

'''simple docstring'''


def 						SCREAMING_SNAKE_CASE(  UpperCamelCase  )    ->    Dict:
	UpperCAmelCase_		:      Any       	=					int(snake_case__  )
	if n_element < 1:
		UpperCAmelCase_		:      Any       	=					ValueError('a should be a positive number'  )
		raise my_error

	UpperCAmelCase_		:      List[Any]       	=					[1]
	UpperCAmelCase_	,    UpperCAmelCase_	,    UpperCAmelCase_		:      List[Any]       	=					(0, 0, 0)
	UpperCAmelCase_		:      Optional[Any]       	=					1
	while index < n_element:
		while hamming_list[i] * 2 <= hamming_list[-1]:
			i += 1
		while hamming_list[j] * 3 <= hamming_list[-1]:
			j += 1
		while hamming_list[k] * 5 <= hamming_list[-1]:
			k += 1
		hamming_list.append(
		    min(hamming_list[i] * 2   ,hamming_list[j] * 3   ,hamming_list[k] * 5  )  )
		index += 1
	return hamming_list


if __name__ == "__main__":
						lowerCAmelCase__										= input("Enter the last number (nth term) of the Hamming Number Series: ")
						print("Formula of Hamming Number Series => 2^i * 3^j * 5^k")
						lowerCAmelCase__										= hamming(int(n))
						print("-----------------------------------------------------")
						print(F'The list with nth numbers is: {hamming_numbers}')
						print("-----------------------------------------------------")









'''simple docstring'''


import qiskit







def 						SCREAMING_SNAKE_CASE(  UpperCamelCase   ,UpperCamelCase  )    ->    qiskit.result.counts.Counts:
	UpperCAmelCase_		:      Tuple       	=					qiskit.Aer.get_backend('aer_simulator'  )

	UpperCAmelCase_		:      List[str]       	=					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
	UpperCAmelCase_		:      List[str]       	=					qiskit.execute(UpperCamelCase   ,UpperCamelCase   ,shots=1_0_0_0  )

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


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






