
'''simple docstring'''






def 		A_       (	_lowerCAmelCase   :    int				,	_lowerCAmelCase   :    bool = False							):



      """simple docstring"""




      if n == 2:
            return True
      if not n % 2 or n < 2:
            return False
      if n > 5 and n % 10 not in (1, 3, 7, 9):  # can quickly check last digit
            return False
      if n > 3317044064679887385961981 and not allow_probable:
            raise ValueError(
                "Warning: upper bound of deterministic test is exceeded. "
                "Pass allow_probable=True to allow probabilistic test. "
                "A return value of True indicates a probable prime."							)
      # array bounds provided by analysis
      _lowerCamelCase				:   Any								=   [
          2047,
          1373653,
          25326001,
          3215031751,
          2152302898747,
          3474749660383,
          341550071728321,
          1,
          3825123056546413051,
          1,
          1,
          318665857834031151167461,
          3317044064679887385961981,
      ]

      _lowerCamelCase				:   Union[str, Any]								=   [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]
      for idx, _p in enumerate(_lowerCAmelCase				,	1							):
            if n < _p:
                  # then we have our last prime to check
                  _lowerCamelCase				:   str								=   primes[:idx]
                  break
      _lowerCamelCase				:   List[str]								=   n - 1, 0
      # break up n -1 into a power of 2 (s) and
      # remaining odd component
      # essentially, solve for d * 2 ** s == n - 1
      while d % 2 == 0:
            d //= 2
            s += 1
      for prime in plist:
            _lowerCamelCase				:   int								=   False
            for r in range(_lowerCAmelCase							):
                  _lowerCamelCase				:   Any								=   pow(_lowerCAmelCase				,	d * 2**r				,	_lowerCAmelCase							)
                  # see article for analysis explanation for m
                  if (r == 0 and m == 1) or ((m + 1) % n == 0):
                        _lowerCamelCase				:   Optional[Any]								=   True
                        # this loop will not determine compositeness
                        break
            if pr:
                  continue
            # if pr is False, then the above loop never evaluated to true,
            # and the n MUST be composite
            return False
      return True







def 		A_       (	):



      """simple docstring"""




      assert not miller_rabin(561							)
      assert miller_rabin(563							)
      # 2047

      assert not miller_rabin(838201							)
      assert miller_rabin(838207							)
      # 1_373_653

      assert not miller_rabin(17316001							)
      assert miller_rabin(17316017							)
      # 25_326_001

      assert not miller_rabin(3078386641							)
      assert miller_rabin(3078386653							)
      # 3_215_031_751

      assert not miller_rabin(1713045574801							)
      assert miller_rabin(1713045574819							)
      # 2_152_302_898_747

      assert not miller_rabin(2779799728307							)
      assert miller_rabin(2779799728327							)
      # 3_474_749_660_383

      assert not miller_rabin(113850023909441							)
      assert miller_rabin(113850023909527							)
      # 341_550_071_728_321

      assert not miller_rabin(1275041018848804351							)
      assert miller_rabin(1275041018848804391							)
      # 3_825_123_056_546_413_051

      assert not miller_rabin(79666464458507787791867							)
      assert miller_rabin(79666464458507787791951							)
      # 318_665_857_834_031_151_167_461

      assert not miller_rabin(552840677446647897660333							)
      assert miller_rabin(552840677446647897660359							)
      # 3_317_044_064_679_887_385_961_981
      # upper limit for probabilistic test


if __name__ == "__main__":
      test_miller_rabin()

'''simple docstring'''






from typing import List, Optional

from tokenizers import ByteLevelBPETokenizer

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_blenderbot_small import BlenderbotSmallTokenizer


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

UpperCAmelCase_       :   Optional[int]   =       {
    'vocab_file': 'vocab.json',
    'merges_file': 'merges.txt',
    'tokenizer_config_file': 'tokenizer_config.json',
}

UpperCAmelCase_       :   Union[str, Any]   =       {
    'vocab_file': {
        'facebook/blenderbot_small-90M': 'https://huggingface.co/facebook/blenderbot_small-90M/resolve/main/vocab.json'
    },
    'merges_file': {
        'facebook/blenderbot_small-90M': 'https://huggingface.co/facebook/blenderbot_small-90M/resolve/main/merges.txt'
    },
    'tokenizer_config_file': {
        'facebook/blenderbot_small-90M': (
            'https://huggingface.co/facebook/blenderbot_small-90M/resolve/main/tokenizer_config.json'
        )
    },
}

UpperCAmelCase_       :   Union[str, Any]   =       {
    'facebook/blenderbot_small-90M': 512,
}

class  UpperCAmelCase__						(       A ):
    lowerCAmelCase_				    =		VOCAB_FILES_NAMES
    lowerCAmelCase_				    =		PRETRAINED_VOCAB_FILES_MAP
    lowerCAmelCase_				    =		PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
    lowerCAmelCase_				    =		BlenderbotSmallTokenizer



    def __init__(	self      :       Optional[Any],__A      :       str=None,__A      :       str=None,__A      :       int="<|endoftext|>",__A      :       List[str]="<|endoftext|>",__A      :       Optional[Any]="<|endoftext|>",__A      :       Union[str, Any]=False,__A      :       List[Any]=True,**__A      :       str,):
          super().__init__(
              ByteLevelBPETokenizer(
                  vocab=__A,merges=__A,add_prefix_space=__A,trim_offsets=__A,),bos_token=__A,eos_token=__A,unk_token=__A,**__A,)
          _lowerCamelCase				:   List[Any]								=   add_prefix_space



    def   lowerCamelCase_  (	self      :       Any,__A      :       Optional[Any],__A      :       Optional[int]=None     ):
          _lowerCamelCase				:   Any								=   [self.bos_token_id] + token_ids_a + [self.eos_token_id]
          if token_ids_a is None:
                return output

          return output + [self.eos_token_id] + token_ids_a + [self.eos_token_id]



    def   lowerCamelCase_  (	self      :       List[Any],__A      :       List[int],__A      :       Optional[List[int]] = None     ):
          _lowerCamelCase				:   Any								=   [self.sep_token_id]
          _lowerCamelCase				:   Union[str, Any]								=   [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]