






'''simple docstring'''

from __future__ import annotations
def     __lowercase  (_lowercase,						_lowercase,						_lowercase     )   ->     Optional[int]:


     """simple docstring"""






     if len(UpperCAmelCase__     ) == 0:
          raise ValueError("""find_max() arg is an empty sequence"""     )
     if (
         left >= len(UpperCAmelCase__     )
         or left < -len(UpperCAmelCase__     )
         or right >= len(UpperCAmelCase__     )
         or right < -len(UpperCAmelCase__     )
     ):
          raise IndexError("""list index out of range"""     )
     if left == right:
          return nums[left]
     __lowerCamelCase						:       List[str]				   =				(left + right) >> 1  # the middle
     __lowerCamelCase						:       List[Any]				   =				find_max(UpperCAmelCase__,						UpperCAmelCase__,						UpperCAmelCase__     )  # find max in range[left, mid]
     __lowerCamelCase						:       int				   =				find_max(UpperCAmelCase__,						mid + 1,						UpperCAmelCase__     )  # find max in range[mid + 1, right]

     return left_max if left_max >= right_max else right_max


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)











'''simple docstring'''

from ..utils import DummyObject, requires_backends







class 	SCREAMING_SNAKE_CASE	(      metaclass=lowerCAmelCase_  ):
       snake_case__    :     Union[str, Any]   		=			['torch', 'torchsde']




       def __init__(					self      : int	,    *A__      : Optional[Any]	,    **A__      : Dict					):


            """simple docstring"""







            requires_backends(self	,    ["""torch""", """torchsde"""]					)




       @classmethod
       def 					a_					(					cls      : Optional[Any]	,    *A__      : str	,    **A__      : Optional[Any]					):


            """simple docstring"""







            requires_backends(cls	,    ["""torch""", """torchsde"""]					)




       @classmethod
       def 					a_					(					cls      : Union[str, Any]	,    *A__      : Any	,    **A__      : Union[str, Any]					):


            """simple docstring"""







            requires_backends(cls	,    ["""torch""", """torchsde"""]					)



