from math import pow







def      _a					(   lowercase__	:      int  ,	lowercase__	:      int  ,	lowercase__	:      int  ,	lowercase__	:      int  ,	lowercase__	:      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

     SCREAMING_SNAKE_CASE__					:					Dict      =		int(pow(lowercase__  ,	lowercase__			)			)
     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
          SCREAMING_SNAKE_CASE__      ,				SCREAMING_SNAKE_CASE__					:					Union[str, Any]      =		backtrack(
              lowercase__  ,	lowercase__  ,	current_number + 1  ,	lowercase__  ,	lowercase__			)
          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.
          SCREAMING_SNAKE_CASE__      ,				SCREAMING_SNAKE_CASE__					:					Any      =		backtrack(
              lowercase__  ,	lowercase__  ,	current_number + 1  ,	lowercase__  ,	lowercase__			)
     return current_sum, solutions_count







def      _a					(   lowercase__	:      int  ,	lowercase__	:      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(lowercase__  ,	lowercase__  ,	1  ,	0  ,	0			)[1]  # Return the solutions_count


if __name__ == "__main__":
      import doctest

      doctest.testmod()







import warnings

from ...utils import logging
from .image_processing_mobilevit import MobileViTImageProcessor


lowerCamelCase		   =			logging.get_logger(__name__)




class A    (  UpperCamelCase_	):






      def __init__(   self		:	Optional[Any]     ,  *lowercase_		:	str     ,  **lowercase_		:	List[Any]					)   ->		None:
             """simple docstring"""




             warnings.warn(
                 'The class MobileViTFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'
                 ' Please use MobileViTImageProcessor instead.'     ,  lowercase_     ,  )
             super().__init__(*lowercase_     ,  **lowercase_					)


