




from typing import TYPE_CHECKING

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


lowerCamelCase__					:  Optional[Any]      							=				{
    'configuration_autoformer': [
        'AUTOFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'AutoformerConfig',
    ],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   lowerCamelCase__					:  List[str]      							=				[
       'AUTOFORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
       'AutoformerForPrediction',
       'AutoformerModel',
       'AutoformerPreTrainedModel',
   ]


if TYPE_CHECKING:
   from .configuration_autoformer import (
       AUTOFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
       AutoformerConfig,
   )

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_autoformer import (
          AUTOFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
          AutoformerForPrediction,
          AutoformerModel,
          AutoformerPreTrainedModel,
      )

else:
   import sys

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





from __future__ import annotations

from collections.abc import Generator

def    UpperCAmelCase_				( )   ->					Generator[int, None, None]:
      SCREAMING_SNAKE_CASE_      		=     {}
      SCREAMING_SNAKE_CASE_      		=     2
      while True:
            SCREAMING_SNAKE_CASE_      		=     factor_map.pop(__UpperCAmelCase     ,     __UpperCAmelCase				)
            if factor:
                  SCREAMING_SNAKE_CASE_      		=     factor + prime
                  while x in factor_map:
                        x += factor
                  SCREAMING_SNAKE_CASE_      		=     factor
            else:
                  SCREAMING_SNAKE_CASE_      		=     prime
                  yield prime
            prime += 1

def    UpperCAmelCase_				( __UpperCAmelCase		:      float = 1E10				)   ->					int:
      SCREAMING_SNAKE_CASE_      		=     sieve()

      SCREAMING_SNAKE_CASE_      		=     1
      while True:
            SCREAMING_SNAKE_CASE_      		=     next(__UpperCAmelCase				)
            if (2 * prime * n) > limit:
                  return n
            # Ignore the next prime as the reminder will be 2.
            next(__UpperCAmelCase				)
            n += 2


if __name__ == "__main__":
   print(solution())