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.*;

public class B {
	public static void main(String[] args) {
		Scanner s = new Scanner(System.in);
		List<Character> list = new ArrayList<Character>();
		for (char c : s.next().toCharArray()) {
			list.add(c);
		}
		long r = 0;
		for (char c : new HashSet<Character>(list)) {
			long x = Collections.frequency(list, c);
			r += x * x;
		}
		System.out.println(r);
	}
}