




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


lowerCamelCase							:						Any					       =  logging.get_logger(__name__)

lowerCamelCase							:						Dict					       =  {
    "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     A(		UpperCamelCase  ):



 '''simple docstring'''


 UpperCamelCase		  =		'''luke'''

 def __init__(							self   :    int		,				A_   :    List[Any]=50267		,				A_   :    Any=500000		,				A_   :    Union[str, Any]=768		,				A_   :    int=256		,				A_   :    Dict=12		,				A_   :    Union[str, Any]=12		,				A_   :    Dict=3072		,				A_   :    List[Any]="gelu"		,				A_   :    Optional[int]=0.1		,				A_   :    Optional[Any]=0.1		,				A_   :    Union[str, Any]=512		,				A_   :    str=2		,				A_   :    Dict=0.02		,				A_   :    Any=1E-12		,				A_   :    List[str]=True		,				A_   :    List[str]=None		,				A_   :    Dict=1		,				A_   :    Optional[int]=0		,				A_   :    str=2		,				**A_   :    Tuple		,				)  ->      Tuple:

       """simple docstring"""






       super().__init__(pad_token_id=A_		,				bos_token_id=A_		,				eos_token_id=A_		,				**A_    )

       lowerCamelCase_							=       vocab_size
       lowerCamelCase_							=       entity_vocab_size
       lowerCamelCase_							=       hidden_size
       lowerCamelCase_							=       entity_emb_size
       lowerCamelCase_							=       num_hidden_layers
       lowerCamelCase_							=       num_attention_heads
       lowerCamelCase_							=       hidden_act
       lowerCamelCase_							=       intermediate_size
       lowerCamelCase_							=       hidden_dropout_prob
       lowerCamelCase_							=       attention_probs_dropout_prob
       lowerCamelCase_							=       max_position_embeddings
       lowerCamelCase_							=       type_vocab_size
       lowerCamelCase_							=       initializer_range
       lowerCamelCase_							=       layer_norm_eps
       lowerCamelCase_							=       use_entity_aware_attention
       lowerCamelCase_							=       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())

