






"""simple docstring"""





from math import pow







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	)					->	tuple[int, int]:
      """simple docstring"""

      if current_sum == needed_sum:
            # If the sum of the powers is equal to needed_sum, then we have a solution.
            solutions_count += 1
            return current_sum, solutions_count

      UpperCamelCase__         =    int(pow(SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)					)
      if current_sum + i_to_n <= needed_sum:
            # If the sum of the powers is less than needed_sum, then continue adding powers.
            current_sum += i_to_n
            UpperCamelCase__         =    backtrack(
                SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	current_number + 1 ,	SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)
            current_sum -= i_to_n
      if i_to_n < needed_sum:
            # If the power of i is less than needed_sum, then try with the next power.
            UpperCamelCase__         =    backtrack(
                SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	current_number + 1 ,	SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)
      return current_sum, solutions_count







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)					->	int:
      """simple docstring"""

      if not (1 <= needed_sum <= 10_00 and 2 <= power <= 10):
            raise ValueError(
                'Invalid input\n'
                'needed_sum must be between 1 and 1000, power between 2 and 10.'					)

      return backtrack(SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	1 ,	0 ,	0					)[1]  # Return the solutions_count


if __name__ == "__main__":
  import doctest

  doctest.testmod()












"""simple docstring"""





from argparse import ArgumentParser

from . import BaseTransformersCLICommand







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE					)					->	Dict:
    """simple docstring"""

    return DownloadCommand(args.model ,	args.cache_dir ,	args.force ,	args.trust_remote_code					)





class    __lowerCamelCase    (  _a  ):

   @staticmethod
   def 						SCREAMING_SNAKE_CASE__ (					snake_case_      )		->       Union[str, Any]:
       UpperCamelCase__         =    parser.add_parser('download'      )
       download_parser.add_argument(
           '--cache-dir' ,				type=snake_case_ ,				default=snake_case_ ,				help='Path to location to store the models'      )
       download_parser.add_argument(
           '--force' ,				action='store_true' ,				help='Force the model to be download even if already in cache-dir'      )
       download_parser.add_argument(
           '--trust-remote-code' ,				action='store_true' ,				help='Whether or not to allow for custom models defined on the Hub in their own modeling files. Use only if you\'ve reviewed the code as it will execute on your local machine' ,				)
       download_parser.add_argument('model' ,				type=snake_case_ ,				help='Name of the model to download'      )
       download_parser.set_defaults(func=snake_case_      )

   def __init__(					self ,				snake_case_ ,				snake_case_ ,				snake_case_ ,				snake_case_      )		->       str:
       UpperCamelCase__         =    model
       UpperCamelCase__         =    cache
       UpperCamelCase__         =    force
       UpperCamelCase__         =    trust_remote_code







   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       List[Any]:
       from ..models.auto import AutoModel, AutoTokenizer

       AutoModel.from_pretrained(
           self._model ,				cache_dir=self._cache ,				force_download=self._force ,				trust_remote_code=self._trust_remote_code      )
       AutoTokenizer.from_pretrained(
           self._model ,				cache_dir=self._cache ,				force_download=self._force ,				trust_remote_code=self._trust_remote_code      )




