


"""simple docstring"""
from math import isqrt, loga







def 						_a				(      _SCREAMING_SNAKE_CASE				)    ->				list[int]:
							snake_case_           =		[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				):
																												snake_case_           =		False

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







def 						_a				(      _SCREAMING_SNAKE_CASE = 800_800				, _SCREAMING_SNAKE_CASE = 800_800				)    ->				int:
							snake_case_           =		degree * loga(_SCREAMING_SNAKE_CASE				)
							snake_case_           =		int(_SCREAMING_SNAKE_CASE				)
							snake_case_           =		calculate_prime_numbers(_SCREAMING_SNAKE_CASE				)

							snake_case_           =		0
							snake_case_           =		0
							snake_case_           =		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() = }""")







"""simple docstring"""
from __future__ import annotations







def 						_a				(      _SCREAMING_SNAKE_CASE				, _SCREAMING_SNAKE_CASE				)    ->				list[int]:
							snake_case_           =		0
							snake_case_           =		len(_SCREAMING_SNAKE_CASE				) - 1

							while i < j:
														if nums[i] + nums[j] == target:
																					return [i, j]
														elif nums[i] + nums[j] < target:
																					snake_case_           =		i + 1
														else:
																					snake_case_           =		j - 1

							return []


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				print(f"""{two_pointer([2, 7, 11, 15], 9) = }""")



