




'''simple docstring'''


_snake_case : Union[str, Any]  				=						[0, 2, 4, 6, 8]
_snake_case : Optional[int]  				=						[1, 3, 5, 7, 9]
def 						snake_case_       (UpperCamelCase			:    int					,		UpperCamelCase			:    int					,		UpperCamelCase			:    list[int]					,		UpperCamelCase			:    int ):





							'''simple docstring'''


							if remaining_length == 0:
														if digits[0] == 0 or digits[-1] == 0:
																					return 0

														for i in range(length // 2 - 1					,		-1					,		-1 ):
																					remainder += digits[i] + digits[length - i - 1]

																					if remainder % 2 == 0:
																												return 0

																					remainder //= 10

														return 1

							if remaining_length == 1:
														if remainder % 2 == 0:
																					return 0

														_a      	=							0
														for digit in range(10 ):
																					_a      	=							digit
																					result += reversible_numbers(
																					    0					,		(remainder + 2 * digit) // 10					,		UpperCamelCase					,		UpperCamelCase )
														return result

							_a      	=							0
							for digita in range(10 ):
														_a      	=							digita

														if (remainder + digita) % 2 == 0:
																					_a      	=							ODD_DIGITS
														else:
																					_a      	=							EVEN_DIGITS

														for digita in other_parity_digits:
																					_a      	=							digita
																					result += reversible_numbers(
																					    remaining_length - 2					,		(remainder + digita + digita) // 10					,		UpperCamelCase					,		UpperCamelCase					,		)
							return result
def 						snake_case_       (UpperCamelCase			:    int = 9 ):





							'''simple docstring'''


							_a      	=							0
							for length in range(1					,		max_power + 1 ):
														result += reversible_numbers(UpperCamelCase					,		0					,		[0] * length					,		UpperCamelCase )
							return result


if __name__ == "__main__":
				print(F'''{solution() = }''')







'''simple docstring'''


import qiskit
def 						snake_case_       (UpperCamelCase			:    int					,		UpperCamelCase			:    int ):





							'''simple docstring'''


							_a      	=							qiskit.Aer.get_backend('''aer_simulator''' )

							_a      	=							qiskit.QuantumCircuit(4					,		2 )
							# encode inputs in qubits 0 and 1
							if bita == 1:
														qc_ha.x(0 )
							if bita == 1:
														qc_ha.x(1 )
							qc_ha.barrier()

							# use cnots to write XOR of the inputs on qubit2
							qc_ha.cx(0					,		2 )
							qc_ha.cx(1					,		2 )

							# use ccx / toffoli gate to write AND of the inputs on qubit3
							qc_ha.ccx(0					,		1					,		3 )
							qc_ha.barrier()

							# extract outputs
							qc_ha.measure(2					,		0 )  # extract XOR value
							qc_ha.measure(3					,		1 )  # extract AND value

							# Execute the circuit on the qasm simulator
							_a      	=							qiskit.execute(UpperCamelCase					,		UpperCamelCase					,		shots=1000 )

							# Return the histogram data of the results of the experiment
							return job.result().get_counts(UpperCamelCase )


if __name__ == "__main__":
				_snake_case : Tuple  				=						half_adder(1, 1)
				print(F'''Half Adder Output Qubit Counts: {counts}''')

