


"""simple docstring"""


import qiskit



def   snake_case						(				_a:     int		,   _a:     int							)->		qiskit.result.counts.Counts:
      '''simple docstring'''


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

      lowerCamelCase__           =		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
      lowerCamelCase__           =		qiskit.execute(_a		,   _a		,   shots=1000							)

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


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







"""simple docstring"""


def   snake_case						(				_a:     List[Any]		,   _a:     Any		,   _a:     str		,   _a:     List[Any]							)->		List[Any]:
      '''simple docstring'''


      lowerCamelCase__           =		[False] * len(_a							)
      lowerCamelCase__           =		[]
      queue.append(_a							)
      lowerCamelCase__           =		True

      while queue:
            lowerCamelCase__           =		queue.pop(0							)
            for ind in range(len(graph[u]							)							):
                  if visited[ind] is False and graph[u][ind] > 0:
                        queue.append(_a							)
                        lowerCamelCase__           =		True
                        lowerCamelCase__           =		u

      return visited[t]



def   snake_case						(				_a:     List[Any]		,   _a:     str		,   _a:     List[str]							)->		Optional[int]:
      '''simple docstring'''


      lowerCamelCase__           =		[-1] * (len(_a							))
      lowerCamelCase__           =		0
      while bfs(_a		,   _a		,   _a		,   _a							):
            lowerCamelCase__           =		float('Inf'							)
            lowerCamelCase__           =		sink

            while s != source:
                  # Find the minimum value in select path
                  lowerCamelCase__           =		min(_a		,   graph[parent[s]][s]							)
                  lowerCamelCase__           =		parent[s]

            max_flow += path_flow
            lowerCamelCase__           =		sink

            while v != source:
                  lowerCamelCase__           =		parent[v]
                  graph[u][v] -= path_flow
                  graph[v][u] += path_flow
                  lowerCamelCase__           =		parent[v]
      return max_flow


_snake_case          =							[
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

_snake_case      ,					_snake_case          =							0, 5






print(ford_fulkerson(graph, source, sink))



