code: 
  
  
  """simple docstring"""
  from collections import namedtuple
  
  UpperCAmelCase   =	namedtuple("""from_to""", """from_ to""")
  
  UpperCAmelCase   =	{
      """millimeter""": """mm""",
      """centimeter""": """cm""",
      """meter""": """m""",
      """kilometer""": """km""",
      """inch""": """in""",
      """inche""": """in""",  # Trailing 's' has been stripped off
      """feet""": """ft""",
      """foot""": """ft""",
      """yard""": """yd""",
      """mile""": """mi""",
  }
  
  UpperCAmelCase   =	{
      """mm""": from_to(0.001, 1000),
      """cm""": from_to(0.01, 100),
      """m""": from_to(1, 1),
      """km""": from_to(1000, 0.001),
      """in""": from_to(0.0254, 39.3701),
      """ft""": from_to(0.3048, 3.2_8084),
      """yd""": from_to(0.9144, 1.0_9361),
      """mi""": from_to(1609.34, 0.0_0062_1371),
  }
  
  def 							_snake_case			(      __snake_case       :			str	,   __snake_case       :			List[Any]	,   __snake_case       :			int      ):
  
  
  
  
     """simple docstring"""
  
  
  
  
  
  
  
     _lowerCamelCase  :				List[str]      =		from_type.lower().rstrip("""s"""      )
     _lowerCamelCase  :				Optional[Any]      =		TYPE_CONVERSION.get(lowerCamelCase__	,   lowerCamelCase__      )
     _lowerCamelCase  :				Optional[Any]      =		to_type.lower().rstrip("""s"""      )
     _lowerCamelCase  :				List[Any]      =		TYPE_CONVERSION.get(lowerCamelCase__	,   lowerCamelCase__      )
     if new_from not in METRIC_CONVERSION:
        _lowerCamelCase  :				Any      =		(
            F'Invalid \'from_type\' value: {from_type!r}.\n'
            F'Conversion abbreviations are: {", ".join(lowerCamelCase__      )}'
        )
        raise ValueError(lowerCamelCase__      )
     if new_to not in METRIC_CONVERSION:
        _lowerCamelCase  :				Union[str, Any]      =		(
            F'Invalid \'to_type\' value: {to_type!r}.\n'
            F'Conversion abbreviations are: {", ".join(lowerCamelCase__      )}'
        )
        raise ValueError(lowerCamelCase__      )
     return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to
  
  
  if __name__ == "__main__":
   import doctest
  
   doctest.testmod()
  
  
  
  
style_context: 
  
  
  """simple docstring"""
  from itertools import permutations
  
  def 							_snake_case			(      __snake_case       :			int = 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
     _lowerCamelCase  :				Dict      =		list(range(gon_side + 1	,   0	,   -1      )      )
     _lowerCamelCase  :				Optional[int]      =		list(range(gon_side + 2	,   gon_side * 2 + 1      )      )
  
     for perm in permutations(small_numbers + big_numbers      ):
        _lowerCamelCase  :				List[str]      =		generate_gon_ring(__snake_case	,   list(__snake_case      )      )
        if is_magic_gon(__snake_case      ):
           return int("""""".join(str(__snake_case      ) for n in numbers      )      )
  
     _lowerCamelCase  :				Union[str, Any]      =		F'Magic {gon_side}-gon ring is impossible'
     raise ValueError(__snake_case      )
  
  def 							_snake_case			(      __snake_case       :			int	,   __snake_case       :			list[int]      ):
  
  
  
  
     """simple docstring"""
  
  
  
  
  
  
  
     _lowerCamelCase  :				Union[str, Any]      =		[0] * (gon_side * 3)
     _lowerCamelCase  :				Dict      =		perm[0:3]
     perm.append(perm[1]      )
  
     _lowerCamelCase  :				Tuple      =		1 if gon_side < 5 else 2
  
     for i in range(1	,   len(__snake_case      ) // 3 + magic_number      ):
        _lowerCamelCase  :				Dict      =		perm[2 * i + 1]
        _lowerCamelCase  :				str      =		result[3 * i - 1]
        _lowerCamelCase  :				Dict      =		perm[2 * i + 2]
  
     return result
  
  def 							_snake_case			(      __snake_case       :			list[int]      ):
  
  
  
  
     """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
  
     _lowerCamelCase  :				str      =		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())
  
  