



"""simple docstring"""






import math






def 			snake_case_    ( A_   :						int		):


       '''simple docstring'''





       _lowerCamelCase		:							Optional[Any]            =					[True] * n
       _lowerCamelCase		:							List[Any]            =					False
       _lowerCamelCase		:							str            =					False
       _lowerCamelCase		:							List[Any]            =					True

       for i in range(3,							int(n**0.5 + 1		),							2		):
              _lowerCamelCase		:							str            =					i * 2
              while index < n:
                     _lowerCamelCase		:							Optional[int]            =					False
                     _lowerCamelCase		:							Any            =					index + i

       _lowerCamelCase		:							Dict            =					[2]

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

       return primes






def 			snake_case_    ( A_   :						int = 99_99_66_66_33_33		):


       '''simple docstring'''





       _lowerCamelCase		:							Union[str, Any]            =					math.floor(math.sqrt(lowerCAmelCase_		)		) + 1_00
       _lowerCamelCase		:							List[str]            =					prime_sieve(lowerCAmelCase_		)

       _lowerCamelCase		:							Dict            =					0
       _lowerCamelCase		:							Optional[Any]            =					0
       _lowerCamelCase		:							str            =					primes[prime_index]

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

              _lowerCamelCase		:							str            =					last_prime**2
              _lowerCamelCase		:							Dict            =					next_prime**2

              # Get numbers divisible by lps(current)
              _lowerCamelCase		:							List[Any]            =					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)
              _lowerCamelCase		:							Tuple            =					upper_bound - next_prime
              while current > lower_bound:
                     matches_sum += current
                     current -= next_prime

              # Remove the numbers divisible by both ups and lps
              _lowerCamelCase		:							Union[str, Any]            =					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
              _lowerCamelCase		:							Any            =					next_prime
              prime_index += 1

       return matches_sum


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






from transformers import DistilBertTokenizer, DistilBertTokenizerFast
from transformers.testing_utils import require_tokenizers, slow

from ..bert.test_tokenization_bert import BertTokenizationTest


@require_tokenizers
class      __lowerCAmelCase  (			a       ):






  """simple docstring"""





  _SCREAMING_SNAKE_CASE		     =							DistilBertTokenizer
  _SCREAMING_SNAKE_CASE		     =							DistilBertTokenizerFast
  _SCREAMING_SNAKE_CASE		     =							True



  @slow
  def        lowerCAmelCase__	(  self							:							Tuple	) ->			Optional[Any]:




     """simple docstring"""
     snake_case_            =       DistilBertTokenizer.from_pretrained("distilbert-base-uncased"	)

     snake_case_            =       tokenizer.encode("sequence builders"     ,					add_special_tokens=_lowerCAmelCase	)
     snake_case_            =       tokenizer.encode("multi-sequence build"     ,					add_special_tokens=_lowerCAmelCase	)

     snake_case_            =       tokenizer.build_inputs_with_special_tokens(_lowerCAmelCase	)
     snake_case_            =       tokenizer.build_inputs_with_special_tokens(_lowerCAmelCase     ,					_lowerCAmelCase	)

     assert encoded_sentence == [tokenizer.cls_token_id] + text + [tokenizer.sep_token_id]
     assert encoded_pair == [tokenizer.cls_token_id] + text + [tokenizer.sep_token_id] + text_a + [
         tokenizer.sep_token_id
     ]




