// ---------- begin persistent stack ---------- #[allow(dead_code)] mod persistent_stack { use std::rc::Rc; type Ref = Rc>; type Link = Option>; struct Node { value: T, next: Link, } impl Node { fn new(value: T, next: Link) -> Self { Node { value, next } } } #[derive(Clone)] pub struct Stack { size: usize, node: Link, } impl Drop for Stack { fn drop(&mut self) { let mut root = self.node.take(); while let Some(Some(node)) = root.as_mut().map(|p| Rc::get_mut(p)) { root = node.next.take(); } } } impl Stack { fn build(size: usize, node: Link) -> Self { Stack { size, node } } pub fn new() -> Self { Stack::build(0, None) } #[must_use] pub fn push(&self, value: T) -> Self { let node = Some(Rc::new(Node::new(value, self.node.clone()))); Stack::build(self.size + 1, node) } pub fn top(&self) -> Option<&T> { self.node.as_ref().map(|p| &p.value) } #[must_use] pub fn pop(&self) -> Option<(Self, &T)> { self.node.as_ref().map(|p| { let s = Stack::build(self.size - 1, p.next.clone()); (s, &p.value) }) } pub fn len(&self) -> usize { self.size } pub fn is_empty(&self) -> bool { self.size == 0 } } pub struct Iter<'a, T> { next: Option<&'a Ref>, } impl Stack { pub fn iter(&self) -> Iter { Iter { next: self.node.as_ref(), } } } impl<'a, T> Iterator for Iter<'a, T> { type Item = &'a T; fn next(&mut self) -> Option { self.next.take().map(|p| { self.next = p.next.as_ref(); &p.value }) } } } // ---------- end persistent stack ---------- // ---------- 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, $t)).collect::>() }; ($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 ---------- use std::io::Write; fn run() { input! { n: usize, q: usize, a: [usize; q], b: [usize; q], } type Stack = persistent_stack::Stack<(usize, usize)>; let mut dp = vec![Stack::new(); n + 2]; for i in 1..=n { dp[i] = dp[i].push((i, 0)); } let mut range = vec![(1, n + 1)]; for (i, (&a, &b)) in a.iter().zip(b.iter()).enumerate() { let t = i + 1; for p in range.iter_mut() { if p.0 > 1 && dp[p.0 - 1].is_empty() { dp[p.0 - 1] = dp[p.0].push((p.0 - 1, t)); p.0 -= 1; } if p.1 <= n && dp[p.1].is_empty() { dp[p.1] = dp[p.1 - 1].push((p.1, t)); p.1 += 1; } } range.dedup_by(|a, b| { b.1 == a.0 && { b.1 = a.1; true } }); dp[a] = Stack::new(); dp[b] = Stack::new(); for &p in [a, b].iter() { let mut next = vec![]; for (l, r) in range { if l <= p && p < r { if l < p { next.push((l, p)); } if p + 1 < r { next.push((p + 1, r)); } } else { next.push((l, r)); } } range = next; } } if let Some(x) = dp.iter().find(|s| !s.is_empty()) { println!("YES"); let mut pos = vec![0; q + 1]; for &(a, b) in x.iter() { pos[b] = a; } for i in 1..=q { if pos[i] == 0 { pos[i] = pos[i - 1]; } } let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); for p in pos.iter() { writeln!(out, "{}", *p).ok(); } } else { println!("NO"); } } fn main() { run(); }