
'''simple docstring'''







import math







def 				SCREAMING_SNAKE_CASE__	(   __A	)       ->	list:
	_snake_case   						=		[True] * n
	_snake_case   						=		False
	_snake_case   						=		False
	_snake_case   						=		True

	for i in range(3			,				int(n**0.5 + 1	)			,				2	):
		_snake_case   						=		i * 2
		while index < n:
			_snake_case   						=		False
			_snake_case   						=		index + i

	_snake_case   						=		[2]

	for i in range(3			,				__A			,				2	):
		if is_prime[i]:
			primes.append(__A	)

	return primes







def 				SCREAMING_SNAKE_CASE__	(   __A = 999_966_663_333	)       ->	int:
	_snake_case   						=		math.floor(math.sqrt(__A	)	) + 100
	_snake_case   						=		prime_sieve(__A	)

	_snake_case   						=		0
	_snake_case   						=		0
	_snake_case   						=		primes[prime_index]

	while (last_prime**2) <= limit:
		_snake_case   						=		primes[prime_index + 1]

		_snake_case   						=		last_prime**2
		_snake_case   						=		next_prime**2

		# Get numbers divisible by lps(current)
		_snake_case   						=		lower_bound + last_prime
		while upper_bound > current <= limit:
			matches_sum += current
			current += last_prime

		# Reset the upper_bound
		while (upper_bound - next_prime) > limit:
			upper_bound -= next_prime

		# Add the numbers divisible by ups(current)
		_snake_case   						=		upper_bound - next_prime
		while current > lower_bound:
			matches_sum += current
			current -= next_prime

		# Remove the numbers divisible by both ups and lps
		_snake_case   						=		0
		while upper_bound > current <= limit:
			if current <= lower_bound:
				# Increment the current number
				current += last_prime * next_prime
				continue

			if current > limit:
				break

			# Remove twice since it was added by both ups and lps
			matches_sum -= current * 2

			# Increment the current number
			current += last_prime * next_prime

		# Setup for next pair
		_snake_case   						=		next_prime
		prime_index += 1

	return matches_sum


if __name__ == "__main__":
					print(solution())



'''simple docstring'''







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowercase    :							Any      =					{
    "configuration_chinese_clip": [
        "CHINESE_CLIP_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "ChineseCLIPConfig",
        "ChineseCLIPOnnxConfig",
        "ChineseCLIPTextConfig",
        "ChineseCLIPVisionConfig",
    ],
    "processing_chinese_clip": ["ChineseCLIPProcessor"],
}

try:
					if not is_vision_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase    :							Optional[Any]      =					["ChineseCLIPFeatureExtractor"]
					lowercase    :							List[Any]      =					["ChineseCLIPImageProcessor"]

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase    :							Any      =					[
					    "CHINESE_CLIP_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "ChineseCLIPModel",
					    "ChineseCLIPPreTrainedModel",
					    "ChineseCLIPTextModel",
					    "ChineseCLIPVisionModel",
					]

if TYPE_CHECKING:
					from .configuration_chinese_clip import (
					    CHINESE_CLIP_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    ChineseCLIPConfig,
					    ChineseCLIPOnnxConfig,
					    ChineseCLIPTextConfig,
					    ChineseCLIPVisionConfig,
					)
					from .processing_chinese_clip import ChineseCLIPProcessor

					try:
										if not is_vision_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .feature_extraction_chinese_clip import ChineseCLIPFeatureExtractor, ChineseCLIPImageProcessor

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_chinese_clip import (
										    CHINESE_CLIP_PRETRAINED_MODEL_ARCHIVE_LIST,
										    ChineseCLIPModel,
										    ChineseCLIPPreTrainedModel,
										    ChineseCLIPTextModel,
										    ChineseCLIPVisionModel,
										)

else:
					import sys

					lowercase    :							List[Any]      =					_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)

