// https://yukicoder.me/problems/no/1246
//?
// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------

fn run() {
    input! {
        n: usize,
        x: u64,
        y: u64,
        a: [u64; n],
    }
    type Map = std::collections::BTreeMap<u64, (u64, u8)>;
    let mut dp = vec![Map::new(); n + 1];
    dp[0].insert(x, (0, 0));
    for (i, a) in a.iter().enumerate() {
        let mut map = Map::new();
        for (&t, _) in dp[i].iter() {
            map.insert(t & a, (t, 1));
            map.insert(t | a, (t, 2));
            map.insert(t, (t, 3));
        }
        dp[i + 1] = map;
    }
    if dp[n].get(&y).is_some() {
        let mut ans = vec![];
        let mut pos = n;
        let mut y = y;
        while pos > 0 {
            let &(pre, op) = dp[pos].get(&y).unwrap();
            ans.push(op);
            y = pre;
            pos -= 1;
        }
        ans.reverse();
        for (i, a) in ans.iter().enumerate() {
            if i > 0 {
                print!(" ");
            }
            print!("{}", *a);
        }
        println!();
    } else {
        println!("-1");
    }
}

fn main() {
    run();
}