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 sc = new Scanner(System.in);
		char[] arr = sc.nextLine().toCharArray();
		
		int[] freqArr = new int[26 + 10];
		long res = 0;
		
		for (int i = 0; i < arr.length; i++)
		{
			if(Character.isDigit(arr[i]))
				freqArr[arr[i] - '0' + 26]++;
			else
				freqArr[arr[i] - 'a']++;
		}
		
		for (int i = 0; i < freqArr.length; i++)
		{
			res += 1l*freqArr[i]*freqArr[i];;
		}
		System.out.println(res);
	}
}