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

array<int, 3> convert(string a, int i){
    int k = 0, v = 0;
    for(auto x : a){
        if(x == '('){
            k++;
        }
        else{
            if(k > 0) k--;
            else v++;
        } 
    }
    return {-k, v, i};
}

int main() {
    int n;
    cin >> n;
    vector<array<int, 3>> a(n); //parositatlan (, parositatlan )
    for(int i = 0; i < n; i++){
        string s;
        cin >> s;
        a[i] = convert(s, i);
    }
    sort(a.begin(), a.end());
    int szaml = 0;
    vector<int> ans;
    for(auto [k, v, i] : a){
        szaml -= v;
        if(szaml < 0){
            cout << -1;
            return 0;
        }
        szaml -= k;
    }
    if(szaml != 0) cout << -1;
    else for(int i = 0; i < n; i++) cout << a[i][2] + 1 << " ";
}