#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define debug(x) cerr << "[" << __LINE__ << ' ' << #x << "]: " << (x) << endl

int main() {
    cin.tie(0)->sync_with_stdio(0);

    int n;
    cin >> n;

    vector<tuple<int, int, string, int>> a, b;
    for (int i=0; i<n; i++) {
        string s;
        cin >> s;
        int cur = 0, mn = 0, mx = 0;
        for (char c : s) {
            if (c == '(') cur++;
            else cur--;
            mn = min(mn, cur);
            mx = max(mx, cur);
        }
        if (cur >= 0) a.emplace_back(mn, cur, s, i);
        else b.emplace_back(-mx, -cur, s, i);
    }

    sort(a.begin(), a.end(), [&](auto& x, auto& y) {
        if (get<0>(x) != get<0>(y)) return get<0>(x) > get<0>(y);
        return get<1>(x) > get<1>(y);
    });
    sort(b.begin(), b.end(), [&](auto& x, auto& y) {
        if (get<0>(x) != get<0>(y)) return get<0>(x) < get<0>(y);
        return get<1>(x) < get<1>(y);
    });

    vector<int> ans;
    int cur = 0;
    bool flag = true;
    for (auto& [x, _, y, z] : a) {
        for (char c : y) {
            if (c == '(') cur++;
            else cur--;
            if (cur < 0) flag = false;
        }
        ans.push_back(z);
    }
    for (auto& [x, _, y, z] : b) {
        for (char c : y) {
            if (c == '(') cur++;
            else cur--;
            if (cur < 0) flag = false;
        }
        ans.push_back(z);
    }

    if (cur != 0 || !flag) cout << "impossible\n";
    else {
        for (int e : ans) cout << e+1 << '\n';
    }

}