

"""simple docstring"""





import numpy as np
import qiskit




def     _A    (    UpperCamelCase_	:			int,     UpperCamelCase_	:			int)      ->		List[str]:
   '''simple docstring'''


   __lowercase								=		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:
      __lowercase								=		np.random.randint(1,     2**num_qubits)
      # Next, format 'b' as a binary string of length 'n', padded with zeros:
      __lowercase								=		format(_lowercase,     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(_lowercase):
         if bit == "1":
            oracle_qc.x(_lowercase)
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
      for index in range(_lowercase):
         oracle_qc.cx(_lowercase,     _lowercase)
      # Next, place the final X-gates
      for index, bit in enumerate(_lowercase):
         if bit == "1":
            oracle_qc.x(_lowercase)

    # 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)
      __lowercase								=		np.random.randint(2)
      if output == 1:
         oracle_qc.x(_lowercase)

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




def     _A    (    UpperCamelCase_	:			List[str],     UpperCamelCase_	:			Dict)      ->		List[str]:
   '''simple docstring'''


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

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

   return dj_circuit




def     _A    (    UpperCamelCase_	:			Tuple,     UpperCamelCase_	:			int)      ->		Optional[Any]:
   '''simple docstring'''


   __lowercase								=		qiskit.Aer.get_backend("aer_simulator")

   __lowercase								=		dj_oracle(_lowercase,     _lowercase)
   __lowercase								=		dj_algorithm(_lowercase,     _lowercase)

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











"""simple docstring"""




def 			a_							(				_lowercase  ):
						_UpperCamelCase     :   List[str]      =       []
						_UpperCamelCase     :   Union[str, Any]      =       1

						for i in range(len(_lowercase  )  ):
												if i + 1 < len(_lowercase  ) and text[i] == text[i + 1]:
																		count += 1
												else:
																		encoded.append((text[i], count)  )
																		_UpperCamelCase     :   int      =       1

						return encoded





def 			a_							(				_lowercase  ):
						return "".join(char * length for char, length in encoded  )


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

						testmod(name="""run_length_encode""", verbose=True)
						testmod(name="""run_length_decode""", verbose=True)



