



def       UpperCAmelCase__	(							__snake_case							)				->	int:
  if number != int(__snake_case							):
    raise ValueError('''factorial() only accepts integral values'''							)
  if number < 0:
    raise ValueError('''factorial() not defined for negative values'''							)
  _A          =      1
  for i in range(1  ,			number + 1							):
    value *= i
  return value




def       UpperCAmelCase__	(							__snake_case							)				->	int:
  if not isinstance(__snake_case  ,			__snake_case							):
    raise ValueError('''factorial() only accepts integral values'''							)
  if n < 0:
    raise ValueError('''factorial() not defined for negative values'''							)
  return 1 if n == 0 or n == 1 else n * factorial(n - 1							)


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    __lowerCamelCase								=   int(input("""Enter a positive integer: """).strip() or 0)
    print(f'''factorial{n} is {factorial(n)}''')




import math
from timeit import timeit




def       UpperCAmelCase__	(							__snake_case							)				->	int:
  _A          =      0
  _A          =      abs(__snake_case							)
  while True:
    _A          =      n // 10
    digits += 1
    if n == 0:
      break
  return digits




def       UpperCAmelCase__	(							__snake_case							)				->	int:
  return 1 if n == 0 else math.floor(math.log(abs(__snake_case							)  ,			10							) + 1							)




def       UpperCAmelCase__	(							__snake_case							)				->	int:
  return len(str(abs(__snake_case							)							)							)




def       UpperCAmelCase__	(							)				->	None:
  from collections.abc import Callable

  def benchmark_a_function(__snake_case  ,			__snake_case							) -> None:
    _A          =      F'''{func.__name__}({value})'''
    _A          =      timeit(F'''__main__.{call}'''  ,			setup='''import __main__'''							)
    print(F'''{call}: {func(__snake_case							)} -- {timing} seconds'''							)

  for value in (262_144, 1_125_899_906_842_624, 1_267_650_600_228_229_401_496_703_205_376):
    for func in (num_digits, num_digits_fast, num_digits_faster):
      benchmark_a_function(__snake_case  ,			__snake_case							)
    print()


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    benchmark()