#include <bits/stdc++.h>
#ifdef LOCAL
#include "./debug.cpp"
#else
#define debug(...)
#define print_line
#endif
using namespace std;
using ll = long long;

int main() {
	int T;
	cin >> T;
	while (T--) {
		int N;
		cin >> N;
		int M = N * (N + 1) / 2;
		if (M % 2 == 1) {
			cout << -1 << endl;
		} else {
			M /= 2;
			int now = 0, sum = 0;
			vector<char> ans(N, '0');
			while (sum + now + 1 <= M) {
				now++;
				sum += now;
				ans[now - 1] = '1';
			}
			if (sum < M) {
				int d = M - sum;
				if (N - d <= now) {
					ans[N - d - 1] = '0';
					ans[N - 1] = '1';
				} else {
					ans[now - 1] = '0';
					ans[now + d - 1] = '1';
				}
			}
			for (int i = 0; i < N; i++) cout << ans[i];
			cout << endl;
		}
	}
}