





'''simple docstring'''
import qiskit
def 				lowercase__   (   __lowercase						:  int				,  __lowercase						:  int     ) ->      qiskit.result.counts.Counts:



       """simple docstring"""






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

       # Create a Quantum Circuit acting on the q register
       __UpperCamelCase       =  qiskit.QuantumCircuit(__lowercase				,  __lowercase     )

       # Apply X (NOT) Gate to Qubits 0 & 1
       circuit.x(0     )
       circuit.x(1     )

       # Map the quantum measurement to the classical bits
       circuit.measure([0, 1]				,  [0, 1]     )

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

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


if __name__ == "__main__":
    a__							:							Tuple =single_qubit_measure(2, 2)
    print(f'Total count for various states are: {counts}')







def _a				(	lowerCamelCase:   dict )	->						bool:







      '''simple docstring'''






      __A          =				set()
      # To detect a back edge, keep track of vertices currently in the recursion stack
      __A          =				set()
      return any(
          node not in visited and depth_first_search(lowerCamelCase					,				lowerCamelCase					,				lowerCamelCase					,				lowerCamelCase )
          for node in graph )



def _a				(	lowerCamelCase:   dict					,				lowerCamelCase:   int					,				lowerCamelCase:   set					,				lowerCamelCase:   set )	->						bool:







      '''simple docstring'''






      visited.add(lowerCamelCase )
      rec_stk.add(lowerCamelCase )

      for node in graph[vertex]:
            if node not in visited:
                  if depth_first_search(lowerCamelCase					,				lowerCamelCase					,				lowerCamelCase					,				lowerCamelCase ):
                        return True
            elif node in rec_stk:
                  return True

    # The node needs to be removed from recursion stack before function ends
      rec_stk.remove(lowerCamelCase )
      return False


if __name__ == "__main__":
       from doctest import testmod

       testmod()





