import java.io.*;
import java.util.*;
import java.util.function.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int t = sc.nextInt();
        String result = IntStream.range(0, t).mapToObj(a -> {
            int n = sc.nextInt();
            if (n % 4 == 1 || n % 4 == 2) {
                return "-1";
            }
            char[] output = new char[n];
            Arrays.fill(output, '0');
            int target = n * (n + 1) / 4;
            for (int i = n; i >= 1; i--) {
                if (target >= i) {
                    output[i - 1] = '1';
                    target -= i;
                }
            }
            return new String(output);
        }).collect(Collectors.joining("\n"));
        System.out.println(result);
    }
}
class Scanner {
    BufferedReader br;
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() {
        try {
            br = new BufferedReader(new InputStreamReader(System.in));
        } catch (Exception e) {
            
        }
    }
    
    public int nextInt() {
        return Integer.parseInt(next());
    }
    
    public long nextLong() {
        return Long.parseLong(next());
    }
    
    public double nextDouble() {
        return Double.parseDouble(next());
    }
    
    public String next() {
        try {
            while (!st.hasMoreTokens()) {
                st = new StringTokenizer(br.readLine());
            }
        } catch (Exception e) {
            e.printStackTrace();
        } finally {
            return st.nextToken();
        }
    }
    
}