fn main() {
    let t = {
        let mut line = String::new();
        std::io::stdin().read_line(&mut line).unwrap();
        line.trim().parse::<usize>().unwrap()
    };

    for _ in 0..t {
        match solve() {
            Some(ans) => println!("{}", ans),
            None => println!("-1"),
        }
    }
}

fn solve() -> Option<String> {
    let n = {
        let mut line = String::new();
        std::io::stdin().read_line(&mut line).unwrap();
        line.trim().parse::<usize>().unwrap()
    };

    let sum = n * (n + 1) / 2;

    if sum % 2 == 1 {
        return None;
    }

    let half = sum / 2;

    let mut dp = vec![vec![false; half + 1]];
    dp[0][0] = true;
    for i in 1..=n {
        let mut next_dp = dp[i - 1].clone();

        for j in i..=half {
            next_dp[j] |= dp[i - 1][j - i];
        }

        dp.push(next_dp);
    }

    if !dp[n][half] {
        return None;
    }

    let mut colors = vec!['0'; n + 1];
    let mut cur_sum = half;
    let mut cur_val = n;
    while cur_sum != 0 {
        while dp[cur_val - 1][cur_sum] {
            cur_val -= 1;
        }

        colors[cur_val] = '1';

        cur_sum -= cur_val;
        cur_val -= 1;
    }

    Some(colors[1..].iter().collect())
}