


'''simple docstring'''


from ...configuration_utils import PretrainedConfig
from ...utils import logging


_UpperCamelCase          =     logging.get_logger(__name__)

_UpperCamelCase          =     {
    '''bert-base-uncased''': '''https://huggingface.co/bert-base-uncased/resolve/main/config.json''',
    # QDQBERT models can be loaded from any BERT checkpoint, available at https://huggingface.co/models?filter=bert
}







class        __magic_name__  (					lowerCAmelCase   ):

     """simple docstring"""






     lowerCamelCase__						=							"qdqbert"


     def __init__(      self ,    lowerCamelCase=3_0522 ,    lowerCamelCase=768 ,    lowerCamelCase=12 ,    lowerCamelCase=12 ,    lowerCamelCase=3072 ,    lowerCamelCase="gelu" ,    lowerCamelCase=0.1 ,    lowerCamelCase=0.1 ,    lowerCamelCase=512 ,    lowerCamelCase=2 ,    lowerCamelCase=0.02 ,    lowerCamelCase=1E-12 ,    lowerCamelCase=True ,    lowerCamelCase=1 ,    lowerCamelCase=0 ,    lowerCamelCase=2 ,    **lowerCamelCase ,    ):


          '''simple docstring'''





          super().__init__(pad_token_id=UpperCAmelCase_ ,    bos_token_id=UpperCAmelCase_ ,    eos_token_id=UpperCAmelCase_ ,    **UpperCAmelCase_		)

          __A  :					Dict						     =       vocab_size
          __A  :					Optional[int]						     =       max_position_embeddings
          __A  :					Dict						     =       hidden_size
          __A  :					Union[str, Any]						     =       num_hidden_layers
          __A  :					Dict						     =       num_attention_heads
          __A  :					Any						     =       intermediate_size
          __A  :					Optional[Any]						     =       hidden_act
          __A  :					Union[str, Any]						     =       hidden_dropout_prob
          __A  :					int						     =       attention_probs_dropout_prob
          __A  :					int						     =       initializer_range
          __A  :					Tuple						     =       type_vocab_size
          __A  :					List[str]						     =       layer_norm_eps
          __A  :					Any						     =       use_cache





'''simple docstring'''


import math
from collections.abc import Generator


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					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					,				SCREAMING_SNAKE_CASE       ):
               if (i % j) == 0:
                    break
          else:
               yield i


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					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)
          __A  :					Optional[Any]						     =       int(math.sqrt(SCREAMING_SNAKE_CASE       )       ) + 1
          for j in range(2					,				SCREAMING_SNAKE_CASE       ):
               if (i % j) == 0:
                    break
          else:
               yield i


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





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


def 		_lowercase   ():




     '''simple docstring'''





     from timeit import timeit

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


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

