s = input() l = len(s) C = [0] * l #1~l文字までの文字の種類の数 dic ={} dic_a = {} k = 0 for i in range(l): c = s[i] if c in dic: dic[c][0] += 1 else: dic[c] = [1, [], 1] k += 1 dic[c][1].append(i) C[i] = k w = sum(C) sum_w = w for i in range(1, l): #i番目から始める部分文字列 b = s[i - 1] #手前の文字 n = l - i char_num, char_list, counter = dic[b] if counter < char_num: n = char_list[counter] - char_list[counter - 1] - 1 dic[b][2] += 1 w = w - n - 1 sum_w += w n = l * (l + 1) / 2 print(sum_w / n)