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;
void shoot() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
}
int main() {
  shoot();
  long long i, n, sum = 0;
  long long hash[301];
  string s;
  memset(hash, 0, sizeof(hash));
  cin >> s;
  n = s.size();
  for (i = 0; i < n; i++) {
    hash[(int)s[i]]++;
  }
  sum = n;
  for (i = 0; i <= 300; i++) {
    sum += hash[i] * (hash[i] - 1);
  }
  cout << sum;
  return 0;
}