





from math import isqrt, loga




def _a (  SCREAMING_SNAKE_CASE__      :  int       )	->    list[int]:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__       :      Any     =						[True] * max_number
							for i in range(2			,				isqrt(max_number - 1       ) + 1       ):
														if is_prime[i]:
																					for j in range(i**2			,				SCREAMING_SNAKE_CASE__			,				SCREAMING_SNAKE_CASE__       ):
																												SCREAMING_SNAKE_CASE__       :      Optional[int]     =						False

							return [i for i in range(2			,				SCREAMING_SNAKE_CASE__       ) if is_prime[i]]




def _a (  SCREAMING_SNAKE_CASE__      :  int = 80_08_00			,				SCREAMING_SNAKE_CASE__      :  int = 80_08_00       )	->    int:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__       :      Optional[Any]     =						degree * loga(SCREAMING_SNAKE_CASE__       )
							SCREAMING_SNAKE_CASE__       :      int     =						int(SCREAMING_SNAKE_CASE__       )
							SCREAMING_SNAKE_CASE__       :      int     =						calculate_prime_numbers(SCREAMING_SNAKE_CASE__       )

							SCREAMING_SNAKE_CASE__       :      Dict     =						0
							SCREAMING_SNAKE_CASE__       :      str     =						0
							SCREAMING_SNAKE_CASE__       :      List[str]     =						len(SCREAMING_SNAKE_CASE__       ) - 1
							while left < right:
														while (
														    prime_numbers[right] * loga(prime_numbers[left]       )
														    + prime_numbers[left] * loga(prime_numbers[right]       )
														    > upper_bound
														):
																					right -= 1
														hybrid_integers_count += right - left
														left += 1

							return hybrid_integers_count


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













import qiskit




def _a (  SCREAMING_SNAKE_CASE__      :  int			,				SCREAMING_SNAKE_CASE__      :  int       )	->    qiskit.result.counts.Counts:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__       :      Union[str, Any]     =						qiskit.Aer.get_backend("aer_simulator"       )

							# Create a Quantum Circuit acting on the q register
							SCREAMING_SNAKE_CASE__       :      List[Any]     =						qiskit.QuantumCircuit(SCREAMING_SNAKE_CASE__			,				SCREAMING_SNAKE_CASE__       )

							# Apply X (NOT) Gate to Qubits 0 & 1
							circuit.x(0       )
							circuit.x(1       )

							# Map the quantum measurement to the classical bits
							circuit.measure([0, 1]			,				[0, 1]       )

							# Execute the circuit on the qasm simulator
							SCREAMING_SNAKE_CASE__       :      int     =						qiskit.execute(SCREAMING_SNAKE_CASE__			,				SCREAMING_SNAKE_CASE__			,				shots=10_00       )

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


if __name__ == "__main__":
		_lowerCamelCase :    List[str]  							= single_qubit_measure(2, 2)
		print(f"Total count for various states are: {counts}")






