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

int main()
{
    vector<pair<pair<int, int>, int>> v;

    int n;
    cin >> n;
    for (int i = 1; i <= n; i++)
    {
        string s;
        cin >> s;

        int balance = 0, menor = 1;

        for (auto ch : s)
        {
            if (ch == ')')
            {
                balance--;
                if (balance < menor)
                {
                    menor = balance;
                }
            }

            else
            {
                balance++;
            }
        }

        v.push_back({{-menor, -balance}, i});
    }

    sort(v.begin(), v.end());

    //for (auto& s : v) cout << s.first.first << " " << s.first.second << " " << s.second << '\n';

    int balanco = 0;
    bool poss = true;

    for (auto& s : v)
    {
        int m, b;
        tie(m, b) = s.first;
        m = -m;
        b = -b;

        if (balanco+m < 0 or balanco+b < 0) { poss = false; break; }
        balanco+=b;
    }

    if (!poss or balanco != 0) cout << "Impossible\n";
    else
    {
        for (auto& s : v)
        {
            int c = s.second;
            cout << c << '\n';
        }
    }

    return 0;
}