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) {
        // write your code here
        Scanner sc = new Scanner(System.in);
        String[] s = sc.next().split("");
        long ans = 0;
        int[] l = new int[s.length + 1];
        int[] r = new int[s.length + 1];
        for (int i = 0; i < s.length; i++) {
            if (s[i].equals("<")) {
                l[i + 1] = l[i] + 1;
            }
        }
        for (int i = s.length - 1; i >= 0; i--) {
            if (s[i].equals(">")) {
                r[i] = r[i + 1] + 1;
            }
        }
        for (int i = 0; i <= s.length; i++) {
            ans += Math.max(l[i], r[i]);
        }
        
        System.out.println(ans);
    }
}