using System;

public class Hello
{
    static void Main()
    {
        var T = int.Parse(Console.ReadLine().Trim());
        while (T-- > 0)
        {
            var n = int.Parse(Console.ReadLine().Trim());
            getAns(n);
        }
    }
    static void getAns(int n)
    {
        if (n <= 2) { Console.WriteLine(-1); return; }
        var ans = new int[n];
        var s = 0;
        var sum = n * (n + 1) / 2;
        if (sum % 2 == 1) { Console.WriteLine(-1); return; }
        var wsum = sum / 2;
        for (int i = n; i >= 1; i--)
        {
            if (s + i > wsum) { ans[wsum - s - 1] = 1; break; }
            else if (s + i == wsum) { ans[i - 1] = 1; break; }
            else { s += i; ans[i - 1] = 1; }
        }
        Console.WriteLine(string.Join("", ans));
    }
}