"""simple docstring"""




import os
from shutil import copyfile
from typing import List, Optional, Tuple

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
			from .tokenization_pegasus import PegasusTokenizer
else:
			__lowerCAmelCase    :							str													=						None


__lowerCAmelCase    :							Union[str, Any]													=						logging.get_logger(__name__)


__lowerCAmelCase    :							str													=						"▁"

__lowerCAmelCase    :							List[Any]													=						{"vocab_file": "spiece.model", "tokenizer_file": "tokenizer.json"}

__lowerCAmelCase    :							str													=						{
    "vocab_file": {"google/pegasus-xsum": "https://huggingface.co/google/pegasus-xsum/resolve/main/spiece.model"},
    "tokenizer_file": {
        "google/pegasus-xsum": "https://huggingface.co/google/pegasus-xsum/resolve/main/tokenizer.json"
    },
}

__lowerCAmelCase    :							Dict													=						{
    "google/pegasus-xsum": 5_12,
}

class       a_      (     __UpperCamelCase			):
					UpperCamelCase_ :	int			=    VOCAB_FILES_NAMES
					UpperCamelCase_ :	List[Any]			=    PRETRAINED_VOCAB_FILES_MAP
					UpperCamelCase_ :	str			=    PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
					UpperCamelCase_ :	Dict			=    PegasusTokenizer
					UpperCamelCase_ :	Any			=    ["input_ids", "attention_mask"]




					def __init__(	self						:     Optional[int]  ,						snake_case__						:     Tuple=None  ,						snake_case__						:     List[str]=None  ,						snake_case__						:     int="<pad>"  ,						snake_case__						:     Dict="</s>"  ,						snake_case__						:     List[str]="<unk>"  ,						snake_case__						:     int="<mask_2>"  ,						snake_case__						:     Tuple="<mask_1>"  ,						snake_case__						:     Optional[Any]=None  ,						snake_case__						:     str=103  ,						**snake_case__						:     List[str]  ,						):
							lowerCAmelCase__        =   offset

							if additional_special_tokens is not None:
									if not isinstance(snake_case__  ,						snake_case__     ):
											raise TypeError(
											    F"""additional_special_tokens should be of type {type(snake_case__     )}, but is"""
											    F""" {type(snake_case__     )}"""     )

									lowerCAmelCase__        =   (
									    ([mask_token_sent] + additional_special_tokens)
									    if mask_token_sent not in additional_special_tokens and mask_token_sent is not None
									    else additional_special_tokens
									)
									# fill additional tokens with ..., <unk_token_102> in case not all additional tokens are already taken
									additional_special_tokens_extended += [
									    F"""<unk_{i}>""" for i in range(len(snake_case__     )  ,						self.offset - 1     )
									]

									if len(set(snake_case__     )     ) != len(snake_case__     ):
											raise ValueError(
											    """Please make sure that the provided additional_special_tokens do not contain an incorrectly"""
											    F""" shifted list of <unk_x> tokens. Found {additional_special_tokens_extended}."""     )
									lowerCAmelCase__        =   additional_special_tokens_extended
							else:
									lowerCAmelCase__        =   [mask_token_sent] if mask_token_sent is not None else []
									additional_special_tokens += [F"""<unk_{i}>""" for i in range(2  ,						self.offset     )]

							super().__init__(
							    snake_case__  ,						tokenizer_file=snake_case__  ,						pad_token=snake_case__  ,						eos_token=snake_case__  ,						unk_token=snake_case__  ,						mask_token=snake_case__  ,						mask_token_sent=snake_case__  ,						offset=snake_case__  ,						additional_special_tokens=snake_case__  ,						**snake_case__  ,						)
							lowerCAmelCase__        =   vocab_file
							lowerCAmelCase__        =   False if not self.vocab_file else True




					def 						_SCREAMING_SNAKE_CASE						(	self						:     Optional[int]  ,						snake_case__						:     str     ):
							lowerCAmelCase__        =   set(self.all_special_ids     )  # call it once instead of inside list comp
							all_special_ids.remove(self.unk_token_id     )  # <unk> is only sometimes special

							if all_special_ids != set(range(len(self.additional_special_tokens     ) + 3     )     ):
									raise ValueError(
									    """There should be 3 special tokens: mask_token, pad_token, and eos_token +"""
									    F""" {len(self.additional_special_tokens     )} additional_special_tokens, but got {all_special_ids}"""     )

							return [1 if x in all_special_ids else 0 for x in seq]




					def 						_SCREAMING_SNAKE_CASE						(	self						:     Optional[Any]  ,						snake_case__						:     List  ,						snake_case__						:     Optional[List] = None  ,						snake_case__						:     bool = False     ):
							if already_has_special_tokens:
									return self._special_token_mask(snake_case__     )
							elif token_ids_a is None:
									return self._special_token_mask(snake_case__     ) + [1]
							else:
									return self._special_token_mask(token_ids_a + token_ids_a     ) + [1]




					def 						_SCREAMING_SNAKE_CASE						(	self						:     Dict  ,						snake_case__						:     str  ,						snake_case__						:     Any=None     ):
							if token_ids_a is None:
									return token_ids_a + [self.eos_token_id]
							# We don't expect to process pairs, but leave the pair logic for API consistency
							return token_ids_a + token_ids_a + [self.eos_token_id]




					def 						_SCREAMING_SNAKE_CASE						(	self						:     Union[str, Any]  ,						snake_case__						:     str  ,						snake_case__						:     Optional[str] = None     ):
							if not self.can_save_slow_tokenizer:
									raise ValueError(
									    """Your fast tokenizer does not have the necessary information to save the vocabulary for a slow """
									    """tokenizer."""     )

							if not os.path.isdir(snake_case__     ):
									logger.error(F"""Vocabulary path ({save_directory}) should be a directory"""     )
									return
							lowerCAmelCase__        =   os.path.join(
							    snake_case__  ,						(filename_prefix + """-""" if filename_prefix else """""") + VOCAB_FILES_NAMES["""vocab_file"""]     )

							if os.path.abspath(self.vocab_file     ) != os.path.abspath(snake_case__     ):
									copyfile(self.vocab_file  ,						snake_case__     )

							return (out_vocab_file,)





"""simple docstring"""




from __future__ import annotations

from math import gcd







def 							_UpperCAmelCase		(       lowerCamelCase__			,  lowerCamelCase__ = 2			,  lowerCamelCase__ = 1			,  lowerCamelCase__ = 3			,  ):





		"""simple docstring"""




		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(lowerCamelCase__			,  lowerCamelCase__			,  lowerCamelCase__     ) -> int:
				return (pow(lowerCamelCase__			,  2     ) + step) % modulus

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

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

			__lowerCAmelCase    :							Union[str, 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",
			)
			__lowerCAmelCase    :							List[str]													=						parser.parse_args()

			__lowerCAmelCase    :							Dict													=						pollard_rho(args.num, attempts=args.attempts)
			if divisor is None:
						print(F"{args.num} is probably prime")
			else:
						__lowerCAmelCase    :							List[str]													=						args.num // divisor
						print(F"{args.num} = {divisor} * {quotient}")




