

from ..utils import DummyObject, requires_backends



class    __snake_case	(     metaclass=lowerCAmelCase__							):
  __lowerCAmelCase  :						List[Any]    			=	['torch', 'transformers', 'k_diffusion']

  def __init__(       self    ,		*_A    ,		**_A):
      requires_backends(self    ,		['torch', 'transformers', 'k_diffusion'])

  @classmethod
  def     lowerCAmelCase__  (       cls    ,		*_A    ,		**_A):
      requires_backends(cls    ,		['torch', 'transformers', 'k_diffusion'])


  @classmethod
  def     lowerCAmelCase__  (       cls    ,		*_A    ,		**_A):
      requires_backends(cls    ,		['torch', 'transformers', 'k_diffusion'])





def        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		list							):





    """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_						=    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        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		list							):





    """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_						=    1
    for value in series:
        answer *= value
    return pow(_SCREAMING_SNAKE_CASE			, 1 / len(_SCREAMING_SNAKE_CASE							)							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()


