T = int(input())
for _ in range(T):
    N = int(input())
    if (N * (N + 1) // 2) & 1:
        print(-1)
        continue
    ans = [0] * N
    if N % 2 == 0:
        for i in range(N // 2):
            ans[i] = i & 1
        for i in range(N // 2, N):
            ans[i] = (i + 1) & 1
    else:
        n = 0
        nn = N * (N + 1) // 4
        for i in range(N, 0, -1):
            if n + i <= nn:
                n += i
                ans[i - 1] = 1
    print(*ans, sep='')