"""simple docstring"""
import os
from shutil import copyfile
from typing import List, Optional, Tuple

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


if is_sentencepiece_available():
 from .tokenization_pegasus import PegasusTokenizer
else:
 lowercase__ 	=     None


lowercase__ 	=     logging.get_logger(__name__)


lowercase__ 	=     '▁'

lowercase__ 	=     {'vocab_file': 'spiece.model', 'tokenizer_file': 'tokenizer.json'}

lowercase__ 	=     {
    'vocab_file': {'google/pegasus-xsum': 'https://huggingface.co/google/pegasus-xsum/resolve/main/spiece.model'},
    'tokenizer_file': {
        'google/pegasus-xsum': 'https://huggingface.co/google/pegasus-xsum/resolve/main/tokenizer.json'
    },
}

lowercase__ 	=     {
    'google/pegasus-xsum': 512,
}




class        __snake_case	(					__lowerCAmelCase    ):
      a__				=		VOCAB_FILES_NAMES
      a__				=		PRETRAINED_VOCAB_FILES_MAP
      a__				=		PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      a__				=		PegasusTokenizer
      a__				=		["""input_ids""", """attention_mask"""]



      def __init__(						self   ,      lowercase=None   ,      lowercase=None   ,      lowercase="<pad>"   ,      lowercase="</s>"   ,      lowercase="<unk>"   ,      lowercase="<mask_2>"   ,      lowercase="<mask_1>"   ,      lowercase=None   ,      lowercase=1_03   ,      **lowercase   ,      )     ->      List[Any]:





        '''simple docstring'''





        a__:					Optional[Any]      							=     offset

        if additional_special_tokens is not None:
          if not isinstance(lowercase   ,      lowercase):
            raise TypeError(
                f'additional_special_tokens should be of type {type(lowercase)}, but is'
                f' {type(lowercase)}')

          a__:					Union[str, Any]      							=     (
              ([mask_token_sent] + additional_special_tokens)
              if mask_token_sent not in additional_special_tokens and mask_token_sent is not None
              else additional_special_tokens
          )
          # fill additional tokens with ..., <unk_token_102> in case not all additional tokens are already taken
          additional_special_tokens_extended += [
              f'<unk_{i}>' for i in range(len(lowercase)   ,      self.offset - 1)
          ]

          if len(set(lowercase)) != len(lowercase):
            raise ValueError(
                'Please make sure that the provided additional_special_tokens do not contain an incorrectly'
                f' shifted list of <unk_x> tokens. Found {additional_special_tokens_extended}.')
          a__:					str      							=     additional_special_tokens_extended
        else:
          a__:					Tuple      							=     [mask_token_sent] if mask_token_sent is not None else []
          additional_special_tokens += [f'<unk_{i}>' for i in range(2   ,      self.offset)]

        super().__init__(
            lowercase   ,      tokenizer_file=lowercase   ,      pad_token=lowercase   ,      eos_token=lowercase   ,      unk_token=lowercase   ,      mask_token=lowercase   ,      mask_token_sent=lowercase   ,      offset=lowercase   ,      additional_special_tokens=lowercase   ,      **lowercase   ,      )
        a__:					Optional[int]      							=     vocab_file
        a__:					Optional[int]      							=     False if not self.vocab_file else True



      def   lowerCamelCase_       (						self   ,      lowercase)     ->      List[Any]:





        '''simple docstring'''





        a__:					Any      							=     set(self.all_special_ids)  # call it once instead of inside list comp
        all_special_ids.remove(self.unk_token_id)  # <unk> is only sometimes special

        if all_special_ids != set(range(len(self.additional_special_tokens) + 3)):
          raise ValueError(
              'There should be 3 special tokens: mask_token, pad_token, and eos_token +'
              f' {len(self.additional_special_tokens)} additional_special_tokens, but got {all_special_ids}')

        return [1 if x in all_special_ids else 0 for x in seq]



      def   lowerCamelCase_       (						self   ,      lowercase   ,      lowercase = None   ,      lowercase = False)     ->      List[int]:





        '''simple docstring'''





        if already_has_special_tokens:
          return self._special_token_mask(lowercase)
        elif token_ids_a is None:
          return self._special_token_mask(lowercase) + [1]
        else:
          return self._special_token_mask(token_ids_a + token_ids_a) + [1]



      def   lowerCamelCase_       (						self   ,      lowercase   ,      lowercase=None)     ->      List[int]:





        '''simple docstring'''





        if token_ids_a is None:
          return token_ids_a + [self.eos_token_id]
        # We don't expect to process pairs, but leave the pair logic for API consistency
        return token_ids_a + token_ids_a + [self.eos_token_id]



      def   lowerCamelCase_       (						self   ,      lowercase   ,      lowercase = None)     ->      Tuple[str]:





        '''simple docstring'''





        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(lowercase):
          logger.error(f'Vocabulary path ({save_directory}) should be a directory')
          return
        a__:					int      							=     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):
          copyfile(self.vocab_file   ,      lowercase)

        return (out_vocab_file,)



"""simple docstring"""
def 						__a       (     _SCREAMING_SNAKE_CASE = 1000000       )     ->int:
  a__:					Any      							=     limit + 1
  a__:					List[str]      							=     [0] * limit
  for first_term in range(1		,					_SCREAMING_SNAKE_CASE       ):
    for n in range(_SCREAMING_SNAKE_CASE		,					_SCREAMING_SNAKE_CASE		,					_SCREAMING_SNAKE_CASE       ):
      a__:					Any      							=     first_term + n / first_term
      if common_difference % 4:  # d must be divisble by 4
        continue
      else:
        common_difference /= 4
        if (
            first_term > common_difference
            and first_term < 4 * common_difference
        ):  # since x,y,z are positive integers
          frequency[n] += 1  # so z>0 and a>d ,also 4d<a

  a__:					Optional[int]      							=     sum(1 for x in frequency[1:limit] if x == 10       )

  return count


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


