import math




def       _snake_case	(   lowerCAmelCase							:   int	):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		List[Any]				      =    [True] * n
		SCREAMING_SNAKE_CASE_  :		Dict				      =    False
		SCREAMING_SNAKE_CASE_  :		Any				      =    False
		SCREAMING_SNAKE_CASE_  :		str				      =    True

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

		SCREAMING_SNAKE_CASE_  :		Dict				      =    [2]

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

		return primes




def       _snake_case	(   lowerCAmelCase							:   int = 9_9_9_9_6_6_6_6_3_3_3_3	):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		Dict				      =    math.floor(math.sqrt(lowerCAmelCase	)	) + 1_0_0
		SCREAMING_SNAKE_CASE_  :		List[str]				      =    prime_sieve(lowerCAmelCase	)

		SCREAMING_SNAKE_CASE_  :		Tuple				      =    0
		SCREAMING_SNAKE_CASE_  :		Optional[Any]				      =    0
		SCREAMING_SNAKE_CASE_  :		Tuple				      =    primes[prime_index]

		while (last_prime**2) <= limit:
				SCREAMING_SNAKE_CASE_  :		Union[str, Any]				      =    primes[prime_index + 1]

				SCREAMING_SNAKE_CASE_  :		Dict				      =    last_prime**2
				SCREAMING_SNAKE_CASE_  :		Dict				      =    next_prime**2

				# Get numbers divisible by lps(current)
				SCREAMING_SNAKE_CASE_  :		str				      =    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)
				SCREAMING_SNAKE_CASE_  :		Optional[int]				      =    upper_bound - next_prime
				while current > lower_bound:
						matches_sum += current
						current -= next_prime

				# Remove the numbers divisible by both ups and lps
				SCREAMING_SNAKE_CASE_  :		List[Any]				      =    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
				SCREAMING_SNAKE_CASE_  :		List[str]				      =    next_prime
				prime_index += 1

		return matches_sum


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

from typing import TYPE_CHECKING

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


__lowerCamelCase					:	Union[str, 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:
		__lowerCamelCase					:	Any       =  ['''ChineseCLIPFeatureExtractor''']
		__lowerCamelCase					:	Optional[int]       =  ['''ChineseCLIPImageProcessor''']

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__lowerCamelCase					:	int       =  [
		    '''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

		__lowerCamelCase					:	Any       =  _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)
