


"""simple docstring"""





from collections import defaultdict





def     lowercase__	(  lowerCamelCase     :  int = 5				)					->     int:
  lowerCAmelCase__    :    str								=					defaultdict(lowerCamelCase				)
  lowerCAmelCase__    :    Dict								=					0

  while True:
    lowerCAmelCase__    :    str								=					get_digits(lowerCamelCase				)
    freqs[digits].append(lowerCamelCase				)

    if len(freqs[digits]				) == max_base:
      lowerCAmelCase__    :    str								=					freqs[digits][0] ** 3
      return base

    num += 1





def     lowercase__	(  lowerCamelCase     :  int				)					->     str:
  return "".join(sorted(str(num**3				)				)				)


if __name__ == "__main__":
   print(f"""{solution() = }""")




"""simple docstring"""





def     lowercase__	(  lowerCamelCase     :  int				)					->     int:
  if not isinstance(lowerCamelCase				,	lowerCamelCase				):
    raise TypeError("recursive_lucas_number accepts only integer arguments."				)
  if n_th_number == 0:
    return 2
  if n_th_number == 1:
    return 1

  return recursive_lucas_number(n_th_number - 1				) + recursive_lucas_number(
      n_th_number - 2				)





def     lowercase__	(  lowerCamelCase     :  int				)					->     int:
  if not isinstance(lowerCamelCase				,	lowerCamelCase				):
    raise TypeError("dynamic_lucas_number accepts only integer arguments."				)
  lowerCAmelCase__				,		lowerCAmelCase__    :    str								=					2, 1
  for _ in range(lowerCamelCase				):
    lowerCAmelCase__				,		lowerCAmelCase__    :    str								=					b, a + b
  return a


if __name__ == "__main__":
   from doctest import testmod

   testmod()
   __UpperCAmelCase    				=      int(input("Enter the number of terms in lucas series:\n").strip())
   print("Using recursive function to calculate lucas series:")
   print(" ".join(str(recursive_lucas_number(i)) for i in range(n)))
   print("\nUsing dynamic function to calculate lucas series:")
   print(" ".join(str(dynamic_lucas_number(i)) for i in range(n)))
