S = input
R = range
P = print
def I(): return int(S())
def M(): return map(int, S().split())
def L(): return list(M())
def O(): return list(map(int, open(0).read().split()))
def yn(b): print("Yes" if b else "No")
biga = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
smaa = "abcdefghijklmnopqrstuvwxyz"

for _ in R(I()):
	n = I()
	if n*(n+1)//2%2:
		print(-1)
		continue
	k = n*(n+1)//4
	x = n
	a = []
	while k >= x:
		k -= x
		a.append(x)
		x -= 1
	if k > 0:
		a.append(k)
	ans = ['0'] * n
	for i in a:
		ans[i - 1] = '1'
	print(''.join(ans))