'''simple docstring'''




def __lowerCAmelCase			(							UpperCamelCase__    )     ->   "list[int]":
    if upper_limit < 0:
        raise ValueError('''Limit for the Catalan sequence must be ≥ 0'''    )

    __lowerCamelCase          =  [0] * (upper_limit + 1)

    # Base case: C(0) = C(1) = 1
    __lowerCamelCase          =  1
    if upper_limit > 0:
        __lowerCamelCase          =  1

    # Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
    for i in range(2    ,  upper_limit + 1    ):
        for j in range(UpperCamelCase__    ):
            catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

    return catalan_list


if __name__ == "__main__":
  print("\n********* Catalan Numbers Using Dynamic Programming ************\n")
  print("\n*** Enter -1 at any time to quit ***")
  print("\nEnter the upper limit (≥ 0) for the Catalan number sequence: ", end="")
  try:
    while True:
      __UpperCAmelCase												=int(input().strip())
      if N < 0:
        print("\n********* Goodbye!! ************")
        break
      else:
        print(f'The Catalan numbers from 0 through {N} are:')
        print(catalan_numbers(N))
        print("Try another upper limit for the sequence: ", end="")
  except (NameError, ValueError):
    print("\n********* Invalid input, goodbye! ************\n")

  import doctest

  doctest.testmod()

'''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


__UpperCAmelCase												=logging.get_logger(__name__)


__UpperCAmelCase												={"vocab_file": "vocab.json", "merges_file": "merges.txt"}

__UpperCAmelCase												={
    "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"
        ),
    },
}

__UpperCAmelCase												={
    "allenai/longformer-base-4096": 4_0_9_6,
    "allenai/longformer-large-4096": 4_0_9_6,
    "allenai/longformer-large-4096-finetuned-triviaqa": 4_0_9_6,
    "allenai/longformer-base-4096-extra.pos.embd.only": 4_0_9_6,
    "allenai/longformer-large-4096-extra.pos.embd.only": 4_0_9_6,
}






@lru_cache()
# Copied from transformers.models.roberta.tokenization_roberta.bytes_to_unicode
def __lowerCAmelCase			(							)     ->   Optional[int]:
    __lowerCamelCase          =  (
        list(range(ord('''!'''    )    ,  ord('''~'''    ) + 1    )    ) + list(range(ord('''¡'''    )    ,  ord('''¬'''    ) + 1    )    ) + list(range(ord('''®'''    )    ,  ord('''ÿ'''    ) + 1    )    )
    )
    __lowerCamelCase          =  bs[:]
    __lowerCamelCase          =  0
    for b in range(2**8    ):
        if b not in bs:
            bs.append(UpperCamelCase__    )
            cs.append(2**8 + n    )
            n += 1
    __lowerCamelCase          =  [chr(UpperCamelCase__    ) for n in cs]
    return dict(zip(UpperCamelCase__    ,  UpperCamelCase__    )    )






def __lowerCAmelCase			(							UpperCamelCase__    )     ->   List[str]:
    __lowerCamelCase          =  set()
    __lowerCamelCase          =  word[0]
    for char in word[1:]:
        pairs.add((prev_char, char)    )
        __lowerCamelCase          =  char
    return pairs




class    a__				(       UpperCAmelCase__			):
     lowerCamelCase  :					Dict							=VOCAB_FILES_NAMES
     lowerCamelCase  :					Optional[Any]							=PRETRAINED_VOCAB_FILES_MAP
     lowerCamelCase  :					Union[str, Any]							=PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
     lowerCamelCase  :					List[Any]							=["input_ids", "attention_mask"]






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





         """simple docstring"""



         __lowerCamelCase          =  AddedToken(a  ,    lstrip=a  ,    rstrip=a   ) if isinstance(a  ,    a   ) else bos_token
         __lowerCamelCase          =  AddedToken(a  ,    lstrip=a  ,    rstrip=a   ) if isinstance(a  ,    a   ) else eos_token
         __lowerCamelCase          =  AddedToken(a  ,    lstrip=a  ,    rstrip=a   ) if isinstance(a  ,    a   ) else sep_token
         __lowerCamelCase          =  AddedToken(a  ,    lstrip=a  ,    rstrip=a   ) if isinstance(a  ,    a   ) else cls_token
         __lowerCamelCase          =  AddedToken(a  ,    lstrip=a  ,    rstrip=a   ) if isinstance(a  ,    a   ) else unk_token
         __lowerCamelCase          =  AddedToken(a  ,    lstrip=a  ,    rstrip=a   ) if isinstance(a  ,    a   ) else pad_token

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

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

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

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






     @property
     def        SCREAMING_SNAKE_CASE__       (			self		:		Union[str, Any]   ):





         """simple docstring"""



         return len(self.encoder   )






     def        SCREAMING_SNAKE_CASE__       (			self		:		List[str]   ):





         """simple docstring"""



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






     def        SCREAMING_SNAKE_CASE__       (			self		:		Union[str, Any]  ,    a		:		int   ):





         """simple docstring"""



         if token in self.cache:
             return self.cache[token]
         __lowerCamelCase          =  tuple(a   )
         __lowerCamelCase          =  get_pairs(a   )

         if not pairs:
             return token

         while True:
             __lowerCamelCase          =  min(a  ,    key=lambda a   : self.bpe_ranks.get(a  ,    float('''inf'''   )   )   )
             if bigram not in self.bpe_ranks:
                 break
             __lowerCamelCase     ,  __lowerCamelCase          =  bigram
             __lowerCamelCase          =  []
             __lowerCamelCase          =  0
             while i < len(a   ):
                 try:
                     __lowerCamelCase          =  word.index(a  ,    a   )
                 except ValueError:
                     new_word.extend(word[i:]   )
                     break
                 else:
                     new_word.extend(word[i:j]   )
                     __lowerCamelCase          =  j

                 if word[i] == first and i < len(a   ) - 1 and word[i + 1] == second:
                     new_word.append(first + second   )
                     i += 2
                 else:
                     new_word.append(word[i]   )
                     i += 1
             __lowerCamelCase          =  tuple(a   )
             __lowerCamelCase          =  new_word
             if len(a   ) == 1:
                 break
             else:
                 __lowerCamelCase          =  get_pairs(a   )
         __lowerCamelCase          =  ''' '''.join(a   )
         __lowerCamelCase          =  word
         return word






     def        SCREAMING_SNAKE_CASE__       (			self		:		str  ,    a		:		Optional[Any]   ):





         """simple docstring"""



         __lowerCamelCase          =  []
         for token in re.findall(self.pat  ,    a   ):
             __lowerCamelCase          =  ''''''.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(a   ).split(''' '''   )   )
         return bpe_tokens






     def        SCREAMING_SNAKE_CASE__       (			self		:		Optional[int]  ,    a		:		Tuple   ):





         """simple docstring"""



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






     def        SCREAMING_SNAKE_CASE__       (			self		:		Any  ,    a		:		Tuple   ):





         """simple docstring"""



         return self.decoder.get(a   )






     def        SCREAMING_SNAKE_CASE__       (			self		:		List[Any]  ,    a		:		Union[str, Any]   ):





         """simple docstring"""



         __lowerCamelCase          =  ''''''.join(a   )
         __lowerCamelCase          =  bytearray([self.byte_decoder[c] for c in text]   ).decode('''utf-8'''  ,    errors=self.errors   )
         return text






     def        SCREAMING_SNAKE_CASE__       (			self		:		List[str]  ,    a		:		str  ,    a		:		Optional[str] = None   ):





         """simple docstring"""



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

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

         __lowerCamelCase          =  0
         with open(a  ,    '''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 a   : 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!'''   )
                     __lowerCamelCase          =  token_index
                 writer.write(''' '''.join(a   ) + '''\n'''   )
                 index += 1

         return vocab_file, merge_file






     def        SCREAMING_SNAKE_CASE__       (			self		:		Tuple  ,    a		:		List[int]  ,    a		:		Optional[List[int]] = None   ):





         """simple docstring"""



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






     def        SCREAMING_SNAKE_CASE__       (			self		:		Dict  ,    a		:		List[int]  ,    a		:		Optional[List[int]] = None  ,    a		:		bool = False   ):





         """simple docstring"""



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

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






     def        SCREAMING_SNAKE_CASE__       (			self		:		List[str]  ,    a		:		List[int]  ,    a		:		Optional[List[int]] = 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]






     def        SCREAMING_SNAKE_CASE__       (			self		:		Tuple  ,    a		:		Dict  ,    a		:		Any=False  ,    **a		:		Any   ):





         """simple docstring"""



         __lowerCamelCase          =  kwargs.pop('''add_prefix_space'''  ,    self.add_prefix_space   )
         if (is_split_into_words or add_prefix_space) and (len(a   ) > 0 and not text[0].isspace()):
             __lowerCamelCase          =  ''' ''' + text
         return (text, kwargs)
