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
#include <bits/stdc++.h>
using namespace std;

int main(){
  string s; cin >> s;
  int n = s.size();
  vector<int> a(n+1,0);
  for(int i=0; i<n; i++) {
    if(s[i]=='<') a[i+1]=a[i]+1;
  }
  for(int i=n-1; i>=0; i--) {
    if(s[i]=='>') a[i]=max(a[i],a[i+1]+1);
  }
  cout << accumulate(a.begin(),a.end(),0LL) << endl;  
  return 0;
}
