



import numpy as np
import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute
def 						snake_case__							(       __lowercase = np.pi / 2				,  __lowercase = np.pi / 2				,  __lowercase = np.pi / 2							)		->		qiskit.result.counts.Counts:







						"""simple docstring"""

						A__						:				List[Any]         =			QuantumRegister(3				,  "qr"							)  # Define the number of quantum bits
						A__						:				str         =			ClassicalRegister(1				,  "cr"							)  # Define the number of classical bits

						A__						:				Any         =			QuantumCircuit(__lowercase				,  __lowercase							)  # Define the quantum circuit.

						# Build the circuit
						quantum_circuit.u(__lowercase				,  __lowercase				,  __lowercase				,  0							)  # Quantum State to teleport
						quantum_circuit.h(1							)  # add hadamard gate
						quantum_circuit.cx(
						    1				,  2							)  # add control gate with qubit 1 as control and 2 as target.
						quantum_circuit.cx(0				,  1							)
						quantum_circuit.h(0							)
						quantum_circuit.cz(0				,  2							)  # add control z gate.
						quantum_circuit.cx(1				,  2							)

						quantum_circuit.measure([2]				,  [0]							)  # measure the qubit.

						# Simulate the circuit using qasm simulator
						A__						:				Union[str, Any]         =			Aer.get_backend("aer_simulator"							)
						A__						:				List[str]         =			execute(__lowercase				,  __lowercase				,  shots=1_0_0_0							)

						return job.result().get_counts(__lowercase							)


if __name__ == "__main__":
		print(
		    'Total count for teleported state is: '
		    f"""{quantum_teleportation(np.pi/2, np.pi/2, np.pi/2)}"""
		)




from __future__ import annotations
def 						snake_case__							(       __lowercase				,  __lowercase				,  __lowercase				,  )		->		list[float | int]:







						"""simple docstring"""

						if not all((nth_term, start_term_a, common_ratio_r)							):
												return []
						A__						:				list[float | int]         =			[]
						A__						:				Optional[Any]         =			1
						A__						:				List[Any]         =			common_ratio_r
						for _ in range(int(__lowercase							)							):
												if not series:
																		series.append(__lowercase							)
												else:
																		power += 1
																		series.append(float(start_term_a * multiple							)							)
																		A__						:				Optional[Any]         =			pow(float(__lowercase							)				,  __lowercase							)
						return series


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		snake_case     :    Optional[int]						=    float(input('Enter the last number (n term) of the Geometric Series'))
		snake_case     :    str						=    float(input('Enter the starting term (a) of the Geometric Series'))
		snake_case     :    int						=    float(
		    input('Enter the common ratio between two terms (r) of the Geometric Series')
		)
		print('Formula of Geometric Series => a + ar + ar^2 ... +ar^n')
		print(geometric_series(nth_term, start_term_a, common_ratio_r))