





"""simple docstring"""
import math
from collections.abc import Generator






def    A__							(     UpperCamelCase			):
							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   ,    _lowerCAmelCase			):
																					if (i % j) == 0:
																												break
														else:
																					yield i






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






def    A__							(     UpperCamelCase			):
							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(_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

							A						=    "from __main__ import slow_primes, primes, fast_primes"
							print(timeit("slow_primes(1_000_000_000_000)"   ,    setup=_lowerCAmelCase   ,    number=1_000_000			)			)
							print(timeit("primes(1_000_000_000_000)"   ,    setup=_lowerCAmelCase   ,    number=1_000_000			)			)
							print(timeit("fast_primes(1_000_000_000_000)"   ,    setup=_lowerCAmelCase   ,    number=1_000_000			)			)


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







import copy

from ...configuration_utils import PretrainedConfig
from ...utils import logging
from ..auto.configuration_auto import AutoConfig


UpperCAmelCase :				Union[str, Any]							=logging.get_logger(__name__)


class    _lowercase (a_   ):
				'''simple docstring'''







				lowercase__     =    """speech-encoder-decoder"""
				lowercase__     =    True

				def __init__(			self  ,			**snake_case__     ):

									'''simple docstring'''


									super().__init__(**snake_case__     )
									if "encoder" not in kwargs or "decoder" not in kwargs:
														raise ValueError(
														    F"""A configuraton of type {self.model_type} cannot be instantiated because not both `encoder` and"""
														    F""" `decoder` sub-configurations are passed, but only {kwargs}"""     )

									UpperCamelCase_			= kwargs.pop("encoder"     )
									UpperCamelCase_			= encoder_config.pop("model_type"     )
									UpperCamelCase_			= kwargs.pop("decoder"     )
									UpperCamelCase_			= decoder_config.pop("model_type"     )

									UpperCamelCase_			= AutoConfig.for_model(snake_case__  ,			**snake_case__     )
									UpperCamelCase_			= AutoConfig.for_model(snake_case__  ,			**snake_case__     )
									UpperCamelCase_			= True

				@classmethod
				def    _lowerCamelCase       (			cls  ,			snake_case__  ,			snake_case__  ,			**snake_case__     ):

									'''simple docstring'''


									logger.info("Setting `config.is_decoder=True` and `config.add_cross_attention=True` for decoder_config"     )
									UpperCamelCase_			= True
									UpperCamelCase_			= True

									return cls(encoder=encoder_config.to_dict()  ,			decoder=decoder_config.to_dict()  ,			**snake_case__     )

				def    _lowerCamelCase       (			self     ):

									'''simple docstring'''


									UpperCamelCase_			= copy.deepcopy(self.__dict__     )
									UpperCamelCase_			= self.encoder.to_dict()
									UpperCamelCase_			= self.decoder.to_dict()
									UpperCamelCase_			= self.__class__.model_type
									return output
