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:
import java.io.*;
import java.util.*;
import java.math.*;

public class Z2 implements Runnable{

    BufferedReader in;
    StringTokenizer st;
    PrintWriter out;
    
    void solve() throws IOException{
        String str = next();
        long[] a = new long[256];
        for(int i = 0; i < str.length(); i++)
            a[(byte)str.charAt(i)]++;
        long res = 0;
        for(int i = 0; i < 256; i++)
            res += a[i] * a[i];
        out.print(res);
    }
    
    public void run() {
        try {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
            eat("");
            solve();
            out.close();
            in.close();
        } catch (IOException ex) {
            throw new RuntimeException(ex);
        }
    }
    
    void eat(String s) {
        st = new StringTokenizer(s);
    }
    
    String next() throws IOException {
        while (!st.hasMoreTokens()) {
            String line = in.readLine();
            if (line == null) {
                return null;
            }
            eat(line);
        }
        return st.nextToken();
    }
    
    int nextInt() throws IOException {
        return Integer.parseInt(next());
    }
    
    long nextLong() throws IOException {
        return Long.parseLong(next());
    }
    
    double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }
    
    public static void main(String[] args) {
        Locale.setDefault(Locale.US);
        new Thread(new Z2()).start();
    }

}