
import math
def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_     )				->		list[int]:
			lowerCAmelCase__      :      List[Any]         =		[]
			lowerCAmelCase__      :      Dict         =		2
			lowerCAmelCase__      :      Union[str, Any]         =		int(math.sqrt(_UpperCamelCase     )     )  # Size of every segment
			lowerCAmelCase__      :      Tuple         =		[True] * (end + 1)
			lowerCAmelCase__      :      int         =		[]

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

			lowerCAmelCase__      :      Optional[int]         =		end + 1
			lowerCAmelCase__      :      Dict         =		min(2 * end       ,							_UpperCamelCase     )

			while low <= n:
						lowerCAmelCase__      :      Union[str, Any]         =		[True] * (high - low + 1)
						for each in in_prime:
									lowerCAmelCase__      :      Dict         =		math.floor(low / each     ) * each
									if t < low:
												t += each

									for j in range(_UpperCamelCase       ,							high + 1       ,							_UpperCamelCase     ):
												lowerCAmelCase__      :      Tuple         =		False

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

						lowerCAmelCase__      :      Tuple         =		high + 1
						lowerCAmelCase__      :      Optional[int]         =		min(high + end       ,							_UpperCamelCase     )

			return prime







print(sieve(10**6))



"""simple docstring"""






# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


UpperCAmelCase    :     Union[str, Any]   						=		{'configuration_mra': ['MRA_PRETRAINED_CONFIG_ARCHIVE_MAP', 'MraConfig']}

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase    :     int   						=		[
							    'MRA_PRETRAINED_MODEL_ARCHIVE_LIST',
							    'MraForMaskedLM',
							    'MraForMultipleChoice',
							    'MraForQuestionAnswering',
							    'MraForSequenceClassification',
							    'MraForTokenClassification',
							    'MraLayer',
							    'MraModel',
							    'MraPreTrainedModel',
							]


if TYPE_CHECKING:
							from .configuration_mra import MRA_PRETRAINED_CONFIG_ARCHIVE_MAP, MraConfig

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_mra import (
														    MRA_PRETRAINED_MODEL_ARCHIVE_LIST,
														    MraForMaskedLM,
														    MraForMultipleChoice,
														    MraForQuestionAnswering,
														    MraForSequenceClassification,
														    MraForTokenClassification,
														    MraLayer,
														    MraModel,
														    MraPreTrainedModel,
														)
else:
							import sys

							UpperCAmelCase    :     Tuple   						=		_LazyModule(__name__, globals()['__file__'], _import_structure)
