
"""simple docstring"""




from math import isqrt, loga


def   __magic_name__	(      __snake_case				:       int  ) ->				list[int]:
       lowercase    :				Dict       		=							[True] * max_number
       for i in range(2     , isqrt(max_number - 1  ) + 1  ):
              if is_prime[i]:
                     for j in range(i**2     , __snake_case     , __snake_case  ):
                            lowercase    :				Optional[Any]       		=							False

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


def   __magic_name__	(      __snake_case				:       int = 80_0800     , __snake_case				:       int = 80_0800  ) ->				int:
       lowercase    :				List[str]       		=							degree * loga(__snake_case  )
       lowercase    :				Tuple       		=							int(__snake_case  )
       lowercase    :				Optional[Any]       		=							calculate_prime_numbers(__snake_case  )

       lowercase    :				List[Any]       		=							0
       lowercase    :				Tuple       		=							0
       lowercase    :				Optional[Any]       		=							len(__snake_case  ) - 1
       while left < right:
              while (
                  prime_numbers[right] * loga(prime_numbers[left]  )
                  + prime_numbers[left] * loga(prime_numbers[right]  )
                  > upper_bound
              ):
                     right -= 1
              hybrid_integers_count += right - left
              left += 1

       return hybrid_integers_count


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




"""simple docstring"""




import os
import unittest

from transformers.models.cpmant.tokenization_cpmant import VOCAB_FILES_NAMES, CpmAntTokenizer
from transformers.testing_utils import require_jieba, tooslow

from ...test_tokenization_common import TokenizerTesterMixin

@require_jieba
class 		a__						(      a_,			unittest.TestCase						):
   __lowerCAmelCase            =				CpmAntTokenizer
   __lowerCAmelCase            =				False
   def 			__magic_name__			(			self				):
          super().setUp()

          lowercase    :				List[str]       		=							[
              "<d>",
              "</d>",
              "<s>",
              "</s>",
              "</_>",
              "<unk>",
              "<pad>",
              "</n>",
              "我",
              "是",
              "C",
              "P",
              "M",
              "A",
              "n",
              "t",
          ]
          lowercase    :				Dict       		=							os.path.join(self.tmpdirname	,    VOCAB_FILES_NAMES["vocab_file"]				)
          with open(self.vocab_file	,    "w"	,    encoding="utf-8"				) as vocab_writer:
                 vocab_writer.write("".join([x + "\n" for x in vocab_tokens]				)				)

   @tooslow
   def 			__magic_name__			(			self				):
          lowercase    :				Tuple       		=							CpmAntTokenizer.from_pretrained("openbmb/cpm-ant-10b"				)
          lowercase    :				str       		=							"今天天气真好！"
          lowercase    :				Optional[int]       		=							["今天", "天气", "真", "好", "！"]
          lowercase    :				int       		=							tokenizer.tokenize(_a				)
          self.assertListEqual(_a	,    _a				)
          lowercase    :				Any       		=							"今天天气真好！"
          lowercase    :				int       		=							[tokenizer.bos_token] + tokens

          lowercase    :				List[str]       		=							[6, 9_802, 14_962, 2_082, 831, 244]
          self.assertListEqual(tokenizer.convert_tokens_to_ids(_a				)	,    _a				)

          lowercase    :				str       		=							tokenizer.decode(_a				)
          self.assertEqual(_a	,    _a				)


