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;
int main() {
  map<char, int> mp;
  map<char, int>::iterator it;
  long long n;
  long long res = 0;
  string s;
  cin >> s;
  for (int i = 0; i < s.size(); i++) {
    mp[s[i]]++;
  }
  for (it = mp.begin(); it != mp.end(); it++) {
    n = it->second;
    res += (n * (n - 1) + n);
  }
  cout << res << endl;
  return 0;
}