





"""simple docstring"""




from __future__ import annotations

from typing import Any





def 						UpperCAmelCase__		(     _UpperCAmelCase					):






  """simple docstring"""





  create_state_space_tree(_UpperCAmelCase ,					[] ,					0					)





def 						UpperCAmelCase__		(     _UpperCAmelCase ,					_UpperCAmelCase ,					_UpperCAmelCase					):






  """simple docstring"""





  if index == len(_UpperCAmelCase					):
    print(_UpperCAmelCase					)
    return

  create_state_space_tree(_UpperCAmelCase ,					_UpperCAmelCase ,					index + 1					)
  current_subsequence.append(sequence[index]					)
  create_state_space_tree(_UpperCAmelCase ,					_UpperCAmelCase ,					index + 1					)
  current_subsequence.pop()


if __name__ == "__main__":
   lowerCamelCase_     :						list[Any]						=					[3, 1, 2, 4]
   generate_all_subsequences(seq)

   seq.clear()
   seq.extend(['A', 'B', 'C'])
   generate_all_subsequences(seq)






"""simple docstring"""




import qiskit





def 						UpperCAmelCase__		(     _UpperCAmelCase ,					_UpperCAmelCase					):






  """simple docstring"""





  A_  :       Tuple										=  qiskit.Aer.get_backend('aer_simulator'					)

  A_  :       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
  A_  :       Optional[Any]										=  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__":
   lowerCamelCase_     :						List[str]						=					half_adder(1, 1)
   print(F"Half Adder Output Qubit Counts: {counts}")