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

int main()
{
	ios_base::sync_with_stdio(false), cin.tie(0);
	int t;
	cin >> t;
	while (t--) {
		map<int, int>L, R;
		int bal = 0;
		string s;
		cin >> s;
		for (char &c : s) {
			if (c == '1') {
				R[bal]++;
				bal++;
			} else {
				L[bal]++;
				bal--;
			}
		}

		int cur = 0;
		while (L[cur] > 0 || R[cur] > 0) {
			if (L[cur] > 0 && R[cur - 1] > 0 || (!R[cur] && !L[cur + 1])) {
				L[cur]--;
				cur--;
				cout << 0;
			} else {
				R[cur]--;
				cur++;
				cout << 1;
			}
		}
		cout << "\n";
	}
	return 0;
}