



import math






def       __lowercase  (_SCREAMING_SNAKE_CASE      :int       ):
				SCREAMING_SNAKE_CASE  :						Any      					= []
				SCREAMING_SNAKE_CASE  :						Optional[int]      					= 2
				SCREAMING_SNAKE_CASE  :						List[str]      					= int(math.sqrt(_UpperCamelCase       )       )  # Size of every segment
				SCREAMING_SNAKE_CASE  :						str      					= [True] * (end + 1)
				SCREAMING_SNAKE_CASE  :						Optional[int]      					= []

				while start <= end:
								if temp[start] is True:
												in_prime.append(_UpperCamelCase       )
												for i in range(start * start    ,	end + 1    ,	_UpperCamelCase       ):
																SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= False
								start += 1
				prime += in_prime

				SCREAMING_SNAKE_CASE  :						Optional[Any]      					= end + 1
				SCREAMING_SNAKE_CASE  :						str      					= min(2 * end    ,	_UpperCamelCase       )

				while low <= n:
								SCREAMING_SNAKE_CASE  :						Optional[Any]      					= [True] * (high - low + 1)
								for each in in_prime:
												SCREAMING_SNAKE_CASE  :						Tuple      					= math.floor(low / each       ) * each
												if t < low:
																t += each

												for j in range(_UpperCamelCase    ,	high + 1    ,	_UpperCamelCase       ):
																SCREAMING_SNAKE_CASE  :						Optional[int]      					= False

								for j in range(len(_UpperCamelCase       )       ):
												if temp[j] is True:
																prime.append(j + low       )

								SCREAMING_SNAKE_CASE  :						Any      					= high + 1
								SCREAMING_SNAKE_CASE  :						Optional[Any]      					= min(high + end    ,	_UpperCamelCase       )

				return prime




print(sieve(10**6))









'''simple docstring'''

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


snake_case_			=     {
    """configuration_timesformer""": ["""TIMESFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""", """TimesformerConfig"""],
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	snake_case_			=     [
	    """TIMESFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
	    """TimesformerModel""",
	    """TimesformerForVideoClassification""",
	    """TimesformerPreTrainedModel""",
	]

if TYPE_CHECKING:
	from .configuration_timesformer import TIMESFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, TimesformerConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_timesformer import (
		    TIMESFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
		    TimesformerForVideoClassification,
		    TimesformerModel,
		    TimesformerPreTrainedModel,
		)

else:
	import sys

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




