Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

<>>

Sample Output 1

3

a=(0,2,1,0) is a good sequence whose sum is 3.
There is no good sequence whose sum is less than 3.

Sample Input 2

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

Sample Output 2

28

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

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;
        }

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

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