#include <map>
#include <set>
#include <list>
#include <cmath>
#include <deque>
#include <queue>
#include <stack>
#include <cstdio>
#include <string>
#include <vector>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <iomanip>
#include <numeric>
#include <utility>
#include <iostream>
#include <algorithm>
#include <functional>

using namespace std;

#define INF (1 << 30)
#define INFL (1LL << 62)
#define MOD7 1000000007
#define MOD9 1000000009
#define EPS 1e-10

#define ll long long
#define ull unsigned long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pul pair<ull, ull>
#define all(a) (a).begin(), (a).end()
#define mp make_pair
#define pb push_back
#define FOR(i,a,b) for (int i=(a);i<(b);++i)
#define RFOR(i,a,b) for (int i=(b)-1;i>=(a);--i)
#define REP(i,n) for (int i=0;i<(n);++i)
#define RREP(i,n) for (int i=(n)-1;i>=0;--i)

void YES() { cout << "YES" << endl; }
void NO() { cout << "NO" << endl; }
void Yes() { cout << "Yes" << endl; }
void No() { cout << "No" << endl; }
void yes() { cout << "yes" << endl; }
void no() { cout << "no" << endl; }
void Taka() { cout << "Takahashi" << endl; }
void Aoki() { cout << "Aoki" << endl; }
void digit(int d) { cout << fixed << setprecision(d); }
void IOup() { cin.tie(0); ios::sync_with_stdio(false); }

int a[200000], n;
string s;
stack<int> st;

int main() {
	cin >> n >> s;
	for (int i = 0; i < n; ++i) {
		if (s[i] == '(') {
			st.push(i);
		}
		else {
			a[i] = st.top() + 1;
			a[st.top()] = i + 1;
			st.pop();
		}
	}

	for (int i = 0; i < n; ++i)
		cout << a[i] << endl;

	return 0;
}