




def  snake_case (							A      )							->							bool:




	'''simple docstring'''


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






def  snake_case (							A      )							->							float:




	'''simple docstring'''


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


if __name__ == "__main__":
							import doctest

							doctest.testmod()






from typing import Callable






def  snake_case (							A      )							->							List[str]:




	'''simple docstring'''


	def wrapper(A      ):
		lowerCamelCase_							:		Dict							       =							function_with_docstring.__doc__
		return target_function

	return wrapper
