#include <iostream>
#include <vector>
using namespace std;

int main()
{
    int T;
    cin >> T;

    while (T--)
    {
        int N;
        cin >> N;
        int n = 0;
        for (int i = 0; i <= N; i++)
        {
            n += i;
        }
        if (n % 2 == 0)
        {
            vector<bool> B(N, false);
            int s = n / 2;
            for (int i = N; i > 0; i--)
            {
                if (s >= i)
                {
                    s -= i;
                    B[i - 1] = true;
                }
            }
            for (int i = 0; i < N; i++)
            {
                if (B[i])
                {
                    cout << 1;
                }
                else
                {
                    cout << 0;
                }
            }
            cout << endl;
        }
        else
        {
            cout << -1 << endl;
        }
    }
}