


'''simple docstring'''


from math import pow







def      snake_case_  (    SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__				, ):







				"""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					:			Any							= 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
								_SCREAMING_SNAKE_CASE						,			_SCREAMING_SNAKE_CASE					:			Tuple							= 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.
								_SCREAMING_SNAKE_CASE						,			_SCREAMING_SNAKE_CASE					:			Dict							= backtrack(
								    SCREAMING_SNAKE_CASE_				, SCREAMING_SNAKE_CASE_				, current_number + 1				, SCREAMING_SNAKE_CASE_				, SCREAMING_SNAKE_CASE_	)
				return current_sum, solutions_count







def      snake_case_  (    SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__	):







				"""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(SCREAMING_SNAKE_CASE_				, SCREAMING_SNAKE_CASE_				, 1				, 0				, 0	)[1]  # Return the solutions_count


if __name__ == "__main__":
				import doctest

				doctest.testmod()











'''simple docstring'''


from ..utils import DummyObject, requires_backends

class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				int								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				int								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Dict								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				int								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Optional[int]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Optional[int]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)







def 						__a(*SCREAMING_SNAKE_CASE_	:       Optional[Any]		,							**SCREAMING_SNAKE_CASE_	:       int     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )


def 						__a(*SCREAMING_SNAKE_CASE_	:       str		,							**SCREAMING_SNAKE_CASE_	:       str     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )


def 						__a(*SCREAMING_SNAKE_CASE_	:       str		,							**SCREAMING_SNAKE_CASE_	:       List[Any]     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )


def 						__a(*SCREAMING_SNAKE_CASE_	:       Optional[Any]		,							**SCREAMING_SNAKE_CASE_	:       List[str]     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )


def 						__a(*SCREAMING_SNAKE_CASE_	:       List[Any]		,							**SCREAMING_SNAKE_CASE_	:       List[str]     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )


def 						__a(*SCREAMING_SNAKE_CASE_	:       Tuple		,							**SCREAMING_SNAKE_CASE_	:       str     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )


def 						__a(*SCREAMING_SNAKE_CASE_	:       int		,							**SCREAMING_SNAKE_CASE_	:       Dict     ):



    '''simple docstring'''





    requires_backends(SCREAMING_SNAKE_CASE_		,							["torch"]     )

class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Dict								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Optional[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Any								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Optional[int]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[str]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Any								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[str]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[str]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Optional[int]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Optional[int]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				str								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Tuple								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[str]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Any								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				int								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Tuple								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				str								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Dict								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Any								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				int:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[str]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				int								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Dict								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				str								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				int								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[str]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				List[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				List[str]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Tuple								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Any:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				str								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Optional[int]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Tuple:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)







class  lowerCAmelCase_		(		metaclass=__magic_name__		):
 __lowerCamelCase    :				Union[str, Any]								=       ["torch"]




 def __init__(						self      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Union[str, Any]:
     requires_backends(self      ,  ["torch"]		)




 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				str:
     requires_backends(cls      ,  ["torch"]		)





 @classmethod
 def 				_snake_case (						cls      ,  *_lowerCAmelCase      ,  **_lowerCAmelCase		)     ->				Dict:
     requires_backends(cls      ,  ["torch"]		)


