


'''simple docstring'''



import math


def    lowerCamelCase__   ( A     :    int  ):




						'''simple docstring'''






						UpperCAmelCase         =			[True] * n
						UpperCAmelCase         =			False
						UpperCAmelCase         =			False
						UpperCAmelCase         =			True

						for i in range(3   ,     int(n**0.5 + 1  )   ,     2  ):
												UpperCAmelCase         =			i * 2
												while index < n:
																		UpperCAmelCase         =			False
																		UpperCAmelCase         =			index + i

						UpperCAmelCase         =			[2]

						for i in range(3   ,     A   ,     2  ):
												if is_prime[i]:
																		primes.append(A  )

						return primes


def    lowerCamelCase__   ( A     :    int = 99_99_66_66_33_33  ):




						'''simple docstring'''






						UpperCAmelCase         =			math.floor(math.sqrt(A  )  ) + 1_00
						UpperCAmelCase         =			prime_sieve(A  )

						UpperCAmelCase         =			0
						UpperCAmelCase         =			0
						UpperCAmelCase         =			primes[prime_index]

						while (last_prime**2) <= limit:
												UpperCAmelCase         =			primes[prime_index + 1]

												UpperCAmelCase         =			last_prime**2
												UpperCAmelCase         =			next_prime**2

												# Get numbers divisible by lps(current)
												UpperCAmelCase         =			lower_bound + last_prime
												while upper_bound > current <= limit:
																		matches_sum += current
																		current += last_prime

												# Reset the upper_bound
												while (upper_bound - next_prime) > limit:
																		upper_bound -= next_prime

												# Add the numbers divisible by ups(current)
												UpperCAmelCase         =			upper_bound - next_prime
												while current > lower_bound:
																		matches_sum += current
																		current -= next_prime

												# Remove the numbers divisible by both ups and lps
												UpperCAmelCase         =			0
												while upper_bound > current <= limit:
																		if current <= lower_bound:
																								# Increment the current number
																								current += last_prime * next_prime
																								continue

																		if current > limit:
																								break

																		# Remove twice since it was added by both ups and lps
																		matches_sum -= current * 2

																		# Increment the current number
																		current += last_prime * next_prime

												# Setup for next pair
												UpperCAmelCase         =			next_prime
												prime_index += 1

						return matches_sum


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









'''simple docstring'''



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


_lowercase    :    Any			     =  logging.get_logger(__name__)

_lowercase    :    Dict			     =  {
    """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  UpperCamelCase__(     lowerCAmelCase ):
				__magic_name__       :   Optional[int]							= "dpr"




				def __init__(	self    :				Dict   ,					lowerCAmelCase    :				Any=30522   ,					lowerCAmelCase    :				List[str]=768   ,					lowerCAmelCase    :				Union[str, Any]=12   ,					lowerCAmelCase    :				Tuple=12   ,					lowerCAmelCase    :				Optional[int]=3072   ,					lowerCAmelCase    :				Optional[int]="gelu"   ,					lowerCAmelCase    :				Optional[Any]=0.1   ,					lowerCAmelCase    :				Any=0.1   ,					lowerCAmelCase    :				Optional[Any]=512   ,					lowerCAmelCase    :				List[Any]=2   ,					lowerCAmelCase    :				Tuple=0.02   ,					lowerCAmelCase    :				str=1E-12   ,					lowerCAmelCase    :				Optional[Any]=0   ,					lowerCAmelCase    :				Tuple="absolute"   ,					lowerCAmelCase    :				int = 0   ,					**lowerCAmelCase    :				Union[str, Any]   ,					)->  Optional[int]:

										"""simple docstring"""




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

										UpperCAmelCase         =			vocab_size
										UpperCAmelCase         =			hidden_size
										UpperCAmelCase         =			num_hidden_layers
										UpperCAmelCase         =			num_attention_heads
										UpperCAmelCase         =			hidden_act
										UpperCAmelCase         =			intermediate_size
										UpperCAmelCase         =			hidden_dropout_prob
										UpperCAmelCase         =			attention_probs_dropout_prob
										UpperCAmelCase         =			max_position_embeddings
										UpperCAmelCase         =			type_vocab_size
										UpperCAmelCase         =			initializer_range
										UpperCAmelCase         =			layer_norm_eps
										UpperCAmelCase         =			projection_dim
										UpperCAmelCase         =			position_embedding_type





