//https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 より 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, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } fn run() { input! { k: usize, x: usize, } if x == 0 { println!("Yes\n1\n{}", k ^ 1); return; } if k != 0 { if x.count_ones() > 1 { println!("No"); return; } let y = x.trailing_zeros(); let mut ans = vec![k]; let mut base = vec![k]; let mut cnt = 0; 'outer: for v in 0..(1 << 20) { if v == k { continue; } for _ in 0..2 { if cnt == y { break 'outer; } ans.push(v); let mut v = v; for b in base.iter() { v = std::cmp::min(v, v ^ *b); } if v == 0 { cnt += 1; } else { base.push(v); } } } println!("Yes\n{}", ans.len()); for (i, a) in ans.iter().enumerate() { if i > 0 { print!(" "); } print!("{}", *a); } println!(); } else { if (x + 1).count_ones() > 1 { println!("No"); return; } let y = (x + 1).trailing_zeros() as usize; let mut ans = vec![]; let mut base = vec![]; let mut cnt = 0; 'outer2: for v in 1..(1 << 20) { for _ in 0..2 { if cnt == y { break 'outer2; } ans.push(v); let mut v = v; for b in base.iter() { v = std::cmp::min(v, v ^ *b); } if v == 0 { cnt += 1; } else { base.push(v); } } } println!("Yes\n{}", ans.len()); for (i, a) in ans.iter().enumerate() { if i > 0 { print!(" "); } print!("{}", *a); } println!(); } } fn main() { run(); }