use proconio::input_interactive;

fn main() {
    input_interactive! {
        x:usize,
        y:usize,
    }

    for n in 3.. {
        for v in 0..1 << n {
            let mut ops = [[0; 2]; 2];
            let mut possible = [[false; 2]; 2];
            for p in 0..1 << 4 {
                for i in 0..2 {
                    for j in 0..2 {
                        if p & (1 << (2 * i + j)) != 0 {
                            ops[i][j] = 1;
                        } else {
                            ops[i][j] = 0;
                        }
                    }
                }

                let t = calc(&ops, v, n);
                possible[t][ops[x][y]] = true;
            }

            if (possible[0][0] ^ possible[0][1]) && (possible[1][0] ^ possible[1][1]) {
                solve(&possible, n, v);
                return;
            }
        }
    }
}

fn solve(possible: &[[bool; 2]; 2], n: usize, v: usize) {
    println!("{}", n);
    for i in 0..n {
        print!("{} ", (v >> i) & 1);
    }
    println!();

    input_interactive! {
        t:usize,
    }

    if possible[t][0] {
        println!("0");
    } else {
        println!("1");
    }
}

fn calc(ops: &[[usize; 2]; 2], v: usize, n: usize) -> usize {
    let mut res = ops[v & 1][(v >> 1) & 1];
    for i in 2..n {
        res = ops[res][(v >> i) & 1];
    }

    res
}