



from __future__ import annotations







class 				a_    :

						def __init__(       self      :str  ,		_lowercase      :List[str])						->   str:
												UpperCAmelCase_					=	value
												UpperCAmelCase_					=	None
												UpperCAmelCase_					=	None







class 				a_    :
						UpperCamelCase__ :		Union[str, Any]										=42

						def __init__(       self      :List[Any])						->   Any:
												UpperCAmelCase_					=	0

						def       __a			(       self      :int  ,		_lowercase      :Tuple  ,		_lowercase      :str)						->   Optional[int]:
												if node is None:
																		return

												if path_sum == self.target:
																		self.paths += 1

												if node.left:
																		self.depth_first_search(node.left  ,		path_sum + node.left.value)
												if node.right:
																		self.depth_first_search(node.right  ,		path_sum + node.right.value)




						def       __a			(       self      :Dict  ,		_lowercase      :Tuple  ,		_lowercase      :List[Any] = None)						->   int:
												if node is None:
																		return 0
												if target is not None:
																		UpperCAmelCase_					=	target

												self.depth_first_search(a__  ,		node.value)
												self.path_sum(node.left)
												self.path_sum(node.right)

												return self.paths


if __name__ == "__main__":
							import doctest

							doctest.testmod()












"""simple docstring"""






def    __lowerCamelCase     (							SCREAMING_SNAKE_CASE				)		->							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:
              _UpperCAmelCase			     =  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				)		->							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'				)
       _UpperCAmelCase			     =  1
       for value in series:
              answer *= value
       return pow(SCREAMING_SNAKE_CASE,1 / len(SCREAMING_SNAKE_CASE				)				)


if __name__ == "__main__":
    import doctest

    doctest.testmod()






