






__UpperCAmelCase     							=						range(2, 20 + 1)
__UpperCAmelCase     							=						[10**k for k in range(ks[-1] + 1)]
__UpperCAmelCase     							=						{}




def 					lowercase__				(					__snake_case   :							Any					,	__snake_case   :							int					,	__snake_case   :							str					,	__snake_case   :							str  ):


					'''simple docstring'''


					UpperCAmelCase_   :				Optional[Any]						=						sum(a_i[j] for j in range(_A					,	len(_A  )  )  )
					UpperCAmelCase_   :				Any						=						sum(a_i[j] * base[j] for j in range(min(len(_A  )					,	_A  )  )  )

					UpperCAmelCase_   :				Optional[int]						=						0, 0
					UpperCAmelCase_   :				Dict						=						n - i

					UpperCAmelCase_   :				List[Any]						=						memo.get(_A  )

					if sub_memo is not None:
										UpperCAmelCase_   :				List[Any]						=						sub_memo.get(_A  )

										if jumps is not None and len(_A  ) > 0:
															# find and make the largest jump without going over
															UpperCAmelCase_   :				Optional[int]						=						-1
															for _k in range(len(_A  ) - 1					,	-1					,	-1  ):
																				if jumps[_k][2] <= k and jumps[_k][1] <= max_dn:
																									UpperCAmelCase_   :				str						=						_k
																									break

															if max_jump >= 0:
																				UpperCAmelCase_   :				str						=						jumps[max_jump]
																				# since the difference between jumps is cached, add c
																				UpperCAmelCase_   :				Optional[Any]						=						diff + c
																				for j in range(min(_A					,	len(_A  )  )  ):
																									UpperCAmelCase_   :				str						=						divmod(_A					,	10  )
																				if new_c > 0:
																									add(_A					,	_A					,	_A  )

										else:
															UpperCAmelCase_   :				Union[str, Any]						=						[]
					else:
										UpperCAmelCase_   :				Dict						=						{c: []}
										UpperCAmelCase_   :				Optional[Any]						=						sub_memo

					if dn >= max_dn or c + diff >= base[k]:
										return diff, dn

					if k > ks[0]:
										while True:
															# keep doing smaller jumps
															UpperCAmelCase_   :				Optional[Any]						=						next_term(_A					,	k - 1					,	i + dn					,	_A  )
															diff += _diff
															dn += terms_jumped

															if dn >= max_dn or c + diff >= base[k]:
																				break
					else:
										# would be too small a jump, just compute sequential terms instead
										UpperCAmelCase_   :				Any						=						compute(_A					,	_A					,	i + dn					,	_A  )
										diff += _diff
										dn += terms_jumped

					UpperCAmelCase_   :				Union[str, Any]						=						sub_memo[c]

					# keep jumps sorted by # of terms skipped
					UpperCAmelCase_   :				Tuple						=						0
					while j < len(_A  ):
										if jumps[j][1] > dn:
															break
										j += 1

					# cache the jump for this value digitsum(b) and c
					sub_memo[c].insert(_A					,	(diff, dn, k)  )
					return (diff, dn)




def 					lowercase__				(					__snake_case   :							int					,	__snake_case   :							Dict					,	__snake_case   :							List[Any]					,	__snake_case   :							Any  ):


					'''simple docstring'''


					if i >= n:
										return 0, i
					if k > len(_A  ):
										a_i.extend([0 for _ in range(k - len(_A  )  )]  )

					# note: a_i -> b * 10^k + c
					# ds_b -> digitsum(b)
					# ds_c -> digitsum(c)
					UpperCAmelCase_   :				int						=						i
					UpperCAmelCase_   :				Tuple						=						0, 0, 0
					for j in range(len(_A  )  ):
										if j >= k:
															ds_b += a_i[j]
										else:
															ds_c += a_i[j]

					while i < n:
										i += 1
										UpperCAmelCase_   :				List[str]						=						ds_c + ds_b
										diff += addend
										UpperCAmelCase_   :				Dict						=						0
										for j in range(_A  ):
															UpperCAmelCase_   :				Dict						=						a_i[j] + addend
															UpperCAmelCase_   :				Any						=						divmod(_A					,	10  )

															ds_c += a_i[j]

										if addend > 0:
															break

					if addend > 0:
										add(_A					,	_A					,	_A  )
					return diff, i - start_i




def 					lowercase__				(					__snake_case   :							Optional[int]					,	__snake_case   :							Union[str, Any]					,	__snake_case   :							Any  ):


					'''simple docstring'''


					for j in range(_A					,	len(_A  )  ):
										UpperCAmelCase_   :				Union[str, Any]						=						digits[j] + addend
										if s >= 10:
															UpperCAmelCase_   :				str						=						divmod(_A					,	10  )
															UpperCAmelCase_   :				str						=						addend // 10 + quotient
										else:
															UpperCAmelCase_   :				Union[str, Any]						=						s
															UpperCAmelCase_   :				Optional[int]						=						addend // 10

										if addend == 0:
															break

					while addend > 0:
										UpperCAmelCase_   :				int						=						divmod(_A					,	10  )
										digits.append(_A  )




def 					lowercase__				(					__snake_case   :							List[str] = 10**15  ):


					'''simple docstring'''


					UpperCAmelCase_   :				Optional[Any]						=						[1]
					UpperCAmelCase_   :				Any						=						1
					UpperCAmelCase_   :				Dict						=						0
					while True:
										UpperCAmelCase_   :				int						=						next_term(_A					,	20					,	i + dn					,	_A  )
										dn += terms_jumped
										if dn == n - i:
															break

					UpperCAmelCase_   :				Dict						=						0
					for j in range(len(_A  )  ):
										a_n += digits[j] * 10**j
					return a_n


if __name__ == "__main__":
		print(F'{solution() = }')







import os
from shutil import copyfile
from typing import List, Optional, Tuple

from ...tokenization_utils import AddedToken
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
		from .tokenization_barthez import BarthezTokenizer
else:
		__UpperCAmelCase     							=						None

__UpperCAmelCase     							=						logging.get_logger(__name__)

__UpperCAmelCase     							=						{'vocab_file': 'sentencepiece.bpe.model', 'tokenizer_file': 'tokenizer.json'}

__UpperCAmelCase     							=						{
    'vocab_file': {
        'moussaKam/mbarthez': 'https://huggingface.co/moussaKam/mbarthez/resolve/main/sentencepiece.bpe.model',
        'moussaKam/barthez': 'https://huggingface.co/moussaKam/barthez/resolve/main/sentencepiece.bpe.model',
        'moussaKam/barthez-orangesum-title': (
            'https://huggingface.co/moussaKam/barthez-orangesum-title/resolve/main/sentencepiece.bpe.model'
        ),
    },
    'tokenizer_file': {
        'moussaKam/mbarthez': 'https://huggingface.co/moussaKam/mbarthez/resolve/main/tokenizer.json',
        'moussaKam/barthez': 'https://huggingface.co/moussaKam/barthez/resolve/main/tokenizer.json',
        'moussaKam/barthez-orangesum-title': (
            'https://huggingface.co/moussaKam/barthez-orangesum-title/resolve/main/tokenizer.json'
        ),
    },
}

__UpperCAmelCase     							=						{
    'moussaKam/mbarthez': 1024,
    'moussaKam/barthez': 1024,
    'moussaKam/barthez-orangesum-title': 1024,
}

__UpperCAmelCase     							=						'▁'



class   lowerCamelCase				(_snake_case      ):







		'''simple docstring'''



		_snake_case   :   List[Any]							=  VOCAB_FILES_NAMES
		_snake_case   :   Union[str, Any]							=  PRETRAINED_VOCAB_FILES_MAP
		_snake_case   :   Dict							=  PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
		_snake_case   :   Dict							=  ['''input_ids''', '''attention_mask''']
		_snake_case   :   Union[str, Any]							=  BarthezTokenizer



		def __init__(							self    ,		_UpperCamelCase=None    ,		_UpperCamelCase=None    ,		_UpperCamelCase="<s>"    ,		_UpperCamelCase="</s>"    ,		_UpperCamelCase="</s>"    ,		_UpperCamelCase="<s>"    ,		_UpperCamelCase="<unk>"    ,		_UpperCamelCase="<pad>"    ,		_UpperCamelCase="<mask>"    ,		**_UpperCamelCase    ,		)     ->							str:
							# Mask token behave like a normal word, i.e. include the space before it
							UpperCAmelCase_   :				List[Any]						=						AddedToken(_UpperCamelCase    ,		lstrip=_UpperCamelCase    ,		rstrip=_UpperCamelCase       ) if isinstance(_UpperCamelCase    ,		_UpperCamelCase       ) else mask_token

							super().__init__(
							    _UpperCamelCase    ,		tokenizer_file=_UpperCamelCase    ,		bos_token=_UpperCamelCase    ,		eos_token=_UpperCamelCase    ,		unk_token=_UpperCamelCase    ,		sep_token=_UpperCamelCase    ,		cls_token=_UpperCamelCase    ,		pad_token=_UpperCamelCase    ,		mask_token=_UpperCamelCase    ,		**_UpperCamelCase    ,		)

							UpperCAmelCase_   :				Tuple						=						vocab_file
							UpperCAmelCase_   :				Tuple						=						False if not self.vocab_file else True



		def  __UpperCAmelCase      (							self    ,		_UpperCamelCase    ,		_UpperCamelCase = None       )     ->							List[int]:

							if token_ids_a is None:
												return [self.cls_token_id] + token_ids_a + [self.sep_token_id]
							UpperCAmelCase_   :				Union[str, Any]						=						[self.cls_token_id]
							UpperCAmelCase_   :				Optional[Any]						=						[self.sep_token_id]
							return cls + token_ids_a + sep + sep + token_ids_a + sep



		def  __UpperCAmelCase      (							self    ,		_UpperCamelCase    ,		_UpperCamelCase = None       )     ->							List[int]:
							UpperCAmelCase_   :				Any						=						[self.sep_token_id]
							UpperCAmelCase_   :				List[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  __UpperCAmelCase      (							self    ,		_UpperCamelCase    ,		_UpperCamelCase = None       )     ->							Tuple[str]:
							if not self.can_save_slow_tokenizer:
												raise ValueError(
												    'Your fast tokenizer does not have the necessary information to save the vocabulary for a slow '
												    'tokenizer.'       )

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

							if os.path.abspath(self.vocab_file       ) != os.path.abspath(_UpperCamelCase       ):
												copyfile(self.vocab_file    ,		_UpperCamelCase       )

							return (out_vocab_file,)






