"""simple docstring"""


from math import isqrt







def 					__a   (		A      ):






     '''simple docstring'''



     lowercase__				 =							[True] * max_number
     for i in range(2    ,				isqrt(max_number - 1      ) + 1      ):
          if is_prime[i]:
               for j in range(i**2    ,				A    ,				A      ):
                    lowercase__				 =							False

     return [i for i in range(2    ,				A      ) if is_prime[i]]







def 					__a   (		A = 10**8      ):






     '''simple docstring'''



     lowercase__				 =							calculate_prime_numbers(max_number // 2      )

     lowercase__				 =							0
     lowercase__				 =							0
     lowercase__				 =							len(A      ) - 1
     while left <= right:
          while prime_numbers[left] * prime_numbers[right] >= max_number:
               right -= 1
          semiprimes_count += right - left + 1
          left += 1

     return semiprimes_count


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





"""simple docstring"""


import unittest

from transformers import AutoConfig, AutoTokenizer, BertConfig, TensorType, is_flax_available
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, require_flax, slow


if is_flax_available():
 import jax

 from transformers.models.auto.modeling_flax_auto import FlaxAutoModel
 from transformers.models.bert.modeling_flax_bert import FlaxBertModel
 from transformers.models.roberta.modeling_flax_roberta import FlaxRobertaModel






@require_flax
class    a__    (   unittest.TestCase	):


   @slow
   def 	snake_case__	(     self  ):
        '''simple docstring'''



        for model_name in ["bert-base-cased", "bert-large-uncased"]:
             with self.subTest(_UpperCAmelCase  ):
                  lowercase__				 =							AutoConfig.from_pretrained(_UpperCAmelCase  )
                  self.assertIsNotNone(_UpperCAmelCase  )
                  self.assertIsInstance(_UpperCAmelCase,				_UpperCAmelCase  )

                  lowercase__				 =							FlaxAutoModel.from_pretrained(_UpperCAmelCase  )
                  self.assertIsNotNone(_UpperCAmelCase  )
                  self.assertIsInstance(_UpperCAmelCase,				_UpperCAmelCase  )


   @slow
   def 	snake_case__	(     self  ):
        '''simple docstring'''



        for model_name in ["roberta-base", "roberta-large"]:
             with self.subTest(_UpperCAmelCase  ):
                  lowercase__				 =							AutoConfig.from_pretrained(_UpperCAmelCase  )
                  self.assertIsNotNone(_UpperCAmelCase  )
                  self.assertIsInstance(_UpperCAmelCase,				_UpperCAmelCase  )

                  lowercase__				 =							FlaxAutoModel.from_pretrained(_UpperCAmelCase  )
                  self.assertIsNotNone(_UpperCAmelCase  )
                  self.assertIsInstance(_UpperCAmelCase,				_UpperCAmelCase  )


   @slow
   def 	snake_case__	(     self  ):
        '''simple docstring'''



        for model_name in ["bert-base-cased", "bert-large-uncased"]:
             lowercase__				 =							AutoTokenizer.from_pretrained(_UpperCAmelCase  )
             lowercase__				 =							FlaxBertModel.from_pretrained(_UpperCAmelCase  )
             lowercase__				 =							tokenizer("Do you support jax jitted function?",				return_tensors=TensorType.JAX  )

             @jax.jit
             def eval(**_UpperCAmelCase  ):
                  return model(**_UpperCAmelCase  )

             eval(**_UpperCAmelCase  ).block_until_ready()


   @slow
   def 	snake_case__	(     self  ):
        '''simple docstring'''



        for model_name in ["roberta-base", "roberta-large"]:
             lowercase__				 =							AutoTokenizer.from_pretrained(_UpperCAmelCase  )
             lowercase__				 =							FlaxRobertaModel.from_pretrained(_UpperCAmelCase  )
             lowercase__				 =							tokenizer("Do you support jax jitted function?",				return_tensors=TensorType.JAX  )

             @jax.jit
             def eval(**_UpperCAmelCase  ):
                  return model(**_UpperCAmelCase  )

             eval(**_UpperCAmelCase  ).block_until_ready()


   def 	snake_case__	(     self  ):
        '''simple docstring'''



        with self.assertRaisesRegex(
            _UpperCAmelCase,				"bert-base is not a local folder and is not a valid model identifier"  ):
             lowercase__				 =							FlaxAutoModel.from_pretrained("bert-base"  )


   def 	snake_case__	(     self  ):
        '''simple docstring'''



        with self.assertRaisesRegex(
            _UpperCAmelCase,				R"aaaaaa is not a valid git identifier \(branch name, tag name or commit id\)"  ):
             lowercase__				 =							FlaxAutoModel.from_pretrained(_UpperCAmelCase,				revision="aaaaaa"  )


   def 	snake_case__	(     self  ):
        '''simple docstring'''



        with self.assertRaisesRegex(
            _UpperCAmelCase,				"hf-internal-testing/config-no-model does not appear to have a file named flax_model.msgpack",				):
             lowercase__				 =							FlaxAutoModel.from_pretrained("hf-internal-testing/config-no-model"  )


   def 	snake_case__	(     self  ):
        '''simple docstring'''



        with self.assertRaisesRegex(_UpperCAmelCase,				"Use `from_pt=True` to load this model"  ):
             lowercase__				 =							FlaxAutoModel.from_pretrained("hf-internal-testing/tiny-bert-pt-only"  )




