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Your data matches 56 different statistics following compositions of up to 3 maps.
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Matching statistic: St001645
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(load all 9 compositions to match this statistic)
Values
([(0,1)],2)
=> ([],1)
=> ([],1)
=> 1
([(1,2)],3)
=> ([],1)
=> ([],1)
=> 1
([(2,3)],4)
=> ([],1)
=> ([],1)
=> 1
([(0,3),(1,2)],4)
=> ([],2)
=> ([(0,1)],2)
=> 2
([(3,4)],5)
=> ([],1)
=> ([],1)
=> 1
([(1,4),(2,3)],5)
=> ([],2)
=> ([(0,1)],2)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(1,2)],3)
=> ([(0,2),(1,2)],3)
=> 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
=> ([(0,4),(1,3),(2,3),(2,4)],5)
=> 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,3),(1,2),(2,3)],4)
=> ([(0,3),(1,2),(2,3)],4)
=> 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> 5
([(4,5)],6)
=> ([],1)
=> ([],1)
=> 1
([(2,5),(3,4)],6)
=> ([],2)
=> ([(0,1)],2)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(1,2)],3)
=> ([(0,2),(1,2)],3)
=> 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,3),(1,2)],4)
=> ([(0,2),(0,3),(1,2),(1,3)],4)
=> 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
=> ([(0,4),(1,3),(2,3),(2,4)],5)
=> 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> 8
([(0,5),(1,4),(2,3)],6)
=> ([],3)
=> ([(0,1),(0,2),(1,2)],3)
=> 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,3),(1,2),(2,3)],4)
=> ([(0,3),(1,2),(2,3)],4)
=> 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
=> 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
=> 6
([(5,6)],7)
=> ([],1)
=> ([],1)
=> 1
([(3,6),(4,5)],7)
=> ([],2)
=> ([(0,1)],2)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(1,2)],3)
=> ([(0,2),(1,2)],3)
=> 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,3),(1,2)],4)
=> ([(0,2),(0,3),(1,2),(1,3)],4)
=> 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
=> ([(0,4),(1,3),(2,3),(2,4)],5)
=> 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> 8
([(1,6),(2,5),(3,4)],7)
=> ([],3)
=> ([(0,1),(0,2),(1,2)],3)
=> 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,3),(1,2),(2,3)],4)
=> ([(0,3),(1,2),(2,3)],4)
=> 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
=> 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
=> 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
=> ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
=> 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
=> 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
=> 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
=> 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
=> ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
=> 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7)
=> ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
=> ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
=> 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
=> 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
=> 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)
=> ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
=> 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
=> ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
=> 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
=> 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
=> ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
=> 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
=> 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
=> 7
Description
The pebbling number of a connected graph.
Matching statistic: St001621
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(load all 9 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The number of atoms of a lattice.
An element of a lattice is an '''atom''' if it covers the least element.
Matching statistic: St001624
(load all 9 compositions to match this statistic)
(load all 9 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The breadth of a lattice.
The '''breadth''' of a lattice is the least integer $b$ such that any join $x_1\vee x_2\vee\cdots\vee x_n$, with $n > b$, can be expressed as a join over a proper subset of $\{x_1,x_2,\ldots,x_n\}$.
Matching statistic: St000080
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The rank of the poset.
Matching statistic: St000100
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The number of linear extensions of a poset.
Matching statistic: St000298
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The order dimension or Dushnik-Miller dimension of a poset.
This is the minimal number of linear orderings whose intersection is the given poset.
Matching statistic: St000307
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The number of rowmotion orbits of a poset.
Rowmotion is an operation on order ideals in a poset $P$. It sends an order ideal $I$ to the order ideal generated by the minimal antichain of $P \setminus I$.
Matching statistic: St000633
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The size of the automorphism group of a poset.
A poset automorphism is a permutation of the elements of the poset preserving the order relation.
Matching statistic: St000640
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The rank of the largest boolean interval in a poset.
Matching statistic: St000845
(load all 3 compositions to match this statistic)
(load all 3 compositions to match this statistic)
Values
([(0,1)],2)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,2)],3)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,3)],4)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(0,3),(1,2)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(3,4)],5)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(1,4),(2,3)],5)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(0,1),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,4),(1,3),(2,3),(2,4)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(4,5)],6)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(2,5),(3,4)],6)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(1,2),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(0,5),(1,5),(2,4),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(0,5),(1,4),(2,3)],6)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(1,5),(2,4),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(5,6)],7)
=> ([(0,1)],2)
=> ([(0,1)],2)
=> 1
([(3,6),(4,5)],7)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> ([(0,1),(0,2),(1,3),(2,3)],4)
=> 2
([(2,3),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 4
([(1,6),(2,6),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)
=> ? = 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)
=> ? = 8
([(1,6),(2,5),(3,4)],7)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
=> ? = 3
([(2,6),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
=> ? = 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)
=> ? = 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)
=> ? = 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)
=> ? = 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)
=> ? = 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(1,19),(1,20),(1,21),(1,22),(1,28),(2,14),(2,15),(2,16),(2,17),(2,22),(2,27),(3,11),(3,12),(3,13),(3,17),(3,21),(3,26),(4,9),(4,10),(4,13),(4,16),(4,20),(4,25),(5,8),(5,10),(5,12),(5,15),(5,19),(5,24),(6,8),(6,9),(6,11),(6,14),(6,18),(6,23),(7,23),(7,24),(7,25),(7,26),(7,27),(7,28),(8,31),(8,44),(8,47),(8,50),(8,56),(9,29),(9,44),(9,45),(9,48),(9,54),(10,30),(10,44),(10,46),(10,49),(10,55),(11,32),(11,45),(11,47),(11,51),(11,57),(12,33),(12,46),(12,47),(12,52),(12,58),(13,34),(13,45),(13,46),(13,53),(13,59),(14,35),(14,48),(14,50),(14,51),(14,60),(15,36),(15,49),(15,50),(15,52),(15,61),(16,37),(16,48),(16,49),(16,53),(16,62),(17,38),(17,51),(17,52),(17,53),(17,63),(18,39),(18,54),(18,56),(18,57),(18,60),(19,40),(19,55),(19,56),(19,58),(19,61),(20,41),(20,54),(20,55),(20,59),(20,62),(21,42),(21,57),(21,58),(21,59),(21,63),(22,43),(22,60),(22,61),(22,62),(22,63),(23,29),(23,31),(23,32),(23,35),(23,39),(24,30),(24,31),(24,33),(24,36),(24,40),(25,29),(25,30),(25,34),(25,37),(25,41),(26,32),(26,33),(26,34),(26,38),(26,42),(27,35),(27,36),(27,37),(27,38),(27,43),(28,39),(28,40),(28,41),(28,42),(28,43),(29,79),(29,80),(29,83),(29,89),(30,79),(30,81),(30,84),(30,90),(31,79),(31,82),(31,85),(31,91),(32,80),(32,82),(32,86),(32,92),(33,81),(33,82),(33,87),(33,93),(34,80),(34,81),(34,88),(34,94),(35,83),(35,85),(35,86),(35,95),(36,84),(36,85),(36,87),(36,96),(37,83),(37,84),(37,88),(37,97),(38,86),(38,87),(38,88),(38,98),(39,89),(39,91),(39,92),(39,95),(40,90),(40,91),(40,93),(40,96),(41,89),(41,90),(41,94),(41,97),(42,92),(42,93),(42,94),(42,98),(43,95),(43,96),(43,97),(43,98),(44,67),(44,68),(44,78),(44,79),(45,64),(45,68),(45,75),(45,80),(46,65),(46,68),(46,76),(46,81),(47,66),(47,68),(47,77),(47,82),(48,64),(48,67),(48,69),(48,83),(49,65),(49,67),(49,70),(49,84),(50,66),(50,67),(50,71),(50,85),(51,64),(51,66),(51,72),(51,86),(52,65),(52,66),(52,73),(52,87),(53,64),(53,65),(53,74),(53,88),(54,69),(54,75),(54,78),(54,89),(55,70),(55,76),(55,78),(55,90),(56,71),(56,77),(56,78),(56,91),(57,72),(57,75),(57,77),(57,92),(58,73),(58,76),(58,77),(58,93),(59,74),(59,75),(59,76),(59,94),(60,69),(60,71),(60,72),(60,95),(61,70),(61,71),(61,73),(61,96),(62,69),(62,70),(62,74),(62,97),(63,72),(63,73),(63,74),(63,98),(64,99),(64,114),(65,100),(65,114),(66,101),(66,114),(67,102),(67,114),(68,103),(68,114),(69,104),(69,114),(70,105),(70,114),(71,106),(71,114),(72,107),(72,114),(73,108),(73,114),(74,109),(74,114),(75,110),(75,114),(76,111),(76,114),(77,112),(77,114),(78,113),(78,114),(79,102),(79,103),(79,113),(80,99),(80,103),(80,110),(81,100),(81,103),(81,111),(82,101),(82,103),(82,112),(83,99),(83,102),(83,104),(84,100),(84,102),(84,105),(85,101),(85,102),(85,106),(86,99),(86,101),(86,107),(87,100),(87,101),(87,108),(88,99),(88,100),(88,109),(89,104),(89,110),(89,113),(90,105),(90,111),(90,113),(91,106),(91,112),(91,113),(92,107),(92,110),(92,112),(93,108),(93,111),(93,112),(94,109),(94,110),(94,111),(95,104),(95,106),(95,107),(96,105),(96,106),(96,108),(97,104),(97,105),(97,109),(98,107),(98,108),(98,109),(99,115),(100,115),(101,115),(102,115),(103,115),(104,115),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)
=> ?
=> ? = 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(1,13),(1,17),(1,21),(1,25),(2,9),(2,10),(2,13),(2,16),(2,20),(2,24),(3,8),(3,10),(3,12),(3,15),(3,19),(3,23),(4,8),(4,9),(4,11),(4,14),(4,18),(4,22),(5,22),(5,23),(5,24),(5,25),(5,27),(5,28),(6,18),(6,19),(6,20),(6,21),(6,26),(6,28),(7,14),(7,15),(7,16),(7,17),(7,26),(7,27),(8,31),(8,37),(8,43),(8,88),(9,29),(9,35),(9,41),(9,88),(10,30),(10,36),(10,42),(10,88),(11,32),(11,38),(11,44),(11,88),(12,33),(12,39),(12,45),(12,88),(13,34),(13,40),(13,46),(13,88),(14,29),(14,31),(14,32),(14,47),(14,51),(15,30),(15,31),(15,33),(15,48),(15,52),(16,29),(16,30),(16,34),(16,49),(16,53),(17,32),(17,33),(17,34),(17,50),(17,54),(18,35),(18,37),(18,38),(18,47),(18,55),(19,36),(19,37),(19,39),(19,48),(19,56),(20,35),(20,36),(20,40),(20,49),(20,57),(21,38),(21,39),(21,40),(21,50),(21,58),(22,41),(22,43),(22,44),(22,51),(22,55),(23,42),(23,43),(23,45),(23,52),(23,56),(24,41),(24,42),(24,46),(24,53),(24,57),(25,44),(25,45),(25,46),(25,54),(25,58),(26,47),(26,48),(26,49),(26,50),(26,59),(27,51),(27,52),(27,53),(27,54),(27,59),(28,55),(28,56),(28,57),(28,58),(28,59),(29,60),(29,66),(29,89),(30,61),(30,67),(30,89),(31,62),(31,68),(31,89),(32,63),(32,69),(32,89),(33,64),(33,70),(33,89),(34,65),(34,71),(34,89),(35,60),(35,72),(35,90),(36,61),(36,73),(36,90),(37,62),(37,74),(37,90),(38,63),(38,75),(38,90),(39,64),(39,76),(39,90),(40,65),(40,77),(40,90),(41,66),(41,72),(41,91),(42,67),(42,73),(42,91),(43,68),(43,74),(43,91),(44,69),(44,75),(44,91),(45,70),(45,76),(45,91),(46,71),(46,77),(46,91),(47,60),(47,62),(47,63),(47,78),(48,61),(48,62),(48,64),(48,79),(49,60),(49,61),(49,65),(49,80),(50,63),(50,64),(50,65),(50,81),(51,66),(51,68),(51,69),(51,78),(52,67),(52,68),(52,70),(52,79),(53,66),(53,67),(53,71),(53,80),(54,69),(54,70),(54,71),(54,81),(55,72),(55,74),(55,75),(55,78),(56,73),(56,74),(56,76),(56,79),(57,72),(57,73),(57,77),(57,80),(58,75),(58,76),(58,77),(58,81),(59,78),(59,79),(59,80),(59,81),(60,82),(60,94),(61,83),(61,94),(62,84),(62,94),(63,85),(63,94),(64,86),(64,94),(65,87),(65,94),(66,82),(66,92),(67,83),(67,92),(68,84),(68,92),(69,85),(69,92),(70,86),(70,92),(71,87),(71,92),(72,82),(72,93),(73,83),(73,93),(74,84),(74,93),(75,85),(75,93),(76,86),(76,93),(77,87),(77,93),(78,82),(78,84),(78,85),(79,83),(79,84),(79,86),(80,82),(80,83),(80,87),(81,85),(81,86),(81,87),(82,95),(83,95),(84,95),(85,95),(86,95),(87,95),(88,89),(88,90),(88,91),(89,92),(89,94),(90,93),(90,94),(91,92),(91,93),(92,95),(93,95),(94,95)],96)
=> ?
=> ? = 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)
=> ? = 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)
=> ? = 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)
=> ? = 6
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(1,14),(1,15),(1,16),(1,17),(1,18),(2,8),(2,9),(2,10),(2,11),(2,12),(2,18),(3,12),(3,17),(3,25),(3,26),(3,27),(3,28),(4,11),(4,16),(4,22),(4,23),(4,24),(4,28),(5,10),(5,15),(5,20),(5,21),(5,24),(5,27),(6,9),(6,14),(6,19),(6,21),(6,23),(6,26),(7,8),(7,13),(7,19),(7,20),(7,22),(7,25),(8,39),(8,40),(8,42),(8,45),(8,59),(9,39),(9,41),(9,43),(9,46),(9,60),(10,40),(10,41),(10,44),(10,47),(10,61),(11,42),(11,43),(11,44),(11,48),(11,62),(12,45),(12,46),(12,47),(12,48),(12,63),(13,49),(13,50),(13,52),(13,55),(13,59),(14,49),(14,51),(14,53),(14,56),(14,60),(15,50),(15,51),(15,54),(15,57),(15,61),(16,52),(16,53),(16,54),(16,58),(16,62),(17,55),(17,56),(17,57),(17,58),(17,63),(18,59),(18,60),(18,61),(18,62),(18,63),(19,29),(19,32),(19,35),(19,39),(19,49),(20,29),(20,30),(20,33),(20,40),(20,50),(21,29),(21,31),(21,34),(21,41),(21,51),(22,30),(22,32),(22,36),(22,42),(22,52),(23,31),(23,32),(23,37),(23,43),(23,53),(24,30),(24,31),(24,38),(24,44),(24,54),(25,33),(25,35),(25,36),(25,45),(25,55),(26,34),(26,35),(26,37),(26,46),(26,56),(27,33),(27,34),(27,38),(27,47),(27,57),(28,36),(28,37),(28,38),(28,48),(28,58),(29,64),(29,74),(29,104),(30,65),(30,75),(30,104),(31,66),(31,76),(31,104),(32,67),(32,77),(32,104),(33,68),(33,78),(33,104),(34,69),(34,79),(34,104),(35,70),(35,80),(35,104),(36,71),(36,81),(36,104),(37,72),(37,82),(37,104),(38,73),(38,83),(38,104),(39,64),(39,67),(39,70),(39,86),(40,64),(40,65),(40,68),(40,84),(41,64),(41,66),(41,69),(41,85),(42,65),(42,67),(42,71),(42,87),(43,66),(43,67),(43,72),(43,88),(44,65),(44,66),(44,73),(44,89),(45,68),(45,70),(45,71),(45,90),(46,69),(46,70),(46,72),(46,91),(47,68),(47,69),(47,73),(47,92),(48,71),(48,72),(48,73),(48,93),(49,74),(49,77),(49,80),(49,86),(50,74),(50,75),(50,78),(50,84),(51,74),(51,76),(51,79),(51,85),(52,75),(52,77),(52,81),(52,87),(53,76),(53,77),(53,82),(53,88),(54,75),(54,76),(54,83),(54,89),(55,78),(55,80),(55,81),(55,90),(56,79),(56,80),(56,82),(56,91),(57,78),(57,79),(57,83),(57,92),(58,81),(58,82),(58,83),(58,93),(59,84),(59,86),(59,87),(59,90),(60,85),(60,86),(60,88),(60,91),(61,84),(61,85),(61,89),(61,92),(62,87),(62,88),(62,89),(62,93),(63,90),(63,91),(63,92),(63,93),(64,103),(64,105),(65,100),(65,105),(66,101),(66,105),(67,102),(67,105),(68,94),(68,105),(69,95),(69,105),(70,96),(70,105),(71,97),(71,105),(72,98),(72,105),(73,99),(73,105),(74,103),(74,106),(75,100),(75,106),(76,101),(76,106),(77,102),(77,106),(78,94),(78,106),(79,95),(79,106),(80,96),(80,106),(81,97),(81,106),(82,98),(82,106),(83,99),(83,106),(84,94),(84,100),(84,103),(85,95),(85,101),(85,103),(86,96),(86,102),(86,103),(87,97),(87,100),(87,102),(88,98),(88,101),(88,102),(89,99),(89,100),(89,101),(90,94),(90,96),(90,97),(91,95),(91,96),(91,98),(92,94),(92,95),(92,99),(93,97),(93,98),(93,99),(94,107),(95,107),(96,107),(97,107),(98,107),(99,107),(100,107),(101,107),(102,107),(103,107),(104,105),(104,106),(105,107),(106,107)],108)
=> ?
=> ? = 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)
=> ?
=> ? = 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)
=> ? = 6
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)
=> ? = 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,18),(2,19),(2,20),(2,21),(2,22),(2,28),(3,14),(3,15),(3,16),(3,17),(3,22),(3,27),(4,11),(4,12),(4,13),(4,17),(4,21),(4,26),(5,9),(5,10),(5,13),(5,16),(5,20),(5,25),(6,8),(6,10),(6,12),(6,15),(6,19),(6,24),(7,8),(7,9),(7,11),(7,14),(7,18),(7,23),(8,29),(8,32),(8,35),(8,41),(8,51),(9,29),(9,30),(9,33),(9,39),(9,49),(10,29),(10,31),(10,34),(10,40),(10,50),(11,30),(11,32),(11,36),(11,42),(11,52),(12,31),(12,32),(12,37),(12,43),(12,53),(13,30),(13,31),(13,38),(13,44),(13,54),(14,33),(14,35),(14,36),(14,45),(14,55),(15,34),(15,35),(15,37),(15,46),(15,56),(16,33),(16,34),(16,38),(16,47),(16,57),(17,36),(17,37),(17,38),(17,48),(17,58),(18,39),(18,41),(18,42),(18,45),(18,59),(19,40),(19,41),(19,43),(19,46),(19,60),(20,39),(20,40),(20,44),(20,47),(20,61),(21,42),(21,43),(21,44),(21,48),(21,62),(22,45),(22,46),(22,47),(22,48),(22,63),(23,49),(23,51),(23,52),(23,55),(23,59),(24,50),(24,51),(24,53),(24,56),(24,60),(25,49),(25,50),(25,54),(25,57),(25,61),(26,52),(26,53),(26,54),(26,58),(26,62),(27,55),(27,56),(27,57),(27,58),(27,63),(28,59),(28,60),(28,61),(28,62),(28,63),(29,67),(29,68),(29,78),(29,88),(30,64),(30,68),(30,75),(30,85),(31,65),(31,68),(31,76),(31,86),(32,66),(32,68),(32,77),(32,87),(33,64),(33,67),(33,69),(33,79),(34,65),(34,67),(34,70),(34,80),(35,66),(35,67),(35,71),(35,81),(36,64),(36,66),(36,72),(36,82),(37,65),(37,66),(37,73),(37,83),(38,64),(38,65),(38,74),(38,84),(39,69),(39,75),(39,78),(39,89),(40,70),(40,76),(40,78),(40,90),(41,71),(41,77),(41,78),(41,91),(42,72),(42,75),(42,77),(42,92),(43,73),(43,76),(43,77),(43,93),(44,74),(44,75),(44,76),(44,94),(45,69),(45,71),(45,72),(45,95),(46,70),(46,71),(46,73),(46,96),(47,69),(47,70),(47,74),(47,97),(48,72),(48,73),(48,74),(48,98),(49,79),(49,85),(49,88),(49,89),(50,80),(50,86),(50,88),(50,90),(51,81),(51,87),(51,88),(51,91),(52,82),(52,85),(52,87),(52,92),(53,83),(53,86),(53,87),(53,93),(54,84),(54,85),(54,86),(54,94),(55,79),(55,81),(55,82),(55,95),(56,80),(56,81),(56,83),(56,96),(57,79),(57,80),(57,84),(57,97),(58,82),(58,83),(58,84),(58,98),(59,89),(59,91),(59,92),(59,95),(60,90),(60,91),(60,93),(60,96),(61,89),(61,90),(61,94),(61,97),(62,92),(62,93),(62,94),(62,98),(63,95),(63,96),(63,97),(63,98),(64,109),(64,114),(64,119),(65,110),(65,115),(65,119),(66,111),(66,116),(66,119),(67,112),(67,117),(67,119),(68,113),(68,118),(68,119),(69,99),(69,114),(69,117),(70,100),(70,115),(70,117),(71,101),(71,116),(71,117),(72,102),(72,114),(72,116),(73,103),(73,115),(73,116),(74,104),(74,114),(74,115),(75,105),(75,114),(75,118),(76,106),(76,115),(76,118),(77,107),(77,116),(77,118),(78,108),(78,117),(78,118),(79,99),(79,109),(79,112),(80,100),(80,110),(80,112),(81,101),(81,111),(81,112),(82,102),(82,109),(82,111),(83,103),(83,110),(83,111),(84,104),(84,109),(84,110),(85,105),(85,109),(85,113),(86,106),(86,110),(86,113),(87,107),(87,111),(87,113),(88,108),(88,112),(88,113),(89,99),(89,105),(89,108),(90,100),(90,106),(90,108),(91,101),(91,107),(91,108),(92,102),(92,105),(92,107),(93,103),(93,106),(93,107),(94,104),(94,105),(94,106),(95,99),(95,101),(95,102),(96,100),(96,101),(96,103),(97,99),(97,100),(97,104),(98,102),(98,103),(98,104),(99,120),(100,120),(101,120),(102,120),(103,120),(104,120),(105,120),(106,120),(107,120),(108,120),(109,120),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)
=> ?
=> ? = 7
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)
=> ? = 7
Description
The maximal number of elements covered by an element in a poset.
The following 46 statistics, ordered by result quality, also match your data. Click on any of them to see the details.
St000846The maximal number of elements covering an element of a poset. St000910The number of maximal chains of minimal length in a poset. St001105The number of greedy linear extensions of a poset. St001106The number of supergreedy linear extensions of a poset. St001268The size of the largest ordinal summand in the poset. St001399The distinguishing number of a poset. St001510The number of self-evacuating linear extensions of a finite poset. St001632The number of indecomposable injective modules $I$ with $dim Ext^1(I,A)=1$ for the incidence algebra A of a poset. St001637The number of (upper) dissectors of a poset. St001668The number of points of the poset minus the width of the poset. St001779The order of promotion on the set of linear extensions of a poset. St000528The height of a poset. St000632The jump number of the poset. St000680The Grundy value for Hackendot on posets. St000717The number of ordinal summands of a poset. St000848The balance constant multiplied with the number of linear extensions of a poset. St000849The number of 1/3-balanced pairs in a poset. St000850The number of 1/2-balanced pairs in a poset. St000906The length of the shortest maximal chain in a poset. St000912The number of maximal antichains in a poset. St001343The dimension of the reduced incidence algebra of a poset. St001397Number of pairs of incomparable elements in a finite poset. St001398Number of subsets of size 3 of elements in a poset that form a "v". St001633The number of simple modules with projective dimension two in the incidence algebra of the poset. St001636The number of indecomposable injective modules with projective dimension at most one in the incidence algebra of the poset. St001718The number of non-empty open intervals in a poset. St000643The size of the largest orbit of antichains under Panyushev complementation. St001782The order of rowmotion on the set of order ideals of a poset. St001738The minimal order of a graph which is not an induced subgraph of the given graph. St000260The radius of a connected graph. St000273The domination number of a graph. St000916The packing number of a graph. St000917The open packing number of a graph. St001672The restrained domination number of a graph. St001776The degree of the minimal polynomial of the largest Laplacian eigenvalue of a graph. St001829The common independence number of a graph. St000447The number of pairs of vertices of a graph with distance 3. St000918The 2-limited packing number of a graph. St000454The largest eigenvalue of a graph if it is integral. St001322The size of a minimal independent dominating set in a graph. St001339The irredundance number of a graph. St000422The energy of a graph, if it is integral. St001353The number of prime nodes in the modular decomposition of a graph. St001577The minimal number of edges to add or remove to make a graph a cograph. St001330The hat guessing number of a graph. St000455The second largest eigenvalue of a graph if it is integral.
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