#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define vi vector<int>
#define pii pair<int,int>
#define pll pair<ll,ll>
#define vll vector<ll>
#define FOR(i,n) for(int i=0;i<n;i++)
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define pb push_back
#define f first
#define s second

const int MOD = (int)1e9+7;

struct obj{
    string val;
    int idx;
    int sum, left,right;
    obj(int sum=0,int left=0,int right=0) : sum(sum), left(left), right(right) {} 
    bool operator< (obj lhs) const {
        if(sum<=0 == lhs.sum<=0){
            if(sum<=0){
                return tie(left,sum)<tie(lhs.left,lhs.sum);
            }
            else return tie(right,sum)<tie(lhs.right,lhs.sum);
        }
        return tie(sum)<tie(lhs.sum);
    }
};
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n;
    cin>>n;
    vector<obj> A;
    FOR(i,n){
        string in;
        cin>>in;
        int curr = 0;
        int mini = INT_MAX;
        FOR(j,sz(in)){
            if(in[j]=='(') curr++;
            else curr--;
            mini = min(mini,curr);
        }
        int sum = curr;
        int maxi = INT_MAX;
        curr = 0;
        for(int j=sz(in)-1;j>=0;j--){
            if(in[j]==')') curr++;
            else curr--;
            maxi = min(maxi,curr);
        }
        obj x(-sum,-mini,maxi);
        x.idx = i+1;
        x.val = in;
        A.pb(x);
    }
    sort(A.begin(),A.end());
    //for(auto x: A) cout<<x.val<<endl;
    bool check = true;
    int open = 0;
    int close = 0;
    for(auto x: A){
        string in = x.val;
        FOR(i,sz(in)){
            if(in[i]==')') close++;
            else open++;
            if(close>open) check = false;
        }
    }
    if(open!=close) check = false;
    if(!check) cout<<"impossible\n";
    else{
        for(auto x: A){
            cout<<x.idx<<endl;
        }
    }

    return 0;
}