


"""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"""



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


__snake_case         =					logging.get_logger(__name__)

__snake_case         =					{
    """microsoft/markuplm-base""": """https://huggingface.co/microsoft/markuplm-base/resolve/main/config.json""",
    """microsoft/markuplm-large""": """https://huggingface.co/microsoft/markuplm-large/resolve/main/config.json""",
}







class _lowerCAmelCase       (   snake_case_			):
   __UpperCAmelCase				: Tuple													=						'''markuplm'''







   def __init__(			self		,			UpperCamelCase__=3_0522		,			UpperCamelCase__=768		,			UpperCamelCase__=12		,			UpperCamelCase__=12		,			UpperCamelCase__=3072		,			UpperCamelCase__="gelu"		,			UpperCamelCase__=0.1		,			UpperCamelCase__=0.1		,			UpperCamelCase__=512		,			UpperCamelCase__=2		,			UpperCamelCase__=0.02		,			UpperCamelCase__=1e-12		,			UpperCamelCase__=0		,			UpperCamelCase__=0		,			UpperCamelCase__=2		,			UpperCamelCase__=256		,			UpperCamelCase__=1024		,			UpperCamelCase__=216		,			UpperCamelCase__=1001		,			UpperCamelCase__=32		,			UpperCamelCase__=50		,			UpperCamelCase__="absolute"		,			UpperCamelCase__=True		,			UpperCamelCase__=None		,			**UpperCamelCase__		,			)			->	Any:

       '''simple docstring'''




       super().__init__(
           pad_token_id=UpperCamelCase__		,			bos_token_id=UpperCamelCase__		,			eos_token_id=UpperCamelCase__		,			**UpperCamelCase__		,			)
       snake_case					:   List[str]         =					vocab_size
       snake_case					:   Optional[int]         =					hidden_size
       snake_case					:   List[str]         =					num_hidden_layers
       snake_case					:   Union[str, Any]         =					num_attention_heads
       snake_case					:   Dict         =					hidden_act
       snake_case					:   Tuple         =					intermediate_size
       snake_case					:   int         =					hidden_dropout_prob
       snake_case					:   Tuple         =					attention_probs_dropout_prob
       snake_case					:   Dict         =					max_position_embeddings
       snake_case					:   Optional[Any]         =					type_vocab_size
       snake_case					:   Any         =					initializer_range
       snake_case					:   Union[str, Any]         =					layer_norm_eps
       snake_case					:   List[str]         =					position_embedding_type
       snake_case					:   Optional[Any]         =					use_cache
       snake_case					:   str         =					classifier_dropout
       # additional properties
       snake_case					:   Optional[int]         =					max_depth
       snake_case					:   Optional[int]         =					max_xpath_tag_unit_embeddings
       snake_case					:   str         =					max_xpath_subs_unit_embeddings
       snake_case					:   int         =					tag_pad_id
       snake_case					:   Dict         =					subs_pad_id
       snake_case					:   List[str]         =					xpath_unit_hidden_size





