
"""simple docstring"""






import math

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



def      lowerCAmelCase__			(		__magic_name__ = 3      )						->qiskit.result.counts.Counts:
			if isinstance(__magic_name__			,   __magic_name__      ):
						raise TypeError("number of qubits must be a integer."      )
			if number_of_qubits <= 0:
						raise ValueError("number of qubits must be > 0."      )
			if math.floor(__magic_name__      ) != number_of_qubits:
						raise ValueError("number of qubits must be exact integer."      )
			if number_of_qubits > 1_0:
						raise ValueError("number of qubits too large to simulate(>10)."      )

			__lowercase       =       QuantumRegister(__magic_name__			,   "qr"      )
			__lowercase       =       ClassicalRegister(__magic_name__			,   "cr"      )

			__lowercase       =       QuantumCircuit(__magic_name__			,   __magic_name__      )

			__lowercase       =       number_of_qubits

			for i in range(__magic_name__      ):
						quantum_circuit.h(number_of_qubits - i - 1      )
						counter -= 1
						for j in range(__magic_name__      ):
									quantum_circuit.cp(np.pi / 2 ** (counter - j)			,   __magic_name__			,   __magic_name__      )

			for k in range(number_of_qubits // 2      ):
						quantum_circuit.swap(__magic_name__			,   number_of_qubits - k - 1      )

			# measure all the qubits
			quantum_circuit.measure(__magic_name__			,   __magic_name__      )
			# simulate with 10000 shots
			__lowercase       =       Aer.get_backend("qasm_simulator"      )
			__lowercase       =       execute(__magic_name__			,   __magic_name__			,   shots=1_0_0_0_0      )

			return job.result().get_counts(__magic_name__      )


if __name__ == "__main__":
					print(
					    F"Total count for quantum fourier transform state is: \
    {quantum_fourier_transform(3)}"
					)







"""simple docstring"""






def      lowerCAmelCase__			(		__magic_name__      )						->int:

			if not isinstance(__magic_name__			,   __magic_name__      ):
						raise ValueError("multiplicative_persistence() only accepts integral values"      )
			if num < 0:
						raise ValueError("multiplicative_persistence() does not accept negative values"      )

			__lowercase       =       0
			__lowercase       =       str(__magic_name__      )

			while len(__magic_name__      ) != 1:
						__lowercase       =       [int(__magic_name__      ) for i in num_string]

						__lowercase       =       1
						for i in range(0			,   len(__magic_name__      )      ):
									total *= numbers[i]

						__lowercase       =       str(__magic_name__      )

						steps += 1
			return steps



def      lowerCAmelCase__			(		__magic_name__      )						->int:

			if not isinstance(__magic_name__			,   __magic_name__      ):
						raise ValueError("additive_persistence() only accepts integral values"      )
			if num < 0:
						raise ValueError("additive_persistence() does not accept negative values"      )

			__lowercase       =       0
			__lowercase       =       str(__magic_name__      )

			while len(__magic_name__      ) != 1:
						__lowercase       =       [int(__magic_name__      ) for i in num_string]

						__lowercase       =       0
						for i in range(0			,   len(__magic_name__      )      ):
									total += numbers[i]

						__lowercase       =       str(__magic_name__      )

						steps += 1
			return steps


if __name__ == "__main__":
					import doctest

					doctest.testmod()





