

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


a_     :    List[str]     		=   {
    "configuration_xlm_roberta_xl": [
        "XLM_ROBERTA_XL_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "XLMRobertaXLConfig",
        "XLMRobertaXLOnnxConfig",
    ],
}

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      a_     :    Optional[int]     		=   [
          "XLM_ROBERTA_XL_PRETRAINED_MODEL_ARCHIVE_LIST",
          "XLMRobertaXLForCausalLM",
          "XLMRobertaXLForMaskedLM",
          "XLMRobertaXLForMultipleChoice",
          "XLMRobertaXLForQuestionAnswering",
          "XLMRobertaXLForSequenceClassification",
          "XLMRobertaXLForTokenClassification",
          "XLMRobertaXLModel",
          "XLMRobertaXLPreTrainedModel",
      ]

if TYPE_CHECKING:
      from .configuration_xlm_roberta_xl import (
          XLM_ROBERTA_XL_PRETRAINED_CONFIG_ARCHIVE_MAP,
          XLMRobertaXLConfig,
          XLMRobertaXLOnnxConfig,
      )

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_xlm_roberta_xl import (
                XLM_ROBERTA_XL_PRETRAINED_MODEL_ARCHIVE_LIST,
                XLMRobertaXLForCausalLM,
                XLMRobertaXLForMaskedLM,
                XLMRobertaXLForMultipleChoice,
                XLMRobertaXLForQuestionAnswering,
                XLMRobertaXLForSequenceClassification,
                XLMRobertaXLForTokenClassification,
                XLMRobertaXLModel,
                XLMRobertaXLPreTrainedModel,
            )

else:
      import sys

      a_     :    List[Any]     		=   _LazyModule(__name__, globals()["__file__"], _import_structure)




import math


def 							__lowerCAmelCase     (							_UpperCamelCase		:	int						)		->				list[int]:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE		    =      []
 SCREAMING_SNAKE_CASE		    =      2
 SCREAMING_SNAKE_CASE		    =      int(math.sqrt(_UpperCamelCase						)						)  # Size of every segment
 SCREAMING_SNAKE_CASE		    =      [True] * (end + 1)
 SCREAMING_SNAKE_CASE		    =      []

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

 SCREAMING_SNAKE_CASE		    =      end + 1
 SCREAMING_SNAKE_CASE		    =      min(2 * end		,				_UpperCamelCase						)

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

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

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

  SCREAMING_SNAKE_CASE		    =      high + 1
  SCREAMING_SNAKE_CASE		    =      min(high + end		,				_UpperCamelCase						)

 return prime




print(sieve(10**6))

