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,)
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())