

"""simple docstring"""






def 		lowerCamelCase__		(					_lowerCamelCase = 1000000   ):

    '''simple docstring'''



    _lowerCAmelCase       :   Union[str, Any]  =    set(range(3 ,   lowerCamelCase_ ,   2   )   )
    primes.add(2   )
    for p in range(3 ,   lowerCamelCase_ ,   2   ):
        if p not in primes:
            continue
        primes.difference_update(set(range(p * p ,   lowerCamelCase_ ,   lowerCamelCase_   )   )   )

    _lowerCAmelCase       :   Optional[Any]  =    [float(lowerCamelCase_   ) for n in range(limit + 1   )]

    for p in primes:
        for n in range(lowerCamelCase_ ,   limit + 1 ,   lowerCamelCase_   ):
            phi[n] *= 1 - 1 / p

    return int(sum(phi[2:]   )   )


if __name__ == "__main__":
 print(F'''{solution() = }''')








"""simple docstring"""






import logging
import os

from .state import PartialState







class 	__UpperCamelCase    (    logging.LoggerAdapter						):

  @staticmethod
  def __lowerCamelCase		(		_A      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Optional[Any]  =    PartialState()
      return not main_process_only or (main_process_only and state.is_main_process)







  def __lowerCamelCase		(		self    ,_A    ,_A    ,*_A    ,**_A      ):
      '''simple docstring'''

      if PartialState._shared_state == {}:
          raise RuntimeError(
              'You must initialize the accelerate state by calling either `PartialState()` or `Accelerator()` before using the logging utility.'      )
      _lowerCAmelCase       :   Tuple  =    kwargs.pop('main_process_only'    ,_A      )
      _lowerCAmelCase       :   Any  =    kwargs.pop('in_order'    ,_A      )

      if self.isEnabledFor(_A      ):
          if self._should_log(_A      ):
              _lowerCAmelCase,					_lowerCAmelCase       :   Optional[int]  =    self.process(_A    ,_A      )
              self.logger.log(_A    ,_A    ,*_A    ,**_A      )

          elif in_order:
              _lowerCAmelCase       :   str  =    PartialState()
              for i in range(state.num_processes      ):
                  if i == state.process_index:
                      _lowerCAmelCase,					_lowerCAmelCase       :   Optional[int]  =    self.process(_A    ,_A      )
                      self.logger.log(_A    ,_A    ,*_A    ,**_A      )
                  state.wait_for_everyone()





def 		lowerCamelCase__		(					_lowerCamelCase ,   _lowerCamelCase = None   ):

    '''simple docstring'''



    if log_level is None:
        _lowerCAmelCase       :   Union[str, Any]  =    os.environ.get('ACCELERATE_LOG_LEVEL' ,   _lowerCamelCase   )
    _lowerCAmelCase       :   int  =    logging.getLogger(_lowerCamelCase   )
    if log_level is not None:
        logger.setLevel(log_level.upper()   )
        logger.root.setLevel(log_level.upper()   )
    return MultiProcessAdapter(_lowerCamelCase ,   {}   )





