






"""simple docstring"""







from itertools import permutations

def _a (		_snake_case = 5							):







      """simple docstring"""






      if gon_side < 3 or gon_side > 5:
            raise ValueError("""gon_side must be in the range [3, 5]"""							)

      # Since it's 16, we know 10 is on the outer ring
      # Put the big numbers at the end so that they are never the first number
      UpperCAmelCase							=       list(range(gon_side + 1      ,       0      ,       -1							)							)
      UpperCAmelCase							=       list(range(gon_side + 2      ,       gon_side * 2 + 1							)							)

      for perm in permutations(small_numbers + big_numbers							):
            UpperCAmelCase							=       generate_gon_ring(_snake_case      ,       list(_snake_case							)							)
            if is_magic_gon(_snake_case							):
                  return int("""""".join(str(_snake_case							) for n in numbers							)							)

      UpperCAmelCase							=       F'''Magic {gon_side}-gon ring is impossible'''
      raise ValueError(_snake_case							)

def _a (		_snake_case      ,       _snake_case							):







      """simple docstring"""






      UpperCAmelCase							=       [0] * (gon_side * 3)
      UpperCAmelCase							=       perm[0:3]
      perm.append(perm[1]							)

      UpperCAmelCase							=       1 if gon_side < 5 else 2

      for i in range(1      ,       len(_snake_case							) // 3 + magic_number							):
            UpperCAmelCase							=       perm[2 * i + 1]
            UpperCAmelCase							=       result[3 * i - 1]
            UpperCAmelCase							=       perm[2 * i + 2]

      return result

def _a (		_snake_case							):







      """simple docstring"""






      if len(_snake_case							) % 3 != 0:
            raise ValueError("""a gon ring should have a length that is a multiple of 3"""							)

      if min(numbers[::3]							) != numbers[0]:
            return False

      UpperCAmelCase							=       sum(numbers[:3]							)

      return all(sum(numbers[i : i + 3]							) == total for i in range(3      ,       len(_snake_case							)      ,       3							)							)


if __name__ == "__main__":
  print(solution())











"""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_xglm import XGLMTokenizer
else:
  _UpperCamelCase     			=  None


_UpperCamelCase     			=  logging.get_logger(__name__)

_UpperCamelCase     			=  {"""vocab_file""": """sentencepiece.bpe.model""", """tokenizer_file""": """tokenizer.json"""}

_UpperCamelCase     			=  {
    """vocab_file""": {
        """facebook/xglm-564M""": """https://huggingface.co/facebook/xglm-564M/resolve/main/sentencepiece.bpe.model""",
    },
    """tokenizer_file""": {
        """facebook/xglm-564M""": """https://huggingface.co/facebook/xglm-564M/resolve/main/tokenizer.json""",
    },
}

_UpperCamelCase     			=  {
    """facebook/xglm-564M""": 2048,
}







class 					lowerCamelCase__					(       snake_case ):
    SCREAMING_SNAKE_CASE		=			VOCAB_FILES_NAMES
    SCREAMING_SNAKE_CASE		=			PRETRAINED_VOCAB_FILES_MAP
    SCREAMING_SNAKE_CASE		=			PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
    SCREAMING_SNAKE_CASE		=			['''input_ids''', '''attention_mask''']
    SCREAMING_SNAKE_CASE		=			XGLMTokenizer






    def __init__( self	,A=None	,A=None	,A="<s>"	,A="</s>"	,A="</s>"	,A="<s>"	,A="<unk>"	,A="<pad>"	,**A	,):
          # Compatibility with the original tokenizer
          UpperCAmelCase							=       7
          UpperCAmelCase							=       [F'''<madeupword{i}>''' for i in range(self.num_madeup_words					)]

          UpperCAmelCase							=       kwargs.get("""additional_special_tokens"""	,[]					)
          kwargs["additional_special_tokens"] += [
              word for word in madeup_words if word not in kwargs["additional_special_tokens"]
          ]

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

          UpperCAmelCase							=       vocab_file
          UpperCAmelCase							=       False if not self.vocab_file else True






    def 				_UpperCamelCase							( self	,A	,A = None					):

          if token_ids_a is None:
                return [self.sep_token_id] + token_ids_a
          UpperCAmelCase							=       [self.sep_token_id]
          return sep + token_ids_a + sep + sep + token_ids_a






    def 				_UpperCamelCase							( self	,A	,A = None					):
          UpperCAmelCase							=       [self.sep_token_id]

          if token_ids_a is None:
                return len(sep + token_ids_a					) * [0]
          return len(sep + token_ids_a + sep + sep + token_ids_a					) * [0]






    def 				_UpperCamelCase							( self	,A	,A = None					):
          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(A					):
                logger.error(F'''Vocabulary path ({save_directory}) should be a directory.'''					)
                return
          UpperCAmelCase							=       os.path.join(
              A	,(filename_prefix + """-""" if filename_prefix else """""") + VOCAB_FILES_NAMES["""vocab_file"""]					)

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

          return (out_vocab_file,)



