





import math
from collections.abc import Generator



def 							lowerCAmelCase_				(    A_):
    UpperCamelCase__:					Generator												=      (i for i in range(1  ,(max_n + 1)))
    for i in (n for n in numbers if n > 1):
        for j in range(2  ,A_):
            if (i % j) == 0:
                break
        else:
            yield i



def 							lowerCAmelCase_				(    A_):
    UpperCamelCase__:					Generator												=      (i for i in range(1  ,(max_n + 1)))
    for i in (n for n in numbers if n > 1):
        # only need to check for factors up to sqrt(i)
        UpperCamelCase__:					Optional[int]												=      int(math.sqrt(A_)) + 1
        for j in range(2  ,A_):
            if (i % j) == 0:
                break
        else:
            yield i



def 							lowerCAmelCase_				(    A_):
    UpperCamelCase__:					Generator												=      (i for i in range(1  ,(max_n + 1)  ,2))
    # It's useless to test even numbers as they will not be prime
    if max_n > 2:
        yield 2  # Because 2 will not be tested, it's necessary to yield it now
    for i in (n for n in numbers if n > 1):
        UpperCamelCase__:					List[Any]												=      int(math.sqrt(A_)) + 1
        for j in range(3  ,A_  ,2):
            # As we removed the even numbers, we don't need them now
            if (i % j) == 0:
                break
        else:
            yield i



def 							lowerCAmelCase_				(    ):
    from timeit import timeit

    UpperCamelCase__:					List[Any]												=      "from __main__ import slow_primes, primes, fast_primes"
    print(timeit("slow_primes(1_000_000_000_000)"  ,setup=A_  ,number=1_00_00_00))
    print(timeit("primes(1_000_000_000_000)"  ,setup=A_  ,number=1_00_00_00))
    print(timeit("fast_primes(1_000_000_000_000)"  ,setup=A_  ,number=1_00_00_00))


if __name__ == "__main__":
   A__:  int       					=					int(input('''Calculate primes up to:\n>> ''').strip())
   for ret in primes(number):
      print(ret)
   benchmark()








from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


A__:  List[str]       					=					{
    '''configuration_wav2vec2_conformer''': [
        '''WAV2VEC2_CONFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''Wav2Vec2ConformerConfig''',
    ],
}


try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   A__:  int       					=					[
       '''WAV2VEC2_CONFORMER_PRETRAINED_MODEL_ARCHIVE_LIST''',
       '''Wav2Vec2ConformerForAudioFrameClassification''',
       '''Wav2Vec2ConformerForCTC''',
       '''Wav2Vec2ConformerForPreTraining''',
       '''Wav2Vec2ConformerForSequenceClassification''',
       '''Wav2Vec2ConformerForXVector''',
       '''Wav2Vec2ConformerModel''',
       '''Wav2Vec2ConformerPreTrainedModel''',
   ]

if TYPE_CHECKING:
   from .configuration_wavaveca_conformer import (
       WAV2VEC2_CONFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
       WavaVecaConformerConfig,
   )

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_wavaveca_conformer import (
          WAV2VEC2_CONFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
          WavaVecaConformerForAudioFrameClassification,
          WavaVecaConformerForCTC,
          WavaVecaConformerForPreTraining,
          WavaVecaConformerForSequenceClassification,
          WavaVecaConformerForXVector,
          WavaVecaConformerModel,
          WavaVecaConformerPreTrainedModel,
      )

else:
   import sys

   A__:  Dict       					=					_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)

