

'''simple docstring'''

from __future__ import annotations

from math import gcd





def  A_	(			snake_case   ,							snake_case = 2   ,							snake_case = 1   ,							snake_case = 3   ,							):
  # A value less than 2 can cause an infinite loop in the algorithm.
  if num < 2:
    raise ValueError("The input value cannot be less than 2"			)

  # Because of the relationship between ``f(f(x))`` and ``f(x)``, this
  # algorithm struggles to find factors that are divisible by two.
  # As a workaround, we specifically check for two and even inputs.
  #   See: https://math.stackexchange.com/a/2856214/165820
  if num > 2 and num % 2 == 0:
    return 2

  # Pollard's Rho algorithm requires a function that returns pseudorandom
  # values between 0 <= X < ``num``.  It doesn't need to be random in the
  # sense that the output value is cryptographically secure or difficult
  # to calculate, it only needs to be random in the sense that all output
  # values should be equally likely to appear.
  # For this reason, Pollard suggested using ``f(x) = (x**2 - 1) % num``
  # However, the success of Pollard's algorithm isn't guaranteed and is
  # determined in part by the initial seed and the chosen random function.
  # To make retries easier, we will instead use ``f(x) = (x**2 + C) % num``
  # where ``C`` is a value that we can modify between each attempt.
  def rand_fn(snake_case   ,							snake_case   ,							snake_case			) -> int:
    return (pow(lowerCAmelCase__   ,							2			) + step) % modulus

  for _ in range(lowerCAmelCase__			):
    # These track the position within the cycle detection logic.
    SCREAMING_SNAKE_CASE:Union[str, Any]       =       seed
    SCREAMING_SNAKE_CASE:Union[str, Any]       =       seed

    while True:
      # At each iteration, the tortoise moves one step and the hare moves two.
      SCREAMING_SNAKE_CASE:Union[str, Any]       =       rand_fn(lowerCAmelCase__   ,							lowerCAmelCase__   ,							lowerCAmelCase__			)
      SCREAMING_SNAKE_CASE:List[Any]       =       rand_fn(lowerCAmelCase__   ,							lowerCAmelCase__   ,							lowerCAmelCase__			)
      SCREAMING_SNAKE_CASE:Any       =       rand_fn(lowerCAmelCase__   ,							lowerCAmelCase__   ,							lowerCAmelCase__			)

      # At some point both the tortoise and the hare will enter a cycle whose
      # length ``p`` is a divisor of ``num``.  Once in that cycle, at some point
      # the tortoise and hare will end up on the same value modulo ``p``.
      # We can detect when this happens because the position difference between
      # the tortoise and the hare will share a common divisor with ``num``.
      SCREAMING_SNAKE_CASE:Optional[Any]       =       gcd(hare - tortoise   ,							lowerCAmelCase__			)

      if divisor == 1:
        # No common divisor yet, just keep searching.
        continue
      else:
        # We found a common divisor!
        if divisor == num:
          # Unfortunately, the divisor is ``num`` itself and is useless.
          break
        else:
          # The divisor is a nontrivial factor of ``num``!
          return divisor

        # If we made it here, then this attempt failed.
        # We need to pick a new starting seed for the tortoise and hare
        # in addition to a new step value for the random function.
        # To keep this example implementation deterministic, the
        # new values will be generated based on currently available
        # values instead of using something like ``random.randint``.

        # We can use the hare's position as the new seed.
        # This is actually what Richard Brent's the "optimized" variant does.
    SCREAMING_SNAKE_CASE:str       =       hare

    # The new step value for the random function can just be incremented.
    # At first the results will be similar to what the old function would
    # have produced, but the value will quickly diverge after a bit.
    step += 1

  # We haven't found a divisor within the requested number of attempts.
  # We were unlucky or ``num`` itself is actually prime.
  return None


if __name__ == "__main__":
    import argparse

    A_							    =				argparse.ArgumentParser()
    parser.add_argument(
        "num",
        type=int,
        help="The value to find a divisor of",
    )
    parser.add_argument(
        "--attempts",
        type=int,
        default=3,
        help="The number of attempts before giving up",
    )
    A_							    =				parser.parse_args()

    A_							    =				pollard_rho(args.num, attempts=args.attempts)
    if divisor is None:
        print(f'''{args.num} is probably prime''')
    else:
        A_							    =				args.num // divisor
        print(f'''{args.num} = {divisor} * {quotient}''')













"""simple docstring"""






import os






def      lowercase__ (					)    ->			Optional[Any]:



			'''simple docstring'''
			with open(os.path.dirname(lowerCAmelCase__			) + "/p022_names.txt"			) as file:
						a__  :	Optional[int]		 =			str(file.readlines()[0]			)
						a__  :	Optional[int]		 =			names.replace("\""							,			""			).split(","			)

			names.sort()

			a__  :	int		 =			0
			a__  :	Dict		 =			0

			for i, name in enumerate(lowerCAmelCase__			):
						for letter in name:
									name_score += ord(lowerCAmelCase__			) - 6_4

						total_score += (i + 1) * name_score
						a__  :	Tuple		 =			0
			return total_score


if __name__ == "__main__":
		print(solution())