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

#ifdef LOCAL
#define eprintf(...) fprintf(stderr, __VA_ARGS__)
#else
#define eprintf(...) 42
#endif

#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define repi(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define all(x) (x).begin(),(x).end()
#define foreach(u,v) for(auto (u) : (v))
#define pb push_back
#define mp make_pair
#define mt make_tuple

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<ll, ll> pll;
typedef vector<ll> vl;

const int inf = 1e9;
const ll linf = 1LL<<60;
const ll mod = 1e9 + 7;
const double eps = 1e-9;

/*
*/

int main()
{
  int n;
  string s;
  cin >> n >> s;

  stack<int> st;
  vi ans(n);
  rep(i, n){
    if(s[i] == '('){
      st.push(i);
    }else{
      int v = st.top();
      st.pop();

      ans[v] = i;
      ans[i] = v;
    }
  }

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

  return 0;
}