def main(): s = input() a = 0 for i in range(1,len(s) // 2 + 1): a += 2 * i * (len(s) - i + 1) if len(s) % 2 != 0: a += (len(s) // 2 + 1) * (len(s) // 2 + 1) b = len(s) * (len(s) + 1) / 2 print(a / b) main()