code: 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_xglm import XGLMTokenizer
  else:
  				A_:      str        =			None
  
  
  A_:      Optional[int]        =			logging.get_logger(__name__)
  
  A_:      List[Any]        =			{'vocab_file': 'sentencepiece.bpe.model', 'tokenizer_file': 'tokenizer.json'}
  
  A_:      List[Any]        =			{
      'vocab_file': {
          'facebook/xglm-564M': 'https://huggingface.co/facebook/xglm-564M/resolve/main/sentencepiece.bpe.model',
      },
      'tokenizer_file': {
          'facebook/xglm-564M': 'https://huggingface.co/facebook/xglm-564M/resolve/main/tokenizer.json',
      },
  }
  
  A_:      Tuple        =			{
      'facebook/xglm-564M': 2048,
  }
  
  
  class _lowercase					(       _UpperCAmelCase						):
  
  
  
  
  
  							"""simple docstring"""
  
  
  
  
  							lowerCAmelCase__       =					VOCAB_FILES_NAMES
  							lowerCAmelCase__       =					PRETRAINED_VOCAB_FILES_MAP
  							lowerCAmelCase__       =					PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
  							lowerCAmelCase__       =					['input_ids', 'attention_mask']
  							lowerCAmelCase__       =					XGLMTokenizer
  
  
  
  							def __init__(    self     ,   UpperCAmelCase=None     ,   UpperCAmelCase=None     ,   UpperCAmelCase="<s>"     ,   UpperCAmelCase="</s>"     ,   UpperCAmelCase="</s>"     ,   UpperCAmelCase="<s>"     ,   UpperCAmelCase="<unk>"     ,   UpperCAmelCase="<pad>"     ,   **UpperCAmelCase     ,   ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	7
  														_lowercase				=	[F'''<madeupword{i}>''' for i in range(self.num_madeup_words  )]
  
  														_lowercase				=	kwargs.get("""additional_special_tokens"""     ,   []  )
  														kwargs["additional_special_tokens"] += [
  														    word for word in madeup_words if word not in kwargs["additional_special_tokens"]
  														]
  
  														super().__init__(
  														    UpperCAmelCase     ,   tokenizer_file=UpperCAmelCase     ,   bos_token=UpperCAmelCase     ,   eos_token=UpperCAmelCase     ,   sep_token=UpperCAmelCase     ,   cls_token=UpperCAmelCase     ,   unk_token=UpperCAmelCase     ,   pad_token=UpperCAmelCase     ,   **UpperCAmelCase     ,   )
  
  														_lowercase				=	vocab_file
  														_lowercase				=	False if not self.vocab_file else True
  
  
  
  							def     _UpperCAmelCase       (    self     ,   UpperCAmelCase     ,   UpperCAmelCase = None  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														if token_ids_a is None:
  																					return [self.sep_token_id] + token_ids_a
  														_lowercase				=	[self.sep_token_id]
  														return sep + token_ids_a + sep + sep + token_ids_a
  
  
  
  							def     _UpperCAmelCase       (    self     ,   UpperCAmelCase     ,   UpperCAmelCase = None  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	[self.sep_token_id]
  
  														if token_ids_a is None:
  																					return len(sep + token_ids_a  ) * [0]
  														return len(sep + token_ids_a + sep + sep + token_ids_a  ) * [0]
  
  
  
  							def     _UpperCAmelCase       (    self     ,   UpperCAmelCase     ,   UpperCAmelCase = None  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														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(UpperCAmelCase  ):
  																					logger.error(F'''Vocabulary path ({save_directory}) should be a directory.'''  )
  																					return
  														_lowercase				=	os.path.join(
  														    UpperCAmelCase     ,   (filename_prefix + """-""" if filename_prefix else """""") + VOCAB_FILES_NAMES["""vocab_file"""]  )
  
  														if os.path.abspath(self.vocab_file  ) != os.path.abspath(UpperCAmelCase  ):
  																					copyfile(self.vocab_file     ,   UpperCAmelCase  )
  
  														return (out_vocab_file,)
  
  
  
style_context: def 					__lowerCAmelCase			(  _A = 998_001					):
  
  
  
  							"""simple docstring"""
  
  
  							_lowercase				=	0
  							for i in range(999 ,99 ,-1					):  # 3 digit numbers range from 999 down to 100
  														for j in range(999 ,99 ,-1					):
  																					_lowercase				=	str(i * j					)
  																					if product_string == product_string[::-1] and i * j < n:
  																												_lowercase				=	max(_A ,i * j					)
  							return answer
  
  
  if __name__ == "__main__":
  				print(F'''{solution() = }''')
  
  
  