import numpy as np
import qiskit





def   lowerCAmelCase_ (				__lowerCAmelCase		,					__lowerCAmelCase						)->  qiskit.QuantumCircuit:






      '''simple docstring'''





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

    # 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    : int      =np.random.randint(2						)
            if output == 1:
                  oracle_qc.x(__lowerCAmelCase						)

      UpperCAmelCase    : int      =oracle_qc.to_gate()
      UpperCAmelCase    : Optional[Any]      ='''Oracle'''  # To show when we display the circuit
      return oracle_gate





def   lowerCAmelCase_ (				__lowerCAmelCase		,					__lowerCAmelCase						)->  qiskit.QuantumCircuit:






      '''simple docstring'''





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

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

      return dj_circuit





def   lowerCAmelCase_ (				__lowerCAmelCase		,					__lowerCAmelCase						)->  qiskit.result.counts.Counts:






      '''simple docstring'''





      UpperCAmelCase    : List[Any]      =qiskit.Aer.get_backend('''aer_simulator'''						)

      UpperCAmelCase    : int      =dj_oracle(__lowerCAmelCase		,					__lowerCAmelCase						)
      UpperCAmelCase    : int      =dj_algorithm(__lowerCAmelCase		,					__lowerCAmelCase						)

      # Execute the circuit on the simulator
      UpperCAmelCase    : Dict      =qiskit.execute(__lowerCAmelCase		,					__lowerCAmelCase		,					shots=10_00						)

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


if __name__ == "__main__":
     print(f'Deutsch Jozsa - Constant Oracle: {deutsch_jozsa("constant", 3)}')
     print(f'Deutsch Jozsa - Balanced Oracle: {deutsch_jozsa("balanced", 3)}')

__snake_case			      =    [[0, 1, 1], [0, 0, 1], [1, 0, 0]]







class 			__snake_case   :
 def __init__(  self		,   snake_case__						)	->							Any:
       '''simple docstring'''





       UpperCAmelCase    : List[Any]      =name
       UpperCAmelCase    : Tuple      =[]
       UpperCAmelCase    : str      =[]
 def 	UpperCAmelCase__       (  self		,   snake_case__						)	->							int:
       '''simple docstring'''





       self.inbound.append(snake_case__						)
 def 	UpperCAmelCase__       (  self		,   snake_case__						)	->							Dict:
       '''simple docstring'''





       self.outbound.append(snake_case__						)






 def __repr__(  self						)	->							Union[str, Any]:
       '''simple docstring'''





       return f'''<node={self.name} inbound={self.inbound} outbound={self.outbound}>'''





def   lowerCAmelCase_ (				__lowerCAmelCase		,					__lowerCAmelCase=3		,					__lowerCAmelCase=0.85						)->  Any:






      '''simple docstring'''





      UpperCAmelCase    : List[Any]      ={}
      for node in nodes:
            UpperCAmelCase    : str      =1

      UpperCAmelCase    : str      ={}
      for node in nodes:
            UpperCAmelCase    : int      =len(node.outbound						)

      for i in range(__lowerCAmelCase						):
            print(f'''======= Iteration {i + 1} ======='''						)
            for _, node in enumerate(__lowerCAmelCase						):
                  UpperCAmelCase    : Optional[int]      =(1 - d) + d * sum(
                      ranks[ib] / outbounds[ib] for ib in node.inbound						)
            print(__lowerCAmelCase						)





def   lowerCAmelCase_ (				)->  Union[str, Any]:






      '''simple docstring'''





      UpperCAmelCase    : Union[str, Any]      =list(input('''Enter Names of the Nodes: '''						).split()						)

      UpperCAmelCase    : str      =[Node(__lowerCAmelCase						) for name in names]

      for ri, row in enumerate(__lowerCAmelCase						):
            for ci, col in enumerate(__lowerCAmelCase						):
                  if col == 1:
                        nodes[ci].add_inbound(names[ri]						)
                        nodes[ri].add_outbound(names[ci]						)

      print('''======= Nodes ======='''						)
      for node in nodes:
            print(__lowerCAmelCase						)

      page_rank(__lowerCAmelCase						)


if __name__ == "__main__":
     main()
