



"""simple docstring"""
def   A_    (     _lowercase      ):







						'''simple docstring'''


						if not isinstance(_lowercase,   _lowercase      ):
												raise ValueError("""Input series is not valid, valid series - [2, 4, 8]"""      )
						if len(_lowercase      ) == 0:
												raise ValueError("""Input list must be a non empty list"""      )
						if len(_lowercase      ) == 1:
												return True
						try:
												snake_case_					:Optional[Any]		=     series[1] / series[0]
												for index in range(len(_lowercase      ) - 1      ):
																		if series[index + 1] / series[index] != common_ratio:
																								return False
						except ZeroDivisionError:
												return False
						return True
def   A_    (     _lowercase      ):







						'''simple docstring'''


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


if __name__ == "__main__":
						import doctest

						doctest.testmod()





"""simple docstring"""
import doctest

import projectq
from projectq.ops import H, Measure
def   A_    (     _lowercase      ):







						'''simple docstring'''


						snake_case_					:Union[str, Any]		=     quantum_engine.allocate_qubit()
						H | qubit
						Measure | qubit
						return int(_lowercase      )


if __name__ == "__main__":
						doctest.testmod()

						# initialises a new quantum backend
						__a           =							projectq.MainEngine()

						# Generate a list of 10 random numbers
						__a           =							[get_random_number(quantum_engine) for _ in range(10)]

						# Flushes the quantum engine from memory
						quantum_engine.flush()

						print("Random numbers", random_numbers_list)
