#include <bits/stdc++.h>
using namespace std;
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    vector<string> s(n);
    for(int i = 0; i < n; i++) cin >> s[i];
    vector<pair<int, int> > v1, v2;
    vector<int> t(n);
    int sum = 0;
    for(int i = 0; i < n; i++)
    {
        int act = 0, mini = 0;
        for(auto x : s[i])
        {
            if(x == '(') act++;
            else act--;
            mini = min(mini, act);
        }
        mini *= -1;
        if(act > 0)
        {
            v1.push_back({mini, i});
            t[i] = act;
        }
        else
        {
            v2.push_back({mini + act, i});
            t[i] = -act;
        }
        sum += act;
    }
    if(sum != 0)
    {
        cout << "-1";
        return 0;
    }
    int cur = 0;
    vector<int> ans1, ans2;
    for(auto x : v1)
    {
        if(x.first > cur)
        {
            cout << "-1";
            return 0;
        }
        int y = x.second;
        ans1.push_back(y);
        cur += t[y];
    }
    cur = 0;
    for(auto x : v2)
    {
        if(x.first > cur)
        {
            cout << "-1";
            return 0;
        }
        int y = x.second;
        ans2.push_back(y);
        cur += t[y];
    }
    for(auto x : ans1) cout << x << " ";
    reverse(ans2.begin(), ans2.end());
    for(auto x : ans2) cout << x << " ";
}