

from __future__ import annotations

from collections import deque
from queue import Queue
from timeit import timeit

UpperCAmelCase__			:  int					     =     {
    """A""": ["""B""", """C"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F"""],
    """D""": ["""B"""],
    """E""": ["""B""", """F"""],
    """F""": ["""C""", """E"""],
}






def        __lowercase   (  _A    ,     _A      )  ->    list[str]:
      SCREAMING_SNAKE_CASE			:   List[str]	  = {start}
      SCREAMING_SNAKE_CASE			:   Dict	  = [start]
      SCREAMING_SNAKE_CASE			:   int	  = Queue()
      queue.put(__UpperCAmelCase      )
      while not queue.empty():
            SCREAMING_SNAKE_CASE			:   int	  = queue.get()
            for w in graph[v]:
                  if w not in explored:
                        explored.add(__UpperCAmelCase      )
                        result.append(__UpperCAmelCase      )
                        queue.put(__UpperCAmelCase      )
      return result






def        __lowercase   (  _A    ,     _A      )  ->    list[str]:
      SCREAMING_SNAKE_CASE			:   Optional[int]	  = {start}
      SCREAMING_SNAKE_CASE			:   Any	  = [start]
      SCREAMING_SNAKE_CASE			:   Dict	  = deque([start]      )
      while queue:
            SCREAMING_SNAKE_CASE			:   Dict	  = queue.popleft()
            for child in graph[v]:
                  if child not in visited:
                        visited.add(__UpperCAmelCase      )
                        result.append(__UpperCAmelCase      )
                        queue.append(__UpperCAmelCase      )
      return result






def        __lowercase   (  _A      )  ->    None:
      SCREAMING_SNAKE_CASE			:   Tuple	  = F"from __main__ import G, {name}"
      SCREAMING_SNAKE_CASE			:   Tuple	  = 10000
      SCREAMING_SNAKE_CASE			:   List[Any]	  = timeit(F"{name}(G, 'A')"    ,     setup=__UpperCAmelCase    ,     number=__UpperCAmelCase      )
      print(F"{name:<35} finished {number} runs in {res:.5f} seconds"      )


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  benchmark_function("""breadth_first_search""")
  benchmark_function("""breadth_first_search_with_deque""")
  # breadth_first_search                finished 10000 runs in 0.20999 seconds
  # breadth_first_search_with_deque     finished 10000 runs in 0.01421 seconds









import numpy as np
import qiskit







def 							A     (						__UpperCAmelCase				,   __UpperCAmelCase      )			->			qiskit.QuantumCircuit:



						'''simple docstring'''






						UpperCAmelCase_					=	qiskit.QuantumCircuit(num_qubits + 1      )

						# First, let's deal with the case in which oracle is balanced
						if case == "balanced":
												# First generate a random number that tells us which CNOTs to
												# wrap in X-gates:
												UpperCAmelCase_					=	np.random.randint(1				,   2**num_qubits      )
												# Next, format 'b' as a binary string of length 'n', padded with zeros:
												UpperCAmelCase_					=	format(__UpperCAmelCase				,   f"0{num_qubits}b"      )
												# Next, we place the first X-gates. Each digit in our binary string
												# corresponds to a qubit, if the digit is 0, we do nothing, if it's 1
												# we apply an X-gate to that qubit:
												for index, bit in enumerate(__UpperCAmelCase      ):
																		if bit == "1":
																								oracle_qc.x(__UpperCAmelCase      )
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
												for index in range(__UpperCAmelCase      ):
																		oracle_qc.cx(__UpperCAmelCase				,   __UpperCAmelCase      )
												# Next, place the final X-gates
												for index, bit in enumerate(__UpperCAmelCase      ):
																		if bit == "1":
																								oracle_qc.x(__UpperCAmelCase      )

    # Case in which oracle is constant
						if case == "constant":
												# First decide what the fixed output of the oracle will be
												# (either always 0 or always 1)
												UpperCAmelCase_					=	np.random.randint(2      )
												if output == 1:
																		oracle_qc.x(__UpperCAmelCase      )

						UpperCAmelCase_					=	oracle_qc.to_gate()
						UpperCAmelCase_					=	'''Oracle'''  # To show when we display the circuit
						return oracle_gate







def 							A     (						__UpperCAmelCase				,   __UpperCAmelCase      )			->			qiskit.QuantumCircuit:



						'''simple docstring'''






						UpperCAmelCase_					=	qiskit.QuantumCircuit(num_qubits + 1				,   __UpperCAmelCase      )
						# Set up the output qubit:
						dj_circuit.x(__UpperCAmelCase      )
						dj_circuit.h(__UpperCAmelCase      )
						# And set up the input register:
						for qubit in range(__UpperCAmelCase      ):
												dj_circuit.h(__UpperCAmelCase      )
						# Let's append the oracle gate to our circuit:
						dj_circuit.append(__UpperCAmelCase				,   range(num_qubits + 1      )      )
						# Finally, perform the H-gates again and measure:
						for qubit in range(__UpperCAmelCase      ):
												dj_circuit.h(__UpperCAmelCase      )

						for i in range(__UpperCAmelCase      ):
												dj_circuit.measure(__UpperCAmelCase				,   __UpperCAmelCase      )

						return dj_circuit







def 							A     (						__UpperCAmelCase				,   __UpperCAmelCase      )			->			qiskit.result.counts.Counts:



						'''simple docstring'''






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

						UpperCAmelCase_					=	dj_oracle(__UpperCAmelCase				,   __UpperCAmelCase      )
						UpperCAmelCase_					=	dj_algorithm(__UpperCAmelCase				,   __UpperCAmelCase      )

						# Execute the circuit on the simulator
						UpperCAmelCase_					=	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__":
							print(f"Deutsch Jozsa - Constant Oracle: {deutsch_jozsa('constant', 3)}")
							print(f"Deutsch Jozsa - Balanced Oracle: {deutsch_jozsa('balanced', 3)}")





