#include "bits/stdc++.h"

using namespace std;

void impossible(){
    cout<<"impossible\n";
    exit(0);
}

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int n; cin>>n;
    vector<string> v(n);
    vector<int> mini(n);
    vector<int> ids(n);
    iota(ids.begin(), ids.end(), 0);
    for(int i =0; i<n; i++){
        mini[i] = 1e8;
        int cur = 0;
        cin>>v[i];
        for(auto c : v[i]){
            if(c == ')'){
                cur--;
                mini[i] = min(mini[i], cur);
            }
            else cur++;
        }
        mini[i] = min(mini[i], cur);
    }
    sort(ids.begin(), ids.end(), [&](int a, int b){ return mini[a] > mini[b];});
    string t = "";
    for(int i : ids) t += v[i];
    //cerr<<t<<endl;
    bool ok = true;
    int cur = 0;
    for(auto c : t){
        if(c == ')') cur--;
        else cur++;
        if(cur < 0){
            impossible();
        }
    }
    if(cur != 0){
        impossible();
    }
    for(int i : ids) cout<<i+1<<"\n";
    
    return 0;
}