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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
 
int c, p, l, lp;
long long r;

void write(long long n) {
  if(n) {
    write(n / 10);
    putchar_unlocked('0' + n % 10);
  }
}
        
int main() {
  for(; (c = getchar_unlocked()) != EOF && c > ' '; r += ++l) {
    if(c != p) { 
      if(c == '<')
        r -= l < lp ? l : lp;
      p = c, lp = l, l = 0;
    }
  }
  if(p == '>')
    r -= l < lp ? l : lp;
  write(r);
  putchar_unlocked('\n');
  return 0;
}