#include <bits/stdc++.h>
#define rep(i, a, n) for(int i = a; i < n; i++)
#define REP(i, n) rep(i, 0, n)
#define repb(i, a, b) for(int i = a; i >= b; i--)
#define all(a) a.begin(), a.end()
#define int long long
#define chmax(x, y) x = max(x, y)
#define chmin(x, y) x = min(x, y)
using namespace std;
typedef pair<int, int> P;
const int mod = 1000000007;
const int INF = 1e12;

vector<int> d[100010];

signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    string s;
    cin >> n >> s;
    int now = 0;
    vector<P> id(n);
    rep(i, 0, n){
        if(s[i] == '('){
            id[i].first = now;
            id[i].second = d[now].size();
            d[now].push_back(i);
            now++;
        }else{
            now--;
            id[i].first = now;
            id[i].second = d[now].size();
            d[now].push_back(i);
        }
    }
    rep(i, 0, n){
        if(id[i].second % 2){
            cout << d[id[i].first][id[i].second - 1] + 1 << endl;
        }else{
            cout << d[id[i].first][id[i].second + 1] + 1<< endl;
        }
    }
}