


"""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())





"""simple docstring"""
def 							_snake_case			(      __snake_case       :			str	,   __snake_case       :			str	,   __snake_case       :			int	,   __snake_case       :			int	,   __snake_case       :			int	,   __snake_case       :			int	,   ):




   """simple docstring"""







   _lowerCamelCase  :				Optional[Any]      =		list(__snake_case      )
   _lowerCamelCase  :				Optional[int]      =		list(__snake_case      )
   _lowerCamelCase  :				Union[str, Any]      =		len(__snake_case      )
   _lowerCamelCase  :				Optional[int]      =		len(__snake_case      )

   _lowerCamelCase  :				List[str]      =		[
       [0 for _ in range(len_destination_seq + 1      )] for _ in range(len_source_seq + 1      )
   ]
   _lowerCamelCase  :				List[Any]      =		[
       ["""0""" for _ in range(len_destination_seq + 1      )] for _ in range(len_source_seq + 1      )
   ]

   for i in range(1	,   len_source_seq + 1      ):
      _lowerCamelCase  :				Optional[Any]      =		i * delete_cost
      _lowerCamelCase  :				Any      =		F'D{source_seq[i - 1]:c}'

   for i in range(1	,   len_destination_seq + 1      ):
      _lowerCamelCase  :				Dict      =		i * insert_cost
      _lowerCamelCase  :				List[str]      =		F'I{destination_seq[i - 1]:c}'

   for i in range(1	,   len_source_seq + 1      ):
      for j in range(1	,   len_destination_seq + 1      ):
         if source_seq[i - 1] == destination_seq[j - 1]:
            _lowerCamelCase  :				Union[str, Any]      =		costs[i - 1][j - 1] + copy_cost
            _lowerCamelCase  :				Tuple      =		F'C{source_seq[i - 1]:c}'
         else:
            _lowerCamelCase  :				Tuple      =		costs[i - 1][j - 1] + replace_cost
            _lowerCamelCase  :				List[str]      =		F'R{source_seq[i - 1]:c}' + str(destination_seq[j - 1]      )

         if costs[i - 1][j] + delete_cost < costs[i][j]:
            _lowerCamelCase  :				Any      =		costs[i - 1][j] + delete_cost
            _lowerCamelCase  :				Any      =		F'D{source_seq[i - 1]:c}'

         if costs[i][j - 1] + insert_cost < costs[i][j]:
            _lowerCamelCase  :				Dict      =		costs[i][j - 1] + insert_cost
            _lowerCamelCase  :				Union[str, Any]      =		F'I{destination_seq[j - 1]:c}'

   return costs, ops

def 							_snake_case			(      __snake_case       :			list[list[str]]	,   __snake_case       :			int	,   __snake_case       :			int      ):




   """simple docstring"""







   if i == 0 and j == 0:
      return []
   else:
      if ops[i][j][0] == "C" or ops[i][j][0] == "R":
         _lowerCamelCase  :				List[Any]      =		assemble_transformation(__snake_case	,   i - 1	,   j - 1      )
         seq.append(ops[i][j]      )
         return seq
      elif ops[i][j][0] == "D":
         _lowerCamelCase  :				Optional[Any]      =		assemble_transformation(__snake_case	,   i - 1	,   __snake_case      )
         seq.append(ops[i][j]      )
         return seq
      else:
         _lowerCamelCase  :				str      =		assemble_transformation(__snake_case	,   __snake_case	,   j - 1      )
         seq.append(ops[i][j]      )
         return seq


if __name__ == "__main__":
 UpperCAmelCase ,     UpperCAmelCase   =	compute_transform_tables("""Python""", """Algorithms""", -1, 1, 2, 2)

 UpperCAmelCase   =	len(operations)
 UpperCAmelCase   =	len(operations[0])
 UpperCAmelCase   =	assemble_transformation(operations, m - 1, n - 1)

 UpperCAmelCase   =	list("""Python""")
 UpperCAmelCase   =	0
 UpperCAmelCase   =	0

 with open("""min_cost.txt""", """w""") as file:
  for op in sequence:
   print("""""".join(string))

   if op[0] == "C":
    file.write("""%-16s""" % """Copy %c""" % op[1])
    file.write("""\t\t\t""" + """""".join(string))
    file.write("""\r\n""")

    cost -= 1
   elif op[0] == "R":
    UpperCAmelCase   =	op[2]

    file.write("""%-16s""" % ("""Replace %c""" % op[1] + """ with """ + str(op[2])))
    file.write("""\t\t""" + """""".join(string))
    file.write("""\r\n""")

    cost += 1
   elif op[0] == "D":
    string.pop(i)

    file.write("""%-16s""" % """Delete %c""" % op[1])
    file.write("""\t\t\t""" + """""".join(string))
    file.write("""\r\n""")

    cost += 2
   else:
    string.insert(i, op[1])

    file.write("""%-16s""" % """Insert %c""" % op[1])
    file.write("""\t\t\t""" + """""".join(string))
    file.write("""\r\n""")

    cost += 2

   i += 1

  print("""""".join(string))
  print("""Cost: """, cost)

  file.write("""\r\nMinimum cost: """ + str(cost))

