


'''simple docstring'''




def 							a_       (						lowercase    )			->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		:      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 							a_       (						lowercase    )			->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()









'''simple docstring'''




def 							a_       (						lowercase    )			->str:






				'''simple docstring'''

				return " ".join(sorted(set(sentence.split()    )    )    )


if __name__ == "__main__":
				import doctest

				doctest.testmod()





