T = int(input())


def calc(N):
    S = N * (N + 1) / 2
    return S


def greedy(N, S):
    num = [i for i in range(1, N + 1)]
    ans = []
    s = []
    for n in num:
        s.append(n)
        if sum(s) == S:
            for i in range(1, N + 1):
                if i in s:
                    ans.append(1)
                else:
                    ans.append(0)
            return ans
        if sum(s) > S:
            while s:
                s = s[1:]
                if sum(s) == S:
                    for i in range(1, N + 1):
                        if i in s:
                            ans.append(1)
                        else:
                            ans.append(0)
                    return ans
            return -1


for _ in range(T):
    N = int(input())
    S = calc(N)
    if S % 2 == 1:
        print(-1)
        continue
    S //= 2
    ans = greedy(N, S)
    if ans == -1:
        print(-1)
    else:
        print("".join(map(str, ans)))