
"""simple docstring"""





import math
from collections.abc import Generator







def       __a	(						__lowerCamelCase    ):
   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,						__lowerCamelCase    ):
         if (i % j) == 0:
            break
      else:
         yield i







def       __a	(						__lowerCamelCase    ):
   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(__lowerCamelCase    )    ) + 1
      for j in range(2,						__lowerCamelCase    ):
         if (i % j) == 0:
            break
      else:
         yield i







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







def       __a	(						):
   from timeit import timeit

   UpperCAmelCase_   :   List[str]     	=       "from __main__ import slow_primes, primes, fast_primes"
   print(timeit("slow_primes(1_000_000_000_000)",						setup=__lowerCamelCase,						number=100_0000    )    )
   print(timeit("primes(1_000_000_000_000)",						setup=__lowerCamelCase,						number=100_0000    )    )
   print(timeit("fast_primes(1_000_000_000_000)",						setup=__lowerCamelCase,						number=100_0000    )    )


if __name__ == "__main__":
    _a									=				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_tokenizers_available, is_torch_available


__a							:						int   							=			{
    'configuration_markuplm': ['MARKUPLM_PRETRAINED_CONFIG_ARCHIVE_MAP', 'MarkupLMConfig'],
    'feature_extraction_markuplm': ['MarkupLMFeatureExtractor'],
    'processing_markuplm': ['MarkupLMProcessor'],
    'tokenization_markuplm': ['MarkupLMTokenizer'],
}

try:
	if not is_tokenizers_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	__a							:						List[Any]   							=			['MarkupLMTokenizerFast']

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	__a							:						List[Any]   							=			[
	    'MARKUPLM_PRETRAINED_MODEL_ARCHIVE_LIST',
	    'MarkupLMForQuestionAnswering',
	    'MarkupLMForSequenceClassification',
	    'MarkupLMForTokenClassification',
	    'MarkupLMModel',
	    'MarkupLMPreTrainedModel',
	]


if TYPE_CHECKING:
	from .configuration_markuplm import MARKUPLM_PRETRAINED_CONFIG_ARCHIVE_MAP, MarkupLMConfig
	from .feature_extraction_markuplm import MarkupLMFeatureExtractor
	from .processing_markuplm import MarkupLMProcessor
	from .tokenization_markuplm import MarkupLMTokenizer

	try:
		if not is_tokenizers_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .tokenization_markuplm_fast import MarkupLMTokenizerFast

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_markuplm import (
		    MARKUPLM_PRETRAINED_MODEL_ARCHIVE_LIST,
		    MarkupLMForQuestionAnswering,
		    MarkupLMForSequenceClassification,
		    MarkupLMForTokenClassification,
		    MarkupLMModel,
		    MarkupLMPreTrainedModel,
		)


else:
	import sys

	__a							:						Tuple   							=			_LazyModule(__name__, globals()['__file__'], _import_structure)


