#include "bits/stdc++.h"
using namespace std;
#define ll long long int
#define rep(i,n) for( int i = 0; i < n; i++ )
#define rrep(i,n) for( int i = n; i >= 0; i-- )
#define REP(i,s,t) for( int i = s; i <= t; i++ )
#define RREP(i,s,t) for( int i = s; i >= t; i-- )
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define INF 2000000000
#define mod 1000000007
#define INF2 1000000000000000000

int N;
string S;

int main(void)
{
    cin.tie(0);
    ios::sync_with_stdio(false);
	cin >> N;
	cin >> S;
	int depth = 0;
	int ans[N];
	stack<int> st;
	rep(i, S.length()) {
		if (S[i] == '(') {
			st.push(i);
		}
		else {
			ans[st.top()] = i;
			ans[i] = st.top();
			st.pop();
		}

	}
	rep(i, S.length()) {
		cout << ans[i] + 1 << endl;
	}


    return 0;
}