Identifier
Mp00093: Dyck paths to binary wordBinary words
Mp00262: Binary words poset of factors Posets
Images
[1,0] => 10 => ([(0,1),(0,2),(1,3),(2,3)],4)
[1,0,1,0] => 1010 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0] => 1100 => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[1,0,1,0,1,0] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
[1,0,1,1,0,0] => 101100 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[1,1,0,0,1,0] => 110010 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
[1,1,0,1,0,0] => 110100 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
[1,1,1,0,0,0] => 111000 => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[1,0,1,0,1,0,1,0] => 10101010 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)
[1,0,1,0,1,1,0,0] => 10101100 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
[1,0,1,1,0,0,1,0] => 10110010 => ([(0,3),(0,4),(1,23),(1,25),(2,22),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,19),(16,20),(17,10),(17,19),(18,11),(18,20),(19,12),(19,21),(20,13),(20,21),(21,14),(21,15),(22,6),(22,17),(23,7),(23,18),(24,16),(24,17),(25,16),(25,18),(26,8),(26,9),(26,24),(26,25),(27,8),(27,9),(27,22),(27,23)],28)
[1,0,1,1,0,1,0,0] => 10110100 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
[1,0,1,1,1,0,0,0] => 10111000 => ([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28)
[1,1,0,0,1,0,1,0] => 11001010 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
[1,1,0,0,1,1,0,0] => 11001100 => ([(0,3),(0,4),(1,22),(1,24),(2,21),(2,23),(3,2),(3,16),(3,17),(4,1),(4,16),(4,17),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,22),(17,23),(17,24),(18,6),(18,12),(19,7),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25)
[1,1,0,1,0,0,1,0] => 11010010 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
[1,1,0,1,0,1,0,0] => 11010100 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)
[1,1,0,1,1,0,0,0] => 11011000 => ([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)
[1,1,1,0,0,0,1,0] => 11100010 => ([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28)
[1,1,1,0,0,1,0,0] => 11100100 => ([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)
[1,1,1,0,1,0,0,0] => 11101000 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)
[1,1,1,1,0,0,0,0] => 11110000 => ([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25)
[1,0,1,0,1,0,1,0,1,0] => 1010101010 => ([(0,1),(0,2),(1,18),(1,19),(2,18),(2,19),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,16),(12,17),(13,16),(13,17),(14,10),(14,11),(15,10),(15,11),(16,4),(16,5),(17,4),(17,5),(18,14),(18,15),(19,14),(19,15)],20)
[1,0,1,0,1,0,1,1,0,0] => 1010101100 => ([(0,3),(0,4),(1,16),(2,20),(2,21),(3,2),(3,35),(3,36),(4,1),(4,35),(4,36),(6,13),(7,11),(8,14),(9,15),(10,12),(11,8),(12,9),(13,10),(14,5),(15,5),(16,6),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,25),(20,28),(21,6),(21,28),(22,27),(22,34),(23,17),(23,18),(24,7),(24,31),(25,26),(25,30),(26,23),(26,29),(27,24),(27,33),(28,13),(28,30),(29,12),(29,18),(30,10),(30,29),(31,11),(31,17),(32,25),(32,27),(32,34),(33,7),(33,23),(33,31),(34,24),(34,26),(34,33),(35,20),(35,22),(35,32),(36,16),(36,21),(36,22),(36,32)],37)
[1,0,1,0,1,1,0,0,1,0] => 1010110010 => ([(0,3),(0,4),(1,34),(1,35),(2,33),(2,36),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,30),(21,9),(21,23),(22,8),(22,23),(23,16),(23,17),(24,19),(24,20),(25,19),(25,27),(26,20),(26,28),(27,12),(27,29),(28,11),(28,30),(29,14),(29,21),(30,13),(30,22),(31,15),(31,27),(32,10),(32,28),(33,25),(33,31),(34,24),(34,25),(35,24),(35,26),(36,6),(36,31),(37,7),(37,26),(37,32),(38,6),(38,7),(38,32),(39,33),(39,34),(39,37),(39,38),(40,35),(40,36),(40,37),(40,38)],41)
[1,0,1,0,1,1,0,1,0,0] => 1010110100 => ([(0,3),(0,4),(1,17),(2,25),(2,26),(3,2),(3,36),(3,38),(4,1),(4,36),(4,38),(6,14),(7,10),(8,15),(9,16),(10,11),(11,12),(12,9),(13,8),(14,13),(15,5),(16,5),(17,7),(18,22),(18,23),(19,20),(19,21),(20,18),(20,33),(21,18),(21,32),(22,9),(22,24),(23,8),(23,24),(24,15),(24,16),(25,19),(25,28),(26,19),(26,27),(27,21),(27,30),(28,20),(28,31),(29,6),(29,30),(30,14),(30,32),(31,11),(31,33),(32,13),(32,23),(33,12),(33,22),(34,7),(34,29),(34,35),(35,6),(35,10),(35,31),(36,26),(36,34),(36,37),(37,27),(37,28),(37,29),(37,35),(38,17),(38,25),(38,34),(38,37)],39)
[1,0,1,0,1,1,1,0,0,0] => 1010111000 => ([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,27),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,11),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,22),(27,21),(27,30),(28,22),(28,31),(29,9),(29,35),(30,14),(30,32),(31,13),(31,33),(32,16),(32,23),(33,15),(33,24),(34,17),(34,30),(35,12),(35,31),(36,8),(36,34),(37,27),(37,34),(38,26),(38,28),(39,29),(39,38),(39,40),(40,9),(40,28),(40,35),(41,29),(41,36),(41,37),(41,40)],42)
[1,0,1,1,0,0,1,0,1,0] => 1011001010 => ([(0,3),(0,4),(1,34),(1,35),(2,33),(2,36),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,30),(21,9),(21,23),(22,8),(22,23),(23,16),(23,17),(24,19),(24,20),(25,19),(25,27),(26,20),(26,28),(27,12),(27,29),(28,11),(28,30),(29,14),(29,21),(30,13),(30,22),(31,15),(31,27),(32,10),(32,28),(33,25),(33,31),(34,24),(34,25),(35,24),(35,26),(36,6),(36,31),(37,7),(37,26),(37,32),(38,6),(38,7),(38,32),(39,33),(39,34),(39,37),(39,38),(40,35),(40,36),(40,37),(40,38)],41)
[1,0,1,1,0,0,1,1,0,0] => 1011001100 => ([(0,3),(0,4),(1,29),(1,36),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,14),(8,15),(9,16),(10,11),(11,12),(12,8),(13,9),(14,10),(15,5),(16,5),(17,20),(17,21),(18,17),(18,28),(19,17),(19,27),(20,9),(20,23),(21,8),(21,23),(22,6),(22,27),(23,15),(23,16),(24,19),(24,22),(25,18),(25,19),(26,18),(26,34),(27,13),(27,20),(28,12),(28,21),(29,26),(29,35),(30,25),(30,26),(31,24),(31,25),(32,7),(32,31),(32,36),(33,7),(33,29),(33,30),(34,6),(34,11),(34,28),(35,10),(35,22),(35,34),(36,14),(36,24),(36,35)],37)
[1,0,1,1,0,1,0,0,1,0] => 1011010010 => ([(0,3),(0,4),(1,34),(1,36),(2,33),(2,35),(3,2),(3,39),(3,40),(4,1),(4,39),(4,40),(6,14),(7,15),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,30),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,27),(25,20),(25,28),(26,19),(26,20),(27,10),(27,29),(28,11),(28,30),(29,12),(29,21),(30,13),(30,22),(31,14),(31,27),(32,15),(32,28),(33,24),(33,31),(34,25),(34,32),(35,6),(35,31),(36,7),(36,32),(37,6),(37,24),(37,26),(38,7),(38,25),(38,26),(39,33),(39,34),(39,37),(39,38),(40,35),(40,36),(40,37),(40,38)],41)
[1,0,1,1,0,1,0,1,0,0] => 1011010100 => ([(0,3),(0,4),(1,18),(2,25),(2,26),(3,2),(3,35),(3,38),(4,1),(4,35),(4,38),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,7),(19,22),(19,23),(20,19),(20,32),(21,19),(21,31),(22,8),(22,24),(23,9),(23,24),(24,16),(24,17),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,21),(28,30),(29,15),(29,33),(30,11),(30,31),(31,13),(31,22),(32,14),(32,23),(33,12),(33,32),(34,7),(34,28),(34,37),(35,26),(35,34),(35,36),(36,6),(36,27),(36,28),(36,37),(37,10),(37,20),(37,21),(37,30),(38,18),(38,25),(38,34),(38,36)],39)
[1,0,1,1,0,1,1,0,0,0] => 1011011000 => ([(0,4),(0,5),(1,16),(2,1),(2,22),(3,24),(3,33),(4,2),(4,32),(4,36),(5,3),(5,32),(5,36),(7,13),(8,11),(9,14),(10,15),(11,9),(12,10),(13,12),(14,6),(15,6),(16,7),(17,25),(17,29),(18,9),(18,20),(19,10),(19,20),(20,14),(20,15),(21,23),(21,26),(22,16),(22,28),(23,17),(23,34),(24,23),(24,35),(25,18),(25,19),(26,17),(26,27),(27,8),(27,29),(28,7),(28,30),(29,11),(29,18),(30,13),(30,31),(31,12),(31,19),(32,21),(32,24),(33,26),(33,28),(33,35),(34,8),(34,25),(34,31),(35,27),(35,30),(35,34),(36,21),(36,22),(36,33)],37)
[1,0,1,1,1,0,0,0,1,0] => 1011100010 => ([(0,5),(0,6),(1,4),(1,38),(1,40),(2,3),(2,37),(2,39),(3,29),(3,35),(4,30),(4,36),(5,2),(5,41),(5,42),(6,1),(6,41),(6,42),(8,18),(9,19),(10,20),(11,21),(12,14),(13,15),(14,16),(15,17),(16,10),(17,11),(18,12),(19,13),(20,7),(21,7),(22,25),(22,26),(23,22),(23,33),(24,22),(24,34),(25,10),(25,27),(26,11),(26,27),(27,20),(27,21),(28,23),(28,24),(29,23),(29,31),(30,24),(30,32),(31,14),(31,33),(32,15),(32,34),(33,16),(33,25),(34,17),(34,26),(35,12),(35,31),(36,13),(36,32),(37,28),(37,29),(38,28),(38,30),(39,18),(39,35),(40,19),(40,36),(41,8),(41,9),(41,39),(41,40),(42,8),(42,9),(42,37),(42,38)],43)
[1,0,1,1,1,0,0,1,0,0] => 1011100100 => ([(0,4),(0,5),(1,3),(1,36),(1,38),(2,37),(2,39),(3,26),(3,35),(4,1),(4,40),(4,41),(5,2),(5,40),(5,41),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,23),(20,24),(21,20),(21,33),(22,20),(22,32),(23,9),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,30),(27,8),(27,31),(28,22),(28,34),(29,21),(29,22),(30,13),(30,33),(31,14),(31,34),(32,15),(32,23),(33,16),(33,24),(34,12),(34,32),(35,11),(35,30),(36,26),(36,29),(37,28),(37,31),(38,17),(38,35),(39,8),(39,28),(39,29),(40,7),(40,27),(40,37),(40,38),(41,7),(41,27),(41,36),(41,39)],42)
[1,0,1,1,1,0,1,0,0,0] => 1011101000 => ([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,35),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,10),(23,25),(24,11),(24,25),(25,18),(25,19),(26,21),(26,30),(27,22),(27,31),(28,21),(28,22),(29,27),(29,34),(30,13),(30,32),(31,14),(31,33),(32,15),(32,23),(33,16),(33,24),(34,17),(34,31),(35,12),(35,30),(36,8),(36,34),(37,26),(37,28),(38,9),(38,35),(39,29),(39,38),(39,40),(40,9),(40,27),(40,28),(41,29),(41,36),(41,37),(41,40)],42)
[1,0,1,1,1,1,0,0,0,0] => 1011110000 => ([(0,7),(0,8),(1,3),(1,30),(2,21),(3,2),(3,35),(4,6),(4,31),(4,34),(5,37),(5,38),(6,5),(6,36),(6,39),(7,1),(7,29),(7,40),(8,4),(8,29),(8,40),(10,18),(11,15),(12,19),(13,20),(14,16),(15,14),(16,17),(17,12),(18,13),(19,9),(20,9),(21,10),(22,26),(22,28),(23,12),(23,25),(24,13),(24,25),(25,19),(25,20),(26,10),(26,32),(27,23),(27,24),(28,27),(28,32),(29,11),(29,34),(30,22),(30,35),(31,22),(31,36),(32,18),(32,24),(33,17),(33,23),(34,15),(34,39),(35,21),(35,26),(36,28),(36,37),(37,27),(37,33),(38,16),(38,33),(39,14),(39,38),(40,11),(40,30),(40,31)],41)
[1,1,0,0,1,0,1,0,1,0] => 1100101010 => ([(0,3),(0,4),(1,16),(2,20),(2,21),(3,2),(3,35),(3,36),(4,1),(4,35),(4,36),(6,13),(7,11),(8,14),(9,15),(10,12),(11,8),(12,9),(13,10),(14,5),(15,5),(16,6),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,25),(20,28),(21,6),(21,28),(22,27),(22,34),(23,17),(23,18),(24,7),(24,31),(25,26),(25,30),(26,23),(26,29),(27,24),(27,33),(28,13),(28,30),(29,12),(29,18),(30,10),(30,29),(31,11),(31,17),(32,25),(32,27),(32,34),(33,7),(33,23),(33,31),(34,24),(34,26),(34,33),(35,20),(35,22),(35,32),(36,16),(36,21),(36,22),(36,32)],37)
[1,1,0,0,1,0,1,1,0,0] => 1100101100 => ([(0,3),(0,4),(1,35),(1,37),(2,34),(2,36),(3,2),(3,38),(3,39),(4,1),(4,38),(4,39),(6,12),(7,13),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,20),(16,21),(17,16),(17,32),(18,16),(18,33),(19,17),(19,18),(20,8),(20,22),(21,9),(21,22),(22,14),(22,15),(23,17),(23,30),(24,18),(24,31),(25,6),(25,30),(26,7),(26,31),(27,6),(27,7),(28,19),(28,23),(29,19),(29,24),(30,12),(30,32),(31,13),(31,33),(32,10),(32,20),(33,11),(33,21),(34,25),(34,27),(35,26),(35,27),(36,23),(36,25),(37,24),(37,26),(38,28),(38,29),(38,34),(38,35),(39,28),(39,29),(39,36),(39,37)],40)
[1,1,0,0,1,1,0,0,1,0] => 1100110010 => ([(0,3),(0,4),(1,29),(1,36),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,14),(8,15),(9,16),(10,11),(11,12),(12,8),(13,9),(14,10),(15,5),(16,5),(17,20),(17,21),(18,17),(18,28),(19,17),(19,27),(20,9),(20,23),(21,8),(21,23),(22,6),(22,27),(23,15),(23,16),(24,19),(24,22),(25,18),(25,19),(26,18),(26,34),(27,13),(27,20),(28,12),(28,21),(29,26),(29,35),(30,25),(30,26),(31,24),(31,25),(32,7),(32,31),(32,36),(33,7),(33,29),(33,30),(34,6),(34,11),(34,28),(35,10),(35,22),(35,34),(36,14),(36,24),(36,35)],37)
[1,1,0,0,1,1,0,1,0,0] => 1100110100 => ([(0,3),(0,4),(1,35),(1,37),(2,36),(2,38),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,31),(20,18),(20,32),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,30),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,19),(28,20),(29,15),(29,33),(30,11),(30,31),(31,13),(31,21),(32,14),(32,22),(33,12),(33,32),(34,10),(34,30),(35,24),(35,28),(36,24),(36,34),(37,7),(37,27),(37,28),(38,6),(38,7),(38,34),(39,25),(39,26),(39,35),(39,36),(40,25),(40,26),(40,37),(40,38)],41)
[1,1,0,0,1,1,1,0,0,0] => 1100111000 => ([(0,5),(0,6),(1,18),(2,4),(2,35),(2,37),(3,1),(3,36),(3,39),(4,27),(4,28),(5,2),(5,29),(5,30),(6,3),(6,29),(6,30),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,22),(19,23),(20,19),(20,33),(21,19),(21,32),(22,10),(22,24),(23,11),(23,24),(24,16),(24,17),(25,8),(25,31),(26,20),(26,31),(27,21),(27,34),(28,20),(28,21),(29,37),(29,39),(30,35),(30,36),(31,15),(31,33),(32,13),(32,22),(33,14),(33,23),(34,12),(34,32),(35,26),(35,28),(36,25),(36,26),(37,27),(37,38),(38,8),(38,9),(38,34),(39,18),(39,25),(39,38)],40)
[1,1,0,1,0,0,1,0,1,0] => 1101001010 => ([(0,3),(0,4),(1,17),(2,25),(2,26),(3,2),(3,36),(3,38),(4,1),(4,36),(4,38),(6,14),(7,10),(8,15),(9,16),(10,11),(11,12),(12,9),(13,8),(14,13),(15,5),(16,5),(17,7),(18,22),(18,23),(19,20),(19,21),(20,18),(20,33),(21,18),(21,32),(22,9),(22,24),(23,8),(23,24),(24,15),(24,16),(25,19),(25,28),(26,19),(26,27),(27,21),(27,30),(28,20),(28,31),(29,6),(29,30),(30,14),(30,32),(31,11),(31,33),(32,13),(32,23),(33,12),(33,22),(34,7),(34,29),(34,35),(35,6),(35,10),(35,31),(36,26),(36,34),(36,37),(37,27),(37,28),(37,29),(37,35),(38,17),(38,25),(38,34),(38,37)],39)
[1,1,0,1,0,0,1,1,0,0] => 1101001100 => ([(0,3),(0,4),(1,35),(1,37),(2,36),(2,38),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,31),(20,18),(20,32),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,30),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,19),(28,20),(29,15),(29,33),(30,11),(30,31),(31,13),(31,21),(32,14),(32,22),(33,12),(33,32),(34,10),(34,30),(35,24),(35,28),(36,24),(36,34),(37,7),(37,27),(37,28),(38,6),(38,7),(38,34),(39,25),(39,26),(39,35),(39,36),(40,25),(40,26),(40,37),(40,38)],41)
[1,1,0,1,0,1,0,0,1,0] => 1101010010 => ([(0,3),(0,4),(1,18),(2,25),(2,26),(3,2),(3,35),(3,38),(4,1),(4,35),(4,38),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,7),(19,22),(19,23),(20,19),(20,32),(21,19),(21,31),(22,8),(22,24),(23,9),(23,24),(24,16),(24,17),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,21),(28,30),(29,15),(29,33),(30,11),(30,31),(31,13),(31,22),(32,14),(32,23),(33,12),(33,32),(34,7),(34,28),(34,37),(35,26),(35,34),(35,36),(36,6),(36,27),(36,28),(36,37),(37,10),(37,20),(37,21),(37,30),(38,18),(38,25),(38,34),(38,36)],39)
[1,1,0,1,0,1,0,1,0,0] => 1101010100 => ([(0,3),(0,4),(1,19),(2,18),(3,2),(3,25),(3,32),(4,1),(4,25),(4,32),(6,8),(7,9),(8,10),(9,11),(10,14),(11,15),(12,6),(13,7),(14,16),(15,17),(16,5),(17,5),(18,12),(19,13),(20,22),(20,23),(21,28),(21,29),(22,14),(22,24),(23,15),(23,24),(24,16),(24,17),(25,26),(25,27),(26,12),(26,21),(26,31),(27,13),(27,21),(27,31),(28,8),(28,20),(28,30),(29,9),(29,20),(29,30),(30,10),(30,11),(30,22),(30,23),(31,6),(31,7),(31,28),(31,29),(32,18),(32,19),(32,26),(32,27)],33)
[1,1,0,1,0,1,1,0,0,0] => 1101011000 => ([(0,4),(0,5),(1,18),(2,1),(2,26),(3,27),(3,37),(4,2),(4,38),(4,40),(5,3),(5,38),(5,40),(7,15),(8,11),(9,16),(10,17),(11,12),(12,13),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,22),(19,23),(20,19),(20,35),(21,19),(21,34),(22,10),(22,24),(23,9),(23,24),(24,16),(24,17),(25,29),(25,36),(26,18),(26,31),(27,28),(27,30),(28,20),(28,21),(29,20),(29,32),(30,21),(30,33),(31,7),(31,33),(32,12),(32,35),(33,15),(33,34),(34,14),(34,23),(35,13),(35,22),(36,11),(36,32),(37,8),(37,30),(37,31),(38,25),(38,27),(38,39),(39,8),(39,28),(39,29),(39,36),(40,25),(40,26),(40,37),(40,39)],41)
[1,1,0,1,1,0,0,0,1,0] => 1101100010 => ([(0,4),(0,5),(1,3),(1,36),(1,38),(2,37),(2,39),(3,26),(3,35),(4,1),(4,40),(4,41),(5,2),(5,40),(5,41),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,23),(20,24),(21,20),(21,33),(22,20),(22,32),(23,9),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,30),(27,8),(27,31),(28,22),(28,34),(29,21),(29,22),(30,13),(30,33),(31,14),(31,34),(32,15),(32,23),(33,16),(33,24),(34,12),(34,32),(35,11),(35,30),(36,26),(36,29),(37,28),(37,31),(38,17),(38,35),(39,8),(39,28),(39,29),(40,7),(40,27),(40,37),(40,38),(41,7),(41,27),(41,36),(41,39)],42)
[1,1,0,1,1,0,0,1,0,0] => 1101100100 => ([(0,3),(0,4),(1,36),(1,38),(2,35),(2,37),(3,2),(3,39),(3,40),(4,1),(4,39),(4,40),(6,14),(7,15),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,21),(18,22),(19,18),(19,31),(20,18),(20,32),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,6),(24,33),(25,7),(25,34),(26,19),(26,29),(27,20),(27,30),(28,19),(28,20),(29,10),(29,31),(30,11),(30,32),(31,12),(31,21),(32,13),(32,22),(33,14),(33,29),(34,15),(34,30),(35,26),(35,33),(36,27),(36,34),(37,6),(37,26),(37,28),(38,7),(38,27),(38,28),(39,24),(39,25),(39,35),(39,36),(40,24),(40,25),(40,37),(40,38)],41)
[1,1,0,1,1,0,1,0,0,0] => 1101101000 => ([(0,4),(0,5),(1,17),(2,1),(2,26),(3,24),(3,27),(4,2),(4,38),(4,39),(5,3),(5,38),(5,39),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,20),(18,21),(19,29),(19,32),(20,9),(20,23),(21,10),(21,23),(22,7),(22,33),(23,15),(23,16),(24,19),(24,31),(25,22),(25,30),(26,17),(26,22),(27,19),(27,37),(28,18),(28,35),(29,18),(29,34),(30,28),(30,33),(31,8),(31,32),(32,11),(32,34),(33,14),(33,35),(34,12),(34,20),(35,13),(35,21),(36,30),(36,31),(36,37),(37,8),(37,28),(37,29),(38,24),(38,25),(38,36),(39,25),(39,26),(39,27),(39,36)],40)
[1,1,0,1,1,1,0,0,0,0] => 1101110000 => ([(0,6),(0,7),(1,3),(1,32),(2,19),(3,2),(3,37),(4,5),(4,38),(4,40),(5,28),(5,29),(6,1),(6,30),(6,39),(7,4),(7,30),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,15),(15,11),(16,12),(17,8),(18,8),(19,9),(20,23),(20,24),(21,20),(21,35),(22,20),(22,33),(23,12),(23,25),(24,11),(24,25),(25,17),(25,18),(26,9),(26,33),(27,22),(27,26),(28,21),(28,22),(29,21),(29,34),(30,31),(30,38),(31,10),(31,36),(32,27),(32,37),(33,16),(33,23),(34,14),(34,35),(35,15),(35,24),(36,13),(36,34),(37,19),(37,26),(38,29),(38,36),(39,31),(39,32),(39,40),(40,10),(40,27),(40,28)],41)
[1,1,1,0,0,0,1,0,1,0] => 1110001010 => ([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,27),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,11),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,22),(27,21),(27,30),(28,22),(28,31),(29,9),(29,35),(30,14),(30,32),(31,13),(31,33),(32,16),(32,23),(33,15),(33,24),(34,17),(34,30),(35,12),(35,31),(36,8),(36,34),(37,27),(37,34),(38,26),(38,28),(39,29),(39,38),(39,40),(40,9),(40,28),(40,35),(41,29),(41,36),(41,37),(41,40)],42)
[1,1,1,0,0,0,1,1,0,0] => 1110001100 => ([(0,5),(0,6),(1,18),(2,4),(2,35),(2,37),(3,1),(3,36),(3,39),(4,27),(4,28),(5,2),(5,29),(5,30),(6,3),(6,29),(6,30),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,22),(19,23),(20,19),(20,33),(21,19),(21,32),(22,10),(22,24),(23,11),(23,24),(24,16),(24,17),(25,8),(25,31),(26,20),(26,31),(27,21),(27,34),(28,20),(28,21),(29,37),(29,39),(30,35),(30,36),(31,15),(31,33),(32,13),(32,22),(33,14),(33,23),(34,12),(34,32),(35,26),(35,28),(36,25),(36,26),(37,27),(37,38),(38,8),(38,9),(38,34),(39,18),(39,25),(39,38)],40)
[1,1,1,0,0,1,0,0,1,0] => 1110010010 => ([(0,4),(0,5),(1,16),(2,1),(2,22),(3,24),(3,33),(4,2),(4,32),(4,36),(5,3),(5,32),(5,36),(7,13),(8,11),(9,14),(10,15),(11,9),(12,10),(13,12),(14,6),(15,6),(16,7),(17,25),(17,29),(18,9),(18,20),(19,10),(19,20),(20,14),(20,15),(21,23),(21,26),(22,16),(22,28),(23,17),(23,34),(24,23),(24,35),(25,18),(25,19),(26,17),(26,27),(27,8),(27,29),(28,7),(28,30),(29,11),(29,18),(30,13),(30,31),(31,12),(31,19),(32,21),(32,24),(33,26),(33,28),(33,35),(34,8),(34,25),(34,31),(35,27),(35,30),(35,34),(36,21),(36,22),(36,33)],37)
[1,1,1,0,0,1,0,1,0,0] => 1110010100 => ([(0,4),(0,5),(1,18),(2,1),(2,26),(3,27),(3,37),(4,2),(4,38),(4,40),(5,3),(5,38),(5,40),(7,15),(8,11),(9,16),(10,17),(11,12),(12,13),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,22),(19,23),(20,19),(20,35),(21,19),(21,34),(22,10),(22,24),(23,9),(23,24),(24,16),(24,17),(25,29),(25,36),(26,18),(26,31),(27,28),(27,30),(28,20),(28,21),(29,20),(29,32),(30,21),(30,33),(31,7),(31,33),(32,12),(32,35),(33,15),(33,34),(34,14),(34,23),(35,13),(35,22),(36,11),(36,32),(37,8),(37,30),(37,31),(38,25),(38,27),(38,39),(39,8),(39,28),(39,29),(39,36),(40,25),(40,26),(40,37),(40,39)],41)
[1,1,1,0,0,1,1,0,0,0] => 1110011000 => ([(0,5),(0,6),(1,19),(2,18),(3,2),(3,35),(3,37),(4,1),(4,36),(4,38),(5,3),(5,27),(5,28),(6,4),(6,27),(6,28),(8,14),(9,15),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(19,9),(20,23),(20,24),(21,20),(21,32),(22,20),(22,31),(23,10),(23,25),(24,11),(24,25),(25,16),(25,17),(26,21),(26,22),(27,35),(27,36),(28,37),(28,38),(29,21),(29,34),(30,22),(30,33),(31,12),(31,23),(32,13),(32,24),(33,14),(33,31),(34,15),(34,32),(35,26),(35,29),(36,26),(36,30),(37,18),(37,29),(37,39),(38,19),(38,30),(38,39),(39,8),(39,9),(39,33),(39,34)],40)
[1,1,1,0,1,0,0,0,1,0] => 1110100010 => ([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,35),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,10),(23,25),(24,11),(24,25),(25,18),(25,19),(26,21),(26,30),(27,22),(27,31),(28,21),(28,22),(29,27),(29,34),(30,13),(30,32),(31,14),(31,33),(32,15),(32,23),(33,16),(33,24),(34,17),(34,31),(35,12),(35,30),(36,8),(36,34),(37,26),(37,28),(38,9),(38,35),(39,29),(39,38),(39,40),(40,9),(40,27),(40,28),(41,29),(41,36),(41,37),(41,40)],42)
[1,1,1,0,1,0,0,1,0,0] => 1110100100 => ([(0,4),(0,5),(1,17),(2,1),(2,26),(3,24),(3,27),(4,2),(4,38),(4,39),(5,3),(5,38),(5,39),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,20),(18,21),(19,29),(19,32),(20,9),(20,23),(21,10),(21,23),(22,7),(22,33),(23,15),(23,16),(24,19),(24,31),(25,22),(25,30),(26,17),(26,22),(27,19),(27,37),(28,18),(28,35),(29,18),(29,34),(30,28),(30,33),(31,8),(31,32),(32,11),(32,34),(33,14),(33,35),(34,12),(34,20),(35,13),(35,21),(36,30),(36,31),(36,37),(37,8),(37,28),(37,29),(38,24),(38,25),(38,36),(39,25),(39,26),(39,27),(39,36)],40)
[1,1,1,0,1,0,1,0,0,0] => 1110101000 => ([(0,5),(0,6),(1,4),(1,35),(2,3),(2,34),(3,8),(4,9),(5,2),(5,33),(5,39),(6,1),(6,33),(6,39),(8,16),(9,17),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,13),(18,7),(19,7),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,18),(23,19),(24,20),(24,27),(25,20),(25,28),(26,24),(26,25),(27,14),(27,21),(28,15),(28,22),(29,12),(29,27),(30,13),(30,28),(31,16),(31,29),(32,17),(32,30),(33,36),(33,37),(34,8),(34,31),(35,9),(35,32),(36,26),(36,31),(36,38),(37,26),(37,32),(37,38),(38,24),(38,25),(38,29),(38,30),(39,34),(39,35),(39,36),(39,37)],40)
[1,1,1,0,1,1,0,0,0,0] => 1110110000 => ([(0,6),(0,7),(1,3),(1,38),(2,19),(3,4),(3,27),(4,9),(5,2),(5,28),(5,40),(6,5),(6,37),(6,39),(7,1),(7,37),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,11),(15,12),(16,15),(17,8),(18,8),(19,10),(20,24),(20,25),(21,20),(21,35),(22,20),(22,36),(23,21),(23,33),(24,11),(24,26),(25,12),(25,26),(26,17),(26,18),(27,9),(27,34),(28,23),(28,29),(29,21),(29,22),(30,10),(30,33),(31,22),(31,34),(32,23),(32,30),(33,13),(33,35),(34,16),(34,36),(35,14),(35,24),(36,15),(36,25),(37,28),(37,32),(38,27),(38,31),(39,32),(39,38),(39,40),(40,19),(40,29),(40,30),(40,31)],41)
[1,1,1,1,0,0,0,0,1,0] => 1111000010 => ([(0,7),(0,8),(1,3),(1,30),(2,21),(3,2),(3,35),(4,6),(4,31),(4,34),(5,37),(5,38),(6,5),(6,36),(6,39),(7,1),(7,29),(7,40),(8,4),(8,29),(8,40),(10,18),(11,15),(12,19),(13,20),(14,16),(15,14),(16,17),(17,12),(18,13),(19,9),(20,9),(21,10),(22,26),(22,28),(23,12),(23,25),(24,13),(24,25),(25,19),(25,20),(26,10),(26,32),(27,23),(27,24),(28,27),(28,32),(29,11),(29,34),(30,22),(30,35),(31,22),(31,36),(32,18),(32,24),(33,17),(33,23),(34,15),(34,39),(35,21),(35,26),(36,28),(36,37),(37,27),(37,33),(38,16),(38,33),(39,14),(39,38),(40,11),(40,30),(40,31)],41)
[1,1,1,1,0,0,0,1,0,0] => 1111000100 => ([(0,6),(0,7),(1,3),(1,32),(2,19),(3,2),(3,37),(4,5),(4,38),(4,40),(5,28),(5,29),(6,1),(6,30),(6,39),(7,4),(7,30),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,15),(15,11),(16,12),(17,8),(18,8),(19,9),(20,23),(20,24),(21,20),(21,35),(22,20),(22,33),(23,12),(23,25),(24,11),(24,25),(25,17),(25,18),(26,9),(26,33),(27,22),(27,26),(28,21),(28,22),(29,21),(29,34),(30,31),(30,38),(31,10),(31,36),(32,27),(32,37),(33,16),(33,23),(34,14),(34,35),(35,15),(35,24),(36,13),(36,34),(37,19),(37,26),(38,29),(38,36),(39,31),(39,32),(39,40),(40,10),(40,27),(40,28)],41)
[1,1,1,1,0,0,1,0,0,0] => 1111001000 => ([(0,6),(0,7),(1,3),(1,38),(2,19),(3,4),(3,27),(4,9),(5,2),(5,28),(5,40),(6,5),(6,37),(6,39),(7,1),(7,37),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,11),(15,12),(16,15),(17,8),(18,8),(19,10),(20,24),(20,25),(21,20),(21,35),(22,20),(22,36),(23,21),(23,33),(24,11),(24,26),(25,12),(25,26),(26,17),(26,18),(27,9),(27,34),(28,23),(28,29),(29,21),(29,22),(30,10),(30,33),(31,22),(31,34),(32,23),(32,30),(33,13),(33,35),(34,16),(34,36),(35,14),(35,24),(36,15),(36,25),(37,28),(37,32),(38,27),(38,31),(39,32),(39,38),(39,40),(40,19),(40,29),(40,30),(40,31)],41)
[1,1,1,1,0,1,0,0,0,0] => 1111010000 => ([(0,7),(0,8),(1,6),(1,34),(2,5),(2,33),(3,18),(4,19),(5,3),(5,38),(6,4),(6,39),(7,2),(7,37),(7,40),(8,1),(8,37),(8,40),(10,14),(11,15),(12,16),(13,17),(14,12),(15,13),(16,9),(17,9),(18,10),(19,11),(20,25),(20,26),(21,25),(21,27),(22,20),(22,29),(23,21),(23,30),(24,20),(24,21),(25,35),(25,36),(26,14),(26,35),(27,15),(27,36),(28,16),(28,17),(29,10),(29,26),(30,11),(30,27),(31,22),(31,24),(32,23),(32,24),(33,22),(33,38),(34,23),(34,39),(35,12),(35,28),(36,13),(36,28),(37,31),(37,32),(38,18),(38,29),(39,19),(39,30),(40,31),(40,32),(40,33),(40,34)],41)
[1,1,1,1,1,0,0,0,0,0] => 1111100000 => ([(0,9),(0,10),(1,8),(1,28),(2,7),(2,27),(3,18),(4,19),(5,3),(5,34),(6,4),(6,35),(7,5),(7,32),(8,6),(8,33),(9,2),(9,29),(10,1),(10,29),(12,14),(13,15),(14,16),(15,17),(16,11),(17,11),(18,12),(19,13),(20,22),(20,23),(21,25),(21,26),(22,14),(22,24),(23,15),(23,24),(24,16),(24,17),(25,20),(25,30),(26,20),(26,31),(27,21),(27,32),(28,21),(28,33),(29,27),(29,28),(30,12),(30,22),(31,13),(31,23),(32,25),(32,34),(33,26),(33,35),(34,18),(34,30),(35,19),(35,31)],36)
[1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010 => ([(0,1),(0,2),(1,22),(1,23),(2,22),(2,23),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,16),(12,17),(13,16),(13,17),(14,10),(14,11),(15,10),(15,11),(16,20),(16,21),(17,20),(17,21),(18,14),(18,15),(19,14),(19,15),(20,4),(20,5),(21,4),(21,5),(22,18),(22,19),(23,18),(23,19)],24)
[1,0,1,0,1,0,1,0,1,1,0,0] => 101010101100 => ([(0,3),(0,4),(1,18),(2,22),(2,23),(3,2),(3,45),(3,46),(4,1),(4,45),(4,46),(6,15),(7,13),(8,16),(9,17),(10,11),(11,14),(12,10),(13,9),(14,8),(15,12),(16,5),(17,5),(18,6),(19,9),(19,21),(20,8),(20,21),(21,16),(21,17),(22,30),(22,34),(23,6),(23,34),(24,33),(24,44),(25,19),(25,20),(26,7),(26,39),(27,29),(27,37),(28,27),(28,36),(29,25),(29,35),(30,28),(30,38),(31,32),(31,43),(32,26),(32,41),(33,31),(33,42),(34,15),(34,38),(35,14),(35,20),(36,10),(36,37),(37,11),(37,35),(38,12),(38,36),(39,13),(39,19),(40,30),(40,33),(40,44),(41,7),(41,25),(41,39),(42,27),(42,32),(42,43),(43,26),(43,29),(43,41),(44,28),(44,31),(44,42),(45,22),(45,24),(45,40),(46,18),(46,23),(46,24),(46,40)],47)
[1,0,1,0,1,0,1,1,0,0,1,0] => 101010110010 => ([(0,3),(0,4),(1,46),(1,47),(2,45),(2,48),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,27),(20,28),(21,22),(21,23),(22,24),(22,26),(23,24),(23,41),(24,20),(24,40),(25,23),(25,42),(26,20),(26,39),(27,9),(27,29),(28,8),(28,29),(29,18),(29,19),(30,21),(30,25),(31,25),(31,37),(32,22),(32,33),(33,26),(33,38),(34,6),(34,44),(35,21),(35,32),(36,34),(36,51),(37,12),(37,42),(38,14),(38,39),(39,16),(39,27),(40,15),(40,28),(41,13),(41,40),(42,11),(42,41),(43,10),(43,37),(44,17),(44,38),(45,31),(45,43),(46,30),(46,35),(47,30),(47,31),(48,7),(48,43),(49,35),(49,36),(49,52),(50,7),(50,36),(50,52),(51,6),(51,33),(51,44),(52,32),(52,34),(52,51),(53,45),(53,47),(53,49),(53,50),(54,46),(54,48),(54,49),(54,50)],55)
[1,0,1,0,1,0,1,1,0,1,0,0] => 101010110100 => ([(0,3),(0,4),(1,20),(2,32),(2,33),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,24),(21,25),(22,29),(22,30),(23,21),(23,27),(24,26),(24,28),(25,26),(25,44),(26,22),(26,41),(27,25),(27,43),(28,22),(28,42),(29,8),(29,31),(30,9),(30,31),(31,18),(31,19),(32,23),(32,34),(33,23),(33,35),(34,27),(34,40),(35,21),(35,36),(36,24),(36,37),(37,28),(37,39),(38,6),(38,45),(39,14),(39,42),(40,12),(40,43),(41,15),(41,29),(42,16),(42,30),(43,11),(43,44),(44,13),(44,41),(45,17),(45,39),(46,7),(46,48),(46,51),(47,6),(47,37),(47,45),(48,36),(48,38),(48,47),(49,33),(49,46),(49,50),(50,34),(50,35),(50,48),(50,51),(51,10),(51,38),(51,40),(51,47),(52,20),(52,32),(52,46),(52,50)],53)
[1,0,1,0,1,0,1,1,1,0,0,0] => 101010111000 => ([(0,5),(0,6),(1,2),(1,48),(2,8),(3,4),(3,49),(3,50),(4,32),(4,33),(5,1),(5,51),(5,55),(6,3),(6,51),(6,55),(8,19),(9,12),(10,20),(11,21),(12,15),(13,14),(14,17),(15,18),(16,13),(17,10),(18,11),(19,16),(20,7),(21,7),(22,29),(22,30),(23,26),(23,28),(24,23),(24,25),(25,26),(25,44),(26,22),(26,43),(27,25),(27,45),(28,22),(28,42),(29,11),(29,31),(30,10),(30,31),(31,20),(31,21),(32,24),(32,27),(33,27),(33,40),(34,24),(34,36),(35,28),(35,41),(36,23),(36,35),(37,9),(37,47),(38,37),(38,52),(39,38),(39,53),(40,16),(40,45),(41,15),(41,42),(42,18),(42,29),(43,17),(43,30),(44,14),(44,43),(45,13),(45,44),(46,19),(46,40),(47,12),(47,41),(48,8),(48,46),(49,33),(49,46),(50,32),(50,34),(51,39),(51,50),(51,54),(52,9),(52,35),(52,47),(53,36),(53,37),(53,52),(54,34),(54,38),(54,53),(55,39),(55,48),(55,49),(55,54)],56)
[1,0,1,0,1,1,0,0,1,0,1,0] => 101011001010 => ([(0,3),(0,4),(1,48),(1,50),(2,47),(2,49),(3,2),(3,53),(3,54),(4,1),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,14),(11,15),(12,10),(13,11),(14,8),(15,9),(16,12),(17,13),(18,5),(19,5),(20,26),(20,27),(21,30),(21,31),(22,20),(22,24),(23,20),(23,25),(24,26),(24,43),(25,27),(25,44),(26,21),(26,41),(27,21),(27,42),(28,24),(28,45),(29,25),(29,46),(30,8),(30,32),(31,9),(31,32),(32,18),(32,19),(33,22),(33,23),(34,22),(34,28),(35,23),(35,29),(36,28),(36,39),(37,29),(37,40),(38,6),(38,7),(39,16),(39,45),(40,17),(40,46),(41,14),(41,30),(42,15),(42,31),(43,10),(43,41),(44,11),(44,42),(45,12),(45,43),(46,13),(46,44),(47,33),(47,34),(48,33),(48,35),(49,34),(49,36),(50,35),(50,37),(51,36),(51,38),(51,55),(52,37),(52,38),(52,55),(53,47),(53,48),(53,51),(53,52),(54,49),(54,50),(54,51),(54,52),(55,6),(55,7),(55,39),(55,40)],56)
[1,0,1,0,1,1,0,0,1,1,0,0] => 101011001100 => ([(0,3),(0,4),(1,48),(1,52),(2,46),(2,47),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,11),(11,14),(12,15),(13,10),(14,8),(15,9),(16,13),(17,12),(18,5),(19,5),(20,26),(20,27),(21,23),(21,38),(22,23),(22,33),(23,24),(23,43),(24,20),(24,40),(25,20),(25,41),(26,9),(26,28),(27,8),(27,28),(28,18),(28,19),(29,22),(29,51),(30,21),(30,36),(31,21),(31,22),(32,6),(32,45),(33,24),(33,25),(34,35),(34,44),(35,25),(35,42),(36,7),(36,38),(37,34),(37,39),(38,17),(38,43),(39,13),(39,44),(40,15),(40,26),(41,14),(41,27),(42,11),(42,41),(43,12),(43,40),(44,10),(44,42),(45,16),(45,39),(46,30),(46,31),(47,29),(47,31),(48,29),(48,49),(49,34),(49,36),(49,51),(50,6),(50,37),(50,45),(51,7),(51,33),(51,35),(52,30),(52,37),(52,49),(53,32),(53,47),(53,48),(53,50),(54,32),(54,46),(54,50),(54,52)],55)
[1,0,1,0,1,1,0,1,0,0,1,0] => 101011010010 => ([(0,3),(0,4),(1,48),(1,49),(2,50),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,18),(7,15),(8,19),(9,20),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,5),(20,5),(21,30),(21,31),(22,23),(22,25),(23,26),(23,27),(24,7),(24,39),(25,26),(25,43),(26,21),(26,41),(27,21),(27,42),(28,25),(28,46),(29,27),(29,44),(30,9),(30,32),(31,8),(31,32),(32,19),(32,20),(33,38),(33,40),(34,28),(34,39),(35,22),(35,37),(36,22),(36,28),(37,23),(37,29),(38,29),(38,45),(39,15),(39,46),(40,14),(40,45),(41,17),(41,30),(42,16),(42,31),(43,13),(43,41),(44,12),(44,42),(45,10),(45,44),(46,11),(46,43),(47,18),(47,40),(48,34),(48,36),(49,35),(49,36),(50,33),(50,47),(51,6),(51,47),(52,7),(52,37),(52,38),(53,49),(53,50),(53,55),(53,56),(54,48),(54,51),(54,55),(54,56),(55,24),(55,34),(55,35),(55,52),(56,6),(56,24),(56,33),(56,52)],57)
[1,0,1,0,1,1,0,1,0,1,0,0] => 101011010100 => ([(0,3),(0,4),(1,20),(2,33),(2,34),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,12),(8,18),(9,19),(10,11),(11,13),(12,10),(13,16),(14,15),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,25),(24,21),(24,27),(25,27),(25,39),(26,21),(26,37),(27,28),(27,43),(28,22),(28,42),(29,22),(29,41),(30,9),(30,32),(31,8),(31,32),(32,18),(32,19),(33,23),(33,36),(34,23),(34,35),(35,25),(35,38),(36,24),(36,26),(37,29),(37,40),(38,6),(38,39),(39,17),(39,43),(40,13),(40,41),(41,16),(41,30),(42,15),(42,31),(43,14),(43,42),(44,11),(44,40),(45,10),(45,44),(46,7),(46,48),(46,51),(47,6),(47,37),(47,44),(48,38),(48,45),(48,47),(49,34),(49,46),(49,50),(50,35),(50,36),(50,48),(50,51),(51,12),(51,26),(51,45),(51,47),(52,20),(52,33),(52,46),(52,50)],53)
[1,0,1,0,1,1,0,1,1,0,0,0] => 101011011000 => ([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,11),(9,20),(10,21),(11,12),(12,13),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,29),(23,30),(24,25),(24,26),(25,23),(25,41),(26,23),(26,42),(27,25),(27,43),(28,26),(28,44),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,8),(32,45),(33,22),(33,37),(34,49),(34,50),(35,24),(35,27),(36,24),(36,28),(37,7),(37,47),(38,35),(38,36),(39,13),(39,44),(40,16),(40,43),(41,18),(41,29),(42,17),(42,30),(43,15),(43,41),(44,14),(44,42),(45,11),(45,46),(46,12),(46,39),(47,19),(47,40),(48,37),(48,38),(48,50),(49,35),(49,46),(49,53),(50,36),(50,47),(50,53),(51,32),(51,34),(51,52),(52,8),(52,38),(52,45),(52,49),(53,27),(53,28),(53,39),(53,40),(54,32),(54,33),(54,48),(54,52)],55)
[1,0,1,0,1,1,1,0,0,0,1,0] => 101011100010 => ([(0,5),(0,6),(1,4),(1,52),(1,54),(2,3),(2,53),(2,55),(3,40),(3,50),(4,38),(4,39),(5,1),(5,58),(5,59),(6,2),(6,58),(6,59),(8,21),(9,12),(10,22),(11,23),(12,15),(13,16),(14,17),(15,13),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,48),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,28),(32,49),(33,29),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,32),(38,26),(38,27),(39,27),(39,33),(40,32),(40,42),(41,33),(41,43),(42,18),(42,49),(43,15),(43,46),(44,19),(44,34),(45,20),(45,35),(46,13),(46,47),(47,16),(47,44),(48,17),(48,45),(49,14),(49,48),(50,21),(50,42),(51,12),(51,43),(52,37),(52,38),(53,37),(53,40),(54,39),(54,41),(55,8),(55,50),(56,9),(56,41),(56,51),(57,8),(57,9),(57,51),(58,52),(58,53),(58,56),(58,57),(59,54),(59,55),(59,56),(59,57)],60)
[1,0,1,0,1,1,1,0,0,1,0,0] => 101011100100 => ([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,38),(3,39),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,27),(26,23),(26,28),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,9),(33,35),(34,10),(34,35),(35,21),(35,22),(36,25),(36,31),(37,31),(37,41),(38,25),(38,26),(39,26),(39,32),(40,32),(40,42),(41,17),(41,48),(42,14),(42,45),(43,18),(43,33),(44,19),(44,34),(45,12),(45,46),(46,15),(46,43),(47,16),(47,44),(48,13),(48,47),(49,20),(49,41),(50,11),(50,42),(51,37),(51,49),(52,36),(52,38),(53,39),(53,40),(54,8),(54,40),(54,50),(55,7),(55,36),(55,37),(56,7),(56,8),(56,49),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
[1,0,1,0,1,1,1,0,1,0,0,0] => 101011101000 => ([(0,5),(0,6),(1,2),(1,50),(2,8),(3,4),(3,51),(3,52),(4,37),(4,38),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,16),(15,19),(16,18),(17,13),(18,10),(19,11),(20,12),(21,7),(22,7),(23,29),(23,30),(24,33),(24,34),(25,23),(25,32),(26,23),(26,28),(27,31),(27,41),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,28),(31,47),(32,29),(32,45),(33,10),(33,35),(34,11),(34,35),(35,21),(35,22),(36,25),(36,39),(37,26),(37,31),(38,25),(38,26),(39,32),(39,42),(40,9),(40,41),(41,17),(41,47),(42,14),(42,45),(43,19),(43,34),(44,18),(44,33),(45,16),(45,44),(46,15),(46,43),(47,13),(47,46),(48,12),(48,42),(49,20),(49,48),(50,8),(50,49),(51,36),(51,38),(52,27),(52,37),(53,52),(53,55),(53,57),(54,9),(54,39),(54,48),(55,40),(55,49),(55,54),(56,50),(56,51),(56,55),(56,57),(57,27),(57,36),(57,40),(57,54)],58)
[1,0,1,0,1,1,1,1,0,0,0,0] => 101011110000 => ([(0,7),(0,8),(1,3),(1,38),(2,24),(3,2),(3,51),(4,6),(4,39),(4,41),(5,54),(5,55),(6,5),(6,52),(6,53),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,14),(12,22),(13,23),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,29),(25,30),(26,32),(26,33),(27,25),(27,45),(28,25),(28,46),(29,12),(29,31),(30,13),(30,31),(31,22),(31,23),(32,10),(32,43),(33,35),(33,43),(34,27),(34,48),(35,28),(35,49),(36,34),(36,47),(37,27),(37,28),(38,26),(38,51),(39,26),(39,53),(40,36),(40,44),(41,40),(41,52),(42,11),(42,50),(43,21),(43,49),(44,16),(44,47),(45,19),(45,29),(46,20),(46,30),(47,15),(47,48),(48,17),(48,45),(49,18),(49,46),(50,14),(50,44),(51,24),(51,32),(52,36),(52,54),(53,33),(53,55),(54,34),(54,37),(55,35),(55,37),(56,41),(56,42),(56,57),(57,11),(57,40),(57,50),(58,38),(58,39),(58,42),(58,57)],59)
[1,0,1,1,0,0,1,0,1,0,1,0] => 101100101010 => ([(0,3),(0,4),(1,46),(1,47),(2,45),(2,48),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,27),(20,28),(21,22),(21,23),(22,24),(22,26),(23,24),(23,41),(24,20),(24,40),(25,23),(25,42),(26,20),(26,39),(27,9),(27,29),(28,8),(28,29),(29,18),(29,19),(30,21),(30,25),(31,25),(31,37),(32,22),(32,33),(33,26),(33,38),(34,6),(34,44),(35,21),(35,32),(36,34),(36,51),(37,12),(37,42),(38,14),(38,39),(39,16),(39,27),(40,15),(40,28),(41,13),(41,40),(42,11),(42,41),(43,10),(43,37),(44,17),(44,38),(45,31),(45,43),(46,30),(46,35),(47,30),(47,31),(48,7),(48,43),(49,35),(49,36),(49,52),(50,7),(50,36),(50,52),(51,6),(51,33),(51,44),(52,32),(52,34),(52,51),(53,45),(53,47),(53,49),(53,50),(54,46),(54,48),(54,49),(54,50)],55)
[1,0,1,1,0,0,1,0,1,1,0,0] => 101100101100 => ([(0,3),(0,4),(1,46),(1,48),(2,47),(2,49),(3,1),(3,50),(3,51),(4,2),(4,50),(4,51),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,19),(17,44),(18,19),(18,45),(19,29),(19,30),(20,27),(20,32),(21,32),(21,33),(22,16),(22,28),(23,28),(23,31),(24,16),(24,27),(25,31),(25,33),(26,22),(26,23),(27,17),(27,42),(28,18),(28,43),(29,8),(29,34),(30,9),(30,34),(31,6),(31,43),(32,7),(32,42),(33,6),(33,7),(34,14),(34,15),(35,23),(35,25),(36,22),(36,24),(37,20),(37,21),(38,21),(38,25),(39,20),(39,24),(40,26),(40,35),(41,26),(41,36),(42,12),(42,44),(43,13),(43,45),(44,10),(44,29),(45,11),(45,30),(46,37),(46,38),(47,37),(47,39),(48,35),(48,38),(49,36),(49,39),(50,40),(50,41),(50,46),(50,47),(51,40),(51,41),(51,48),(51,49)],52)
[1,0,1,1,0,0,1,1,0,0,1,0] => 101100110010 => ([(0,3),(0,4),(1,42),(1,48),(2,41),(2,47),(3,2),(3,49),(3,50),(4,1),(4,49),(4,50),(6,16),(7,17),(8,22),(9,23),(10,12),(11,13),(12,14),(13,15),(14,8),(15,9),(16,18),(17,19),(18,20),(19,21),(20,10),(21,11),(22,5),(23,5),(24,26),(24,39),(25,26),(25,40),(26,28),(26,29),(27,24),(27,25),(28,9),(28,30),(29,8),(29,30),(30,22),(30,23),(31,33),(31,34),(32,45),(32,46),(33,27),(33,35),(34,27),(34,36),(35,24),(35,37),(36,25),(36,38),(37,13),(37,39),(38,12),(38,40),(39,15),(39,28),(40,14),(40,29),(41,32),(41,43),(42,32),(42,44),(43,18),(43,33),(43,45),(44,19),(44,34),(44,46),(45,20),(45,35),(45,51),(46,21),(46,36),(46,51),(47,16),(47,31),(47,43),(48,17),(48,31),(48,44),(49,6),(49,7),(49,47),(49,48),(50,6),(50,7),(50,41),(50,42),(51,10),(51,11),(51,37),(51,38)],52)
[1,0,1,1,0,0,1,1,0,1,0,0] => 101100110100 => ([(0,3),(0,4),(1,49),(1,52),(2,51),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,6),(35,48),(36,31),(36,40),(37,24),(37,30),(38,24),(38,25),(39,30),(39,41),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,37),(49,38),(50,7),(50,36),(50,48),(51,36),(51,39),(51,56),(52,6),(52,37),(52,39),(53,7),(53,38),(53,56),(54,35),(54,49),(54,50),(54,53),(55,35),(55,50),(55,51),(55,52),(56,10),(56,25),(56,31),(56,41)],57)
[1,0,1,1,0,0,1,1,1,0,0,0] => 101100111000 => ([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,40),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,13),(13,14),(14,16),(15,18),(16,19),(17,15),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,31),(25,32),(26,34),(26,35),(27,25),(27,33),(28,30),(28,42),(29,25),(29,30),(30,32),(30,47),(31,26),(31,45),(32,26),(32,44),(33,31),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,27),(37,29),(38,27),(38,41),(39,28),(39,29),(40,28),(40,50),(41,33),(41,43),(42,17),(42,47),(43,14),(43,46),(44,18),(44,34),(45,19),(45,35),(46,16),(46,45),(47,15),(47,44),(48,12),(48,49),(49,13),(49,43),(50,20),(50,42),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,40),(54,48),(54,56),(55,24),(55,38),(55,56),(56,8),(56,41),(56,49),(56,50),(57,21),(57,37),(57,39),(57,48)],58)
[1,0,1,1,0,1,0,0,1,0,1,0] => 101101001010 => ([(0,3),(0,4),(1,48),(1,49),(2,50),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,18),(7,15),(8,19),(9,20),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,5),(20,5),(21,30),(21,31),(22,23),(22,25),(23,26),(23,27),(24,7),(24,39),(25,26),(25,43),(26,21),(26,41),(27,21),(27,42),(28,25),(28,46),(29,27),(29,44),(30,9),(30,32),(31,8),(31,32),(32,19),(32,20),(33,38),(33,40),(34,28),(34,39),(35,22),(35,37),(36,22),(36,28),(37,23),(37,29),(38,29),(38,45),(39,15),(39,46),(40,14),(40,45),(41,17),(41,30),(42,16),(42,31),(43,13),(43,41),(44,12),(44,42),(45,10),(45,44),(46,11),(46,43),(47,18),(47,40),(48,34),(48,36),(49,35),(49,36),(50,33),(50,47),(51,6),(51,47),(52,7),(52,37),(52,38),(53,49),(53,50),(53,55),(53,56),(54,48),(54,51),(54,55),(54,56),(55,24),(55,34),(55,35),(55,52),(56,6),(56,24),(56,33),(56,52)],57)
[1,0,1,1,0,1,0,0,1,1,0,0] => 101101001100 => ([(0,3),(0,4),(1,49),(1,51),(2,52),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,47),(27,29),(27,46),(28,23),(28,44),(29,23),(29,43),(30,27),(30,45),(31,26),(31,48),(32,9),(32,34),(33,8),(33,34),(34,20),(34,21),(35,24),(35,30),(36,35),(36,37),(37,24),(37,25),(38,30),(38,42),(39,25),(39,31),(40,31),(40,41),(41,13),(41,48),(42,16),(42,45),(43,18),(43,32),(44,17),(44,33),(45,12),(45,46),(46,15),(46,43),(47,14),(47,44),(48,11),(48,47),(49,39),(49,40),(50,6),(50,35),(50,38),(51,7),(51,37),(51,39),(52,7),(52,38),(52,56),(53,6),(53,40),(53,56),(54,36),(54,49),(54,50),(54,53),(55,36),(55,50),(55,51),(55,52),(56,10),(56,19),(56,41),(56,42)],57)
[1,0,1,1,0,1,0,1,0,0,1,0] => 101101010010 => ([(0,3),(0,4),(1,49),(1,51),(2,48),(2,50),(3,2),(3,52),(3,53),(4,1),(4,52),(4,53),(6,18),(7,19),(8,20),(9,21),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,15),(20,5),(21,5),(22,28),(22,29),(23,24),(23,25),(24,22),(24,40),(25,22),(25,41),(26,24),(26,42),(27,25),(27,43),(28,8),(28,30),(29,9),(29,30),(30,20),(30,21),(31,23),(31,26),(32,23),(32,27),(33,26),(33,44),(34,27),(34,45),(35,33),(35,38),(36,34),(36,39),(37,31),(37,32),(38,14),(38,44),(39,15),(39,45),(40,16),(40,28),(41,17),(41,29),(42,12),(42,40),(43,13),(43,41),(44,10),(44,42),(45,11),(45,43),(46,18),(46,38),(47,19),(47,39),(48,35),(48,46),(49,36),(49,47),(50,6),(50,46),(51,7),(51,47),(52,48),(52,49),(52,55),(52,56),(53,50),(53,51),(53,55),(53,56),(54,31),(54,32),(54,33),(54,34),(55,6),(55,35),(55,37),(55,54),(56,7),(56,36),(56,37),(56,54)],57)
[1,0,1,1,0,1,0,1,0,1,0,0] => 101101010100 => ([(0,3),(0,4),(1,22),(2,29),(2,30),(3,2),(3,46),(3,50),(4,1),(4,46),(4,50),(6,18),(7,11),(8,20),(9,21),(10,17),(11,12),(12,19),(13,14),(14,16),(15,13),(16,8),(17,9),(18,15),(19,10),(20,5),(21,5),(22,7),(23,26),(23,27),(24,34),(24,41),(25,24),(25,39),(26,8),(26,28),(27,9),(27,28),(28,20),(28,21),(29,25),(29,37),(30,6),(30,37),(31,23),(31,36),(32,23),(32,38),(33,31),(33,42),(34,32),(34,40),(35,44),(35,45),(36,17),(36,27),(37,18),(37,39),(38,16),(38,26),(39,15),(39,41),(40,14),(40,38),(41,13),(41,40),(42,10),(42,36),(43,7),(43,35),(43,49),(44,33),(44,34),(44,48),(45,12),(45,33),(45,48),(46,30),(46,43),(46,47),(47,6),(47,25),(47,35),(47,49),(48,19),(48,31),(48,32),(48,42),(49,11),(49,24),(49,44),(49,45),(50,22),(50,29),(50,43),(50,47)],51)
[1,0,1,1,0,1,0,1,1,0,0,0] => 101101011000 => ([(0,4),(0,5),(1,20),(2,1),(2,33),(3,36),(3,49),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,27),(21,28),(22,29),(22,30),(23,26),(23,42),(24,21),(24,26),(25,21),(25,38),(26,27),(26,46),(27,22),(27,45),(28,22),(28,44),(29,10),(29,31),(30,9),(30,31),(31,18),(31,19),(32,34),(32,35),(33,20),(33,40),(34,23),(34,24),(35,24),(35,25),(36,37),(36,51),(37,25),(37,50),(38,28),(38,43),(39,8),(39,42),(40,7),(40,47),(41,23),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,29),(45,15),(45,30),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,32),(52,36),(52,53),(53,34),(53,35),(53,37),(53,41),(54,32),(54,33),(54,49),(54,53)],55)
[1,0,1,1,0,1,1,0,0,0,1,0] => 101101100010 => ([(0,4),(0,5),(1,49),(1,53),(2,3),(2,48),(2,50),(3,34),(3,47),(4,1),(4,54),(4,55),(5,2),(5,54),(5,55),(7,19),(8,16),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,11),(20,6),(21,6),(22,29),(22,30),(23,39),(23,40),(24,23),(24,52),(25,26),(25,44),(26,27),(26,45),(27,22),(27,42),(28,22),(28,43),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,23),(32,38),(33,25),(33,36),(34,25),(34,41),(35,24),(35,32),(36,26),(36,37),(37,27),(37,28),(38,8),(38,40),(39,28),(39,46),(40,16),(40,46),(41,13),(41,44),(42,18),(42,29),(43,17),(43,30),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,11),(47,41),(48,33),(48,34),(49,24),(49,51),(50,19),(50,47),(51,36),(51,38),(51,52),(52,8),(52,37),(52,39),(53,32),(53,33),(53,51),(54,7),(54,35),(54,49),(54,50),(55,7),(55,35),(55,48),(55,53)],56)
[1,0,1,1,0,1,1,0,0,1,0,0] => 101101100100 => ([(0,3),(0,4),(1,48),(1,52),(2,47),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,14),(8,18),(9,19),(10,11),(11,16),(12,15),(13,10),(14,12),(15,8),(16,9),(17,13),(18,5),(19,5),(20,38),(20,39),(21,28),(21,29),(22,20),(22,37),(23,20),(23,50),(24,25),(24,43),(25,27),(25,44),(26,21),(26,42),(27,21),(27,41),(28,8),(28,30),(29,9),(29,30),(30,18),(30,19),(31,24),(31,35),(32,24),(32,40),(33,22),(33,23),(34,6),(34,46),(35,25),(35,36),(36,26),(36,27),(37,7),(37,39),(38,26),(38,45),(39,14),(39,45),(40,13),(40,43),(41,16),(41,29),(42,15),(42,28),(43,10),(43,44),(44,11),(44,41),(45,12),(45,42),(46,17),(46,40),(47,32),(47,46),(48,23),(48,49),(49,35),(49,37),(49,50),(50,7),(50,36),(50,38),(51,6),(51,31),(51,32),(52,22),(52,31),(52,49),(53,33),(53,34),(53,51),(53,52),(54,33),(54,34),(54,47),(54,48)],55)
[1,0,1,1,0,1,1,0,1,0,0,0] => 101101101000 => ([(0,4),(0,5),(1,19),(2,1),(2,28),(3,26),(3,31),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,16),(8,13),(9,17),(10,18),(11,14),(12,11),(13,15),(14,9),(15,10),(16,12),(17,6),(18,6),(19,7),(20,22),(20,23),(21,38),(21,40),(22,9),(22,25),(23,10),(23,25),(24,7),(24,41),(25,17),(25,18),(26,29),(26,32),(27,24),(27,33),(28,19),(28,24),(29,30),(29,48),(30,21),(30,47),(31,29),(31,49),(32,30),(32,34),(33,39),(33,41),(34,21),(34,35),(35,8),(35,40),(36,37),(36,45),(37,20),(37,42),(38,20),(38,43),(39,36),(39,44),(40,13),(40,43),(41,16),(41,44),(42,14),(42,22),(43,15),(43,23),(44,12),(44,45),(45,11),(45,42),(46,32),(46,33),(46,49),(47,8),(47,37),(47,38),(48,35),(48,36),(48,47),(49,34),(49,39),(49,48),(50,26),(50,27),(50,46),(51,27),(51,28),(51,31),(51,46)],52)
[1,0,1,1,0,1,1,1,0,0,0,0] => 101101110000 => ([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,26),(24,27),(25,27),(25,45),(26,28),(26,29),(27,29),(27,51),(28,23),(28,48),(29,23),(29,47),(30,28),(30,49),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,24),(35,41),(36,44),(36,55),(37,25),(37,34),(38,42),(38,46),(39,10),(39,46),(40,24),(40,25),(41,26),(41,30),(42,30),(42,50),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,50),(47,18),(47,32),(48,17),(48,31),(49,14),(49,48),(50,13),(50,49),(51,15),(51,47),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
[1,0,1,1,1,0,0,0,1,0,1,0] => 101110001010 => ([(0,5),(0,6),(1,4),(1,52),(1,54),(2,3),(2,53),(2,55),(3,40),(3,50),(4,38),(4,39),(5,1),(5,58),(5,59),(6,2),(6,58),(6,59),(8,21),(9,12),(10,22),(11,23),(12,15),(13,16),(14,17),(15,13),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,48),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,28),(32,49),(33,29),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,32),(38,26),(38,27),(39,27),(39,33),(40,32),(40,42),(41,33),(41,43),(42,18),(42,49),(43,15),(43,46),(44,19),(44,34),(45,20),(45,35),(46,13),(46,47),(47,16),(47,44),(48,17),(48,45),(49,14),(49,48),(50,21),(50,42),(51,12),(51,43),(52,37),(52,38),(53,37),(53,40),(54,39),(54,41),(55,8),(55,50),(56,9),(56,41),(56,51),(57,8),(57,9),(57,51),(58,52),(58,53),(58,56),(58,57),(59,54),(59,55),(59,56),(59,57)],60)
[1,0,1,1,1,0,0,0,1,1,0,0] => 101110001100 => ([(0,5),(0,6),(1,3),(1,51),(1,52),(2,4),(2,56),(2,57),(3,35),(3,37),(4,36),(4,50),(5,1),(5,54),(5,55),(6,2),(6,54),(6,55),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,47),(28,24),(28,44),(29,24),(29,45),(30,27),(30,46),(31,29),(31,48),(32,10),(32,34),(33,11),(33,34),(34,22),(34,23),(35,25),(35,40),(36,41),(36,42),(37,25),(37,30),(38,8),(38,43),(39,30),(39,43),(40,26),(40,31),(41,31),(41,49),(42,14),(42,49),(43,20),(43,46),(44,18),(44,32),(45,19),(45,33),(46,17),(46,47),(47,16),(47,44),(48,15),(48,45),(49,13),(49,48),(50,12),(50,42),(51,37),(51,39),(52,35),(52,53),(53,8),(53,40),(53,41),(54,9),(54,52),(54,56),(55,9),(55,51),(55,57),(56,36),(56,38),(56,53),(57,21),(57,38),(57,39),(57,50)],58)
[1,0,1,1,1,0,0,1,0,0,1,0] => 101110010010 => ([(0,4),(0,5),(1,49),(1,53),(2,3),(2,48),(2,50),(3,34),(3,47),(4,1),(4,54),(4,55),(5,2),(5,54),(5,55),(7,19),(8,16),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,11),(20,6),(21,6),(22,29),(22,30),(23,39),(23,40),(24,23),(24,52),(25,26),(25,44),(26,27),(26,45),(27,22),(27,42),(28,22),(28,43),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,23),(32,38),(33,25),(33,36),(34,25),(34,41),(35,24),(35,32),(36,26),(36,37),(37,27),(37,28),(38,8),(38,40),(39,28),(39,46),(40,16),(40,46),(41,13),(41,44),(42,18),(42,29),(43,17),(43,30),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,11),(47,41),(48,33),(48,34),(49,24),(49,51),(50,19),(50,47),(51,36),(51,38),(51,52),(52,8),(52,37),(52,39),(53,32),(53,33),(53,51),(54,7),(54,35),(54,49),(54,50),(55,7),(55,35),(55,48),(55,53)],56)
[1,0,1,1,1,0,0,1,0,1,0,0] => 101110010100 => ([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,39),(3,49),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,28),(26,23),(26,27),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,10),(33,35),(34,9),(34,35),(35,21),(35,22),(36,25),(36,32),(37,25),(37,26),(38,26),(38,31),(39,31),(39,41),(40,32),(40,42),(41,14),(41,48),(42,17),(42,45),(43,19),(43,33),(44,18),(44,34),(45,13),(45,46),(46,16),(46,43),(47,15),(47,44),(48,12),(48,47),(49,11),(49,41),(50,20),(50,42),(51,36),(51,37),(52,38),(52,39),(53,8),(53,49),(54,8),(54,40),(54,50),(55,7),(55,37),(55,38),(56,7),(56,36),(56,40),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
[1,0,1,1,1,0,0,1,1,0,0,0] => 101110011000 => ([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,49),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,18),(16,19),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,33),(25,34),(26,28),(26,29),(27,29),(27,43),(28,30),(28,31),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,30),(32,46),(33,10),(33,35),(34,11),(34,35),(35,22),(35,23),(36,27),(36,50),(37,26),(37,27),(38,26),(38,40),(39,41),(39,42),(40,28),(40,32),(41,32),(41,48),(42,14),(42,48),(43,17),(43,47),(44,19),(44,34),(45,18),(45,33),(46,15),(46,45),(47,16),(47,44),(48,13),(48,46),(49,12),(49,42),(50,20),(50,43),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,36),(54,39),(54,56),(55,24),(55,38),(55,56),(56,8),(56,40),(56,41),(56,50),(57,21),(57,36),(57,37),(57,49)],58)
[1,0,1,1,1,0,1,0,0,0,1,0] => 101110100010 => ([(0,5),(0,6),(1,4),(1,53),(1,55),(2,3),(2,52),(2,54),(3,37),(3,50),(4,38),(4,51),(5,2),(5,58),(5,59),(6,1),(6,58),(6,59),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,17),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,46),(29,31),(29,47),(30,25),(30,44),(31,25),(31,45),(32,28),(32,48),(33,29),(33,49),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,32),(37,42),(38,33),(38,43),(39,26),(39,32),(40,27),(40,33),(41,26),(41,27),(42,16),(42,48),(43,17),(43,49),(44,18),(44,34),(45,19),(45,35),(46,14),(46,44),(47,15),(47,45),(48,12),(48,46),(49,13),(49,47),(50,20),(50,42),(51,21),(51,43),(52,37),(52,39),(53,38),(53,40),(54,8),(54,50),(55,9),(55,51),(56,8),(56,39),(56,41),(57,9),(57,40),(57,41),(58,52),(58,53),(58,56),(58,57),(59,54),(59,55),(59,56),(59,57)],60)
[1,0,1,1,1,0,1,0,0,1,0,0] => 101110100100 => ([(0,4),(0,5),(1,49),(1,52),(2,3),(2,50),(2,51),(3,34),(3,48),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,11),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,30),(22,31),(23,24),(23,25),(24,26),(24,27),(25,26),(25,45),(26,22),(26,42),(27,22),(27,43),(28,25),(28,44),(29,27),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,36),(33,40),(34,28),(34,41),(35,24),(35,29),(36,29),(36,47),(37,23),(37,28),(38,7),(38,40),(39,23),(39,35),(40,19),(40,47),(41,13),(41,44),(42,18),(42,30),(43,17),(43,31),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,16),(47,46),(48,11),(48,41),(49,33),(49,38),(50,8),(50,48),(51,34),(51,37),(52,33),(52,55),(53,8),(53,37),(53,39),(54,38),(54,39),(54,55),(55,7),(55,35),(55,36),(56,49),(56,50),(56,53),(56,54),(57,51),(57,52),(57,53),(57,54)],58)
[1,0,1,1,1,0,1,0,1,0,0,0] => 101110101000 => ([(0,5),(0,6),(1,2),(1,50),(2,9),(3,4),(3,51),(3,52),(4,35),(4,47),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,21),(9,13),(10,22),(11,23),(12,15),(13,12),(14,16),(15,17),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,31),(24,32),(25,27),(25,28),(26,27),(26,44),(27,24),(27,42),(28,24),(28,43),(29,26),(29,46),(30,28),(30,45),(31,10),(31,33),(32,11),(32,33),(33,22),(33,23),(34,29),(34,36),(35,29),(35,40),(36,25),(36,26),(37,30),(37,41),(38,25),(38,30),(39,37),(39,38),(40,18),(40,46),(41,15),(41,45),(42,19),(42,31),(43,20),(43,32),(44,16),(44,42),(45,17),(45,43),(46,14),(46,44),(47,21),(47,40),(48,12),(48,41),(49,13),(49,48),(50,9),(50,49),(51,34),(51,35),(52,8),(52,47),(53,52),(53,54),(53,57),(54,39),(54,49),(54,55),(55,36),(55,37),(55,38),(55,48),(56,50),(56,51),(56,54),(56,57),(57,8),(57,34),(57,39),(57,55)],58)
[1,0,1,1,1,0,1,1,0,0,0,0] => 101110110000 => ([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,30),(24,45),(25,26),(25,27),(26,23),(26,47),(27,23),(27,48),(28,29),(28,49),(29,26),(29,50),(30,27),(30,51),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,10),(35,46),(36,44),(36,55),(37,24),(37,34),(38,28),(38,41),(39,24),(39,42),(40,28),(40,46),(41,25),(41,29),(42,25),(42,30),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,49),(47,17),(47,31),(48,18),(48,32),(49,13),(49,50),(50,14),(50,47),(51,15),(51,48),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
>>> Load all 196 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => 101111000010 => ([(0,7),(0,8),(1,6),(1,41),(1,49),(2,5),(2,40),(2,48),(3,52),(3,54),(4,53),(4,55),(5,3),(5,50),(5,56),(6,4),(6,51),(6,57),(7,2),(7,58),(7,59),(8,1),(8,58),(8,59),(10,24),(11,25),(12,26),(13,27),(14,18),(15,19),(16,20),(17,21),(18,16),(19,17),(20,22),(21,23),(22,12),(23,13),(24,14),(25,15),(26,9),(27,9),(28,30),(28,44),(29,30),(29,45),(30,33),(30,34),(31,28),(31,29),(32,36),(32,37),(33,12),(33,35),(34,13),(34,35),(35,26),(35,27),(36,31),(36,38),(37,31),(37,39),(38,28),(38,42),(39,29),(39,43),(40,32),(40,50),(41,32),(41,51),(42,20),(42,44),(43,21),(43,45),(44,22),(44,33),(45,23),(45,34),(46,16),(46,42),(47,17),(47,43),(48,24),(48,56),(49,25),(49,57),(50,36),(50,52),(51,37),(51,53),(52,38),(52,46),(53,39),(53,47),(54,18),(54,46),(55,19),(55,47),(56,14),(56,54),(57,15),(57,55),(58,10),(58,11),(58,48),(58,49),(59,10),(59,11),(59,40),(59,41)],60)
[1,0,1,1,1,1,0,0,0,1,0,0] => 101111000100 => ([(0,6),(0,7),(1,5),(1,38),(1,50),(2,4),(2,40),(2,57),(3,53),(3,55),(4,51),(4,54),(5,3),(5,52),(5,56),(6,2),(6,58),(6,59),(7,1),(7,58),(7,59),(9,23),(10,20),(11,24),(12,25),(13,17),(14,16),(15,19),(16,15),(17,18),(18,21),(19,22),(20,13),(21,11),(22,12),(23,14),(24,8),(25,8),(26,28),(26,45),(27,28),(27,30),(28,29),(28,46),(29,32),(29,33),(30,29),(30,47),(31,26),(31,27),(32,11),(32,34),(33,12),(33,34),(34,24),(34,25),(35,27),(35,36),(36,30),(36,43),(37,26),(37,42),(38,41),(38,52),(39,10),(39,44),(40,44),(40,51),(41,31),(41,35),(42,17),(42,45),(43,19),(43,47),(44,20),(44,49),(45,18),(45,46),(46,21),(46,32),(47,22),(47,33),(48,15),(48,43),(49,13),(49,42),(50,23),(50,56),(51,37),(51,49),(52,35),(52,53),(53,36),(53,48),(54,31),(54,37),(55,16),(55,48),(56,14),(56,55),(57,10),(57,41),(57,54),(58,9),(58,39),(58,40),(58,50),(59,9),(59,38),(59,39),(59,57)],60)
[1,0,1,1,1,1,0,0,1,0,0,0] => 101111001000 => ([(0,6),(0,7),(1,25),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,5),(4,43),(4,53),(5,35),(5,46),(6,2),(6,57),(6,58),(7,3),(7,57),(7,58),(9,22),(10,14),(11,23),(12,24),(13,16),(14,13),(15,17),(16,15),(17,21),(18,20),(19,18),(20,11),(21,12),(22,19),(23,8),(24,8),(25,9),(26,32),(26,33),(27,36),(27,37),(28,26),(28,30),(29,26),(29,31),(30,32),(30,50),(31,33),(31,51),(32,27),(32,47),(33,27),(33,48),(34,30),(34,52),(35,31),(35,49),(36,11),(36,38),(37,12),(37,38),(38,23),(38,24),(39,9),(39,45),(40,34),(40,45),(41,28),(41,29),(42,28),(42,34),(43,29),(43,35),(44,39),(44,40),(45,22),(45,52),(46,16),(46,49),(47,20),(47,36),(48,21),(48,37),(49,15),(49,51),(50,18),(50,47),(51,17),(51,48),(52,19),(52,50),(53,13),(53,46),(54,41),(54,43),(55,40),(55,42),(56,14),(56,53),(57,10),(57,44),(57,55),(57,56),(58,10),(58,44),(58,54),(58,59),(59,25),(59,39),(59,41),(59,42)],60)
[1,0,1,1,1,1,0,1,0,0,0,0] => 101111010000 => ([(0,7),(0,8),(1,3),(1,39),(2,24),(3,2),(3,51),(4,6),(4,40),(4,43),(5,53),(5,54),(6,5),(6,52),(6,55),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,15),(12,22),(13,23),(14,17),(15,16),(16,14),(17,20),(18,19),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,31),(25,32),(26,33),(26,34),(27,28),(27,36),(28,30),(28,45),(29,25),(29,30),(30,31),(30,49),(31,26),(31,48),(32,26),(32,47),(33,13),(33,35),(34,12),(34,35),(35,22),(35,23),(36,10),(36,45),(37,32),(37,46),(38,25),(38,37),(39,27),(39,51),(40,41),(40,52),(41,29),(41,38),(42,28),(42,29),(43,11),(43,55),(44,27),(44,42),(45,21),(45,49),(46,17),(46,47),(47,20),(47,33),(48,19),(48,34),(49,18),(49,48),(50,14),(50,46),(51,24),(51,36),(52,38),(52,53),(53,37),(53,50),(54,16),(54,50),(55,15),(55,54),(56,43),(56,44),(56,57),(57,11),(57,41),(57,42),(58,39),(58,40),(58,44),(58,57)],59)
[1,0,1,1,1,1,1,0,0,0,0,0] => 101111100000 => ([(0,9),(0,10),(1,4),(1,40),(2,26),(3,2),(3,48),(4,3),(4,47),(5,8),(5,41),(5,46),(6,50),(6,54),(7,6),(7,51),(7,53),(8,7),(8,49),(8,52),(9,1),(9,39),(9,55),(10,5),(10,39),(10,55),(12,23),(13,18),(14,24),(15,25),(16,17),(17,21),(18,19),(19,20),(20,16),(21,15),(22,14),(23,22),(24,11),(25,11),(26,12),(27,31),(27,32),(28,27),(28,44),(29,35),(29,36),(30,28),(30,42),(31,15),(31,34),(32,14),(32,34),(33,12),(33,42),(34,24),(34,25),(35,30),(35,33),(36,30),(36,37),(37,28),(37,38),(38,27),(38,43),(39,13),(39,46),(40,29),(40,47),(41,29),(41,49),(42,23),(42,44),(43,21),(43,31),(44,22),(44,32),(45,17),(45,43),(46,18),(46,52),(47,35),(47,48),(48,26),(48,33),(49,36),(49,51),(50,38),(50,45),(51,37),(51,50),(52,19),(52,53),(53,20),(53,54),(54,16),(54,45),(55,13),(55,40),(55,41)],56)
[1,1,0,0,1,0,1,0,1,0,1,0] => 110010101010 => ([(0,3),(0,4),(1,18),(2,22),(2,23),(3,2),(3,45),(3,46),(4,1),(4,45),(4,46),(6,15),(7,13),(8,16),(9,17),(10,11),(11,14),(12,10),(13,9),(14,8),(15,12),(16,5),(17,5),(18,6),(19,9),(19,21),(20,8),(20,21),(21,16),(21,17),(22,30),(22,34),(23,6),(23,34),(24,33),(24,44),(25,19),(25,20),(26,7),(26,39),(27,29),(27,37),(28,27),(28,36),(29,25),(29,35),(30,28),(30,38),(31,32),(31,43),(32,26),(32,41),(33,31),(33,42),(34,15),(34,38),(35,14),(35,20),(36,10),(36,37),(37,11),(37,35),(38,12),(38,36),(39,13),(39,19),(40,30),(40,33),(40,44),(41,7),(41,25),(41,39),(42,27),(42,32),(42,43),(43,26),(43,29),(43,41),(44,28),(44,31),(44,42),(45,22),(45,24),(45,40),(46,18),(46,23),(46,24),(46,40)],47)
[1,1,0,0,1,0,1,0,1,1,0,0] => 110010101100 => ([(0,3),(0,4),(1,48),(1,50),(2,47),(2,49),(3,2),(3,53),(3,54),(4,1),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,14),(11,15),(12,10),(13,11),(14,8),(15,9),(16,12),(17,13),(18,5),(19,5),(20,26),(20,27),(21,30),(21,31),(22,20),(22,24),(23,20),(23,25),(24,26),(24,43),(25,27),(25,44),(26,21),(26,41),(27,21),(27,42),(28,24),(28,45),(29,25),(29,46),(30,8),(30,32),(31,9),(31,32),(32,18),(32,19),(33,6),(33,39),(34,7),(34,40),(35,6),(35,7),(36,28),(36,39),(37,29),(37,40),(38,22),(38,23),(39,16),(39,45),(40,17),(40,46),(41,14),(41,30),(42,15),(42,31),(43,10),(43,41),(44,11),(44,42),(45,12),(45,43),(46,13),(46,44),(47,33),(47,35),(48,34),(48,35),(49,33),(49,36),(50,34),(50,37),(51,36),(51,38),(51,55),(52,37),(52,38),(52,55),(53,47),(53,48),(53,51),(53,52),(54,49),(54,50),(54,51),(54,52),(55,22),(55,23),(55,28),(55,29)],56)
[1,1,0,0,1,0,1,1,0,0,1,0] => 110010110010 => ([(0,3),(0,4),(1,46),(1,48),(2,47),(2,49),(3,1),(3,50),(3,51),(4,2),(4,50),(4,51),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,19),(17,44),(18,19),(18,45),(19,29),(19,30),(20,27),(20,32),(21,32),(21,33),(22,16),(22,28),(23,28),(23,31),(24,16),(24,27),(25,31),(25,33),(26,22),(26,23),(27,17),(27,42),(28,18),(28,43),(29,8),(29,34),(30,9),(30,34),(31,6),(31,43),(32,7),(32,42),(33,6),(33,7),(34,14),(34,15),(35,23),(35,25),(36,22),(36,24),(37,20),(37,21),(38,21),(38,25),(39,20),(39,24),(40,26),(40,35),(41,26),(41,36),(42,12),(42,44),(43,13),(43,45),(44,10),(44,29),(45,11),(45,30),(46,37),(46,38),(47,37),(47,39),(48,35),(48,38),(49,36),(49,39),(50,40),(50,41),(50,46),(50,47),(51,40),(51,41),(51,48),(51,49)],52)
[1,1,0,0,1,0,1,1,0,1,0,0] => 110010110100 => ([(0,3),(0,4),(1,51),(1,52),(2,50),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,25),(36,30),(36,41),(37,24),(37,30),(38,25),(38,31),(39,31),(39,40),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,10),(49,41),(50,36),(50,49),(51,35),(51,38),(52,7),(52,38),(52,39),(53,6),(53,7),(53,49),(54,50),(54,51),(54,55),(54,56),(55,35),(55,37),(55,39),(55,48),(56,6),(56,36),(56,37),(56,48),(57,52),(57,53),(57,55),(57,56)],58)
[1,1,0,0,1,0,1,1,1,0,0,0] => 110010111000 => ([(0,5),(0,6),(1,22),(2,4),(2,52),(2,54),(3,1),(3,53),(3,56),(4,40),(4,41),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,19),(9,12),(10,20),(11,21),(12,13),(13,14),(14,17),(15,18),(16,15),(17,10),(18,11),(19,16),(20,7),(21,7),(22,9),(23,31),(23,32),(24,34),(24,35),(25,23),(25,29),(26,23),(26,30),(27,30),(27,45),(28,25),(28,33),(29,31),(29,48),(30,32),(30,49),(31,24),(31,46),(32,24),(32,47),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,20),(36,21),(37,25),(37,26),(38,33),(38,44),(39,8),(39,44),(40,27),(40,51),(41,26),(41,27),(42,28),(42,37),(43,28),(43,38),(44,19),(44,50),(45,13),(45,49),(46,18),(46,34),(47,17),(47,35),(48,15),(48,46),(49,14),(49,47),(50,16),(50,48),(51,12),(51,45),(52,37),(52,41),(53,38),(53,39),(54,40),(54,55),(55,8),(55,9),(55,51),(56,22),(56,39),(56,55),(57,42),(57,43),(57,54),(57,56),(58,42),(58,43),(58,52),(58,53)],59)
[1,1,0,0,1,1,0,0,1,0,1,0] => 110011001010 => ([(0,3),(0,4),(1,48),(1,52),(2,46),(2,47),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,11),(11,14),(12,15),(13,10),(14,8),(15,9),(16,13),(17,12),(18,5),(19,5),(20,26),(20,27),(21,23),(21,38),(22,23),(22,33),(23,24),(23,43),(24,20),(24,40),(25,20),(25,41),(26,9),(26,28),(27,8),(27,28),(28,18),(28,19),(29,22),(29,51),(30,21),(30,36),(31,21),(31,22),(32,6),(32,45),(33,24),(33,25),(34,35),(34,44),(35,25),(35,42),(36,7),(36,38),(37,34),(37,39),(38,17),(38,43),(39,13),(39,44),(40,15),(40,26),(41,14),(41,27),(42,11),(42,41),(43,12),(43,40),(44,10),(44,42),(45,16),(45,39),(46,30),(46,31),(47,29),(47,31),(48,29),(48,49),(49,34),(49,36),(49,51),(50,6),(50,37),(50,45),(51,7),(51,33),(51,35),(52,30),(52,37),(52,49),(53,32),(53,47),(53,48),(53,50),(54,32),(54,46),(54,50),(54,52)],55)
[1,1,0,0,1,1,0,0,1,1,0,0] => 110011001100 => ([(0,3),(0,4),(1,38),(1,40),(2,37),(2,39),(3,2),(3,32),(3,33),(4,1),(4,32),(4,33),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,23),(12,24),(13,21),(13,23),(14,22),(14,24),(15,21),(15,22),(16,25),(16,26),(17,13),(17,15),(18,14),(18,15),(19,12),(19,13),(20,12),(20,14),(21,16),(21,34),(22,16),(22,35),(23,34),(23,36),(24,35),(24,36),(25,8),(25,27),(26,9),(26,27),(27,10),(27,11),(28,17),(28,18),(29,17),(29,19),(30,18),(30,20),(31,19),(31,20),(32,37),(32,38),(33,39),(33,40),(34,6),(34,25),(35,7),(35,26),(36,6),(36,7),(37,29),(37,31),(38,30),(38,31),(39,28),(39,29),(40,28),(40,30)],41)
[1,1,0,0,1,1,0,1,0,0,1,0] => 110011010010 => ([(0,3),(0,4),(1,49),(1,51),(2,52),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,47),(27,29),(27,46),(28,23),(28,44),(29,23),(29,43),(30,27),(30,45),(31,26),(31,48),(32,9),(32,34),(33,8),(33,34),(34,20),(34,21),(35,24),(35,30),(36,35),(36,37),(37,24),(37,25),(38,30),(38,42),(39,25),(39,31),(40,31),(40,41),(41,13),(41,48),(42,16),(42,45),(43,18),(43,32),(44,17),(44,33),(45,12),(45,46),(46,15),(46,43),(47,14),(47,44),(48,11),(48,47),(49,39),(49,40),(50,6),(50,35),(50,38),(51,7),(51,37),(51,39),(52,7),(52,38),(52,56),(53,6),(53,40),(53,56),(54,36),(54,49),(54,50),(54,53),(55,36),(55,50),(55,51),(55,52),(56,10),(56,19),(56,41),(56,42)],57)
[1,1,0,0,1,1,0,1,0,1,0,0] => 110011010100 => ([(0,3),(0,4),(1,49),(1,52),(2,48),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,44),(28,23),(28,42),(29,23),(29,41),(30,26),(30,46),(31,27),(31,43),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,39),(37,24),(37,25),(38,31),(38,40),(39,16),(39,46),(40,13),(40,43),(41,17),(41,32),(42,18),(42,33),(43,11),(43,44),(44,14),(44,41),(45,15),(45,42),(46,12),(46,45),(47,19),(47,39),(48,36),(48,47),(49,35),(49,36),(50,37),(50,38),(50,56),(51,7),(51,38),(51,56),(52,6),(52,35),(52,37),(53,6),(53,7),(53,47),(54,50),(54,51),(54,52),(54,53),(55,48),(55,49),(55,50),(55,51),(56,10),(56,25),(56,31),(56,40)],57)
[1,1,0,0,1,1,0,1,1,0,0,0] => 110011011000 => ([(0,4),(0,5),(1,21),(2,52),(2,54),(3,1),(3,48),(3,53),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,18),(8,11),(9,19),(10,20),(11,12),(12,13),(13,16),(14,17),(15,14),(16,9),(17,10),(18,15),(19,6),(20,6),(21,8),(22,24),(22,29),(23,31),(23,32),(24,27),(24,28),(25,22),(25,37),(26,22),(26,36),(27,23),(27,42),(28,23),(28,43),(29,28),(29,45),(30,27),(30,44),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,38),(34,40),(35,7),(35,40),(36,29),(36,41),(37,24),(37,30),(38,30),(38,46),(39,25),(39,26),(40,18),(40,46),(41,12),(41,45),(42,17),(42,31),(43,16),(43,32),(44,14),(44,42),(45,13),(45,43),(46,15),(46,44),(47,11),(47,41),(48,34),(48,35),(49,7),(49,8),(49,47),(50,39),(50,53),(50,54),(51,39),(51,48),(51,52),(52,26),(52,34),(52,55),(53,21),(53,35),(53,49),(54,25),(54,49),(54,55),(55,36),(55,37),(55,38),(55,47)],56)
[1,1,0,0,1,1,1,0,0,0,1,0] => 110011100010 => ([(0,5),(0,6),(1,3),(1,51),(1,52),(2,4),(2,56),(2,57),(3,35),(3,37),(4,36),(4,50),(5,1),(5,54),(5,55),(6,2),(6,54),(6,55),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,47),(28,24),(28,44),(29,24),(29,45),(30,27),(30,46),(31,29),(31,48),(32,10),(32,34),(33,11),(33,34),(34,22),(34,23),(35,25),(35,40),(36,41),(36,42),(37,25),(37,30),(38,8),(38,43),(39,30),(39,43),(40,26),(40,31),(41,31),(41,49),(42,14),(42,49),(43,20),(43,46),(44,18),(44,32),(45,19),(45,33),(46,17),(46,47),(47,16),(47,44),(48,15),(48,45),(49,13),(49,48),(50,12),(50,42),(51,37),(51,39),(52,35),(52,53),(53,8),(53,40),(53,41),(54,9),(54,52),(54,56),(55,9),(55,51),(55,57),(56,36),(56,38),(56,53),(57,21),(57,38),(57,39),(57,50)],58)
[1,1,0,0,1,1,1,0,0,1,0,0] => 110011100100 => ([(0,4),(0,5),(1,53),(1,54),(2,3),(2,47),(2,48),(3,34),(3,35),(4,1),(4,50),(4,51),(5,2),(5,50),(5,51),(7,18),(8,15),(9,19),(10,20),(11,14),(12,11),(13,16),(14,17),(15,13),(16,9),(17,10),(18,12),(19,6),(20,6),(21,27),(21,28),(22,29),(22,30),(23,26),(23,39),(24,21),(24,26),(25,21),(25,36),(26,27),(26,43),(27,22),(27,42),(28,22),(28,41),(29,10),(29,31),(30,9),(30,31),(31,19),(31,20),(32,23),(32,37),(33,25),(33,52),(34,23),(34,24),(35,24),(35,25),(36,28),(36,40),(37,8),(37,39),(38,7),(38,44),(39,15),(39,43),(40,14),(40,41),(41,17),(41,29),(42,16),(42,30),(43,13),(43,42),(44,18),(44,45),(45,12),(45,46),(46,11),(46,40),(47,33),(47,35),(48,32),(48,34),(49,37),(49,45),(49,52),(50,38),(50,48),(50,53),(51,38),(51,47),(51,54),(52,8),(52,36),(52,46),(53,32),(53,44),(53,49),(54,7),(54,33),(54,49)],55)
[1,1,0,0,1,1,1,0,1,0,0,0] => 110011101000 => ([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,34),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,50),(31,25),(31,48),(32,25),(32,47),(33,29),(33,49),(34,30),(34,52),(35,10),(35,37),(36,11),(36,37),(37,21),(37,22),(38,8),(38,45),(39,33),(39,46),(40,26),(40,33),(41,27),(41,38),(42,27),(42,43),(43,28),(43,34),(44,26),(44,28),(45,20),(45,52),(46,14),(46,49),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,39),(54,40),(55,39),(55,53),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,9),(59,23),(59,38),(59,53)],60)
[1,1,0,0,1,1,1,1,0,0,0,0] => 110011110000 => ([(0,7),(0,8),(1,23),(2,1),(2,40),(3,5),(3,52),(3,54),(4,2),(4,53),(4,56),(5,6),(5,38),(5,39),(6,26),(6,27),(7,3),(7,41),(7,42),(8,4),(8,41),(8,42),(10,20),(11,17),(12,21),(13,22),(14,15),(15,18),(16,19),(17,14),(18,12),(19,13),(20,16),(21,9),(22,9),(23,10),(24,29),(24,30),(25,33),(25,34),(26,24),(26,28),(27,24),(27,32),(28,29),(28,49),(29,25),(29,47),(30,25),(30,48),(31,28),(31,51),(32,30),(32,50),(33,12),(33,35),(34,13),(34,35),(35,21),(35,22),(36,11),(36,45),(37,31),(37,45),(38,27),(38,43),(39,26),(39,31),(40,23),(40,44),(41,54),(41,56),(42,52),(42,53),(43,32),(43,46),(44,10),(44,46),(45,17),(45,51),(46,20),(46,50),(47,18),(47,33),(48,19),(48,34),(49,15),(49,47),(50,16),(50,48),(51,14),(51,49),(52,37),(52,39),(53,36),(53,37),(54,38),(54,55),(55,11),(55,43),(55,44),(56,36),(56,40),(56,55)],57)
[1,1,0,1,0,0,1,0,1,0,1,0] => 110100101010 => ([(0,3),(0,4),(1,20),(2,32),(2,33),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,24),(21,25),(22,29),(22,30),(23,21),(23,27),(24,26),(24,28),(25,26),(25,44),(26,22),(26,41),(27,25),(27,43),(28,22),(28,42),(29,8),(29,31),(30,9),(30,31),(31,18),(31,19),(32,23),(32,34),(33,23),(33,35),(34,27),(34,40),(35,21),(35,36),(36,24),(36,37),(37,28),(37,39),(38,6),(38,45),(39,14),(39,42),(40,12),(40,43),(41,15),(41,29),(42,16),(42,30),(43,11),(43,44),(44,13),(44,41),(45,17),(45,39),(46,7),(46,48),(46,51),(47,6),(47,37),(47,45),(48,36),(48,38),(48,47),(49,33),(49,46),(49,50),(50,34),(50,35),(50,48),(50,51),(51,10),(51,38),(51,40),(51,47),(52,20),(52,32),(52,46),(52,50)],53)
[1,1,0,1,0,0,1,0,1,1,0,0] => 110100101100 => ([(0,3),(0,4),(1,51),(1,52),(2,50),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,25),(36,30),(36,41),(37,24),(37,30),(38,25),(38,31),(39,31),(39,40),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,10),(49,41),(50,36),(50,49),(51,35),(51,38),(52,7),(52,38),(52,39),(53,6),(53,7),(53,49),(54,50),(54,51),(54,55),(54,56),(55,35),(55,37),(55,39),(55,48),(56,6),(56,36),(56,37),(56,48),(57,52),(57,53),(57,55),(57,56)],58)
[1,1,0,1,0,0,1,1,0,0,1,0] => 110100110010 => ([(0,3),(0,4),(1,49),(1,52),(2,51),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,6),(35,48),(36,31),(36,40),(37,24),(37,30),(38,24),(38,25),(39,30),(39,41),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,37),(49,38),(50,7),(50,36),(50,48),(51,36),(51,39),(51,56),(52,6),(52,37),(52,39),(53,7),(53,38),(53,56),(54,35),(54,49),(54,50),(54,53),(55,35),(55,50),(55,51),(55,52),(56,10),(56,25),(56,31),(56,41)],57)
[1,1,0,1,0,0,1,1,0,1,0,0] => 110100110100 => ([(0,3),(0,4),(1,47),(1,49),(2,46),(2,48),(3,2),(3,50),(3,51),(4,1),(4,50),(4,51),(6,12),(7,13),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,19),(17,44),(18,19),(18,45),(19,29),(19,30),(20,16),(20,27),(21,16),(21,28),(22,31),(22,33),(23,32),(23,33),(24,27),(24,31),(25,28),(25,32),(26,22),(26,23),(27,17),(27,42),(28,18),(28,43),(29,8),(29,34),(30,9),(30,34),(31,6),(31,42),(32,7),(32,43),(33,6),(33,7),(34,14),(34,15),(35,22),(35,24),(36,23),(36,25),(37,20),(37,21),(38,20),(38,24),(39,21),(39,25),(40,26),(40,35),(41,26),(41,36),(42,12),(42,44),(43,13),(43,45),(44,10),(44,29),(45,11),(45,30),(46,37),(46,38),(47,37),(47,39),(48,35),(48,38),(49,36),(49,39),(50,40),(50,41),(50,46),(50,47),(51,40),(51,41),(51,48),(51,49)],52)
[1,1,0,1,0,0,1,1,1,0,0,0] => 110100111000 => ([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,17),(10,21),(11,22),(12,14),(13,12),(14,19),(15,18),(16,15),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,52),(29,31),(29,51),(30,25),(30,47),(31,25),(31,48),(32,28),(32,49),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,21),(36,22),(37,32),(37,53),(38,26),(38,32),(39,26),(39,27),(40,27),(40,33),(41,37),(41,45),(42,9),(42,45),(43,8),(43,46),(44,33),(44,46),(45,17),(45,53),(46,20),(46,50),(47,19),(47,34),(48,18),(48,35),(49,12),(49,52),(50,16),(50,51),(51,15),(51,48),(52,14),(52,47),(53,13),(53,49),(54,39),(54,40),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,38),(59,43)],60)
[1,1,0,1,0,1,0,0,1,0,1,0] => 110101001010 => ([(0,3),(0,4),(1,20),(2,33),(2,34),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,12),(8,18),(9,19),(10,11),(11,13),(12,10),(13,16),(14,15),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,25),(24,21),(24,27),(25,27),(25,39),(26,21),(26,37),(27,28),(27,43),(28,22),(28,42),(29,22),(29,41),(30,9),(30,32),(31,8),(31,32),(32,18),(32,19),(33,23),(33,36),(34,23),(34,35),(35,25),(35,38),(36,24),(36,26),(37,29),(37,40),(38,6),(38,39),(39,17),(39,43),(40,13),(40,41),(41,16),(41,30),(42,15),(42,31),(43,14),(43,42),(44,11),(44,40),(45,10),(45,44),(46,7),(46,48),(46,51),(47,6),(47,37),(47,44),(48,38),(48,45),(48,47),(49,34),(49,46),(49,50),(50,35),(50,36),(50,48),(50,51),(51,12),(51,26),(51,45),(51,47),(52,20),(52,33),(52,46),(52,50)],53)
[1,1,0,1,0,1,0,0,1,1,0,0] => 110101001100 => ([(0,3),(0,4),(1,49),(1,52),(2,48),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,44),(28,23),(28,42),(29,23),(29,41),(30,26),(30,46),(31,27),(31,43),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,39),(37,24),(37,25),(38,31),(38,40),(39,16),(39,46),(40,13),(40,43),(41,17),(41,32),(42,18),(42,33),(43,11),(43,44),(44,14),(44,41),(45,15),(45,42),(46,12),(46,45),(47,19),(47,39),(48,36),(48,47),(49,35),(49,36),(50,37),(50,38),(50,56),(51,7),(51,38),(51,56),(52,6),(52,35),(52,37),(53,6),(53,7),(53,47),(54,50),(54,51),(54,52),(54,53),(55,48),(55,49),(55,50),(55,51),(56,10),(56,25),(56,31),(56,40)],57)
[1,1,0,1,0,1,0,1,0,0,1,0] => 110101010010 => ([(0,3),(0,4),(1,22),(2,29),(2,30),(3,2),(3,46),(3,50),(4,1),(4,46),(4,50),(6,18),(7,11),(8,20),(9,21),(10,17),(11,12),(12,19),(13,14),(14,16),(15,13),(16,8),(17,9),(18,15),(19,10),(20,5),(21,5),(22,7),(23,26),(23,27),(24,34),(24,41),(25,24),(25,39),(26,8),(26,28),(27,9),(27,28),(28,20),(28,21),(29,25),(29,37),(30,6),(30,37),(31,23),(31,36),(32,23),(32,38),(33,31),(33,42),(34,32),(34,40),(35,44),(35,45),(36,17),(36,27),(37,18),(37,39),(38,16),(38,26),(39,15),(39,41),(40,14),(40,38),(41,13),(41,40),(42,10),(42,36),(43,7),(43,35),(43,49),(44,33),(44,34),(44,48),(45,12),(45,33),(45,48),(46,30),(46,43),(46,47),(47,6),(47,25),(47,35),(47,49),(48,19),(48,31),(48,32),(48,42),(49,11),(49,24),(49,44),(49,45),(50,22),(50,29),(50,43),(50,47)],51)
[1,1,0,1,0,1,0,1,0,1,0,0] => 110101010100 => ([(0,3),(0,4),(1,23),(2,22),(3,2),(3,30),(3,40),(4,1),(4,30),(4,40),(6,14),(7,15),(8,16),(9,17),(10,6),(11,7),(12,18),(13,19),(14,8),(15,9),(16,12),(17,13),(18,20),(19,21),(20,5),(21,5),(22,10),(23,11),(24,33),(24,34),(25,27),(25,28),(26,35),(26,36),(27,18),(27,29),(28,19),(28,29),(29,20),(29,21),(30,31),(30,32),(31,10),(31,24),(31,37),(32,11),(32,24),(32,37),(33,14),(33,26),(33,39),(34,15),(34,26),(34,39),(35,16),(35,25),(35,38),(36,17),(36,25),(36,38),(37,6),(37,7),(37,33),(37,34),(38,12),(38,13),(38,27),(38,28),(39,8),(39,9),(39,35),(39,36),(40,22),(40,23),(40,31),(40,32)],41)
[1,1,0,1,0,1,0,1,1,0,0,0] => 110101011000 => ([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,12),(9,20),(10,21),(11,13),(12,11),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,30),(23,31),(24,25),(24,26),(25,23),(25,43),(26,23),(26,44),(27,25),(27,45),(28,27),(28,47),(29,26),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,22),(33,40),(34,35),(34,37),(35,28),(35,38),(36,49),(36,50),(37,28),(37,41),(38,24),(38,27),(39,29),(39,42),(40,7),(40,41),(41,19),(41,47),(42,13),(42,46),(43,18),(43,30),(44,17),(44,31),(45,15),(45,43),(46,14),(46,44),(47,16),(47,45),(48,8),(48,37),(48,40),(49,38),(49,39),(49,53),(50,12),(50,39),(50,53),(51,34),(51,36),(51,52),(52,8),(52,35),(52,49),(52,50),(53,11),(53,24),(53,29),(53,42),(54,33),(54,36),(54,48),(54,52)],55)
[1,1,0,1,0,1,1,0,0,0,1,0] => 110101100010 => ([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,39),(3,49),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,28),(26,23),(26,27),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,10),(33,35),(34,9),(34,35),(35,21),(35,22),(36,25),(36,32),(37,25),(37,26),(38,26),(38,31),(39,31),(39,41),(40,32),(40,42),(41,14),(41,48),(42,17),(42,45),(43,19),(43,33),(44,18),(44,34),(45,13),(45,46),(46,16),(46,43),(47,15),(47,44),(48,12),(48,47),(49,11),(49,41),(50,20),(50,42),(51,36),(51,37),(52,38),(52,39),(53,8),(53,49),(54,8),(54,40),(54,50),(55,7),(55,37),(55,38),(56,7),(56,36),(56,40),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
[1,1,0,1,0,1,1,0,0,1,0,0] => 110101100100 => ([(0,3),(0,4),(1,50),(1,52),(2,51),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,18),(8,20),(9,21),(10,13),(11,14),(12,10),(13,16),(14,17),(15,11),(16,8),(17,9),(18,15),(19,12),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,27),(30,47),(31,26),(31,44),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,40),(37,31),(37,41),(38,24),(38,25),(39,25),(39,31),(40,15),(40,47),(41,12),(41,44),(42,16),(42,32),(43,17),(43,33),(44,10),(44,45),(45,13),(45,42),(46,14),(46,43),(47,11),(47,46),(48,19),(48,41),(49,18),(49,40),(50,37),(50,48),(51,35),(51,38),(52,6),(52,37),(52,39),(53,7),(53,38),(53,39),(54,50),(54,51),(54,55),(54,56),(55,6),(55,36),(55,48),(55,49),(56,7),(56,35),(56,36),(56,49),(57,52),(57,53),(57,55),(57,56)],58)
[1,1,0,1,0,1,1,0,1,0,0,0] => 110101101000 => ([(0,4),(0,5),(1,20),(2,1),(2,33),(3,34),(3,35),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,26),(24,21),(24,27),(25,27),(25,42),(26,21),(26,38),(27,28),(27,46),(28,22),(28,45),(29,22),(29,44),(30,10),(30,32),(31,9),(31,32),(32,18),(32,19),(33,20),(33,40),(34,23),(34,37),(35,23),(35,36),(36,24),(36,25),(37,26),(37,50),(38,29),(38,43),(39,8),(39,42),(40,7),(40,47),(41,25),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,30),(45,15),(45,31),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,35),(52,49),(52,53),(53,36),(53,37),(53,41),(53,51),(54,33),(54,34),(54,49),(54,53)],55)
[1,1,0,1,0,1,1,1,0,0,0,0] => 110101110000 => ([(0,6),(0,7),(1,3),(1,43),(2,23),(3,2),(3,53),(4,5),(4,54),(4,56),(5,41),(5,42),(6,1),(6,55),(6,57),(7,4),(7,55),(7,57),(9,20),(10,17),(11,21),(12,22),(13,15),(14,13),(15,18),(16,19),(17,14),(18,11),(19,12),(20,16),(21,8),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,30),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,52),(31,25),(31,47),(32,25),(32,48),(33,29),(33,49),(34,33),(34,50),(35,11),(35,37),(36,12),(36,37),(37,21),(37,22),(38,9),(38,45),(39,27),(39,38),(40,26),(40,33),(41,27),(41,28),(42,26),(42,28),(43,39),(43,53),(44,34),(44,46),(45,20),(45,52),(46,17),(46,50),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,14),(50,49),(51,15),(51,47),(52,16),(52,48),(53,23),(53,38),(54,40),(54,42),(55,44),(55,54),(55,58),(56,10),(56,39),(56,41),(57,43),(57,44),(57,56),(57,58),(58,10),(58,34),(58,40),(58,46)],59)
[1,1,0,1,1,0,0,0,1,0,1,0] => 110110001010 => ([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,38),(3,39),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,27),(26,23),(26,28),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,9),(33,35),(34,10),(34,35),(35,21),(35,22),(36,25),(36,31),(37,31),(37,41),(38,25),(38,26),(39,26),(39,32),(40,32),(40,42),(41,17),(41,48),(42,14),(42,45),(43,18),(43,33),(44,19),(44,34),(45,12),(45,46),(46,15),(46,43),(47,16),(47,44),(48,13),(48,47),(49,20),(49,41),(50,11),(50,42),(51,37),(51,49),(52,36),(52,38),(53,39),(53,40),(54,8),(54,40),(54,50),(55,7),(55,36),(55,37),(56,7),(56,8),(56,49),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
[1,1,0,1,1,0,0,0,1,1,0,0] => 110110001100 => ([(0,4),(0,5),(1,53),(1,54),(2,3),(2,47),(2,48),(3,34),(3,35),(4,1),(4,50),(4,51),(5,2),(5,50),(5,51),(7,18),(8,15),(9,19),(10,20),(11,14),(12,11),(13,16),(14,17),(15,13),(16,9),(17,10),(18,12),(19,6),(20,6),(21,27),(21,28),(22,29),(22,30),(23,26),(23,39),(24,21),(24,26),(25,21),(25,36),(26,27),(26,43),(27,22),(27,42),(28,22),(28,41),(29,10),(29,31),(30,9),(30,31),(31,19),(31,20),(32,23),(32,37),(33,25),(33,52),(34,23),(34,24),(35,24),(35,25),(36,28),(36,40),(37,8),(37,39),(38,7),(38,44),(39,15),(39,43),(40,14),(40,41),(41,17),(41,29),(42,16),(42,30),(43,13),(43,42),(44,18),(44,45),(45,12),(45,46),(46,11),(46,40),(47,33),(47,35),(48,32),(48,34),(49,37),(49,45),(49,52),(50,38),(50,48),(50,53),(51,38),(51,47),(51,54),(52,8),(52,36),(52,46),(53,32),(53,44),(53,49),(54,7),(54,33),(54,49)],55)
[1,1,0,1,1,0,0,1,0,0,1,0] => 110110010010 => ([(0,3),(0,4),(1,48),(1,52),(2,47),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,14),(8,18),(9,19),(10,11),(11,16),(12,15),(13,10),(14,12),(15,8),(16,9),(17,13),(18,5),(19,5),(20,38),(20,39),(21,28),(21,29),(22,20),(22,37),(23,20),(23,50),(24,25),(24,43),(25,27),(25,44),(26,21),(26,42),(27,21),(27,41),(28,8),(28,30),(29,9),(29,30),(30,18),(30,19),(31,24),(31,35),(32,24),(32,40),(33,22),(33,23),(34,6),(34,46),(35,25),(35,36),(36,26),(36,27),(37,7),(37,39),(38,26),(38,45),(39,14),(39,45),(40,13),(40,43),(41,16),(41,29),(42,15),(42,28),(43,10),(43,44),(44,11),(44,41),(45,12),(45,42),(46,17),(46,40),(47,32),(47,46),(48,23),(48,49),(49,35),(49,37),(49,50),(50,7),(50,36),(50,38),(51,6),(51,31),(51,32),(52,22),(52,31),(52,49),(53,33),(53,34),(53,51),(53,52),(54,33),(54,34),(54,47),(54,48)],55)
[1,1,0,1,1,0,0,1,0,1,0,0] => 110110010100 => ([(0,3),(0,4),(1,50),(1,52),(2,51),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,18),(8,20),(9,21),(10,13),(11,14),(12,10),(13,16),(14,17),(15,11),(16,8),(17,9),(18,15),(19,12),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,27),(30,47),(31,26),(31,44),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,40),(37,31),(37,41),(38,24),(38,25),(39,25),(39,31),(40,15),(40,47),(41,12),(41,44),(42,16),(42,32),(43,17),(43,33),(44,10),(44,45),(45,13),(45,42),(46,14),(46,43),(47,11),(47,46),(48,19),(48,41),(49,18),(49,40),(50,37),(50,48),(51,35),(51,38),(52,6),(52,37),(52,39),(53,7),(53,38),(53,39),(54,50),(54,51),(54,55),(54,56),(55,6),(55,36),(55,48),(55,49),(56,7),(56,35),(56,36),(56,49),(57,52),(57,53),(57,55),(57,56)],58)
[1,1,0,1,1,0,0,1,1,0,0,0] => 110110011000 => ([(0,4),(0,5),(1,22),(2,51),(2,53),(3,1),(3,46),(3,52),(4,2),(4,47),(4,48),(5,3),(5,47),(5,48),(7,18),(8,19),(9,20),(10,21),(11,14),(12,15),(13,11),(14,16),(15,17),(16,9),(17,10),(18,13),(19,12),(20,6),(21,6),(22,8),(23,24),(23,40),(24,29),(24,30),(25,27),(25,28),(26,24),(26,41),(27,23),(27,26),(28,23),(28,38),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,25),(32,35),(33,25),(33,36),(34,26),(34,39),(35,28),(35,44),(36,27),(36,34),(37,7),(37,42),(38,15),(38,40),(39,14),(39,41),(40,17),(40,29),(41,16),(41,30),(42,18),(42,45),(43,11),(43,39),(44,12),(44,38),(45,13),(45,43),(46,32),(46,33),(47,37),(47,52),(47,53),(48,37),(48,46),(48,51),(49,35),(49,45),(49,54),(50,8),(50,36),(50,54),(51,32),(51,42),(51,49),(52,22),(52,33),(52,50),(53,7),(53,49),(53,50),(54,19),(54,34),(54,43),(54,44)],55)
[1,1,0,1,1,0,1,0,0,0,1,0] => 110110100010 => ([(0,4),(0,5),(1,49),(1,52),(2,3),(2,50),(2,51),(3,34),(3,48),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,11),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,30),(22,31),(23,24),(23,25),(24,26),(24,27),(25,26),(25,45),(26,22),(26,42),(27,22),(27,43),(28,25),(28,44),(29,27),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,36),(33,40),(34,28),(34,41),(35,24),(35,29),(36,29),(36,47),(37,23),(37,28),(38,7),(38,40),(39,23),(39,35),(40,19),(40,47),(41,13),(41,44),(42,18),(42,30),(43,17),(43,31),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,16),(47,46),(48,11),(48,41),(49,33),(49,38),(50,8),(50,48),(51,34),(51,37),(52,33),(52,55),(53,8),(53,37),(53,39),(54,38),(54,39),(54,55),(55,7),(55,35),(55,36),(56,49),(56,50),(56,53),(56,54),(57,51),(57,52),(57,53),(57,54)],58)
[1,1,0,1,1,0,1,0,0,1,0,0] => 110110100100 => ([(0,3),(0,4),(1,47),(1,49),(2,46),(2,48),(3,2),(3,54),(3,55),(4,1),(4,54),(4,55),(6,16),(7,17),(8,18),(9,19),(10,14),(11,15),(12,10),(13,11),(14,8),(15,9),(16,12),(17,13),(18,5),(19,5),(20,26),(20,27),(21,22),(21,23),(22,20),(22,40),(23,20),(23,41),(24,22),(24,42),(25,23),(25,43),(26,8),(26,28),(27,9),(27,28),(28,18),(28,19),(29,33),(29,38),(30,34),(30,39),(31,21),(31,24),(32,21),(32,25),(33,24),(33,44),(34,25),(34,45),(35,6),(35,38),(36,7),(36,39),(37,31),(37,32),(38,16),(38,44),(39,17),(39,45),(40,14),(40,26),(41,15),(41,27),(42,10),(42,40),(43,11),(43,41),(44,12),(44,42),(45,13),(45,43),(46,29),(46,35),(47,30),(47,36),(48,29),(48,52),(49,30),(49,53),(50,35),(50,37),(50,52),(51,36),(51,37),(51,53),(52,6),(52,31),(52,33),(53,7),(53,32),(53,34),(54,46),(54,47),(54,50),(54,51),(55,48),(55,49),(55,50),(55,51)],56)
[1,1,0,1,1,0,1,0,1,0,0,0] => 110110101000 => ([(0,4),(0,5),(1,21),(2,1),(2,34),(3,35),(3,37),(4,2),(4,52),(4,55),(5,3),(5,52),(5,55),(7,18),(8,15),(9,19),(10,20),(11,12),(12,16),(13,17),(14,13),(15,11),(16,9),(17,10),(18,14),(19,6),(20,6),(21,7),(22,31),(22,32),(23,39),(23,42),(24,25),(24,26),(25,27),(25,28),(26,27),(26,47),(27,22),(27,44),(28,22),(28,45),(29,26),(29,46),(30,28),(30,48),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,21),(34,40),(35,23),(35,36),(36,8),(36,42),(37,23),(37,51),(38,25),(38,30),(39,30),(39,49),(40,7),(40,43),(41,24),(41,29),(42,15),(42,49),(43,18),(43,46),(44,17),(44,31),(45,16),(45,32),(46,14),(46,47),(47,13),(47,44),(48,12),(48,45),(49,11),(49,48),(50,40),(50,41),(50,54),(51,8),(51,38),(51,39),(52,35),(52,50),(52,53),(53,36),(53,41),(53,51),(53,54),(54,24),(54,29),(54,38),(54,43),(55,34),(55,37),(55,50),(55,53)],56)
[1,1,0,1,1,0,1,1,0,0,0,0] => 110110110000 => ([(0,5),(0,6),(1,3),(1,27),(2,19),(3,2),(3,45),(4,30),(4,46),(5,1),(5,44),(5,50),(6,4),(6,44),(6,50),(8,16),(9,13),(10,17),(11,18),(12,14),(13,15),(14,10),(15,11),(16,12),(17,7),(18,7),(19,8),(20,22),(20,23),(21,38),(21,39),(22,10),(22,24),(23,11),(23,24),(24,17),(24,18),(25,28),(25,31),(26,8),(26,40),(27,32),(27,45),(28,29),(28,48),(29,21),(29,47),(30,28),(30,49),(31,29),(31,34),(32,26),(32,33),(33,36),(33,40),(34,21),(34,35),(35,9),(35,39),(36,37),(36,43),(37,20),(37,41),(38,20),(38,42),(39,13),(39,42),(40,16),(40,43),(41,14),(41,22),(42,15),(42,23),(43,12),(43,41),(44,25),(44,30),(45,19),(45,26),(46,31),(46,32),(46,49),(47,9),(47,37),(47,38),(48,35),(48,36),(48,47),(49,33),(49,34),(49,48),(50,25),(50,27),(50,46)],51)
[1,1,0,1,1,1,0,0,0,0,1,0] => 110111000010 => ([(0,6),(0,7),(1,5),(1,38),(1,50),(2,4),(2,40),(2,57),(3,53),(3,55),(4,51),(4,54),(5,3),(5,52),(5,56),(6,2),(6,58),(6,59),(7,1),(7,58),(7,59),(9,23),(10,20),(11,24),(12,25),(13,17),(14,16),(15,19),(16,15),(17,18),(18,21),(19,22),(20,13),(21,11),(22,12),(23,14),(24,8),(25,8),(26,28),(26,45),(27,28),(27,30),(28,29),(28,46),(29,32),(29,33),(30,29),(30,47),(31,26),(31,27),(32,11),(32,34),(33,12),(33,34),(34,24),(34,25),(35,27),(35,36),(36,30),(36,43),(37,26),(37,42),(38,41),(38,52),(39,10),(39,44),(40,44),(40,51),(41,31),(41,35),(42,17),(42,45),(43,19),(43,47),(44,20),(44,49),(45,18),(45,46),(46,21),(46,32),(47,22),(47,33),(48,15),(48,43),(49,13),(49,42),(50,23),(50,56),(51,37),(51,49),(52,35),(52,53),(53,36),(53,48),(54,31),(54,37),(55,16),(55,48),(56,14),(56,55),(57,10),(57,41),(57,54),(58,9),(58,39),(58,40),(58,50),(59,9),(59,38),(59,39),(59,57)],60)
[1,1,0,1,1,1,0,0,0,1,0,0] => 110111000100 => ([(0,5),(0,6),(1,4),(1,55),(1,57),(2,3),(2,54),(2,56),(3,37),(3,41),(4,38),(4,42),(5,2),(5,58),(5,59),(6,1),(6,58),(6,59),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,17),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,48),(29,31),(29,49),(30,25),(30,46),(31,25),(31,47),(32,28),(32,50),(33,29),(33,51),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,32),(37,44),(38,33),(38,45),(39,8),(39,52),(40,9),(40,53),(41,26),(41,32),(42,27),(42,33),(43,26),(43,27),(44,16),(44,50),(45,17),(45,51),(46,18),(46,34),(47,19),(47,35),(48,14),(48,46),(49,15),(49,47),(50,12),(50,48),(51,13),(51,49),(52,20),(52,44),(53,21),(53,45),(54,37),(54,52),(55,38),(55,53),(56,8),(56,41),(56,43),(57,9),(57,42),(57,43),(58,39),(58,40),(58,54),(58,55),(59,39),(59,40),(59,56),(59,57)],60)
[1,1,0,1,1,1,0,0,1,0,0,0] => 110111001000 => ([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,29),(27,24),(27,28),(28,30),(28,51),(29,31),(29,50),(30,25),(30,48),(31,25),(31,47),(32,29),(32,52),(33,28),(33,49),(34,10),(34,36),(35,11),(35,36),(36,21),(36,22),(37,8),(37,45),(38,32),(38,45),(39,26),(39,32),(40,33),(40,46),(41,37),(41,38),(42,9),(42,53),(43,26),(43,27),(44,27),(44,33),(45,20),(45,52),(46,14),(46,49),(47,18),(47,34),(48,19),(48,35),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,40),(54,53),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,39),(59,43)],60)
[1,1,0,1,1,1,0,1,0,0,0,0] => 110111010000 => ([(0,6),(0,7),(1,3),(1,38),(2,22),(3,2),(3,51),(4,5),(4,52),(4,53),(5,36),(5,37),(6,1),(6,54),(6,57),(7,4),(7,54),(7,57),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,32),(23,33),(24,25),(24,35),(25,31),(25,44),(26,27),(26,28),(27,23),(27,47),(28,23),(28,46),(29,30),(29,48),(30,28),(30,49),(31,27),(31,50),(32,11),(32,34),(33,12),(33,34),(34,20),(34,21),(35,9),(35,44),(36,29),(36,45),(37,29),(37,39),(38,24),(38,51),(39,26),(39,30),(40,25),(40,41),(41,26),(41,31),(42,10),(42,45),(43,24),(43,40),(44,19),(44,50),(45,16),(45,48),(46,17),(46,32),(47,18),(47,33),(48,13),(48,49),(49,14),(49,46),(50,15),(50,47),(51,22),(51,35),(52,37),(52,55),(53,36),(53,42),(54,43),(54,53),(54,56),(55,10),(55,39),(55,41),(56,40),(56,42),(56,55),(57,38),(57,43),(57,52),(57,56)],58)
[1,1,0,1,1,1,1,0,0,0,0,0] => 110111100000 => ([(0,8),(0,9),(1,4),(1,41),(2,24),(3,2),(3,50),(4,3),(4,49),(5,7),(5,37),(5,56),(6,51),(6,53),(7,6),(7,52),(7,54),(8,1),(8,38),(8,55),(9,5),(9,38),(9,55),(11,21),(12,18),(13,22),(14,23),(15,16),(16,17),(17,19),(18,15),(19,14),(20,13),(21,20),(22,10),(23,10),(24,11),(25,30),(25,31),(26,25),(26,45),(27,25),(27,46),(28,29),(28,35),(29,26),(29,42),(30,14),(30,33),(31,13),(31,33),(32,11),(32,42),(33,22),(33,23),(34,29),(34,32),(35,26),(35,27),(36,27),(36,43),(37,44),(37,52),(38,37),(38,40),(39,28),(39,34),(40,12),(40,44),(41,39),(41,49),(42,21),(42,45),(43,17),(43,46),(44,18),(44,48),(45,20),(45,31),(46,19),(46,30),(47,16),(47,43),(48,15),(48,47),(49,34),(49,50),(50,24),(50,32),(51,35),(51,36),(52,48),(52,53),(53,36),(53,47),(54,28),(54,51),(55,40),(55,41),(55,56),(56,12),(56,39),(56,54)],57)
[1,1,1,0,0,0,1,0,1,0,1,0] => 111000101010 => ([(0,5),(0,6),(1,2),(1,48),(2,8),(3,4),(3,49),(3,50),(4,32),(4,33),(5,1),(5,51),(5,55),(6,3),(6,51),(6,55),(8,19),(9,12),(10,20),(11,21),(12,15),(13,14),(14,17),(15,18),(16,13),(17,10),(18,11),(19,16),(20,7),(21,7),(22,29),(22,30),(23,26),(23,28),(24,23),(24,25),(25,26),(25,44),(26,22),(26,43),(27,25),(27,45),(28,22),(28,42),(29,11),(29,31),(30,10),(30,31),(31,20),(31,21),(32,24),(32,27),(33,27),(33,40),(34,24),(34,36),(35,28),(35,41),(36,23),(36,35),(37,9),(37,47),(38,37),(38,52),(39,38),(39,53),(40,16),(40,45),(41,15),(41,42),(42,18),(42,29),(43,17),(43,30),(44,14),(44,43),(45,13),(45,44),(46,19),(46,40),(47,12),(47,41),(48,8),(48,46),(49,33),(49,46),(50,32),(50,34),(51,39),(51,50),(51,54),(52,9),(52,35),(52,47),(53,36),(53,37),(53,52),(54,34),(54,38),(54,53),(55,39),(55,48),(55,49),(55,54)],56)
[1,1,1,0,0,0,1,0,1,1,0,0] => 111000101100 => ([(0,5),(0,6),(1,22),(2,4),(2,52),(2,54),(3,1),(3,53),(3,56),(4,40),(4,41),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,19),(9,12),(10,20),(11,21),(12,13),(13,14),(14,17),(15,18),(16,15),(17,10),(18,11),(19,16),(20,7),(21,7),(22,9),(23,31),(23,32),(24,34),(24,35),(25,23),(25,29),(26,23),(26,30),(27,30),(27,45),(28,25),(28,33),(29,31),(29,48),(30,32),(30,49),(31,24),(31,46),(32,24),(32,47),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,20),(36,21),(37,25),(37,26),(38,33),(38,44),(39,8),(39,44),(40,27),(40,51),(41,26),(41,27),(42,28),(42,37),(43,28),(43,38),(44,19),(44,50),(45,13),(45,49),(46,18),(46,34),(47,17),(47,35),(48,15),(48,46),(49,14),(49,47),(50,16),(50,48),(51,12),(51,45),(52,37),(52,41),(53,38),(53,39),(54,40),(54,55),(55,8),(55,9),(55,51),(56,22),(56,39),(56,55),(57,42),(57,43),(57,54),(57,56),(58,42),(58,43),(58,52),(58,53)],59)
[1,1,1,0,0,0,1,1,0,0,1,0] => 111000110010 => ([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,40),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,13),(13,14),(14,16),(15,18),(16,19),(17,15),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,31),(25,32),(26,34),(26,35),(27,25),(27,33),(28,30),(28,42),(29,25),(29,30),(30,32),(30,47),(31,26),(31,45),(32,26),(32,44),(33,31),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,27),(37,29),(38,27),(38,41),(39,28),(39,29),(40,28),(40,50),(41,33),(41,43),(42,17),(42,47),(43,14),(43,46),(44,18),(44,34),(45,19),(45,35),(46,16),(46,45),(47,15),(47,44),(48,12),(48,49),(49,13),(49,43),(50,20),(50,42),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,40),(54,48),(54,56),(55,24),(55,38),(55,56),(56,8),(56,41),(56,49),(56,50),(57,21),(57,37),(57,39),(57,48)],58)
[1,1,1,0,0,0,1,1,0,1,0,0] => 111000110100 => ([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,17),(10,21),(11,22),(12,14),(13,12),(14,19),(15,18),(16,15),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,52),(29,31),(29,51),(30,25),(30,47),(31,25),(31,48),(32,28),(32,49),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,21),(36,22),(37,32),(37,53),(38,26),(38,32),(39,26),(39,27),(40,27),(40,33),(41,37),(41,45),(42,9),(42,45),(43,8),(43,46),(44,33),(44,46),(45,17),(45,53),(46,20),(46,50),(47,19),(47,34),(48,18),(48,35),(49,12),(49,52),(50,16),(50,51),(51,15),(51,48),(52,14),(52,47),(53,13),(53,49),(54,39),(54,40),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,38),(59,43)],60)
[1,1,1,0,0,0,1,1,1,0,0,0] => 111000111000 => ([(0,5),(0,6),(1,4),(1,49),(1,51),(2,3),(2,48),(2,50),(3,38),(3,40),(4,39),(4,41),(5,2),(5,42),(5,43),(6,1),(6,42),(6,43),(8,14),(9,15),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,21),(19,46),(20,21),(20,47),(21,30),(21,31),(22,18),(22,28),(23,18),(23,29),(24,32),(24,34),(25,33),(25,34),(26,28),(26,32),(27,29),(27,33),(28,19),(28,44),(29,20),(29,45),(30,10),(30,35),(31,11),(31,35),(32,8),(32,44),(33,9),(33,45),(34,8),(34,9),(35,16),(35,17),(36,24),(36,25),(37,22),(37,23),(38,24),(38,26),(39,25),(39,27),(40,22),(40,26),(41,23),(41,27),(42,48),(42,49),(43,50),(43,51),(44,14),(44,46),(45,15),(45,47),(46,12),(46,30),(47,13),(47,31),(48,36),(48,38),(49,36),(49,39),(50,37),(50,40),(51,37),(51,41)],52)
[1,1,1,0,0,1,0,0,1,0,1,0] => 111001001010 => ([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,11),(9,20),(10,21),(11,12),(12,13),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,29),(23,30),(24,25),(24,26),(25,23),(25,41),(26,23),(26,42),(27,25),(27,43),(28,26),(28,44),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,8),(32,45),(33,22),(33,37),(34,49),(34,50),(35,24),(35,27),(36,24),(36,28),(37,7),(37,47),(38,35),(38,36),(39,13),(39,44),(40,16),(40,43),(41,18),(41,29),(42,17),(42,30),(43,15),(43,41),(44,14),(44,42),(45,11),(45,46),(46,12),(46,39),(47,19),(47,40),(48,37),(48,38),(48,50),(49,35),(49,46),(49,53),(50,36),(50,47),(50,53),(51,32),(51,34),(51,52),(52,8),(52,38),(52,45),(52,49),(53,27),(53,28),(53,39),(53,40),(54,32),(54,33),(54,48),(54,52)],55)
[1,1,1,0,0,1,0,0,1,1,0,0] => 111001001100 => ([(0,4),(0,5),(1,21),(2,52),(2,54),(3,1),(3,48),(3,53),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,18),(8,11),(9,19),(10,20),(11,12),(12,13),(13,16),(14,17),(15,14),(16,9),(17,10),(18,15),(19,6),(20,6),(21,8),(22,24),(22,29),(23,31),(23,32),(24,27),(24,28),(25,22),(25,37),(26,22),(26,36),(27,23),(27,42),(28,23),(28,43),(29,28),(29,45),(30,27),(30,44),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,38),(34,40),(35,7),(35,40),(36,29),(36,41),(37,24),(37,30),(38,30),(38,46),(39,25),(39,26),(40,18),(40,46),(41,12),(41,45),(42,17),(42,31),(43,16),(43,32),(44,14),(44,42),(45,13),(45,43),(46,15),(46,44),(47,11),(47,41),(48,34),(48,35),(49,7),(49,8),(49,47),(50,39),(50,53),(50,54),(51,39),(51,48),(51,52),(52,26),(52,34),(52,55),(53,21),(53,35),(53,49),(54,25),(54,49),(54,55),(55,36),(55,37),(55,38),(55,47)],56)
[1,1,1,0,0,1,0,1,0,0,1,0] => 111001010010 => ([(0,4),(0,5),(1,20),(2,1),(2,33),(3,36),(3,49),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,27),(21,28),(22,29),(22,30),(23,26),(23,42),(24,21),(24,26),(25,21),(25,38),(26,27),(26,46),(27,22),(27,45),(28,22),(28,44),(29,10),(29,31),(30,9),(30,31),(31,18),(31,19),(32,34),(32,35),(33,20),(33,40),(34,23),(34,24),(35,24),(35,25),(36,37),(36,51),(37,25),(37,50),(38,28),(38,43),(39,8),(39,42),(40,7),(40,47),(41,23),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,29),(45,15),(45,30),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,32),(52,36),(52,53),(53,34),(53,35),(53,37),(53,41),(54,32),(54,33),(54,49),(54,53)],55)
[1,1,1,0,0,1,0,1,0,1,0,0] => 111001010100 => ([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,12),(9,20),(10,21),(11,13),(12,11),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,30),(23,31),(24,25),(24,26),(25,23),(25,43),(26,23),(26,44),(27,25),(27,45),(28,27),(28,47),(29,26),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,22),(33,40),(34,35),(34,37),(35,28),(35,38),(36,49),(36,50),(37,28),(37,41),(38,24),(38,27),(39,29),(39,42),(40,7),(40,41),(41,19),(41,47),(42,13),(42,46),(43,18),(43,30),(44,17),(44,31),(45,15),(45,43),(46,14),(46,44),(47,16),(47,45),(48,8),(48,37),(48,40),(49,38),(49,39),(49,53),(50,12),(50,39),(50,53),(51,34),(51,36),(51,52),(52,8),(52,35),(52,49),(52,50),(53,11),(53,24),(53,29),(53,42),(54,33),(54,36),(54,48),(54,52)],55)
[1,1,1,0,0,1,0,1,1,0,0,0] => 111001011000 => ([(0,5),(0,6),(1,23),(2,22),(3,2),(3,52),(3,54),(4,1),(4,53),(4,55),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,18),(9,19),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,24),(27,30),(28,26),(28,27),(29,31),(29,49),(30,32),(30,48),(31,25),(31,47),(32,25),(32,46),(33,29),(33,51),(34,30),(34,50),(35,10),(35,37),(36,11),(36,37),(37,20),(37,21),(38,26),(38,33),(39,27),(39,34),(40,28),(40,38),(41,28),(41,39),(42,33),(42,45),(43,34),(43,44),(44,18),(44,50),(45,19),(45,51),(46,16),(46,35),(47,17),(47,36),(48,12),(48,46),(49,13),(49,47),(50,14),(50,48),(51,15),(51,49),(52,38),(52,42),(53,39),(53,43),(54,22),(54,42),(54,58),(55,23),(55,43),(55,58),(56,40),(56,41),(56,52),(56,53),(57,40),(57,41),(57,54),(57,55),(58,8),(58,9),(58,44),(58,45)],59)
[1,1,1,0,0,1,1,0,0,0,1,0] => 111001100010 => ([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,49),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,18),(16,19),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,33),(25,34),(26,28),(26,29),(27,29),(27,43),(28,30),(28,31),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,30),(32,46),(33,10),(33,35),(34,11),(34,35),(35,22),(35,23),(36,27),(36,50),(37,26),(37,27),(38,26),(38,40),(39,41),(39,42),(40,28),(40,32),(41,32),(41,48),(42,14),(42,48),(43,17),(43,47),(44,19),(44,34),(45,18),(45,33),(46,15),(46,45),(47,16),(47,44),(48,13),(48,46),(49,12),(49,42),(50,20),(50,43),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,36),(54,39),(54,56),(55,24),(55,38),(55,56),(56,8),(56,40),(56,41),(56,50),(57,21),(57,36),(57,37),(57,49)],58)
[1,1,1,0,0,1,1,0,0,1,0,0] => 111001100100 => ([(0,4),(0,5),(1,22),(2,51),(2,53),(3,1),(3,46),(3,52),(4,2),(4,47),(4,48),(5,3),(5,47),(5,48),(7,18),(8,19),(9,20),(10,21),(11,14),(12,15),(13,11),(14,16),(15,17),(16,9),(17,10),(18,13),(19,12),(20,6),(21,6),(22,8),(23,24),(23,40),(24,29),(24,30),(25,27),(25,28),(26,24),(26,41),(27,23),(27,26),(28,23),(28,38),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,25),(32,35),(33,25),(33,36),(34,26),(34,39),(35,28),(35,44),(36,27),(36,34),(37,7),(37,42),(38,15),(38,40),(39,14),(39,41),(40,17),(40,29),(41,16),(41,30),(42,18),(42,45),(43,11),(43,39),(44,12),(44,38),(45,13),(45,43),(46,32),(46,33),(47,37),(47,52),(47,53),(48,37),(48,46),(48,51),(49,35),(49,45),(49,54),(50,8),(50,36),(50,54),(51,32),(51,42),(51,49),(52,22),(52,33),(52,50),(53,7),(53,49),(53,50),(54,19),(54,34),(54,43),(54,44)],55)
[1,1,1,0,0,1,1,0,1,0,0,0] => 111001101000 => ([(0,5),(0,6),(1,22),(2,23),(3,1),(3,54),(3,58),(4,2),(4,55),(4,59),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,19),(9,18),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,30),(27,24),(27,29),(28,33),(28,46),(29,31),(29,51),(30,32),(30,52),(31,25),(31,48),(32,25),(32,49),(33,30),(33,53),(34,29),(34,50),(35,10),(35,37),(36,11),(36,37),(37,20),(37,21),(38,26),(38,33),(39,8),(39,46),(40,9),(40,47),(41,34),(41,47),(42,26),(42,27),(43,27),(43,34),(44,28),(44,39),(45,28),(45,38),(46,19),(46,53),(47,18),(47,50),(48,16),(48,35),(49,17),(49,36),(50,14),(50,51),(51,12),(51,48),(52,13),(52,49),(53,15),(53,52),(54,41),(54,43),(55,42),(55,43),(56,44),(56,45),(56,58),(56,59),(57,44),(57,45),(57,54),(57,55),(58,22),(58,39),(58,40),(58,41),(59,23),(59,38),(59,40),(59,42)],60)
[1,1,1,0,0,1,1,1,0,0,0,0] => 111001110000 => ([(0,6),(0,7),(1,21),(2,1),(2,37),(3,5),(3,49),(3,51),(4,2),(4,50),(4,54),(5,35),(5,36),(6,3),(6,38),(6,39),(7,4),(7,38),(7,39),(9,18),(10,15),(11,19),(12,20),(13,16),(14,17),(15,13),(16,11),(17,12),(18,14),(19,8),(20,8),(21,9),(22,28),(22,29),(23,30),(23,31),(24,22),(24,27),(25,27),(25,43),(26,22),(26,40),(27,28),(27,47),(28,23),(28,46),(29,23),(29,45),(30,12),(30,32),(31,11),(31,32),(32,19),(32,20),(33,25),(33,41),(34,24),(34,25),(35,26),(35,53),(36,24),(36,26),(37,21),(37,42),(38,51),(38,54),(39,49),(39,50),(40,29),(40,44),(41,10),(41,43),(42,9),(42,48),(43,15),(43,47),(44,14),(44,45),(45,17),(45,30),(46,16),(46,31),(47,13),(47,46),(48,18),(48,44),(49,34),(49,36),(50,33),(50,34),(51,35),(51,52),(52,41),(52,42),(52,53),(53,10),(53,40),(53,48),(54,33),(54,37),(54,52)],55)
[1,1,1,0,1,0,0,0,1,0,1,0] => 111010001010 => ([(0,5),(0,6),(1,2),(1,50),(2,8),(3,4),(3,51),(3,52),(4,37),(4,38),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,16),(15,19),(16,18),(17,13),(18,10),(19,11),(20,12),(21,7),(22,7),(23,29),(23,30),(24,33),(24,34),(25,23),(25,32),(26,23),(26,28),(27,31),(27,41),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,28),(31,47),(32,29),(32,45),(33,10),(33,35),(34,11),(34,35),(35,21),(35,22),(36,25),(36,39),(37,26),(37,31),(38,25),(38,26),(39,32),(39,42),(40,9),(40,41),(41,17),(41,47),(42,14),(42,45),(43,19),(43,34),(44,18),(44,33),(45,16),(45,44),(46,15),(46,43),(47,13),(47,46),(48,12),(48,42),(49,20),(49,48),(50,8),(50,49),(51,36),(51,38),(52,27),(52,37),(53,52),(53,55),(53,57),(54,9),(54,39),(54,48),(55,40),(55,49),(55,54),(56,50),(56,51),(56,55),(56,57),(57,27),(57,36),(57,40),(57,54)],58)
[1,1,1,0,1,0,0,0,1,1,0,0] => 111010001100 => ([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,34),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,50),(31,25),(31,48),(32,25),(32,47),(33,29),(33,49),(34,30),(34,52),(35,10),(35,37),(36,11),(36,37),(37,21),(37,22),(38,8),(38,45),(39,33),(39,46),(40,26),(40,33),(41,27),(41,38),(42,27),(42,43),(43,28),(43,34),(44,26),(44,28),(45,20),(45,52),(46,14),(46,49),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,39),(54,40),(55,39),(55,53),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,9),(59,23),(59,38),(59,53)],60)
[1,1,1,0,1,0,0,1,0,0,1,0] => 111010010010 => ([(0,4),(0,5),(1,19),(2,1),(2,28),(3,26),(3,31),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,16),(8,13),(9,17),(10,18),(11,14),(12,11),(13,15),(14,9),(15,10),(16,12),(17,6),(18,6),(19,7),(20,22),(20,23),(21,38),(21,40),(22,9),(22,25),(23,10),(23,25),(24,7),(24,41),(25,17),(25,18),(26,29),(26,32),(27,24),(27,33),(28,19),(28,24),(29,30),(29,48),(30,21),(30,47),(31,29),(31,49),(32,30),(32,34),(33,39),(33,41),(34,21),(34,35),(35,8),(35,40),(36,37),(36,45),(37,20),(37,42),(38,20),(38,43),(39,36),(39,44),(40,13),(40,43),(41,16),(41,44),(42,14),(42,22),(43,15),(43,23),(44,12),(44,45),(45,11),(45,42),(46,32),(46,33),(46,49),(47,8),(47,37),(47,38),(48,35),(48,36),(48,47),(49,34),(49,39),(49,48),(50,26),(50,27),(50,46),(51,27),(51,28),(51,31),(51,46)],52)
[1,1,1,0,1,0,0,1,0,1,0,0] => 111010010100 => ([(0,4),(0,5),(1,20),(2,1),(2,33),(3,34),(3,35),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,26),(24,21),(24,27),(25,27),(25,42),(26,21),(26,38),(27,28),(27,46),(28,22),(28,45),(29,22),(29,44),(30,10),(30,32),(31,9),(31,32),(32,18),(32,19),(33,20),(33,40),(34,23),(34,37),(35,23),(35,36),(36,24),(36,25),(37,26),(37,50),(38,29),(38,43),(39,8),(39,42),(40,7),(40,47),(41,25),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,30),(45,15),(45,31),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,35),(52,49),(52,53),(53,36),(53,37),(53,41),(53,51),(54,33),(54,34),(54,49),(54,53)],55)
[1,1,1,0,1,0,0,1,1,0,0,0] => 111010011000 => ([(0,5),(0,6),(1,22),(2,23),(3,1),(3,54),(3,58),(4,2),(4,55),(4,59),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,19),(9,18),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,30),(27,24),(27,29),(28,33),(28,46),(29,31),(29,51),(30,32),(30,52),(31,25),(31,48),(32,25),(32,49),(33,30),(33,53),(34,29),(34,50),(35,10),(35,37),(36,11),(36,37),(37,20),(37,21),(38,26),(38,33),(39,8),(39,46),(40,9),(40,47),(41,34),(41,47),(42,26),(42,27),(43,27),(43,34),(44,28),(44,39),(45,28),(45,38),(46,19),(46,53),(47,18),(47,50),(48,16),(48,35),(49,17),(49,36),(50,14),(50,51),(51,12),(51,48),(52,13),(52,49),(53,15),(53,52),(54,41),(54,43),(55,42),(55,43),(56,44),(56,45),(56,58),(56,59),(57,44),(57,45),(57,54),(57,55),(58,22),(58,39),(58,40),(58,41),(59,23),(59,38),(59,40),(59,42)],60)
[1,1,1,0,1,0,1,0,0,0,1,0] => 111010100010 => ([(0,5),(0,6),(1,2),(1,50),(2,9),(3,4),(3,51),(3,52),(4,35),(4,47),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,21),(9,13),(10,22),(11,23),(12,15),(13,12),(14,16),(15,17),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,31),(24,32),(25,27),(25,28),(26,27),(26,44),(27,24),(27,42),(28,24),(28,43),(29,26),(29,46),(30,28),(30,45),(31,10),(31,33),(32,11),(32,33),(33,22),(33,23),(34,29),(34,36),(35,29),(35,40),(36,25),(36,26),(37,30),(37,41),(38,25),(38,30),(39,37),(39,38),(40,18),(40,46),(41,15),(41,45),(42,19),(42,31),(43,20),(43,32),(44,16),(44,42),(45,17),(45,43),(46,14),(46,44),(47,21),(47,40),(48,12),(48,41),(49,13),(49,48),(50,9),(50,49),(51,34),(51,35),(52,8),(52,47),(53,52),(53,54),(53,57),(54,39),(54,49),(54,55),(55,36),(55,37),(55,38),(55,48),(56,50),(56,51),(56,54),(56,57),(57,8),(57,34),(57,39),(57,55)],58)
[1,1,1,0,1,0,1,0,0,1,0,0] => 111010100100 => ([(0,4),(0,5),(1,21),(2,1),(2,34),(3,35),(3,37),(4,2),(4,52),(4,55),(5,3),(5,52),(5,55),(7,18),(8,15),(9,19),(10,20),(11,12),(12,16),(13,17),(14,13),(15,11),(16,9),(17,10),(18,14),(19,6),(20,6),(21,7),(22,31),(22,32),(23,39),(23,42),(24,25),(24,26),(25,27),(25,28),(26,27),(26,47),(27,22),(27,44),(28,22),(28,45),(29,26),(29,46),(30,28),(30,48),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,21),(34,40),(35,23),(35,36),(36,8),(36,42),(37,23),(37,51),(38,25),(38,30),(39,30),(39,49),(40,7),(40,43),(41,24),(41,29),(42,15),(42,49),(43,18),(43,46),(44,17),(44,31),(45,16),(45,32),(46,14),(46,47),(47,13),(47,44),(48,12),(48,45),(49,11),(49,48),(50,40),(50,41),(50,54),(51,8),(51,38),(51,39),(52,35),(52,50),(52,53),(53,36),(53,41),(53,51),(53,54),(54,24),(54,29),(54,38),(54,43),(55,34),(55,37),(55,50),(55,53)],56)
[1,1,1,0,1,0,1,0,1,0,0,0] => 111010101000 => ([(0,5),(0,6),(1,4),(1,44),(2,3),(2,43),(3,8),(4,9),(5,2),(5,42),(5,51),(6,1),(6,42),(6,51),(8,20),(9,21),(10,22),(11,23),(12,16),(13,17),(14,18),(15,19),(16,14),(17,15),(18,10),(19,11),(20,12),(21,13),(22,7),(23,7),(24,25),(24,26),(25,10),(25,27),(26,11),(26,27),(27,22),(27,23),(28,24),(28,34),(29,24),(29,35),(30,28),(30,29),(31,47),(31,48),(32,12),(32,38),(33,13),(33,39),(34,18),(34,25),(35,19),(35,26),(36,14),(36,34),(37,15),(37,35),(38,16),(38,36),(39,17),(39,37),(40,20),(40,32),(41,21),(41,33),(42,45),(42,46),(43,8),(43,40),(44,9),(44,41),(45,31),(45,40),(45,50),(46,31),(46,41),(46,50),(47,30),(47,38),(47,49),(48,30),(48,39),(48,49),(49,28),(49,29),(49,36),(49,37),(50,32),(50,33),(50,47),(50,48),(51,43),(51,44),(51,45),(51,46)],52)
[1,1,1,0,1,0,1,1,0,0,0,0] => 111010110000 => ([(0,6),(0,7),(1,3),(1,54),(2,23),(3,4),(3,40),(4,9),(5,2),(5,45),(5,56),(6,5),(6,55),(6,58),(7,1),(7,55),(7,58),(9,20),(10,17),(11,21),(12,22),(13,14),(14,18),(15,19),(16,15),(17,13),(18,11),(19,12),(20,16),(21,8),(22,8),(23,10),(24,25),(24,35),(25,33),(25,34),(26,37),(26,38),(27,25),(27,31),(28,24),(28,27),(29,24),(29,32),(30,32),(30,46),(31,34),(31,51),(32,35),(32,53),(33,26),(33,49),(34,26),(34,48),(35,33),(35,52),(36,31),(36,50),(37,12),(37,39),(38,11),(38,39),(39,21),(39,22),(40,9),(40,47),(41,27),(41,36),(42,10),(42,46),(43,36),(43,47),(44,29),(44,30),(45,28),(45,41),(46,17),(46,53),(47,20),(47,50),(48,19),(48,37),(49,18),(49,38),(50,16),(50,51),(51,15),(51,48),(52,14),(52,49),(53,13),(53,52),(54,40),(54,43),(55,44),(55,45),(55,57),(56,23),(56,41),(56,42),(56,43),(57,28),(57,29),(57,30),(57,42),(58,44),(58,54),(58,56),(58,57)],59)
[1,1,1,0,1,1,0,0,0,0,1,0] => 111011000010 => ([(0,6),(0,7),(1,25),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,5),(4,43),(4,53),(5,35),(5,46),(6,2),(6,57),(6,58),(7,3),(7,57),(7,58),(9,22),(10,14),(11,23),(12,24),(13,16),(14,13),(15,17),(16,15),(17,21),(18,20),(19,18),(20,11),(21,12),(22,19),(23,8),(24,8),(25,9),(26,32),(26,33),(27,36),(27,37),(28,26),(28,30),(29,26),(29,31),(30,32),(30,50),(31,33),(31,51),(32,27),(32,47),(33,27),(33,48),(34,30),(34,52),(35,31),(35,49),(36,11),(36,38),(37,12),(37,38),(38,23),(38,24),(39,9),(39,45),(40,34),(40,45),(41,28),(41,29),(42,28),(42,34),(43,29),(43,35),(44,39),(44,40),(45,22),(45,52),(46,16),(46,49),(47,20),(47,36),(48,21),(48,37),(49,15),(49,51),(50,18),(50,47),(51,17),(51,48),(52,19),(52,50),(53,13),(53,46),(54,41),(54,43),(55,40),(55,42),(56,14),(56,53),(57,10),(57,44),(57,55),(57,56),(58,10),(58,44),(58,54),(58,59),(59,25),(59,39),(59,41),(59,42)],60)
[1,1,1,0,1,1,0,0,0,1,0,0] => 111011000100 => ([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,29),(27,24),(27,28),(28,30),(28,51),(29,31),(29,50),(30,25),(30,48),(31,25),(31,47),(32,29),(32,52),(33,28),(33,49),(34,10),(34,36),(35,11),(35,36),(36,21),(36,22),(37,8),(37,45),(38,32),(38,45),(39,26),(39,32),(40,33),(40,46),(41,37),(41,38),(42,9),(42,53),(43,26),(43,27),(44,27),(44,33),(45,20),(45,52),(46,14),(46,49),(47,18),(47,34),(48,19),(48,35),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,40),(54,53),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,39),(59,43)],60)
[1,1,1,0,1,1,0,0,1,0,0,0] => 111011001000 => ([(0,5),(0,6),(1,23),(2,22),(3,2),(3,54),(3,58),(4,1),(4,55),(4,59),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,18),(9,19),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,50),(29,31),(29,51),(30,25),(30,48),(31,25),(31,49),(32,28),(32,52),(33,29),(33,53),(34,10),(34,36),(35,11),(35,36),(36,20),(36,21),(37,8),(37,46),(38,9),(38,47),(39,26),(39,27),(40,32),(40,46),(41,33),(41,47),(42,26),(42,32),(43,27),(43,33),(44,37),(44,40),(45,38),(45,41),(46,18),(46,52),(47,19),(47,53),(48,16),(48,34),(49,17),(49,35),(50,12),(50,48),(51,13),(51,49),(52,14),(52,50),(53,15),(53,51),(54,40),(54,42),(55,41),(55,43),(56,44),(56,45),(56,58),(56,59),(57,44),(57,45),(57,54),(57,55),(58,22),(58,37),(58,39),(58,42),(59,23),(59,38),(59,39),(59,43)],60)
[1,1,1,0,1,1,0,1,0,0,0,0] => 111011010000 => ([(0,6),(0,7),(1,3),(1,52),(2,23),(3,4),(3,37),(4,9),(5,2),(5,38),(5,54),(6,5),(6,55),(6,57),(7,1),(7,55),(7,57),(9,20),(10,13),(11,21),(12,22),(13,14),(14,15),(15,18),(16,19),(17,16),(18,11),(19,12),(20,17),(21,8),(22,8),(23,10),(24,32),(24,33),(25,27),(25,28),(26,30),(26,45),(27,24),(27,46),(28,24),(28,47),(29,28),(29,49),(30,27),(30,48),(31,29),(31,50),(32,11),(32,34),(33,12),(33,34),(34,21),(34,22),(35,36),(35,42),(36,31),(36,44),(37,9),(37,44),(38,41),(38,43),(39,25),(39,30),(40,25),(40,29),(41,26),(41,51),(42,31),(42,40),(43,26),(43,39),(44,20),(44,50),(45,14),(45,48),(46,18),(46,32),(47,19),(47,33),(48,15),(48,46),(49,16),(49,47),(50,17),(50,49),(51,13),(51,45),(52,36),(52,37),(53,41),(53,42),(53,56),(54,23),(54,43),(54,56),(55,35),(55,38),(55,53),(56,10),(56,39),(56,40),(56,51),(57,35),(57,52),(57,53),(57,54)],58)
[1,1,1,0,1,1,1,0,0,0,0,0] => 111011100000 => ([(0,7),(0,8),(1,4),(1,43),(2,22),(3,2),(3,52),(4,3),(4,51),(5,6),(5,50),(5,55),(6,37),(6,53),(7,1),(7,39),(7,54),(8,5),(8,39),(8,54),(10,19),(11,16),(12,20),(13,21),(14,15),(15,17),(16,14),(17,13),(18,12),(19,18),(20,9),(21,9),(22,10),(23,30),(23,31),(24,27),(24,44),(25,26),(25,27),(26,23),(26,47),(27,23),(27,46),(28,29),(28,48),(29,26),(29,49),(30,12),(30,33),(31,13),(31,33),(32,10),(32,44),(33,20),(33,21),(34,38),(34,40),(35,11),(35,45),(36,28),(36,45),(37,28),(37,41),(38,24),(38,32),(39,42),(39,50),(40,24),(40,25),(41,25),(41,29),(42,35),(42,36),(43,34),(43,51),(44,19),(44,46),(45,16),(45,48),(46,18),(46,30),(47,17),(47,31),(48,14),(48,49),(49,15),(49,47),(50,36),(50,37),(51,38),(51,52),(52,22),(52,32),(53,11),(53,40),(53,41),(54,42),(54,43),(54,55),(55,34),(55,35),(55,53)],56)
[1,1,1,1,0,0,0,0,1,0,1,0] => 111100001010 => ([(0,7),(0,8),(1,3),(1,38),(2,24),(3,2),(3,51),(4,6),(4,39),(4,41),(5,54),(5,55),(6,5),(6,52),(6,53),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,14),(12,22),(13,23),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,29),(25,30),(26,32),(26,33),(27,25),(27,45),(28,25),(28,46),(29,12),(29,31),(30,13),(30,31),(31,22),(31,23),(32,10),(32,43),(33,35),(33,43),(34,27),(34,48),(35,28),(35,49),(36,34),(36,47),(37,27),(37,28),(38,26),(38,51),(39,26),(39,53),(40,36),(40,44),(41,40),(41,52),(42,11),(42,50),(43,21),(43,49),(44,16),(44,47),(45,19),(45,29),(46,20),(46,30),(47,15),(47,48),(48,17),(48,45),(49,18),(49,46),(50,14),(50,44),(51,24),(51,32),(52,36),(52,54),(53,33),(53,55),(54,34),(54,37),(55,35),(55,37),(56,41),(56,42),(56,57),(57,11),(57,40),(57,50),(58,38),(58,39),(58,42),(58,57)],59)
[1,1,1,1,0,0,0,0,1,1,0,0] => 111100001100 => ([(0,7),(0,8),(1,23),(2,1),(2,40),(3,5),(3,52),(3,54),(4,2),(4,53),(4,56),(5,6),(5,38),(5,39),(6,26),(6,27),(7,3),(7,41),(7,42),(8,4),(8,41),(8,42),(10,20),(11,17),(12,21),(13,22),(14,15),(15,18),(16,19),(17,14),(18,12),(19,13),(20,16),(21,9),(22,9),(23,10),(24,29),(24,30),(25,33),(25,34),(26,24),(26,28),(27,24),(27,32),(28,29),(28,49),(29,25),(29,47),(30,25),(30,48),(31,28),(31,51),(32,30),(32,50),(33,12),(33,35),(34,13),(34,35),(35,21),(35,22),(36,11),(36,45),(37,31),(37,45),(38,27),(38,43),(39,26),(39,31),(40,23),(40,44),(41,54),(41,56),(42,52),(42,53),(43,32),(43,46),(44,10),(44,46),(45,17),(45,51),(46,20),(46,50),(47,18),(47,33),(48,19),(48,34),(49,15),(49,47),(50,16),(50,48),(51,14),(51,49),(52,37),(52,39),(53,36),(53,37),(54,38),(54,55),(55,11),(55,43),(55,44),(56,36),(56,40),(56,55)],57)
[1,1,1,1,0,0,0,1,0,0,1,0] => 111100010010 => ([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,26),(24,27),(25,27),(25,45),(26,28),(26,29),(27,29),(27,51),(28,23),(28,48),(29,23),(29,47),(30,28),(30,49),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,24),(35,41),(36,44),(36,55),(37,25),(37,34),(38,42),(38,46),(39,10),(39,46),(40,24),(40,25),(41,26),(41,30),(42,30),(42,50),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,50),(47,18),(47,32),(48,17),(48,31),(49,14),(49,48),(50,13),(50,49),(51,15),(51,47),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
[1,1,1,1,0,0,0,1,0,1,0,0] => 111100010100 => ([(0,6),(0,7),(1,3),(1,43),(2,23),(3,2),(3,53),(4,5),(4,54),(4,56),(5,41),(5,42),(6,1),(6,55),(6,57),(7,4),(7,55),(7,57),(9,20),(10,17),(11,21),(12,22),(13,15),(14,13),(15,18),(16,19),(17,14),(18,11),(19,12),(20,16),(21,8),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,30),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,52),(31,25),(31,47),(32,25),(32,48),(33,29),(33,49),(34,33),(34,50),(35,11),(35,37),(36,12),(36,37),(37,21),(37,22),(38,9),(38,45),(39,27),(39,38),(40,26),(40,33),(41,27),(41,28),(42,26),(42,28),(43,39),(43,53),(44,34),(44,46),(45,20),(45,52),(46,17),(46,50),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,14),(50,49),(51,15),(51,47),(52,16),(52,48),(53,23),(53,38),(54,40),(54,42),(55,44),(55,54),(55,58),(56,10),(56,39),(56,41),(57,43),(57,44),(57,56),(57,58),(58,10),(58,34),(58,40),(58,46)],59)
[1,1,1,1,0,0,0,1,1,0,0,0] => 111100011000 => ([(0,6),(0,7),(1,21),(2,1),(2,37),(3,5),(3,49),(3,51),(4,2),(4,50),(4,54),(5,35),(5,36),(6,3),(6,38),(6,39),(7,4),(7,38),(7,39),(9,18),(10,15),(11,19),(12,20),(13,16),(14,17),(15,13),(16,11),(17,12),(18,14),(19,8),(20,8),(21,9),(22,28),(22,29),(23,30),(23,31),(24,22),(24,27),(25,27),(25,43),(26,22),(26,40),(27,28),(27,47),(28,23),(28,46),(29,23),(29,45),(30,12),(30,32),(31,11),(31,32),(32,19),(32,20),(33,25),(33,41),(34,24),(34,25),(35,26),(35,53),(36,24),(36,26),(37,21),(37,42),(38,51),(38,54),(39,49),(39,50),(40,29),(40,44),(41,10),(41,43),(42,9),(42,48),(43,15),(43,47),(44,14),(44,45),(45,17),(45,30),(46,16),(46,31),(47,13),(47,46),(48,18),(48,44),(49,34),(49,36),(50,33),(50,34),(51,35),(51,52),(52,41),(52,42),(52,53),(53,10),(53,40),(53,48),(54,33),(54,37),(54,52)],55)
[1,1,1,1,0,0,1,0,0,0,1,0] => 111100100010 => ([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,30),(24,45),(25,26),(25,27),(26,23),(26,47),(27,23),(27,48),(28,29),(28,49),(29,26),(29,50),(30,27),(30,51),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,10),(35,46),(36,44),(36,55),(37,24),(37,34),(38,28),(38,41),(39,24),(39,42),(40,28),(40,46),(41,25),(41,29),(42,25),(42,30),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,49),(47,17),(47,31),(48,18),(48,32),(49,13),(49,50),(50,14),(50,47),(51,15),(51,48),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
[1,1,1,1,0,0,1,0,0,1,0,0] => 111100100100 => ([(0,5),(0,6),(1,3),(1,27),(2,19),(3,2),(3,45),(4,30),(4,46),(5,1),(5,44),(5,50),(6,4),(6,44),(6,50),(8,16),(9,13),(10,17),(11,18),(12,14),(13,15),(14,10),(15,11),(16,12),(17,7),(18,7),(19,8),(20,22),(20,23),(21,38),(21,39),(22,10),(22,24),(23,11),(23,24),(24,17),(24,18),(25,28),(25,31),(26,8),(26,40),(27,32),(27,45),(28,29),(28,48),(29,21),(29,47),(30,28),(30,49),(31,29),(31,34),(32,26),(32,33),(33,36),(33,40),(34,21),(34,35),(35,9),(35,39),(36,37),(36,43),(37,20),(37,41),(38,20),(38,42),(39,13),(39,42),(40,16),(40,43),(41,14),(41,22),(42,15),(42,23),(43,12),(43,41),(44,25),(44,30),(45,19),(45,26),(46,31),(46,32),(46,49),(47,9),(47,37),(47,38),(48,35),(48,36),(48,47),(49,33),(49,34),(49,48),(50,25),(50,27),(50,46)],51)
[1,1,1,1,0,0,1,0,1,0,0,0] => 111100101000 => ([(0,6),(0,7),(1,3),(1,54),(2,23),(3,4),(3,40),(4,9),(5,2),(5,45),(5,56),(6,5),(6,55),(6,58),(7,1),(7,55),(7,58),(9,20),(10,17),(11,21),(12,22),(13,14),(14,18),(15,19),(16,15),(17,13),(18,11),(19,12),(20,16),(21,8),(22,8),(23,10),(24,25),(24,35),(25,33),(25,34),(26,37),(26,38),(27,25),(27,31),(28,24),(28,27),(29,24),(29,32),(30,32),(30,46),(31,34),(31,51),(32,35),(32,53),(33,26),(33,49),(34,26),(34,48),(35,33),(35,52),(36,31),(36,50),(37,12),(37,39),(38,11),(38,39),(39,21),(39,22),(40,9),(40,47),(41,27),(41,36),(42,10),(42,46),(43,36),(43,47),(44,29),(44,30),(45,28),(45,41),(46,17),(46,53),(47,20),(47,50),(48,19),(48,37),(49,18),(49,38),(50,16),(50,51),(51,15),(51,48),(52,14),(52,49),(53,13),(53,52),(54,40),(54,43),(55,44),(55,45),(55,57),(56,23),(56,41),(56,42),(56,43),(57,28),(57,29),(57,30),(57,42),(58,44),(58,54),(58,56),(58,57)],59)
[1,1,1,1,0,0,1,1,0,0,0,0] => 111100110000 => ([(0,7),(0,8),(1,4),(1,53),(2,3),(2,52),(3,10),(4,11),(5,2),(5,50),(5,54),(6,1),(6,51),(6,55),(7,5),(7,36),(7,39),(8,6),(8,36),(8,39),(10,20),(11,21),(12,22),(13,23),(14,18),(15,19),(16,14),(17,15),(18,12),(19,13),(20,16),(21,17),(22,9),(23,9),(24,28),(24,29),(25,32),(25,33),(26,24),(26,31),(27,24),(27,30),(28,25),(28,44),(29,25),(29,45),(30,28),(30,46),(31,29),(31,47),(32,12),(32,34),(33,13),(33,34),(34,22),(34,23),(35,26),(35,27),(36,50),(36,51),(37,30),(37,42),(38,31),(38,43),(39,54),(39,55),(40,26),(40,38),(41,27),(41,37),(42,16),(42,46),(43,17),(43,47),(44,18),(44,32),(45,19),(45,33),(46,14),(46,44),(47,15),(47,45),(48,20),(48,42),(49,21),(49,43),(50,35),(50,40),(51,35),(51,41),(52,10),(52,48),(53,11),(53,49),(54,40),(54,52),(54,56),(55,41),(55,53),(55,56),(56,37),(56,38),(56,48),(56,49)],57)
[1,1,1,1,0,1,0,0,0,0,1,0] => 111101000010 => ([(0,7),(0,8),(1,3),(1,39),(2,24),(3,2),(3,51),(4,6),(4,40),(4,43),(5,53),(5,54),(6,5),(6,52),(6,55),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,15),(12,22),(13,23),(14,17),(15,16),(16,14),(17,20),(18,19),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,31),(25,32),(26,33),(26,34),(27,28),(27,36),(28,30),(28,45),(29,25),(29,30),(30,31),(30,49),(31,26),(31,48),(32,26),(32,47),(33,13),(33,35),(34,12),(34,35),(35,22),(35,23),(36,10),(36,45),(37,32),(37,46),(38,25),(38,37),(39,27),(39,51),(40,41),(40,52),(41,29),(41,38),(42,28),(42,29),(43,11),(43,55),(44,27),(44,42),(45,21),(45,49),(46,17),(46,47),(47,20),(47,33),(48,19),(48,34),(49,18),(49,48),(50,14),(50,46),(51,24),(51,36),(52,38),(52,53),(53,37),(53,50),(54,16),(54,50),(55,15),(55,54),(56,43),(56,44),(56,57),(57,11),(57,41),(57,42),(58,39),(58,40),(58,44),(58,57)],59)
[1,1,1,1,0,1,0,0,0,1,0,0] => 111101000100 => ([(0,6),(0,7),(1,3),(1,38),(2,22),(3,2),(3,51),(4,5),(4,52),(4,53),(5,36),(5,37),(6,1),(6,54),(6,57),(7,4),(7,54),(7,57),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,32),(23,33),(24,25),(24,35),(25,31),(25,44),(26,27),(26,28),(27,23),(27,47),(28,23),(28,46),(29,30),(29,48),(30,28),(30,49),(31,27),(31,50),(32,11),(32,34),(33,12),(33,34),(34,20),(34,21),(35,9),(35,44),(36,29),(36,45),(37,29),(37,39),(38,24),(38,51),(39,26),(39,30),(40,25),(40,41),(41,26),(41,31),(42,10),(42,45),(43,24),(43,40),(44,19),(44,50),(45,16),(45,48),(46,17),(46,32),(47,18),(47,33),(48,13),(48,49),(49,14),(49,46),(50,15),(50,47),(51,22),(51,35),(52,37),(52,55),(53,36),(53,42),(54,43),(54,53),(54,56),(55,10),(55,39),(55,41),(56,40),(56,42),(56,55),(57,38),(57,43),(57,52),(57,56)],58)
[1,1,1,1,0,1,0,0,1,0,0,0] => 111101001000 => ([(0,6),(0,7),(1,3),(1,52),(2,23),(3,4),(3,37),(4,9),(5,2),(5,38),(5,54),(6,5),(6,55),(6,57),(7,1),(7,55),(7,57),(9,20),(10,13),(11,21),(12,22),(13,14),(14,15),(15,18),(16,19),(17,16),(18,11),(19,12),(20,17),(21,8),(22,8),(23,10),(24,32),(24,33),(25,27),(25,28),(26,30),(26,45),(27,24),(27,46),(28,24),(28,47),(29,28),(29,49),(30,27),(30,48),(31,29),(31,50),(32,11),(32,34),(33,12),(33,34),(34,21),(34,22),(35,36),(35,42),(36,31),(36,44),(37,9),(37,44),(38,41),(38,43),(39,25),(39,30),(40,25),(40,29),(41,26),(41,51),(42,31),(42,40),(43,26),(43,39),(44,20),(44,50),(45,14),(45,48),(46,18),(46,32),(47,19),(47,33),(48,15),(48,46),(49,16),(49,47),(50,17),(50,49),(51,13),(51,45),(52,36),(52,37),(53,41),(53,42),(53,56),(54,23),(54,43),(54,56),(55,35),(55,38),(55,53),(56,10),(56,39),(56,40),(56,51),(57,35),(57,52),(57,53),(57,54)],58)
[1,1,1,1,0,1,0,1,0,0,0,0] => 111101010000 => ([(0,7),(0,8),(1,6),(1,36),(2,5),(2,35),(3,22),(4,23),(5,3),(5,51),(6,4),(6,52),(7,2),(7,50),(7,56),(8,1),(8,50),(8,56),(10,18),(11,19),(12,20),(13,21),(14,16),(15,17),(16,12),(17,13),(18,14),(19,15),(20,9),(21,9),(22,10),(23,11),(24,30),(24,31),(25,26),(25,27),(26,24),(26,46),(27,24),(27,47),(28,26),(28,48),(29,27),(29,49),(30,12),(30,32),(31,13),(31,32),(32,20),(32,21),(33,10),(33,44),(34,11),(34,45),(35,41),(35,51),(36,42),(36,52),(37,25),(37,28),(38,25),(38,29),(39,28),(39,44),(40,29),(40,45),(41,33),(41,39),(42,34),(42,40),(43,37),(43,38),(44,18),(44,48),(45,19),(45,49),(46,16),(46,30),(47,17),(47,31),(48,14),(48,46),(49,15),(49,47),(50,53),(50,54),(51,22),(51,33),(52,23),(52,34),(53,41),(53,43),(53,55),(54,42),(54,43),(54,55),(55,37),(55,38),(55,39),(55,40),(56,35),(56,36),(56,53),(56,54)],57)
[1,1,1,1,0,1,1,0,0,0,0,0] => 111101100000 => ([(0,8),(0,9),(1,4),(1,44),(2,6),(2,46),(3,22),(4,23),(5,3),(5,54),(6,5),(6,53),(7,1),(7,40),(7,56),(8,2),(8,52),(8,55),(9,7),(9,52),(9,55),(11,19),(12,18),(13,20),(14,21),(15,16),(16,13),(17,14),(18,17),(19,15),(20,10),(21,10),(22,12),(23,11),(24,31),(24,33),(25,32),(25,47),(26,34),(26,35),(27,31),(27,48),(28,24),(28,32),(29,24),(29,27),(30,25),(30,28),(31,26),(31,50),(32,33),(32,51),(33,26),(33,49),(34,13),(34,38),(35,14),(35,38),(36,12),(36,48),(37,11),(37,47),(38,20),(38,21),(39,27),(39,36),(40,30),(40,42),(41,29),(41,39),(42,28),(42,29),(43,25),(43,37),(44,23),(44,37),(45,30),(45,43),(46,41),(46,53),(47,19),(47,51),(48,18),(48,50),(49,16),(49,34),(50,17),(50,35),(51,15),(51,49),(52,40),(52,45),(53,39),(53,54),(54,22),(54,36),(55,45),(55,46),(55,56),(56,41),(56,42),(56,43),(56,44)],57)
[1,1,1,1,1,0,0,0,0,0,1,0] => 111110000010 => ([(0,9),(0,10),(1,4),(1,40),(2,26),(3,2),(3,48),(4,3),(4,47),(5,8),(5,41),(5,46),(6,50),(6,54),(7,6),(7,51),(7,53),(8,7),(8,49),(8,52),(9,1),(9,39),(9,55),(10,5),(10,39),(10,55),(12,23),(13,18),(14,24),(15,25),(16,17),(17,21),(18,19),(19,20),(20,16),(21,15),(22,14),(23,22),(24,11),(25,11),(26,12),(27,31),(27,32),(28,27),(28,44),(29,35),(29,36),(30,28),(30,42),(31,15),(31,34),(32,14),(32,34),(33,12),(33,42),(34,24),(34,25),(35,30),(35,33),(36,30),(36,37),(37,28),(37,38),(38,27),(38,43),(39,13),(39,46),(40,29),(40,47),(41,29),(41,49),(42,23),(42,44),(43,21),(43,31),(44,22),(44,32),(45,17),(45,43),(46,18),(46,52),(47,35),(47,48),(48,26),(48,33),(49,36),(49,51),(50,38),(50,45),(51,37),(51,50),(52,19),(52,53),(53,20),(53,54),(54,16),(54,45),(55,13),(55,40),(55,41)],56)
[1,1,1,1,1,0,0,0,0,1,0,0] => 111110000100 => ([(0,8),(0,9),(1,4),(1,41),(2,24),(3,2),(3,50),(4,3),(4,49),(5,7),(5,37),(5,56),(6,51),(6,53),(7,6),(7,52),(7,54),(8,1),(8,38),(8,55),(9,5),(9,38),(9,55),(11,21),(12,18),(13,22),(14,23),(15,16),(16,17),(17,19),(18,15),(19,14),(20,13),(21,20),(22,10),(23,10),(24,11),(25,30),(25,31),(26,25),(26,45),(27,25),(27,46),(28,29),(28,35),(29,26),(29,42),(30,14),(30,33),(31,13),(31,33),(32,11),(32,42),(33,22),(33,23),(34,29),(34,32),(35,26),(35,27),(36,27),(36,43),(37,44),(37,52),(38,37),(38,40),(39,28),(39,34),(40,12),(40,44),(41,39),(41,49),(42,21),(42,45),(43,17),(43,46),(44,18),(44,48),(45,20),(45,31),(46,19),(46,30),(47,16),(47,43),(48,15),(48,47),(49,34),(49,50),(50,24),(50,32),(51,35),(51,36),(52,48),(52,53),(53,36),(53,47),(54,28),(54,51),(55,40),(55,41),(55,56),(56,12),(56,39),(56,54)],57)
[1,1,1,1,1,0,0,0,1,0,0,0] => 111110001000 => ([(0,7),(0,8),(1,4),(1,43),(2,22),(3,2),(3,52),(4,3),(4,51),(5,6),(5,50),(5,55),(6,37),(6,53),(7,1),(7,39),(7,54),(8,5),(8,39),(8,54),(10,19),(11,16),(12,20),(13,21),(14,15),(15,17),(16,14),(17,13),(18,12),(19,18),(20,9),(21,9),(22,10),(23,30),(23,31),(24,27),(24,44),(25,26),(25,27),(26,23),(26,47),(27,23),(27,46),(28,29),(28,48),(29,26),(29,49),(30,12),(30,33),(31,13),(31,33),(32,10),(32,44),(33,20),(33,21),(34,38),(34,40),(35,11),(35,45),(36,28),(36,45),(37,28),(37,41),(38,24),(38,32),(39,42),(39,50),(40,24),(40,25),(41,25),(41,29),(42,35),(42,36),(43,34),(43,51),(44,19),(44,46),(45,16),(45,48),(46,18),(46,30),(47,17),(47,31),(48,14),(48,49),(49,15),(49,47),(50,36),(50,37),(51,38),(51,52),(52,22),(52,32),(53,11),(53,40),(53,41),(54,42),(54,43),(54,55),(55,34),(55,35),(55,53)],56)
[1,1,1,1,1,0,0,1,0,0,0,0] => 111110010000 => ([(0,8),(0,9),(1,4),(1,44),(2,6),(2,46),(3,22),(4,23),(5,3),(5,54),(6,5),(6,53),(7,1),(7,40),(7,56),(8,2),(8,52),(8,55),(9,7),(9,52),(9,55),(11,19),(12,18),(13,20),(14,21),(15,16),(16,13),(17,14),(18,17),(19,15),(20,10),(21,10),(22,12),(23,11),(24,31),(24,33),(25,32),(25,47),(26,34),(26,35),(27,31),(27,48),(28,24),(28,32),(29,24),(29,27),(30,25),(30,28),(31,26),(31,50),(32,33),(32,51),(33,26),(33,49),(34,13),(34,38),(35,14),(35,38),(36,12),(36,48),(37,11),(37,47),(38,20),(38,21),(39,27),(39,36),(40,30),(40,42),(41,29),(41,39),(42,28),(42,29),(43,25),(43,37),(44,23),(44,37),(45,30),(45,43),(46,41),(46,53),(47,19),(47,51),(48,18),(48,50),(49,16),(49,34),(50,17),(50,35),(51,15),(51,49),(52,40),(52,45),(53,39),(53,54),(54,22),(54,36),(55,45),(55,46),(55,56),(56,41),(56,42),(56,43),(56,44)],57)
[1,1,1,1,1,0,1,0,0,0,0,0] => 111110100000 => ([(0,9),(0,10),(1,8),(1,45),(2,7),(2,44),(3,22),(4,23),(5,3),(5,53),(6,4),(6,54),(7,5),(7,51),(8,6),(8,52),(9,2),(9,50),(9,55),(10,1),(10,50),(10,55),(12,18),(13,19),(14,20),(15,21),(16,14),(17,15),(18,16),(19,17),(20,11),(21,11),(22,12),(23,13),(24,27),(24,28),(25,24),(25,33),(26,24),(26,34),(27,29),(27,48),(28,29),(28,49),(29,35),(29,36),(30,25),(30,40),(31,26),(31,41),(32,25),(32,26),(33,27),(33,46),(34,28),(34,47),(35,14),(35,39),(36,15),(36,39),(37,12),(37,46),(38,13),(38,47),(39,20),(39,21),(40,33),(40,37),(41,34),(41,38),(42,30),(42,32),(43,31),(43,32),(44,30),(44,51),(45,31),(45,52),(46,18),(46,48),(47,19),(47,49),(48,16),(48,35),(49,17),(49,36),(50,42),(50,43),(51,40),(51,53),(52,41),(52,54),(53,22),(53,37),(54,23),(54,38),(55,42),(55,43),(55,44),(55,45)],56)
[1,1,1,1,1,1,0,0,0,0,0,0] => 111111000000 => ([(0,11),(0,12),(1,10),(1,39),(2,9),(2,38),(3,22),(4,23),(5,7),(5,45),(6,8),(6,46),(7,3),(7,47),(8,4),(8,48),(9,5),(9,43),(10,6),(10,44),(11,2),(11,40),(12,1),(12,40),(14,18),(15,19),(16,20),(17,21),(18,16),(19,17),(20,13),(21,13),(22,14),(23,15),(24,28),(24,29),(25,28),(25,30),(26,24),(26,25),(27,34),(27,35),(28,41),(28,42),(29,18),(29,41),(30,19),(30,42),(31,14),(31,29),(32,15),(32,30),(33,20),(33,21),(34,26),(34,36),(35,26),(35,37),(36,24),(36,31),(37,25),(37,32),(38,27),(38,43),(39,27),(39,44),(40,38),(40,39),(41,16),(41,33),(42,17),(42,33),(43,34),(43,45),(44,35),(44,46),(45,36),(45,47),(46,37),(46,48),(47,22),(47,31),(48,23),(48,32)],49)
Map
to binary word
Description
Return the Dyck word as binary word.
Map
poset of factors
Description
The poset of factors of a binary word.
This is the partial order on the set of distinct factors of a binary word, such that $u < v$ if and only if $u$ is a factor of $v$.