#include <bits/stdc++.h> 

using namespace std;

#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second

typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;

int main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	int n;
	cin >> n;
	vector<tuple<int, int, int>> vec(n);
	FOR(i, 0, n)
	{
		string s;
		cin >> s;
		int sum = 0, mn = 0;
		for (char c : s)
		{
			sum += c == '(' ? 1 : -1;
			mn = min(mn, sum);
		}
		vec[i] = {sum, mn, i + 1};
	}
	sort(ALL(vec), [](tuple<int, int, int> t1, tuple<int, int, int> t2)
	{
		auto [s1, m1, i1] = t1;
		auto [s2, m2, i2] = t2;
		return min(m1, s1 + m2) > min(m2, s2 + m1);
	});
	bool ok = true;
	int sum = 0;
	for (auto [s, m, i] : vec)
	{
		ok &= sum + m >= 0;
		sum += s;
	}
	ok &= sum == 0;
	if (!ok)
	{
		cout << "impossible\n";
		return 0;
	}
	for (auto [s, m, i] : vec)
	{
		cout << i << "\n";
	}
	return 0;
}