





from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
    is_vision_available,
)


UpperCamelCase__											= {
    "configuration_layoutlmv3": [
        "LAYOUTLMV3_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "LayoutLMv3Config",
        "LayoutLMv3OnnxConfig",
    ],
    "processing_layoutlmv3": ["LayoutLMv3Processor"],
    "tokenization_layoutlmv3": ["LayoutLMv3Tokenizer"],
}

try:
					if not is_tokenizers_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCamelCase__											= ["LayoutLMv3TokenizerFast"]

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCamelCase__											= [
					    "LAYOUTLMV3_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "LayoutLMv3ForQuestionAnswering",
					    "LayoutLMv3ForSequenceClassification",
					    "LayoutLMv3ForTokenClassification",
					    "LayoutLMv3Model",
					    "LayoutLMv3PreTrainedModel",
					]

try:
					if not is_tf_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCamelCase__											= [
					    "TF_LAYOUTLMV3_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "TFLayoutLMv3ForQuestionAnswering",
					    "TFLayoutLMv3ForSequenceClassification",
					    "TFLayoutLMv3ForTokenClassification",
					    "TFLayoutLMv3Model",
					    "TFLayoutLMv3PreTrainedModel",
					]

try:
					if not is_vision_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCamelCase__											= ["LayoutLMv3FeatureExtractor"]
					UpperCamelCase__											= ["LayoutLMv3ImageProcessor"]


if TYPE_CHECKING:
					from .configuration_layoutlmva import (
					    LAYOUTLMV3_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    LayoutLMvaConfig,
					    LayoutLMvaOnnxConfig,
					)
					from .processing_layoutlmva import LayoutLMvaProcessor
					from .tokenization_layoutlmva import LayoutLMvaTokenizer

					try:
										if not is_tokenizers_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .tokenization_layoutlmva_fast import LayoutLMvaTokenizerFast

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_layoutlmva import (
										    LAYOUTLMV3_PRETRAINED_MODEL_ARCHIVE_LIST,
										    LayoutLMvaForQuestionAnswering,
										    LayoutLMvaForSequenceClassification,
										    LayoutLMvaForTokenClassification,
										    LayoutLMvaModel,
										    LayoutLMvaPreTrainedModel,
										)

					try:
										if not is_tf_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_tf_layoutlmva import (
										    TF_LAYOUTLMV3_PRETRAINED_MODEL_ARCHIVE_LIST,
										    TFLayoutLMvaForQuestionAnswering,
										    TFLayoutLMvaForSequenceClassification,
										    TFLayoutLMvaForTokenClassification,
										    TFLayoutLMvaModel,
										    TFLayoutLMvaPreTrainedModel,
										)

					try:
										if not is_vision_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .feature_extraction_layoutlmva import LayoutLMvaFeatureExtractor
										from .image_processing_layoutlmva import LayoutLMvaImageProcessor

else:
					import sys

					UpperCamelCase__											= _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)











import math





def     _UpperCamelCase     (a__   :int       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[True] * n
							UpperCamelCase__				     =			False
							UpperCamelCase__				     =			False
							UpperCamelCase__				     =			True

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

							UpperCamelCase__				     =			[2]

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

							return primes





def     _UpperCamelCase     (a__   :int = 9999_6666_3333       ):






							"""simple docstring"""





							UpperCamelCase__				     =			math.floor(math.sqrt(a__       )       ) + 100
							UpperCamelCase__				     =			prime_sieve(a__       )

							UpperCamelCase__				     =			0
							UpperCamelCase__				     =			0
							UpperCamelCase__				     =			primes[prime_index]

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

														UpperCamelCase__				     =			last_prime**2
														UpperCamelCase__				     =			next_prime**2

														# Get numbers divisible by lps(current)
														UpperCamelCase__				     =			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)
														UpperCamelCase__				     =			upper_bound - next_prime
														while current > lower_bound:
																					matches_sum += current
																					current -= next_prime

														# Remove the numbers divisible by both ups and lps
														UpperCamelCase__				     =			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
														UpperCamelCase__				     =			next_prime
														prime_index += 1

							return matches_sum


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




