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>
typedef int pInt[200000];
using namespace std;
int MOD = 1e9 + 7;
int const N = 1e6 + 5;
int main() {
  ios_base::sync_with_stdio(0), cin.tie(0);
  string s;
  cin >> s;
  map<char, long long> mp;
  for (auto a : s) mp[a]++;
  long long ans = 0;
  for (auto a : mp) ans += a.second * a.second;
  cout << ans;
}