112),(78,199),(79,131),(80,85),(80,202),(81,83),(82,66),(82,201),(83,98),(84,100),(84,174),(85,60),(85,176),(86,60),(86,198),(87,111),(87,203),(88,50),(88,200),(89,56),(90,54),(90,190),(91,54),(92,51),(92,199),(93,55),(93,191),(94,11),(94,151),(95,14),(95,114),(96,159),(97,4),(97,115),(98,93),(98,179),(99,68),(99,181),(100,101),(100,189),(101,59),(101,184),(102,90),(102,178),(103,87),(103,183),(104,58),(104,185),(105,106),(105,183),(106,109),(106,187),(107,132),(107,185),(108,53),(108,181),(109,52),(109,180),(110,28),(110,70),(111,74),(112,73),(113,105),(113,175),(114,57),(115,94),(115,172),(116,75),(116,197),(117,146),(117,174),(118,49),(118,172),(119,13),(119,72),(120,9),(120,155),(121,104),(121,177),(122,99),(122,186),(123,56),(123,182),(124,55),(124,182),(125,23),(125,134),(125,173),(126,22),(126,66),(126,197),(127,72),(128,10),(128,135),(129,84),(129,149),(130,136),(130,140),(131,117),(131,140),(132,93),(132,124),(132,195),(133,61),(133,87),(134,82),(134,126),(134,200),(135,138),(135,169),(136,81),(136,139),(137,85),(137,86),(137,197),(138,80),(138,137),(138,172),(139,83),(139,148),(140,139),(140,146),(141,51),(141,113),(142,50),(142,82),(143,52),(143,67),(144,49),(144,80),(145,79),(145,161),(146,107),(146,148),(146,189),(147,67),(147,101),(147,180),(148,98),(148,132),(148,184),(149,100),(149,147),(149,187),(150,102),(150,152),(151,69),(151,168),(152,90),(152,91),(153,89),(153,123),(154,27),(154,157),(154,171),(155,77),(155,97),(156,75),(156,86),(157,62),(157,71),(158,78),(158,92),(159,103),(159,133),(159,175),(160,129),(160,164),(161,130),(161,131),(162,53),(162,68),(163,135),(163,165),(164,106),(164,149),(164,166),(165,118),(165,138),(165,144),(166,109),(166,143),(166,147),(167,88),(167,134),(167,142),(168,99),(168,108),(168,162),(169,116),(169,137),(169,156),(170,76),(170,92),(170,141),(171,71),(171,125),(171,167),(172,151),(172,202),(173,18),(173,200),(174,189),(175,61),(175,183),(176,186),(176,188),(177,153),(178,190),(179,191),(180,152),(180,204),(181,205),(182,192),(182,193),(183,187),(183,203),(184,179),(184,195),(185,178),(185,195),(186,181),(187,150),(187,180),(188,177),(189,184),(189,185),(190,193),(190,194),(191,192),(191,194),(192,196),(193,196),(194,196),(195,182),(195,190),(195,191),(197,122),(197,176),(197,198),(198,121),(198,188),(199,73),(199,129),(200,110),(200,201),(201,70),(202,69),(203,74),(203,150),(204,91),(205,89)],206)
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]]=>([],1)
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]]=>([(0,1)],2)
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]]=>([(0,1)],2)
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]]=>([(0,2),(2,1)],3)
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]]=>([(0,1)],2)
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,4],[5]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,4],[5]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16)
[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,4],[5]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,4],[5]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,14),(0,15),(1,19),(2,18),(3,29),(4,30),(5,22),(6,23),(7,24),(7,25),(8,9),(9,7),(9,18),(9,19),(10,5),(11,6),(12,2),(12,29),(13,1),(13,30),(14,16),(14,28),(15,17),(15,28),(16,3),(16,12),(17,4),(17,13),(18,24),(18,27),(19,25),(19,27),(20,26),(21,26),(22,20),(23,21),(24,22),(24,31),(25,23),(25,31),(27,31),(28,8),(29,10),(30,11),(31,20),(31,21)],32)
[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]]=>([(0,1)],2)
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,5],[5]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]]=>([(0,2),(2,1)],3)
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,5],[5]]=>([(0,3),(0,8),(1,10),(2,10),(3,9),(4,6),(5,4),(5,11),(6,2),(7,1),(8,5),(8,9),(9,11),(11,7)],12)
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,5],[5]]=>([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12)
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,5],[5]]=>([(0,4),(0,7),(2,10),(3,9),(4,8),(5,3),(5,11),(6,1),(7,5),(7,8),(8,11),(9,10),(10,6),(11,2),(11,9)],12)
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,5],[5]]=>([(0,4),(0,7),(1,9),(2,10),(3,9),(3,10),(4,11),(5,8),(6,1),(7,5),(7,11),(8,2),(8,3),(9,12),(10,12),(11,6)],13)
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,5],[5]]=>([(0,10),(0,11),(1,13),(1,14),(2,21),(3,20),(4,14),(4,20),(5,17),(6,16),(7,18),(8,12),(9,1),(9,22),(10,5),(10,15),(11,8),(11,15),(12,3),(12,4),(13,21),(14,19),(15,9),(15,17),(17,22),(18,16),(19,18),(20,7),(20,19),(21,6),(22,2),(22,13)],23)
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,5],[5]]=>([(0,16),(0,17),(0,28),(1,22),(2,19),(3,11),(3,21),(4,54),(5,55),(6,26),(6,57),(7,25),(7,67),(8,23),(8,64),(9,24),(9,65),(10,14),(10,56),(11,15),(11,58),(12,3),(12,37),(13,27),(13,66),(14,59),(15,60),(16,13),(16,53),(17,6),(17,61),(18,51),(18,52),(19,33),(19,34),(20,35),(20,36),(21,50),(21,58),(22,18),(22,59),(22,60),(23,41),(23,43),(24,42),(24,44),(25,50),(25,63),(26,29),(26,46),(27,29),(27,45),(28,12),(28,53),(28,61),(29,70),(30,71),(31,69),(32,68),(33,68),(34,68),(35,4),(35,69),(36,5),(36,69),(37,1),(38,33),(39,34),(40,64),(41,48),(42,49),(43,38),(44,39),(45,62),(45,70),(46,56),(46,70),(47,65),(48,32),(49,32),(50,40),(51,42),(51,71),(52,41),(52,71),(53,7),(53,66),(54,38),(55,39),(56,9),(56,47),(57,10),(57,46),(58,8),(58,40),(59,30),(59,51),(60,30),(60,52),(61,37),(61,57),(62,31),(62,36),(63,31),(63,35),(64,43),(64,54),(65,44),(65,55),(66,45),(66,67),(67,20),(67,62),(67,63),(69,2),(70,47),(71,48),(71,49)],72)
[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,1,1,3],[2,2,2,3],[3,3,5],[4,5],[5]]=>([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14)
[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,1,1,4],[2,2,2,4],[3,3,5],[4,5],[5]]=>([(0,6),(0,7),(2,5),(2,16),(3,4),(3,17),(4,14),(5,12),(6,13),(7,2),(7,13),(8,10),(8,11),(9,18),(10,18),(11,18),(12,15),(13,3),(13,16),(14,9),(14,10),(15,9),(15,11),(16,12),(16,17),(17,8),(17,14),(17,15),(18,1)],19)
[[1,1,1,1,1],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,1,2],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,1),(5,10),(6,3),(6,4),(6,8),(7,2),(7,6),(8,12),(8,13),(9,5),(9,14),(10,11),(12,14),(13,14),(14,10)],15)
[[1,1,1,1,3],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,1),(1,4),(1,5),(2,16),(3,6),(3,17),(4,18),(5,7),(5,8),(5,18),(6,13),(7,11),(7,14),(8,10),(8,11),(10,19),(11,3),(11,19),(12,9),(13,9),(14,16),(14,19),(15,12),(16,15),(17,12),(17,13),(18,2),(18,10),(18,14),(19,15),(19,17)],20)
[[1,1,1,1,4],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,2),(1,6),(2,4),(2,5),(3,7),(3,22),(4,23),(5,9),(5,10),(5,23),(6,20),(7,15),(8,12),(8,14),(9,13),(9,17),(10,13),(10,18),(12,1),(13,3),(13,24),(14,19),(15,16),(16,11),(17,14),(17,24),(18,12),(18,24),(19,21),(20,11),(21,16),(21,20),(22,15),(22,21),(23,8),(23,17),(23,18),(24,19),(24,22)],25)
[[1,1,1,1,5],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,9),(1,13),(2,14),(4,12),(5,11),(6,1),(6,12),(7,3),(8,5),(8,15),(9,10),(10,4),(10,6),(11,14),(12,8),(12,13),(13,15),(14,7),(15,2),(15,11)],16)
[[1,1,1,2,2],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,1),(1,3),(1,4),(2,5),(2,18),(3,6),(3,19),(4,7),(4,8),(4,19),(5,13),(6,17),(7,12),(7,15),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,9),(14,10),(14,20),(15,11),(15,20),(16,9),(17,10),(17,11),(18,13),(18,16),(19,14),(19,15),(19,17),(20,18),(20,21),(21,16)],22)
[[1,1,1,2,5],[2,2,2,5],[3,3,5],[4,5],[5]]=>([(0,11),(0,12),(1,22),(2,19),(3,18),(3,23),(4,14),(4,20),(5,15),(6,15),(6,17),(7,5),(8,1),(8,17),(9,3),(9,21),(9,26),(10,2),(10,16),(11,13),(12,7),(13,6),(13,8),(14,29),(15,24),(16,19),(17,9),(17,22),(17,24),(18,20),(18,28),(20,10),(20,29),(21,23),(21,27),(22,25),(22,26),(23,28),(24,21),(24,25),(25,27),(26,4),(26,18),(26,27),(27,14),(27,28),(28,29),(29,16)],30)
[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,1,1,3],[2,2,3,3],[3,3,5],[4,5],[5]]=>([(0,6),(0,7),(1,5),(1,15),(2,4),(2,14),(3,13),(4,12),(5,3),(5,16),(6,9),(7,2),(7,9),(9,1),(9,14),(10,11),(11,8),(12,10),(13,8),(14,12),(14,15),(15,10),(15,16),(16,11),(16,13)],17)
[[1,1,1,1,1],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,1,1,1,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,8),(0,13),(1,19),(2,16),(2,18),(3,21),(4,26),(5,24),(6,16),(6,22),(7,20),(7,23),(8,17),(9,4),(9,18),(10,9),(11,7),(11,30),(12,3),(12,25),(13,14),(13,17),(14,1),(14,15),(15,2),(15,6),(15,19),(16,28),(17,10),(18,26),(18,28),(19,11),(19,22),(20,24),(20,31),(22,30),(23,31),(24,12),(24,27),(25,21),(26,23),(26,29),(27,25),(28,29),(29,31),(30,5),(30,20),(31,27)],32)
[[1,1,1,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,1),(1,4),(1,5),(2,8),(2,32),(3,6),(3,30),(4,7),(4,33),(5,10),(5,11),(5,33),(6,20),(7,31),(8,27),(9,15),(9,19),(10,18),(10,28),(11,18),(11,25),(13,39),(14,36),(14,39),(15,36),(16,38),(17,38),(18,2),(18,37),(19,26),(19,36),(20,21),(21,12),(22,12),(23,17),(23,35),(24,16),(24,35),(25,13),(25,37),(26,24),(26,34),(27,16),(27,17),(28,14),(28,19),(28,37),(29,21),(29,22),(30,20),(30,29),(31,13),(31,14),(31,15),(32,23),(32,24),(32,27),(33,9),(33,25),(33,28),(33,31),(34,30),(34,35),(35,29),(35,38),(36,3),(36,34),(37,26),(37,32),(37,39),(38,22),(39,23),(39,34)],40)
[[1,1,1,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,3),(0,4),(1,10),(1,18),(2,7),(3,1),(4,8),(4,9),(5,11),(5,48),(6,46),(7,38),(8,19),(8,49),(9,12),(9,49),(10,13),(10,47),(11,31),(12,43),(13,42),(14,17),(14,37),(14,44),(15,25),(15,26),(16,23),(16,27),(17,28),(17,33),(18,36),(18,47),(19,36),(19,41),(21,51),(22,50),(23,51),(24,54),(25,52),(26,5),(26,52),(27,6),(27,51),(28,34),(28,53),(29,20),(30,20),(31,29),(32,30),(33,26),(33,53),(34,38),(34,54),(35,32),(36,40),(37,15),(37,33),(37,50),(38,35),(39,29),(39,30),(40,22),(40,44),(41,21),(41,27),(42,22),(42,37),(43,21),(43,23),(44,28),(44,46),(44,50),(45,32),(45,39),(46,24),(46,34),(47,14),(47,40),(47,42),(48,31),(48,39),(49,16),(49,41),(49,43),(50,24),(50,25),(50,53),(51,2),(52,45),(52,48),(53,52),(53,54),(54,35),(54,45)],55)
[[1,1,2,2,2],[2,2,3,3],[3,3,5],[4,5],[5]]=>([(0,1),(1,3),(1,4),(2,5),(2,18),(3,6),(3,19),(4,7),(4,8),(4,19),(5,13),(6,17),(7,12),(7,15),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,9),(14,10),(14,20),(15,11),(15,20),(16,9),(17,10),(17,11),(18,13),(18,16),(19,14),(19,15),(19,17),(20,18),(20,21),(21,16)],22)
[[1,1,2,2,3],[2,2,3,3],[3,3,5],[4,5],[5]]=>([(0,4),(0,5),(1,10),(1,33),(2,9),(2,34),(3,6),(3,7),(3,38),(4,25),(5,3),(5,8),(5,25),(6,19),(6,30),(7,12),(7,19),(7,37),(8,13),(8,35),(8,38),(9,18),(9,31),(10,11),(10,29),(10,36),(11,26),(11,28),(12,22),(12,29),(13,21),(13,32),(14,45),(15,44),(16,46),(17,41),(18,42),(19,2),(19,39),(20,27),(21,20),(22,17),(22,40),(23,17),(23,46),(24,14),(25,1),(25,35),(26,18),(26,43),(27,15),(27,41),(28,15),(28,43),(29,26),(29,40),(30,16),(30,39),(31,14),(31,42),(32,16),(32,23),(33,20),(33,36),(34,24),(34,31),(35,21),(35,33),(36,27),(36,28),(36,40),(37,22),(37,23),(37,39),(38,30),(38,32),(38,37),(39,34),(39,46),(40,41),(40,43),(41,44),(42,45),(43,42),(43,44),(44,45),(46,24)],47)
[[1,1,2,2,2],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,3),(0,4),(1,8),(1,12),(2,7),(2,11),(3,2),(4,1),(5,9),(5,29),(6,10),(6,30),(7,20),(8,21),(9,14),(10,15),(11,20),(11,28),(12,21),(12,28),(14,16),(15,17),(16,18),(17,19),(18,13),(19,13),(20,5),(20,26),(21,6),(21,27),(22,24),(22,25),(23,18),(23,19),(24,16),(24,23),(25,17),(25,23),(26,22),(26,29),(27,22),(27,30),(28,26),(28,27),(29,14),(29,24),(30,15),(30,25)],31)
[[1,1,2,2,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,15),(0,16),(1,18),(2,5),(3,9),(3,12),(4,10),(4,11),(5,40),(6,42),(7,13),(7,51),(8,20),(8,41),(9,43),(10,28),(11,14),(11,28),(12,19),(12,21),(12,43),(13,29),(14,44),(15,3),(15,23),(16,4),(16,23),(17,31),(17,47),(18,17),(18,44),(18,52),(19,36),(19,37),(20,38),(20,39),(21,37),(21,52),(23,1),(24,56),(25,54),(26,53),(26,54),(27,56),(28,2),(29,34),(30,35),(31,40),(31,57),(32,25),(32,57),(33,24),(33,55),(34,22),(35,22),(36,41),(37,46),(38,42),(38,53),(39,33),(39,53),(40,48),(41,6),(41,38),(42,7),(42,49),(43,8),(43,36),(44,31),(44,32),(45,34),(45,35),(46,25),(46,26),(47,26),(47,39),(47,57),(48,24),(48,27),(49,50),(49,51),(50,30),(50,45),(51,29),(51,45),(52,32),(52,46),(52,47),(53,49),(53,55),(54,27),(54,55),(55,50),(55,56),(56,30),(57,33),(57,48),(57,54)],58)
[[1,1,2,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,2),(0,3),(1,7),(1,14),(2,1),(3,6),(3,8),(4,10),(4,62),(5,16),(5,59),(6,9),(6,63),(7,44),(8,17),(8,18),(8,63),(9,60),(10,46),(11,35),(11,36),(12,15),(12,53),(12,61),(13,24),(13,37),(14,44),(14,54),(15,27),(15,51),(16,26),(16,39),(17,33),(17,34),(18,34),(18,52),(18,54),(19,75),(20,74),(21,78),(22,77),(23,76),(23,77),(24,76),(25,68),(26,67),(27,29),(28,25),(28,78),(29,42),(30,20),(30,73),(31,20),(32,19),(32,72),(33,22),(33,64),(34,12),(34,45),(34,64),(35,38),(35,66),(36,40),(36,66),(37,11),(37,57),(37,76),(38,25),(38,71),(39,30),(39,67),(40,26),(40,70),(41,32),(41,70),(42,19),(42,68),(43,21),(43,69),(44,4),(44,47),(45,50),(45,53),(46,40),(46,41),(47,50),(47,62),(48,29),(48,55),(49,41),(49,55),(49,66),(50,48),(50,49),(51,21),(51,28),(52,23),(52,37),(52,64),(53,27),(53,48),(54,45),(54,47),(55,32),(55,42),(55,71),(56,28),(56,38),(56,69),(57,35),(57,56),(57,65),(58,30),(58,31),(59,39),(59,58),(60,22),(60,23),(60,24),(61,43),(61,51),(61,56),(62,36),(62,46),(62,49),(63,13),(63,33),(63,52),(63,60),(64,57),(64,61),(64,77),(65,59),(65,69),(66,70),(66,71),(67,73),(68,75),(69,58),(69,78),(70,67),(70,72),(71,68),(71,72),(72,73),(72,75),(73,74),(75,74),(76,5),(76,65),(77,43),(77,65),(78,31)],79)
[[1,1,2,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>([(0,5),(0,14),(0,15),(1,28),(2,9),(2,27),(3,13),(3,26),(4,21),(5,10),(5,11),(6,91),(7,81),(8,57),(9,6),(9,67),(10,18),(10,85),(11,19),(11,85),(12,20),(12,74),(13,17),(13,24),(13,93),(14,2),(14,37),(15,3),(15,37),(16,45),(16,70),(17,72),(17,88),(18,71),(18,89),(19,73),(19,90),(20,66),(20,68),(21,42),(21,65),(22,43),(22,44),(23,29),(23,87),(23,92),(24,72),(24,94),(25,31),(25,69),(25,86),(26,73),(26,93),(27,67),(27,71),(28,30),(28,91),(28,94),(29,48),(29,49),(30,50),(30,79),(31,56),(31,63),(31,64),(32,97),(33,99),(33,108),(34,98),(35,95),(35,97),(36,96),(37,1),(38,100),(39,100),(40,108),(41,109),(42,99),(43,7),(43,96),(44,8),(44,96),(45,101),(46,42),(47,65),(47,109),(48,53),(49,52),(50,66),(50,107),(51,74),(52,38),(53,39),(54,33),(54,106),(55,32),(55,107),(56,54),(56,95),(57,46),(58,62),(58,104),(59,61),(59,104),(60,58),(60,102),(61,39),(61,103),(62,38),(62,103),(63,47),(63,105),(64,70),(64,95),(64,105),(65,60),(65,99),(66,78),(67,12),(67,51),(68,46),(69,16),(69,64),(69,98),(70,23),(70,82),(70,101),(71,51),(72,80),(73,77),(74,57),(74,68),(75,53),(75,61),(76,52),(76,62),(77,34),(77,86),(78,33),(78,40),(79,35),(79,56),(79,107),(80,32),(80,35),(81,41),(81,47),(82,84),(82,87),(83,58),(83,76),(84,59),(84,75),(85,22),(85,89),(85,90),(86,63),(86,81),(86,98),(87,48),(87,75),(88,34),(88,69),(89,36),(89,44),(90,36),(90,43),(91,50),(91,55),(92,49),(92,76),(93,25),(93,77),(93,88),(94,55),(94,79),(94,80),(95,82),(95,106),(96,4),(97,40),(97,106),(98,41),(98,45),(98,105),(99,102),(101,83),(101,92),(102,104),(103,100),(104,103),(105,101),(105,109),(106,84),(106,108),(107,54),(107,78),(107,97),(108,59),(108,102),(109,60),(109,83)],110)
[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[[1,1,1,1,4],[2,2,2,4],[3,4,4],[4,5],[5]]=>([(0,4),(0,8),(1,11),(3,10),(4,9),(5,2),(6,3),(6,12),(7,5),(8,6),(8,9),(9,12),(10,11),(11,7),(12,1),(12,10)],13)
[[1,1,1,2,2],[2,2,2,4],[3,4,4],[4,5],[5]]=>([(0,6),(0,7),(1,5),(1,15),(2,4),(2,14),(3,13),(4,12),(5,3),(5,16),(6,9),(7,2),(7,9),(9,1),(9,14),(10,11),(11,8),(12,10),(13,8),(14,12),(14,15),(15,10),(15,16),(16,11),(16,13)],17)
[[1,1,1,2,4],[2,2,2,4],[3,4,4],[4,5],[5]]=>([(0,7),(0,8),(0,11),(1,23),(2,5),(2,20),(3,10),(3,21),(4,9),(4,22),(5,6),(5,15),(6,12),(7,4),(7,17),(8,3),(8,16),(9,14),(9,18),(10,13),(10,14),(11,16),(11,17),(13,24),(14,24),(15,12),(16,21),(17,22),(18,23),(18,24),(19,20),(20,15),(21,13),(22,1),(22,18),(23,2),(23,19),(24,19)],25)
[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,2],[2,2,2,2],[3,4,5],[4,5],[5]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,1,1,2,3],[2,2,2,3],[3,4,5],[4,5],[5]]=>([(0,7),(0,8),(0,11),(1,25),(2,10),(2,24),(3,5),(3,12),(3,26),(4,28),(5,6),(5,29),(6,4),(6,27),(7,2),(7,19),(8,3),(8,18),(9,15),(9,16),(10,13),(10,23),(11,18),(11,19),(12,22),(12,23),(12,29),(13,31),(14,30),(15,30),(16,30),(17,20),(18,26),(19,24),(20,14),(21,16),(22,25),(22,31),(23,17),(23,31),(24,13),(25,9),(25,21),(26,1),(26,22),(27,20),(27,28),(28,14),(28,15),(29,17),(29,27),(31,21)],32)
[[1,1,1,1,1],[2,2,2,5],[3,4,5],[4,5],[5]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,1,1,1,5],[2,2,2,5],[3,4,5],[4,5],[5]]=>([(0,8),(0,16),(1,19),(1,20),(2,21),(3,23),(4,26),(5,24),(6,22),(7,27),(8,18),(9,10),(9,20),(10,4),(10,31),(11,2),(11,30),(12,3),(13,7),(13,29),(14,11),(14,28),(15,6),(15,25),(16,17),(16,18),(17,1),(17,9),(17,33),(18,33),(19,24),(20,13),(20,31),(21,32),(22,32),(24,14),(25,12),(26,28),(27,25),(28,30),(29,15),(29,27),(30,21),(30,22),(31,26),(31,29),(32,23),(33,5),(33,19)],34)
[[1,1,1,2,2],[2,2,2,5],[3,4,5],[4,5],[5]]=>([(0,4),(0,5),(1,10),(1,33),(2,9),(2,34),(3,6),(3,7),(3,38),(4,25),(5,3),(5,8),(5,25),(6,19),(6,30),(7,12),(7,19),(7,37),(8,13),(8,35),(8,38),(9,18),(9,31),(10,11),(10,29),(10,36),(11,26),(11,28),(12,22),(12,29),(13,21),(13,32),(14,45),(15,44),(16,46),(17,41),(18,42),(19,2),(19,39),(20,27),(21,20),(22,17),(22,40),(23,17),(23,46),(24,14),(25,1),(25,35),(26,18),(26,43),(27,15),(27,41),(28,15),(28,43),(29,26),(29,40),(30,16),(30,39),(31,14),(31,42),(32,16),(32,23),(33,20),(33,36),(34,24),(34,31),(35,21),(35,33),(36,27),(36,28),(36,40),(37,22),(37,23),(37,39),(38,30),(38,32),(38,37),(39,34),(39,46),(40,41),(40,43),(41,44),(42,45),(43,42),(43,44),(44,45),(46,24)],47)
[[1,1,1,2,5],[2,2,2,5],[3,4,5],[4,5],[5]]=>([(0,8),(0,9),(0,19),(1,42),(2,4),(2,20),(2,29),(3,50),(4,5),(4,52),(5,3),(5,53),(6,11),(6,35),(7,12),(7,31),(8,7),(8,34),(9,2),(9,33),(10,18),(10,46),(10,48),(11,27),(11,28),(12,25),(12,47),(13,15),(13,43),(13,44),(14,16),(14,26),(14,45),(15,17),(15,41),(15,51),(16,24),(16,40),(17,23),(17,39),(18,22),(18,32),(19,33),(19,34),(20,38),(20,47),(20,52),(21,55),(22,54),(23,57),(24,56),(25,62),(26,6),(26,63),(27,58),(28,58),(29,1),(29,38),(30,27),(30,60),(31,25),(32,26),(32,54),(33,29),(34,31),(35,28),(36,43),(37,21),(37,61),(38,42),(38,62),(39,30),(39,57),(40,30),(40,56),(41,23),(41,59),(42,13),(42,36),(43,41),(43,55),(44,51),(44,55),(45,24),(45,63),(46,22),(46,61),(47,49),(47,62),(48,14),(48,32),(48,61),(49,37),(49,46),(50,21),(50,44),(51,39),(51,40),(51,59),(52,10),(52,49),(52,53),(53,37),(53,48),(53,50),(54,63),(55,59),(56,60),(57,60),(59,56),(59,57),(60,58),(61,45),(61,54),(62,36),(63,35)],64)
[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1,1,2,3,4],[2,2,3,4],[3,4,5],[4,5],[5]]=>([(0,15),(0,16),(0,30),(1,26),(2,14),(2,95),(3,78),(4,79),(5,92),(6,77),(7,29),(7,93),(8,27),(8,96),(9,28),(9,94),(10,12),(10,32),(10,80),(11,84),(12,13),(12,86),(13,11),(13,97),(14,19),(14,98),(15,10),(15,54),(16,2),(16,24),(16,76),(17,47),(17,71),(18,46),(18,72),(19,41),(19,91),(20,35),(20,73),(21,69),(21,87),(22,25),(22,75),(22,90),(23,45),(23,70),(24,31),(24,88),(24,95),(25,49),(25,50),(26,39),(26,40),(27,52),(27,53),(28,41),(28,89),(29,33),(29,57),(30,54),(30,76),(31,67),(31,68),(31,85),(32,56),(32,68),(32,86),(33,110),(34,106),(34,107),(35,21),(35,111),(36,100),(37,101),(37,106),(38,102),(39,102),(40,102),(41,99),(42,104),(43,113),(44,103),(45,6),(45,112),(46,7),(46,108),(47,5),(47,107),(48,3),(48,103),(49,55),(49,105),(50,33),(50,105),(51,61),(52,63),(53,61),(54,80),(55,52),(55,113),(56,79),(56,109),(57,60),(57,110),(58,90),(59,81),(60,62),(61,39),(62,40),(63,38),(64,38),(65,37),(65,111),(66,36),(66,108),(67,82),(67,109),(68,83),(68,109),(69,59),(70,48),(70,112),(71,42),(71,107),(72,69),(72,108),(73,23),(73,74),(73,111),(74,45),(74,101),(75,50),(75,100),(76,9),(76,88),(77,51),(78,62),(79,22),(79,58),(80,4),(80,56),(81,60),(81,78),(82,34),(82,47),(83,66),(83,72),(84,36),(84,75),(85,35),(85,65),(86,18),(86,83),(86,97),(87,44),(87,48),(88,67),(88,94),(89,34),(89,71),(89,99),(90,49),(90,92),(90,100),(91,37),(91,74),(91,99),(92,43),(92,55),(93,57),(93,81),(94,17),(94,82),(94,89),(95,20),(95,85),(95,98),(96,51),(96,53),(97,46),(97,66),(97,84),(98,65),(98,73),(98,91),(99,42),(99,106),(100,43),(100,105),(101,44),(101,112),(103,1),(104,96),(105,110),(105,113),(106,104),(107,8),(107,104),(108,59),(108,93),(109,58),(110,64),(111,70),(111,87),(111,101),(112,77),(112,103),(113,63),(113,64)],114)
[[1,1,1,1,1],[2,2,4,4],[3,4,5],[4,5],[5]]=>([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16)
[[1,1,1,1,4],[2,2,4,4],[3,4,5],[4,5],[5]]=>([(0,9),(0,10),(1,2),(3,7),(3,23),(4,6),(4,22),(5,15),(6,16),(7,8),(7,24),(8,20),(9,19),(10,4),(10,19),(11,14),(11,18),(12,26),(13,26),(14,25),(15,1),(16,21),(17,13),(17,25),(18,12),(18,25),(19,3),(19,22),(20,12),(20,13),(21,14),(21,17),(22,16),(22,23),(23,11),(23,21),(23,24),(24,17),(24,18),(24,20),(25,5),(25,26),(26,15)],27)
[[1,1,1,1,1],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,1,1,1,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,17),(0,18),(1,11),(1,12),(2,53),(3,50),(4,33),(5,16),(5,65),(6,13),(6,61),(7,14),(7,62),(8,15),(8,51),(9,25),(9,63),(10,24),(10,52),(11,54),(12,22),(12,23),(12,54),(13,36),(14,35),(15,40),(16,59),(17,1),(17,48),(18,7),(18,48),(19,32),(19,45),(20,29),(20,38),(21,55),(21,58),(22,49),(22,60),(23,42),(23,49),(24,31),(24,46),(25,21),(25,60),(25,64),(27,70),(28,70),(29,67),(30,66),(31,68),(32,3),(32,69),(33,8),(34,39),(35,57),(36,39),(37,32),(37,66),(38,19),(38,37),(38,67),(39,26),(40,26),(41,30),(41,67),(42,52),(43,44),(43,68),(44,28),(44,69),(45,27),(45,69),(46,53),(46,68),(47,61),(48,9),(48,62),(49,5),(49,56),(50,34),(51,40),(52,2),(52,46),(53,6),(53,47),(54,10),(54,42),(55,31),(55,43),(56,43),(56,65),(57,29),(57,41),(58,30),(58,37),(59,27),(59,28),(60,55),(60,56),(61,34),(61,36),(62,35),(62,63),(63,20),(63,57),(63,64),(64,38),(64,41),(64,58),(65,44),(65,45),(65,59),(66,33),(67,4),(67,66),(68,47),(69,50),(69,70),(70,51)],71)
[[1,1,1,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,3),(2,1),(3,5),(3,8),(4,11),(4,46),(5,10),(5,47),(6,9),(6,45),(7,13),(7,37),(8,14),(8,15),(8,47),(9,39),(10,44),(11,38),(12,24),(12,25),(13,32),(13,33),(14,27),(14,41),(15,27),(15,40),(16,20),(16,26),(16,29),(17,49),(18,58),(19,60),(20,48),(20,59),(21,52),(22,48),(22,54),(23,54),(23,59),(24,51),(25,51),(26,7),(26,48),(27,6),(27,50),(28,17),(28,60),(29,35),(29,59),(30,19),(30,53),(31,18),(31,52),(32,18),(32,55),(33,30),(33,55),(34,17),(34,61),(35,42),(35,56),(36,21),(36,57),(37,33),(38,19),(38,28),(39,21),(39,31),(40,23),(40,29),(40,50),(41,22),(41,26),(41,50),(42,31),(42,32),(42,57),(43,28),(43,34),(43,53),(44,20),(44,22),(44,23),(45,36),(45,39),(45,42),(46,30),(46,38),(46,43),(47,16),(47,40),(47,41),(47,44),(48,37),(49,51),(50,35),(50,45),(50,54),(51,2),(52,34),(52,58),(53,12),(53,60),(53,61),(54,36),(54,56),(55,53),(55,58),(56,46),(56,57),(57,43),(57,52),(57,55),(58,61),(59,4),(59,56),(60,24),(60,49),(61,25),(61,49)],62)
[[1,1,1,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,3),(0,4),(1,14),(1,22),(2,9),(3,1),(4,7),(4,11),(5,15),(5,91),(6,76),(7,27),(7,28),(7,96),(8,29),(8,75),(9,47),(10,25),(10,95),(11,24),(11,96),(12,26),(12,89),(13,16),(13,94),(14,17),(14,90),(15,51),(16,82),(17,81),(18,66),(18,84),(19,21),(19,67),(19,85),(20,45),(20,74),(21,48),(21,49),(22,60),(22,90),(23,41),(23,46),(24,60),(24,93),(25,56),(25,77),(26,69),(26,70),(27,42),(27,79),(28,42),(28,80),(29,34),(29,54),(30,39),(30,44),(30,65),(31,115),(32,115),(33,108),(34,97),(35,113),(35,114),(36,116),(37,109),(37,114),(38,117),(39,18),(39,109),(39,113),(40,100),(41,103),(42,13),(42,112),(43,8),(44,12),(44,113),(45,5),(45,101),(46,6),(46,103),(48,57),(48,99),(49,45),(49,99),(50,86),(50,98),(51,83),(52,63),(52,97),(53,75),(54,64),(54,97),(55,47),(56,59),(57,56),(57,111),(58,53),(58,111),(59,52),(60,78),(61,40),(61,116),(62,33),(62,107),(63,31),(63,110),(64,32),(64,110),(65,50),(65,109),(66,43),(67,20),(67,49),(67,117),(68,71),(68,105),(69,40),(69,106),(70,68),(70,106),(71,34),(71,102),(72,33),(72,102),(73,36),(73,104),(74,53),(74,101),(75,54),(76,55),(77,71),(77,72),(78,38),(78,85),(79,37),(79,65),(79,112),(80,35),(80,44),(80,112),(81,38),(81,67),(82,36),(82,61),(83,31),(83,32),(84,57),(84,58),(85,48),(85,84),(85,117),(86,61),(86,69),(86,104),(87,52),(87,92),(88,62),(88,72),(88,105),(89,43),(89,70),(90,19),(90,78),(90,81),(91,51),(91,92),(92,63),(92,64),(92,83),(93,35),(93,37),(93,39),(94,73),(94,82),(94,86),(95,68),(95,77),(95,88),(96,30),(96,79),(96,80),(96,93),(97,110),(98,95),(98,104),(99,101),(99,111),(100,107),(101,87),(101,91),(102,46),(102,108),(103,2),(104,88),(104,106),(104,116),(105,23),(105,102),(105,107),(106,100),(106,105),(107,41),(107,108),(108,103),(109,10),(109,98),(110,76),(110,115),(111,59),(111,87),(112,50),(112,94),(112,114),(113,66),(113,89),(114,73),(114,98),(115,55),(116,62),(116,100),(117,58),(117,74),(117,99)],118)
[[1,1,2,2,2],[2,2,4,4],[3,4,5],[4,5],[5]]=>([(0,1),(1,4),(1,5),(2,8),(2,32),(3,6),(3,30),(4,7),(4,33),(5,10),(5,11),(5,33),(6,20),(7,31),(8,27),(9,15),(9,19),(10,18),(10,28),(11,18),(11,25),(13,39),(14,36),(14,39),(15,36),(16,38),(17,38),(18,2),(18,37),(19,26),(19,36),(20,21),(21,12),(22,12),(23,17),(23,35),(24,16),(24,35),(25,13),(25,37),(26,24),(26,34),(27,16),(27,17),(28,14),(28,19),(28,37),(29,21),(29,22),(30,20),(30,29),(31,13),(31,14),(31,15),(32,23),(32,24),(32,27),(33,9),(33,25),(33,28),(33,31),(34,30),(34,35),(35,29),(35,38),(36,3),(36,34),(37,26),(37,32),(37,39),(38,22),(39,23),(39,34)],40)
[[1,1,2,2,4],[2,2,4,4],[3,4,5],[4,5],[5]]=>([(0,7),(0,8),(1,2),(1,45),(2,35),(3,37),(4,14),(4,49),(5,9),(5,48),(6,10),(6,12),(6,54),(7,31),(8,6),(8,13),(8,31),(9,27),(9,42),(10,28),(10,41),(11,26),(11,52),(12,17),(12,28),(12,51),(13,15),(13,50),(13,54),(14,16),(14,40),(14,53),(15,33),(15,44),(16,38),(16,47),(17,30),(17,40),(19,64),(19,66),(20,62),(21,65),(22,58),(23,60),(23,66),(24,60),(24,63),(25,67),(26,55),(27,59),(28,5),(28,56),(29,34),(30,22),(30,57),(31,4),(31,50),(32,22),(32,65),(33,43),(34,18),(35,18),(36,20),(37,1),(37,46),(38,27),(38,61),(39,19),(39,55),(39,58),(40,38),(40,57),(41,21),(41,56),(42,20),(42,59),(43,26),(43,39),(44,21),(44,32),(45,34),(45,35),(46,29),(46,45),(47,19),(47,23),(47,61),(48,36),(48,42),(49,11),(49,43),(49,53),(50,33),(50,49),(51,30),(51,32),(51,56),(52,23),(52,24),(52,55),(53,39),(53,47),(53,52),(53,57),(54,41),(54,44),(54,51),(55,3),(55,63),(55,66),(56,48),(56,65),(57,24),(57,58),(57,61),(58,63),(58,64),(59,25),(59,62),(60,25),(60,68),(61,59),(61,60),(61,64),(62,67),(63,68),(64,62),(64,68),(65,36),(66,37),(66,68),(67,29),(68,46),(68,67)],69)
[[1,1,2,2,2],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,2),(0,3),(1,7),(1,14),(2,1),(3,6),(3,8),(4,10),(4,62),(5,16),(5,59),(6,9),(6,63),(7,44),(8,17),(8,18),(8,63),(9,60),(10,46),(11,35),(11,36),(12,15),(12,53),(12,61),(13,24),(13,37),(14,44),(14,54),(15,27),(15,51),(16,26),(16,39),(17,33),(17,34),(18,34),(18,52),(18,54),(19,75),(20,74),(21,78),(22,77),(23,76),(23,77),(24,76),(25,68),(26,67),(27,29),(28,25),(28,78),(29,42),(30,20),(30,73),(31,20),(32,19),(32,72),(33,22),(33,64),(34,12),(34,45),(34,64),(35,38),(35,66),(36,40),(36,66),(37,11),(37,57),(37,76),(38,25),(38,71),(39,30),(39,67),(40,26),(40,70),(41,32),(41,70),(42,19),(42,68),(43,21),(43,69),(44,4),(44,47),(45,50),(45,53),(46,40),(46,41),(47,50),(47,62),(48,29),(48,55),(49,41),(49,55),(49,66),(50,48),(50,49),(51,21),(51,28),(52,23),(52,37),(52,64),(53,27),(53,48),(54,45),(54,47),(55,32),(55,42),(55,71),(56,28),(56,38),(56,69),(57,35),(57,56),(57,65),(58,30),(58,31),(59,39),(59,58),(60,22),(60,23),(60,24),(61,43),(61,51),(61,56),(62,36),(62,46),(62,49),(63,13),(63,33),(63,52),(63,60),(64,57),(64,61),(64,77),(65,59),(65,69),(66,70),(66,71),(67,73),(68,75),(69,58),(69,78),(70,67),(70,72),(71,68),(71,72),(72,73),(72,75),(73,74),(75,74),(76,5),(76,65),(77,43),(77,65),(78,31)],79)
[[1,1,2,2,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,14),(0,15),(1,10),(1,11),(2,87),(3,13),(3,113),(4,89),(5,31),(5,107),(6,25),(6,108),(7,27),(7,29),(7,114),(8,24),(8,88),(9,12),(9,115),(10,90),(11,26),(11,28),(11,90),(12,112),(13,93),(14,1),(14,86),(15,7),(15,20),(15,86),(16,70),(16,71),(17,83),(17,84),(18,69),(18,99),(19,22),(19,82),(19,104),(20,23),(20,98),(20,114),(21,42),(21,100),(22,74),(22,75),(23,62),(23,95),(24,55),(24,58),(25,54),(25,56),(26,57),(26,85),(27,47),(27,66),(28,85),(28,109),(29,18),(29,47),(29,92),(30,81),(30,97),(30,103),(31,30),(31,99),(31,109),(31,110),(32,138),(33,147),(34,146),(35,117),(36,117),(36,147),(37,140),(37,148),(38,139),(39,137),(40,136),(41,150),(42,142),(43,125),(44,129),(45,135),(46,127),(46,151),(47,6),(47,116),(48,71),(48,148),(48,151),(49,64),(50,77),(50,152),(51,73),(51,150),(52,43),(53,65),(54,96),(54,153),(55,76),(55,118),(56,43),(56,153),(57,88),(58,89),(58,118),(59,67),(59,149),(60,68),(60,118),(60,149),(61,59),(61,144),(62,94),(63,44),(63,146),(64,32),(64,133),(65,38),(65,132),(66,34),(66,116),(67,35),(67,145),(68,36),(68,143),(68,145),(69,44),(69,119),(70,33),(70,143),(71,17),(71,91),(71,143),(72,78),(72,130),(73,45),(73,123),(74,32),(74,121),(75,40),(75,121),(76,41),(76,126),(77,39),(77,123),(78,40),(78,124),(79,38),(79,124),(80,37),(80,129),(80,142),(81,54),(81,122),(81,144),(82,75),(82,131),(83,72),(83,128),(84,39),(84,128),(85,9),(85,111),(86,5),(86,98),(87,19),(87,101),(88,4),(88,58),(89,3),(89,106),(90,8),(90,57),(91,77),(91,84),(91,120),(92,63),(92,69),(92,116),(93,78),(93,79),(94,42),(94,80),(95,34),(95,63),(96,41),(96,51),(97,55),(97,60),(97,144),(98,62),(98,107),(99,61),(99,81),(99,119),(100,16),(100,46),(100,48),(100,142),(101,49),(101,104),(102,65),(102,79),(102,130),(103,37),(103,48),(103,122),(104,64),(104,74),(104,131),(105,53),(105,102),(106,105),(106,113),(107,21),(107,94),(107,110),(108,52),(108,56),(109,61),(109,97),(109,111),(110,80),(110,100),(110,103),(110,119),(111,59),(111,60),(111,115),(112,33),(112,35),(112,36),(113,72),(113,93),(113,102),(114,66),(114,92),(114,95),(115,67),(115,68),(115,70),(115,112),(116,108),(116,146),(117,45),(117,134),(118,106),(118,126),(119,46),(119,122),(119,129),(120,123),(120,128),(120,134),(121,136),(121,138),(122,140),(122,151),(122,153),(123,135),(123,137),(124,136),(124,139),(125,152),(126,105),(126,150),(127,154),(128,130),(128,137),(129,127),(129,140),(130,124),(130,132),(131,121),(131,133),(132,139),(133,138),(134,131),(134,135),(135,133),(136,141),(137,132),(138,141),(139,141),(140,125),(140,154),(142,2),(142,127),(142,148),(143,83),(143,120),(143,147),(144,76),(144,96),(144,149),(145,73),(145,117),(145,120),(146,52),(147,82),(147,134),(148,87),(148,154),(149,51),(149,126),(149,145),(150,53),(151,50),(151,91),(151,154),(152,49),(153,50),(153,125),(154,101),(154,152)],155)
[[1,1,2,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,2),(0,3),(1,8),(1,16),(2,1),(3,7),(3,10),(4,13),(4,59),(5,12),(5,81),(6,20),(6,82),(7,11),(7,83),(8,60),(9,23),(9,58),(10,19),(10,22),(10,83),(11,78),(12,64),(13,24),(14,52),(14,72),(15,17),(15,73),(15,80),(16,60),(16,74),(17,39),(17,70),(18,36),(18,44),(19,51),(19,69),(20,33),(20,75),(21,28),(21,38),(21,50),(22,51),(22,71),(22,74),(23,49),(23,56),(23,57),(25,101),(26,113),(27,107),(27,110),(28,107),(28,111),(29,110),(29,111),(30,112),(31,90),(31,98),(32,94),(32,114),(33,96),(34,91),(34,92),(35,89),(35,92),(36,108),(37,94),(37,103),(38,9),(38,111),(39,45),(40,31),(40,102),(40,114),(41,31),(41,104),(42,37),(42,99),(43,34),(43,85),(43,87),(44,30),(44,108),(45,55),(46,33),(46,86),(47,48),(47,86),(48,25),(48,100),(49,42),(49,85),(50,14),(50,76),(50,107),(51,15),(51,61),(51,84),(52,46),(52,109),(53,32),(53,93),(54,26),(54,95),(55,25),(55,91),(56,35),(56,85),(56,97),(57,53),(57,97),(58,57),(59,24),(60,5),(60,63),(61,67),(61,73),(62,34),(62,35),(62,113),(63,67),(63,81),(64,46),(64,47),(65,45),(65,68),(66,47),(66,68),(66,109),(67,65),(67,66),(68,48),(68,55),(68,87),(69,29),(69,38),(69,84),(70,26),(70,62),(71,27),(71,50),(71,84),(72,43),(72,49),(72,109),(73,39),(73,65),(74,61),(74,63),(75,32),(75,40),(75,96),(76,72),(76,79),(76,88),(77,40),(77,41),(77,93),(78,27),(78,28),(78,29),(79,43),(79,56),(79,62),(79,95),(80,54),(80,70),(80,79),(81,52),(81,64),(81,66),(82,53),(82,75),(82,77),(83,21),(83,69),(83,71),(83,78),(84,76),(84,80),(84,110),(85,92),(85,99),(86,37),(86,96),(86,100),(87,91),(87,99),(87,100),(88,82),(88,95),(89,104),(90,108),(90,116),(91,101),(91,106),(92,106),(93,18),(93,104),(93,114),(94,115),(95,77),(95,97),(95,113),(96,94),(96,102),(97,89),(97,93),(98,116),(99,103),(99,106),(100,101),(100,102),(100,103),(101,98),(101,105),(102,98),(102,115),(103,105),(103,115),(104,36),(104,90),(105,116),(106,105),(107,6),(107,88),(108,4),(108,112),(109,42),(109,86),(109,87),(110,54),(110,88),(111,58),(112,59),(113,41),(113,89),(114,44),(114,90),(114,115),(115,30),(115,116),(116,112)],117)
[[1,1,2,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>([(0,4),(0,15),(0,16),(1,34),(2,7),(2,32),(3,14),(3,33),(4,11),(4,12),(5,147),(6,38),(6,125),(7,5),(7,114),(8,39),(8,161),(9,30),(9,158),(10,31),(10,96),(11,29),(11,159),(12,28),(12,41),(12,159),(13,24),(13,75),(14,20),(14,21),(14,156),(15,2),(15,54),(16,3),(16,54),(17,68),(17,119),(18,115),(18,120),(19,113),(19,149),(20,122),(20,154),(21,122),(21,164),(22,111),(22,145),(23,67),(23,116),(24,65),(24,66),(25,42),(25,117),(25,148),(26,37),(26,152),(26,163),(27,35),(27,150),(27,155),(28,118),(28,153),(29,121),(29,162),(30,110),(30,146),(31,109),(31,112),(32,114),(32,151),(33,121),(33,156),(34,36),(34,147),(34,164),(35,79),(35,81),(36,84),(36,134),(37,80),(37,137),(38,95),(38,106),(38,107),(39,58),(39,94),(39,139),(40,52),(40,64),(40,108),(41,118),(41,132),(41,151),(42,76),(42,77),(42,78),(43,211),(44,202),(45,173),(45,214),(46,168),(47,167),(47,168),(48,217),(49,212),(49,215),(50,174),(50,215),(51,218),(52,6),(52,212),(53,10),(54,1),(55,176),(56,176),(56,211),(57,192),(57,203),(58,173),(58,186),(59,177),(59,187),(60,175),(60,177),(61,214),(62,193),(63,182),(63,200),(64,22),(64,174),(64,212),(65,181),(66,181),(67,180),(68,179),(69,96),(70,57),(70,199),(70,213),(71,60),(71,169),(71,171),(72,100),(72,206),(73,58),(73,172),(74,66),(74,197),(75,65),(76,83),(76,170),(77,91),(77,167),(78,120),(78,167),(78,170),(79,88),(80,87),(81,136),(82,67),(82,216),(83,94),(83,208),(84,110),(84,210),(85,69),(85,208),(86,63),(86,198),(87,105),(88,55),(89,93),(89,172),(90,46),(90,210),(91,45),(91,196),(92,43),(92,209),(93,44),(93,195),(94,101),(94,173),(95,86),(95,169),(96,112),(97,102),(97,166),(97,188),(98,103),(98,188),(99,57),(99,191),(100,109),(100,182),(100,213),(101,97),(101,184),(102,56),(102,183),(102,209),(103,55),(103,183),(104,48),(104,185),(105,44),(105,175),(106,59),(106,169),(106,190),(107,72),(107,190),(108,19),(108,144),(108,174),(109,62),(109,166),(110,135),(111,53),(112,92),(112,166),(113,73),(113,207),(114,9),(114,126),(115,69),(115,178),(116,74),(116,180),(117,18),(117,78),(117,218),(118,26),(118,123),(118,165),(119,23),(119,82),(119,179),(120,27),(120,140),(120,178),(121,133),(122,138),(123,130),(123,152),(124,88),(124,103),(125,53),(125,107),(126,130),(126,158),(127,59),(127,60),(127,217),(128,87),(128,131),(129,89),(129,131),(129,207),(130,128),(130,129),(131,93),(131,105),(131,171),(132,50),(132,108),(132,165),(133,51),(133,148),(134,47),(134,77),(134,210),(135,45),(135,61),(136,43),(136,56),(137,48),(137,127),(138,46),(138,47),(139,70),(139,100),(139,186),(140,143),(140,150),(141,70),(141,99),(141,206),(142,97),(142,157),(143,98),(143,124),(144,149),(144,160),(144,189),(145,83),(145,85),(146,73),(146,89),(147,84),(147,90),(148,76),(148,145),(148,218),(149,71),(149,95),(149,207),(150,79),(150,124),(151,123),(151,126),(152,80),(152,128),(153,49),(153,52),(153,165),(154,51),(154,117),(155,81),(155,157),(156,25),(156,133),(156,154),(157,92),(157,102),(157,136),(158,113),(158,129),(158,146),(159,40),(159,132),(159,153),(159,162),(160,71),(160,106),(160,127),(160,185),(161,72),(161,139),(161,141),(162,49),(162,50),(162,64),(163,104),(163,137),(163,160),(164,90),(164,134),(164,138),(165,144),(165,163),(165,215),(166,193),(166,209),(167,140),(167,196),(168,61),(168,196),(169,177),(169,198),(170,178),(170,208),(171,175),(171,195),(171,198),(172,63),(172,186),(172,195),(173,184),(174,8),(174,189),(175,202),(175,204),(176,194),(177,204),(178,142),(178,155),(179,13),(179,216),(180,197),(182,62),(182,220),(183,176),(183,201),(184,188),(185,141),(185,190),(185,217),(186,182),(186,199),(187,191),(188,183),(188,193),(189,161),(189,185),(190,187),(190,206),(191,68),(191,192),(192,179),(192,219),(193,201),(194,197),(195,199),(195,200),(195,202),(196,143),(196,214),(197,181),(198,200),(198,204),(199,203),(199,220),(200,205),(200,220),(201,180),(201,194),(202,203),(202,205),(203,219),(204,205),(205,219),(206,17),(206,191),(206,213),(207,86),(207,171),(207,172),(208,101),(208,142),(209,116),(209,201),(209,211),(210,91),(210,135),(210,168),(211,74),(211,194),(212,111),(212,125),(213,119),(213,192),(213,220),(214,98),(214,184),(215,104),(215,189),(216,75),(217,99),(217,187),(218,85),(218,115),(218,170),(219,216),(220,82),(220,219)],221)
[[1,1,1,1,1],[2,3,3,3],[3,4,4],[4,5],[5]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,1,3],[2,3,3,3],[3,4,4],[4,5],[5]]=>([(0,4),(0,8),(1,11),(3,10),(4,9),(5,2),(6,3),(6,12),(7,5),(8,6),(8,9),(9,12),(10,11),(11,7),(12,1),(12,10)],13)
[[1,1,1,1,1],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,5),(0,10),(1,16),(2,15),(3,14),(4,13),(5,12),(6,2),(6,13),(7,4),(7,14),(8,1),(9,6),(10,11),(10,12),(11,3),(11,7),(12,9),(13,15),(14,8),(15,16)],17)
[[1,1,1,1,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,17),(0,18),(1,21),(2,20),(3,28),(4,27),(5,23),(6,24),(7,2),(7,30),(8,1),(8,31),(9,15),(10,16),(11,13),(11,32),(12,14),(12,33),(13,3),(13,22),(14,4),(14,22),(15,5),(15,25),(16,6),(16,26),(17,7),(17,19),(18,8),(18,19),(19,30),(19,31),(20,32),(21,33),(22,27),(22,28),(23,29),(24,29),(25,23),(26,24),(27,25),(28,26),(30,11),(30,20),(31,12),(31,21),(32,9),(33,10)],34)
[[1,1,1,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,9),(0,10),(1,2),(3,7),(3,23),(4,6),(4,22),(5,15),(6,16),(7,8),(7,24),(8,20),(9,19),(10,4),(10,19),(11,14),(11,18),(12,26),(13,26),(14,25),(15,1),(16,21),(17,13),(17,25),(18,12),(18,25),(19,3),(19,22),(20,12),(20,13),(21,14),(21,17),(22,16),(22,23),(23,11),(23,21),(23,24),(24,17),(24,18),(24,20),(25,5),(25,26),(26,15)],27)
[[1,1,1,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,15),(0,16),(0,20),(1,9),(2,13),(2,47),(3,38),(4,14),(4,46),(5,40),(6,10),(6,26),(7,18),(7,45),(8,19),(8,39),(9,25),(10,32),(11,31),(12,44),(13,12),(13,48),(14,11),(14,42),(15,8),(15,28),(16,7),(16,37),(17,24),(17,33),(18,21),(18,36),(19,21),(19,35),(20,28),(20,37),(21,51),(22,49),(23,49),(24,3),(24,50),(26,1),(27,25),(28,39),(29,46),(30,27),(31,30),(32,27),(33,23),(33,50),(34,22),(34,50),(35,40),(35,51),(36,41),(36,51),(37,2),(37,45),(38,43),(39,5),(39,35),(40,4),(40,29),(41,24),(41,34),(42,31),(42,43),(43,30),(43,32),(44,22),(44,23),(45,36),(45,47),(46,38),(46,42),(47,17),(47,41),(47,48),(48,33),(48,34),(48,44),(49,26),(50,6),(50,49),(51,29)],52)
[[1,1,1,1,1],[2,3,3,3],[3,4,5],[4,5],[5]]=>([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15)
[[1,1,1,1,3],[2,3,3,3],[3,4,5],[4,5],[5]]=>([(0,7),(0,8),(0,11),(1,23),(2,5),(2,20),(3,10),(3,21),(4,9),(4,22),(5,6),(5,15),(6,12),(7,4),(7,17),(8,3),(8,16),(9,14),(9,18),(10,13),(10,14),(11,16),(11,17),(13,24),(14,24),(15,12),(16,21),(17,22),(18,23),(18,24),(19,20),(20,15),(21,13),(22,1),(22,18),(23,2),(23,19),(24,19)],25)
[[1,1,1,1,1],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,14),(0,15),(1,19),(2,18),(3,29),(4,30),(5,22),(6,23),(7,24),(7,25),(8,9),(9,7),(9,18),(9,19),(10,5),(11,6),(12,2),(12,29),(13,1),(13,30),(14,16),(14,28),(15,17),(15,28),(16,3),(16,12),(17,4),(17,13),(18,24),(18,27),(19,25),(19,27),(20,26),(21,26),(22,20),(23,21),(24,22),(24,31),(25,23),(25,31),(27,31),(28,8),(29,10),(30,11),(31,20),(31,21)],32)
[[1,1,1,1,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,20),(0,21),(1,11),(2,10),(3,27),(3,36),(4,16),(4,34),(5,17),(5,35),(6,26),(6,52),(7,12),(7,53),(8,13),(8,55),(9,15),(9,25),(9,54),(10,51),(11,14),(11,63),(12,38),(13,39),(14,60),(15,19),(15,50),(16,18),(16,64),(17,56),(18,59),(19,22),(19,57),(20,9),(20,58),(21,8),(21,58),(22,47),(22,61),(23,31),(23,46),(24,45),(24,48),(25,37),(25,50),(26,24),(26,49),(26,62),(27,23),(27,61),(27,64),(29,68),(30,68),(31,67),(32,65),(33,69),(34,1),(35,2),(36,6),(37,36),(38,35),(39,34),(40,32),(40,67),(41,51),(41,69),(42,28),(43,28),(44,29),(45,41),(45,66),(46,63),(46,67),(47,52),(48,30),(48,66),(49,48),(49,65),(50,7),(50,57),(51,43),(52,62),(53,5),(53,38),(54,3),(54,37),(55,4),(55,39),(56,33),(56,41),(57,47),(57,53),(58,54),(58,55),(59,32),(59,49),(60,29),(60,30),(61,31),(61,40),(62,45),(62,56),(62,65),(63,44),(63,60),(64,40),(64,46),(64,59),(65,33),(65,66),(66,68),(66,69),(67,44),(68,42),(69,42),(69,43)],70)
[[1,1,1,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,7),(0,8),(1,2),(1,45),(2,35),(3,37),(4,14),(4,49),(5,9),(5,48),(6,10),(6,12),(6,54),(7,31),(8,6),(8,13),(8,31),(9,27),(9,42),(10,28),(10,41),(11,26),(11,52),(12,17),(12,28),(12,51),(13,15),(13,50),(13,54),(14,16),(14,40),(14,53),(15,33),(15,44),(16,38),(16,47),(17,30),(17,40),(19,64),(19,66),(20,62),(21,65),(22,58),(23,60),(23,66),(24,60),(24,63),(25,67),(26,55),(27,59),(28,5),(28,56),(29,34),(30,22),(30,57),(31,4),(31,50),(32,22),(32,65),(33,43),(34,18),(35,18),(36,20),(37,1),(37,46),(38,27),(38,61),(39,19),(39,55),(39,58),(40,38),(40,57),(41,21),(41,56),(42,20),(42,59),(43,26),(43,39),(44,21),(44,32),(45,34),(45,35),(46,29),(46,45),(47,19),(47,23),(47,61),(48,36),(48,42),(49,11),(49,43),(49,53),(50,33),(50,49),(51,30),(51,32),(51,56),(52,23),(52,24),(52,55),(53,39),(53,47),(53,52),(53,57),(54,41),(54,44),(54,51),(55,3),(55,63),(55,66),(56,48),(56,65),(57,24),(57,58),(57,61),(58,63),(58,64),(59,25),(59,62),(60,25),(60,68),(61,59),(61,60),(61,64),(62,67),(63,68),(64,62),(64,68),(65,36),(66,37),(66,68),(67,29),(68,46),(68,67)],69)
[[1,1,1,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,16),(0,17),(0,28),(1,9),(2,70),(3,13),(3,85),(4,27),(4,69),(5,83),(6,15),(6,43),(7,26),(7,84),(8,12),(8,29),(8,71),(9,68),(10,77),(11,76),(12,14),(12,78),(13,10),(13,86),(14,11),(14,87),(15,75),(16,8),(16,48),(17,7),(17,67),(18,42),(18,61),(19,25),(19,62),(19,63),(20,22),(20,59),(20,79),(21,24),(21,41),(21,60),(22,23),(22,80),(22,81),(23,64),(23,66),(24,37),(24,65),(25,36),(25,46),(26,50),(26,58),(27,31),(27,32),(28,48),(28,67),(29,57),(29,58),(29,78),(31,103),(32,103),(33,89),(34,89),(35,90),(36,88),(37,92),(38,102),(39,93),(40,101),(41,4),(41,100),(42,5),(42,97),(43,1),(44,53),(45,51),(45,95),(46,41),(46,88),(47,54),(48,71),(49,79),(50,73),(50,98),(51,68),(51,102),(52,31),(52,96),(53,30),(54,30),(55,33),(55,97),(56,35),(56,99),(57,70),(57,98),(58,74),(58,98),(59,81),(59,90),(60,37),(60,100),(61,34),(61,97),(62,36),(62,99),(63,21),(63,46),(63,99),(64,52),(64,91),(65,52),(65,92),(66,45),(66,91),(67,3),(67,84),(68,47),(69,32),(70,20),(70,49),(71,2),(71,57),(72,53),(72,54),(73,42),(73,55),(74,56),(74,62),(75,38),(75,51),(76,35),(76,59),(77,33),(77,34),(78,19),(78,74),(78,87),(79,80),(79,83),(79,90),(80,66),(80,82),(80,94),(81,64),(81,65),(81,94),(82,45),(82,75),(82,93),(83,39),(83,82),(84,50),(84,85),(85,18),(85,73),(85,86),(86,55),(86,61),(86,77),(87,56),(87,63),(87,76),(88,100),(89,43),(90,39),(90,94),(91,95),(91,96),(92,40),(92,96),(93,38),(93,40),(93,95),(94,91),(94,92),(94,93),(95,101),(95,102),(96,101),(96,103),(97,6),(97,89),(98,49),(99,60),(99,88),(100,69),(101,44),(101,72),(102,47),(102,72),(103,44)],104)
[[1,1,1,1,1],[2,3,4,4],[3,4,5],[4,5],[5]]=>([(0,13),(0,15),(1,17),(2,16),(2,17),(3,19),(4,16),(4,18),(5,22),(6,21),(7,20),(8,23),(8,29),(9,4),(9,28),(10,3),(10,28),(11,6),(12,7),(12,24),(13,14),(14,1),(14,2),(15,9),(15,10),(16,25),(17,12),(17,25),(18,26),(18,29),(19,23),(19,26),(20,27),(22,27),(23,30),(24,20),(24,22),(25,24),(26,30),(27,21),(28,8),(28,18),(28,19),(29,5),(29,30),(30,11)],31)
[[1,1,1,1,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>([(0,15),(0,16),(0,20),(1,9),(2,13),(2,47),(3,38),(4,14),(4,46),(5,40),(6,10),(6,26),(7,18),(7,45),(8,19),(8,39),(9,25),(10,32),(11,31),(12,44),(13,12),(13,48),(14,11),(14,42),(15,8),(15,28),(16,7),(16,37),(17,24),(17,33),(18,21),(18,36),(19,21),(19,35),(20,28),(20,37),(21,51),(22,49),(23,49),(24,3),(24,50),(26,1),(27,25),(28,39),(29,46),(30,27),(31,30),(32,27),(33,23),(33,50),(34,22),(34,50),(35,40),(35,51),(36,41),(36,51),(37,2),(37,45),(38,43),(39,5),(39,35),(40,4),(40,29),(41,24),(41,34),(42,31),(42,43),(43,30),(43,32),(44,22),(44,23),(45,36),(45,47),(46,38),(46,42),(47,17),(47,41),(47,48),(48,33),(48,34),(48,44),(49,26),(50,6),(50,49),(51,29)],52)
[[1,1,1,1,1],[2,3,4,5],[3,4,5],[4,5],[5]]=>([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)
[[1,1,1,1,2],[2,3,4,5],[3,4,5],[4,5],[5]]=>([(0,5),(0,14),(0,15),(1,26),(2,9),(2,25),(3,13),(3,24),(4,16),(5,11),(5,12),(6,69),(7,64),(8,49),(9,6),(9,52),(10,20),(10,59),(11,19),(11,65),(12,17),(12,65),(13,18),(13,22),(13,71),(14,2),(14,29),(15,3),(15,29),(16,39),(16,55),(17,56),(17,68),(18,57),(18,66),(19,58),(19,67),(20,51),(20,53),(21,40),(21,41),(22,57),(22,72),(23,28),(23,54),(23,70),(24,58),(24,71),(25,52),(25,56),(26,27),(26,69),(26,72),(27,45),(27,60),(28,34),(28,48),(28,50),(29,1),(30,76),(31,75),(32,77),(33,74),(33,80),(34,73),(34,78),(35,73),(35,77),(36,82),(37,79),(38,80),(39,74),(40,7),(40,76),(41,8),(41,76),(42,55),(42,79),(43,59),(44,39),(45,53),(45,83),(46,33),(46,81),(47,32),(47,83),(48,42),(48,78),(49,44),(50,46),(50,73),(51,44),(52,10),(52,43),(53,62),(54,34),(54,75),(55,36),(55,74),(56,43),(57,63),(58,61),(59,49),(59,51),(60,35),(60,50),(60,83),(61,31),(61,70),(62,33),(62,38),(63,32),(63,35),(64,37),(64,42),(65,21),(65,67),(65,68),(66,31),(66,54),(67,30),(67,40),(68,30),(68,41),(69,45),(69,47),(70,48),(70,64),(70,75),(71,23),(71,61),(71,66),(72,47),(72,60),(72,63),(73,81),(74,82),(75,37),(75,78),(76,4),(77,38),(77,81),(78,79),(79,36),(80,82),(81,80),(83,46),(83,62),(83,77)],84)
[[1,1,1,1,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>([(0,21),(0,22),(0,44),(1,103),(2,102),(3,19),(3,105),(4,20),(4,104),(5,40),(5,60),(6,37),(6,101),(7,42),(7,129),(8,36),(8,132),(9,34),(9,126),(10,41),(10,127),(11,38),(11,108),(12,32),(12,107),(13,43),(13,59),(14,35),(14,100),(15,18),(15,33),(15,106),(16,39),(16,128),(17,119),(18,26),(18,27),(18,99),(19,17),(19,130),(20,113),(21,16),(21,97),(22,11),(22,116),(23,78),(23,120),(24,58),(24,74),(25,57),(25,70),(26,98),(26,124),(27,23),(27,98),(27,115),(28,63),(28,117),(29,64),(29,73),(30,93),(30,95),(31,111),(31,118),(32,50),(32,89),(33,88),(33,99),(34,85),(34,87),(35,30),(35,86),(35,122),(36,84),(36,125),(37,55),(37,96),(38,51),(38,90),(39,51),(39,91),(40,49),(40,92),(41,28),(41,121),(41,123),(42,31),(42,124),(42,131),(43,29),(43,120),(43,130),(44,15),(44,97),(44,116),(45,145),(46,135),(47,133),(48,146),(49,134),(50,141),(51,142),(52,139),(53,136),(54,136),(55,138),(56,147),(57,2),(57,143),(58,1),(58,140),(59,14),(60,6),(61,77),(62,49),(62,145),(63,75),(64,84),(64,144),(65,54),(66,57),(66,133),(67,65),(68,53),(69,53),(70,62),(70,143),(71,126),(72,127),(73,121),(73,144),(74,25),(74,66),(74,140),(75,94),(76,52),(76,146),(77,52),(77,134),(78,100),(79,85),(79,147),(80,81),(80,141),(81,45),(81,143),(82,46),(82,144),(83,47),(83,140),(84,61),(85,68),(86,95),(86,135),(87,65),(88,59),(89,104),(89,141),(90,105),(90,142),(91,110),(91,142),(92,94),(92,134),(93,79),(93,137),(94,55),(94,139),(95,48),(95,137),(96,54),(96,138),(97,7),(97,128),(98,8),(98,114),(99,12),(99,115),(100,122),(101,96),(102,67),(103,109),(104,9),(104,71),(105,10),(105,72),(106,13),(106,88),(107,4),(107,89),(108,3),(108,90),(109,75),(109,92),(110,58),(110,83),(111,50),(111,80),(112,76),(112,77),(113,56),(113,79),(114,80),(114,132),(115,78),(115,107),(116,106),(116,108),(117,48),(117,76),(118,47),(118,66),(119,46),(119,86),(120,64),(120,82),(121,112),(121,117),(122,93),(122,113),(122,135),(123,63),(123,109),(124,111),(124,114),(125,45),(125,62),(126,67),(126,87),(127,103),(127,123),(128,91),(128,129),(129,24),(129,110),(129,131),(130,73),(130,82),(130,119),(131,74),(131,83),(131,118),(132,70),(132,81),(132,125),(133,60),(134,139),(135,56),(135,137),(137,146),(137,147),(138,136),(139,138),(140,5),(140,133),(141,71),(142,72),(143,102),(143,145),(144,61),(144,112),(145,101),(146,69),(147,68),(147,69)],148)
[[1,1,1,2,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>([(0,4),(0,14),(0,15),(1,29),(2,6),(2,27),(3,13),(3,28),(4,10),(4,11),(5,102),(6,5),(6,87),(7,31),(7,99),(8,25),(8,98),(9,26),(9,72),(10,23),(10,109),(11,24),(11,33),(11,109),(12,22),(12,108),(13,17),(13,18),(13,107),(14,2),(14,38),(15,3),(15,38),(16,84),(16,85),(17,90),(17,111),(18,90),(18,101),(19,82),(19,83),(20,81),(20,100),(21,34),(21,89),(21,104),(22,86),(22,106),(23,91),(23,110),(24,80),(24,105),(25,78),(25,79),(26,52),(26,88),(27,87),(27,103),(28,91),(28,107),(29,30),(29,102),(29,111),(30,63),(30,96),(31,44),(31,71),(31,76),(32,37),(32,51),(32,77),(33,80),(33,94),(33,103),(34,62),(34,74),(34,75),(35,133),(36,9),(37,8),(37,127),(38,1),(39,118),(40,117),(40,122),(41,119),(42,119),(42,126),(43,116),(43,127),(44,112),(44,120),(45,112),(45,113),(46,114),(46,116),(47,121),(48,122),(49,125),(50,113),(51,20),(51,114),(51,127),(52,117),(53,72),(54,88),(54,121),(55,45),(55,132),(56,48),(57,84),(57,124),(58,76),(58,134),(59,66),(60,56),(61,54),(62,55),(62,126),(63,86),(63,129),(64,53),(64,134),(65,47),(66,70),(67,40),(68,40),(68,123),(69,41),(69,129),(70,39),(70,128),(71,54),(71,120),(72,52),(73,44),(73,118),(74,58),(74,115),(75,82),(75,115),(75,126),(76,68),(76,112),(77,16),(77,57),(77,114),(78,65),(79,61),(80,59),(80,130),(81,36),(82,60),(82,131),(83,53),(83,131),(84,78),(84,128),(85,73),(85,128),(86,92),(87,12),(87,95),(88,49),(88,117),(89,19),(89,75),(89,133),(90,97),(91,93),(92,45),(92,50),(93,35),(93,104),(94,46),(94,77),(94,130),(95,66),(95,108),(96,42),(96,62),(96,129),(97,41),(97,42),(98,36),(98,79),(99,61),(99,71),(100,58),(100,64),(101,35),(101,89),(102,63),(102,69),(103,59),(103,95),(104,74),(104,100),(104,133),(105,37),(105,43),(105,130),(106,39),(106,73),(107,21),(107,93),(107,101),(108,70),(108,85),(108,106),(109,32),(109,94),(109,105),(109,110),(110,43),(110,46),(110,51),(111,69),(111,96),(111,97),(112,123),(113,48),(113,123),(114,7),(114,124),(115,131),(115,134),(116,124),(117,125),(118,47),(118,120),(119,50),(119,132),(120,121),(121,49),(122,125),(123,122),(124,99),(126,60),(126,132),(127,81),(127,98),(128,65),(128,118),(129,55),(129,92),(129,119),(130,57),(130,116),(131,67),(132,56),(132,113),(133,64),(133,83),(133,115),(134,67),(134,68)],135)
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[[1,2,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]]=>([(0,9),(1,13),(2,14),(4,12),(5,11),(6,1),(6,12),(7,3),(8,5),(8,15),(9,10),(10,4),(10,6),(11,14),(12,8),(12,13),(13,15),(14,7),(15,2),(15,11)],16)
[[1,2,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]]=>([(0,8),(0,16),(1,19),(1,20),(2,21),(3,23),(4,26),(5,24),(6,22),(7,27),(8,18),(9,10),(9,20),(10,4),(10,31),(11,2),(11,30),(12,3),(13,7),(13,29),(14,11),(14,28),(15,6),(15,25),(16,17),(16,18),(17,1),(17,9),(17,33),(18,33),(19,24),(20,13),(20,31),(21,32),(22,32),(24,14),(25,12),(26,28),(27,25),(28,30),(29,15),(29,27),(30,21),(30,22),(31,26),(31,29),(32,23),(33,5),(33,19)],34)
[[1,2,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,8),(0,13),(1,19),(2,16),(2,18),(3,21),(4,26),(5,24),(6,16),(6,22),(7,20),(7,23),(8,17),(9,4),(9,18),(10,9),(11,7),(11,30),(12,3),(12,25),(13,14),(13,17),(14,1),(14,15),(15,2),(15,6),(15,19),(16,28),(17,10),(18,26),(18,28),(19,11),(19,22),(20,24),(20,31),(22,30),(23,31),(24,12),(24,27),(25,21),(26,23),(26,29),(27,25),(28,29),(29,31),(30,5),(30,20),(31,27)],32)
[[1,2,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,20),(0,21),(1,11),(2,10),(3,27),(3,36),(4,16),(4,34),(5,17),(5,35),(6,26),(6,52),(7,12),(7,53),(8,13),(8,55),(9,15),(9,25),(9,54),(10,51),(11,14),(11,63),(12,38),(13,39),(14,60),(15,19),(15,50),(16,18),(16,64),(17,56),(18,59),(19,22),(19,57),(20,9),(20,58),(21,8),(21,58),(22,47),(22,61),(23,31),(23,46),(24,45),(24,48),(25,37),(25,50),(26,24),(26,49),(26,62),(27,23),(27,61),(27,64),(29,68),(30,68),(31,67),(32,65),(33,69),(34,1),(35,2),(36,6),(37,36),(38,35),(39,34),(40,32),(40,67),(41,51),(41,69),(42,28),(43,28),(44,29),(45,41),(45,66),(46,63),(46,67),(47,52),(48,30),(48,66),(49,48),(49,65),(50,7),(50,57),(51,43),(52,62),(53,5),(53,38),(54,3),(54,37),(55,4),(55,39),(56,33),(56,41),(57,47),(57,53),(58,54),(58,55),(59,32),(59,49),(60,29),(60,30),(61,31),(61,40),(62,45),(62,56),(62,65),(63,44),(63,60),(64,40),(64,46),(64,59),(65,33),(65,66),(66,68),(66,69),(67,44),(68,42),(69,42),(69,43)],70)
[[1,2,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,17),(0,18),(1,11),(1,12),(2,53),(3,50),(4,33),(5,16),(5,65),(6,13),(6,61),(7,14),(7,62),(8,15),(8,51),(9,25),(9,63),(10,24),(10,52),(11,54),(12,22),(12,23),(12,54),(13,36),(14,35),(15,40),(16,59),(17,1),(17,48),(18,7),(18,48),(19,32),(19,45),(20,29),(20,38),(21,55),(21,58),(22,49),(22,60),(23,42),(23,49),(24,31),(24,46),(25,21),(25,60),(25,64),(27,70),(28,70),(29,67),(30,66),(31,68),(32,3),(32,69),(33,8),(34,39),(35,57),(36,39),(37,32),(37,66),(38,19),(38,37),(38,67),(39,26),(40,26),(41,30),(41,67),(42,52),(43,44),(43,68),(44,28),(44,69),(45,27),(45,69),(46,53),(46,68),(47,61),(48,9),(48,62),(49,5),(49,56),(50,34),(51,40),(52,2),(52,46),(53,6),(53,47),(54,10),(54,42),(55,31),(55,43),(56,43),(56,65),(57,29),(57,41),(58,30),(58,37),(59,27),(59,28),(60,55),(60,56),(61,34),(61,36),(62,35),(62,63),(63,20),(63,57),(63,64),(64,38),(64,41),(64,58),(65,44),(65,45),(65,59),(66,33),(67,4),(67,66),(68,47),(69,50),(69,70),(70,51)],71)
[[1,2,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>([(0,21),(0,22),(0,44),(1,103),(2,102),(3,19),(3,105),(4,20),(4,104),(5,40),(5,60),(6,37),(6,101),(7,42),(7,129),(8,36),(8,132),(9,34),(9,126),(10,41),(10,127),(11,38),(11,108),(12,32),(12,107),(13,43),(13,59),(14,35),(14,100),(15,18),(15,33),(15,106),(16,39),(16,128),(17,119),(18,26),(18,27),(18,99),(19,17),(19,130),(20,113),(21,16),(21,97),(22,11),(22,116),(23,78),(23,120),(24,58),(24,74),(25,57),(25,70),(26,98),(26,124),(27,23),(27,98),(27,115),(28,63),(28,117),(29,64),(29,73),(30,93),(30,95),(31,111),(31,118),(32,50),(32,89),(33,88),(33,99),(34,85),(34,87),(35,30),(35,86),(35,122),(36,84),(36,125),(37,55),(37,96),(38,51),(38,90),(39,51),(39,91),(40,49),(40,92),(41,28),(41,121),(41,123),(42,31),(42,124),(42,131),(43,29),(43,120),(43,130),(44,15),(44,97),(44,116),(45,145),(46,135),(47,133),(48,146),(49,134),(50,141),(51,142),(52,139),(53,136),(54,136),(55,138),(56,147),(57,2),(57,143),(58,1),(58,140),(59,14),(60,6),(61,77),(62,49),(62,145),(63,75),(64,84),(64,144),(65,54),(66,57),(66,133),(67,65),(68,53),(69,53),(70,62),(70,143),(71,126),(72,127),(73,121),(73,144),(74,25),(74,66),(74,140),(75,94),(76,52),(76,146),(77,52),(77,134),(78,100),(79,85),(79,147),(80,81),(80,141),(81,45),(81,143),(82,46),(82,144),(83,47),(83,140),(84,61),(85,68),(86,95),(86,135),(87,65),(88,59),(89,104),(89,141),(90,105),(90,142),(91,110),(91,142),(92,94),(92,134),(93,79),(93,137),(94,55),(94,139),(95,48),(95,137),(96,54),(96,138),(97,7),(97,128),(98,8),(98,114),(99,12),(99,115),(100,122),(101,96),(102,67),(103,109),(104,9),(104,71),(105,10),(105,72),(106,13),(106,88),(107,4),(107,89),(108,3),(108,90),(109,75),(109,92),(110,58),(110,83),(111,50),(111,80),(112,76),(112,77),(113,56),(113,79),(114,80),(114,132),(115,78),(115,107),(116,106),(116,108),(117,48),(117,76),(118,47),(118,66),(119,46),(119,86),(120,64),(120,82),(121,112),(121,117),(122,93),(122,113),(122,135),(123,63),(123,109),(124,111),(124,114),(125,45),(125,62),(126,67),(126,87),(127,103),(127,123),(128,91),(128,129),(129,24),(129,110),(129,131),(130,73),(130,82),(130,119),(131,74),(131,83),(131,118),(132,70),(132,81),(132,125),(133,60),(134,139),(135,56),(135,137),(137,146),(137,147),(138,136),(139,138),(140,5),(140,133),(141,71),(142,72),(143,102),(143,145),(144,61),(144,112),(145,101),(146,69),(147,68),(147,69)],148)
[[1,2,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]]=>([(0,11),(0,12),(1,22),(2,19),(3,18),(3,23),(4,14),(4,20),(5,15),(6,15),(6,17),(7,5),(8,1),(8,17),(9,3),(9,21),(9,26),(10,2),(10,16),(11,13),(12,7),(13,6),(13,8),(14,29),(15,24),(16,19),(17,9),(17,22),(17,24),(18,20),(18,28),(20,10),(20,29),(21,23),(21,27),(22,25),(22,26),(23,28),(24,21),(24,25),(25,27),(26,4),(26,18),(26,27),(27,14),(27,28),(28,29),(29,16)],30)
[[1,2,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]]=>([(0,8),(0,9),(0,19),(1,42),(2,4),(2,20),(2,29),(3,50),(4,5),(4,52),(5,3),(5,53),(6,11),(6,35),(7,12),(7,31),(8,7),(8,34),(9,2),(9,33),(10,18),(10,46),(10,48),(11,27),(11,28),(12,25),(12,47),(13,15),(13,43),(13,44),(14,16),(14,26),(14,45),(15,17),(15,41),(15,51),(16,24),(16,40),(17,23),(17,39),(18,22),(18,32),(19,33),(19,34),(20,38),(20,47),(20,52),(21,55),(22,54),(23,57),(24,56),(25,62),(26,6),(26,63),(27,58),(28,58),(29,1),(29,38),(30,27),(30,60),(31,25),(32,26),(32,54),(33,29),(34,31),(35,28),(36,43),(37,21),(37,61),(38,42),(38,62),(39,30),(39,57),(40,30),(40,56),(41,23),(41,59),(42,13),(42,36),(43,41),(43,55),(44,51),(44,55),(45,24),(45,63),(46,22),(46,61),(47,49),(47,62),(48,14),(48,32),(48,61),(49,37),(49,46),(50,21),(50,44),(51,39),(51,40),(51,59),(52,10),(52,49),(52,53),(53,37),(53,48),(53,50),(54,63),(55,59),(56,60),(57,60),(59,56),(59,57),(60,58),(61,45),(61,54),(62,36),(63,35)],64)
[[1,2,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,15),(0,16),(1,18),(2,5),(3,9),(3,12),(4,10),(4,11),(5,40),(6,42),(7,13),(7,51),(8,20),(8,41),(9,43),(10,28),(11,14),(11,28),(12,19),(12,21),(12,43),(13,29),(14,44),(15,3),(15,23),(16,4),(16,23),(17,31),(17,47),(18,17),(18,44),(18,52),(19,36),(19,37),(20,38),(20,39),(21,37),(21,52),(23,1),(24,56),(25,54),(26,53),(26,54),(27,56),(28,2),(29,34),(30,35),(31,40),(31,57),(32,25),(32,57),(33,24),(33,55),(34,22),(35,22),(36,41),(37,46),(38,42),(38,53),(39,33),(39,53),(40,48),(41,6),(41,38),(42,7),(42,49),(43,8),(43,36),(44,31),(44,32),(45,34),(45,35),(46,25),(46,26),(47,26),(47,39),(47,57),(48,24),(48,27),(49,50),(49,51),(50,30),(50,45),(51,29),(51,45),(52,32),(52,46),(52,47),(53,49),(53,55),(54,27),(54,55),(55,50),(55,56),(56,30),(57,33),(57,48),(57,54)],58)
[[1,2,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,23),(0,24),(1,14),(2,13),(3,35),(3,78),(4,36),(4,79),(5,33),(5,54),(6,34),(6,55),(7,15),(7,80),(8,16),(8,81),(9,17),(9,52),(10,18),(10,53),(11,19),(11,31),(11,82),(12,20),(12,32),(12,83),(13,76),(14,77),(15,58),(16,59),(17,91),(18,92),(19,21),(19,74),(20,22),(20,75),(21,27),(21,88),(22,28),(22,89),(23,11),(23,90),(24,12),(24,90),(25,68),(25,101),(26,69),(26,102),(27,66),(27,97),(28,67),(28,98),(29,47),(29,99),(30,46),(30,100),(31,56),(31,74),(32,57),(32,75),(33,30),(33,97),(33,104),(34,29),(34,98),(34,104),(35,25),(35,84),(35,86),(36,26),(36,85),(36,87),(38,121),(38,122),(39,107),(39,123),(40,108),(40,124),(41,107),(41,108),(42,125),(43,126),(44,116),(44,121),(45,115),(45,122),(46,117),(47,118),(48,125),(49,126),(50,113),(51,114),(52,2),(53,1),(54,3),(55,4),(56,54),(57,55),(58,52),(59,53),(60,50),(60,119),(61,51),(61,120),(62,76),(62,119),(63,77),(63,120),(64,37),(65,37),(66,78),(67,79),(68,62),(68,105),(69,63),(69,106),(70,42),(70,111),(71,43),(71,112),(72,44),(72,110),(73,45),(73,109),(74,7),(74,88),(75,8),(75,89),(76,93),(77,94),(78,84),(79,85),(80,9),(80,58),(81,10),(81,59),(82,5),(82,56),(83,6),(83,57),(84,68),(84,91),(84,123),(85,69),(85,92),(85,124),(86,73),(86,101),(86,123),(87,72),(87,102),(87,124),(88,66),(88,80),(89,67),(89,81),(90,82),(90,83),(91,60),(91,62),(92,61),(92,63),(93,42),(93,48),(94,43),(94,49),(95,39),(95,41),(95,117),(96,40),(96,41),(96,118),(97,46),(97,95),(98,47),(98,96),(99,39),(99,86),(99,118),(100,40),(100,87),(100,117),(101,38),(101,45),(101,105),(102,38),(102,44),(102,106),(103,64),(103,65),(104,95),(104,96),(104,99),(104,100),(105,115),(105,119),(105,121),(106,116),(106,120),(106,122),(107,109),(108,110),(109,50),(109,115),(110,51),(110,116),(111,103),(111,125),(112,103),(112,126),(113,48),(113,111),(114,49),(114,112),(115,113),(115,127),(116,114),(116,127),(117,72),(117,108),(118,73),(118,107),(119,70),(119,93),(119,113),(120,71),(120,94),(120,114),(121,70),(121,127),(122,71),(122,127),(123,60),(123,105),(123,109),(124,61),(124,106),(124,110),(125,64),(126,65),(127,111),(127,112)],128)
[[1,2,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,14),(0,15),(1,10),(1,11),(2,87),(3,13),(3,113),(4,89),(5,31),(5,107),(6,25),(6,108),(7,27),(7,29),(7,114),(8,24),(8,88),(9,12),(9,115),(10,90),(11,26),(11,28),(11,90),(12,112),(13,93),(14,1),(14,86),(15,7),(15,20),(15,86),(16,70),(16,71),(17,83),(17,84),(18,69),(18,99),(19,22),(19,82),(19,104),(20,23),(20,98),(20,114),(21,42),(21,100),(22,74),(22,75),(23,62),(23,95),(24,55),(24,58),(25,54),(25,56),(26,57),(26,85),(27,47),(27,66),(28,85),(28,109),(29,18),(29,47),(29,92),(30,81),(30,97),(30,103),(31,30),(31,99),(31,109),(31,110),(32,138),(33,147),(34,146),(35,117),(36,117),(36,147),(37,140),(37,148),(38,139),(39,137),(40,136),(41,150),(42,142),(43,125),(44,129),(45,135),(46,127),(46,151),(47,6),(47,116),(48,71),(48,148),(48,151),(49,64),(50,77),(50,152),(51,73),(51,150),(52,43),(53,65),(54,96),(54,153),(55,76),(55,118),(56,43),(56,153),(57,88),(58,89),(58,118),(59,67),(59,149),(60,68),(60,118),(60,149),(61,59),(61,144),(62,94),(63,44),(63,146),(64,32),(64,133),(65,38),(65,132),(66,34),(66,116),(67,35),(67,145),(68,36),(68,143),(68,145),(69,44),(69,119),(70,33),(70,143),(71,17),(71,91),(71,143),(72,78),(72,130),(73,45),(73,123),(74,32),(74,121),(75,40),(75,121),(76,41),(76,126),(77,39),(77,123),(78,40),(78,124),(79,38),(79,124),(80,37),(80,129),(80,142),(81,54),(81,122),(81,144),(82,75),(82,131),(83,72),(83,128),(84,39),(84,128),(85,9),(85,111),(86,5),(86,98),(87,19),(87,101),(88,4),(88,58),(89,3),(89,106),(90,8),(90,57),(91,77),(91,84),(91,120),(92,63),(92,69),(92,116),(93,78),(93,79),(94,42),(94,80),(95,34),(95,63),(96,41),(96,51),(97,55),(97,60),(97,144),(98,62),(98,107),(99,61),(99,81),(99,119),(100,16),(100,46),(100,48),(100,142),(101,49),(101,104),(102,65),(102,79),(102,130),(103,37),(103,48),(103,122),(104,64),(104,74),(104,131),(105,53),(105,102),(106,105),(106,113),(107,21),(107,94),(107,110),(108,52),(108,56),(109,61),(109,97),(109,111),(110,80),(110,100),(110,103),(110,119),(111,59),(111,60),(111,115),(112,33),(112,35),(112,36),(113,72),(113,93),(113,102),(114,66),(114,92),(114,95),(115,67),(115,68),(115,70),(115,112),(116,108),(116,146),(117,45),(117,134),(118,106),(118,126),(119,46),(119,122),(119,129),(120,123),(120,128),(120,134),(121,136),(121,138),(122,140),(122,151),(122,153),(123,135),(123,137),(124,136),(124,139),(125,152),(126,105),(126,150),(127,154),(128,130),(128,137),(129,127),(129,140),(130,124),(130,132),(131,121),(131,133),(132,139),(133,138),(134,131),(134,135),(135,133),(136,141),(137,132),(138,141),(139,141),(140,125),(140,154),(142,2),(142,127),(142,148),(143,83),(143,120),(143,147),(144,76),(144,96),(144,149),(145,73),(145,117),(145,120),(146,52),(147,82),(147,134),(148,87),(148,154),(149,51),(149,126),(149,145),(150,53),(151,50),(151,91),(151,154),(152,49),(153,50),(153,125),(154,101),(154,152)],155)
[[1,2,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>([(0,21),(0,22),(0,50),(1,4),(1,115),(2,99),(3,152),(4,151),(5,6),(5,51),(5,117),(6,18),(6,178),(7,31),(7,120),(8,36),(8,169),(9,39),(9,121),(10,35),(10,179),(11,33),(11,168),(12,34),(12,118),(13,41),(13,64),(14,40),(14,119),(15,42),(15,132),(16,37),(16,191),(17,20),(17,38),(17,122),(18,32),(18,190),(19,25),(19,75),(20,26),(20,30),(20,145),(21,5),(21,159),(22,11),(22,116),(23,49),(23,143),(23,149),(24,84),(24,148),(25,81),(25,180),(26,150),(26,188),(27,83),(27,138),(28,53),(28,135),(28,185),(29,44),(29,86),(29,140),(30,43),(30,150),(30,181),(31,85),(31,139),(32,187),(32,189),(33,142),(33,144),(34,146),(34,147),(35,47),(35,188),(35,192),(36,134),(36,141),(37,133),(37,186),(38,136),(38,145),(39,82),(39,137),(40,45),(40,182),(40,184),(41,46),(41,183),(41,193),(42,48),(42,189),(42,193),(43,97),(43,183),(44,67),(44,171),(45,96),(45,166),(46,94),(46,160),(47,156),(47,157),(48,57),(48,165),(49,61),(49,90),(50,17),(50,116),(50,159),(51,114),(51,144),(51,178),(52,130),(52,131),(52,167),(53,52),(53,162),(53,170),(53,172),(54,203),(55,242),(56,227),(57,243),(58,241),(59,230),(59,246),(60,226),(61,196),(62,245),(62,246),(63,202),(63,247),(64,14),(65,207),(66,217),(66,229),(67,209),(68,208),(69,202),(69,211),(70,207),(70,248),(71,211),(71,236),(72,195),(73,228),(73,244),(74,248),(75,12),(76,206),(77,216),(78,215),(79,210),(80,237),(81,199),(82,238),(83,2),(83,239),(84,3),(84,198),(85,232),(86,9),(86,235),(87,95),(88,126),(88,224),(89,81),(89,242),(90,86),(90,196),(91,76),(91,241),(92,77),(92,249),(93,66),(93,195),(93,199),(94,133),(94,201),(95,65),(96,104),(96,194),(97,119),(98,137),(98,225),(98,231),(99,87),(100,169),(101,185),(102,92),(102,231),(103,128),(104,141),(104,240),(105,78),(105,240),(106,68),(106,198),(107,111),(107,232),(108,56),(108,221),(109,60),(110,60),(110,223),(111,55),(111,239),(112,58),(112,197),(113,54),(113,233),(114,132),(114,234),(115,8),(115,100),(116,10),(116,168),(117,15),(117,114),(118,147),(119,184),(120,1),(120,139),(121,82),(122,13),(122,136),(123,70),(123,214),(124,108),(124,213),(125,66),(125,212),(125,245),(126,146),(126,217),(126,244),(127,83),(127,208),(128,56),(128,206),(129,59),(129,205),(130,98),(130,200),(130,204),(131,88),(131,204),(132,28),(132,101),(133,176),(134,95),(135,172),(135,203),(136,64),(137,163),(137,238),(138,89),(138,239),(139,115),(139,232),(140,67),(140,235),(141,153),(142,154),(142,234),(143,61),(143,233),(144,155),(144,234),(145,7),(145,181),(146,124),(146,219),(147,65),(147,219),(148,27),(148,127),(148,198),(149,29),(149,90),(149,233),(150,16),(150,158),(151,104),(151,105),(152,79),(152,174),(153,70),(153,74),(154,84),(154,106),(155,113),(155,143),(156,68),(156,127),(157,85),(157,107),(158,107),(158,191),(159,117),(159,122),(160,71),(160,162),(160,201),(161,69),(161,71),(161,243),(162,167),(162,175),(162,236),(163,58),(163,91),(164,63),(164,69),(164,201),(165,63),(165,182),(165,243),(166,59),(166,62),(166,194),(167,62),(167,125),(167,200),(168,142),(168,179),(169,87),(169,134),(170,131),(170,174),(170,220),(171,98),(171,102),(171,209),(172,130),(172,171),(172,220),(172,236),(173,108),(173,128),(173,218),(174,88),(174,180),(174,210),(175,93),(175,125),(175,250),(176,72),(176,93),(177,109),(177,110),(178,23),(178,155),(178,190),(179,24),(179,154),(179,192),(180,73),(180,126),(180,199),(181,97),(181,120),(182,129),(182,166),(182,247),(183,94),(183,164),(184,96),(184,151),(184,247),(185,152),(185,170),(185,203),(186,55),(186,89),(187,54),(187,135),(188,157),(188,158),(189,57),(189,161),(190,113),(190,149),(190,187),(191,111),(191,138),(191,186),(192,106),(192,148),(192,156),(193,160),(193,161),(193,164),(193,165),(194,230),(194,240),(194,245),(195,77),(195,228),(195,229),(196,235),(197,177),(197,241),(198,19),(198,208),(199,217),(199,228),(200,212),(200,231),(200,246),(201,175),(201,176),(201,211),(202,205),(203,79),(203,220),(204,224),(204,225),(205,78),(205,230),(206,227),(207,222),(208,75),(209,80),(209,225),(210,73),(210,80),(210,224),(211,72),(211,250),(212,229),(212,249),(212,252),(213,221),(213,222),(214,177),(214,248),(215,74),(215,214),(216,76),(216,218),(217,219),(217,251),(218,206),(218,221),(219,207),(219,213),(220,204),(220,209),(220,210),(221,223),(221,227),(222,223),(223,226),(224,237),(224,244),(225,237),(225,238),(227,226),(228,251),(229,216),(229,251),(230,215),(230,252),(231,112),(231,163),(231,249),(232,100),(233,140),(233,196),(234,101),(235,121),(236,102),(236,200),(236,250),(237,103),(237,173),(238,103),(239,99),(239,242),(240,123),(240,153),(240,215),(241,109),(242,118),(243,129),(243,202),(244,124),(244,173),(244,251),(245,123),(245,252),(246,112),(246,252),(247,105),(247,194),(247,205),(248,110),(248,222),(249,91),(249,197),(249,216),(250,92),(250,195),(250,212),(251,213),(251,218),(252,197),(252,214)],253)
[[1,2,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]]=>([(0,3),(0,4),(1,10),(1,18),(2,7),(3,1),(4,8),(4,9),(5,11),(5,48),(6,46),(7,38),(8,19),(8,49),(9,12),(9,49),(10,13),(10,47),(11,31),(12,43),(13,42),(14,17),(14,37),(14,44),(15,25),(15,26),(16,23),(16,27),(17,28),(17,33),(18,36),(18,47),(19,36),(19,41),(21,51),(22,50),(23,51),(24,54),(25,52),(26,5),(26,52),(27,6),(27,51),(28,34),(28,53),(29,20),(30,20),(31,29),(32,30),(33,26),(33,53),(34,38),(34,54),(35,32),(36,40),(37,15),(37,33),(37,50),(38,35),(39,29),(39,30),(40,22),(40,44),(41,21),(41,27),(42,22),(42,37),(43,21),(43,23),(44,28),(44,46),(44,50),(45,32),(45,39),(46,24),(46,34),(47,14),(47,40),(47,42),(48,31),(48,39),(49,16),(49,41),(49,43),(50,24),(50,25),(50,53),(51,2),(52,45),(52,48),(53,52),(53,54),(54,35),(54,45)],55)
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[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]=>([],1)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]=>([(0,1)],2)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>([(0,1)],2)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,1)],2)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>([(0,5),(0,16),(0,17),(1,23),(2,19),(3,11),(3,21),(4,10),(4,20),(5,12),(5,13),(6,50),(7,51),(8,24),(8,58),(9,25),(9,59),(10,14),(10,52),(11,15),(11,53),(12,26),(12,60),(13,27),(13,60),(14,54),(15,55),(16,4),(16,29),(17,3),(17,29),(18,48),(18,49),(19,32),(19,33),(20,46),(20,52),(21,47),(21,53),(22,34),(22,35),(23,18),(23,54),(23,55),(24,40),(24,42),(25,41),(25,43),(26,46),(26,56),(27,47),(27,57),(28,63),(29,1),(30,62),(31,61),(32,61),(33,61),(34,6),(34,62),(35,7),(35,62),(36,58),(37,59),(38,32),(39,33),(40,44),(41,45),(42,38),(43,39),(44,31),(45,31),(46,36),(47,37),(48,40),(48,63),(49,41),(49,63),(50,38),(51,39),(52,8),(52,36),(53,9),(53,37),(54,28),(54,48),(55,28),(55,49),(56,30),(56,34),(57,30),(57,35),(58,42),(58,50),(59,43),(59,51),(60,22),(60,56),(60,57),(62,2),(63,44),(63,45)],64)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]=>([(0,1)],2)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,3),(0,8),(1,10),(2,10),(3,9),(4,6),(5,4),(5,11),(6,2),(7,1),(8,5),(8,9),(9,11),(11,7)],12)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,4),(0,7),(2,10),(3,9),(4,8),(5,3),(5,11),(6,1),(7,5),(7,8),(8,11),(9,10),(10,6),(11,2),(11,9)],12)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,4),(0,7),(1,9),(2,10),(3,9),(3,10),(4,11),(5,8),(6,1),(7,5),(7,11),(8,2),(8,3),(9,12),(10,12),(11,6)],13)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,10),(0,11),(1,13),(1,14),(2,21),(3,20),(4,14),(4,20),(5,17),(6,16),(7,18),(8,12),(9,1),(9,22),(10,5),(10,15),(11,8),(11,15),(12,3),(12,4),(13,21),(14,19),(15,9),(15,17),(17,22),(18,16),(19,18),(20,7),(20,19),(21,6),(22,2),(22,13)],23)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>([(0,16),(0,17),(0,28),(1,22),(2,19),(3,11),(3,21),(4,54),(5,55),(6,26),(6,57),(7,25),(7,67),(8,23),(8,64),(9,24),(9,65),(10,14),(10,56),(11,15),(11,58),(12,3),(12,37),(13,27),(13,66),(14,59),(15,60),(16,13),(16,53),(17,6),(17,61),(18,51),(18,52),(19,33),(19,34),(20,35),(20,36),(21,50),(21,58),(22,18),(22,59),(22,60),(23,41),(23,43),(24,42),(24,44),(25,50),(25,63),(26,29),(26,46),(27,29),(27,45),(28,12),(28,53),(28,61),(29,70),(30,71),(31,69),(32,68),(33,68),(34,68),(35,4),(35,69),(36,5),(36,69),(37,1),(38,33),(39,34),(40,64),(41,48),(42,49),(43,38),(44,39),(45,62),(45,70),(46,56),(46,70),(47,65),(48,32),(49,32),(50,40),(51,42),(51,71),(52,41),(52,71),(53,7),(53,66),(54,38),(55,39),(56,9),(56,47),(57,10),(57,46),(58,8),(58,40),(59,30),(59,51),(60,30),(60,52),(61,37),(61,57),(62,31),(62,36),(63,31),(63,35),(64,43),(64,54),(65,44),(65,55),(66,45),(66,67),(67,20),(67,62),(67,63),(69,2),(70,47),(71,48),(71,49)],72)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,6),(0,7),(2,5),(2,16),(3,4),(3,17),(4,14),(5,12),(6,13),(7,2),(7,13),(8,10),(8,11),(9,18),(10,18),(11,18),(12,15),(13,3),(13,16),(14,9),(14,10),(15,9),(15,11),(16,12),(16,17),(17,8),(17,14),(17,15),(18,1)],19)
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,1),(5,10),(6,3),(6,4),(6,8),(7,2),(7,6),(8,12),(8,13),(9,5),(9,14),(10,11),(12,14),(13,14),(14,10)],15)
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,1),(1,4),(1,5),(2,16),(3,6),(3,17),(4,18),(5,7),(5,8),(5,18),(6,13),(7,11),(7,14),(8,10),(8,11),(10,19),(11,3),(11,19),(12,9),(13,9),(14,16),(14,19),(15,12),(16,15),(17,12),(17,13),(18,2),(18,10),(18,14),(19,15),(19,17)],20)
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,2),(1,6),(2,4),(2,5),(3,7),(3,22),(4,23),(5,9),(5,10),(5,23),(6,20),(7,15),(8,12),(8,14),(9,13),(9,17),(10,13),(10,18),(12,1),(13,3),(13,24),(14,19),(15,16),(16,11),(17,14),(17,24),(18,12),(18,24),(19,21),(20,11),(21,16),(21,20),(22,15),(22,21),(23,8),(23,17),(23,18),(24,19),(24,22)],25)
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>([(0,9),(1,13),(2,14),(4,12),(5,11),(6,1),(6,12),(7,3),(8,5),(8,15),(9,10),(10,4),(10,6),(11,14),(12,8),(12,13),(13,15),(14,7),(15,2),(15,11)],16)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,7),(0,8),(0,11),(1,25),(2,10),(2,24),(3,5),(3,12),(3,26),(4,28),(5,6),(5,29),(6,4),(6,27),(7,2),(7,19),(8,3),(8,18),(9,15),(9,16),(10,13),(10,23),(11,18),(11,19),(12,22),(12,23),(12,29),(13,31),(14,30),(15,30),(16,30),(17,20),(18,26),(19,24),(20,14),(21,16),(22,25),(22,31),(23,17),(23,31),(24,13),(25,9),(25,21),(26,1),(26,22),(27,20),(27,28),(28,14),(28,15),(29,17),(29,27),(31,21)],32)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,15),(0,16),(0,30),(1,26),(2,14),(2,95),(3,78),(4,79),(5,92),(6,77),(7,29),(7,93),(8,27),(8,96),(9,28),(9,94),(10,12),(10,32),(10,80),(11,84),(12,13),(12,86),(13,11),(13,97),(14,19),(14,98),(15,10),(15,54),(16,2),(16,24),(16,76),(17,47),(17,71),(18,46),(18,72),(19,41),(19,91),(20,35),(20,73),(21,69),(21,87),(22,25),(22,75),(22,90),(23,45),(23,70),(24,31),(24,88),(24,95),(25,49),(25,50),(26,39),(26,40),(27,52),(27,53),(28,41),(28,89),(29,33),(29,57),(30,54),(30,76),(31,67),(31,68),(31,85),(32,56),(32,68),(32,86),(33,110),(34,106),(34,107),(35,21),(35,111),(36,100),(37,101),(37,106),(38,102),(39,102),(40,102),(41,99),(42,104),(43,113),(44,103),(45,6),(45,112),(46,7),(46,108),(47,5),(47,107),(48,3),(48,103),(49,55),(49,105),(50,33),(50,105),(51,61),(52,63),(53,61),(54,80),(55,52),(55,113),(56,79),(56,109),(57,60),(57,110),(58,90),(59,81),(60,62),(61,39),(62,40),(63,38),(64,38),(65,37),(65,111),(66,36),(66,108),(67,82),(67,109),(68,83),(68,109),(69,59),(70,48),(70,112),(71,42),(71,107),(72,69),(72,108),(73,23),(73,74),(73,111),(74,45),(74,101),(75,50),(75,100),(76,9),(76,88),(77,51),(78,62),(79,22),(79,58),(80,4),(80,56),(81,60),(81,78),(82,34),(82,47),(83,66),(83,72),(84,36),(84,75),(85,35),(85,65),(86,18),(86,83),(86,97),(87,44),(87,48),(88,67),(88,94),(89,34),(89,71),(89,99),(90,49),(90,92),(90,100),(91,37),(91,74),(91,99),(92,43),(92,55),(93,57),(93,81),(94,17),(94,82),(94,89),(95,20),(95,85),(95,98),(96,51),(96,53),(97,46),(97,66),(97,84),(98,65),(98,73),(98,91),(99,42),(99,106),(100,43),(100,105),(101,44),(101,112),(103,1),(104,96),(105,110),(105,113),(106,104),(107,8),(107,104),(108,59),(108,93),(109,58),(110,64),(111,70),(111,87),(111,101),(112,77),(112,103),(113,63),(113,64)],114)
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[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>([(0,5),(0,14),(0,15),(1,26),(2,9),(2,25),(3,13),(3,24),(4,16),(5,11),(5,12),(6,69),(7,64),(8,49),(9,6),(9,52),(10,20),(10,59),(11,19),(11,65),(12,17),(12,65),(13,18),(13,22),(13,71),(14,2),(14,29),(15,3),(15,29),(16,39),(16,55),(17,56),(17,68),(18,57),(18,66),(19,58),(19,67),(20,51),(20,53),(21,40),(21,41),(22,57),(22,72),(23,28),(23,54),(23,70),(24,58),(24,71),(25,52),(25,56),(26,27),(26,69),(26,72),(27,45),(27,60),(28,34),(28,48),(28,50),(29,1),(30,76),(31,75),(32,77),(33,74),(33,80),(34,73),(34,78),(35,73),(35,77),(36,82),(37,79),(38,80),(39,74),(40,7),(40,76),(41,8),(41,76),(42,55),(42,79),(43,59),(44,39),(45,53),(45,83),(46,33),(46,81),(47,32),(47,83),(48,42),(48,78),(49,44),(50,46),(50,73),(51,44),(52,10),(52,43),(53,62),(54,34),(54,75),(55,36),(55,74),(56,43),(57,63),(58,61),(59,49),(59,51),(60,35),(60,50),(60,83),(61,31),(61,70),(62,33),(62,38),(63,32),(63,35),(64,37),(64,42),(65,21),(65,67),(65,68),(66,31),(66,54),(67,30),(67,40),(68,30),(68,41),(69,45),(69,47),(70,48),(70,64),(70,75),(71,23),(71,61),(71,66),(72,47),(72,60),(72,63),(73,81),(74,82),(75,37),(75,78),(76,4),(77,38),(77,81),(78,79),(79,36),(80,82),(81,80),(83,46),(83,62),(83,77)],84)
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[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]=>([(0,1)],2)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,1),(0,2),(1,3),(2,3)],4)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[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)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,6),(0,7),(0,8),(1,4),(1,16),(2,5),(2,15),(3,2),(3,14),(4,10),(4,11),(5,9),(5,11),(6,12),(6,13),(7,12),(7,17),(8,3),(8,13),(8,17),(9,18),(10,18),(11,18),(12,19),(13,1),(13,19),(14,15),(15,9),(16,10),(17,14),(17,19),(19,16)],20)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,1),(0,2),(1,14),(2,3),(2,5),(2,14),(3,9),(3,13),(4,8),(4,10),(5,6),(5,12),(5,13),(6,7),(6,11),(7,15),(8,16),(9,17),(10,16),(11,10),(11,15),(12,7),(12,17),(13,4),(13,11),(13,17),(14,9),(14,12),(15,16),(17,8),(17,15)],18)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,4),(0,6),(1,8),(1,13),(2,8),(2,12),(3,11),(4,9),(5,3),(5,10),(6,7),(6,9),(7,1),(7,2),(7,14),(8,5),(8,15),(9,14),(10,11),(12,15),(13,15),(14,12),(14,13),(15,10)],16)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,3),(0,4),(0,7),(1,5),(1,17),(2,6),(2,8),(2,18),(3,1),(3,13),(4,2),(4,14),(5,10),(5,15),(6,11),(6,16),(7,13),(7,14),(8,12),(8,15),(8,16),(9,21),(10,19),(11,20),(12,19),(12,20),(13,17),(14,18),(15,9),(15,19),(16,9),(16,20),(17,10),(18,11),(18,12),(19,21),(20,21)],22)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,2),(0,3),(0,10),(1,9),(1,11),(1,31),(2,1),(2,24),(3,6),(3,8),(3,30),(4,18),(4,27),(5,19),(5,20),(6,17),(6,29),(7,15),(7,21),(8,12),(8,26),(8,29),(9,16),(9,28),(10,24),(10,30),(11,14),(11,23),(11,28),(12,13),(12,22),(12,23),(13,32),(13,33),(14,33),(14,39),(15,37),(16,39),(17,38),(18,36),(19,34),(20,34),(21,5),(21,37),(22,21),(22,32),(23,25),(23,33),(24,31),(25,27),(25,35),(26,13),(26,38),(27,19),(27,36),(28,4),(28,25),(28,39),(29,7),(29,22),(29,38),(30,17),(30,26),(31,14),(31,16),(32,37),(33,35),(35,36),(36,34),(37,20),(38,15),(38,32),(39,18),(39,35)],40)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>([(0,5),(0,16),(0,17),(0,28),(1,23),(1,58),(2,19),(2,53),(3,11),(3,21),(3,80),(4,10),(4,20),(4,79),(5,12),(5,13),(5,81),(6,48),(6,73),(7,49),(7,74),(8,24),(8,75),(8,86),(9,25),(9,76),(9,87),(10,14),(10,71),(10,77),(11,15),(11,72),(11,78),(12,26),(12,69),(12,88),(13,27),(13,70),(13,88),(14,31),(14,82),(15,32),(15,83),(16,4),(16,36),(16,54),(17,3),(17,36),(17,55),(18,44),(18,67),(18,68),(19,39),(19,40),(19,43),(20,34),(20,56),(20,77),(21,35),(21,57),(21,78),(22,45),(22,46),(22,47),(23,18),(23,50),(23,82),(23,83),(24,41),(24,61),(24,63),(25,42),(25,62),(25,64),(26,37),(26,56),(26,84),(27,38),(27,57),(27,85),(28,54),(28,55),(28,81),(29,90),(29,118),(30,89),(30,117),(31,93),(32,94),(33,116),(33,124),(34,91),(34,122),(35,92),(35,123),(36,1),(36,121),(37,91),(37,110),(38,92),(38,111),(39,90),(39,104),(40,90),(40,105),(41,98),(41,108),(42,99),(42,109),(43,104),(43,105),(44,106),(44,107),(45,102),(45,103),(46,6),(46,89),(46,102),(47,7),(47,89),(47,103),(48,100),(49,101),(50,44),(50,93),(50,94),(51,39),(51,119),(52,40),(52,120),(53,43),(54,79),(54,121),(55,80),(55,121),(56,59),(56,91),(57,60),(57,92),(58,50),(59,86),(59,112),(60,87),(60,113),(61,65),(61,108),(62,66),(62,109),(63,51),(63,98),(64,52),(64,99),(65,29),(65,96),(66,29),(66,97),(67,61),(67,106),(67,124),(68,62),(68,107),(68,124),(69,37),(69,95),(70,38),(70,95),(71,31),(71,122),(72,32),(72,123),(73,51),(73,100),(74,52),(74,101),(75,41),(75,114),(76,42),(76,115),(77,8),(77,59),(77,122),(78,9),(78,60),(78,123),(79,34),(79,71),(80,35),(80,72),(81,69),(81,70),(82,33),(82,67),(82,93),(83,33),(83,68),(83,94),(84,30),(84,46),(84,110),(85,30),(85,47),(85,111),(86,63),(86,73),(86,114),(87,64),(87,74),(87,115),(88,22),(88,84),(88,85),(88,95),(89,2),(89,127),(90,125),(91,112),(92,113),(93,106),(93,116),(94,107),(94,116),(95,45),(95,110),(95,111),(96,118),(97,118),(98,119),(99,120),(100,119),(101,120),(102,48),(102,127),(103,49),(103,127),(104,125),(105,125),(106,108),(106,126),(107,109),(107,126),(108,96),(109,97),(110,102),(110,117),(111,103),(111,117),(112,114),(113,115),(114,98),(114,100),(115,99),(115,101),(116,126),(117,127),(118,125),(119,104),(120,105),(121,58),(122,75),(122,112),(123,76),(123,113),(124,65),(124,66),(124,126),(126,96),(126,97),(127,53)],128)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]=>([(0,2),(2,1)],3)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>([(0,3),(0,4),(0,8),(1,7),(1,21),(2,6),(2,20),(3,2),(3,18),(4,1),(4,19),(5,12),(5,13),(6,11),(6,16),(7,11),(7,17),(8,5),(8,18),(8,19),(9,23),(10,23),(11,22),(12,14),(13,15),(14,9),(15,10),(16,9),(16,22),(17,10),(17,22),(18,12),(18,20),(19,13),(19,21),(20,14),(20,16),(21,15),(21,17),(22,23)],24)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,3),(0,9),(1,11),(2,11),(3,10),(4,7),(5,6),(5,12),(6,4),(6,13),(7,2),(8,1),(9,5),(9,10),(10,12),(12,13),(13,8)],14)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,5),(0,6),(1,8),(2,9),(3,10),(4,1),(4,11),(5,2),(5,7),(6,3),(6,7),(7,9),(7,10),(9,12),(10,4),(10,12),(11,8),(12,11)],13)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,6),(0,7),(1,8),(2,11),(3,10),(4,12),(5,1),(5,14),(6,3),(6,9),(7,4),(7,9),(8,11),(9,10),(9,12),(10,13),(12,5),(12,13),(13,14),(14,2),(14,8)],15)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,7),(0,8),(2,11),(3,10),(4,12),(5,4),(5,14),(6,1),(7,2),(7,9),(8,5),(8,9),(9,11),(9,14),(10,6),(11,15),(12,13),(13,10),(14,12),(14,15),(15,3),(15,13)],16)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,3),(0,8),(1,10),(2,10),(3,9),(4,6),(5,4),(5,11),(6,2),(7,1),(8,5),(8,9),(9,11),(11,7)],12)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,4),(0,8),(1,10),(2,11),(3,10),(3,11),(4,12),(5,6),(5,13),(6,9),(7,1),(8,5),(8,12),(9,2),(9,3),(10,14),(11,14),(12,13),(13,7)],15)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,11),(0,12),(1,14),(1,15),(2,24),(3,23),(4,15),(4,23),(5,18),(6,17),(7,20),(8,13),(9,8),(9,19),(10,1),(10,25),(11,5),(11,16),(12,9),(12,16),(13,3),(13,4),(14,24),(15,21),(16,18),(16,19),(18,22),(19,10),(19,22),(20,17),(21,20),(22,25),(23,7),(23,21),(24,6),(25,2),(25,14)],26)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>([(0,16),(0,17),(0,29),(1,22),(2,19),(3,11),(3,21),(4,58),(5,59),(6,26),(6,74),(7,24),(7,70),(8,25),(8,71),(9,14),(9,60),(10,3),(10,38),(11,15),(11,61),(12,28),(12,73),(13,27),(13,72),(14,63),(15,64),(16,13),(16,66),(17,12),(17,65),(18,52),(18,53),(19,34),(19,35),(20,36),(20,37),(21,51),(21,61),(22,18),(22,63),(22,64),(23,10),(23,57),(23,67),(24,42),(24,44),(25,43),(25,45),(26,51),(26,69),(27,33),(27,54),(28,33),(28,55),(29,23),(29,65),(29,66),(30,79),(31,76),(32,75),(33,77),(34,75),(35,75),(36,4),(36,76),(37,5),(37,76),(38,1),(39,70),(40,34),(41,35),(42,49),(43,50),(44,40),(45,41),(46,60),(46,78),(47,71),(48,68),(48,78),(49,32),(50,32),(51,39),(52,43),(52,79),(53,42),(53,79),(54,46),(54,77),(55,48),(55,77),(56,9),(56,46),(57,6),(57,62),(58,40),(59,41),(60,8),(60,47),(61,7),(61,39),(62,48),(62,74),(63,30),(63,52),(64,30),(64,53),(65,57),(65,73),(66,67),(66,72),(67,38),(67,56),(68,31),(68,37),(69,31),(69,36),(70,44),(70,58),(71,45),(71,59),(72,54),(72,56),(73,55),(73,62),(74,20),(74,68),(74,69),(76,2),(77,78),(78,47),(79,49),(79,50)],80)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,5),(0,6),(0,7),(1,4),(1,18),(2,3),(2,17),(3,12),(4,13),(5,9),(5,10),(6,9),(6,11),(7,10),(7,11),(9,19),(10,2),(10,19),(11,1),(11,19),(12,14),(13,15),(14,8),(15,8),(16,14),(16,15),(17,12),(17,16),(18,13),(18,16),(19,17),(19,18)],20)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,16),(3,13),(4,11),(5,12),(6,1),(6,12),(7,9),(7,10),(8,17),(9,17),(10,17),(11,14),(12,2),(12,15),(13,8),(13,9),(14,8),(14,10),(15,11),(15,16),(16,7),(16,13),(16,14)],18)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,6),(0,7),(1,5),(1,17),(2,12),(3,4),(3,18),(4,15),(5,13),(6,14),(7,1),(7,14),(8,10),(8,11),(9,19),(10,19),(11,2),(11,19),(13,16),(14,3),(14,17),(15,9),(15,10),(16,9),(16,11),(17,13),(17,18),(18,8),(18,15),(18,16),(19,12)],20)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,7),(0,8),(0,9),(2,5),(2,22),(3,4),(3,21),(4,16),(5,17),(6,10),(6,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,24),(11,24),(12,24),(13,23),(14,3),(14,23),(15,2),(15,23),(16,19),(17,20),(18,6),(18,19),(18,20),(19,10),(19,12),(20,11),(20,12),(21,16),(21,18),(22,17),(22,18),(23,21),(23,22),(24,1)],25)
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,4),(0,7),(2,10),(3,9),(4,8),(5,3),(5,11),(6,1),(7,5),(7,8),(8,11),(9,10),(10,6),(11,2),(11,9)],12)
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,3),(0,4),(1,2),(1,17),(2,9),(3,18),(4,5),(4,6),(4,18),(5,11),(5,15),(6,8),(6,14),(6,15),(7,10),(7,13),(8,12),(8,16),(10,20),(11,21),(12,19),(13,1),(13,20),(14,7),(14,16),(14,21),(15,12),(15,21),(16,13),(16,19),(17,9),(18,11),(18,14),(19,20),(20,17),(21,10),(21,19)],22)
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,3),(0,4),(1,2),(1,24),(2,17),(3,23),(4,5),(4,7),(4,23),(5,13),(5,22),(6,12),(6,15),(7,9),(7,21),(7,22),(8,11),(8,14),(9,18),(9,20),(11,28),(12,1),(12,27),(13,25),(14,28),(15,27),(16,10),(17,10),(18,12),(18,26),(19,16),(20,11),(20,26),(21,6),(21,18),(21,25),(22,8),(22,20),(22,25),(23,13),(23,21),(24,16),(24,17),(25,14),(25,15),(25,26),(26,27),(26,28),(27,19),(27,24),(28,19)],29)
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,5),(0,6),(1,3),(2,4),(2,29),(3,26),(4,17),(5,28),(6,7),(6,8),(6,28),(7,13),(7,22),(8,11),(8,21),(8,22),(9,15),(9,23),(10,16),(10,24),(11,18),(11,19),(13,33),(14,1),(15,31),(16,2),(16,32),(17,20),(18,15),(18,30),(19,16),(19,30),(20,12),(21,10),(21,19),(21,33),(22,9),(22,18),(22,33),(23,14),(23,31),(24,14),(24,32),(25,27),(26,12),(27,20),(27,26),(28,13),(28,21),(29,17),(29,27),(30,31),(30,32),(31,25),(32,25),(32,29),(33,23),(33,24),(33,30)],34)
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>([(0,7),(0,10),(1,13),(2,12),(2,22),(4,16),(5,12),(5,17),(6,18),(7,14),(8,3),(9,6),(9,15),(10,11),(10,14),(11,2),(11,5),(11,20),(12,9),(12,23),(13,21),(14,20),(15,18),(15,21),(16,8),(17,23),(18,19),(19,16),(20,17),(20,22),(21,4),(21,19),(22,1),(22,23),(23,13),(23,15)],24)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,6),(0,7),(0,8),(1,4),(1,16),(2,5),(2,15),(3,2),(3,14),(4,10),(4,11),(5,9),(5,11),(6,12),(6,13),(7,12),(7,17),(8,3),(8,13),(8,17),(9,18),(10,18),(11,18),(12,19),(13,1),(13,19),(14,15),(15,9),(16,10),(17,14),(17,19),(19,16)],20)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,4),(0,7),(1,9),(2,10),(3,9),(3,10),(4,11),(5,8),(6,1),(7,5),(7,11),(8,2),(8,3),(9,12),(10,12),(11,6)],13)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,4),(0,8),(1,13),(2,10),(3,10),(3,11),(4,12),(5,9),(6,1),(6,11),(7,2),(8,5),(8,12),(9,3),(9,6),(10,14),(11,13),(11,14),(12,7),(13,15),(14,15)],16)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,10),(0,11),(0,12),(1,22),(2,8),(2,27),(3,7),(3,21),(4,31),(5,6),(5,32),(6,4),(6,30),(7,5),(7,13),(7,29),(8,17),(8,25),(9,15),(9,16),(10,18),(10,26),(11,18),(11,19),(12,3),(12,19),(12,26),(13,24),(13,25),(13,32),(14,33),(15,33),(16,33),(17,34),(18,35),(19,2),(19,35),(20,23),(21,29),(22,9),(22,28),(23,14),(24,22),(24,34),(25,20),(25,34),(26,21),(26,35),(27,17),(28,16),(29,1),(29,24),(30,23),(30,31),(31,14),(31,15),(32,20),(32,30),(34,28),(35,27)],36)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,10),(0,11),(1,13),(1,14),(2,21),(3,20),(4,14),(4,20),(5,17),(6,16),(7,18),(8,12),(9,1),(9,22),(10,5),(10,15),(11,8),(11,15),(12,3),(12,4),(13,21),(14,19),(15,9),(15,17),(17,22),(18,16),(19,18),(20,7),(20,19),(21,6),(22,2),(22,13)],23)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,9),(0,10),(1,2),(2,7),(2,11),(3,23),(4,17),(5,22),(6,13),(6,24),(7,8),(7,27),(8,26),(9,1),(9,21),(10,3),(10,21),(11,19),(11,27),(12,15),(12,20),(13,18),(13,19),(14,28),(15,28),(17,5),(18,17),(19,25),(20,22),(20,28),(21,6),(21,23),(22,16),(23,24),(24,4),(24,18),(25,14),(25,20),(26,14),(26,15),(27,12),(27,25),(27,26),(28,16)],29)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,11),(0,12),(1,2),(2,3),(2,16),(3,10),(3,41),(4,33),(5,34),(6,24),(7,17),(7,40),(8,9),(8,39),(9,26),(10,37),(11,1),(11,32),(12,8),(12,32),(13,27),(13,31),(14,20),(14,22),(15,23),(15,29),(16,28),(16,41),(17,28),(17,38),(18,43),(19,42),(20,13),(20,42),(21,6),(22,5),(22,42),(23,4),(23,43),(25,24),(26,36),(27,30),(28,35),(29,27),(29,43),(30,25),(31,21),(32,7),(32,39),(33,25),(34,21),(35,18),(35,29),(36,19),(36,22),(37,18),(37,23),(38,19),(38,20),(39,26),(39,40),(40,14),(40,36),(40,38),(41,15),(41,35),(41,37),(42,31),(42,34),(43,30),(43,33)],44)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,29),(0,30),(0,31),(1,27),(2,69),(3,70),(4,95),(5,14),(5,96),(6,73),(7,11),(7,68),(8,94),(9,10),(9,100),(10,8),(10,105),(11,9),(11,32),(11,67),(12,24),(12,88),(13,22),(13,97),(14,23),(14,87),(15,21),(15,98),(16,44),(16,79),(17,48),(17,83),(18,49),(18,85),(19,45),(19,78),(20,76),(20,101),(21,75),(21,77),(22,50),(22,82),(23,50),(23,84),(24,43),(24,80),(25,33),(25,103),(25,104),(26,28),(26,81),(26,102),(27,46),(27,47),(28,55),(28,56),(29,38),(29,72),(30,7),(30,72),(30,74),(31,5),(31,38),(31,74),(32,65),(32,66),(32,100),(33,58),(33,66),(33,89),(34,108),(35,109),(36,110),(36,116),(37,112),(37,116),(38,13),(38,111),(39,3),(39,113),(40,117),(41,123),(42,113),(43,119),(44,12),(44,120),(45,2),(45,122),(46,109),(47,109),(48,4),(48,112),(49,20),(49,121),(50,107),(51,54),(52,47),(53,90),(54,46),(55,57),(55,115),(56,43),(56,115),(57,77),(57,123),(58,92),(58,118),(59,102),(60,52),(61,35),(62,35),(63,36),(63,121),(64,34),(64,120),(65,73),(65,118),(66,86),(66,118),(67,6),(67,65),(68,67),(69,51),(70,52),(71,45),(71,110),(72,68),(72,111),(73,26),(73,59),(74,25),(74,96),(74,111),(75,54),(76,53),(77,61),(78,39),(78,122),(79,76),(79,120),(80,60),(80,119),(81,56),(81,108),(82,93),(82,107),(83,40),(83,112),(84,91),(84,107),(85,19),(85,71),(85,121),(86,64),(86,79),(87,84),(87,106),(88,80),(88,90),(89,49),(89,63),(90,60),(90,70),(91,36),(91,71),(91,114),(92,37),(92,48),(93,37),(93,83),(93,114),(94,34),(94,81),(95,41),(95,57),(96,87),(96,104),(97,82),(97,99),(98,51),(98,75),(99,17),(99,92),(99,93),(100,16),(100,86),(100,105),(101,39),(101,42),(102,55),(102,95),(102,108),(103,58),(103,99),(104,18),(104,89),(104,106),(105,44),(105,64),(105,94),(106,63),(106,85),(106,91),(107,114),(108,41),(108,115),(110,42),(110,122),(111,97),(111,103),(112,15),(112,117),(113,1),(114,40),(114,116),(115,119),(115,123),(116,117),(117,98),(118,59),(119,62),(120,53),(120,88),(121,78),(121,101),(121,110),(122,69),(122,113),(123,61),(123,62)],124)
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,16),(0,17),(0,28),(1,22),(2,19),(3,11),(3,21),(4,54),(5,55),(6,26),(6,57),(7,25),(7,67),(8,23),(8,64),(9,24),(9,65),(10,14),(10,56),(11,15),(11,58),(12,3),(12,37),(13,27),(13,66),(14,59),(15,60),(16,13),(16,53),(17,6),(17,61),(18,51),(18,52),(19,33),(19,34),(20,35),(20,36),(21,50),(21,58),(22,18),(22,59),(22,60),(23,41),(23,43),(24,42),(24,44),(25,50),(25,63),(26,29),(26,46),(27,29),(27,45),(28,12),(28,53),(28,61),(29,70),(30,71),(31,69),(32,68),(33,68),(34,68),(35,4),(35,69),(36,5),(36,69),(37,1),(38,33),(39,34),(40,64),(41,48),(42,49),(43,38),(44,39),(45,62),(45,70),(46,56),(46,70),(47,65),(48,32),(49,32),(50,40),(51,42),(51,71),(52,41),(52,71),(53,7),(53,66),(54,38),(55,39),(56,9),(56,47),(57,10),(57,46),(58,8),(58,40),(59,30),(59,51),(60,30),(60,52),(61,37),(61,57),(62,31),(62,36),(63,31),(63,35),(64,43),(64,54),(65,44),(65,55),(66,45),(66,67),(67,20),(67,62),(67,63),(69,2),(70,47),(71,48),(71,49)],72)
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,14),(0,15),(0,28),(1,26),(2,13),(2,25),(3,16),(4,7),(4,53),(5,54),(6,72),(7,74),(8,2),(8,30),(9,21),(9,52),(10,17),(10,73),(11,19),(11,64),(12,20),(12,65),(13,18),(13,23),(13,78),(14,12),(14,47),(15,9),(15,66),(16,40),(16,60),(17,63),(17,76),(18,62),(18,75),(19,56),(19,58),(20,43),(20,59),(21,43),(21,57),(22,41),(22,42),(23,62),(23,79),(24,29),(24,61),(24,77),(25,63),(25,78),(26,27),(26,74),(26,79),(27,46),(27,67),(28,8),(28,47),(28,66),(29,35),(29,51),(29,55),(30,1),(31,84),(32,82),(33,81),(33,87),(34,83),(35,80),(35,85),(36,80),(36,82),(37,87),(38,86),(39,89),(40,81),(41,6),(41,84),(42,5),(42,84),(43,90),(44,40),(45,60),(45,86),(46,56),(46,91),(47,10),(47,65),(48,64),(49,33),(49,88),(50,32),(50,91),(51,45),(51,85),(52,4),(52,57),(53,11),(53,48),(54,44),(55,49),(55,80),(56,69),(57,53),(57,90),(58,44),(59,70),(59,90),(60,39),(60,81),(61,35),(61,83),(62,71),(63,68),(64,54),(64,58),(65,59),(65,73),(66,30),(66,52),(67,36),(67,55),(67,91),(68,34),(68,77),(69,33),(69,37),(70,31),(70,42),(71,32),(71,36),(72,38),(72,45),(73,22),(73,70),(73,76),(74,46),(74,50),(75,34),(75,61),(76,31),(76,41),(77,51),(77,72),(77,83),(78,24),(78,68),(78,75),(79,50),(79,67),(79,71),(80,88),(81,89),(82,37),(82,88),(83,38),(83,85),(84,3),(85,86),(86,39),(87,89),(88,87),(90,48),(91,49),(91,69),(91,82)],92)
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,14),(0,15),(0,31),(1,29),(2,13),(2,28),(3,4),(3,73),(4,109),(5,2),(5,40),(6,32),(6,107),(7,25),(7,117),(8,26),(8,106),(9,27),(9,75),(10,23),(10,76),(11,22),(11,115),(12,24),(12,34),(12,116),(13,17),(13,18),(13,114),(14,12),(14,74),(15,10),(15,102),(16,88),(16,110),(17,97),(17,119),(18,97),(18,111),(19,84),(19,87),(20,85),(20,89),(21,35),(21,96),(21,112),(22,90),(22,113),(23,91),(23,92),(24,93),(24,95),(25,98),(25,118),(26,83),(26,86),(27,54),(27,94),(28,98),(28,114),(29,30),(29,109),(29,119),(30,64),(30,104),(31,5),(31,74),(31,102),(32,46),(32,72),(32,80),(33,39),(33,53),(33,82),(34,81),(34,92),(34,93),(35,66),(35,78),(35,79),(36,143),(37,144),(38,9),(39,8),(39,137),(40,1),(41,127),(42,128),(42,132),(43,129),(44,129),(44,136),(45,126),(45,137),(46,122),(46,130),(47,122),(47,123),(48,124),(48,126),(49,131),(50,135),(51,132),(52,123),(53,16),(53,124),(53,137),(54,128),(55,94),(55,131),(56,75),(57,71),(58,47),(58,141),(59,51),(60,80),(60,145),(61,85),(61,134),(62,55),(63,49),(64,90),(64,139),(65,56),(65,145),(66,58),(66,136),(67,59),(68,42),(69,42),(69,133),(70,43),(70,139),(71,41),(71,138),(72,55),(72,130),(73,11),(73,108),(74,7),(74,116),(75,54),(76,3),(76,91),(77,46),(77,127),(78,60),(78,125),(79,84),(79,125),(79,136),(80,69),(80,122),(81,101),(81,120),(81,121),(82,20),(82,61),(82,124),(83,62),(84,67),(84,140),(85,86),(85,138),(86,63),(87,56),(87,140),(88,38),(89,77),(89,138),(90,99),(91,73),(91,120),(92,36),(92,120),(93,36),(93,121),(94,50),(94,128),(95,103),(95,121),(96,19),(96,79),(96,144),(97,105),(98,100),(99,47),(99,52),(100,37),(100,112),(101,48),(101,82),(101,142),(102,40),(102,76),(103,39),(103,45),(103,142),(104,44),(104,66),(104,139),(105,43),(105,44),(106,38),(106,83),(107,62),(107,72),(108,57),(108,115),(109,64),(109,70),(110,60),(110,65),(111,37),(111,96),(112,78),(112,110),(112,144),(113,41),(113,77),(114,21),(114,100),(114,111),(115,71),(115,89),(115,113),(116,81),(116,95),(116,117),(117,33),(117,101),(117,103),(117,118),(118,45),(118,48),(118,53),(119,70),(119,104),(119,105),(120,108),(120,143),(121,142),(121,143),(122,133),(123,51),(123,133),(124,6),(124,134),(125,140),(125,145),(126,134),(127,49),(127,130),(128,135),(129,52),(129,141),(130,131),(131,50),(132,135),(133,132),(134,107),(136,67),(136,141),(137,88),(137,106),(138,63),(138,127),(139,58),(139,99),(139,129),(140,68),(141,59),(141,123),(142,61),(142,126),(143,57),(144,65),(144,87),(144,125),(145,68),(145,69)],146)
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>([(0,16),(0,17),(0,43),(1,15),(1,41),(2,219),(3,50),(3,132),(4,192),(5,49),(5,191),(6,1),(6,131),(7,203),(8,147),(9,46),(9,220),(10,29),(10,218),(11,34),(11,55),(12,35),(12,102),(13,36),(13,180),(14,18),(14,45),(14,214),(15,26),(15,27),(15,213),(16,14),(16,115),(17,25),(17,39),(17,216),(18,164),(18,172),(19,53),(19,212),(19,223),(20,90),(20,168),(21,92),(21,165),(22,159),(22,169),(23,167),(23,211),(24,91),(24,162),(25,163),(25,176),(26,175),(26,209),(27,175),(27,222),(28,166),(28,205),(29,174),(29,221),(30,152),(30,208),(31,154),(31,158),(32,150),(32,160),(33,153),(33,204),(34,156),(34,157),(35,151),(35,155),(36,89),(36,207),(37,88),(37,161),(38,52),(38,170),(38,206),(39,51),(39,171),(39,176),(40,42),(40,173),(40,210),(41,174),(41,213),(42,109),(42,185),(43,6),(43,115),(43,216),(44,129),(44,130),(44,190),(45,126),(45,128),(45,172),(46,77),(46,125),(46,195),(47,65),(47,127),(47,148),(48,66),(48,87),(48,149),(49,62),(49,95),(49,96),(50,44),(50,184),(50,185),(50,222),(51,105),(51,108),(51,126),(52,104),(52,106),(52,107),(53,111),(53,116),(53,178),(54,290),(55,13),(56,269),(56,289),(57,238),(57,295),(58,229),(58,230),(59,240),(59,288),(60,240),(60,287),(61,12),(62,230),(62,239),(63,271),(63,296),(64,297),(65,287),(65,288),(66,5),(66,282),(67,244),(68,243),(68,265),(69,251),(69,289),(70,245),(70,272),(71,251),(71,264),(72,250),(73,224),(73,243),(74,225),(74,241),(75,249),(76,241),(76,282),(77,238),(77,258),(78,245),(78,249),(79,290),(80,266),(81,293),(82,277),(83,244),(84,246),(85,254),(85,270),(86,252),(87,28),(87,225),(87,282),(88,235),(89,226),(90,259),(91,37),(91,281),(92,32),(92,279),(93,102),(94,132),(95,100),(95,230),(96,137),(96,239),(97,11),(97,122),(98,84),(98,295),(99,67),(100,85),(100,263),(101,125),(101,283),(102,151),(103,83),(104,101),(104,227),(105,173),(105,233),(105,236),(106,145),(106,231),(107,169),(107,227),(107,231),(108,91),(108,236),(109,122),(109,286),(110,93),(110,283),(111,188),(111,276),(112,127),(112,275),(113,148),(113,275),(114,144),(115,10),(115,214),(116,181),(116,276),(117,71),(118,77),(118,232),(119,89),(119,224),(120,123),(120,278),(121,68),(121,232),(122,55),(123,60),(123,292),(124,59),(124,231),(124,292),(125,136),(125,238),(126,135),(126,233),(127,180),(127,287),(128,182),(128,233),(128,291),(129,113),(129,228),(130,111),(130,228),(130,278),(131,3),(131,94),(132,4),(132,184),(133,168),(134,143),(134,260),(135,158),(135,242),(136,142),(136,256),(137,141),(137,253),(138,70),(138,255),(139,73),(139,257),(139,274),(140,70),(140,250),(141,155),(141,254),(141,296),(142,78),(142,234),(142,255),(143,68),(143,229),(143,257),(144,56),(144,226),(144,246),(145,57),(145,248),(146,63),(146,253),(147,20),(147,133),(148,23),(148,194),(148,288),(149,30),(149,197),(149,225),(150,103),(151,75),(151,234),(152,118),(152,285),(153,186),(154,200),(154,294),(155,80),(155,234),(156,119),(156,274),(157,81),(157,274),(158,88),(158,294),(159,93),(159,284),(160,99),(161,193),(161,235),(162,97),(162,281),(163,94),(163,280),(164,183),(164,291),(165,54),(165,279),(166,61),(167,72),(167,262),(168,67),(168,259),(169,33),(169,199),(169,284),(170,22),(170,107),(170,297),(171,40),(171,105),(171,280),(172,31),(172,135),(172,291),(173,19),(173,198),(173,247),(174,187),(175,2),(175,215),(176,24),(176,108),(176,280),(177,142),(177,186),(178,118),(178,121),(179,121),(179,143),(179,285),(180,117),(180,207),(181,73),(181,119),(182,74),(182,149),(182,237),(183,66),(183,76),(183,237),(184,129),(184,192),(184,286),(185,120),(185,130),(185,286),(186,75),(186,78),(187,64),(187,206),(188,57),(188,98),(189,58),(189,62),(189,277),(190,106),(190,124),(190,278),(191,61),(191,96),(192,47),(192,112),(192,113),(193,139),(193,157),(193,260),(194,144),(194,211),(194,261),(195,63),(195,141),(195,258),(196,138),(196,140),(197,189),(197,208),(197,268),(198,202),(198,223),(199,196),(199,204),(200,82),(200,189),(201,193),(201,217),(202,134),(202,179),(203,54),(203,79),(204,72),(204,140),(205,101),(205,110),(206,104),(206,205),(206,297),(207,69),(207,71),(207,226),(208,58),(208,95),(208,285),(209,64),(209,170),(210,97),(210,109),(210,247),(211,56),(211,69),(211,262),(212,116),(212,217),(213,38),(213,187),(213,209),(214,128),(214,164),(214,218),(215,123),(215,124),(215,219),(216,131),(216,163),(216,171),(217,139),(217,156),(217,181),(218,48),(218,182),(218,183),(218,221),(219,59),(219,60),(219,65),(220,137),(220,146),(220,195),(221,74),(221,76),(221,87),(222,120),(222,190),(222,215),(223,152),(223,178),(223,179),(224,92),(224,267),(225,9),(225,268),(226,264),(226,289),(227,283),(227,284),(228,275),(228,276),(229,263),(229,265),(230,7),(230,263),(231,199),(231,248),(232,85),(232,258),(232,265),(233,198),(233,242),(234,249),(234,266),(235,260),(236,247),(236,281),(237,197),(237,200),(237,241),(238,256),(239,253),(240,84),(240,261),(241,82),(241,268),(242,202),(242,294),(243,267),(245,273),(246,264),(246,269),(247,201),(247,212),(248,196),(248,295),(249,90),(249,273),(250,86),(250,272)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[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]=>([(0,3),(2,1),(3,2)],4)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,3),(0,4),(1,2),(1,17),(2,12),(3,16),(4,5),(4,6),(4,16),(5,11),(5,14),(6,7),(6,13),(6,14),(7,8),(7,10),(8,19),(10,19),(11,1),(11,18),(12,9),(13,10),(13,18),(14,8),(14,18),(15,9),(16,11),(16,13),(17,12),(17,15),(18,17),(18,19),(19,15)],20)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,4),(0,5),(1,18),(2,3),(2,19),(3,15),(4,1),(4,16),(5,2),(5,16),(6,7),(6,12),(6,17),(7,9),(7,13),(8,23),(9,22),(10,21),(11,10),(11,20),(12,9),(12,20),(13,8),(13,22),(14,8),(14,21),(15,10),(15,14),(16,6),(16,18),(16,19),(17,13),(17,14),(17,20),(18,11),(18,12),(19,11),(19,15),(19,17),(20,21),(20,22),(21,23),(22,23)],24)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,4),(0,5),(1,22),(2,3),(2,23),(3,19),(4,1),(4,20),(5,2),(5,20),(6,10),(6,14),(7,8),(7,15),(7,21),(8,16),(8,17),(9,28),(10,26),(11,25),(12,27),(13,11),(13,29),(14,12),(14,26),(15,6),(15,16),(15,29),(16,10),(16,24),(17,9),(17,24),(18,9),(18,25),(19,11),(19,18),(20,7),(20,22),(20,23),(21,17),(21,18),(21,29),(22,13),(22,15),(23,13),(23,19),(23,21),(24,26),(24,28),(25,12),(25,28),(26,27),(28,27),(29,14),(29,24),(29,25)],30)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>([(0,7),(0,8),(1,6),(1,22),(2,4),(2,24),(3,5),(3,23),(4,19),(5,14),(6,15),(7,2),(7,20),(8,3),(8,20),(9,13),(9,17),(11,26),(12,26),(13,1),(13,27),(14,21),(15,10),(16,11),(16,27),(17,12),(17,27),(18,10),(19,13),(19,16),(20,23),(20,24),(21,11),(21,12),(22,15),(22,18),(23,14),(23,25),(24,9),(24,19),(24,25),(25,16),(25,17),(25,21),(26,18),(27,22),(27,26)],28)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,1),(0,2),(1,14),(2,3),(2,5),(2,14),(3,9),(3,13),(4,8),(4,10),(5,6),(5,12),(5,13),(6,7),(6,11),(7,15),(8,16),(9,17),(10,16),(11,10),(11,15),(12,7),(12,17),(13,4),(13,11),(13,17),(14,9),(14,12),(15,16),(17,8),(17,15)],18)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,3),(0,4),(1,2),(1,22),(2,21),(3,20),(4,6),(4,7),(4,20),(5,10),(5,15),(6,8),(6,16),(6,17),(7,13),(7,17),(8,9),(8,14),(9,27),(10,23),(11,24),(12,24),(13,1),(13,26),(14,10),(14,27),(15,18),(15,23),(16,9),(16,26),(17,5),(17,14),(17,26),(18,11),(18,25),(19,12),(19,25),(20,13),(20,16),(21,11),(21,12),(22,18),(22,19),(22,21),(23,25),(25,24),(26,15),(26,22),(26,27),(27,19),(27,23)],28)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,26),(4,25),(5,7),(5,8),(5,25),(6,12),(6,24),(7,10),(7,21),(7,22),(8,16),(8,22),(9,13),(9,15),(10,11),(10,18),(11,30),(12,31),(13,33),(14,29),(15,1),(15,33),(16,2),(16,28),(18,12),(18,30),(19,9),(19,20),(19,32),(20,15),(20,29),(21,11),(21,28),(22,6),(22,18),(22,28),(23,14),(23,32),(24,19),(24,31),(25,16),(25,21),(26,14),(26,20),(27,19),(27,23),(27,26),(28,24),(28,27),(28,30),(29,33),(30,23),(30,31),(31,32),(32,13),(32,29),(33,17)],34)
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,6),(0,7),(2,5),(2,16),(3,4),(3,17),(4,14),(5,12),(6,13),(7,2),(7,13),(8,10),(8,11),(9,18),(10,18),(11,18),(12,15),(13,3),(13,16),(14,9),(14,10),(15,9),(15,11),(16,12),(16,17),(17,8),(17,14),(17,15),(18,1)],19)
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,5),(0,6),(1,16),(2,24),(3,4),(3,25),(4,19),(5,2),(5,20),(6,3),(6,20),(7,8),(7,18),(7,21),(8,14),(8,22),(9,11),(9,12),(9,13),(10,30),(10,31),(11,28),(11,31),(12,29),(12,31),(13,28),(13,29),(14,27),(15,26),(17,15),(17,32),(18,14),(18,32),(19,15),(19,23),(20,7),(20,24),(20,25),(21,9),(21,22),(21,23),(21,32),(22,10),(22,12),(22,27),(23,10),(23,11),(23,26),(24,17),(24,18),(25,17),(25,19),(25,21),(26,28),(26,30),(27,29),(27,30),(28,33),(29,33),(30,33),(31,1),(31,33),(32,13),(32,26),(32,27),(33,16)],34)
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,5),(0,6),(1,24),(2,30),(3,4),(3,31),(4,25),(5,2),(5,27),(6,3),(6,27),(7,9),(7,22),(7,28),(8,17),(8,21),(9,23),(9,29),(10,16),(10,18),(10,19),(11,37),(13,35),(13,36),(14,38),(15,34),(16,36),(16,41),(17,40),(18,33),(18,41),(19,33),(19,36),(20,14),(20,39),(21,15),(21,40),(22,8),(22,23),(22,39),(23,17),(23,32),(24,12),(25,14),(25,26),(26,13),(26,19),(26,38),(27,7),(27,30),(27,31),(28,10),(28,26),(28,29),(28,39),(29,13),(29,16),(29,32),(30,20),(30,22),(31,20),(31,25),(31,28),(32,35),(32,40),(32,41),(33,42),(34,37),(35,34),(35,42),(36,1),(36,42),(37,12),(38,15),(38,33),(38,35),(39,18),(39,21),(39,32),(39,38),(40,11),(40,34),(41,11),(41,42),(42,24),(42,37)],43)
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,7),(0,8),(1,6),(1,29),(2,28),(3,36),(4,5),(4,37),(5,30),(6,22),(7,3),(7,32),(8,4),(8,32),(9,11),(9,24),(9,33),(10,17),(10,35),(11,25),(11,34),(12,15),(12,16),(12,27),(14,46),(15,45),(15,47),(16,39),(16,45),(17,48),(18,41),(19,44),(19,45),(20,40),(20,42),(21,1),(21,40),(22,13),(23,14),(23,38),(24,10),(24,25),(24,38),(25,17),(25,43),(26,13),(27,21),(27,39),(27,47),(28,26),(29,22),(30,14),(30,31),(31,16),(31,19),(31,46),(32,9),(32,36),(32,37),(33,12),(33,31),(33,34),(33,38),(34,15),(34,19),(34,43),(35,20),(35,21),(35,48),(36,23),(36,24),(37,23),(37,30),(37,33),(38,27),(38,35),(38,43),(38,46),(39,40),(39,49),(40,29),(41,26),(42,41),(43,44),(43,47),(43,48),(44,42),(44,49),(45,2),(45,49),(46,20),(46,39),(46,44),(47,18),(47,49),(48,18),(48,42),(49,28),(49,41)],50)
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>([(0,9),(0,10),(2,18),(3,7),(3,33),(4,8),(4,31),(5,6),(5,30),(6,19),(7,29),(8,26),(9,5),(9,27),(10,4),(10,27),(11,16),(11,25),(12,17),(12,24),(13,38),(14,35),(15,35),(16,34),(17,3),(17,37),(18,1),(19,28),(20,16),(20,38),(21,13),(21,37),(22,15),(22,36),(23,14),(23,36),(24,11),(24,20),(24,37),(25,23),(25,34),(26,17),(26,21),(27,30),(27,31),(28,13),(28,20),(29,14),(29,15),(30,19),(30,32),(31,12),(31,26),(31,32),(32,21),(32,24),(32,28),(33,22),(33,23),(33,29),(34,36),(35,18),(36,2),(36,35),(37,25),(37,33),(37,38),(38,22),(38,34)],39)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,4),(0,6),(1,8),(1,13),(2,8),(2,12),(3,11),(4,9),(5,3),(5,10),(6,7),(6,9),(7,1),(7,2),(7,14),(8,5),(8,15),(9,14),(10,11),(12,15),(13,15),(14,12),(14,13),(15,10)],16)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,7),(1,11),(2,8),(3,9),(3,13),(4,9),(4,12),(5,1),(5,10),(6,3),(6,4),(6,8),(7,2),(7,6),(8,12),(8,13),(9,5),(9,14),(10,11),(12,14),(13,14),(14,10)],15)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,3),(1,4),(2,5),(2,18),(3,6),(3,19),(4,7),(4,8),(4,19),(5,13),(6,17),(7,12),(7,15),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,9),(14,10),(14,20),(15,11),(15,20),(16,9),(17,10),(17,11),(18,13),(18,16),(19,14),(19,15),(19,17),(20,18),(20,21),(21,16)],22)
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,6),(0,7),(1,5),(1,26),(2,4),(2,24),(3,8),(3,9),(3,25),(4,14),(5,22),(6,21),(7,3),(7,21),(8,13),(8,20),(9,13),(9,19),(11,29),(12,29),(13,2),(13,27),(14,17),(15,11),(15,28),(16,12),(16,28),(17,10),(18,10),(19,15),(19,27),(20,16),(20,27),(21,1),(21,25),(22,11),(22,12),(23,17),(23,18),(24,14),(24,23),(25,19),(25,20),(25,26),(26,15),(26,16),(26,22),(27,24),(27,28),(28,23),(28,29),(29,18)],30)
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,4),(1,5),(2,16),(3,6),(3,17),(4,18),(5,7),(5,8),(5,18),(6,13),(7,11),(7,14),(8,10),(8,11),(10,19),(11,3),(11,19),(12,9),(13,9),(14,16),(14,19),(15,12),(16,15),(17,12),(17,13),(18,2),(18,10),(18,14),(19,15),(19,17)],20)
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,3),(1,4),(2,6),(2,24),(3,5),(3,25),(4,8),(4,9),(4,25),(5,23),(6,21),(7,10),(7,16),(8,15),(8,22),(9,15),(9,17),(10,26),(11,29),(12,26),(12,29),(13,28),(14,28),(15,2),(15,27),(16,19),(16,26),(17,11),(17,27),(18,14),(18,30),(19,18),(19,31),(20,13),(20,30),(21,13),(21,14),(22,12),(22,16),(22,27),(23,10),(23,11),(23,12),(24,18),(24,20),(24,21),(25,7),(25,17),(25,22),(25,23),(26,31),(27,19),(27,24),(27,29),(29,20),(29,31),(30,28),(31,30)],32)
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,4),(1,5),(2,7),(2,29),(3,25),(4,6),(4,30),(5,9),(5,10),(5,30),(6,28),(7,26),(8,16),(8,19),(9,17),(9,20),(10,17),(10,27),(12,35),(13,31),(14,31),(15,33),(15,35),(16,3),(16,33),(17,2),(17,32),(18,14),(18,34),(19,21),(19,33),(20,12),(20,32),(21,18),(21,36),(22,23),(23,11),(24,13),(24,34),(25,22),(26,13),(26,14),(27,15),(27,19),(27,32),(28,12),(28,15),(28,16),(29,18),(29,24),(29,26),(30,8),(30,20),(30,27),(30,28),(31,11),(32,21),(32,29),(32,35),(33,25),(33,36),(34,23),(34,31),(35,24),(35,36),(36,22),(36,34)],37)
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,7),(0,8),(1,6),(1,36),(2,29),(3,5),(3,32),(4,10),(4,11),(4,35),(5,20),(6,33),(7,28),(8,4),(8,28),(9,15),(9,21),(10,18),(10,23),(11,18),(11,22),(12,38),(13,38),(15,39),(16,42),(17,39),(17,42),(18,3),(18,37),(19,16),(19,40),(20,31),(21,26),(21,39),(22,19),(22,37),(23,30),(23,37),(24,13),(24,41),(25,14),(26,24),(26,43),(27,12),(27,41),(28,1),(28,35),(29,25),(30,17),(30,21),(30,40),(31,12),(31,13),(32,20),(32,34),(33,15),(33,16),(33,17),(34,24),(34,27),(34,31),(35,22),(35,23),(35,36),(36,9),(36,19),(36,30),(36,33),(37,32),(37,40),(38,14),(39,2),(39,43),(40,26),(40,34),(40,42),(41,25),(41,38),(42,27),(42,43),(43,29),(43,41)],44)
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,2),(1,6),(2,4),(2,5),(3,7),(3,22),(4,23),(5,9),(5,10),(5,23),(6,20),(7,15),(8,12),(8,14),(9,13),(9,17),(10,13),(10,18),(12,1),(13,3),(13,24),(14,19),(15,16),(16,11),(17,14),(17,24),(18,12),(18,24),(19,21),(20,11),(21,16),(21,20),(22,15),(22,21),(23,8),(23,17),(23,18),(24,19),(24,22)],25)
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,4),(1,5),(2,6),(2,31),(3,8),(3,25),(4,7),(4,32),(5,9),(5,10),(5,32),(6,26),(7,30),(8,17),(8,22),(9,19),(9,27),(10,19),(10,28),(11,13),(11,18),(11,20),(12,40),(13,33),(13,34),(14,38),(15,34),(15,36),(16,33),(16,36),(17,37),(18,3),(18,34),(19,2),(19,35),(20,23),(20,33),(21,12),(21,38),(22,12),(22,37),(23,29),(23,41),(24,14),(24,39),(25,17),(26,14),(26,21),(27,16),(27,20),(27,35),(28,15),(28,18),(28,35),(29,21),(29,22),(29,39),(30,13),(30,15),(30,16),(31,24),(31,26),(31,29),(32,11),(32,27),(32,28),(32,30),(33,41),(34,25),(35,23),(35,31),(35,36),(36,24),(36,41),(37,40),(38,40),(39,37),(39,38),(41,39)],42)
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,4),(1,5),(2,6),(2,39),(3,9),(3,37),(4,7),(4,40),(5,10),(5,11),(5,40),(6,34),(7,38),(8,28),(8,29),(9,24),(9,25),(10,21),(10,36),(11,21),(11,35),(12,19),(12,20),(12,26),(13,45),(14,43),(15,42),(16,41),(17,48),(17,49),(18,46),(18,49),(19,8),(19,46),(19,48),(20,3),(20,48),(21,2),(21,47),(22,16),(23,15),(23,45),(24,16),(24,44),(25,15),(25,44),(26,30),(26,46),(27,32),(28,27),(29,22),(30,33),(30,51),(31,13),(31,50),(32,14),(32,41),(33,23),(33,25),(33,50),(34,13),(34,23),(35,18),(35,26),(35,47),(36,17),(36,20),(36,47),(37,22),(37,24),(38,17),(38,18),(38,19),(39,31),(39,33),(39,34),(40,12),(40,35),(40,36),(40,38),(41,43),(42,43),(44,41),(44,42),(45,14),(45,42),(46,28),(46,51),(47,30),(47,39),(47,49),(48,29),(48,37),(49,31),(49,51),(50,32),(50,44),(50,45),(51,27),(51,50)],52)
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,5),(1,6),(2,36),(3,7),(3,43),(4,12),(4,41),(5,8),(5,44),(6,10),(6,11),(6,44),(7,38),(8,42),(9,29),(9,30),(10,22),(10,40),(11,22),(11,39),(12,24),(12,25),(13,20),(13,21),(13,27),(14,45),(15,46),(17,47),(18,51),(18,53),(19,49),(19,53),(20,9),(20,49),(20,51),(21,4),(21,51),(22,3),(22,50),(23,14),(23,46),(24,26),(24,48),(25,14),(25,48),(26,36),(26,52),(27,31),(27,49),(28,34),(29,28),(30,35),(31,37),(31,55),(32,15),(32,54),(33,16),(34,17),(34,52),(35,2),(35,26),(36,33),(37,23),(37,25),(37,54),(38,15),(38,23),(39,19),(39,27),(39,50),(40,18),(40,21),(40,50),(41,24),(41,35),(42,18),(42,19),(42,20),(43,32),(43,37),(43,38),(44,13),(44,39),(44,40),(44,42),(45,47),(46,17),(46,45),(47,16),(48,45),(48,52),(49,29),(49,55),(50,31),(50,43),(50,53),(51,30),(51,41),(52,33),(52,47),(53,32),(53,55),(54,34),(54,46),(54,48),(55,28),(55,54)],56)
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,9),(0,10),(1,42),(2,24),(3,8),(3,46),(4,7),(4,41),(5,11),(5,36),(6,12),(6,13),(6,45),(7,27),(8,44),(9,35),(10,6),(10,35),(11,33),(11,34),(12,23),(12,31),(13,23),(13,32),(14,19),(14,22),(14,28),(15,54),(16,52),(17,53),(17,56),(18,55),(18,56),(19,53),(19,55),(20,48),(21,51),(22,5),(22,55),(23,4),(23,50),(25,21),(25,54),(26,20),(26,58),(27,38),(28,29),(28,53),(29,37),(29,49),(30,16),(30,48),(31,40),(31,50),(32,39),(32,50),(33,15),(33,47),(34,16),(34,47),(35,3),(35,45),(36,33),(37,30),(37,34),(37,58),(38,20),(38,30),(39,17),(39,28),(39,57),(40,18),(40,22),(40,57),(41,27),(41,43),(42,15),(42,25),(43,26),(43,37),(43,38),(44,17),(44,18),(44,19),(45,31),(45,32),(45,46),(46,14),(46,39),(46,40),(46,44),(47,52),(47,54),(48,21),(48,52),(49,42),(49,58),(50,41),(50,57),(51,24),(52,51),(53,1),(53,49),(54,2),(54,51),(55,36),(56,26),(56,49),(57,29),(57,43),(57,56),(58,25),(58,47),(58,48)],59)
[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,9),(1,13),(2,14),(4,12),(5,11),(6,1),(6,12),(7,3),(8,5),(8,15),(9,10),(10,4),(10,6),(11,14),(12,8),(12,13),(13,15),(14,7),(15,2),(15,11)],16)
[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,4),(1,5),(2,3),(2,19),(3,12),(4,25),(5,7),(5,8),(5,25),(6,16),(6,17),(7,11),(7,21),(7,24),(8,15),(8,24),(9,10),(9,22),(9,23),(10,14),(10,20),(11,13),(11,18),(13,26),(14,27),(15,29),(16,2),(16,30),(17,30),(18,23),(18,26),(19,12),(20,16),(20,27),(21,13),(21,29),(22,14),(22,28),(23,6),(23,20),(23,28),(24,9),(24,18),(24,29),(25,15),(25,21),(26,28),(27,30),(28,17),(28,27),(29,22),(29,26),(30,19)],31)
[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,5),(1,6),(2,22),(3,4),(3,33),(4,20),(5,31),(6,7),(6,8),(6,31),(7,12),(7,28),(7,30),(8,27),(8,30),(9,18),(9,26),(10,11),(10,29),(10,34),(11,23),(11,24),(12,14),(12,19),(14,39),(15,40),(16,41),(17,36),(18,3),(18,38),(19,29),(19,39),(20,13),(21,13),(22,32),(23,18),(23,35),(24,15),(24,35),(25,15),(25,36),(26,16),(26,38),(27,22),(27,37),(28,14),(28,37),(29,9),(29,23),(29,42),(30,10),(30,19),(30,37),(31,2),(31,27),(31,28),(32,17),(32,25),(33,20),(33,21),(34,24),(34,25),(34,42),(35,38),(35,40),(36,16),(36,40),(37,32),(37,34),(37,39),(38,33),(38,41),(39,17),(39,42),(40,41),(41,21),(42,26),(42,35),(42,36)],43)
[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,2),(1,6),(2,4),(2,7),(3,5),(3,40),(4,41),(5,23),(6,37),(7,8),(7,9),(7,41),(8,33),(8,35),(9,14),(9,35),(9,42),(10,22),(10,32),(11,21),(11,31),(12,13),(12,34),(12,43),(13,29),(13,30),(14,17),(14,24),(16,51),(17,48),(18,51),(19,50),(20,45),(21,3),(21,47),(22,1),(23,27),(24,34),(24,48),(25,28),(26,16),(26,49),(27,15),(28,15),(29,26),(29,44),(30,21),(30,44),(31,19),(31,47),(32,39),(33,32),(33,46),(34,11),(34,30),(34,52),(35,12),(35,24),(35,46),(36,27),(36,28),(37,16),(37,18),(38,26),(38,37),(38,45),(39,20),(39,38),(40,23),(40,36),(41,10),(41,33),(41,42),(42,17),(42,22),(42,46),(43,29),(43,38),(43,52),(44,47),(44,49),(45,18),(45,19),(45,49),(46,39),(46,43),(46,48),(47,40),(47,50),(48,20),(48,52),(49,50),(49,51),(50,25),(50,36),(51,25),(52,31),(52,44),(52,45)],53)
[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,1),(1,6),(1,7),(2,22),(3,15),(3,46),(4,9),(4,54),(5,8),(5,45),(6,55),(7,16),(7,17),(7,55),(8,31),(9,30),(10,14),(10,39),(10,53),(11,41),(11,43),(12,21),(12,42),(13,38),(13,44),(14,23),(14,26),(15,29),(15,51),(16,28),(16,37),(17,11),(17,37),(17,47),(19,62),(20,64),(21,4),(21,58),(22,5),(23,40),(23,57),(24,50),(25,46),(26,21),(26,57),(27,45),(28,38),(28,56),(29,22),(30,34),(31,35),(32,27),(32,62),(33,27),(33,63),(34,36),(35,18),(36,18),(37,10),(37,41),(37,56),(38,52),(39,12),(39,26),(39,61),(40,19),(40,59),(41,39),(41,60),(42,33),(42,58),(43,25),(43,60),(44,3),(44,25),(45,31),(46,2),(46,29),(47,43),(47,44),(47,56),(48,34),(48,50),(49,40),(49,51),(49,64),(50,35),(50,36),(51,19),(51,32),(52,20),(52,49),(53,23),(53,49),(53,61),(54,30),(54,48),(55,13),(55,28),(55,47),(56,52),(56,53),(56,60),(57,58),(57,59),(58,54),(58,63),(59,62),(59,63),(60,20),(60,61),(61,42),(61,57),(61,64),(62,24),(63,24),(63,48),(64,32),(64,33),(64,59)],65)
[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>([(0,14),(1,16),(2,18),(4,17),(5,24),(6,21),(7,22),(7,30),(8,23),(9,10),(9,18),(10,5),(10,26),(11,3),(12,8),(12,19),(13,4),(13,29),(14,15),(15,2),(15,9),(16,28),(17,22),(17,27),(18,13),(18,26),(19,23),(19,28),(20,27),(20,30),(21,11),(22,12),(22,31),(23,25),(24,20),(25,21),(26,24),(26,29),(27,31),(28,6),(28,25),(29,7),(29,17),(29,20),(30,1),(30,31),(31,16),(31,19)],32)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>([(0,3),(0,6),(0,7),(1,8),(1,12),(2,8),(2,11),(3,9),(3,10),(4,2),(4,13),(5,1),(5,14),(6,4),(6,9),(7,5),(7,10),(8,15),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>([(0,3),(0,4),(0,8),(1,7),(1,21),(2,6),(2,20),(3,2),(3,18),(4,1),(4,19),(5,12),(5,13),(6,11),(6,16),(7,11),(7,17),(8,5),(8,18),(8,19),(9,23),(10,23),(11,22),(12,14),(13,15),(14,9),(15,10),(16,9),(16,22),(17,10),(17,22),(18,12),(18,20),(19,13),(19,21),(20,14),(20,16),(21,15),(21,17),(22,23)],24)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>([(0,5),(0,6),(0,7),(0,8),(1,10),(1,45),(1,46),(2,9),(2,43),(2,44),(3,12),(3,48),(3,50),(4,11),(4,47),(4,49),(5,2),(5,39),(5,40),(6,1),(6,41),(6,42),(7,4),(7,39),(7,41),(8,3),(8,40),(8,42),(9,14),(9,19),(9,20),(10,14),(10,21),(10,22),(11,13),(11,23),(11,25),(12,13),(12,24),(12,26),(13,53),(13,54),(14,51),(14,52),(15,55),(15,57),(16,56),(16,57),(17,55),(17,58),(18,56),(18,58),(19,27),(19,51),(20,28),(20,52),(21,29),(21,51),(22,30),(22,52),(23,31),(23,53),(24,32),(24,53),(25,33),(25,54),(26,34),(26,54),(27,15),(27,59),(28,16),(28,60),(29,17),(29,59),(30,18),(30,60),(31,15),(31,61),(32,16),(32,61),(33,17),(33,62),(34,18),(34,62),(35,27),(35,31),(36,28),(36,32),(37,29),(37,33),(38,30),(38,34),(39,43),(39,47),(40,44),(40,48),(41,45),(41,49),(42,46),(42,50),(43,19),(43,35),(44,20),(44,36),(45,21),(45,37),(46,22),(46,38),(47,23),(47,35),(48,24),(48,36),(49,25),(49,37),(50,26),(50,38),(51,59),(52,60),(53,61),(54,62),(55,63),(56,63),(57,63),(58,63),(59,55),(60,56),(61,57),(62,58)],64)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,3),(0,4),(0,7),(1,5),(1,17),(2,6),(2,8),(2,18),(3,1),(3,13),(4,2),(4,14),(5,10),(5,15),(6,11),(6,16),(7,13),(7,14),(8,12),(8,15),(8,16),(9,21),(10,19),(11,20),(12,19),(12,20),(13,17),(14,18),(15,9),(15,19),(16,9),(16,20),(17,10),(18,11),(18,12),(19,21),(20,21)],22)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,7),(0,8),(1,13),(2,11),(3,10),(3,11),(4,5),(4,10),(5,1),(5,12),(6,2),(7,6),(8,9),(9,3),(9,4),(10,12),(10,16),(11,16),(12,13),(12,15),(13,14),(15,14),(16,15)],17)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,6),(0,7),(0,12),(1,5),(1,33),(2,11),(2,13),(2,32),(3,9),(3,34),(4,10),(4,29),(5,8),(5,30),(6,4),(6,20),(7,2),(7,22),(8,17),(8,26),(9,17),(9,27),(10,16),(10,28),(11,1),(11,19),(11,31),(12,20),(12,22),(13,18),(13,28),(13,31),(14,38),(15,38),(16,36),(17,35),(18,36),(18,37),(19,3),(19,37),(20,29),(21,23),(21,39),(22,32),(23,24),(24,14),(25,15),(26,14),(26,35),(27,15),(27,35),(28,21),(28,36),(29,16),(30,24),(30,26),(31,21),(31,33),(31,37),(32,18),(32,19),(33,23),(33,30),(34,25),(34,27),(35,38),(36,39),(37,34),(37,39),(39,25)],40)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,7),(0,8),(0,11),(1,25),(2,10),(2,24),(3,5),(3,12),(3,26),(4,28),(5,6),(5,29),(6,4),(6,27),(7,2),(7,19),(8,3),(8,18),(9,15),(9,16),(10,13),(10,23),(11,18),(11,19),(12,22),(12,23),(12,29),(13,31),(14,30),(15,30),(16,30),(17,20),(18,26),(19,24),(20,14),(21,16),(22,25),(22,31),(23,17),(23,31),(24,13),(25,9),(25,21),(26,1),(26,22),(27,20),(27,28),(28,14),(28,15),(29,17),(29,27),(31,21)],32)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,6),(0,7),(0,12),(1,29),(2,11),(2,28),(3,4),(3,13),(3,30),(4,5),(4,32),(5,8),(5,9),(5,34),(6,2),(6,21),(7,3),(7,20),(8,18),(8,27),(9,18),(9,33),(10,17),(10,26),(11,14),(11,25),(12,20),(12,21),(13,24),(13,25),(13,32),(14,39),(15,37),(16,36),(16,37),(17,36),(18,35),(19,38),(20,30),(21,28),(22,17),(23,31),(24,29),(24,39),(25,23),(25,39),(26,19),(26,36),(27,15),(27,35),(28,14),(29,10),(29,22),(30,1),(30,24),(31,15),(31,16),(32,23),(32,34),(33,16),(33,26),(33,35),(34,27),(34,31),(34,33),(35,19),(35,37),(36,38),(37,38),(39,22)],40)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,7),(0,8),(0,15),(1,51),(2,50),(3,14),(3,52),(4,5),(4,17),(4,53),(5,6),(5,45),(6,9),(6,10),(6,54),(7,4),(7,44),(8,3),(8,43),(9,29),(9,38),(10,29),(10,49),(11,24),(11,27),(12,28),(12,39),(13,36),(13,37),(14,30),(14,34),(15,13),(15,43),(15,44),(16,22),(16,35),(16,42),(17,30),(17,45),(17,47),(18,56),(19,57),(20,57),(20,66),(21,55),(21,56),(22,55),(22,61),(23,11),(23,58),(24,59),(25,62),(26,58),(27,59),(28,2),(28,66),(29,1),(29,64),(30,32),(30,65),(31,40),(31,63),(32,48),(33,19),(34,19),(34,65),(35,31),(35,55),(36,46),(37,33),(38,18),(38,64),(39,16),(39,41),(39,66),(40,24),(40,62),(41,22),(41,60),(42,23),(42,61),(43,37),(43,52),(44,36),(44,53),(45,32),(45,54),(46,20),(46,28),(47,20),(47,39),(47,65),(48,18),(48,21),(49,21),(49,35),(49,64),(50,23),(50,26),(51,25),(51,40),(52,33),(52,34),(53,12),(53,46),(53,47),(54,38),(54,48),(54,49),(55,63),(56,25),(56,63),(57,60),(58,27),(60,26),(60,61),(61,58),(62,59),(63,62),(64,31),(64,51),(64,56),(65,41),(65,57),(66,42),(66,50),(66,60)],67)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>([(0,23),(0,24),(0,25),(0,26),(1,118),(2,28),(2,62),(3,12),(3,117),(4,10),(4,134),(5,13),(5,14),(5,136),(6,58),(6,132),(7,97),(7,102),(8,59),(8,99),(9,96),(9,101),(10,57),(10,124),(11,56),(11,123),(12,20),(12,98),(12,137),(13,60),(13,122),(14,21),(14,60),(14,121),(15,22),(15,33),(15,133),(15,138),(16,30),(16,100),(16,131),(17,32),(17,126),(17,129),(18,31),(18,125),(18,130),(19,29),(19,127),(19,128),(20,86),(20,116),(21,70),(21,98),(22,5),(22,35),(22,111),(23,19),(23,108),(23,109),(24,15),(24,106),(24,107),(25,18),(25,106),(25,108),(26,17),(26,107),(26,109),(27,44),(27,61),(27,119),(28,40),(28,41),(28,47),(29,77),(29,80),(29,81),(30,48),(30,94),(30,95),(31,37),(31,76),(31,78),(32,37),(32,75),(32,79),(33,74),(33,81),(33,111),(33,112),(34,141),(34,178),(35,3),(35,139),(36,148),(36,188),(37,143),(37,144),(38,142),(38,159),(39,158),(40,141),(40,161),(41,141),(41,160),(42,175),(42,183),(43,142),(43,174),(43,187),(44,148),(44,173),(45,151),(45,166),(46,152),(46,159),(47,160),(47,161),(48,150),(48,164),(49,152),(49,169),(49,174),(50,182),(50,195),(51,155),(51,181),(52,154),(53,156),(53,180),(54,170),(55,8),(55,155),(55,156),(56,146),(57,194),(58,1),(58,165),(59,153),(60,4),(60,193),(61,82),(61,148),(62,47),(63,92),(64,56),(64,192),(65,49),(65,145),(65,147),(66,103),(66,191),(67,46),(67,147),(68,41),(68,185),(69,40),(69,184),(70,39),(70,149),(71,44),(71,179),(72,38),(72,189),(73,39),(73,188),(74,110),(74,139),(74,140),(75,114),(75,143),(76,115),(76,143),(77,72),(77,140),(78,93),(78,144),(79,91),(79,144),(80,67),(80,190),(81,66),(81,140),(81,190),(82,113),(82,171),(83,69),(83,151),(84,58),(84,169),(85,68),(85,154),(86,57),(86,157),(87,94),(87,175),(87,195),(88,34),(88,163),(89,34),(89,162),(90,45),(90,176),(91,46),(91,167),(92,42),(92,146),(92,158),(93,38),(93,167),(94,88),(94,164),(95,68),(95,150),(96,54),(96,187),(97,27),(97,71),(97,145),(98,86),(98,149),(99,69),(99,153),(100,48),(100,177),(101,11),(101,64),(101,187),(102,6),(102,84),(102,145),(103,36),(103,73),(104,72),(104,93),(105,67),(105,91),(106,125),(106,138),(107,126),(107,133),(108,127),(108,130),(109,128),(109,129),(110,43),(110,101),(110,189),(111,66),(111,136),(111,139),(112,65),(112,97),(112,190),(113,83),(113,99),(113,176),(114,49),(114,84),(114,168),(115,43),(115,96),(115,168),(116,42),(116,87),(116,157),(117,63),(117,137),(118,52),(118,85),(119,53),(119,55),(119,173),(120,9),(120,110),(120,115),(121,70),(121,73),(121,193),(122,36),(122,61),(122,193),(123,50),(123,87),(123,146),(124,45),(124,83),(124,194),(125,76),(125,120),(126,75),(126,135),(127,77),(127,104),(128,80),(128,105),(129,79),(129,105),(130,78),(130,104),(131,85),(131,95),(131,177),(132,51),(132,55),(132,165),(133,7),(133,112),(133,135),(134,90),(134,113),(134,124),(135,65),(135,102),(135,114),(136,103),(136,121),(136,122),(137,92),(137,116),(137,123),(137,149),(138,35),(138,74),(138,120),(139,117),(139,191),(140,189),(140,191),(141,197),(142,192),(142,198),(143,168),(144,167),(145,119),(145,132),(145,169),(145,179),(146,175),(146,182),(147,152),(147,179),(148,171),(149,50),(149,157),(149,158),(150,185),(151,184),(152,186),(152,198),(153,184),(154,185),(155,59),(155,199),(156,2),(156,199),(157,183),(157,194),(157,195),(158,182),(158,183),(159,198),(160,197),(161,197),(162,178),(163,178),(164,163),(165,118),(165,156),(165,181),(166,162),(167,159),(168,54),(168,174),(169,53),(169,165),(169,186),(170,131),(170,172),(171,176),(172,177),(173,155),(173,180),(174,170),(174,198),(175,164),(175,196),(176,151),(176,153),(177,150),(177,154),(178,197),(179,51),(179,173),(179,186),(180,199),(181,52),(181,199),(182,196),(183,166),(183,196),(184,161),(185,160),(186,180),(186,181),(187,16),(187,170),(187,192),(188,90),(188,171),(189,64),(189,142),(190,71),(190,147),(191,63),(192,100),(192,172),(193,82),(193,134),(193,188),(194,89),(194,166),(195,88),(195,89),(195,196),(196,162),(196,163),(198,172),(199,62)],200)
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20)
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,2),(0,3),(0,10),(1,9),(1,11),(1,31),(2,1),(2,24),(3,6),(3,8),(3,30),(4,18),(4,27),(5,19),(5,20),(6,17),(6,29),(7,15),(7,21),(8,12),(8,26),(8,29),(9,16),(9,28),(10,24),(10,30),(11,14),(11,23),(11,28),(12,13),(12,22),(12,23),(13,32),(13,33),(14,33),(14,39),(15,37),(16,39),(17,38),(18,36),(19,34),(20,34),(21,5),(21,37),(22,21),(22,32),(23,25),(23,33),(24,31),(25,27),(25,35),(26,13),(26,38),(27,19),(27,36),(28,4),(28,25),(28,39),(29,7),(29,22),(29,38),(30,17),(30,26),(31,14),(31,16),(32,37),(33,35),(35,36),(36,34),(37,20),(38,15),(38,32),(39,18),(39,35)],40)
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26)
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,2),(0,3),(1,8),(1,12),(2,1),(3,4),(3,7),(4,25),(5,17),(6,24),(7,13),(7,25),(8,10),(8,28),(9,27),(10,9),(10,29),(11,22),(11,23),(12,21),(12,28),(13,18),(13,21),(14,30),(15,30),(17,6),(18,17),(19,16),(20,15),(20,31),(21,26),(22,24),(22,31),(23,14),(23,31),(24,19),(25,5),(25,18),(26,20),(26,22),(27,14),(27,15),(28,11),(28,26),(28,29),(29,20),(29,23),(29,27),(30,16),(31,19),(31,30)],32)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,6),(0,7),(0,14),(1,52),(2,13),(2,17),(2,53),(3,5),(3,55),(4,49),(5,4),(5,54),(6,11),(6,12),(6,48),(7,2),(7,33),(8,25),(8,29),(9,27),(9,41),(10,24),(10,47),(11,21),(11,43),(12,16),(12,42),(12,43),(13,3),(13,30),(13,50),(14,33),(14,48),(15,40),(15,45),(15,46),(16,23),(16,32),(16,44),(17,19),(17,32),(17,50),(18,58),(19,57),(19,67),(20,10),(20,69),(21,56),(22,60),(23,57),(23,62),(24,63),(25,9),(25,59),(26,69),(27,68),(28,60),(29,59),(30,1),(30,67),(31,24),(31,58),(32,51),(32,57),(33,53),(34,22),(35,39),(35,65),(36,37),(37,28),(38,31),(38,66),(39,18),(39,66),(40,38),(40,65),(41,36),(41,68),(42,23),(42,56),(43,8),(43,44),(43,56),(44,25),(44,62),(45,20),(45,61),(46,41),(46,61),(46,65),(47,22),(47,63),(48,21),(48,42),(49,18),(49,31),(50,15),(50,51),(50,55),(50,67),(51,35),(51,46),(51,64),(52,20),(52,26),(53,19),(53,30),(54,38),(54,39),(54,49),(55,35),(55,40),(55,54),(56,29),(56,62),(57,64),(58,28),(58,63),(59,27),(61,68),(61,69),(62,59),(63,60),(64,26),(64,61),(65,36),(65,66),(66,37),(66,58),(67,45),(67,52),(67,64),(68,34),(69,34),(69,47)],70)
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40)
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,2),(0,3),(1,8),(1,16),(2,1),(3,6),(3,7),(4,36),(5,35),(6,17),(6,43),(7,10),(7,43),(8,9),(8,42),(9,11),(9,44),(10,40),(11,41),(12,28),(12,30),(13,21),(13,34),(14,20),(14,25),(15,31),(15,32),(16,29),(16,42),(17,29),(17,39),(18,45),(19,49),(20,12),(20,49),(21,47),(23,46),(24,5),(25,4),(25,49),(26,21),(26,45),(27,18),(27,48),(28,38),(29,37),(30,24),(31,28),(31,48),(32,13),(32,26),(32,48),(33,35),(33,46),(34,33),(34,47),(35,22),(36,24),(37,27),(37,31),(38,23),(38,33),(39,19),(39,20),(40,19),(40,25),(41,18),(41,26),(42,15),(42,37),(42,44),(43,14),(43,39),(43,40),(44,27),(44,32),(44,41),(45,23),(45,47),(46,22),(47,46),(48,34),(48,38),(48,45),(49,30),(49,36)],50)
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,2),(0,3),(1,9),(1,20),(2,1),(3,4),(3,8),(4,12),(4,59),(5,50),(6,51),(7,31),(8,21),(8,59),(9,13),(9,58),(10,54),(11,55),(12,10),(12,60),(13,11),(13,61),(14,39),(14,41),(15,40),(15,57),(16,29),(16,48),(17,30),(17,49),(18,27),(18,46),(19,45),(19,47),(20,42),(20,58),(21,42),(21,53),(22,62),(23,63),(24,69),(25,68),(26,14),(26,69),(27,15),(27,64),(28,7),(29,5),(29,66),(30,6),(30,67),(32,31),(33,39),(33,68),(34,32),(35,32),(36,28),(37,29),(37,62),(38,30),(38,63),(39,34),(40,56),(41,28),(42,52),(43,22),(43,65),(44,23),(44,64),(45,40),(45,65),(46,17),(46,38),(46,64),(47,16),(47,37),(47,65),(48,33),(48,66),(49,26),(49,67),(50,35),(51,36),(52,43),(52,45),(53,27),(53,44),(54,23),(54,38),(55,22),(55,37),(56,25),(56,33),(57,24),(57,26),(58,19),(58,52),(58,61),(59,18),(59,53),(59,60),(60,44),(60,46),(60,54),(61,43),(61,47),(61,55),(62,25),(62,66),(63,24),(63,67),(64,49),(64,57),(64,63),(65,48),(65,56),(65,62),(66,50),(66,68),(67,51),(67,69),(68,34),(68,35),(69,36),(69,41)],70)
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,15),(0,16),(0,32),(1,30),(2,127),(3,92),(4,126),(5,91),(6,7),(6,142),(7,124),(8,21),(8,131),(9,26),(9,141),(10,25),(10,138),(11,17),(11,34),(11,117),(12,24),(12,130),(13,9),(13,140),(14,6),(14,139),(15,11),(15,77),(16,27),(16,29),(16,122),(17,14),(17,61),(17,135),(18,112),(18,113),(19,108),(19,114),(20,60),(20,107),(21,62),(21,111),(22,59),(22,105),(23,103),(23,132),(24,104),(24,106),(25,63),(25,134),(26,63),(26,133),(27,37),(27,109),(27,137),(28,31),(28,110),(28,136),(29,13),(29,58),(29,137),(30,56),(30,57),(31,95),(31,96),(32,77),(32,122),(33,89),(33,90),(33,125),(34,41),(34,87),(34,135),(35,98),(35,99),(35,101),(36,42),(36,88),(36,102),(37,40),(37,87),(37,121),(38,148),(39,144),(40,147),(40,177),(41,147),(41,169),(42,33),(42,167),(42,168),(43,3),(43,145),(44,149),(44,157),(45,150),(45,157),(46,4),(46,156),(47,183),(48,145),(49,184),(50,155),(51,159),(52,146),(52,154),(53,146),(53,156),(54,28),(54,183),(55,23),(55,178),(56,144),(57,144),(58,10),(58,171),(59,8),(59,143),(60,5),(60,180),(61,2),(61,169),(62,152),(63,151),(64,45),(64,176),(65,43),(65,181),(66,69),(67,129),(68,74),(68,165),(69,73),(70,52),(70,178),(71,123),(72,57),(73,56),(74,104),(74,184),(75,84),(75,173),(76,44),(76,174),(77,117),(78,72),(79,110),(79,148),(80,78),(80,182),(81,50),(81,172),(82,103),(82,172),(83,64),(83,168),(84,38),(84,175),(85,39),(86,39),(87,128),(87,147),(88,100),(88,167),(89,115),(89,179),(90,118),(90,179),(91,66),(92,72),(93,113),(93,149),(93,158),(94,60),(94,162),(95,68),(95,160),(96,62),(96,160),(97,94),(97,150),(97,158),(98,89),(98,153),(98,173),(99,54),(99,153),(100,18),(100,93),(100,174),(101,22),(101,120),(101,173),(102,19),(102,119),(102,168),(103,71),(104,86),(105,82),(105,143),(106,73),(107,65),(107,180),(108,55),(108,170),(109,40),(109,171),(110,96),(110,164),(111,80),(111,152),(112,46),(112,163),(113,51),(113,163),(114,20),(114,94),(114,170),(115,81),(115,82),(116,80),(116,123),(117,41),(117,61),(118,46),(118,53),(119,97),(119,114),(119,176),(120,59),(120,79),(120,175),(121,42),(121,83),(121,177),(122,58),(122,109),(123,78),(123,92),(124,38),(124,79),(125,55),(125,70),(126,49),(126,74),(127,47),(127,54),(128,75),(128,98),(128,161),(129,68),(129,126),(129,155),(130,69),(130,106),(131,111),(131,116),(132,43),(132,48),(133,45),(133,97),(133,151),(134,44),(134,93),(134,151),(135,35),(135,128),(135,139),(135,169),(136,95),(136,129),(136,164),(137,36),(137,121),(137,140),(137,171),(138,76),(138,100),(138,134),(139,75),(139,101),(139,142),(140,83),(140,102),(140,141),(141,64),(141,119),(141,133),(142,84),(142,120),(142,124),(143,131),(143,172),(145,1),(146,166),(147,161),(148,50),(148,164),(149,53),(149,163),(149,185),(150,52),(150,162),(150,185),(151,157),(151,158),(152,182),(153,179),(153,183),(154,48),(154,181),(155,49),(155,165),(156,12),(156,166),(157,185),(158,51),(158,185),(159,166),(160,152),(160,165),(161,47),(161,153),(162,154),(162,180),(163,156),(163,159),(164,155),(164,160),(165,182),(165,184),(166,130),(167,90),(167,174),(168,108),(168,125),(168,176),(169,99),(169,127),(169,161),(170,107),(170,162),(170,178),(171,88),(171,138),(171,177),(172,71),(172,116),(173,105),(173,115),(173,175),(174,112),(174,118),(174,149),(175,81),(175,143),(175,148),(176,70),(176,150),(176,170),(177,76),(177,167),(178,65),(178,132),(178,154),(179,67),(180,91),(180,181),(181,66),(181,145),(182,85),(183,67),(183,136),(184,85),(184,86),(185,146),(185,159)],186)
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>([(0,15),(0,16),(0,30),(1,26),(2,14),(2,95),(3,78),(4,79),(5,92),(6,77),(7,29),(7,93),(8,27),(8,96),(9,28),(9,94),(10,12),(10,32),(10,80),(11,84),(12,13),(12,86),(13,11),(13,97),(14,19),(14,98),(15,10),(15,54),(16,2),(16,24),(16,76),(17,47),(17,71),(18,46),(18,72),(19,41),(19,91),(20,35),(20,73),(21,69),(21,87),(22,25),(22,75),(22,90),(23,45),(23,70),(24,31),(24,88),(24,95),(25,49),(25,50),(26,39),(26,40),(27,52),(27,53),(28,41),(28,89),(29,33),(29,57),(30,54),(30,76),(31,67),(31,68),(31,85),(32,56),(32,68),(32,86),(33,110),(34,106),(34,107),(35,21),(35,111),(36,100),(37,101),(37,106),(38,102),(39,102),(40,102),(41,99),(42,104),(43,113),(44,103),(45,6),(45,112),(46,7),(46,108),(47,5),(47,107),(48,3),(48,103),(49,55),(49,105),(50,33),(50,105),(51,61),(52,63),(53,61),(54,80),(55,52),(55,113),(56,79),(56,109),(57,60),(57,110),(58,90),(59,81),(60,62),(61,39),(62,40),(63,38),(64,38),(65,37),(65,111),(66,36),(66,108),(67,82),(67,109),(68,83),(68,109),(69,59),(70,48),(70,112),(71,42),(71,107),(72,69),(72,108),(73,23),(73,74),(73,111),(74,45),(74,101),(75,50),(75,100),(76,9),(76,88),(77,51),(78,62),(79,22),(79,58),(80,4),(80,56),(81,60),(81,78),(82,34),(82,47),(83,66),(83,72),(84,36),(84,75),(85,35),(85,65),(86,18),(86,83),(86,97),(87,44),(87,48),(88,67),(88,94),(89,34),(89,71),(89,99),(90,49),(90,92),(90,100),(91,37),(91,74),(91,99),(92,43),(92,55),(93,57),(93,81),(94,17),(94,82),(94,89),(95,20),(95,85),(95,98),(96,51),(96,53),(97,46),(97,66),(97,84),(98,65),(98,73),(98,91),(99,42),(99,106),(100,43),(100,105),(101,44),(101,112),(103,1),(104,96),(105,110),(105,113),(106,104),(107,8),(107,104),(108,59),(108,93),(109,58),(110,64),(111,70),(111,87),(111,101),(112,77),(112,103),(113,63),(113,64)],114)
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[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>([(0,5),(0,14),(0,15),(1,25),(2,9),(2,26),(3,13),(3,24),(4,16),(5,10),(5,11),(6,79),(7,73),(8,55),(9,6),(9,62),(10,17),(10,74),(11,19),(11,74),(12,20),(12,67),(13,18),(13,22),(13,80),(14,2),(14,31),(15,3),(15,31),(16,40),(16,64),(17,66),(17,77),(18,81),(18,84),(19,65),(19,78),(20,61),(20,63),(21,41),(21,42),(22,27),(22,81),(22,83),(23,29),(23,75),(23,76),(24,66),(24,80),(25,28),(25,79),(25,84),(26,62),(26,65),(27,48),(27,70),(28,50),(28,69),(29,58),(29,59),(29,60),(30,93),(30,96),(31,1),(32,89),(33,88),(34,87),(34,94),(35,90),(36,90),(36,93),(37,92),(38,98),(39,97),(40,87),(41,7),(41,89),(42,8),(42,89),(43,40),(44,64),(44,103),(45,39),(45,94),(46,37),(46,103),(47,38),(47,95),(48,72),(49,53),(49,100),(50,61),(50,100),(51,67),(52,34),(52,91),(53,35),(53,101),(54,33),(54,102),(55,43),(56,30),(56,88),(57,36),(57,86),(57,101),(58,44),(58,85),(59,52),(59,86),(60,30),(60,85),(60,86),(61,71),(62,12),(62,51),(63,43),(64,47),(64,87),(65,51),(66,68),(67,55),(67,63),(68,54),(68,76),(69,57),(69,59),(69,100),(70,33),(70,56),(71,34),(71,45),(72,35),(72,36),(73,44),(73,46),(74,21),(74,77),(74,78),(75,56),(75,60),(75,102),(76,58),(76,73),(76,102),(77,32),(77,41),(78,32),(78,42),(79,49),(79,50),(80,23),(80,68),(80,83),(81,48),(81,82),(82,53),(82,57),(82,72),(83,54),(83,70),(83,75),(84,49),(84,69),(84,82),(85,96),(85,103),(86,91),(86,93),(87,95),(88,37),(88,96),(89,4),(90,39),(90,99),(91,94),(91,99),(92,38),(93,99),(94,95),(94,97),(95,98),(96,92),(97,98),(99,97),(100,52),(100,71),(100,101),(101,45),(101,90),(101,91),(102,46),(102,85),(102,88),(103,47),(103,92)],104)
[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>([(0,5),(0,18),(0,19),(0,32),(1,27),(1,94),(2,22),(2,78),(3,6),(3,24),(3,121),(4,11),(4,23),(4,120),(5,12),(5,13),(5,124),(6,17),(6,29),(6,115),(6,136),(7,109),(7,139),(8,66),(8,113),(9,65),(9,137),(10,28),(10,114),(10,138),(11,15),(11,110),(11,116),(12,30),(12,111),(12,140),(13,31),(13,112),(13,140),(14,16),(14,125),(14,144),(15,36),(15,123),(16,86),(16,122),(17,14),(17,117),(17,143),(18,3),(18,40),(18,84),(19,4),(19,40),(19,85),(20,47),(20,59),(20,91),(21,51),(21,105),(21,132),(22,46),(22,48),(22,92),(23,39),(23,90),(23,116),(24,38),(24,93),(24,136),(25,60),(25,63),(25,64),(26,33),(26,128),(26,133),(26,135),(27,21),(27,68),(27,123),(27,142),(28,50),(28,96),(28,97),(29,77),(29,117),(29,142),(30,42),(30,90),(30,129),(31,43),(31,93),(31,130),(32,84),(32,85),(32,124),(33,89),(33,102),(33,103),(33,108),(34,150),(35,148),(35,200),(36,156),(37,153),(38,147),(38,149),(39,157),(39,210),(40,1),(40,211),(41,150),(41,173),(42,157),(42,185),(43,149),(43,186),(44,152),(44,173),(44,206),(45,151),(45,172),(45,205),(46,174),(46,216),(47,152),(47,175),(48,151),(48,174),(49,165),(49,166),(50,162),(50,178),(51,176),(51,179),(52,196),(53,146),(53,219),(54,146),(55,165),(55,199),(56,166),(56,198),(57,182),(58,167),(59,175),(59,217),(60,170),(60,171),(61,222),(62,181),(63,9),(63,148),(63,170),(64,8),(64,148),(64,171),(65,169),(66,168),(67,83),(67,214),(68,51),(68,155),(68,156),(69,37),(69,218),(70,101),(70,158),(70,214),(71,48),(71,207),(72,91),(72,201),(72,219),(73,74),(73,192),(74,55),(74,195),(75,56),(75,197),(76,57),(76,221),(77,109),(77,155),(78,46),(79,92),(79,202),(79,209),(80,52),(80,191),(81,75),(81,193),(82,76),(82,209),(83,34),(83,215),(84,121),(84,211),(85,120),(85,211),(86,126),(87,69),(87,212),(88,67),(88,194),(88,213),(89,107),(89,154),(89,158),(90,95),(90,157),(91,73),(91,152),(91,217),(92,81),(92,151),(92,216),(93,119),(93,149),(94,68),(95,138),(95,183),(96,131),(96,178),(97,71),(97,162),(98,49),(98,187),(99,49),(99,188),(100,80),(100,172),(101,41),(101,177),(101,215),(102,79),(102,154),(102,161),(103,106),(103,158),(103,180),(104,20),(104,72),(104,167),(105,96),(105,176),(105,213),(106,45),(106,163),(106,184),(107,44),(107,160),(107,177),(108,72),(108,161),(108,180),(109,134),(110,36),(110,210),(111,42),(111,159),(112,43),(112,159),(113,71),(113,168),(114,50),(114,189),(115,7),(115,77),(115,147),(116,10),(116,95),(116,210),(117,125),(117,145),(118,107),(118,127),(118,218),(119,87),(119,133),(119,204),(120,39),(120,110),(121,38),(121,115),(122,37),(122,127),(123,88),(123,105),(123,156),(124,111),(124,112),(125,86),(125,141),(126,34),(126,41),(127,44),(127,47),(127,153),(128,89),(128,118),(128,212),(129,35),(129,64),(129,185),(130,35),(130,63),(130,186),(131,45),(131,100),(131,164),(132,70),(132,103),(132,179),(132,213),(133,102),(133,137),(133,190),(133,212),(134,53),(134,54),(135,104),(135,108),(135,190),(136,26),(136,119),(136,143),(136,147),(137,79),(137,82),(137,169),(138,97),(138,113),(138,189),(139,58),(139,104),(140,25),(140,129),(140,130),(140,159),(141,83),(141,101),(141,126),(142,88),(142,132),(142,145),(142,155),(143,87),(143,128),(143,144),(144,69),(144,118),(144,122),(145,67),(145,70),(145,141),(146,62),(146,220),(147,135),(147,139),(147,204),(148,2),(148,227),(149,204),(150,52),(150,208),(151,193),(151,224),(152,192),(152,223),(153,57),(153,175),(153,206),(154,160),(154,209),(155,134),(155,179),(155,194),(156,176),(156,194),(157,183),(158,177),(158,184),(159,60),(159,185),(159,186),(160,206),(160,221),(161,201),(161,202),(162,207),(163,205),(163,220),(164,62),(164,205),(165,225),(166,225),(167,59),(167,61),(167,201),(168,207),(169,61),(169,202),(170,65),(170,227),(171,66),(171,227),(172,191),(172,193),(173,192),(173,208),(174,224),(175,223),(176,178),(176,226),(177,173),(177,203),(178,164),(179,53),(179,180),(179,226),(180,163),(180,219),(181,55),(181,187),(182,56),(182,188),(183,189),(184,172),(184,203),(185,171),(185,200),(186,170),(186,200),(187,165),(188,166),(189,162),(189,168),(190,161),(190,167),(190,169),(191,196),(191,197),(192,195),(193,197),(194,54),(194,226),(195,199),(196,198),(196,199),(197,198),(198,225),(199,225),(200,227),(201,217),(201,222),(202,216),(202,222),(203,191),(203,208),(204,58),(204,190),(205,181),(205,224),(206,182),(206,223),(207,174),(208,195),(208,196),(209,81),(209,221),(210,114),(210,183),(211,94),(212,82),(212,154),(212,218),(213,106),(213,131),(213,214),(213,226),(214,100),(214,184),(214,215),(215,80),(215,150),(215,203),(216,98),(216,224),(217,99),(217,223),(218,76),(218,153),(218,160),(219,73),(219,220),(220,74),(220,181),(221,75),(221,182),(222,98),(222,99),(223,188),(224,187),(226,146),(226,163),(226,164),(227,78)],228)
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         

click to show experimental identities (only identities of compositions of up to three maps are shown)

Description

The underlying poset of the subcrystal obtained by applying the raising operators to a semistandard tableau.

Sage code

def mapping(T):
    m = max(T.entries())
    C = crystals.Tableaux(["A", m-1], shape=T.shape())
    x = C(rows=T)
    S = x.subcrystal(direction="upper")
    return Poset(S.digraph().canonical_label().copy(immutable=True))

Weight

Created

Feb 24, 2021 at 11:54 by Martin Rubey

Updated

Feb 25, 2021 at 11:12 by Martin Rubey