

from math import isqrt, loga






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__      )  ->					list[int]:
	__lowerCamelCase    :    Any 	=			[True] * max_number
	for i in range(2     ,			isqrt(max_number - 1      ) + 1      ):
		if is_prime[i]:
			for j in range(i**2     ,			lowerCamelCase__     ,			lowerCamelCase__      ):
				__lowerCamelCase    :    List[str] 	=			False

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






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__ = 8_0_0_8_0_0     ,			lowerCamelCase__ = 8_0_0_8_0_0      )  ->					int:
	__lowerCamelCase    :    str 	=			degree * loga(lowerCamelCase__      )
	__lowerCamelCase    :    Optional[int] 	=			int(lowerCamelCase__      )
	__lowerCamelCase    :    Tuple 	=			calculate_prime_numbers(lowerCamelCase__      )

	__lowerCamelCase    :    List[str] 	=			0
	__lowerCamelCase    :    str 	=			0
	__lowerCamelCase    :    List[Any] 	=			len(lowerCamelCase__      ) - 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() = }""")







from typing import TYPE_CHECKING

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


a		={
    """configuration_mask2former""": [
        """MASK2FORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """Mask2FormerConfig""",
    ],
}

try:
					if not is_vision_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					a		=["""Mask2FormerImageProcessor"""]

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					a		=[
					    """MASK2FORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
					    """Mask2FormerForUniversalSegmentation""",
					    """Mask2FormerModel""",
					    """Mask2FormerPreTrainedModel""",
					]

if TYPE_CHECKING:
					from .configuration_maskaformer import MASK2FORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, MaskaFormerConfig

					try:
										if not is_vision_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .image_processing_maskaformer import MaskaFormerImageProcessor

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_maskaformer import (
										    MASK2FORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
										    MaskaFormerForUniversalSegmentation,
										    MaskaFormerModel,
										    MaskaFormerPreTrainedModel,
										)


else:
					import sys

					a		=_LazyModule(__name__, globals()["""__file__"""], _import_structure)




