

'''simple docstring'''






def 					__lowerCamelCase			(      SCREAMING_SNAKE_CASE_     :	list    )							->   bool:
      """simple docstring"""

      if not isinstance(SCREAMING_SNAKE_CASE_  ,  SCREAMING_SNAKE_CASE_    ):
            raise ValueError("Input series is not valid, valid series - [2, 4, 8]"    )
      if len(SCREAMING_SNAKE_CASE_    ) == 0:
            raise ValueError("Input list must be a non empty list"    )
      if len(SCREAMING_SNAKE_CASE_    ) == 1:
            return True
      try:
            SCREAMING_SNAKE_CASE_      :			Optional[Any]     =       series[1] / series[0]
            for index in range(len(SCREAMING_SNAKE_CASE_    ) - 1    ):
                  if series[index + 1] / series[index] != common_ratio:
                        return False
      except ZeroDivisionError:
            return False
      return True


def 					__lowerCamelCase			(      SCREAMING_SNAKE_CASE_     :	list    )							->   float:
      """simple docstring"""

      if not isinstance(SCREAMING_SNAKE_CASE_  ,  SCREAMING_SNAKE_CASE_    ):
            raise ValueError("Input series is not valid, valid series - [2, 4, 8]"    )
      if len(SCREAMING_SNAKE_CASE_    ) == 0:
            raise ValueError("Input list must be a non empty list"    )
      SCREAMING_SNAKE_CASE_      :			Any     =       1
      for value in series:
            answer *= value
      return pow(SCREAMING_SNAKE_CASE_  ,  1 / len(SCREAMING_SNAKE_CASE_    )    )


if __name__ == "__main__":
      import doctest

      doctest.testmod()




'''simple docstring'''






from ..utils import DummyObject, requires_backends
class 	SCREAMING_SNAKE_CASE__			(				metaclass=_UpperCAmelCase      ):
    _A			    =							["torch", "transformers", "invisible_watermark"]




    def __init__(					self				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(self				,     ["torch", "transformers", "invisible_watermark"]			)




    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)







    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)






class 	SCREAMING_SNAKE_CASE__			(				metaclass=_UpperCAmelCase      ):
    _A			    =							["torch", "transformers", "invisible_watermark"]




    def __init__(					self				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(self				,     ["torch", "transformers", "invisible_watermark"]			)




    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)







    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)

