



'''simple docstring'''






import logging
import os

from .state import PartialState

class 				SCREAMING_SNAKE_CASE(							logging.LoggerAdapter			):







	"""simple docstring"""






	@staticmethod
	def      A	(						__snake_case			:     Tuple		)			->		Optional[int]:
								UpperCAmelCase :       List[str] 							=		PartialState()
								return not main_process_only or (main_process_only and state.is_main_process)







	def      A	(						self			:     List[Any]		,			__snake_case			:     Dict		,			__snake_case			:     int		,			*__snake_case			:     List[str]		,			**__snake_case			:     Optional[Any]		)			->		Union[str, Any]:
								if PartialState._shared_state == {}:
															raise RuntimeError(
															    '''You must initialize the accelerate state by calling either `PartialState()` or `Accelerator()` before using the logging utility.'''		)
								UpperCAmelCase :       Dict 							=		kwargs.pop('''main_process_only'''		,			__snake_case		)
								UpperCAmelCase :       Dict 							=		kwargs.pop('''in_order'''		,			__snake_case		)

								if self.isEnabledFor(__snake_case		):
															if self._should_log(__snake_case		):
																						UpperCAmelCase							,		UpperCAmelCase :       Any 							=		self.process(__snake_case		,			__snake_case		)
																						self.logger.log(__snake_case		,			__snake_case		,			*__snake_case		,			**__snake_case		)

															elif in_order:
																						UpperCAmelCase :       Tuple 							=		PartialState()
																						for i in range(state.num_processes		):
																													if i == state.process_index:
																																				UpperCAmelCase							,		UpperCAmelCase :       List[Any] 							=		self.process(__snake_case		,			__snake_case		)
																																				self.logger.log(__snake_case		,			__snake_case		,			*__snake_case		,			**__snake_case		)
																													state.wait_for_everyone()


def  snake_case_     (					_lowerCAmelCase  :						str   ,      _lowerCAmelCase  :						str = None  )      ->   List[Any]:
							if log_level is None:
														UpperCAmelCase :       Union[str, Any] 							=		os.environ.get('''ACCELERATE_LOG_LEVEL'''   ,      _lowerCAmelCase  )
							UpperCAmelCase :       Dict 							=		logging.getLogger(_lowerCAmelCase  )
							if log_level is not None:
														logger.setLevel(log_level.upper()  )
														logger.root.setLevel(log_level.upper()  )
							return MultiProcessAdapter(_lowerCAmelCase   ,      {}  )










'''simple docstring'''






import random

from .binary_exp_mod import bin_exp_mod


def  snake_case_     (					_lowerCAmelCase  :						Tuple   ,      _lowerCAmelCase  :						Optional[Any]=1000  )      ->   int:
							if n < 2:
														return False

							if n % 2 == 0:
														return n == 2

							# this means n is odd
							UpperCAmelCase :       str 							=		n - 1
							UpperCAmelCase :       List[Any] 							=		0
							while d % 2 == 0:
														d /= 2
														exp += 1

							# n - 1=d*(2**exp)
							UpperCAmelCase :       List[str] 							=		0
							while count < prec:
														UpperCAmelCase :       int 							=		random.randint(2   ,      n - 1  )
														UpperCAmelCase :       List[str] 							=		bin_exp_mod(_lowerCAmelCase   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )
														if b != 1:
																					UpperCAmelCase :       int 							=		True
																					for _ in range(_lowerCAmelCase  ):
																												if b == n - 1:
																																			UpperCAmelCase :       Dict 							=		False
																																			break
																												UpperCAmelCase :       str 							=		b * b
																												b %= n
																					if flag:
																												return False
																					count += 1
							return True


if __name__ == "__main__":
						UpperCamelCase__:   Optional[int]								=			abs(int(input("Enter bound : ").strip()))
						print("Here's the list of primes:")
						print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))





