



def 			__A  (						_lowercase       :     list)							-> bool:







			"""simple docstring"""
			if not isinstance(_lowercase		,     _lowercase):
						raise ValueError("""Input series is not valid, valid series - [1, 2/3, 2]""")
			if len(_lowercase) == 0:
						raise ValueError("""Input list must be a non empty list""")
			if len(_lowercase) == 1 and series[0] != 0:
						return True
			a__     :		Tuple		 =						[]
			a__     :		Union[str, Any]		 =						len(_lowercase)
			for i in range(0		,     _lowercase):
						if series[i] == 0:
									raise ValueError("""Input series cannot have 0 as an element""")
						rec_series.append(1 / series[i])
			a__     :		Dict		 =						rec_series[1] - rec_series[0]
			for index in range(2		,     _lowercase):
						if rec_series[index] - rec_series[index - 1] != common_diff:
									return False
			return True

def 			__A  (						_lowercase       :     list)							-> float:







			"""simple docstring"""
			if not isinstance(_lowercase		,     _lowercase):
						raise ValueError("""Input series is not valid, valid series - [2, 4, 6]""")
			if len(_lowercase) == 0:
						raise ValueError("""Input list must be a non empty list""")
			a__     :		Optional[Any]		 =						0
			for val in series:
						answer += 1 / val
			return len(_lowercase) / answer


if __name__ == "__main__":
		import doctest

		doctest.testmod()









import decimal

def 			lowerCAmelCase_  (						)							-> int:







			"""simple docstring"""
			a__     :		Optional[Any]		 =						0
			a__     :		Optional[int]		 =						decimal.Context(prec=105)
			for i in range(2		,     100):
						a__     :		int		 =						decimal.Decimal(_lowercase)
						a__     :		Optional[int]		 =						number.sqrt(_lowercase)
						if len(str(_lowercase)) > 1:
									answer += int(str(_lowercase)[0])
									a__     :		Tuple		 =						str(_lowercase)[2:101]
									answer += sum(int(_lowercase) for x in sqrt_number_str)
			return answer


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(f'{solution() = }')




