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 ss = sc.next();
		long sum = 0;
		long count = 0;
		boolean flg = true;
		
		long st_num=0;
		
		for(int i=0;i<ss.length();i++){
			if( ss.charAt(i) == '<' ){
				if (flg){
					count++;
				}else{
					sum+=count*(count-1)/2 + Math.max(count-st_num,0);
					st_num=0;
					count=1;
				}
				flg=true;
			}else if(ss.charAt(i) == '>'){
				if(flg){
					sum+=(1+count)*count/2;
					st_num=count;
					count=1;
				}else{
					count++;
				}
				flg=false;
			}
		}
		
		if(flg){
			sum+=(1+count)*count/2;
		}else{
			sum+=count*(count-1)/2 + Math.max(count-st_num,0);
		}
		
		
		System.out.print(sum);
	}
}