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 JAVA):

Solution:
/**
 * Created by IntelliJ IDEA.
 * User: shakhov
 * Date: 15.06.2011
 * Time: 15:22:46
 * To change this template use File | Settings | File Templates.
 */

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class CodeForces {

    public void solve() throws IOException {
        char[] str=nextToken().toCharArray();
        Map<Character,List<Integer>> map=new HashMap<Character,List<Integer>>();
        for(int i=0,l=str.length;i<l;i++){
            if(!map.containsKey(str[i])){
                List nl=new ArrayList<Integer>();
                map.put(str[i],nl);
            }
            map.get(str[i]).add(i);
        }
        long counter=0;
        for(List alist:map.values()){
            counter+=(long)alist.size()*(long)alist.size();
        }

        writer.print(counter);
    }


    public static void main(String[] args) {
        new CodeForces().run();
    }

    BufferedReader reader;
    StringTokenizer tokenizer;
    PrintWriter writer;

    public void run() {
        try {
            reader = new BufferedReader(new InputStreamReader(System.in));
            //reader = new BufferedReader(new FileReader("LifeWithoutZeros.in"));
            tokenizer = null;
            writer = new PrintWriter(System.out);
            //writer = new PrintWriter(new BufferedWriter(new FileWriter("LifeWithoutZeros.out")));
            //long t=new Date().getTime();
            solve();
            //writer.println(t-new Date().getTime());
            reader.close();
            writer.close();
        } catch (Exception e) {
            e.printStackTrace();
            System.exit(1);
        }
    }

    int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }

    String nextToken() throws IOException {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(reader.readLine());
        }
        return tokenizer.nextToken();
    }
}