t = int(input())
for _ in range(t):
    n = int(input())
    if n % 4 == 0:
        print('0110' * (n // 4))
    elif n % 4 == 3:
        ans = ['0', '1', '1', '0'] * ((n + 1) // 4)
        ans.pop()
        if ans[(n + 1) // 2 - 1] == '0':
            ans[-3] = '1'
            ans[-2] = '0'
            ans[-1] = '0'
            ans[(n + 1) // 2 - 1] = '1'
        else:
            ans[(n + 1) // 2 - 1] = '0'
        # a, b = 0, 0
        # for i in range(n):
        #     if ans[i] == '0':
        #         a += i + 1
        #     else:
        #         b += i + 1
        # print(a, b)
        print(*ans, sep='')
    else:
        print(-1)