


"""simple docstring"""







def 					a__			(				SCREAMING_SNAKE_CASE    :    int = 1_0_0_0_0_0_0				):


  '''simple docstring'''







  lowerCAmelCase     :     int								=							set(range(3				,      SCREAMING_SNAKE_CASE				,      2				)				)
  primes.add(2				)
  for p in range(3				,      SCREAMING_SNAKE_CASE				,      2				):
    if p not in primes:
      continue
    primes.difference_update(set(range(p * p				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				)				)				)

  lowerCAmelCase     :     int								=							[float(SCREAMING_SNAKE_CASE				) for n in range(limit + 1				)]

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

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


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









"""simple docstring"""







from ...configuration_utils import PretrainedConfig
from ...utils import logging


lowerCAmelCase__      				=   logging.get_logger(__name__)

lowerCAmelCase__      				=   {
    '''facebook/dpr-ctx_encoder-single-nq-base''': (
        '''https://huggingface.co/facebook/dpr-ctx_encoder-single-nq-base/resolve/main/config.json'''
    ),
    '''facebook/dpr-question_encoder-single-nq-base''': (
        '''https://huggingface.co/facebook/dpr-question_encoder-single-nq-base/resolve/main/config.json'''
    ),
    '''facebook/dpr-reader-single-nq-base''': (
        '''https://huggingface.co/facebook/dpr-reader-single-nq-base/resolve/main/config.json'''
    ),
    '''facebook/dpr-ctx_encoder-multiset-base''': (
        '''https://huggingface.co/facebook/dpr-ctx_encoder-multiset-base/resolve/main/config.json'''
    ),
    '''facebook/dpr-question_encoder-multiset-base''': (
        '''https://huggingface.co/facebook/dpr-question_encoder-multiset-base/resolve/main/config.json'''
    ),
    '''facebook/dpr-reader-multiset-base''': (
        '''https://huggingface.co/facebook/dpr-reader-multiset-base/resolve/main/config.json'''
    ),
}


class       SCREAMING_SNAKE_CASE__				(		lowercase				):
       """simple docstring"""


       a  :				int   ="dpr"

       def __init__(						self		,     snake_case__=30_522		,     snake_case__=768		,     snake_case__=12		,     snake_case__=12		,     snake_case__=3_072		,     snake_case__="gelu"		,     snake_case__=0.1		,     snake_case__=0.1		,     snake_case__=512		,     snake_case__=2		,     snake_case__=0.02		,     snake_case__=1e-12		,     snake_case__=0		,     snake_case__="absolute"		,     snake_case__ = 0		,     **snake_case__		,     ):






         """simple docstring"""





         super().__init__(pad_token_id=snake_case__		,     **snake_case__						)

         lowerCAmelCase     :     Union[str, Any]								=							vocab_size
         lowerCAmelCase     :     str								=							hidden_size
         lowerCAmelCase     :     Any								=							num_hidden_layers
         lowerCAmelCase     :     Optional[int]								=							num_attention_heads
         lowerCAmelCase     :     Union[str, Any]								=							hidden_act
         lowerCAmelCase     :     Dict								=							intermediate_size
         lowerCAmelCase     :     Union[str, Any]								=							hidden_dropout_prob
         lowerCAmelCase     :     Dict								=							attention_probs_dropout_prob
         lowerCAmelCase     :     Dict								=							max_position_embeddings
         lowerCAmelCase     :     Tuple								=							type_vocab_size
         lowerCAmelCase     :     Any								=							initializer_range
         lowerCAmelCase     :     Any								=							layer_norm_eps
         lowerCAmelCase     :     Dict								=							projection_dim
         lowerCAmelCase     :     Dict								=							position_embedding_type





