

"""simple docstring"""






from math import isqrt, loga



def   lowercase_	(    _lowercase       :		int	):




					'''simple docstring'''






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

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



def   lowercase_	(    _lowercase       :		int = 80_08_00							,      _lowercase       :		int = 80_08_00	):




					'''simple docstring'''






					UpperCAmelCase			:   Any      =				degree * loga(_lowercase	)
					UpperCAmelCase			:   Any      =				int(_lowercase	)
					UpperCAmelCase			:   str      =				calculate_prime_numbers(_lowercase	)

					UpperCAmelCase			:   Union[str, Any]      =				0
					UpperCAmelCase			:   Optional[Any]      =				0
					UpperCAmelCase			:   str      =				len(_lowercase	) - 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"""






snake_case_   :   List[str]        =       6_5_5_2_1



def   lowercase_	(    _lowercase       :		str	):




					'''simple docstring'''






					UpperCAmelCase			:   Dict      =				1
					UpperCAmelCase			:   Optional[int]      =				0
					for plain_chr in plain_text:
										UpperCAmelCase			:   int      =				(a + ord(_lowercase	)) % MOD_ADLER
										UpperCAmelCase			:   str      =				(b + a) % MOD_ADLER
					return (b << 16) | a


