



from itertools import compress, repeat
from math import ceil, sqrt







def    lowerCAmelCase_  (lowerCAmelCase__:		int     ):





			"""simple docstring"""


			if num <= 2:
						return []
			if num == 3:
						return [2]

			# Odd sieve for numbers in range [3, num - 1]
			UpperCAmelCase_:		List[str]       			=    bytearray(B"""\x01"""     ) * ((num >> 1) - 1)

			for i in range(3		,	int(sqrt(lowerCAmelCase__     )     ) + 1		,	2     ):
						if sieve[(i >> 1) - 1]:
									UpperCAmelCase_:		Optional[int]       			=    i**2
									UpperCAmelCase_:		Any       			=    repeat(
									    0		,	ceil((num - i_squared) / (i << 1)     )     )

			return [2] + list(compress(range(3		,	lowerCAmelCase__		,	2     )		,	lowerCAmelCase__     )     )


if __name__ == "__main__":
	import doctest

	doctest.testmod()











from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


a			:     List[str]     = {'configuration_visual_bert': ['VISUAL_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'VisualBertConfig']}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	a			:     List[str]     = [
	    'VISUAL_BERT_PRETRAINED_MODEL_ARCHIVE_LIST',
	    'VisualBertForMultipleChoice',
	    'VisualBertForPreTraining',
	    'VisualBertForQuestionAnswering',
	    'VisualBertForRegionToPhraseAlignment',
	    'VisualBertForVisualReasoning',
	    'VisualBertLayer',
	    'VisualBertModel',
	    'VisualBertPreTrainedModel',
	]


if TYPE_CHECKING:
	from .configuration_visual_bert import VISUAL_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP, VisualBertConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_visual_bert import (
		    VISUAL_BERT_PRETRAINED_MODEL_ARCHIVE_LIST,
		    VisualBertForMultipleChoice,
		    VisualBertForPreTraining,
		    VisualBertForQuestionAnswering,
		    VisualBertForRegionToPhraseAlignment,
		    VisualBertForVisualReasoning,
		    VisualBertLayer,
		    VisualBertModel,
		    VisualBertPreTrainedModel,
		)


else:
	import sys

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






