






'''simple docstring'''



import json
import os
from functools import lru_cache
from typing import List, Optional, Tuple

import regex as re

from ...tokenization_utils import AddedToken, PreTrainedTokenizer
from ...utils import logging


SCREAMING_SNAKE_CASE						=	logging.get_logger(__name__)


SCREAMING_SNAKE_CASE						=	{'vocab_file': 'vocab.json', 'merges_file': 'merges.txt'}

# See all BART models at https://huggingface.co/models?filter=bart
SCREAMING_SNAKE_CASE						=	{
    'vocab_file': {
        'facebook/bart-base': 'https://huggingface.co/facebook/bart-base/resolve/main/vocab.json',
        'facebook/bart-large': 'https://huggingface.co/facebook/bart-large/resolve/main/vocab.json',
        'facebook/bart-large-mnli': 'https://huggingface.co/facebook/bart-large-mnli/resolve/main/vocab.json',
        'facebook/bart-large-cnn': 'https://huggingface.co/facebook/bart-large-cnn/resolve/main/vocab.json',
        'facebook/bart-large-xsum': 'https://huggingface.co/facebook/bart-large-xsum/resolve/main/vocab.json',
        'yjernite/bart_eli5': 'https://huggingface.co/yjernite/bart_eli5/resolve/main/vocab.json',
    },
    'merges_file': {
        'facebook/bart-base': 'https://huggingface.co/facebook/bart-base/resolve/main/merges.txt',
        'facebook/bart-large': 'https://huggingface.co/facebook/bart-large/resolve/main/merges.txt',
        'facebook/bart-large-mnli': 'https://huggingface.co/facebook/bart-large-mnli/resolve/main/merges.txt',
        'facebook/bart-large-cnn': 'https://huggingface.co/facebook/bart-large-cnn/resolve/main/merges.txt',
        'facebook/bart-large-xsum': 'https://huggingface.co/facebook/bart-large-xsum/resolve/main/merges.txt',
        'yjernite/bart_eli5': 'https://huggingface.co/yjernite/bart_eli5/resolve/main/merges.txt',
    },
}

SCREAMING_SNAKE_CASE						=	{
    'facebook/bart-base': 1_024,
    'facebook/bart-large': 1_024,
    'facebook/bart-large-mnli': 1_024,
    'facebook/bart-large-cnn': 1_024,
    'facebook/bart-large-xsum': 1_024,
    'yjernite/bart_eli5': 1_024,
}


@lru_cache()
def 							lowercase_				(    )       ->      Any:



 """simple docstring"""




 lowercase					:   List[str]				  =(
     list(range(ord('''!'''			)					,      ord('''~'''			) + 1			)			) + list(range(ord('''¡'''			)					,      ord('''¬'''			) + 1			)			) + list(range(ord('''®'''			)					,      ord('''ÿ'''			) + 1			)			)
 )
 lowercase					:   Optional[int]				  =bs[:]
 lowercase					:   Tuple				  =0
 for b in range(2**8			):
  if b not in bs:
   bs.append(__A			)
   cs.append(2**8 + n			)
   n += 1
 lowercase					:   int				  =[chr(__A			) for n in cs]
 return dict(zip(__A					,      __A			)			)


def 							lowercase_				(    __A :       Any			)       ->      List[str]:



 """simple docstring"""




 lowercase					:   List[Any]				  =set()
 lowercase					:   Any				  =word[0]
 for char in word[1:]:
  pairs.add((prev_char, char)			)
  lowercase					:   str				  =char
 return pairs





class UpperCAmelCase_					(    a__				):




      """simple docstring"""




      UpperCamelCase_								=			VOCAB_FILES_NAMES
      UpperCamelCase_								=			PRETRAINED_VOCAB_FILES_MAP
      UpperCamelCase_								=			PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      UpperCamelCase_								=			["input_ids", "attention_mask"]






      def __init__( self			:		Any     ,      UpperCAmelCase			:		int     ,      UpperCAmelCase			:		int     ,      UpperCAmelCase			:		Optional[Any]="replace"     ,      UpperCAmelCase			:		List[Any]="<s>"     ,      UpperCAmelCase			:		int="</s>"     ,      UpperCAmelCase			:		str="</s>"     ,      UpperCAmelCase			:		int="<s>"     ,      UpperCAmelCase			:		str="<unk>"     ,      UpperCAmelCase			:		Union[str, Any]="<pad>"     ,      UpperCAmelCase			:		str="<mask>"     ,      UpperCAmelCase			:		str=False     ,      **UpperCAmelCase			:		Union[str, Any]     ,      )  ->  str:


       '''simple docstring'''

       lowercase					:   Tuple				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else bos_token
       lowercase					:   Optional[Any]				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else eos_token
       lowercase					:   List[str]				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else sep_token
       lowercase					:   List[Any]				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else cls_token
       lowercase					:   Dict				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else unk_token
       lowercase					:   List[str]				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else pad_token

       # Mask token behave like a normal word, i.e. include the space before it
       lowercase					:   Tuple				  =AddedToken(lowerCamelCase_     ,      lstrip=lowerCamelCase_     ,      rstrip=lowerCamelCase_		) if isinstance(lowerCamelCase_     ,      lowerCamelCase_		) else mask_token

       super().__init__(
           errors=lowerCamelCase_     ,      bos_token=lowerCamelCase_     ,      eos_token=lowerCamelCase_     ,      unk_token=lowerCamelCase_     ,      sep_token=lowerCamelCase_     ,      cls_token=lowerCamelCase_     ,      pad_token=lowerCamelCase_     ,      mask_token=lowerCamelCase_     ,      add_prefix_space=lowerCamelCase_     ,      **lowerCamelCase_     ,      )

       with open(lowerCamelCase_     ,      encoding='''utf-8'''		) as vocab_handle:
        lowercase					:   List[str]				  =json.load(lowerCamelCase_		)
       lowercase					:   Dict				  ={v: k for k, v in self.encoder.items()}
       lowercase					:   Tuple				  =errors  # how to handle errors in decoding
       lowercase					:   Optional[int]				  =bytes_to_unicode()
       lowercase					:   List[Any]				  ={v: k for k, v in self.byte_encoder.items()}
       with open(lowerCamelCase_     ,      encoding='''utf-8'''		) as merges_handle:
        lowercase					:   Optional[int]				  =merges_handle.read().split('''\n'''		)[1:-1]
       lowercase					:   List[str]				  =[tuple(merge.split()		) for merge in bpe_merges]
       lowercase					:   Tuple				  =dict(zip(lowerCamelCase_     ,      range(len(lowerCamelCase_		)		)		)		)
       lowercase					:   Tuple				  ={}
       lowercase					:   Union[str, Any]				  =add_prefix_space

       # Should have added re.IGNORECASE so BPE merges can happen for capitalized versions of contractions
       lowercase					:   List[Any]				  =re.compile(R'''\'s|\'t|\'re|\'ve|\'m|\'ll|\'d| ?\p{L}+| ?\p{N}+| ?[^\s\p{L}\p{N}]+|\s+(?!\S)|\s+'''		)






      @property
      def 				A__      ( self			:		List[Any]		)  ->  str:


       '''simple docstring'''

       return len(self.encoder		)






      def 				A__      ( self			:		List[Any]		)  ->  Union[str, Any]:


       '''simple docstring'''

       return dict(self.encoder     ,      **self.added_tokens_encoder		)






      def 				A__      ( self			:		Tuple     ,      UpperCAmelCase			:		List[str]		)  ->  str:


       '''simple docstring'''

       if token in self.cache:
        return self.cache[token]
       lowercase					:   Optional[Any]				  =tuple(lowerCamelCase_		)
       lowercase					:   int				  =get_pairs(lowerCamelCase_		)

       if not pairs:
        return token

       while True:
        lowercase					:   List[Any]				  =min(lowerCamelCase_     ,      key=lambda UpperCAmelCase		: self.bpe_ranks.get(lowerCamelCase_     ,      float('''inf'''		)		)		)
        if bigram not in self.bpe_ranks:
         break
        lowercase  ,		lowercase					:   List[str]				  =bigram
        lowercase					:   Tuple				  =[]
        lowercase					:   Any				  =0
        while i < len(lowerCamelCase_		):
         try:
          lowercase					:   Union[str, Any]				  =word.index(lowerCamelCase_     ,      lowerCamelCase_		)
         except ValueError:
          new_word.extend(word[i:]		)
          break
         else:
          new_word.extend(word[i:j]		)
          lowercase					:   Tuple				  =j

         if word[i] == first and i < len(lowerCamelCase_		) - 1 and word[i + 1] == second:
          new_word.append(first + second		)
          i += 2
         else:
          new_word.append(word[i]		)
          i += 1
        lowercase					:   List[str]				  =tuple(lowerCamelCase_		)
        lowercase					:   Tuple				  =new_word
        if len(lowerCamelCase_		) == 1:
         break
        else:
         lowercase					:   int				  =get_pairs(lowerCamelCase_		)
       lowercase					:   str				  =''' '''.join(lowerCamelCase_		)
       lowercase					:   Optional[int]				  =word
       return word






      def 				A__      ( self			:		List[Any]     ,      UpperCAmelCase			:		Any		)  ->  Any:


       '''simple docstring'''

       lowercase					:   Any				  =[]
       for token in re.findall(self.pat     ,      lowerCamelCase_		):
        lowercase					:   int				  =''''''.join(
            self.byte_encoder[b] for b in token.encode('''utf-8'''		)		)  # Maps all our bytes to unicode strings, avoiding control tokens of the BPE (spaces in our case)
        bpe_tokens.extend(bpe_token for bpe_token in self.bpe(lowerCamelCase_		).split(''' '''		)		)
       return bpe_tokens






      def 				A__      ( self			:		Any     ,      UpperCAmelCase			:		Dict		)  ->  Tuple:


       '''simple docstring'''

       return self.encoder.get(lowerCamelCase_     ,      self.encoder.get(self.unk_token		)		)






      def 				A__      ( self			:		Optional[int]     ,      UpperCAmelCase			:		List[str]		)  ->  Any:


       '''simple docstring'''

       return self.decoder.get(lowerCamelCase_		)






      def 				A__      ( self			:		Dict     ,      UpperCAmelCase			:		Dict		)  ->  List[str]:


       '''simple docstring'''

       lowercase					:   int				  =''''''.join(lowerCamelCase_		)
       lowercase					:   List[Any]				  =bytearray([self.byte_decoder[c] for c in text]		).decode('''utf-8'''     ,      errors=self.errors		)
       return text






      def 				A__      ( self			:		Dict     ,      UpperCAmelCase			:		Optional[int]     ,      UpperCAmelCase			:		List[str] = None		)  ->  Tuple[str]:


       '''simple docstring'''

       if not os.path.isdir(lowerCamelCase_		):
        logger.error(f'Vocabulary path ({save_directory}) should be a directory'		)
        return
       lowercase					:   Optional[int]				  =os.path.join(
           lowerCamelCase_     ,      (filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''vocab_file''']		)
       lowercase					:   List[str]				  =os.path.join(
           lowerCamelCase_     ,      (filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''merges_file''']		)

       with open(lowerCamelCase_     ,      '''w'''     ,      encoding='''utf-8'''		) as f:
        f.write(json.dumps(self.encoder     ,      indent=2     ,      sort_keys=lowerCamelCase_     ,      ensure_ascii=lowerCamelCase_		) + '''\n'''		)

       lowercase					:   Optional[int]				  =0
       with open(lowerCamelCase_     ,      '''w'''     ,      encoding='''utf-8'''		) as writer:
        writer.write('''#version: 0.2\n'''		)
        for bpe_tokens, token_index in sorted(self.bpe_ranks.items()     ,      key=lambda UpperCAmelCase		: kv[1]		):
         if index != token_index:
          logger.warning(
              f'Saving vocabulary to {merge_file}: BPE merge indices are not consecutive.'
              ''' Please check that the tokenizer is not corrupted!'''		)
          lowercase					:   int				  =token_index
         writer.write(''' '''.join(lowerCamelCase_		) + '''\n'''		)
         index += 1

       return vocab_file, merge_file






      def 				A__      ( self			:		int     ,      UpperCAmelCase			:		Optional[int]     ,      UpperCAmelCase			:		Union[str, Any] = None		)  ->  List[int]:


       '''simple docstring'''

       if token_ids_a is None:
        return [self.cls_token_id] + token_ids_a + [self.sep_token_id]
       lowercase					:   Dict				  =[self.cls_token_id]
       lowercase					:   Dict				  =[self.sep_token_id]
       return cls + token_ids_a + sep + sep + token_ids_a + sep






      def 				A__      ( self			:		List[Any]     ,      UpperCAmelCase			:		int     ,      UpperCAmelCase			:		Optional[Any] = None     ,      UpperCAmelCase			:		Any = False		)  ->  List[int]:


       '''simple docstring'''

       if already_has_special_tokens:
        return super().get_special_tokens_mask(
            token_ids_a=lowerCamelCase_     ,      token_ids_a=lowerCamelCase_     ,      already_has_special_tokens=lowerCamelCase_		)

       if token_ids_a is None:
        return [1] + ([0] * len(lowerCamelCase_		)) + [1]
       return [1] + ([0] * len(lowerCamelCase_		)) + [1, 1] + ([0] * len(lowerCamelCase_		)) + [1]






      def 				A__      ( self			:		str     ,      UpperCAmelCase			:		Any     ,      UpperCAmelCase			:		List[Any] = None		)  ->  List[int]:


       '''simple docstring'''

       lowercase					:   int				  =[self.sep_token_id]
       lowercase					:   Optional[Any]				  =[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]






      def 				A__      ( self			:		List[Any]     ,      UpperCAmelCase			:		Any     ,      UpperCAmelCase			:		Any=False     ,      **UpperCAmelCase			:		int		)  ->  Any:


       '''simple docstring'''

       lowercase					:   List[Any]				  =kwargs.pop('''add_prefix_space'''     ,      self.add_prefix_space		)
       if (is_split_into_words or add_prefix_space) and (len(lowerCamelCase_		) > 0 and not text[0].isspace()):
        lowercase					:   Optional[int]				  =''' ''' + text
       return (text, kwargs)











'''simple docstring'''



from __future__ import annotations

import math


def 							lowercase_				(    __A :       float					,      __A :       int			)       ->      float:



 """simple docstring"""




 lowercase					:   str				  =u
 for i in range(1					,      __A			):
  lowercase					:   Any				  =temp * (u - i)
 return temp


def 							lowercase_				(    )       ->      None:



 """simple docstring"""




 lowercase					:   List[str]				  =int(input('''enter the numbers of values: '''			)			)
 lowercase					:   list[list[float]]				  =[]
 for _ in range(__A			):
  y.append([]			)
 for i in range(__A			):
  for j in range(__A			):
   y[i].append(__A			)
   lowercase					:   List[Any]				  =0

 print('''enter the values of parameters in a list: '''			)
 lowercase					:   Optional[int]				  =list(map(__A					,      input().split()			)			)

 print('''enter the values of corresponding parameters: '''			)
 for i in range(__A			):
  lowercase					:   str				  =float(input()			)

 lowercase					:   int				  =int(input('''enter the value to interpolate: '''			)			)
 lowercase					:   Union[str, Any]				  =(value - x[0]) / (x[1] - x[0])

 # for calculating forward difference table

 for i in range(1					,      __A			):
  for j in range(n - i			):
   lowercase					:   str				  =y[j + 1][i - 1] - y[j][i - 1]

 lowercase					:   Any				  =y[0][0]
 for i in range(1					,      __A			):
  summ += (ucal(__A					,      __A			) * y[0][i]) / math.factorial(__A			)

 print(F'the value at {value} is {summ}'			)


if __name__ == "__main__":
      main()



