'''simple docstring'''




import numpy as np
import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute







def 			A_   ( _lowerCamelCase			:							float = np.pi / 2  ,  _lowerCamelCase			:							float = np.pi / 2  ,  _lowerCamelCase			:							float = np.pi / 2    ):
      _lowerCAmelCase		   =   QuantumRegister(3  ,  'qr'    )  # Define the number of quantum bits
      _lowerCAmelCase		   =   ClassicalRegister(1  ,  'cr'    )  # Define the number of classical bits

      _lowerCAmelCase		   =   QuantumCircuit(a_  ,  a_    )  # Define the quantum circuit.

      # Build the circuit
      quantum_circuit.u(a_  ,  a_  ,  a_  ,  0    )  # Quantum State to teleport
      quantum_circuit.h(1    )  # add hadamard gate
      quantum_circuit.cx(
          1  ,  2    )  # add control gate with qubit 1 as control and 2 as target.
      quantum_circuit.cx(0  ,  1    )
      quantum_circuit.h(0    )
      quantum_circuit.cz(0  ,  2    )  # add control z gate.
      quantum_circuit.cx(1  ,  2    )

      quantum_circuit.measure([2]  ,  [0]    )  # measure the qubit.

      # Simulate the circuit using qasm simulator
      _lowerCAmelCase		   =   Aer.get_backend('aer_simulator'    )
      _lowerCAmelCase		   =   execute(a_  ,  a_  ,  shots=1_000    )

      return job.result().get_counts(a_    )


if __name__ == "__main__":
 print(
     '''Total count for teleported state is: '''
     f'''{quantum_teleportation(np.pi/2, np.pi/2, np.pi/2)}'''
 )






'''simple docstring'''




import itertools







def 			A_   ( _lowerCamelCase			:							Tuple    ):
      return (
          int(''.join(combination[0:2]    )    ) * int(''.join(combination[2:5]    )    )
          == int(''.join(combination[5:9]    )    )
      ) or (
          int(''.join(combination[0]    )    ) * int(''.join(combination[1:5]    )    )
          == int(''.join(combination[5:9]    )    )
      )







def 			A_   ( ):
      return sum(
          {
              int(''.join(pandigital[5:9]    )    )
              for pandigital in itertools.permutations('123456789'    )
              if is_combination_valid(_lowerCamelCase    )
          }    )


if __name__ == "__main__":
 print(solution())





