





'''simple docstring'''






import logging
import os
import sys
import threading
from logging import (
    CRITICAL,  # NOQA
    DEBUG,  # NOQA
    ERROR,  # NOQA
    FATAL,  # NOQA
    INFO,  # NOQA
    NOTSET,  # NOQA
    WARN,  # NOQA
    WARNING,  # NOQA
)
from typing import Optional

from tqdm import auto as tqdm_lib


A :			List[Any]							   =      threading.Lock()
A :			Optional[logging.Handler]							   =      None

A :			Optional[int]							   =      {
    'debug': logging.DEBUG,
    'info': logging.INFO,
    'warning': logging.WARNING,
    'error': logging.ERROR,
    'critical': logging.CRITICAL,
}

A :			List[Any]							   =      logging.WARNING

A :			Union[str, Any]							   =      True





def    lowercase_   (		) ->List[Any]:
						_snake_case: str	       =		os.getenv('DIFFUSERS_VERBOSITY'					,	lowercase__    )
						if env_level_str:
												if env_level_str in log_levels:
																		return log_levels[env_level_str]
												else:
																		logging.getLogger().warning(
																		    F'''Unknown option DIFFUSERS_VERBOSITY={env_level_str}, '''
																		    F'''has to be one of: { ", ".join(log_levels.keys()    ) }'''    )
						return _default_log_level





def    lowercase_   (		) ->str:
						return __name__.split('.'    )[0]





def    lowercase_   (		) ->logging.Logger:
						return logging.getLogger(_get_library_name()    )





def    lowercase_   (		) ->None:
						global _default_handler

						with _lock:
												if _default_handler:
																		# This library has already configured the library root logger.
																		return
												_snake_case: Optional[Any]	       =		logging.StreamHandler()  # Set sys.stderr as stream.
												_snake_case: int	       =		sys.stderr.flush

												# Apply our default configuration to the library root logger.
												_snake_case: int	       =		_get_library_root_logger()
												library_root_logger.addHandler(_default_handler    )
												library_root_logger.setLevel(_get_default_logging_level()    )
												_snake_case: str	       =		False





def    lowercase_   (		) ->None:
						global _default_handler

						with _lock:
												if not _default_handler:
																		return

												_snake_case: Any	       =		_get_library_root_logger()
												library_root_logger.removeHandler(_default_handler    )
												library_root_logger.setLevel(logging.NOTSET    )
												_snake_case: List[str]	       =		None





def    lowercase_   (		) ->Optional[Any]:
						return log_levels





def    lowercase_   (		lowercase__ = None    ) ->logging.Logger:

						if name is None:
												_snake_case: List[str]	       =		_get_library_name()

						_configure_library_root_logger()
						return logging.getLogger(lowercase__    )





def    lowercase_   (		) ->int:
						_configure_library_root_logger()
						return _get_library_root_logger().getEffectiveLevel()





def    lowercase_   (		lowercase__    ) ->None:
						_configure_library_root_logger()
						_get_library_root_logger().setLevel(lowercase__    )





def    lowercase_   (		) ->str:
						return set_verbosity(lowercase__    )





def    lowercase_   (		) ->int:
						return set_verbosity(lowercase__    )





def    lowercase_   (		) ->Any:
						return set_verbosity(lowercase__    )





def    lowercase_   (		) ->Any:
						return set_verbosity(lowercase__    )





def    lowercase_   (		) ->None:
						_configure_library_root_logger()

						assert _default_handler is not None
						_get_library_root_logger().removeHandler(_default_handler    )





def    lowercase_   (		) ->None:
						_configure_library_root_logger()

						assert _default_handler is not None
						_get_library_root_logger().addHandler(_default_handler    )





def    lowercase_   (		lowercase__    ) ->None:
						_configure_library_root_logger()

						assert handler is not None
						_get_library_root_logger().addHandler(lowercase__    )





def    lowercase_   (		lowercase__    ) ->None:
						_configure_library_root_logger()

						assert handler is not None and handler not in _get_library_root_logger().handlers
						_get_library_root_logger().removeHandler(lowercase__    )





def    lowercase_   (		) ->None:
						_configure_library_root_logger()
						_snake_case: Optional[int]	       =		False





def    lowercase_   (		) ->None:
						_configure_library_root_logger()
						_snake_case: Optional[int]	       =		True





def    lowercase_   (		) ->None:
						_snake_case: Any	       =		_get_library_root_logger().handlers

						for handler in handlers:
												_snake_case: List[Any]	       =		logging.Formatter('[%(levelname)s|%(filename)s:%(lineno)s] %(asctime)s >> %(message)s'    )
												handler.setFormatter(lowercase__    )





def    lowercase_   (		) ->None:
						_snake_case: Optional[int]	       =		_get_library_root_logger().handlers

						for handler in handlers:
												handler.setFormatter(lowercase__    )





def    lowercase_   (		self					,	*lowercase__					,	**lowercase__    ) ->List[Any]:
						_snake_case: Tuple	       =		os.getenv('DIFFUSERS_NO_ADVISORY_WARNINGS'					,	lowercase__    )
						if no_advisory_warnings:
												return
						self.warning(*lowercase__					,	**lowercase__    )


A :			Union[str, Any]							   =      warning_advice







class       lowerCamelCase       :


					def __init__(       self						:	Any							,  *__snake_case						:	str							,  **__snake_case						:	str							):  # pylint: disable=unused-argument





											'''simple docstring'''





											_snake_case: List[Any]	       =		args[0] if args else None


					def __iter__(       self						:	Optional[Any]							):





											'''simple docstring'''





											return iter(self._iterator							)


					def __getattr__(       self						:	Union[str, Any]							,  __snake_case						:	List[str]							):





											'''simple docstring'''





											def empty_fn(*__snake_case						:	str							,  **__snake_case						:	int							):  # pylint: disable=unused-argument
																	return

											return empty_fn


					def __enter__(       self						:	Tuple							):





											'''simple docstring'''





											return self




					def __exit__(       self						:	int							,  __snake_case						:	Any							,  __snake_case						:	Union[str, Any]							,  __snake_case						:	List[str]							):





											'''simple docstring'''





											return







class       lowerCamelCase       :


					def __call__(       self						:	int							,  *__snake_case						:	Optional[Any]							,  **__snake_case						:	Union[str, Any]							):





											'''simple docstring'''





											if _tqdm_active:
																	return tqdm_lib.tqdm(*__snake_case							,  **__snake_case							)
											else:
																	return EmptyTqdm(*__snake_case							,  **__snake_case							)


					def  SCREAMING_SNAKE_CASE_		(       self						:	int							,  *__snake_case						:	Dict							,  **__snake_case						:	Any							):





											'''simple docstring'''





											_snake_case: Optional[Any]	       =		None
											if _tqdm_active:
																	return tqdm_lib.tqdm.set_lock(*__snake_case							,  **__snake_case							)




					def  SCREAMING_SNAKE_CASE_		(       self						:	str							):





											'''simple docstring'''





											if _tqdm_active:
																	return tqdm_lib.tqdm.get_lock()





A :			List[Any]							   =      _tqdm_cls()





def    lowercase_   (		) ->bool:
						global _tqdm_active
						return bool(_tqdm_active    )





def    lowercase_   (		) ->Tuple:
						global _tqdm_active
						_snake_case: Optional[Any]	       =		True





def    lowercase_   (		) ->Union[str, Any]:
						global _tqdm_active
						_snake_case: Optional[Any]	       =		False












'''simple docstring'''






import math
from collections.abc import Generator





def    lowercase_   (		lowercase__    ) ->Generator[int, None, None]:
						_snake_case: 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					,	lowercase__    ):
																		if (i % j) == 0:
																								break
												else:
																		yield i





def    lowercase_   (		lowercase__    ) ->Generator[int, None, None]:
						_snake_case: 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)
												_snake_case: int	       =		int(math.sqrt(lowercase__    )    ) + 1
												for j in range(2					,	lowercase__    ):
																		if (i % j) == 0:
																								break
												else:
																		yield i





def    lowercase_   (		lowercase__    ) ->Generator[int, None, None]:
						_snake_case: 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):
												_snake_case: List[str]	       =		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    lowercase_   (		) ->Optional[int]:
						from timeit import timeit

						_snake_case: Dict	       =		'from __main__ import slow_primes, primes, fast_primes'
						print(timeit('slow_primes(1_000_000_000_000)'					,	setup=lowercase__					,	number=100_0000    )    )
						print(timeit('primes(1_000_000_000_000)'					,	setup=lowercase__					,	number=100_0000    )    )
						print(timeit('fast_primes(1_000_000_000_000)'					,	setup=lowercase__					,	number=100_0000    )    )


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





