





"""simple docstring"""




from __future__ import annotations





def 			a_							(				_lowercase  ):
						_UpperCamelCase     :   Optional[int]      =       [0] * max_one

						for i in range(0			,		_lowercase  ):
												_UpperCamelCase     :   Optional[int]      =       i

						for i in range(2			,		_lowercase  ):
												if totients[i] == i:
																		for j in range(_lowercase			,		_lowercase			,		_lowercase  ):
																								totients[j] -= totients[j] // i

						return totients





def 			a_							(				_lowercase			,		_lowercase  ):
						return sorted(str(_lowercase  )  ) == sorted(str(_lowercase  )  )





def 			a_							(				_lowercase = 1000_0000  ):
						_UpperCamelCase     :   List[Any]      =       1  # i
						_UpperCamelCase     :   Optional[int]      =       0  # φ(i)
						_UpperCamelCase     :   Optional[Any]      =       get_totients(max_n + 1  )

						for i in range(2			,		max_n + 1  ):
												_UpperCamelCase     :   Dict      =       totients[i]

												if i * min_denominator < min_numerator * t and has_same_digits(_lowercase			,		_lowercase  ):
																		_UpperCamelCase     :   Tuple      =       i
																		_UpperCamelCase     :   str      =       t

						return min_numerator


if __name__ == "__main__":
						print(F"{solution() = }")





'''simple docstring'''





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

def   A			(							A_				:       float = np.pi / 2     ,				A_				:       float = np.pi / 2     ,				A_				:       float = np.pi / 2							):
						snake_case							:  List[Any]			=     QuantumRegister(3     ,				'''qr'''							)  # Define the number of quantum bits
						snake_case							:  List[Any]			=     ClassicalRegister(1     ,				'''cr'''							)  # Define the number of classical bits

						snake_case							:  Dict			=     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
						snake_case							:  str			=     Aer.get_backend('''aer_simulator'''							)
						snake_case							:  List[str]			=     execute(A_     ,				A_     ,				shots=1000							)

						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)}'''
						)

