Identifier
Images
[1,0] => [2,1] => ([(0,1)],2)
[1,0,1,0] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4)
[1,1,0,0] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4)
[1,0,1,0,1,0] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,0,1,1,0,0] => [3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,1,0,0,1,0] => [2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,1,0,1,0,0] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,1,1,0,0,0] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,0,1,0,1,0,1,0] => [5,1,2,3,4] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[1,0,1,0,1,1,0,0] => [4,1,2,5,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)
[1,0,1,1,0,0,1,0] => [3,1,5,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14)
[1,0,1,1,0,1,0,0] => [5,1,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12)
[1,0,1,1,1,0,0,0] => [3,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)
[1,1,0,0,1,0,1,0] => [2,5,1,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)
[1,1,0,0,1,1,0,0] => [2,4,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14)
[1,1,0,1,0,0,1,0] => [5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12)
[1,1,0,1,0,1,0,0] => [5,4,1,2,3] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,1,0,0,0] => [4,3,1,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)
[1,1,1,0,0,0,1,0] => [2,3,5,1,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)
[1,1,1,0,0,1,0,0] => [2,5,4,1,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13)
[1,1,1,0,1,0,0,0] => [5,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10)
[1,1,1,1,0,0,0,0] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[1,0,1,0,1,0,1,0,1,0] => [6,1,2,3,4,5] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[1,0,1,0,1,0,1,1,0,0] => [5,1,2,3,6,4] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18)
[1,0,1,0,1,1,0,0,1,0] => [4,1,2,6,3,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22)
[1,0,1,0,1,1,0,1,0,0] => [6,1,2,5,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18)
[1,0,1,0,1,1,1,0,0,0] => [4,1,2,5,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,17),(1,20),(2,16),(2,20),(3,8),(3,10),(3,11),(4,8),(4,9),(4,12),(5,2),(5,9),(5,11),(5,13),(6,1),(6,10),(6,12),(6,13),(8,20),(9,15),(9,20),(10,14),(10,20),(11,14),(11,16),(11,20),(12,15),(12,17),(12,20),(13,14),(13,15),(13,16),(13,17),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,7),(19,7),(20,19)],21)
[1,0,1,1,0,0,1,0,1,0] => [3,1,6,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22)
[1,0,1,1,0,0,1,1,0,0] => [3,1,5,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,15),(1,19),(2,12),(2,14),(2,19),(3,9),(3,11),(3,14),(3,16),(3,19),(4,10),(4,11),(4,15),(4,16),(4,19),(5,7),(5,9),(5,12),(5,15),(5,16),(6,7),(6,10),(6,13),(6,14),(6,16),(7,22),(7,23),(7,24),(9,17),(9,22),(9,24),(10,18),(10,23),(10,24),(11,17),(11,18),(11,22),(11,23),(12,22),(12,24),(13,23),(13,24),(14,17),(14,23),(14,24),(15,18),(15,22),(15,24),(16,17),(16,18),(16,22),(16,23),(17,20),(17,21),(18,20),(18,21),(19,22),(19,23),(20,8),(21,8),(22,20),(22,21),(23,20),(23,21),(24,21)],25)
[1,0,1,1,0,1,0,0,1,0] => [6,1,4,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22)
[1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17)
[1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,12),(1,18),(1,20),(2,11),(2,13),(2,17),(2,18),(3,14),(3,15),(3,17),(3,18),(3,20),(4,9),(4,13),(4,15),(4,20),(5,7),(5,9),(5,12),(5,17),(6,7),(6,10),(6,11),(6,14),(6,20),(7,24),(7,25),(7,26),(9,19),(9,26),(10,24),(10,25),(11,21),(11,24),(11,25),(12,24),(12,26),(13,19),(13,21),(14,16),(14,24),(14,25),(15,16),(15,19),(15,21),(16,22),(16,23),(17,19),(17,25),(17,26),(18,21),(18,24),(18,26),(19,23),(20,16),(20,21),(20,25),(20,26),(21,22),(21,23),(22,8),(23,8),(24,22),(25,22),(25,23),(26,22),(26,23)],27)
[1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26)
[1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23)
[1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20)
[1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18)
[1,1,0,0,1,0,1,0,1,0] => [2,6,1,3,4,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18)
[1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26)
[1,1,0,0,1,1,0,0,1,0] => [2,4,1,6,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,15),(1,19),(2,12),(2,14),(2,19),(3,9),(3,11),(3,14),(3,16),(3,19),(4,10),(4,11),(4,15),(4,16),(4,19),(5,7),(5,9),(5,12),(5,15),(5,16),(6,7),(6,10),(6,13),(6,14),(6,16),(7,22),(7,23),(7,24),(9,17),(9,22),(9,24),(10,18),(10,23),(10,24),(11,17),(11,18),(11,22),(11,23),(12,22),(12,24),(13,23),(13,24),(14,17),(14,23),(14,24),(15,18),(15,22),(15,24),(16,17),(16,18),(16,22),(16,23),(17,20),(17,21),(18,20),(18,21),(19,22),(19,23),(20,8),(21,8),(22,20),(22,21),(23,20),(23,21),(24,21)],25)
[1,1,0,0,1,1,0,1,0,0] => [2,6,1,5,3,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23)
[1,1,0,0,1,1,1,0,0,0] => [2,4,1,5,6,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22)
[1,1,0,1,0,0,1,0,1,0] => [6,3,1,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18)
[1,1,0,1,0,0,1,1,0,0] => [5,3,1,2,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23)
[1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17)
[1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12)
[1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21)
[1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23)
[1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26)
[1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23)
[1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21)
[1,1,1,0,0,0,1,0,1,0] => [2,3,6,1,4,5] => ([(0,3),(0,4),(0,5),(0,6),(1,17),(1,20),(2,16),(2,20),(3,8),(3,10),(3,11),(4,8),(4,9),(4,12),(5,2),(5,9),(5,11),(5,13),(6,1),(6,10),(6,12),(6,13),(8,20),(9,15),(9,20),(10,14),(10,20),(11,14),(11,16),(11,20),(12,15),(12,17),(12,20),(13,14),(13,15),(13,16),(13,17),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,7),(19,7),(20,19)],21)
[1,1,1,0,0,0,1,1,0,0] => [2,3,5,1,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22)
[1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,12),(1,18),(1,20),(2,11),(2,13),(2,17),(2,18),(3,14),(3,15),(3,17),(3,18),(3,20),(4,9),(4,13),(4,15),(4,20),(5,7),(5,9),(5,12),(5,17),(6,7),(6,10),(6,11),(6,14),(6,20),(7,24),(7,25),(7,26),(9,19),(9,26),(10,24),(10,25),(11,21),(11,24),(11,25),(12,24),(12,26),(13,19),(13,21),(14,16),(14,24),(14,25),(15,16),(15,19),(15,21),(16,22),(16,23),(17,19),(17,25),(17,26),(18,21),(18,24),(18,26),(19,23),(20,16),(20,21),(20,25),(20,26),(21,22),(21,23),(22,8),(23,8),(24,22),(25,22),(25,23),(26,22),(26,23)],27)
[1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21)
[1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26)
[1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20)
[1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23)
[1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24)
[1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18)
[1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21)
[1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24)
[1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16)
[1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[1,0,1,0,1,0,1,0,1,0,1,0] => [7,1,2,3,4,5,6] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[1,0,1,0,1,0,1,0,1,1,0,0] => [6,1,2,3,4,7,5] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23)
[1,0,1,0,1,0,1,1,0,0,1,0] => [5,1,2,3,7,4,6] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,11),(1,22),(1,26),(1,27),(2,15),(2,19),(2,23),(3,13),(3,17),(3,19),(3,23),(4,12),(4,13),(4,23),(5,12),(5,16),(5,19),(6,1),(6,9),(6,10),(6,14),(6,21),(7,6),(7,15),(7,16),(7,17),(7,23),(9,22),(9,26),(10,26),(10,27),(10,28),(11,24),(11,29),(12,25),(13,18),(13,25),(14,11),(14,22),(14,26),(14,27),(15,9),(15,20),(15,21),(16,10),(16,20),(16,25),(17,14),(17,18),(17,20),(17,21),(18,27),(18,28),(19,20),(19,25),(20,26),(20,28),(21,22),(21,27),(21,28),(22,24),(22,29),(23,18),(23,21),(23,25),(24,8),(25,28),(26,24),(26,29),(27,24),(27,29),(28,29),(29,8)],30)
[1,0,1,0,1,0,1,1,0,1,0,0] => [7,1,2,3,6,4,5] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24)
[1,0,1,0,1,0,1,1,1,0,0,0] => [5,1,2,3,6,7,4] => ([(0,4),(0,5),(0,6),(0,7),(1,21),(1,28),(2,18),(2,27),(3,1),(3,8),(3,10),(3,11),(4,2),(4,13),(4,14),(4,17),(5,12),(5,14),(5,15),(6,12),(6,13),(6,16),(7,3),(7,15),(7,16),(7,17),(8,22),(8,28),(10,21),(10,22),(10,23),(10,24),(11,21),(11,23),(11,28),(12,27),(13,19),(13,27),(14,18),(14,20),(14,27),(15,8),(15,20),(15,27),(16,11),(16,19),(16,27),(17,10),(17,18),(17,19),(17,20),(18,24),(18,28),(19,23),(19,28),(20,22),(20,24),(20,28),(21,25),(21,26),(22,25),(22,26),(23,25),(23,26),(24,25),(24,26),(25,9),(26,9),(27,28),(28,26)],29)
[1,0,1,0,1,1,0,1,0,1,0,0] => [7,1,2,6,3,4,5] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25)
[1,0,1,0,1,1,1,0,1,0,0,0] => [7,1,2,5,6,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,9),(2,12),(2,13),(2,16),(3,1),(3,14),(3,15),(3,16),(4,10),(4,11),(4,12),(4,14),(5,10),(5,11),(5,13),(5,15),(7,23),(7,29),(8,22),(8,29),(9,22),(9,23),(9,29),(10,18),(10,24),(11,17),(11,19),(11,24),(12,18),(12,19),(12,20),(13,18),(13,19),(13,21),(14,9),(14,17),(14,20),(14,24),(15,8),(15,17),(15,21),(15,24),(16,7),(16,20),(16,21),(17,22),(17,25),(17,29),(18,28),(19,25),(19,28),(20,23),(20,25),(20,28),(21,25),(21,28),(21,29),(22,26),(23,26),(23,27),(24,28),(24,29),(25,26),(25,27),(26,6),(27,6),(28,27),(29,26),(29,27)],30)
[1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,2,5,6,7,3] => ([(0,4),(0,5),(0,6),(0,7),(1,21),(1,28),(2,18),(2,27),(3,1),(3,8),(3,10),(3,11),(4,2),(4,13),(4,14),(4,17),(5,12),(5,14),(5,15),(6,12),(6,13),(6,16),(7,3),(7,15),(7,16),(7,17),(8,22),(8,28),(10,21),(10,22),(10,23),(10,24),(11,21),(11,23),(11,28),(12,27),(13,19),(13,27),(14,18),(14,20),(14,27),(15,8),(15,20),(15,27),(16,11),(16,19),(16,27),(17,10),(17,18),(17,19),(17,20),(18,24),(18,28),(19,23),(19,28),(20,22),(20,24),(20,28),(21,25),(21,26),(22,25),(22,26),(23,25),(23,26),(24,25),(24,26),(25,9),(26,9),(27,28),(28,26)],29)
[1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,7,2,4,5,6] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,11),(1,22),(1,26),(1,27),(2,15),(2,19),(2,23),(3,13),(3,17),(3,19),(3,23),(4,12),(4,13),(4,23),(5,12),(5,16),(5,19),(6,1),(6,9),(6,10),(6,14),(6,21),(7,6),(7,15),(7,16),(7,17),(7,23),(9,22),(9,26),(10,26),(10,27),(10,28),(11,24),(11,29),(12,25),(13,18),(13,25),(14,11),(14,22),(14,26),(14,27),(15,9),(15,20),(15,21),(16,10),(16,20),(16,25),(17,14),(17,18),(17,20),(17,21),(18,27),(18,28),(19,20),(19,25),(20,26),(20,28),(21,22),(21,27),(21,28),(22,24),(22,29),(23,18),(23,21),(23,25),(24,8),(25,28),(26,24),(26,29),(27,24),(27,29),(28,29),(29,8)],30)
[1,0,1,1,0,1,0,1,0,1,0,0] => [6,1,7,2,3,4,5] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23)
[1,0,1,1,1,0,1,0,1,0,0,0] => [7,1,6,5,2,3,4] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26)
[1,0,1,1,1,1,0,1,0,0,0,0] => [7,1,4,5,6,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,24),(2,8),(2,9),(2,11),(2,24),(3,12),(3,13),(3,14),(4,12),(4,15),(4,16),(5,2),(5,14),(5,15),(5,17),(6,1),(6,13),(6,16),(6,17),(8,22),(8,23),(8,29),(9,22),(9,29),(10,28),(11,23),(11,28),(11,29),(12,19),(12,20),(13,18),(13,20),(13,24),(14,9),(14,18),(14,19),(15,11),(15,19),(15,21),(16,10),(16,20),(16,21),(17,8),(17,18),(17,21),(17,24),(18,22),(18,25),(18,29),(19,25),(19,29),(20,25),(20,28),(21,23),(21,25),(21,28),(22,26),(23,26),(23,27),(24,28),(24,29),(25,26),(25,27),(26,7),(27,7),(28,27),(29,26),(29,27)],30)
[1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,4,5,6,7,2] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23)
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,7,1,3,4,5,6] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23)
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,1,5,6,7,3] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,11),(1,22),(1,26),(1,27),(2,15),(2,19),(2,23),(3,13),(3,17),(3,19),(3,23),(4,12),(4,13),(4,23),(5,12),(5,16),(5,19),(6,1),(6,9),(6,10),(6,14),(6,21),(7,6),(7,15),(7,16),(7,17),(7,23),(9,22),(9,26),(10,26),(10,27),(10,28),(11,24),(11,29),(12,25),(13,18),(13,25),(14,11),(14,22),(14,26),(14,27),(15,9),(15,20),(15,21),(16,10),(16,20),(16,25),(17,14),(17,18),(17,20),(17,21),(18,27),(18,28),(19,20),(19,25),(20,26),(20,28),(21,22),(21,27),(21,28),(22,24),(22,29),(23,18),(23,21),(23,25),(24,8),(25,28),(26,24),(26,29),(27,24),(27,29),(28,29),(29,8)],30)
[1,1,0,1,0,0,1,0,1,0,1,0] => [7,3,1,2,4,5,6] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24)
[1,1,0,1,0,1,0,0,1,0,1,0] => [7,4,1,2,3,5,6] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25)
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,7,1,2,3,4,6] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23)
[1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[1,1,0,1,0,1,0,1,1,0,0,0] => [5,6,1,2,3,7,4] => ([(0,3),(0,5),(0,6),(0,7),(1,23),(1,27),(2,14),(2,19),(3,11),(3,21),(4,1),(4,8),(4,13),(4,17),(5,12),(5,15),(5,21),(6,4),(6,15),(6,16),(6,21),(7,2),(7,11),(7,12),(7,16),(8,20),(8,23),(8,27),(9,25),(9,26),(11,19),(11,22),(12,18),(12,19),(12,22),(13,9),(13,20),(13,23),(13,24),(14,9),(14,27),(15,8),(15,17),(15,18),(16,13),(16,14),(16,18),(16,22),(17,23),(17,24),(18,20),(18,24),(18,27),(19,27),(20,25),(20,26),(21,17),(21,22),(22,24),(22,27),(23,25),(23,26),(24,25),(24,26),(25,10),(26,10),(27,26)],28)
[1,1,0,1,1,0,1,0,1,0,0,0] => [6,7,1,5,2,3,4] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27)
[1,1,0,1,1,1,1,0,0,0,0,0] => [4,3,1,5,6,7,2] => ([(0,3),(0,4),(0,5),(0,7),(1,16),(1,21),(1,26),(2,13),(2,20),(3,14),(3,19),(4,11),(4,15),(4,19),(5,1),(5,11),(5,17),(5,19),(6,2),(6,10),(6,12),(6,18),(7,6),(7,14),(7,15),(7,17),(8,27),(8,28),(10,20),(10,24),(11,21),(11,26),(12,20),(12,23),(12,24),(13,27),(13,28),(14,10),(14,22),(15,12),(15,22),(15,26),(16,8),(16,23),(16,25),(17,16),(17,18),(17,22),(17,26),(18,8),(18,13),(18,23),(18,24),(19,21),(19,22),(20,28),(21,25),(22,24),(22,25),(23,27),(23,28),(24,27),(24,28),(25,27),(26,23),(26,25),(27,9),(28,9)],29)
[1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,7,1,4,5,6] => ([(0,4),(0,5),(0,6),(0,7),(1,21),(1,28),(2,18),(2,27),(3,1),(3,8),(3,10),(3,11),(4,2),(4,13),(4,14),(4,17),(5,12),(5,14),(5,15),(6,12),(6,13),(6,16),(7,3),(7,15),(7,16),(7,17),(8,22),(8,28),(10,21),(10,22),(10,23),(10,24),(11,21),(11,23),(11,28),(12,27),(13,19),(13,27),(14,18),(14,20),(14,27),(15,8),(15,20),(15,27),(16,11),(16,19),(16,27),(17,10),(17,18),(17,19),(17,20),(18,24),(18,28),(19,23),(19,28),(20,22),(20,24),(20,28),(21,25),(21,26),(22,25),(22,26),(23,25),(23,26),(24,25),(24,26),(25,9),(26,9),(27,28),(28,26)],29)
[1,1,1,0,0,1,0,1,0,1,0,0] => [2,6,7,1,3,4,5] => ([(0,3),(0,5),(0,6),(0,7),(1,23),(1,27),(2,14),(2,19),(3,11),(3,21),(4,1),(4,8),(4,13),(4,17),(5,12),(5,15),(5,21),(6,4),(6,15),(6,16),(6,21),(7,2),(7,11),(7,12),(7,16),(8,20),(8,23),(8,27),(9,25),(9,26),(11,19),(11,22),(12,18),(12,19),(12,22),(13,9),(13,20),(13,23),(13,24),(14,9),(14,27),(15,8),(15,17),(15,18),(16,13),(16,14),(16,18),(16,22),(17,23),(17,24),(18,20),(18,24),(18,27),(19,27),(20,25),(20,26),(21,17),(21,22),(22,24),(22,27),(23,25),(23,26),(24,25),(24,26),(25,10),(26,10),(27,26)],28)
[1,1,1,0,1,0,0,0,1,0,1,0] => [7,3,4,1,2,5,6] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,9),(2,12),(2,13),(2,16),(3,1),(3,14),(3,15),(3,16),(4,10),(4,11),(4,12),(4,14),(5,10),(5,11),(5,13),(5,15),(7,23),(7,29),(8,22),(8,29),(9,22),(9,23),(9,29),(10,18),(10,24),(11,17),(11,19),(11,24),(12,18),(12,19),(12,20),(13,18),(13,19),(13,21),(14,9),(14,17),(14,20),(14,24),(15,8),(15,17),(15,21),(15,24),(16,7),(16,20),(16,21),(17,22),(17,25),(17,29),(18,28),(19,25),(19,28),(20,23),(20,25),(20,28),(21,25),(21,28),(21,29),(22,26),(23,26),(23,27),(24,28),(24,29),(25,26),(25,27),(26,6),(27,6),(28,27),(29,26),(29,27)],30)
[1,1,1,0,1,0,1,0,0,0,1,0] => [7,5,4,1,2,3,6] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26)
[1,1,1,0,1,0,1,0,0,1,0,0] => [6,7,4,1,2,3,5] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27)
[1,1,1,0,1,0,1,0,1,0,0,0] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20)
[1,1,1,0,1,0,1,1,0,0,0,0] => [6,5,4,1,2,7,3] => ([(0,3),(0,4),(0,5),(0,7),(1,16),(1,21),(1,26),(2,13),(2,20),(3,14),(3,19),(4,11),(4,15),(4,19),(5,1),(5,11),(5,17),(5,19),(6,2),(6,10),(6,12),(6,18),(7,6),(7,14),(7,15),(7,17),(8,27),(8,28),(10,20),(10,24),(11,21),(11,26),(12,20),(12,23),(12,24),(13,27),(13,28),(14,10),(14,22),(15,12),(15,22),(15,26),(16,8),(16,23),(16,25),(17,16),(17,18),(17,22),(17,26),(18,8),(18,13),(18,23),(18,24),(19,21),(19,22),(20,28),(21,25),(22,24),(22,25),(23,27),(23,28),(24,27),(24,28),(25,27),(26,23),(26,25),(27,9),(28,9)],29)
[1,1,1,1,0,0,0,0,1,0,1,0] => [2,3,4,7,1,5,6] => ([(0,4),(0,5),(0,6),(0,7),(1,21),(1,28),(2,18),(2,27),(3,1),(3,8),(3,10),(3,11),(4,2),(4,13),(4,14),(4,17),(5,12),(5,14),(5,15),(6,12),(6,13),(6,16),(7,3),(7,15),(7,16),(7,17),(8,22),(8,28),(10,21),(10,22),(10,23),(10,24),(11,21),(11,23),(11,28),(12,27),(13,19),(13,27),(14,18),(14,20),(14,27),(15,8),(15,20),(15,27),(16,11),(16,19),(16,27),(17,10),(17,18),(17,19),(17,20),(18,24),(18,28),(19,23),(19,28),(20,22),(20,24),(20,28),(21,25),(21,26),(22,25),(22,26),(23,25),(23,26),(24,25),(24,26),(25,9),(26,9),(27,28),(28,26)],29)
[1,1,1,1,0,0,0,0,1,1,0,0] => [2,3,4,6,1,7,5] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,11),(1,22),(1,26),(1,27),(2,15),(2,19),(2,23),(3,13),(3,17),(3,19),(3,23),(4,12),(4,13),(4,23),(5,12),(5,16),(5,19),(6,1),(6,9),(6,10),(6,14),(6,21),(7,6),(7,15),(7,16),(7,17),(7,23),(9,22),(9,26),(10,26),(10,27),(10,28),(11,24),(11,29),(12,25),(13,18),(13,25),(14,11),(14,22),(14,26),(14,27),(15,9),(15,20),(15,21),(16,10),(16,20),(16,25),(17,14),(17,18),(17,20),(17,21),(18,27),(18,28),(19,20),(19,25),(20,26),(20,28),(21,22),(21,27),(21,28),(22,24),(22,29),(23,18),(23,21),(23,25),(24,8),(25,28),(26,24),(26,29),(27,24),(27,29),(28,29),(29,8)],30)
[1,1,1,1,0,0,1,0,1,0,0,0] => [2,7,6,5,1,3,4] => ([(0,3),(0,4),(0,5),(0,7),(1,16),(1,21),(1,26),(2,13),(2,20),(3,14),(3,19),(4,11),(4,15),(4,19),(5,1),(5,11),(5,17),(5,19),(6,2),(6,10),(6,12),(6,18),(7,6),(7,14),(7,15),(7,17),(8,27),(8,28),(10,20),(10,24),(11,21),(11,26),(12,20),(12,23),(12,24),(13,27),(13,28),(14,10),(14,22),(15,12),(15,22),(15,26),(16,8),(16,23),(16,25),(17,16),(17,18),(17,22),(17,26),(18,8),(18,13),(18,23),(18,24),(19,21),(19,22),(20,28),(21,25),(22,24),(22,25),(23,27),(23,28),(24,27),(24,28),(25,27),(26,23),(26,25),(27,9),(28,9)],29)
[1,1,1,1,0,1,0,0,0,0,1,0] => [7,3,4,5,1,2,6] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,24),(2,8),(2,9),(2,11),(2,24),(3,12),(3,13),(3,14),(4,12),(4,15),(4,16),(5,2),(5,14),(5,15),(5,17),(6,1),(6,13),(6,16),(6,17),(8,22),(8,23),(8,29),(9,22),(9,29),(10,28),(11,23),(11,28),(11,29),(12,19),(12,20),(13,18),(13,20),(13,24),(14,9),(14,18),(14,19),(15,11),(15,19),(15,21),(16,10),(16,20),(16,21),(17,8),(17,18),(17,21),(17,24),(18,22),(18,25),(18,29),(19,25),(19,29),(20,25),(20,28),(21,23),(21,25),(21,28),(22,26),(23,26),(23,27),(24,28),(24,29),(25,26),(25,27),(26,7),(27,7),(28,27),(29,26),(29,27)],30)
[1,1,1,1,0,1,0,1,0,0,0,0] => [7,6,4,5,1,2,3] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21)
[1,1,1,1,1,0,0,0,0,0,1,0] => [2,3,4,5,7,1,6] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23)
[1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,4,7,6,1,5] => ([(0,3),(0,4),(0,5),(0,7),(1,16),(1,21),(1,26),(2,13),(2,20),(3,14),(3,19),(4,11),(4,15),(4,19),(5,1),(5,11),(5,17),(5,19),(6,2),(6,10),(6,12),(6,18),(7,6),(7,14),(7,15),(7,17),(8,27),(8,28),(10,20),(10,24),(11,21),(11,26),(12,20),(12,23),(12,24),(13,27),(13,28),(14,10),(14,22),(15,12),(15,22),(15,26),(16,8),(16,23),(16,25),(17,16),(17,18),(17,22),(17,26),(18,8),(18,13),(18,23),(18,24),(19,21),(19,22),(20,28),(21,25),(22,24),(22,25),(23,27),(23,28),(24,27),(24,28),(25,27),(26,23),(26,25),(27,9),(28,9)],29)
[1,1,1,1,1,0,1,0,0,0,0,0] => [7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22)
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Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.
Map
pattern poset
Description
The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
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