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;
vector<int> v[100006];
int n, m;
int arr[100009];
int vis[100009];
int cat[100006];
int ans = 0;
int mn1[150], mn2[150], mn3[150];
long long int f[300];
int oc[150];
int main() {
  long long int ans = 0;
  string s;
  cin >> s;
  for (char c : s) {
    f[c]++;
  }
  for (int i = 0; i < 300; i++) ans += f[i] * f[i];
  cout << ans;
}