import sys, time, random
from collections import deque, Counter, defaultdict
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
inf = 2 ** 63 - 1
mod = 998244353

for _ in range(ii()):
    n = ii()
    if n * (n + 1) // 2 % 2:
        print(-1)
    else:
        half = n * (n + 1) // 4
        ans = ['0'] * n
        for i in range(n, 0, -1):
            if half >= i:
                half -= i
                ans[i - 1] = '1'
        print(''.join(ans))