from math import isqrt, loga







def      _a					(   lowercase__	:      int			):







     '''simple docstring'''


     SCREAMING_SNAKE_CASE__					:					int      =		[True] * max_number
     for i in range(2  ,	isqrt(max_number - 1			) + 1			):
          if is_prime[i]:
               for j in range(i**2  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE			):
                    SCREAMING_SNAKE_CASE__					:					List[Any]      =		False

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







def      _a					(   lowercase__	:      int = 80_08_00  ,	lowercase__	:      int = 80_08_00			):







     '''simple docstring'''


     SCREAMING_SNAKE_CASE__					:					List[Any]      =		degree * loga(_SCREAMING_SNAKE_CASE			)
     SCREAMING_SNAKE_CASE__					:					List[str]      =		int(_SCREAMING_SNAKE_CASE			)
     SCREAMING_SNAKE_CASE__					:					Union[str, Any]      =		calculate_prime_numbers(_SCREAMING_SNAKE_CASE			)

     SCREAMING_SNAKE_CASE__					:					Union[str, Any]      =		0
     SCREAMING_SNAKE_CASE__					:					Any      =		0
     SCREAMING_SNAKE_CASE__					:					str      =		len(_SCREAMING_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'''





from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


UpperCAmelCase__  			=				logging.get_logger(__name__)

UpperCAmelCase__  			=				{
    '''roberta-base''': '''https://huggingface.co/roberta-base/resolve/main/config.json''',
    '''roberta-large''': '''https://huggingface.co/roberta-large/resolve/main/config.json''',
    '''roberta-large-mnli''': '''https://huggingface.co/roberta-large-mnli/resolve/main/config.json''',
    '''distilroberta-base''': '''https://huggingface.co/distilroberta-base/resolve/main/config.json''',
    '''roberta-base-openai-detector''': '''https://huggingface.co/roberta-base-openai-detector/resolve/main/config.json''',
    '''roberta-large-openai-detector''': '''https://huggingface.co/roberta-large-openai-detector/resolve/main/config.json''',
}
class 						a__					(					a_   ):





			'''simple docstring'''

			A						:				Union[str, Any]					      =			'''roberta'''
			def __init__(  self							:			Any			,    lowerCAmelCase_							:			int=50_265			,    lowerCAmelCase_							:			int=768			,    lowerCAmelCase_							:			Optional[Any]=12			,    lowerCAmelCase_							:			Tuple=12			,    lowerCAmelCase_							:			Optional[int]=3_072			,    lowerCAmelCase_							:			List[str]="gelu"			,    lowerCAmelCase_							:			List[str]=0.1			,    lowerCAmelCase_							:			Tuple=0.1			,    lowerCAmelCase_							:			List[Any]=512			,    lowerCAmelCase_							:			Union[str, Any]=2			,    lowerCAmelCase_							:			List[Any]=0.02			,    lowerCAmelCase_							:			Optional[int]=1E-12			,    lowerCAmelCase_							:			str=1			,    lowerCAmelCase_							:			Dict=0			,    lowerCAmelCase_							:			Any=2			,    lowerCAmelCase_							:			List[str]="absolute"			,    lowerCAmelCase_							:			Any=True			,    lowerCAmelCase_							:			Dict=None			,    **lowerCAmelCase_							:			Any			,    )      ->		int:
						super().__init__(pad_token_id=lowerCAmelCase_			,    bos_token_id=lowerCAmelCase_			,    eos_token_id=lowerCAmelCase_			,    **lowerCAmelCase_	)

						__A=	vocab_size
						__A=	hidden_size
						__A=	num_hidden_layers
						__A=	num_attention_heads
						__A=	hidden_act
						__A=	intermediate_size
						__A=	hidden_dropout_prob
						__A=	attention_probs_dropout_prob
						__A=	max_position_embeddings
						__A=	type_vocab_size
						__A=	initializer_range
						__A=	layer_norm_eps
						__A=	position_embedding_type
						__A=	use_cache
						__A=	classifier_dropout


class 						a__					(					a_   ):





			'''simple docstring'''

			@property
			def 					lowerCAmelCase     (  self							:			Any	)      ->		Mapping[str, Mapping[int, str]]:
						if self.task == "multiple-choice":
									__A=	{0: 'batch', 1: 'choice', 2: 'sequence'}
						else:
									__A=	{0: 'batch', 1: 'sequence'}
						return OrderedDict(
						    [
						        ('input_ids', dynamic_axis),
						        ('attention_mask', dynamic_axis),
						    ]	)



