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

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	int t;
	cin >> t;
	while(t--) {
		int n;
		cin >> n;
		
		int tmp = (n * (n + 1))/2;
		
		if(tmp & 1) {
			cout << -1 << "\n";
			continue;
		}
		
		vector<bool> v(n + 1, false);
		
		int sum = tmp/2;
		int i = n;
		while(sum - i > 0) {
			v[i] = true;
			sum -= i;
			--i;
		}
		v[sum] = true;
		
		for(int i = 1; i <= n; ++i) {
			if(!v[i]) {
				cout << 1;
			}
			else {
				cout << 0;
			}
		}
		cout << "\n";
	}
	return 0;
}