


"""simple docstring"""



import math







def 						__lowerCAmelCase		(		lowercase						:						int				)			->		list:


    """simple docstring"""





    snake_case					:   Union[str, Any]         =					[True] * n
    snake_case					:   Any         =					False
    snake_case					:   List[str]         =					False
    snake_case					:   Dict         =					True

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

    snake_case					:   List[str]         =					[2]

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

    return primes







def 						__lowerCAmelCase		(		lowercase						:						int = 9999_6666_3333				)			->		int:


    """simple docstring"""





    snake_case					:   Any         =					math.floor(math.sqrt(lowercase				)				) + 100
    snake_case					:   Optional[int]         =					prime_sieve(lowercase				)

    snake_case					:   Union[str, Any]         =					0
    snake_case					:   Optional[Any]         =					0
    snake_case					:   List[str]         =					primes[prime_index]

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

        snake_case					:   str         =					last_prime**2
        snake_case					:   Optional[Any]         =					next_prime**2

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

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

    return matches_sum


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









"""simple docstring"""



import os
import unittest

from transformers import LayoutLMTokenizer, LayoutLMTokenizerFast
from transformers.models.layoutlm.tokenization_layoutlm import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin







@require_tokenizers
class _lowerCAmelCase       (   snake_case_					,							unittest.TestCase			):
   __UpperCAmelCase				: List[Any]													=						LayoutLMTokenizer
   __UpperCAmelCase				: List[Any]													=						LayoutLMTokenizerFast
   __UpperCAmelCase				: List[Any]													=						True
   __UpperCAmelCase				: Dict													=						True







   def 				lowerCamelCase	(			self		)			->	str:

       '''simple docstring'''




       super().setUp()

       snake_case					:   Dict         =					[
           "[UNK]",
           "[CLS]",
           "[SEP]",
           "want",
           "##want",
           "##ed",
           "wa",
           "un",
           "runn",
           "##ing",
           ",",
           "low",
           "lowest",
       ]
       snake_case					:   List[str]         =					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]		)		)







   def 				lowerCamelCase	(			self		,			**UpperCamelCase__		)			->	Dict:

       '''simple docstring'''




       return LayoutLMTokenizer.from_pretrained(self.tmpdirname		,			**UpperCamelCase__		)







   def 				lowerCamelCase	(			self		,			UpperCamelCase__		)			->	Tuple:

       '''simple docstring'''




       snake_case					:   str         =					"UNwant\u00E9d,running"
       snake_case					:   Optional[int]         =					"unwanted, running"
       return input_text, output_text







   def 				lowerCamelCase	(			self		)			->	Any:

       '''simple docstring'''




       snake_case					:   List[str]         =					self.tokenizer_class(self.vocab_file		)

       snake_case					:   Optional[Any]         =					tokenizer.tokenize("UNwant\u00E9d,running"		)
       self.assertListEqual(UpperCamelCase__		,			["un", "##want", "##ed", ",", "runn", "##ing"]		)
       self.assertListEqual(tokenizer.convert_tokens_to_ids(UpperCamelCase__		)		,			[7, 4, 5, 10, 8, 9]		)







   def 				lowerCamelCase	(			self		)			->	Dict:

       '''simple docstring'''




       pass





