Problem: There is a given string S consisting of N symbols. Your task is to find the number of ordered pairs of integers i and j such that

1. 1 ≤ i, j ≤ N

2. S[i] = S[j], that is the i-th symbol of string S is equal to the j-th.

Input

The single input line contains S, consisting of lowercase Latin letters and digits. It is guaranteed that string S in not empty and its length does not exceed 105.

Output

Print a single number which represents the number of pairs i and j with the needed property. Pairs (x, y) and (y, x) should be considered different, i.e. the ordered pairs count.

Examples

Input

great10


Output

7


Input

aaaaaaaaaa


Output

100

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long i, j, cnt;
int main() {
  ;
  ios::sync_with_stdio(false);
  cin.tie(0);
  ;
  string s;
  cin >> s;
  long long ans = s.size();
  sort(s.begin(), s.end());
  for (int i = 0; i < s.size() - 1; i++) {
    if (s[i] == s[i + 1])
      cnt++;
    else
      ans += cnt * (cnt + 1), cnt = 0;
  }
  ans += cnt * (cnt + 1);
  cout << ans;
}