
import math


def 			UpperCAmelCase_     (  __lowerCAmelCase		)       ->  Tuple:
    __lowercase						:	Optional[int]					=				[]
    __lowercase						:	int					=				2
    __lowercase						:	List[Any]					=				int(math.sqrt(UpperCamelCase__		)		)  # Size of every segment
    __lowercase						:	Optional[Any]					=				[True] * (end + 1)
    __lowercase						:	Optional[Any]					=				[]

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

    __lowercase						:	Any					=				end + 1
    __lowercase						:	List[Any]					=				min(2 * end		,    UpperCamelCase__		)

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

            for j in range(UpperCamelCase__		,    high + 1		,    UpperCamelCase__		):
                __lowercase						:	str					=				False

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

        __lowercase						:	str					=				high + 1
        __lowercase						:	Optional[int]					=				min(high + end		,    UpperCamelCase__		)

    return prime





print(sieve(10**6))







"""simple docstring"""
from typing import TYPE_CHECKING

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


_lowerCAmelCase    :str     =					{
    'configuration_squeezebert': [
        'SQUEEZEBERT_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'SqueezeBertConfig',
        'SqueezeBertOnnxConfig',
    ],
    'tokenization_squeezebert': ['SqueezeBertTokenizer'],
}

try:
  if not is_tokenizers_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  _lowerCAmelCase    :Optional[int]     =					['SqueezeBertTokenizerFast']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  _lowerCAmelCase    :str     =					[
      'SQUEEZEBERT_PRETRAINED_MODEL_ARCHIVE_LIST',
      'SqueezeBertForMaskedLM',
      'SqueezeBertForMultipleChoice',
      'SqueezeBertForQuestionAnswering',
      'SqueezeBertForSequenceClassification',
      'SqueezeBertForTokenClassification',
      'SqueezeBertModel',
      'SqueezeBertModule',
      'SqueezeBertPreTrainedModel',
  ]


if TYPE_CHECKING:
  from .configuration_squeezebert import (
      SQUEEZEBERT_PRETRAINED_CONFIG_ARCHIVE_MAP,
      SqueezeBertConfig,
      SqueezeBertOnnxConfig,
  )
  from .tokenization_squeezebert import SqueezeBertTokenizer

  try:
    if not is_tokenizers_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .tokenization_squeezebert_fast import SqueezeBertTokenizerFast

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_squeezebert import (
        SQUEEZEBERT_PRETRAINED_MODEL_ARCHIVE_LIST,
        SqueezeBertForMaskedLM,
        SqueezeBertForMultipleChoice,
        SqueezeBertForQuestionAnswering,
        SqueezeBertForSequenceClassification,
        SqueezeBertForTokenClassification,
        SqueezeBertModel,
        SqueezeBertModule,
        SqueezeBertPreTrainedModel,
    )

else:
  import sys

  _lowerCAmelCase    :Optional[Any]     =					_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)


