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.math.BigInteger;
import java.util.*;

public class com {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		String s = sc.next().trim();
		char[] c = s.toCharArray();
		long[] a = new long[300];
		long res = 0;
		for(int i = 0; i<c.length; i++)
			a[c[i]]++;
		for(int i = 0; i<300; i++)
			res+= a[i]*a[i];
	
		System.out.println(res);
		
	}
}