#include <bits/stdc++.h>
#define rep(i,n) for(int i=0;i<(int)(n);i++)
using namespace std;
using ll = long long ;
using P = pair<int,int> ;
using pll = pair<long long,long long>;
constexpr int INF = 1e9;
constexpr long long LINF = 1e17;
constexpr int MOD = 1000000007;

int main(){
    int n;
    string s;
    cin >> n >> s;
    stack<int> stk;
    vector<int> ans(n);
    rep(i,n){
        if(s[i] =='('){
            stk.push(i);
        }else{
            int idx = stk.top();
            stk.pop();
            ans[idx] = i;
            ans[i] = idx;
        }
    }
    rep(i,n) cout << ans[i]+1 << '\n';
}