



'''simple docstring'''


import math
from collections.abc import Generator






def 			UpperCAmelCase_							(		lowercase__							):


     '''simple docstring'''







     a_									=(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							,						lowercase__							):
               if (i % j) == 0:
                    break
          else:
               yield i






def 			UpperCAmelCase_							(		lowercase__							):


     '''simple docstring'''







     a_									=(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)
          a_									=int(math.sqrt(lowercase__							)							) + 1
          for j in range(2							,						lowercase__							):
               if (i % j) == 0:
                    break
          else:
               yield i






def 			UpperCAmelCase_							(		lowercase__							):


     '''simple docstring'''







     a_									=(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):
          a_									=int(math.sqrt(lowercase__							)							) + 1
          for j in range(3							,						lowercase__							,						2							):
               # As we removed the even numbers, we don't need them now
               if (i % j) == 0:
                    break
          else:
               yield i






def 			UpperCAmelCase_							(		):


     '''simple docstring'''







     from timeit import timeit

     a_									="from __main__ import slow_primes, primes, fast_primes"
     print(timeit("slow_primes(1_000_000_000_000)"							,						setup=lowercase__							,						number=1_0_0_0_0_0_0							)							)
     print(timeit("primes(1_000_000_000_000)"							,						setup=lowercase__							,						number=1_0_0_0_0_0_0							)							)
     print(timeit("fast_primes(1_000_000_000_000)"							,						setup=lowercase__							,						number=1_0_0_0_0_0_0							)							)


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







'''simple docstring'''


from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


lowercase											=      {
    '''configuration_align''': [
        '''ALIGN_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''AlignConfig''',
        '''AlignTextConfig''',
        '''AlignVisionConfig''',
    ],
    '''processing_align''': ['''AlignProcessor'''],
}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  lowercase											=      [
      '''ALIGN_PRETRAINED_MODEL_ARCHIVE_LIST''',
      '''AlignModel''',
      '''AlignPreTrainedModel''',
      '''AlignTextModel''',
      '''AlignVisionModel''',
  ]

if TYPE_CHECKING:
  from .configuration_align import (
      ALIGN_PRETRAINED_CONFIG_ARCHIVE_MAP,
      AlignConfig,
      AlignTextConfig,
      AlignVisionConfig,
  )
  from .processing_align import AlignProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_align import (
        ALIGN_PRETRAINED_MODEL_ARCHIVE_LIST,
        AlignModel,
        AlignPreTrainedModel,
        AlignTextModel,
        AlignVisionModel,
    )

else:
  import sys

  lowercase											=      _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)


