


'''simple docstring'''






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


lowercase				=logging.get_logger(__name__)

lowercase				={
    'studio-ousia/luke-base': 'https://huggingface.co/studio-ousia/luke-base/resolve/main/config.json',
    'studio-ousia/luke-large': 'https://huggingface.co/studio-ousia/luke-large/resolve/main/config.json',
}






class    __magic_name__				(						lowerCAmelCase							):
       UpperCAmelCase		 ="luke"






       def __init__(     self    ,				snake_case=5_0_2_6_7    ,				snake_case=5_0_0_0_0_0    ,				snake_case=7_6_8    ,				snake_case=2_5_6    ,				snake_case=1_2    ,				snake_case=1_2    ,				snake_case=3_0_7_2    ,				snake_case="gelu"    ,				snake_case=0.1    ,				snake_case=0.1    ,				snake_case=5_1_2    ,				snake_case=2    ,				snake_case=0.02    ,				snake_case=1E-1_2    ,				snake_case=True    ,				snake_case=None    ,				snake_case=1    ,				snake_case=0    ,				snake_case=2    ,				**snake_case    ,				)		->    Tuple:




          '''simple docstring'''
          super().__init__(pad_token_id=snake_case    ,				bos_token_id=snake_case    ,				eos_token_id=snake_case    ,				**snake_case)

          _UpperCAmelCase  :  Union[str, Any]				       =vocab_size
          _UpperCAmelCase  :  Optional[int]				       =entity_vocab_size
          _UpperCAmelCase  :  Union[str, Any]				       =hidden_size
          _UpperCAmelCase  :  Dict				       =entity_emb_size
          _UpperCAmelCase  :  Tuple				       =num_hidden_layers
          _UpperCAmelCase  :  str				       =num_attention_heads
          _UpperCAmelCase  :  str				       =hidden_act
          _UpperCAmelCase  :  Tuple				       =intermediate_size
          _UpperCAmelCase  :  List[str]				       =hidden_dropout_prob
          _UpperCAmelCase  :  Union[str, Any]				       =attention_probs_dropout_prob
          _UpperCAmelCase  :  List[str]				       =max_position_embeddings
          _UpperCAmelCase  :  Dict				       =type_vocab_size
          _UpperCAmelCase  :  Union[str, Any]				       =initializer_range
          _UpperCAmelCase  :  List[str]				       =layer_norm_eps
          _UpperCAmelCase  :  Optional[int]				       =use_entity_aware_attention
          _UpperCAmelCase  :  int				       =classifier_dropout





'''simple docstring'''






from __future__ import annotations

from fractions import Fraction





def lowerCamelCase__     (		__lowerCamelCase			:				int			,       __lowerCamelCase			:				int				):







   '''simple docstring'''




   return (
       num != den and num % 1_0 == den // 1_0 and (num // 1_0) / (den % 1_0) == num / den
   )





def lowerCamelCase__     (		__lowerCamelCase			:				int				):







   '''simple docstring'''




   _UpperCAmelCase  :  Optional[int]				       =[]
   _UpperCAmelCase  :  Union[str, Any]				       =1_1
   _UpperCAmelCase  :  Union[str, Any]				       =int('1' + '0' * digit_len				)
   for num in range(__lowerCamelCase			,       __lowerCamelCase				):
      while den <= 9_9:
         if (num != den) and (num % 1_0 == den // 1_0) and (den % 1_0 != 0):
            if is_digit_cancelling(__lowerCamelCase			,       __lowerCamelCase				):
               solutions.append(f"{num}/{den}"				)
         den += 1
      num += 1
      _UpperCAmelCase  :  Optional[int]				       =1_0
   return solutions





def lowerCamelCase__     (		__lowerCamelCase			:				int = 2				):







   '''simple docstring'''




   _UpperCAmelCase  :  Any				       =1.0
   for fraction in fraction_list(__lowerCamelCase				):
      _UpperCAmelCase  :  List[str]				       =Fraction(__lowerCamelCase				)
      result *= frac.denominator / frac.numerator
   return int(__lowerCamelCase				)


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

