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

struct sor{
    int mn;
    int sum;
    int idx;
    sor(int x,int y,int z){
        mn=x;
        sum=y;
        idx=z;
    }
    bool operator< (const sor &c) const {
        return mn < c.mn;
    }
};

int main(){
    int n;
    cin>>n;
    vector<sor> add, sub;
    for (int i=1;i<=n;i++){
        string s;
        cin>>s;
        int sum=0;
        int mn=1e6;
        for (char c : s){
            if (c=='(') sum++;
            else sum--;
            mn=min(mn, sum);
        }
        if (sum>=0) add.push_back(sor(mn, sum, i));
        else sub.push_back(sor(mn, sum, i));
    }
    sort(add.rbegin(), add.rend());
    vector<int> ans;
    int total=0;
    bool pos=true;

    for (auto i : add){
        if (total+i.mn<0) {
            pos=false; break;
        }

        ans.push_back(i.idx);
        total+=i.sum;
    }

    for (auto i : sub){
        if (total+i.mn<0) {
            pos=false; break;
        }

        ans.push_back(i.idx);
        total+=i.sum;
    }
    if (!pos || total!=0){
        cout<<-1;
        return 0;
    }

    for (int i : ans) cout<<i<<" ";
}