#include <bits/stdc++.h>

#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz:" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = (ll)1e9 + 7LL;

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 64;


int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N;
    cin >> N;
    string s;
    cin >> s;
    stack<int> st;
    vector<int> num(N, -1);
    for (int i = 0; i < N; i++) {
        if (s[i] == '(') {
            st.push(i);
        } else {
            const int p = st.top();
            st.pop();
            num[p] = i;
            num[i] = p;
        }
    }
    for (int i = 0; i < N; i++) {
        cout << num[i] + 1 << endl;
    }
    return 0;
}