



'''simple docstring'''





from ..utils import DummyObject, requires_backends






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	str			,	**_a      :	int   )					->					Optional[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	Any			,	**_a      :	Optional[Any]   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	int			,	**_a      :	Dict   )					->					List[str]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[Any]			,	*_a      :	List[Any]			,	**_a      :	str   )					->					List[str]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	str			,	**_a      :	Any   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	Tuple			,	**_a      :	str   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[str]			,	*_a      :	str			,	**_a      :	List[str]   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	int			,	**_a      :	Dict   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Union[str, Any]			,	**_a      :	Union[str, Any]   )					->					str:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Dict			,	*_a      :	Any			,	**_a      :	Optional[int]   )					->					List[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Tuple			,	**_a      :	Any   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Tuple			,	**_a      :	Optional[int]   )					->					Dict:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	List[str]			,	**_a      :	Tuple   )					->					List[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[Any]			,	*_a      :	int			,	**_a      :	Union[str, Any]   )					->					List[str]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	str			,	**_a      :	Union[str, Any]   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	int			,	*_a      :	Optional[int]			,	**_a      :	List[str]   )					->					Tuple:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	List[str]			,	**_a      :	Union[str, Any]   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Optional[Any]			,	**_a      :	str   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[Any]			,	*_a      :	int			,	**_a      :	int   )					->					Union[str, Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	int			,	**_a      :	int   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	List[str]			,	**_a      :	Optional[int]   )					->					Tuple:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Union[str, Any]			,	*_a      :	List[Any]			,	**_a      :	Optional[int]   )					->					str:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	Optional[Any]			,	**_a      :	str   )					->					Any:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	str			,	*_a      :	Any			,	**_a      :	Optional[int]   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[str]			,	*_a      :	Union[str, Any]			,	**_a      :	List[str]   )					->					Optional[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	List[Any]			,	**_a      :	str   )					->					int:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	int			,	**_a      :	Any   )					->					str:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	int			,	*_a      :	List[Any]			,	**_a      :	List[Any]   )					->					List[str]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	List[str]			,	**_a      :	Optional[Any]   )					->					List[str]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Union[str, Any]			,	**_a      :	Dict   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	int			,	**_a      :	Union[str, Any]   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Dict			,	**_a      :	str   )					->					Any:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	int			,	**_a      :	Any   )					->					Dict:
    requires_backends(cls			,	['torch']   )




def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      int:
  requires_backends(_lowerCAmelCase       ,['torch']       )

def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      List[str]:
  requires_backends(_lowerCAmelCase       ,['torch']       )

def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      str:
  requires_backends(_lowerCAmelCase       ,['torch']       )

def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      Optional[int]:
  requires_backends(_lowerCAmelCase       ,['torch']       )

def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      Tuple:
  requires_backends(_lowerCAmelCase       ,['torch']       )

def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      Union[str, Any]:
  requires_backends(_lowerCAmelCase       ,['torch']       )

def        a_     (							*_lowerCAmelCase       ,**_lowerCAmelCase       )      ->      Any:
  requires_backends(_lowerCAmelCase       ,['torch']       )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[str]			,	*_a      :	Tuple			,	**_a      :	Optional[Any]   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Optional[int]			,	**_a      :	Any   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	List[str]			,	**_a      :	int   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[int]			,	*_a      :	Tuple			,	**_a      :	Union[str, Any]   )					->					Any:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	Optional[int]			,	**_a      :	Tuple   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	Optional[Any]			,	**_a      :	Dict   )					->					str:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Any			,	*_a      :	List[str]			,	**_a      :	List[str]   )					->					List[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Dict			,	**_a      :	int   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	Union[str, Any]			,	**_a      :	List[Any]   )					->					Dict:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	int			,	*_a      :	str			,	**_a      :	int   )					->					List[str]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	List[str]			,	**_a      :	Dict   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Union[str, Any]			,	**_a      :	Any   )					->					Dict:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[int]			,	*_a      :	Union[str, Any]			,	**_a      :	str   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Dict			,	**_a      :	Tuple   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[Any]			,	*_a      :	Any			,	**_a      :	str   )					->					Dict:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	str			,	*_a      :	List[str]			,	**_a      :	Optional[int]   )					->					Union[str, Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Union[str, Any]			,	**_a      :	List[Any]   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	Optional[int]			,	**_a      :	int   )					->					List[str]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[int]			,	*_a      :	str			,	**_a      :	Dict   )					->					Optional[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	int			,	**_a      :	Optional[Any]   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Dict			,	**_a      :	Optional[Any]   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	int			,	**_a      :	Dict   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	Optional[int]			,	**_a      :	Union[str, Any]   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	List[Any]			,	**_a      :	Tuple   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	str			,	*_a      :	Any			,	**_a      :	str   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	Union[str, Any]			,	**_a      :	Dict   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Optional[int]			,	**_a      :	Optional[int]   )					->					Union[str, Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Any			,	*_a      :	Tuple			,	**_a      :	str   )					->					str:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	List[Any]			,	**_a      :	Optional[int]   )					->					Dict:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	List[str]			,	**_a      :	Dict   )					->					int:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[int]			,	*_a      :	Optional[int]			,	**_a      :	Union[str, Any]   )					->					List[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Union[str, Any]			,	**_a      :	int   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	str			,	*_a      :	str			,	**_a      :	Union[str, Any]   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	int			,	*_a      :	str			,	**_a      :	Tuple   )					->					List[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	int			,	**_a      :	int   )					->					List[str]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	Dict			,	**_a      :	Tuple   )					->					int:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	int			,	*_a      :	Union[str, Any]			,	**_a      :	Optional[Any]   )					->					Any:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Tuple			,	**_a      :	str   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	Any			,	**_a      :	Dict   )					->					Tuple:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Union[str, Any]			,	*_a      :	Tuple			,	**_a      :	Optional[int]   )					->					Tuple:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Dict			,	**_a      :	Tuple   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	Union[str, Any]			,	**_a      :	Tuple   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Any			,	*_a      :	str			,	**_a      :	Union[str, Any]   )					->					Optional[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	List[Any]			,	**_a      :	Optional[int]   )					->					Union[str, Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Any			,	**_a      :	Any   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Dict			,	*_a      :	Optional[int]			,	**_a      :	List[Any]   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Tuple			,	**_a      :	Optional[Any]   )					->					int:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Optional[Any]			,	**_a      :	Optional[int]   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[Any]			,	*_a      :	Optional[Any]			,	**_a      :	Union[str, Any]   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	str			,	*_a      :	Dict			,	**_a      :	List[Any]   )					->					int:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	Tuple			,	**_a      :	Optional[Any]   )					->					Union[str, Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	Optional[Any]			,	**_a      :	str   )					->					Dict:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	List[str]			,	**_a      :	Dict   )					->					Dict:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	str			,	**_a      :	Union[str, Any]   )					->					Tuple:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Tuple			,	*_a      :	int			,	**_a      :	Tuple   )					->					Optional[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	Tuple			,	**_a      :	List[Any]   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[Any]			,	*_a      :	int			,	**_a      :	Any   )					->					List[str]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[Any]			,	*_a      :	Optional[Any]			,	**_a      :	Union[str, Any]   )					->					Tuple:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	List[Any]			,	**_a      :	Dict   )					->					Tuple:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Any			,	**_a      :	Tuple   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Tuple			,	*_a      :	List[str]			,	**_a      :	List[str]   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	Optional[int]			,	**_a      :	Optional[int]   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Any			,	**_a      :	Dict   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[int]			,	*_a      :	List[str]			,	**_a      :	Tuple   )					->					List[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[Any]			,	*_a      :	List[Any]			,	**_a      :	List[Any]   )					->					Union[str, Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	int			,	**_a      :	Optional[int]   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Any			,	*_a      :	Tuple			,	**_a      :	int   )					->					Any:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	Any			,	**_a      :	Dict   )					->					int:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Dict			,	*_a      :	int			,	**_a      :	int   )					->					List[str]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Tuple			,	*_a      :	Optional[int]			,	**_a      :	Union[str, Any]   )					->					Optional[Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	List[str]			,	**_a      :	List[Any]   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Tuple			,	**_a      :	str   )					->					int:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	str			,	*_a      :	Tuple			,	**_a      :	str   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	Optional[int]			,	**_a      :	Any   )					->					Union[str, Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Optional[Any]			,	**_a      :	Union[str, Any]   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	Union[str, Any]			,	**_a      :	int   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	int			,	**_a      :	List[str]   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	List[str]			,	**_a      :	Tuple   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Dict			,	*_a      :	List[Any]			,	**_a      :	Optional[int]   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	str			,	**_a      :	Any   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	str			,	*_a      :	str			,	**_a      :	List[Any]   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[str]			,	*_a      :	Any			,	**_a      :	Any   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	Optional[int]			,	**_a      :	List[str]   )					->					int:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	List[str]			,	**_a      :	Union[str, Any]   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Union[str, Any]			,	*_a      :	Tuple			,	**_a      :	int   )					->					List[str]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	Dict			,	**_a      :	int   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Union[str, Any]			,	**_a      :	str   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	str			,	*_a      :	List[str]			,	**_a      :	List[str]   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Union[str, Any]			,	**_a      :	Optional[int]   )					->					Optional[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	List[Any]			,	**_a      :	List[str]   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Any			,	*_a      :	List[Any]			,	**_a      :	List[Any]   )					->					Dict:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Any			,	**_a      :	Tuple   )					->					Dict:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	str			,	**_a      :	str   )					->					Dict:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Any			,	*_a      :	List[Any]			,	**_a      :	str   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	Tuple			,	**_a      :	Tuple   )					->					int:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Any			,	*_a      :	Any			,	**_a      :	str   )					->					str:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Tuple			,	*_a      :	int			,	**_a      :	Union[str, Any]   )					->					Dict:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	int			,	**_a      :	int   )					->					str:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	int			,	**_a      :	str   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	int			,	*_a      :	Optional[Any]			,	**_a      :	Tuple   )					->					Optional[int]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	Dict			,	**_a      :	List[Any]   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	Optional[int]			,	**_a      :	List[str]   )					->					List[str]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Union[str, Any]			,	*_a      :	int			,	**_a      :	str   )					->					Any:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[Any]			,	*_a      :	List[Any]			,	**_a      :	int   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[int]			,	*_a      :	int			,	**_a      :	int   )					->					Any:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	Optional[Any]			,	*_a      :	List[str]			,	**_a      :	Any   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Tuple			,	*_a      :	Tuple			,	**_a      :	Tuple   )					->					List[Any]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	int			,	**_a      :	Any   )					->					Dict:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	Optional[Any]			,	**_a      :	List[Any]   )					->					int:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Union[str, Any]			,	*_a      :	List[str]			,	**_a      :	Any   )					->					Dict:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	int			,	*_a      :	int			,	**_a      :	Union[str, Any]   )					->					Optional[int]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	str			,	*_a      :	Dict			,	**_a      :	int   )					->					Dict:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	Optional[Any]			,	*_a      :	str			,	**_a      :	Union[str, Any]   )					->					List[str]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	str			,	**_a      :	List[str]   )					->					Union[str, Any]:
    requires_backends(cls			,	['torch']   )






class 					lowerCamelCase_    (				metaclass=SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  a_												=["""torch"""]




  def __init__( self      :	List[Any]			,	*_a      :	Union[str, Any]			,	**_a      :	str   )					->					Union[str, Any]:
    requires_backends(self			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	Optional[Any]			,	**_a      :	List[str]   )					->					List[str]:
    requires_backends(cls			,	['torch']   )




  @classmethod
  def 						_lowercase     ( cls      :	List[str]			,	*_a      :	str			,	**_a      :	str   )					->					int:
    requires_backends(cls			,	['torch']   )











'''simple docstring'''





from __future__ import annotations

import math
from collections.abc import Callable

def        a_     (							_lowerCAmelCase       ,_lowerCAmelCase       ,_lowerCAmelCase       ,_lowerCAmelCase = 100       ,)      ->      float:
  __lowerCamelCase       :       Dict           = x_start
  __lowerCamelCase       :       int           = fnc(_lowerCAmelCase       )
  __lowerCamelCase       :       Dict           = 0.0

  for _ in range(_lowerCAmelCase       ):
    # Approximates curve as a sequence of linear lines and sums their length
    __lowerCamelCase       :       List[str]           = (x_end - x_start) / steps + xa
    __lowerCamelCase       :       List[Any]           = fnc(_lowerCAmelCase       )
    length += math.hypot(xa - xa       ,fxa - fxa       )

    # Increment step
    __lowerCamelCase       :       Any           = xa
    __lowerCamelCase       :       Tuple           = fxa

  return length


if __name__ == "__main__":

   def        a_     (							_lowerCAmelCase       )      ->      Dict:
     return math.sin(10 * x       )

   print('f(x) = sin(10 * x)')
   print('The length of the curve from x = -10 to x = 10 is:')
   _UpperCamelCase											=						10
   while i <= 100000:
      print(f'''With {i} steps: {line_length(f, -10, 10, i)}''')
      i *= 10






