





import json
import os
from functools import lru_cache
from typing import List, Optional, Tuple

import regex as re

from ...tokenization_utils import AddedToken, PreTrainedTokenizer
from ...utils import logging


lowercase__   :				Optional[int]      =   logging.get_logger(__name__)


lowercase__   :				List[Any]      =   {'''vocab_file''': '''vocab.json''', '''merges_file''': '''merges.txt'''}

lowercase__   :				Optional[int]      =   {
    '''vocab_file''': {
        '''allenai/longformer-base-4096''': '''https://huggingface.co/allenai/longformer-base-4096/resolve/main/vocab.json''',
        '''allenai/longformer-large-4096''': (
            '''https://huggingface.co/allenai/longformer-large-4096/resolve/main/vocab.json'''
        ),
        '''allenai/longformer-large-4096-finetuned-triviaqa''': (
            '''https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/vocab.json'''
        ),
        '''allenai/longformer-base-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/vocab.json'''
        ),
        '''allenai/longformer-large-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/vocab.json'''
        ),
    },
    '''merges_file''': {
        '''allenai/longformer-base-4096''': '''https://huggingface.co/allenai/longformer-base-4096/resolve/main/merges.txt''',
        '''allenai/longformer-large-4096''': (
            '''https://huggingface.co/allenai/longformer-large-4096/resolve/main/merges.txt'''
        ),
        '''allenai/longformer-large-4096-finetuned-triviaqa''': (
            '''https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/merges.txt'''
        ),
        '''allenai/longformer-base-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/merges.txt'''
        ),
        '''allenai/longformer-large-4096-extra.pos.embd.only''': (
            '''https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/merges.txt'''
        ),
    },
}

lowercase__   :				int      =   {
    '''allenai/longformer-base-4096''': 40_96,
    '''allenai/longformer-large-4096''': 40_96,
    '''allenai/longformer-large-4096-finetuned-triviaqa''': 40_96,
    '''allenai/longformer-base-4096-extra.pos.embd.only''': 40_96,
    '''allenai/longformer-large-4096-extra.pos.embd.only''': 40_96,
}






@lru_cache()
# Copied from transformers.models.roberta.tokenization_roberta.bytes_to_unicode
def 	_lowerCAmelCase      (  )					->					List[str]:
     __A						:			str								=	(
         list(range(ord('!'      )			,							ord('~'      ) + 1      )      ) + list(range(ord('¡'      )			,							ord('¬'      ) + 1      )      ) + list(range(ord('®'      )			,							ord('ÿ'      ) + 1      )      )
     )
     __A						:			Union[str, Any]								=	bs[:]
     __A						:			int								=	0
     for b in range(2**8      ):
          if b not in bs:
               bs.append(__snake_case      )
               cs.append(2**8 + n      )
               n += 1
     __A						:			Tuple								=	[chr(__snake_case      ) for n in cs]
     return dict(zip(__snake_case			,							__snake_case      )      )






def 	_lowerCAmelCase      (  __snake_case  :			Tuple      )					->					int:
     __A						:			Optional[Any]								=	set()
     __A						:			Dict								=	word[0]
     for char in word[1:]:
          pairs.add((prev_char, char)      )
          __A						:			str								=	char
     return pairs







class 			SCREAMING_SNAKE_CASE   (a__							):
     lowerCAmelCase		      =	VOCAB_FILES_NAMES
     lowerCAmelCase		      =	PRETRAINED_VOCAB_FILES_MAP
     lowerCAmelCase		      =	PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
     lowerCAmelCase		      =	['''input_ids''', '''attention_mask''']


     def __init__(						self						,     _UpperCAmelCase						,     _UpperCAmelCase						,     _UpperCAmelCase="replace"						,     _UpperCAmelCase="<s>"						,     _UpperCAmelCase="</s>"						,     _UpperCAmelCase="</s>"						,     _UpperCAmelCase="<s>"						,     _UpperCAmelCase="<unk>"						,     _UpperCAmelCase="<pad>"						,     _UpperCAmelCase="<mask>"						,     _UpperCAmelCase=False						,     **_UpperCAmelCase						,     ):

          '''simple docstring'''






          __A						:			Union[str, Any]								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else bos_token
          __A						:			Union[str, Any]								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else eos_token
          __A						:			Dict								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else sep_token
          __A						:			int								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else cls_token
          __A						:			Tuple								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else unk_token
          __A						:			str								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else pad_token

          # Mask token behave like a normal word, i.e. include the space before it
          __A						:			List[Any]								=	AddedToken(_UpperCAmelCase						,     lstrip=_UpperCAmelCase						,     rstrip=_UpperCAmelCase) if isinstance(_UpperCAmelCase						,     _UpperCAmelCase) else mask_token

          super().__init__(
              errors=_UpperCAmelCase						,     bos_token=_UpperCAmelCase						,     eos_token=_UpperCAmelCase						,     unk_token=_UpperCAmelCase						,     sep_token=_UpperCAmelCase						,     cls_token=_UpperCAmelCase						,     pad_token=_UpperCAmelCase						,     mask_token=_UpperCAmelCase						,     add_prefix_space=_UpperCAmelCase						,     **_UpperCAmelCase						,     )

          with open(_UpperCAmelCase						,     encoding='utf-8') as vocab_handle:
               __A						:			Dict								=	json.load(_UpperCAmelCase)
          __A						:			Dict								=	{v: k for k, v in self.encoder.items()}
          __A						:			Tuple								=	errors  # how to handle errors in decoding
          __A						:			Any								=	bytes_to_unicode()
          __A						:			Optional[Any]								=	{v: k for k, v in self.byte_encoder.items()}
          with open(_UpperCAmelCase						,     encoding='utf-8') as merges_handle:
               __A						:			Union[str, Any]								=	merges_handle.read().split('\n')[1:-1]
          __A						:			Union[str, Any]								=	[tuple(merge.split()) for merge in bpe_merges]
          __A						:			List[str]								=	dict(zip(_UpperCAmelCase						,     range(len(_UpperCAmelCase))))
          __A						:			List[str]								=	{}
          __A						:			Tuple								=	add_prefix_space

          # Should have added re.IGNORECASE so BPE merges can happen for capitalized versions of contractions
          __A						:			Union[str, Any]								=	re.compile(R'\'s|\'t|\'re|\'ve|\'m|\'ll|\'d| ?\p{L}+| ?\p{N}+| ?[^\s\p{L}\p{N}]+|\s+(?!\S)|\s+')


     @property
     def 							SCREAMING_SNAKE_CASE  (						self):

          '''simple docstring'''






          return len(self.encoder)


     def 							SCREAMING_SNAKE_CASE  (						self):

          '''simple docstring'''






          return dict(self.encoder						,     **self.added_tokens_encoder)


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase):

          '''simple docstring'''






          if token in self.cache:
               return self.cache[token]
          __A						:			Tuple								=	tuple(_UpperCAmelCase)
          __A						:			Optional[Any]								=	get_pairs(_UpperCAmelCase)

          if not pairs:
               return token

          while True:
               __A						:			int								=	min(_UpperCAmelCase						,     key=lambda _UpperCAmelCase: self.bpe_ranks.get(_UpperCAmelCase						,     float('inf')))
               if bigram not in self.bpe_ranks:
                    break
               __A						:			Optional[Any]								=	bigram
               __A						:			str								=	[]
               __A						:			str								=	0
               while i < len(_UpperCAmelCase):
                    try:
                         __A						:			Optional[Any]								=	word.index(_UpperCAmelCase						,     _UpperCAmelCase)
                    except ValueError:
                         new_word.extend(word[i:])
                         break
                    else:
                         new_word.extend(word[i:j])
                         __A						:			Tuple								=	j

                    if word[i] == first and i < len(_UpperCAmelCase) - 1 and word[i + 1] == second:
                         new_word.append(first + second)
                         i += 2
                    else:
                         new_word.append(word[i])
                         i += 1
               __A						:			Tuple								=	tuple(_UpperCAmelCase)
               __A						:			str								=	new_word
               if len(_UpperCAmelCase) == 1:
                    break
               else:
                    __A						:			List[Any]								=	get_pairs(_UpperCAmelCase)
          __A						:			List[str]								=	' '.join(_UpperCAmelCase)
          __A						:			Tuple								=	word
          return word


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase):

          '''simple docstring'''






          __A						:			str								=	[]
          for token in re.findall(self.pat						,     _UpperCAmelCase):
               __A						:			Union[str, Any]								=	''.join(
                   self.byte_encoder[b] for b in token.encode('utf-8'))  # Maps all our bytes to unicode strings, avoiding control tokens of the BPE (spaces in our case)
               bpe_tokens.extend(bpe_token for bpe_token in self.bpe(_UpperCAmelCase).split(' '))
          return bpe_tokens


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase):

          '''simple docstring'''






          return self.encoder.get(_UpperCAmelCase						,     self.encoder.get(self.unk_token))


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase):

          '''simple docstring'''






          return self.decoder.get(_UpperCAmelCase)


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase):

          '''simple docstring'''






          __A						:			int								=	''.join(_UpperCAmelCase)
          __A						:			str								=	bytearray([self.byte_decoder[c] for c in text]).decode('utf-8'						,     errors=self.errors)
          return text


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase						,     _UpperCAmelCase = None):

          '''simple docstring'''






          if not os.path.isdir(_UpperCAmelCase):
               logger.error(F'Vocabulary path ({save_directory}) should be a directory')
               return
          __A						:			Tuple								=	os.path.join(
              _UpperCAmelCase						,     (filename_prefix + '-' if filename_prefix else '') + VOCAB_FILES_NAMES['vocab_file'])
          __A						:			Any								=	os.path.join(
              _UpperCAmelCase						,     (filename_prefix + '-' if filename_prefix else '') + VOCAB_FILES_NAMES['merges_file'])

          with open(_UpperCAmelCase						,     'w'						,     encoding='utf-8') as f:
               f.write(json.dumps(self.encoder						,     indent=2						,     sort_keys=_UpperCAmelCase						,     ensure_ascii=_UpperCAmelCase) + '\n')

          __A						:			List[Any]								=	0
          with open(_UpperCAmelCase						,     'w'						,     encoding='utf-8') as writer:
               writer.write('#version: 0.2\n')
               for bpe_tokens, token_index in sorted(self.bpe_ranks.items()						,     key=lambda _UpperCAmelCase: kv[1]):
                    if index != token_index:
                         logger.warning(
                             F'Saving vocabulary to {merge_file}: BPE merge indices are not consecutive.'
                             ' Please check that the tokenizer is not corrupted!')
                         __A						:			List[str]								=	token_index
                    writer.write(' '.join(_UpperCAmelCase) + '\n')
                    index += 1

          return vocab_file, merge_file


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase						,     _UpperCAmelCase = None):

          '''simple docstring'''






          if token_ids_a is None:
               return [self.cls_token_id] + token_ids_a + [self.sep_token_id]
          __A						:			Optional[int]								=	[self.cls_token_id]
          __A						:			List[Any]								=	[self.sep_token_id]
          return cls + token_ids_a + sep + sep + token_ids_a + sep


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase						,     _UpperCAmelCase = None						,     _UpperCAmelCase = False):

          '''simple docstring'''






          if already_has_special_tokens:
               return super().get_special_tokens_mask(
                   token_ids_a=_UpperCAmelCase						,     token_ids_a=_UpperCAmelCase						,     already_has_special_tokens=_UpperCAmelCase)

          if token_ids_a is None:
               return [1] + ([0] * len(_UpperCAmelCase)) + [1]
          return [1] + ([0] * len(_UpperCAmelCase)) + [1, 1] + ([0] * len(_UpperCAmelCase)) + [1]


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase						,     _UpperCAmelCase = None):

          '''simple docstring'''






          __A						:			Optional[int]								=	[self.sep_token_id]
          __A						:			int								=	[self.cls_token_id]

          if token_ids_a is None:
               return len(cls + token_ids_a + sep) * [0]
          return len(cls + token_ids_a + sep + sep + token_ids_a + sep) * [0]


     def 							SCREAMING_SNAKE_CASE  (						self						,     _UpperCAmelCase						,     _UpperCAmelCase=False						,     **_UpperCAmelCase):

          '''simple docstring'''






          __A						:			Tuple								=	kwargs.pop('add_prefix_space'						,     self.add_prefix_space)
          if (is_split_into_words or add_prefix_space) and (len(_UpperCAmelCase) > 0 and not text[0].isspace()):
               __A						:			Dict								=	' ' + text
          return (text, kwargs)






'''simple docstring'''




from __future__ import annotations

from math import gcd






def 	_lowerCAmelCase      (  __snake_case  :			int			,							__snake_case  :			int = 2			,							__snake_case  :			int = 1			,							__snake_case  :			int = 3			,							)					->					int | None:
     # 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  :			int			,							__snake_case  :			int			,							__snake_case  :			int      ) -> int:
          return (pow(__snake_case			,							2      ) + step) % modulus

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

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

               # 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``.
               __A						:			Optional[int]								=	gcd(hare - tortoise			,							__snake_case      )

               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.
          __A						:			Union[str, Any]								=	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__   :				str      =   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__   :				Optional[int]      =   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__   :				List[str]      =   args.num // divisor
    print(f"""{args.num} = {divisor} * {quotient}""")