#include <bits/stdc++.h>
using namespace std;
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define rep(i,n) REP(i,0,n)
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it)
#define ALLOF(c) (c).begin(), (c).end()
typedef long long ll;
typedef unsigned long long ull;


int main(){
  int N;
  cin >> N;
  string S;
  cin >> S;

  vector<int> stock(100005, -1);
  vector<int> ret(N);

  int cnt = 0;
  rep(i,N){
    if(S[i]=='('){
      stock[cnt] = i;
      cnt++;
    }else{
      cnt--;
      ret[i] = stock[cnt]+1;
      ret[stock[cnt]] = i+1;
    }
  }
  rep(i,N){
    cout << ret[i] << endl;
  }
  
  return 0;
}