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

const int N = 2e6 + 5;

int n, lf, rt;
string str[N], aux;
vector<pair<int, int>> pos, neg;
vector<int> ans;

void solve(int i){
	int tot = 0, mn = 0, l = 0, r = 0;
	for(auto x : str[i]) {
		if (x == '(') {
			++tot;
			++r;
		}
		else {
			--tot;
			if (r) {
				--r;
			}
			else {
				++l;
			}
		}
	}
	if(tot >= 0) pos.push_back({l, i});
	else neg.push_back({-r, i});
}

int main(){
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cout.tie(nullptr);
	cin >> n;
	for(int i = 1; i <= n; i++) {
		cin >> str[i]; 
		solve(i);
	}
	sort(pos.begin(), pos.end()); 
	sort(neg.begin(), neg.end());
	for (auto x : pos) {
		ans.push_back(x.second); 
		aux += str[x.second];
	}
	for (auto x : neg) {
		ans.push_back(x.second); 
		aux += str[x.second];
	}
	for (auto x : aux) {
		if (x == '(') {
			++rt;
		}
		else if (rt) {
			--rt;
		}
		else {
			++lf;
		}
	}

	if(lf || rt) {
		cout << "impossible" << '\n';
	}
	else {
		for(auto x : ans) cout << x << '\n';
	}
}