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:
//package codeforces.ru.task_50B;

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.HashMap;
import java.util.Map;
import java.util.StringTokenizer;

/**
 * Created by myduomilia on 31.07.14.
 */
public class Main {
    public static void main(String[] args) throws IOException {
        FastReadWriteConsole console = new FastReadWriteConsole();
        String str = console.readString();
        Map<Character, Long> map = new HashMap<>();
        long ans = 0;
        for(int i = 0; i < str.length(); i++){
            Character ch = str.charAt(i);
            if(!map.containsKey(ch)){
                map.put(ch, 1L);
            }else{
                long value = map.get(ch) + 1;
                map.put(ch, value);
            }
        }
        for(Map.Entry<Character, Long> entry : map.entrySet()){
            ans += entry.getValue() * entry.getValue();
        }
        console.write(ans);
        console.close();
    }
}
class FastReadWriteConsole {

    BufferedReader in;
    StringTokenizer tok;
    PrintWriter out;

    public FastReadWriteConsole() {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
    }

    private String readToken() throws IOException {
        while (tok == null || !tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine());
        }
        return tok.nextToken();
    }

    public int readInt() throws IOException {
        return Integer.parseInt(readToken());
    }

    public String readString() throws IOException {
        return readToken();
    }

    public void write(Object obj) {
        out.print(obj.toString());
    }

    public void close() throws IOException {
        in.close();
        out.close();
    }
}