#![allow(non_snake_case, unused_imports, unused_must_use)]
use std::io::{self, prelude::*, BufWriter, StdinLock, StdoutLock};
use std::str;

fn main() {
    let (stdin, stdout) = (io::stdin(), io::stdout());
    let mut scan = Scanner::new(stdin.lock());
    let mut out = io::BufWriter::new(stdout.lock());

    macro_rules! input {
        ($T: ty) => {
            scan.token::<$T>()
        };
        ($T: ty, $N: expr) => {
            (0..$N).map(|_| scan.token::<$T>()).collect::<Vec<_>>()
        };
    }

    let t = input!(usize);

    for _ in 0..t {
        solve(&mut scan, &mut out);
    }
}

fn solve(scan: &mut Scanner<StdinLock>, out: &mut BufWriter<StdoutLock>) {
    macro_rules! input {
        ($T: ty) => {
            scan.token::<$T>()
        };
        ($T: ty, $N: expr) => {
            (0..$N).map(|_| scan.token::<$T>()).collect::<Vec<_>>()
        };
    }

    let N = input!(usize);

    let mut dp = vec![vec![false; (N * (N + 1) / 2) + 1]; N + 1];

    dp[0][0] = true;

    for i in 0..N {
        let d = i + 1;

        for j in 0..=(N * (N + 1)) / 2 {
            if dp[i][j] && j + d <= (N * (N + 1)) / 2 {
                dp[i + 1][j + d] = true;
            }

            if dp[i][j] {
                dp[i + 1][j] = true;
            }
        }
    }

    let s = N * (N + 1) / 2;

    if s % 2 == 0 {
        let mut ans = vec![false; N + 1];

        let mut now = s / 2;

        for i in (1..=N).rev() {
            if now >= i && dp[i][now] && dp[i - 1][now - i] {
                now -= i;
                ans[i] = true;
            }
        }

        ans.remove(0);

        if now == 0 {
            writeln!(
                out,
                "{}",
                ans.iter()
                    .map(|&x| if x { "1" } else { "0" })
                    .collect::<Vec<_>>()
                    .join("")
            );
        } else {
            writeln!(out, "-1");
        }
    } else {
        writeln!(out, "-1");
    }
}

struct Scanner<R> {
    reader: R,
    buf_str: Vec<u8>,
    buf_iter: str::SplitWhitespace<'static>,
}
impl<R: BufRead> Scanner<R> {
    fn new(reader: R) -> Self {
        Self {
            reader,
            buf_str: vec![],
            buf_iter: "".split_whitespace(),
        }
    }
    fn token<T: str::FromStr>(&mut self) -> T {
        loop {
            if let Some(token) = self.buf_iter.next() {
                return token.parse().ok().expect("Failed parse");
            }
            self.buf_str.clear();
            self.reader
                .read_until(b'\n', &mut self.buf_str)
                .expect("Failed read");
            self.buf_iter = unsafe {
                let slice = str::from_utf8_unchecked(&self.buf_str);
                std::mem::transmute(slice.split_whitespace())
            }
        }
    }
}