for _ in range(int(input())): n = int(input()) sm = n * (n + 1) // 2 if sm % 2: print(-1) continue tgt = sm // 2 ans = ['0'] * n for x in range(n, 0, -1): if x <= tgt: ans[x - 1] = '1' tgt -= x assert tgt == 0 print(''.join(ans))