#include "bits/stdc++.h"
using namespace std;

#define DEBUG(x) cout<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cout<<#v<<":";for(int i=0;i<v.size();i++) cout<<" "<<v[i]; cout<<endl

typedef long long ll;
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
const int inf = 1000000001;
const ll INF = 1e18 * 4;
#define MOD 1000000007
#define mod 1000000009
#define pi 3.14159265358979323846
#define Sp(p) cout<<setprecision(15)<<fixed<<p<<endl;
int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 };
int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };


int main() {
	/*
	int n, i, j;
	cin >> n;
	string s;
	cin >> s;
	vi pre(n, -1), nx(n, -1);
	int pr = -1;
	for (i = 0; i < n; i++) {
		if (s[i] == '(') {
			pre[i] = pr;
			if (pr != -1) {
				nx[pr] = i;
			}
			pr = i;
		}
	}
	//DEBUG_VEC(pre);
	//DEBUG_VEC(nx);
	vi p(n, -1);
	int left = 0;
	for (i = 0; i < n; i++) {
		if (s[i] == '(') {
			left = i;
		}
		else {
			p[i] = left;
			p[left] = i;
			if (nx[left] != -1) {
				pre[nx[left]] = pre[left];
			}
			left = pre[left];
		}
	}
	for (i = 0; i < n; i++) {
		cout << p[i] + 1 << endl;
	}
	*/

	int n, i, j;
	cin >> n;
	string s;
	cin >> s;
	stack<int> st;
	vi p(n, -1);
	for (i = 0; i < n; i++) {
		if (s[i] == '(') {
			st.push(i);
		}
		else {
			j = st.top();
			p[j] = i;
			p[i] = j;
			st.pop();
		}
	}

	for (i = 0; i < n; i++) {
		cout << p[i] + 1 << endl;
	}
}