#include<bits/stdc++.h>

using namespace std;
using ll = long long;
using ld = long double;
#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define reps(i,s,n) for(int i=(int)(s);i<(int)(n);i++)
const ll mod = 1e9 + 7;
const int INF = 1e9;

int main() {
	cin.sync_with_stdio(false);
	int N;
	string S;
	cin >> N >> S;
	vector<int>num(N);
	rep(i, N)num[i] = i + 1;
	int flag = 0;
	stack<int>st1,st2;
	int cnt = 0;
	rep(i, N) {
		if (S[i] == '(')cnt++;
		else cnt--;
		st1.push(num[i]);
		if (cnt == 0) {
			while (!st1.empty()) {
				cout << st1.top();
				st1.pop();
			}
		}
	}
	cout << endl;
	return 0;
}