



"""simple docstring"""







import math

def 							UpperCamelCase_       (       lowerCAmelCase__ :							int		)		->  list[int]:

  """simple docstring"""




  if not isinstance(lowerCAmelCase__       ,  lowerCAmelCase__		):
    lowerCAmelCase_  :							Dict								=					f"Input value of [number={number}] must be an integer"
    raise TypeError(lowerCAmelCase__		)
  if number < 1:
    lowerCAmelCase_  :							Tuple								=					f"Input value of [number={number}] must be a positive integer"
    raise ValueError(lowerCAmelCase__		)
  lowerCAmelCase_  :							Tuple								=					[number]
  while number != 1:
    if number % 2 == 0:
      lowerCAmelCase_  :							int								=					math.floor(math.sqrt(lowerCAmelCase__		)		)
    else:
      lowerCAmelCase_  :							Optional[int]								=					math.floor(
          math.sqrt(lowerCAmelCase__		) * math.sqrt(lowerCAmelCase__		) * math.sqrt(lowerCAmelCase__		)		)
    sequence.append(lowerCAmelCase__		)
  return sequence


if __name__ == "__main__":
     import doctest

     doctest.testmod()










"""simple docstring"""







from .stack import Stack

def 							UpperCamelCase_       (       lowerCAmelCase__ :							str		)		->  bool:

  """simple docstring"""




  lowerCAmelCase_  :							Stack[str]								=					Stack()
  lowerCAmelCase_  :							List[str]								=					{'(': ')', '[': ']', '{': '}'}
  for bracket in parentheses:
    if bracket in bracket_pairs:
      stack.push(lowerCAmelCase__		)
    elif bracket in (")", "]", "}"):
      if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
        return False
  return stack.is_empty()


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

     testmod()

     lowercase__						:							List[str]        =      ["""((()))""", """((())""", """(()))"""]
     print("""Balanced parentheses demonstration:\n""")
     for example in examples:
          lowercase__						:							List[Any]        =      """""" if balanced_parentheses(example) else """not """
          print(f'{example} is {not_str}balanced')





