T = int(input())

D = dict()
for _ in range(T):
    N = int(input())
    if N in D:
        print(D[N])
        continue
    SUM = (1+N)*N//2
    if SUM%2 == 1:
        D[N] = -1
        print(D[N])
        continue
    dp = [[False]*(SUM//2+1) for _ in range(N+1)]
    dp[0][0] = True
    for i in range(N):
        for j in range(SUM//2+1):
            if dp[i][j]:
                dp[i+1][j] = dp[i][j]
                if j+i+1 <= SUM//2:
                    dp[i+1][j+i+1] = dp[i][j]
    if not dp[-1][-1]:
        D[N] = -1
        print(D[N])
        continue
    ans = []
    idx = SUM//2
    for i in reversed(range(N)):
        if dp[i][idx]:
            ans.append("0")
        else:
            ans.append("1")
            idx -= i+1
    D[N] = "".join(ans[::-1])
    print(D[N])