



from __future__ import annotations

from math import gcd



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_  ,					SCREAMING_SNAKE_CASE_ = 2  ,					SCREAMING_SNAKE_CASE_ = 1  ,					SCREAMING_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(SCREAMING_SNAKE_CASE_  ,					SCREAMING_SNAKE_CASE_  ,					SCREAMING_SNAKE_CASE_					) -> int:
						return (pow(UpperCAmelCase__  ,					2					) + step) % modulus

			for _ in range(UpperCAmelCase__					):
						# These track the position within the cycle detection logic.
						lowercase__   					=			seed
						lowercase__   					=			seed

						while True:
									# At each iteration, the tortoise moves one step and the hare moves two.
									lowercase__   					=			rand_fn(UpperCAmelCase__  ,					UpperCAmelCase__  ,					UpperCAmelCase__					)
									lowercase__   					=			rand_fn(UpperCAmelCase__  ,					UpperCAmelCase__  ,					UpperCAmelCase__					)
									lowercase__   					=			rand_fn(UpperCAmelCase__  ,					UpperCAmelCase__  ,					UpperCAmelCase__					)

									# 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``.
									lowercase__   					=			gcd(hare - tortoise  ,					UpperCAmelCase__					)

									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.
						lowercase__   					=			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

							lowercase_						=       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""",
							)
							lowercase_						=       parser.parse_args()

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









import argparse
import json
import subprocess



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_  ,					SCREAMING_SNAKE_CASE_					):
			lowercase__   					=			[]

			lowercase__   					=			(
			    f'''curl -H "Accept: application/vnd.github+json" -H "Authorization: Bearer {token}"'''
			    " https://api.github.com/repos/huggingface/transformers/actions/runners"
			)
			lowercase__   					=			subprocess.run(SCREAMING_SNAKE_CASE_  ,					shell=SCREAMING_SNAKE_CASE_  ,					stdout=subprocess.PIPE					)
			lowercase__   					=			output.stdout.decode("utf-8"					)
			lowercase__   					=			json.loads(SCREAMING_SNAKE_CASE_					)

			lowercase__   					=			status["runners"]
			for runner in runners:
						if runner["name"] in target_runners:
									if runner["status"] == "offline":
												offline_runners.append(SCREAMING_SNAKE_CASE_					)

    # save the result so we can report them on Slack
			with open("offline_runners.txt"  ,					"w"					) as fp:
						fp.write(json.dumps(SCREAMING_SNAKE_CASE_					)					)

			if len(SCREAMING_SNAKE_CASE_					) > 0:
						lowercase__   					=			"\n".join([x["name"] for x in offline_runners]					)
						raise ValueError(f'''The following runners are offline:\n{failed}'''					)


if __name__ == "__main__":



							def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					):
										return values.split(","					)

							lowercase_						=       argparse.ArgumentParser()
							# Required parameters
							parser.add_argument(
							    """--target_runners""",
							    default=None,
							    type=list_str,
							    required=True,
							    help="""Comma-separated list of runners to check status.""",
							)

							parser.add_argument(
							    """--token""", default=None, type=str, required=True, help="""A token that has actions:read permission."""
							)
							lowercase_						=       parser.parse_args()




							get_runner_status(args.target_runners, args.token)




