






from __future__ import annotations

from math import gcd

def      lowerCAmelCase__	(    _a       :			int  ,      _a       :			int = 2  ,      _a       :			int = 1  ,      _a       :			int = 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(_a       :			int  ,      _a       :			int  ,      _a       :			int    ) -> int:
				return (pow(_a  ,      2    ) + step) % modulus

		for _ in range(_a    ):
				# These track the position within the cycle detection logic.
				snake_case_				:							Optional[int]						 =       seed
				snake_case_				:							str						 =       seed

				while True:
						# At each iteration, the tortoise moves one step and the hare moves two.
						snake_case_				:							List[Any]						 =       rand_fn(_a  ,      _a  ,      _a    )
						snake_case_				:							Tuple						 =       rand_fn(_a  ,      _a  ,      _a    )
						snake_case_				:							Tuple						 =       rand_fn(_a  ,      _a  ,      _a    )

						# 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``.
						snake_case_				:							str						 =       gcd(hare - tortoise  ,      _a    )

						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.
				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

							lowercase  :							List[Any]			  =    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  :							List[str]			  =    parser.parse_args()

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








import importlib
import json
import os
import sys
import tempfile
import unittest
from pathlib import Path

import transformers
import transformers.models.auto
from transformers.models.auto.configuration_auto import CONFIG_MAPPING, AutoConfig
from transformers.models.bert.configuration_bert import BertConfig
from transformers.models.roberta.configuration_roberta import RobertaConfig
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, get_tests_dir


sys.path.append(str(Path(__file__).parent.parent.parent.parent / '''utils'''))

from test_module.custom_configuration import CustomConfig  # noqa E402


lowercase  :							Optional[Any]			  =    get_tests_dir('''fixtures/dummy-config.json''')




class 		UpperCAmelCase_						(	unittest.TestCase					):


						'''simple docstring'''




						def       _lowerCAmelCase       (	self				) ->				int:
								snake_case_				:							str						 =       0






						def       _lowerCAmelCase       (	self				) ->				str:
								self.assertIsNotNone(transformers.models.auto.__spec__				)
								self.assertIsNotNone(importlib.util.find_spec("transformers.models.auto"				)				)






						def       _lowerCAmelCase       (	self				) ->				int:
								snake_case_				:							List[Any]						 =       AutoConfig.from_pretrained("bert-base-uncased"				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Optional[int]:
								snake_case_				:							List[str]						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				str:
								snake_case_				:							str						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Dict:
								snake_case_				:							Tuple						 =       AutoConfig.for_model("roberta"				)
								self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Tuple:
								with tempfile.TemporaryDirectory() as tmp_dir:
										# This model name contains bert and roberta, but roberta ends up being picked.
										snake_case_				:							str						 =       os.path.join(_SCREAMING_SNAKE_CASE		,				"fake-roberta"				)
										os.makedirs(_SCREAMING_SNAKE_CASE		,				exist_ok=_SCREAMING_SNAKE_CASE				)
										with open(os.path.join(_SCREAMING_SNAKE_CASE		,				"config.json"				)		,				"w"				) as f:
												f.write(json.dumps({}				)				)
										snake_case_				:							int						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
										self.assertEqual(type(_SCREAMING_SNAKE_CASE				)		,				_SCREAMING_SNAKE_CASE				)






						def       _lowerCAmelCase       (	self				) ->				Dict:
								try:
										AutoConfig.register("custom"		,				_SCREAMING_SNAKE_CASE				)
										# Wrong model type will raise an error
										with self.assertRaises(_SCREAMING_SNAKE_CASE				):
												AutoConfig.register("model"		,				_SCREAMING_SNAKE_CASE				)
										# Trying to register something existing in the Transformers library will raise an error
										with self.assertRaises(_SCREAMING_SNAKE_CASE				):
												AutoConfig.register("bert"		,				_SCREAMING_SNAKE_CASE				)

										# Now that the config is registered, it can be used as any other config with the auto-API
										snake_case_				:							Union[str, Any]						 =       CustomConfig()
										with tempfile.TemporaryDirectory() as tmp_dir:
												config.save_pretrained(_SCREAMING_SNAKE_CASE				)
												snake_case_				:							int						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE				)
												self.assertIsInstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE				)

								finally:
										if "custom" in CONFIG_MAPPING._extra_content:
												del CONFIG_MAPPING._extra_content["custom"]






						def       _lowerCAmelCase       (	self				) ->				int:
								with self.assertRaisesRegex(
								    _SCREAMING_SNAKE_CASE		,				"bert-base is not a local folder and is not a valid model identifier"				):
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained("bert-base"				)






						def       _lowerCAmelCase       (	self				) ->				Tuple:
								with self.assertRaisesRegex(
								    _SCREAMING_SNAKE_CASE		,				r"aaaaaa is not a valid git identifier \(branch name, tag name or commit id\)"				):
										snake_case_				:							List[Any]						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		,				revision="aaaaaa"				)






						def       _lowerCAmelCase       (	self				) ->				str:
								with self.assertRaisesRegex(
								    _SCREAMING_SNAKE_CASE		,				"hf-internal-testing/no-config-test-repo does not appear to have a file named config.json."		,				):
										snake_case_				:							Dict						 =       AutoConfig.from_pretrained("hf-internal-testing/no-config-test-repo"				)






						def       _lowerCAmelCase       (	self				) ->				Optional[int]:
								# If remote code is not set, we will time out when asking whether to load the model.
								with self.assertRaises(_SCREAMING_SNAKE_CASE				):
										snake_case_				:							Tuple						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"				)
								# If remote code is disabled, we can't load this config.
								with self.assertRaises(_SCREAMING_SNAKE_CASE				):
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)

								snake_case_				:							List[Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
								self.assertEqual(config.__class__.__name__		,				"NewModelConfig"				)

								# Test config can be reloaded.
								with tempfile.TemporaryDirectory() as tmp_dir:
										config.save_pretrained(_SCREAMING_SNAKE_CASE				)
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
								self.assertEqual(reloaded_config.__class__.__name__		,				"NewModelConfig"				)






						def       _lowerCAmelCase       (	self				) ->				Optional[Any]:




								class 		UpperCAmelCase_						(	SCREAMING_SNAKE_CASE__					):


														'''simple docstring'''




														A     :   List[Any]						=					'new-model'

								try:
										AutoConfig.register("new-model"		,				_SCREAMING_SNAKE_CASE				)
										# If remote code is not set, the default is to use local
										snake_case_				:							Union[str, Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"				)
										self.assertEqual(config.__class__.__name__		,				"NewModelConfigLocal"				)

										# If remote code is disabled, we load the local one.
										snake_case_				:							Optional[Any]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
										self.assertEqual(config.__class__.__name__		,				"NewModelConfigLocal"				)

										# If remote is enabled, we load from the Hub
										snake_case_				:							List[str]						 =       AutoConfig.from_pretrained("hf-internal-testing/test_dynamic_model"		,				trust_remote_code=_SCREAMING_SNAKE_CASE				)
										self.assertEqual(config.__class__.__name__		,				"NewModelConfig"				)

								finally:
										if "new-model" in CONFIG_MAPPING._extra_content:
												del CONFIG_MAPPING._extra_content["new-model"]
