Given is a string S of length N-1. Each character in S is `<` or `>`.

A sequence of N non-negative integers, a_1,a_2,\cdots,a_N, is said to be good when the following condition is satisfied for all i (1 \leq i \leq N-1):

* If S_i= `<`: a_i<a_{i+1}
* If S_i= `>`: a_i>a_{i+1}



Find the minimum possible sum of the elements of a good sequence of N non-negative integers.

Constraints

* 2 \leq N \leq 5 \times 10^5
* S is a string of length N-1 consisting of `<` and `>`.

Input

Input is given from Standard Input in the following format:


S


Output

Find the minimum possible sum of the elements of a good sequence of N non-negative integers.

Examples

Input

<>>


Output

3


Input

<>>><<><<<<<>>><


Output

28
import java.util.*;

public class Main{
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);

        String s = sc.next();

        char[] c = s.toCharArray();

        int[] a = new int[c.length+1];

        long ans = 0;

        if (s.length()==1){
            System.out.println(1);
            return;
        }

//        List<Integer> list = new ArrayList<>();

        if (c[0]=='<') {
            a[1] = 1;
            for (int i=1; i<c.length; i++){
                if (c[i]=='<'){
                    a[i+1] = a[i]+1;
                }else {
                    break;
                }
            }
        }

        if (c[c.length-1]=='>'){
            a[a.length-2] = 1;
            for (int i=c.length-2; i>=0; i--){
                if (c[i]=='>'){
                    a[i] = a[i+1]+1;
                }else {
                    break;
                }
            }
        }

        for (int i=0; i<c.length; i++){
            if (c[i]=='<'){
                a[i+1] = a[i]+1;
            }
        }
        for (int i=c.length-1; i>=0; i--){
            if (c[i]=='>'){
                if (a[i]<a[i+1]+1){
                    a[i] = a[i+1]+1;
                }
            }
        }

        for (int i=0; i<a.length; i++){
            ans += a[i];
        }

        System.out.println(ans);
    }
}