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