



def     UpperCAmelCase__ (							__snake_case							)   -> bool:
  if not isinstance(__snake_case						,				__snake_case							):
    raise ValueError('''Input series is not valid, valid series - [2, 4, 8]'''							)
  if len(__snake_case							) == 0:
    raise ValueError('''Input list must be a non empty list'''							)
  if len(__snake_case							) == 1:
    return True
  try:
    _A           =    series[1] / series[0]
    for index in range(len(__snake_case							) - 1							):
      if series[index + 1] / series[index] != common_ratio:
        return False
  except ZeroDivisionError:
    return False
  return True




def     UpperCAmelCase__ (							__snake_case							)   -> float:
  if not isinstance(__snake_case						,				__snake_case							):
    raise ValueError('''Input series is not valid, valid series - [2, 4, 8]'''							)
  if len(__snake_case							) == 0:
    raise ValueError('''Input list must be a non empty list'''							)
  _A           =    1
  for value in series:
    answer *= value
  return pow(__snake_case						,				1 / len(__snake_case							)							)


if __name__ == "__main__":
    import doctest

    doctest.testmod()




from ..utils import requires_backends


__lowerCamelCase  				=					None



class 		_snake_case      :





 """simple docstring"""



 def __init__(						self	,    *a	,    **a					)	->							Tuple:




   """simple docstring"""







   requires_backends(self	,    ['''detectron2''']					)



 @classmethod
 def lowercase_		(						cls	,    *a	,    **a					)	->							Optional[int]:




   """simple docstring"""







   requires_backends(cls	,    ['''detectron2''']					)