#define _USE_MATH_DEFINES
#define _CRT_SECURE_NO_WARNINGS
#include<stdio.h>
#include<string>
#include<iostream>
#include<iostream>
#include<cctype>
#include<cstdio>
#include<vector>
#include<stack>
#include<queue>
#include <algorithm>
#include<math.h>
#include<set>
#include<map>
#include <sstream>
#include<iomanip>
#include <ctype.h>
using namespace std;

//#include<bits/stdc++.h>

int f[2000005];
int main() {
	
	int n;
	string p;
	cin >> n >> p;
	vector<int>g;
	for (int i = 0; i < n; i++) {
		
		if (f[i])continue;
		int x = 0;
		if (p[i] == '(')g.push_back(i );
		else {
			
			f[i] = g.back()+1;
			f[g.back()] = i + 1;
			g.pop_back();
		}
	
	}
	for (int i = 0; i < n; i++)
		cout << f[i] << endl;

	return 0;
}