damm = (
    (0, 3, 1, 7, 5, 9, 8, 6, 4, 2),
    (7, 0, 9, 2, 1, 5, 4, 8, 6, 3),
    (4, 2, 0, 6, 8, 7, 1, 3, 5, 9),
    (1, 7, 5, 0, 9, 8, 3, 4, 2, 6),
    (6, 1, 2, 3, 0, 4, 5, 9, 7, 8),
    (3, 6, 7, 4, 2, 0, 9, 5, 8, 1),
    (5, 8, 6, 9, 7, 2, 0, 1, 3, 4),
    (8, 9, 4, 5, 3, 6, 2, 0, 1, 7),
    (9, 4, 3, 8, 6, 1, 7, 2, 0, 5),
    (2, 5, 8, 1, 4, 3, 6, 7, 9, 0)
)

def is_valid(num: int) -> bool:
  temp = 0
  for d in str(num):
    temp = damm[temp][int(d)]
  return temp == 0

print("Valid numbers between 5700 and 5800 are:")
for i in range(5700, 5801):
  if is_valid(i):
    print(i, end=' ')
print("")