


'''simple docstring'''






from typing import Optional, Union

from ...file_utils import TensorType
from ...processing_utils import ProcessorMixin
from ...tokenization_utils_base import BatchEncoding, PaddingStrategy, TruncationStrategy




class 			a  (  _SCREAMING_SNAKE_CASE							):
 _lowerCAmelCase			       =						"""MarkupLMFeatureExtractor"""
 _lowerCAmelCase			       =						("""MarkupLMTokenizer""", """MarkupLMTokenizerFast""")
 _lowerCAmelCase			       =						True
 def __call__(			self   ,					__magic_name__=None   ,					__magic_name__=None   ,					__magic_name__=None   ,					__magic_name__=None   ,					__magic_name__=None   ,					__magic_name__ = True   ,					__magic_name__ = False   ,					__magic_name__ = None   ,					__magic_name__ = None   ,					__magic_name__ = 0   ,					__magic_name__ = None   ,					__magic_name__ = None   ,					__magic_name__ = None   ,					__magic_name__ = False   ,					__magic_name__ = False   ,					__magic_name__ = False   ,					__magic_name__ = False   ,					__magic_name__ = True   ,					__magic_name__ = None   ,					**__magic_name__   ,					)       ->				BatchEncoding:
      # first, create nodes and xpaths
      if self.parse_html:
           if html_strings is None:
                raise ValueError('Make sure to pass HTML strings in case `parse_html` is set to `True`'    )

           if nodes is not None or xpaths is not None or node_labels is not None:
                raise ValueError(
                    'Please don\'t pass nodes, xpaths nor node labels in case `parse_html` is set to `True`'    )

           _a         =				self.feature_extractor(__magic_name__    )
           _a         =				features['nodes']
           _a         =				features['xpaths']
      else:
           if html_strings is not None:
                raise ValueError('You have passed HTML strings but `parse_html` is set to `False`.'    )
           if nodes is None or xpaths is None:
                raise ValueError('Make sure to pass nodes and xpaths in case `parse_html` is set to `False`'    )

        # # second, apply the tokenizer
      if questions is not None and self.parse_html:
           if isinstance(__magic_name__   ,					__magic_name__    ):
                _a         =				[questions]  # add batch dimension (as the feature extractor always adds a batch dimension)

      _a         =				self.tokenizer(
          text=questions if questions is not None else nodes   ,					text_pair=nodes if questions is not None else None   ,					xpaths=__magic_name__   ,					node_labels=__magic_name__   ,					add_special_tokens=__magic_name__   ,					padding=__magic_name__   ,					truncation=__magic_name__   ,					max_length=__magic_name__   ,					stride=__magic_name__   ,					pad_to_multiple_of=__magic_name__   ,					return_token_type_ids=__magic_name__   ,					return_attention_mask=__magic_name__   ,					return_overflowing_tokens=__magic_name__   ,					return_special_tokens_mask=__magic_name__   ,					return_offsets_mapping=__magic_name__   ,					return_length=__magic_name__   ,					verbose=__magic_name__   ,					return_tensors=__magic_name__   ,					**__magic_name__   ,					)

      return encoded_inputs
 def 				__UpperCAmelCase		(			self   ,					*__magic_name__   ,					**__magic_name__    )       ->				Union[str, Any]:
      return self.tokenizer.batch_decode(*__magic_name__   ,					**__magic_name__    )
 def 				__UpperCAmelCase		(			self   ,					*__magic_name__   ,					**__magic_name__    )       ->				Tuple:
      return self.tokenizer.decode(*__magic_name__   ,					**__magic_name__    )




 @property
 def 				__UpperCAmelCase		(			self    )       ->				Optional[int]:
      _a         =				self.tokenizer.model_input_names
      return tokenizer_input_names





'''simple docstring'''






def 						_A					(lowerCAmelCase__	:int					,    lowerCAmelCase__	:int		) ->	int:




     '''simple docstring'''



     if a < b:
          return gcd(lowerCAmelCase__					,    lowerCAmelCase__		)
     if a % b == 0:
          return b
     return gcd(lowerCAmelCase__					,    a % b		)






def 						_A					(lowerCAmelCase__	:int					,    lowerCAmelCase__	:int					,    lowerCAmelCase__	:int		) ->	int:




     '''simple docstring'''



     if y == 0:
          return 1
     _a         =				power(lowerCAmelCase__					,    y // 2					,    lowerCAmelCase__		) % mod
     _a         =				(temp * temp) % mod
     if y % 2 == 1:
          _a         =				(temp * x) % mod
     return temp






def 						_A					(lowerCAmelCase__	:int		) ->	bool:




     '''simple docstring'''



     _a         =				2
     while b < n:
          if gcd(lowerCAmelCase__					,    lowerCAmelCase__		) == 1 and power(lowerCAmelCase__					,    n - 1					,    lowerCAmelCase__		) != 1:
               return False
          b += 1
     return True


if __name__ == "__main__":
 a_       :     Any 							=     int(input("Enter number: ").strip())
 if is_carmichael_number(number):
  print(f'''{number} is a Carmichael Number.''')
 else:
  print(f'''{number} is not a Carmichael Number.''')

