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;
map<int, int> f;
char s[100000 + 10];
int n;
long long res;
int main() {
  cin >> (s + 1);
  n = strlen(s + 1);
  for (int i = (1), _b = (n); i <= _b; i++) {
    res += f[s[i]] * 2;
    f[s[i]]++;
    res += 1;
  }
  cout << res;
}