





from typing import List

from .keymap import KEYMAP, get_character





def 					lowerCAmelCase_			(	__a		)					->		int:







  """simple docstring"""





  def decorator(__a		):
    lowerCamelCase__:				List[str]        =getattr(__a     ,   "handle_key"     ,   []		)
    handle += [key]
    setattr(__a     ,   "handle_key"     ,   __a		)
    return func

  return decorator





def 					lowerCAmelCase_			(	*__a		)					->		Optional[Any]:







  """simple docstring"""





  def decorator(__a		):
    lowerCamelCase__:				Optional[Any]        =getattr(__a     ,   "handle_key"     ,   []		)
    handle += keys
    setattr(__a     ,   "handle_key"     ,   __a		)
    return func

  return decorator



class        _SCREAMING_SNAKE_CASE						(     __SCREAMING_SNAKE_CASE   ):







 '''simple docstring'''

 def __new__(cls    :       List[Any]	,			UpperCAmelCase_    :       Union[str, Any]	,			UpperCAmelCase_    :       str	,			UpperCAmelCase_    :       List[str])	->Any:



   '''simple docstring'''



   lowerCamelCase__:				Any        =super().__new__(cls	,			UpperCAmelCase_	,			UpperCAmelCase_	,			UpperCAmelCase_)
   if not hasattr(UpperCAmelCase_	,			"key_handler"):
     setattr(UpperCAmelCase_	,			"key_handler"	,			{})
   setattr(UpperCAmelCase_	,			"handle_input"	,			KeyHandler.handle_input)

   for value in attrs.values():
     lowerCamelCase__:				List[str]        =getattr(UpperCAmelCase_	,			"handle_key"	,			[])
     for key in handled_keys:
       lowerCamelCase__:				List[Any]        =value
   return new_cls







 @staticmethod
 def 							SCREAMING_SNAKE_CASE_ (cls    :       List[str])	->Tuple:



   '''simple docstring'''



   lowerCamelCase__:				List[str]        =get_character()
   if char != KEYMAP["undefined"]:
     lowerCamelCase__:				Any        =ord(UpperCAmelCase_)
   lowerCamelCase__:				Union[str, Any]        =cls.key_handler.get(UpperCAmelCase_)
   if handler:
     lowerCamelCase__:				Optional[int]        =char
     return handler(cls)
   else:
     return None





def 					lowerCAmelCase_			(	cls		)					->		Dict:







  """simple docstring"""





  return KeyHandler(cls.__name__     ,   cls.__bases__     ,   cls.__dict__.copy()		)








from math import pow





def 					lowerCAmelCase_			(	__a     ,   __a     ,   __a     ,   __a     ,   __a     ,   )					->		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

  lowerCamelCase__:				Optional[Any]        =int(pow(__a     ,   __a		)		)
  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
    lowerCamelCase__  , lowerCamelCase__:				int        =backtrack(
        __a     ,   __a     ,   current_number + 1     ,   __a     ,   __a		)
    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.
    lowerCamelCase__  , lowerCamelCase__:				Dict        =backtrack(
        __a     ,   __a     ,   current_number + 1     ,   __a     ,   __a		)
  return current_sum, solutions_count





def 					lowerCAmelCase_			(	__a     ,   __a		)					->		int:







  """simple docstring"""





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

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


if __name__ == "__main__":
     import doctest

     doctest.testmod()

