fn main() { input! { n: usize, k: usize, } if k >= n.next_power_of_two() { println!("No"); return; } println!("Yes"); let mut p = vec![]; let mut q = vec![]; let mut extend = |mut a: Vec| { p.extend(a.iter().cloned()); let mut tmp = vec![]; while a.len() > 0 { let k = a.len().next_power_of_two(); if k == a.len() { q.extend(a.iter().rev().cloned()); break; } else { let r = a.len() - k / 2; tmp.extend(a.iter().rev().take(2 * r).rev().cloned()); let len = a.len() - 2 * r; a.truncate(len); } } q.extend(tmp.into_iter().rev()); }; let mut rem = (0..n).collect::>(); for i in 0..20 { if k >> i & 1 == 1 { let mut a = vec![]; rem.retain(|r| { if *r >> i & 1 == 1 { a.push(*r); false } else { true } }); extend(a); } } extend(rem); use util::*; println!("{}", p.iter().join(" ")); println!("{}", q.iter().join(" ")); assert_eq!(p.iter().zip(q.iter()).fold(0, |s, a| s | (a.0 & a.1)), k); } /* 最上位bitを立てないといけない時 0を作る手続きがあれば良さげ */ // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] 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_export] 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_export] 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") }; } // ---------- end input macro ---------- mod util { pub trait Join { fn join(self, sep: &str) -> String; } impl Join for I where I: Iterator, T: std::fmt::Display, { fn join(self, sep: &str) -> String { let mut s = String::new(); use std::fmt::*; for (i, v) in self.enumerate() { if i > 0 { write!(&mut s, "{}", sep).ok(); } write!(&mut s, "{}", v).ok(); } s } } }