



import math



class 	__lowerCAmelCase       :




 def __init__(  self		,			__UpperCAmelCase		,			__UpperCAmelCase		,			__UpperCAmelCase		,			__UpperCAmelCase			):



    '''simple docstring'''
    __lowerCamelCase  							=      x
    __lowerCamelCase  							=      y
    __lowerCamelCase  							=      step_size
    __lowerCamelCase  							=      function_to_optimize




 def     lowerCamelCase (  self			):



    '''simple docstring'''
    return self.function(self.x		,			self.y			)




 def     lowerCamelCase (  self			):



    '''simple docstring'''
    __lowerCamelCase  							=      self.step_size
    return [
        SearchProblem(__UpperCAmelCase		,			__UpperCAmelCase		,			__UpperCAmelCase		,			self.function			)
        for x, y in (
            (self.x - step_size, self.y - step_size),
            (self.x - step_size, self.y),
            (self.x - step_size, self.y + step_size),
            (self.x, self.y - step_size),
            (self.x, self.y + step_size),
            (self.x + step_size, self.y - step_size),
            (self.x + step_size, self.y),
            (self.x + step_size, self.y + step_size),
        )
    ]




 def __hash__(  self			):



    '''simple docstring'''
    return hash(str(self			)			)




 def __eq__(  self		,			__UpperCAmelCase			):



    '''simple docstring'''
    if isinstance(__UpperCAmelCase		,			__UpperCAmelCase			):
       return hash(str(self			)			) == hash(str(__UpperCAmelCase			)			)
    return False




 def __str__(  self			):



    '''simple docstring'''
    return F"""x: {self.x} y: {self.y}"""





def 						a__     (						_UpperCamelCase     :	Tuple	,_UpperCamelCase     :	bool = True	,_UpperCamelCase     :	float = math.inf	,_UpperCamelCase     :	float = -math.inf	,_UpperCamelCase     :	float = math.inf	,_UpperCamelCase     :	float = -math.inf	,_UpperCamelCase     :	bool = False	,_UpperCamelCase     :	int = 1_00_00	,):
   __lowerCamelCase  							=      search_prob
   __lowerCamelCase  							=      []  # list to store the current score at each iteration
   __lowerCamelCase  							=      0
   __lowerCamelCase  							=      False
   __lowerCamelCase  							=      set()
   while not solution_found and iterations < max_iter:
      visited.add(_UpperCamelCase							)
      iterations += 1
      __lowerCamelCase  							=      current_state.score()
      scores.append(_UpperCamelCase							)
      __lowerCamelCase  							=      current_state.get_neighbors()
      __lowerCamelCase  							=      -math.inf
      __lowerCamelCase  							=      math.inf
      __lowerCamelCase  							=      None  # to hold the next best neighbor
      for neighbor in neighbors:
         if neighbor in visited:
            continue  # do not want to visit the same state again
         if (
             neighbor.x > max_x
             or neighbor.x < min_x
             or neighbor.y > max_y
             or neighbor.y < min_y
         ):
            continue  # neighbor outside our bounds
         __lowerCamelCase  							=      neighbor.score() - current_score
         if find_max:  # finding max
            # going to direction with greatest ascent
            if change > max_change and change > 0:
               __lowerCamelCase  							=      change
               __lowerCamelCase  							=      neighbor
         else:  # finding min
            # to direction with greatest descent
            if change < min_change and change < 0:
               __lowerCamelCase  							=      change
               __lowerCamelCase  							=      neighbor
      if next_state is not None:
         # we found at least one neighbor which improved the current state
         __lowerCamelCase  							=      next_state
      else:
         # since we have no neighbor that improves the solution we stop the search
         __lowerCamelCase  							=      True

   if visualization:
      from matplotlib import pyplot as plt

      plt.plot(range(_UpperCamelCase							)	,_UpperCamelCase							)
      plt.xlabel('''Iterations'''							)
      plt.ylabel('''Function values'''							)
      plt.show()

   return current_state


if __name__ == "__main__":
  import doctest

  doctest.testmod()





  def 						a__     (						_UpperCamelCase     :	Union[str, Any]	,_UpperCamelCase     :	Union[str, Any]							):
     return (x**2) + (y**2)

  # starting the problem with initial coordinates (3, 4)
  a_								=   SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
  a_								=   hill_climbing(prob, find_max=False)
  print(
      """The minimum score for f(x, y) = x^2 + y^2 found via hill climbing: """
      f"{local_min.score()}"
  )

  # starting the problem with initial coordinates (12, 47)
  a_								=   SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
  a_								=   hill_climbing(
      prob, find_max=False, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
  )
  print(
      """The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 """
      f"and 50 > y > - 5 found via hill climbing: {local_min.score()}"
  )





  def 						a__     (						_UpperCamelCase     :	int	,_UpperCamelCase     :	Dict							):
     return (3 * x**2) - (6 * y)

  a_								=   SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
  a_								=   hill_climbing(prob, find_max=True)





  print(
      """The maximum score for f(x, y) = x^2 + y^2 found via hill climbing: """
      f"{local_min.score()}"
  )











import json
from typing import List, Optional, Tuple

from tokenizers import pre_tokenizers, processors

from ...tokenization_utils_base import AddedToken, BatchEncoding
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_longformer import LongformerTokenizer


a_								=   logging.get_logger(__name__)

a_								=   {"""vocab_file""": """vocab.json""", """merges_file""": """merges.txt""", """tokenizer_file""": """tokenizer.json"""}

a_								=   {
    """vocab_file""": {
        """allenai/longformer-base-4096""": """https://huggingface.co/allenai/longformer-base-4096/resolve/main/vocab.json""",
        """allenai/longformer-large-4096""": (
            """https://huggingface.co/allenai/longformer-large-4096/resolve/main/vocab.json"""
        ),
        """allenai/longformer-large-4096-finetuned-triviaqa""": (
            """https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/vocab.json"""
        ),
        """allenai/longformer-base-4096-extra.pos.embd.only""": (
            """https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/vocab.json"""
        ),
        """allenai/longformer-large-4096-extra.pos.embd.only""": (
            """https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/vocab.json"""
        ),
    },
    """merges_file""": {
        """allenai/longformer-base-4096""": """https://huggingface.co/allenai/longformer-base-4096/resolve/main/merges.txt""",
        """allenai/longformer-large-4096""": (
            """https://huggingface.co/allenai/longformer-large-4096/resolve/main/merges.txt"""
        ),
        """allenai/longformer-large-4096-finetuned-triviaqa""": (
            """https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/merges.txt"""
        ),
        """allenai/longformer-base-4096-extra.pos.embd.only""": (
            """https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/merges.txt"""
        ),
        """allenai/longformer-large-4096-extra.pos.embd.only""": (
            """https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/merges.txt"""
        ),
    },
    """tokenizer_file""": {
        """allenai/longformer-base-4096""": (
            """https://huggingface.co/allenai/longformer-base-4096/resolve/main/tokenizer.json"""
        ),
        """allenai/longformer-large-4096""": (
            """https://huggingface.co/allenai/longformer-large-4096/resolve/main/tokenizer.json"""
        ),
        """allenai/longformer-large-4096-finetuned-triviaqa""": (
            """https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/tokenizer.json"""
        ),
        """allenai/longformer-base-4096-extra.pos.embd.only""": (
            """https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/tokenizer.json"""
        ),
        """allenai/longformer-large-4096-extra.pos.embd.only""": (
            """https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/tokenizer.json"""
        ),
    },
}

a_								=   {
    """allenai/longformer-base-4096""": 4_096,
    """allenai/longformer-large-4096""": 4_096,
    """allenai/longformer-large-4096-finetuned-triviaqa""": 4_096,
    """allenai/longformer-base-4096-extra.pos.embd.only""": 4_096,
    """allenai/longformer-large-4096-extra.pos.embd.only""": 4_096,
}



class 	__lowerCAmelCase       (		lowerCAmelCase__				):
 lowerCAmelCase__       =					VOCAB_FILES_NAMES
 lowerCAmelCase__       =					PRETRAINED_VOCAB_FILES_MAP
 lowerCAmelCase__       =					PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
 lowerCAmelCase__       =					["""input_ids""", """attention_mask"""]
 lowerCAmelCase__       =					LongformerTokenizer




 def __init__(  self		,			__UpperCAmelCase=None		,			__UpperCAmelCase=None		,			__UpperCAmelCase=None		,			__UpperCAmelCase="replace"		,			__UpperCAmelCase="<s>"		,			__UpperCAmelCase="</s>"		,			__UpperCAmelCase="</s>"		,			__UpperCAmelCase="<s>"		,			__UpperCAmelCase="<unk>"		,			__UpperCAmelCase="<pad>"		,			__UpperCAmelCase="<mask>"		,			__UpperCAmelCase=False		,			__UpperCAmelCase=True		,			**__UpperCAmelCase		,			):



    '''simple docstring'''
    super().__init__(
        __UpperCAmelCase		,			__UpperCAmelCase		,			tokenizer_file=__UpperCAmelCase		,			errors=__UpperCAmelCase		,			bos_token=__UpperCAmelCase		,			eos_token=__UpperCAmelCase		,			sep_token=__UpperCAmelCase		,			cls_token=__UpperCAmelCase		,			unk_token=__UpperCAmelCase		,			pad_token=__UpperCAmelCase		,			mask_token=__UpperCAmelCase		,			add_prefix_space=__UpperCAmelCase		,			trim_offsets=__UpperCAmelCase		,			**__UpperCAmelCase		,			)

    __lowerCamelCase  							=      json.loads(self.backend_tokenizer.pre_tokenizer.__getstate__()			)
    if pre_tok_state.get('''add_prefix_space'''		,			__UpperCAmelCase			) != add_prefix_space:
       __lowerCamelCase  							=      getattr(__UpperCAmelCase		,			pre_tok_state.pop('''type'''			)			)
       __lowerCamelCase  							=      add_prefix_space
       __lowerCamelCase  							=      pre_tok_class(**__UpperCAmelCase			)

    __lowerCamelCase  							=      add_prefix_space

    __lowerCamelCase  							=      '''post_processor'''
    __lowerCamelCase  							=      getattr(self.backend_tokenizer		,			__UpperCAmelCase		,			__UpperCAmelCase			)
    if tokenizer_component_instance:
       __lowerCamelCase  							=      json.loads(tokenizer_component_instance.__getstate__()			)

       # The lists 'sep' and 'cls' must be cased in tuples for the object `post_processor_class`
       if "sep" in state:
          __lowerCamelCase  							=      tuple(state['''sep''']			)
       if "cls" in state:
          __lowerCamelCase  							=      tuple(state['''cls''']			)

       __lowerCamelCase  							=      False

       if state.get('''add_prefix_space'''		,			__UpperCAmelCase			) != add_prefix_space:
          __lowerCamelCase  							=      add_prefix_space
          __lowerCamelCase  							=      True

       if state.get('''trim_offsets'''		,			__UpperCAmelCase			) != trim_offsets:
          __lowerCamelCase  							=      trim_offsets
          __lowerCamelCase  							=      True

       if changes_to_apply:
          __lowerCamelCase  							=      getattr(__UpperCAmelCase		,			state.pop('''type'''			)			)
          __lowerCamelCase  							=      component_class(**__UpperCAmelCase			)
          setattr(self.backend_tokenizer		,			__UpperCAmelCase		,			__UpperCAmelCase			)




 @property
 def     lowerCamelCase (  self			):



    '''simple docstring'''
    if self._mask_token is None:
       if self.verbose:
          logger.error('''Using mask_token, but it is not set yet.'''			)
       return None
    return str(self._mask_token			)




 @mask_token.setter
 def     lowerCamelCase (  self		,			__UpperCAmelCase			):



    '''simple docstring'''
    __lowerCamelCase  							=      AddedToken(__UpperCAmelCase		,			lstrip=__UpperCAmelCase		,			rstrip=__UpperCAmelCase			) if isinstance(__UpperCAmelCase		,			__UpperCAmelCase			) else value
    __lowerCamelCase  							=      value




 def     lowerCamelCase (  self		,			*__UpperCAmelCase		,			**__UpperCAmelCase			):



    '''simple docstring'''
    __lowerCamelCase  							=      kwargs.get('''is_split_into_words'''		,			__UpperCAmelCase			)
    assert self.add_prefix_space or not is_split_into_words, (
        F"""You need to instantiate {self.__class__.__name__} with add_prefix_space=True """
        "to use it with pretokenized inputs."
    )

    return super()._batch_encode_plus(*__UpperCAmelCase		,			**__UpperCAmelCase			)




 def     lowerCamelCase (  self		,			*__UpperCAmelCase		,			**__UpperCAmelCase			):



    '''simple docstring'''
    __lowerCamelCase  							=      kwargs.get('''is_split_into_words'''		,			__UpperCAmelCase			)

    assert self.add_prefix_space or not is_split_into_words, (
        F"""You need to instantiate {self.__class__.__name__} with add_prefix_space=True """
        "to use it with pretokenized inputs."
    )

    return super()._encode_plus(*__UpperCAmelCase		,			**__UpperCAmelCase			)




 def     lowerCamelCase (  self		,			__UpperCAmelCase		,			__UpperCAmelCase = None			):



    '''simple docstring'''
    __lowerCamelCase  							=      self._tokenizer.model.save(__UpperCAmelCase		,			name=__UpperCAmelCase			)
    return tuple(__UpperCAmelCase			)




 def     lowerCamelCase (  self		,			__UpperCAmelCase		,			__UpperCAmelCase=None			):



    '''simple docstring'''
    __lowerCamelCase  							=      [self.bos_token_id] + token_ids_a + [self.eos_token_id]
    if token_ids_a is None:
       return output

    return output + [self.eos_token_id] + token_ids_a + [self.eos_token_id]




 def     lowerCamelCase (  self		,			__UpperCAmelCase		,			__UpperCAmelCase = None			):



    '''simple docstring'''
    __lowerCamelCase  							=      [self.sep_token_id]
    __lowerCamelCase  							=      [self.cls_token_id]

    if token_ids_a is None:
       return len(cls + token_ids_a + sep			) * [0]
    return len(cls + token_ids_a + sep + sep + token_ids_a + sep			) * [0]






