


"""simple docstring"""







def      lowercase			(				A_ = 1_000_000       )->      int:
  '''simple docstring'''







  a						:		Tuple      							=			[i - 1 for i in range(limit + 1       )]

  for i in range(2  ,   limit + 1       ):
    if phi[i] == i - 1:
      for j in range(2 * i  ,   limit + 1  ,   A_       ):
        phi[j] -= phi[j] // i

  return sum(phi[2 : limit + 1]       )


if __name__ == "__main__":
 print(solution())







import warnings

from ..trainer import Trainer
from ..utils import logging


__lowerCamelCase			: List[Any]							   =		logging.get_logger(__name__)







class __snake_case				(						lowerCamelCase_		):




   def __init__(    self			:				Tuple       ,	_lowercase			:				Optional[int]=None       ,	**_lowercase			:				List[Any]      ):



     """simple docstring"""






     warnings.warn(
         """`SageMakerTrainer` is deprecated and will be removed in v5 of Transformers. You can use `Trainer` """
         """instead."""       ,	_lowercase       ,	)
     super().__init__(args=_lowercase       ,	**_lowercase      )
