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(); } } }