

'''simple docstring'''

import math

import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute





def 				lowercase (					__magic_name__ = 1			,   __magic_name__ = 1							):



					'''simple docstring'''







					if isinstance(__magic_name__			,   __magic_name__							) or isinstance(__magic_name__			,   __magic_name__							):
										raise TypeError("inputs must be integers."							)
					if (bit_a < 0) or (bit_a < 0):
										raise ValueError("inputs must be positive."							)
					if (math.floor(__magic_name__							) != bit_a) or (math.floor(__magic_name__							) != bit_a):
										raise ValueError("inputs must be exact integers."							)
					if (bit_a > 1) or (bit_a > 1):
										raise ValueError("inputs must be less or equal to 1."							)

					# build registers
					UpperCAmelCase		:							List[Any]        =       QuantumRegister(2			,   "qr"							)
					UpperCAmelCase		:							Optional[int]        =       ClassicalRegister(2			,   "cr"							)

					UpperCAmelCase		:							Optional[int]        =       QuantumCircuit(__magic_name__			,   __magic_name__							)

					# entanglement the qubits
					quantum_circuit.h(1							)
					quantum_circuit.cx(1			,   0							)

					# send the information
					UpperCAmelCase		:							Any        =       str(__magic_name__							) + str(__magic_name__							)

					if c_information == "11":
										quantum_circuit.x(1							)
										quantum_circuit.z(1							)
					elif c_information == "10":
										quantum_circuit.z(1							)
					elif c_information == "01":
										quantum_circuit.x(1							)
					else:
										quantum_circuit.i(1							)

					# unentangled the circuit
					quantum_circuit.cx(1			,   0							)
					quantum_circuit.h(1							)

					# measure the circuit
					quantum_circuit.measure(__magic_name__			,   __magic_name__							)

					UpperCAmelCase		:							Tuple        =       Aer.get_backend("aer_simulator"							)
					UpperCAmelCase		:							Any        =       execute(__magic_name__			,   __magic_name__			,   shots=1000							)

					return job.result().get_counts(__magic_name__							)


if __name__ == "__main__":
				print(F'Counts for classical state send: {superdense_coding(1,1)}')



'''simple docstring'''

def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					UpperCAmelCase		:							Dict        =       1.0
					for i in range(1			,   r + 1							):
										ret *= (n + 1 - i) / i
					return round(__magic_name__							)





def 				lowercase (					__magic_name__							):



					'''simple docstring'''







					return choose(8 + n			,   __magic_name__							) + choose(9 + n			,   __magic_name__							) - 10





def 				lowercase (					__magic_name__							):



					'''simple docstring'''







					return sum(non_bouncy_exact(__magic_name__							) for i in range(1			,   n + 1							)							)





def 				lowercase (					__magic_name__ = 100							):



					'''simple docstring'''







					return non_bouncy_upto(__magic_name__							)


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