






'''simple docstring'''







from itertools import permutations


def 			__UpperCamelCase				(			lowercase_					:     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
       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 			__UpperCamelCase				(			lowercase_					:     int      ,					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 			__UpperCamelCase				(			lowercase_					:     list[int]      ):
       """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 re


def 			__UpperCamelCase				(			lowercase_					:     int      ):
       """simple docstring"""




       def docstring_decorator(lowercase_					:     int      ):
              a_	    = fn.__doc__
              a_	    = func_doc.split('\n'      )
              a_	    = 0
              while i < len(lowercase_      ) and re.search(R'^\s*Examples?:\s*$'      ,					lines[i]      ) is None:
                     i += 1
              if i < len(lowercase_      ):
                     a_	    = example_docstring
                     a_	    = '\n'.join(lowercase_      )
              else:
                     raise ValueError(
                         F'The function {fn} should have an empty \'Examples:\' in its docstring as placeholder, '
                         F'current docstring is:\n{func_doc}'      )
              a_	    = func_doc
              return fn

       return docstring_decorator




