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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define rep(i,n) for(int (i)=0;(i)<(int)(n);(i)++)
#define repeq(i,n) for(int (i)=0;(i)<=(int)(n);(i)++)
#define rep1(i,x,n) for(int (i)=(x);(i)<(int)(n);(i)++)
#define rep1eq(i,x,n) for(int (i)=(x);(i)<=(int)(n);(i)++)
#define rrep(i,x) for(int i=((int)(x)-1);i>=0;i--)
#define rrep1(i,x,n) for(int i=((int)(x)-1);i>=(n);i--)
using namespace std;
using ll = long long;
using Int = long long;

const int MOD = 1000000007;
const ll INF = numeric_limits<ll>::max();
const int inf = 1e8;
//typedef pair<int,int> P;

//少数点表示
//cout << std::fixed << std::setprecision(14) <<double値

int main(){
    cin.tie( 0 ); ios::sync_with_stdio( false );

    string s;
    cin >> s;
    vector<int> a(s.size()+1,0);
    rep(i,s.size()){
        if(s[i] == '<'){
            a[i+1] = max(a[i+1],a[i] + 1); 
        } 
    }
    rrep(i,s.size()){
        if(s[i] == '>'){
           a[i] = max(a[i],a[i+1] + 1);
        }
    }
    ll cnt=0;
    rep(i,s.size()+1){
        cout << a[i] << " ";
        cnt+=a[i];
    }
    cout << cnt;

}