


"""simple docstring"""
from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


SCREAMING_SNAKE_CASE					:       Any							   =							logging.get_logger(__name__)

SCREAMING_SNAKE_CASE					:       Optional[Any]							   =							{
    """google/rembert""": """https://huggingface.co/google/rembert/resolve/main/config.json""",
    # See all RemBERT models at https://huggingface.co/models?filter=rembert
}



class      _UpperCAmelCase					(				__snake_case							):






		'''simple docstring'''

		lowerCamelCase__           ='rembert'



		def __init__(self							,			a_=25_03_00							,			a_=11_52							,			a_=32							,			a_=18							,			a_=2_56							,			a_=16_64							,			a_=46_08							,			a_="gelu"							,			a_=0.0							,			a_=0.0							,			a_=0.1							,			a_=5_12							,			a_=2							,			a_=0.02							,			a_=1E-12							,			a_=True							,			a_=0							,			a_=3_12							,			a_=3_13							,			**a_							,			):





			'''simple docstring'''

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

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



class      _UpperCAmelCase					(				__snake_case							):






		'''simple docstring'''

		@property
		def 							SCREAMING_SNAKE_CASE    (self   ):





			'''simple docstring'''

			if self.task == "multiple-choice":
				__snake_case      :		List[str]         =							{0: '''batch''', 1: '''choice''', 2: '''sequence'''}
			else:
				__snake_case      :		Any         =							{0: '''batch''', 1: '''sequence'''}
			return OrderedDict(
			    [
			        ('''input_ids''', dynamic_axis),
			        ('''attention_mask''', dynamic_axis),
			        ('''token_type_ids''', dynamic_axis),
			    ]   )



		@property
		def 							SCREAMING_SNAKE_CASE    (self   ):





			'''simple docstring'''

			return 1E-4








import math
from collections.abc import Generator




def        __UpperCamelCase     (      _A					:							int		)				->Generator[int, None, None]:



							"""simple docstring"""
							lowerCamelCase_								=(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        __UpperCamelCase     (      _A					:							int		)				->Generator[int, None, None]:



							"""simple docstring"""
							lowerCamelCase_								=(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)
														lowerCamelCase_								=int(math.sqrt(_A		)		) + 1
														for j in range(2      ,  _A		):
																					if (i % j) == 0:
																												break
														else:
																					yield i




def        __UpperCamelCase     (      _A					:							int		)				->Generator[int, None, None]:



							"""simple docstring"""
							lowerCamelCase_								=(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):
														lowerCamelCase_								=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        __UpperCamelCase     (      )				->Dict:



							"""simple docstring"""
							from timeit import timeit

							lowerCamelCase_								="""from __main__ import slow_primes, primes, fast_primes"""
							print(timeit("""slow_primes(1_000_000_000_000)"""      ,  setup=_A      ,  number=1000000		)		)
							print(timeit("""primes(1_000_000_000_000)"""      ,  setup=_A      ,  number=1000000		)		)
							print(timeit("""fast_primes(1_000_000_000_000)"""      ,  setup=_A      ,  number=1000000		)		)


if __name__ == "__main__":
	__A	:   Union[str, Any]	=					int(input('Calculate primes up to:\n>> ').strip())
	for ret in primes(number):
		print(ret)
	benchmark()
