





"""simple docstring"""





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

import sentencepiece as spm

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


lowerCAmelCase__   	=	logging.get_logger(__name__)

lowerCAmelCase__   	=	'''▁'''

lowerCAmelCase__   	=	{'''vocab_file''': '''sentencepiece.bpe.model'''}

lowerCAmelCase__   	=	{
    '''vocab_file''': {
        '''facebook/mbart-large-en-ro''': (
            '''https://huggingface.co/facebook/mbart-large-en-ro/resolve/main/sentencepiece.bpe.model'''
        ),
        '''facebook/mbart-large-cc25''': (
            '''https://huggingface.co/facebook/mbart-large-cc25/resolve/main/sentencepiece.bpe.model'''
        ),
    }
}

lowerCAmelCase__   	=	{
    '''facebook/mbart-large-en-ro''': 1_024,
    '''facebook/mbart-large-cc25''': 1_024,
}

# fmt: off
lowerCAmelCase__   	=	['''ar_AR''', '''cs_CZ''', '''de_DE''', '''en_XX''', '''es_XX''', '''et_EE''', '''fi_FI''', '''fr_XX''', '''gu_IN''', '''hi_IN''', '''it_IT''', '''ja_XX''', '''kk_KZ''', '''ko_KR''', '''lt_LT''', '''lv_LV''', '''my_MM''', '''ne_NP''', '''nl_XX''', '''ro_RO''', '''ru_RU''', '''si_LK''', '''tr_TR''', '''vi_VN''', '''zh_CN''']





class 				_lowerCamelCase					(				lowercase__       ):
						UpperCAmelCase_       =	VOCAB_FILES_NAMES
						UpperCAmelCase_       =	PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
						UpperCAmelCase_       =	PRETRAINED_VOCAB_FILES_MAP
						UpperCAmelCase_       =	["""input_ids""", """attention_mask"""]

						UpperCAmelCase_       =	[]
						UpperCAmelCase_       =	[]


						def __init__(self      ,							__a      ,							__a="<s>"      ,							__a="</s>"      ,							__a="</s>"      ,							__a="<s>"      ,							__a="<unk>"      ,							__a="<pad>"      ,							__a="<mask>"      ,							__a=None      ,							__a=None      ,							__a=None      ,							__a = None      ,							__a=None      ,							**__a      ,							)       ->      Optional[Any]:
								UpperCamelCase      =		AddedToken(lowercase_      ,							lstrip=lowercase_      ,							rstrip=lowercase_						) if isinstance(lowercase_      ,							lowercase_						) else mask_token

								UpperCamelCase      =		{} if sp_model_kwargs is None else sp_model_kwargs

								super().__init__(
								    bos_token=lowercase_      ,							eos_token=lowercase_      ,							unk_token=lowercase_      ,							sep_token=lowercase_      ,							cls_token=lowercase_      ,							pad_token=lowercase_      ,							mask_token=lowercase_      ,							tokenizer_file=lowercase_      ,							src_lang=lowercase_      ,							tgt_lang=lowercase_      ,							additional_special_tokens=lowercase_      ,							sp_model_kwargs=self.sp_model_kwargs      ,							**lowercase_      ,							)

								UpperCamelCase      =		spm.SentencePieceProcessor(**self.sp_model_kwargs						)
								self.sp_model.Load(str(lowercase_						)						)
								UpperCamelCase      =		vocab_file

								# Original fairseq vocab and spm vocab must be "aligned":
								# Vocab    |    0    |    1    |   2    |    3    |  4  |  5  |  6  |   7   |   8   |  9
								# -------- | ------- | ------- | ------ | ------- | --- | --- | --- | ----- | ----- | ----
								# fairseq  | '<s>'   | '<pad>' | '</s>' | '<unk>' | ',' | '.' | '▁' | 's'   | '▁de' | '-'
								# spm      | '<unk>' | '<s>'   | '</s>' | ','     | '.' | '▁' | 's' | '▁de' | '-'   | '▁a'

								# Mimic fairseq token-to-id alignment for the first 4 token
								UpperCamelCase      =		{"<s>": 0, "<pad>": 1, "</s>": 2, "<unk>": 3}

								# The first "real" token "," has position 4 in the original fairseq vocab and position 3 in the spm vocab
								UpperCamelCase      =		1

								UpperCamelCase      =		len(self.sp_model						)
								UpperCamelCase      =		{
								    code: self.sp_model_size + i + self.fairseq_offset for i, code in enumerate(lowercase_						)
								}
								UpperCamelCase      =		{v: k for k, v in self.lang_code_to_id.items()}
								UpperCamelCase      =		len(self.sp_model						) + len(self.lang_code_to_id						) + self.fairseq_offset

								self.fairseq_tokens_to_ids.update(self.lang_code_to_id						)
								UpperCamelCase      =		{v: k for k, v in self.fairseq_tokens_to_ids.items()}
								UpperCamelCase      =		list(self.lang_code_to_id.keys()						)

								if additional_special_tokens is not None:
										# Only add those special tokens if they are not already there.
										self._additional_special_tokens.extend(
										    [t for t in additional_special_tokens if t not in self._additional_special_tokens]						)

								UpperCamelCase      =		src_lang if src_lang is not None else "en_XX"
								UpperCamelCase      =		self.lang_code_to_id[self._src_lang]
								UpperCamelCase      =		tgt_lang
								self.set_src_lang_special_tokens(self._src_lang						)


						def __getstate__(self						)       ->      List[Any]:
								UpperCamelCase      =		self.__dict__.copy()
								UpperCamelCase      =		None
								UpperCamelCase      =		self.sp_model.serialized_model_proto()
								return state


						def __setstate__(self      ,							__a						)       ->      Tuple:
								UpperCamelCase      =		d

								# for backward compatibility
								if not hasattr(self      ,							"sp_model_kwargs"						):
										UpperCamelCase      =		{}

								UpperCamelCase      =		spm.SentencePieceProcessor(**self.sp_model_kwargs						)
								self.sp_model.LoadFromSerializedProto(self.sp_model_proto						)


						@property
						def 			snake_case_      (self						)       ->      Tuple:
								return len(self.sp_model						) + len(self.lang_code_to_id						) + self.fairseq_offset + 1  # Plus 1 for the mask token


						@property
						def 			snake_case_      (self						)       ->      Optional[Any]:
								return self._src_lang


						@src_lang.setter
						def 			snake_case_      (self      ,							__a						)       ->      str:
								UpperCamelCase      =		new_src_lang
								self.set_src_lang_special_tokens(self._src_lang						)


						def 			snake_case_      (self      ,							__a      ,							__a = None      ,							__a = False						)       ->      Any:

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

								UpperCamelCase      =		[1] * len(self.prefix_tokens						)
								UpperCamelCase      =		[1] * len(self.suffix_tokens						)
								if token_ids_a is None:
										return prefix_ones + ([0] * len(lowercase_						)) + suffix_ones
								return prefix_ones + ([0] * len(lowercase_						)) + ([0] * len(lowercase_						)) + suffix_ones


						def 			snake_case_      (self      ,							__a      ,							__a = None						)       ->      List[str]:
								if token_ids_a is None:
										return self.prefix_tokens + token_ids_a + self.suffix_tokens
								# We don't expect to process pairs, but leave the pair logic for API consistency
								return self.prefix_tokens + token_ids_a + token_ids_a + self.suffix_tokens


						def 			snake_case_      (self      ,							__a      ,							__a = None						)       ->      Union[str, Any]:
								UpperCamelCase      =		[self.sep_token_id]
								UpperCamelCase      =		[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 			snake_case_      (self      ,							__a      ,							__a      ,							__a      ,							__a      ,							**__a						)       ->      Dict:
								if src_lang is None or tgt_lang is None:
										raise ValueError("Translation requires a `src_lang` and a `tgt_lang` for this model"						)
								UpperCamelCase      =		src_lang
								UpperCamelCase      =		self(lowercase_      ,							add_special_tokens=lowercase_      ,							return_tensors=lowercase_      ,							**lowercase_						)
								UpperCamelCase      =		self.convert_tokens_to_ids(lowercase_						)
								UpperCamelCase      =		tgt_lang_id
								return inputs


						def 			snake_case_      (self						)       ->      Union[str, Any]:
								UpperCamelCase      =		{self.convert_ids_to_tokens(lowercase_						): i for i in range(self.vocab_size						)}
								vocab.update(self.added_tokens_encoder						)
								return vocab


						def 			snake_case_      (self      ,							__a						)       ->      List[str]:
								return self.sp_model.encode(lowercase_      ,							out_type=lowercase_						)


						def 			snake_case_      (self      ,							__a						)       ->      Tuple:
								if token in self.fairseq_tokens_to_ids:
										return self.fairseq_tokens_to_ids[token]
								UpperCamelCase      =		self.sp_model.PieceToId(lowercase_						)

								# Need to return unknown token if the SP model returned 0
								return spm_id + self.fairseq_offset if spm_id else self.unk_token_id


						def 			snake_case_      (self      ,							__a						)       ->      str:
								if index in self.fairseq_ids_to_tokens:
										return self.fairseq_ids_to_tokens[index]
								return self.sp_model.IdToPiece(index - self.fairseq_offset						)


						def 			snake_case_      (self      ,							__a						)       ->      Tuple:
								UpperCamelCase      =		"".join(lowercase_						).replace(lowercase_      ,							" "						).strip()
								return out_string


						def 			snake_case_      (self      ,							__a      ,							__a = None						)       ->      int:
								if not os.path.isdir(lowercase_						):
										logger.error(F"Vocabulary path ({save_directory}) should be a directory"						)
										return
								UpperCamelCase      =		os.path.join(
								    lowercase_      ,							(filename_prefix + "-" if filename_prefix else "") + VOCAB_FILES_NAMES["vocab_file"]						)

								if os.path.abspath(self.vocab_file						) != os.path.abspath(lowercase_						) and os.path.isfile(self.vocab_file						):
										copyfile(self.vocab_file      ,							lowercase_						)
								elif not os.path.isfile(self.vocab_file						):
										with open(lowercase_      ,							"wb"						) as fi:
												UpperCamelCase      =		self.sp_model.serialized_model_proto()
												fi.write(lowercase_						)

								return (out_vocab_file,)


						def 			snake_case_      (self      ,							__a      ,							__a = "en_XX"      ,							__a = None      ,							__a = "ro_RO"      ,							**__a      ,							)       ->      List[str]:
								UpperCamelCase      =		src_lang
								UpperCamelCase      =		tgt_lang
								return super().prepare_seqaseq_batch(lowercase_      ,							lowercase_      ,							**lowercase_						)


						def 			snake_case_      (self						)       ->      Tuple:
								return self.set_src_lang_special_tokens(self.src_lang						)


						def 			snake_case_      (self						)       ->      List[Any]:
								return self.set_tgt_lang_special_tokens(self.tgt_lang						)


						def 			snake_case_      (self      ,							__a						)       ->      Dict:
								UpperCamelCase      =		self.lang_code_to_id[src_lang]
								UpperCamelCase      =		[]
								UpperCamelCase      =		[self.eos_token_id, self.cur_lang_code]




						def 			snake_case_      (self      ,							__a						)       ->      Optional[int]:
								UpperCamelCase      =		self.lang_code_to_id[lang]
								UpperCamelCase      =		[]
								UpperCamelCase      =		[self.eos_token_id, self.cur_lang_code]








"""simple docstring"""





def 	__a     (		__lowerCamelCase = 3,		__lowerCamelCase = 7,		__lowerCamelCase = 100_0000  ):
   UpperCAmelCase_					:					Dict			     =    0
   UpperCAmelCase_					:					List[Any]			     =    1

   for current_denominator in range(1,		limit + 1  ):
      UpperCAmelCase_					:					Dict			     =    current_denominator * numerator // denominator
      if current_denominator % denominator == 0:
         current_numerator -= 1
      if current_numerator * max_denominator > current_denominator * max_numerator:
         UpperCAmelCase_					:					List[Any]			     =    current_numerator
         UpperCAmelCase_					:					Optional[int]			     =    current_denominator
   return max_numerator


if __name__ == "__main__":
    print(solution(numerator=3, denominator=7, limit=1_000_000))


