






'''simple docstring'''




from itertools import permutations

def       __lowercase		(    __lowercase = 5 ) ->		int:

      '''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
      _A      =			list(range(gon_side + 1     ,						0     ,						-1 ) )
      _A      =			list(range(gon_side + 2     ,						gon_side * 2 + 1 ) )

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

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

def       __lowercase		(    __lowercase     ,						__lowercase ) ->		list[int]:

      '''simple docstring'''


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

      _A      =			1 if gon_side < 5 else 2

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

      return result

def       __lowercase		(    __lowercase ) ->		bool:

      '''simple docstring'''


      if len(__lowercase ) % 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

      _A      =			sum(numbers[:3] )

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


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













'''simple docstring'''




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

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


if is_sentencepiece_available():
    from .tokenization_reformer import ReformerTokenizer
else:
    lowerCamelCase_							      =      None


lowerCamelCase_							      =      logging.get_logger(__name__)


lowerCamelCase_							      =      '''▁'''

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

lowerCamelCase_							      =      {
    '''vocab_file''': {
        '''google/reformer-crime-and-punishment''': (
            '''https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/spiece.model'''
        )
    },
    '''tokenizer_file''': {
        '''google/reformer-crime-and-punishment''': (
            '''https://huggingface.co/google/reformer-crime-and-punishment/resolve/main/tokenizer.json'''
        )
    },
}

lowerCamelCase_							      =      {
    '''google/reformer-crime-and-punishment''': 52_42_88,
}

class      _UpperCAmelCase    (  snake_case_		):




   """simple docstring"""

   snake_case					       =		VOCAB_FILES_NAMES
   snake_case					       =		PRETRAINED_VOCAB_FILES_MAP
   snake_case					       =		PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
   snake_case					       =		['''input_ids''', '''attention_mask''']
   snake_case					       =		ReformerTokenizer

   def __init__(	self				:			List[str]   ,   __UpperCAmelCase				:			List[str]=None   ,   __UpperCAmelCase				:			Any=None   ,   __UpperCAmelCase				:			List[Any]="</s>"   ,   __UpperCAmelCase				:			Optional[Any]="<unk>"   ,   __UpperCAmelCase				:			List[Any]=[]   ,   **__UpperCAmelCase				:			int   ,   ):





         '''simple docstring'''





         super().__init__(
             __UpperCAmelCase   ,   tokenizer_file=__UpperCAmelCase   ,   eos_token=__UpperCAmelCase   ,   unk_token=__UpperCAmelCase   ,   additional_special_tokens=__UpperCAmelCase   ,   **__UpperCAmelCase   ,   )

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

   def 		lowerCAmelCase				(	self				:			Any   ,   __UpperCAmelCase				:			str   ,   __UpperCAmelCase				:			Optional[str] = None	):





         '''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(__UpperCAmelCase	):
               logger.error(f'''Vocabulary path ({save_directory}) should be a directory'''	)
               return
         _A      =			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,)





