


from dataclasses import dataclass
from typing import Callable, Optional

import datasets







@dataclass
class lowerCAmelCase_		(					datasets.BuilderConfig			):

 '''simple docstring'''

 __snake_case				=    None
 __snake_case				=    None
 __snake_case				=    None



 def 		UpperCamelCase__	(      self   ):
       assert self.generator is not None, "generator must be specified"

       if self.gen_kwargs is None:
             snake_case_			= {}







class lowerCAmelCase_		(					datasets.GeneratorBasedBuilder			):

 '''simple docstring'''

 __snake_case				=    GeneratorConfig



 def 		UpperCamelCase__	(      self   ):
       return datasets.DatasetInfo(features=self.config.features   )



 def 		UpperCamelCase__	(      self						, _UpperCAmelCase   ):
       return [datasets.SplitGenerator(name=datasets.Split.TRAIN						, gen_kwargs=self.config.gen_kwargs   )]





 def 		UpperCamelCase__	(      self						, **_UpperCAmelCase   ):
       for idx, ex in enumerate(self.config.generator(**_UpperCAmelCase   )   ):
             yield idx, ex



def 			__lowerCAmelCase       (SCREAMING_SNAKE_CASE   )->    list:




      """simple docstring"""

      snake_case_			= [True for i in range(n + 1   )]
      snake_case_			= [i - 1 for i in range(n + 1   )]
      snake_case_			= []
      for i in range(2   ,   n + 1   ):
            if is_prime[i]:
                  primes.append(SCREAMING_SNAKE_CASE   )
            for j in range(0   ,   len(SCREAMING_SNAKE_CASE   )   ):
                  if i * primes[j] >= n:
                        break
                  snake_case_			= False

                  if i % primes[j] == 0:
                        snake_case_			= totients[i] * primes[j]
                        break

                  snake_case_			= totients[i] * (primes[j] - 1)

      return totients


if __name__ == "__main__":
   import doctest

   doctest.testmod()