code: import os
  from shutil import copyfile
  from typing import Optional, Tuple
  
  from ...tokenization_utils_fast import PreTrainedTokenizerFast
  from ...utils import is_sentencepiece_available, logging
  
  
  if is_sentencepiece_available():
   from .tokenization_reformer import ReformerTokenizer
  else:
   a     :			List[str]					    =						None
  
  
  a     :			int					    =						logging.get_logger(__name__)
  
  
  a     :			List[Any]					    =						"""▁"""
  
  a     :			List[str]					    =						{"""vocab_file""": """spiece.model""", """tokenizer_file""": """tokenizer.json"""}
  
  a     :			Dict					    =						{
      """vocab_file""": {
          """google/reformer-crime-and-punishment""": (
              """https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/spiece.model"""
          )
      },
      """tokenizer_file""": {
          """google/reformer-crime-and-punishment""": (
              """https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/tokenizer.json"""
          )
      },
  }
  
  a     :			int					    =						{
      """google/reformer-crime-and-punishment""": 5_2_4_2_8_8,
  }
  
  class 				_lowercase						(    UpperCAmelCase__ ):
  
  
  
  
  
  
      '''simple docstring'''
      SCREAMING_SNAKE_CASE:							Dict        =						VOCAB_FILES_NAMES
      SCREAMING_SNAKE_CASE:							Optional[Any]        =						PRETRAINED_VOCAB_FILES_MAP
      SCREAMING_SNAKE_CASE:							List[Any]        =						PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      SCREAMING_SNAKE_CASE:							str        =						['input_ids', 'attention_mask']
      SCREAMING_SNAKE_CASE:							List[Any]        =						ReformerTokenizer
  
  
  
  
      def __init__(						self					,	lowerCamelCase__=None					,	lowerCamelCase__=None					,	lowerCamelCase__="</s>"					,	lowerCamelCase__="<unk>"					,	lowerCamelCase__=[]					,	**lowerCamelCase__					,	):
         super().__init__(
             lowerCamelCase__					,	tokenizer_file=lowerCamelCase__					,	eos_token=lowerCamelCase__					,	unk_token=lowerCamelCase__					,	additional_special_tokens=lowerCamelCase__					,	**lowerCamelCase__					,	)
  
         lowerCAmelCase_:       Union[str, Any]         =  vocab_file
         lowerCAmelCase_:       List[Any]         =  False if not self.vocab_file else True
  
  
  
  
      def     _a						(						self					,	lowerCamelCase__					,	lowerCamelCase__ = 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(lowerCamelCase__   ):
            logger.error(F'''Vocabulary path ({save_directory}) should be a directory'''   )
            return
         lowerCAmelCase_:       List[Any]         =  os.path.join(
             lowerCamelCase__					,	(filename_prefix + "-" if filename_prefix else "") + VOCAB_FILES_NAMES["vocab_file"]   )
  
         if os.path.abspath(self.vocab_file   ) != os.path.abspath(lowerCamelCase__   ):
            copyfile(self.vocab_file					,	lowerCamelCase__   )
  
         return (out_vocab_file,)
style_context: import itertools
  def 		snake_case__  (		lowercase				):
     return (
         int("".join(combination[0:2]				)				) * int("".join(combination[2:5]				)				)
         == int("".join(combination[5:9]				)				)
     ) or (
         int("".join(combination[0]				)				) * int("".join(combination[1:5]				)				)
         == int("".join(combination[5:9]				)				)
     )
  def 		snake_case__  (		):
     return sum(
         {
             int("".join(pandigital[5:9]				)				)
             for pandigital in itertools.permutations("123456789"				)
             if is_combination_valid(lowercase				)
         }				)
  
  
  if __name__ == "__main__":
   print(solution())