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.util.Scanner;


public class ChoosingSymbolPairs {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        String s = in.next();
        long sum = 0;
        long c[] = new long[1000];
        for(int i = 0 ; i<s.length() ; i++){
            c[s.charAt(i)]++;
        }
        for(int i = 0 ; i<1000 ; i++){
            sum+= (c[i]*c[i]);
        }
        System.out.println(sum);
    }

}