code: 
  
  from itertools import permutations
  def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase = 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
      lowerCAmelCase    			=      list(range(gon_side + 1,      0,      -1				)				)
      lowerCAmelCase    			=      list(range(gon_side + 2,      gon_side * 2 + 1				)				)
  
      for perm in permutations(small_numbers + big_numbers				):
          lowerCAmelCase    			=      generate_gon_ring(_UpperCAmelCase,      list(_UpperCAmelCase				)				)
          if is_magic_gon(_UpperCAmelCase				):
              return int(''.join(str(_UpperCAmelCase				) for n in numbers				)				)
  
      lowerCAmelCase    			=      f"Magic {gon_side}-gon ring is impossible"
      raise ValueError(_UpperCAmelCase				)
  def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase,      _UpperCAmelCase				)					-> list[int]:
  
  
  
      '''simple docstring'''
  
  
  
  
  
  
      lowerCAmelCase    			=      [0] * (gon_side * 3)
      lowerCAmelCase    			=      perm[0:3]
      perm.append(perm[1]				)
  
      lowerCAmelCase    			=      1 if gon_side < 5 else 2
  
      for i in range(1,      len(_UpperCAmelCase				) // 3 + magic_number				):
          lowerCAmelCase    			=      perm[2 * i + 1]
          lowerCAmelCase    			=      result[3 * i - 1]
          lowerCAmelCase    			=      perm[2 * i + 2]
  
      return result
  def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase				)					-> bool:
  
  
  
      '''simple docstring'''
  
  
  
  
  
  
      if len(_UpperCAmelCase				) % 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
  
      lowerCAmelCase    			=      sum(numbers[:3]				)
  
      return all(sum(numbers[i : i + 3]				) == total for i in range(3,      len(_UpperCAmelCase				),      3				)				)
  
  
  if __name__ == "__main__":
   print(solution())
  
  
  
  
  
  
style_context: 
  
  __A   :     List[Any]      =			'''
  # Installation de Transformers
  ! pip install transformers datasets
  # Pour installer à partir du code source au lieu de la dernière version, commentez la commande ci-dessus et décommentez la suivante.
  # ! pip install git+https://github.com/huggingface/transformers.git
  '''
  
  __A   :     Dict      =			[{'''type''': '''code''', '''content''': INSTALL_CONTENT}]
  __A   :     Tuple      =			{
      '''{processor_class}''': '''FakeProcessorClass''',
      '''{model_class}''': '''FakeModelClass''',
      '''{object_class}''': '''FakeObjectClass''',
  }
  
  
  
  
  
  