use std::io::Write; use std::collections::*; type Map = BTreeMap; type Set = BTreeSet; type Deque = VecDeque; fn run() { input! { n: usize, q: usize, e: [(usize1, usize1); n - 1], ask: [(usize1, usize1); q], } let mut hld = HLD::new(n); for (a, b) in e { hld.add_edge(a, b); } hld.build(0); let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); let mut up = vec![]; let mut down = vec![]; let mut solve = |s: usize, t: usize| -> i32 { assert!(s != t); hld.path(s, t, &mut up, &mut down); let len = up.iter().chain(down.iter()).fold(0, |s, p| s + p.1 - p.0); if len % 2 == 0 { return 0; } let mid = hld.jump(s, t, len / 2, &mut up, &mut down).unwrap(); let mut ans = n as i32; for &x in [s, t].iter() { let v = hld.next(mid, x); if hld.parent(v).map_or(false, |p| p == mid) { let p = hld.sub_tree(v); ans -= (p.1 - p.0) as i32; } else { let p = hld.sub_tree(mid); ans -= (n - p.1 - p.0) as i32; } } ans }; for (s, t) in ask { let ans = solve(s, t); writeln!(out, "{}", ans).ok(); } } fn main() { run(); } // ---------- 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 ---------- // ---------- begin Heavy-Light decomposition ---------- pub struct HLD { size: usize, edge: Vec<(usize, usize)>, child: Vec>, path_root: Vec, parent: Vec, left: Vec, right: Vec, inverse: Vec, } impl HLD { pub fn new(size: usize) -> Self { assert!(size <= 10usize.pow(8)); HLD { size: size, edge: Vec::with_capacity(size - 1), child: Vec::new(), path_root: Vec::new(), parent: Vec::new(), left: Vec::new(), right: Vec::new(), inverse: Vec::new(), } } pub fn add_edge(&mut self, a: usize, b: usize) { assert!(a != b && a < self.size && b < self.size); self.edge.push((a, b)); } pub fn build(&mut self, root: usize) { assert!(self.edge.len() + 1 == self.size); let size = self.size; let mut cnt = vec![0; size]; for &(a, b) in self.edge.iter() { cnt[a] += 1; cnt[b] += 1; } let mut child = cnt .into_iter() .map(|c| Vec::with_capacity(c)) .collect::>(); for &(a, b) in self.edge.iter() { child[a].push(b); child[b].push(a); } let mut parent = vec![size; size]; let mut q = Vec::with_capacity(size); q.push(root); parent[root] = root; for i in 0..size { let v = q[i]; for u in child[v].clone() { assert!(parent[u] == size); parent[u] = v; child[u].retain(|e| *e != v); q.push(u); } } let mut sum = vec![1; size]; for &v in q.iter().rev() { let child = &mut child[v]; if !child.is_empty() { let (pos, _) = child.iter().enumerate().max_by_key(|p| sum[*p.1]).unwrap(); child.swap(0, pos); sum[v] = 1 + child.iter().fold(0, |s, a| s + sum[*a]); } } let mut path_root = (0..size).collect::>(); let mut left = vec![0; size]; let mut right = vec![0; size]; let mut dfs = vec![(root, false)]; let mut id = 0; while let Some((v, end)) = dfs.pop() { if end { right[v] = id; continue; } left[v] = id; id += 1; dfs.push((v, true)); let child = &child[v]; if !child.is_empty() { for &u in child[1..].iter() { path_root[u] = u; dfs.push((u, false)); } let u = child[0]; path_root[u] = path_root[v]; dfs.push((u, false)); } } let mut inverse = vec![size; size]; for (i, l) in left.iter().enumerate() { inverse[*l] = i; } self.child = child; self.parent = parent; self.left = left; self.right = right; self.path_root = path_root; self.inverse = inverse; } pub fn lca(&self, mut a: usize, mut b: usize) -> usize { assert!(a < self.size && b < self.size); let path = &self.path_root; let parent = &self.parent; let index = &self.left; while path[a] != path[b] { if index[a] > index[b] { std::mem::swap(&mut a, &mut b); } b = parent[path[b]]; } std::cmp::min((index[a], a), (index[b], b)).1 } pub fn path( &self, src: usize, dst: usize, up: &mut Vec<(usize, usize)>, down: &mut Vec<(usize, usize)>, ) { assert!(src < self.size && dst < self.size); up.clear(); down.clear(); let path = &self.path_root; let parent = &self.parent; let index = &self.left; let mut x = src; let mut y = dst; while path[x] != path[y] { if index[x] > index[y] { let p = path[x]; assert!(p == path[p]); up.push((index[p], index[x] + 1)); x = parent[p]; } else { let p = path[y]; assert!(p == path[p]); down.push((index[p], index[y] + 1)); y = parent[p]; } } if index[x] <= index[y] { down.push((index[x], index[y] + 1)); } else { up.push((index[y], index[x] + 1)); } down.reverse(); } pub fn sub_tree(&self, v: usize) -> (usize, usize) { assert!(v < self.size); (self.left[v], self.right[v]) } pub fn parent(&self, v: usize) -> Option { assert!(v < self.size); let p = self.parent[v]; if p == v { None } else { Some(p) } } // s -> t へのパスの2番目の頂点を返す pub fn next(&self, s: usize, t: usize) -> usize { assert!(s < self.size && t < self.size && s != t); let (a, b) = self.sub_tree(s); let (c, d) = self.sub_tree(t); if !(a <= c && d <= b) { return self.parent[s]; } let mut pos = t; let mut pre = t; while self.path_root[s] != self.path_root[pos] { pre = self.path_root[pos]; pos = self.parent[pre]; } if s == pos { pre } else { self.child[s][0] } } pub fn vertex(&self, x: usize) -> usize { assert!(x < self.size); self.inverse[x] } pub fn jump(&self, s: usize, t: usize, mut k: usize, up: &mut Vec<(usize, usize)>, down: &mut Vec<(usize, usize)>) -> Option { assert!(s.max(t) < self.size); self.path(s, t, up, down); for (l, r) in up.drain(..) { if k < r - l { return Some(self.vertex(r - 1 - k)); } k -= r - l; } for (l, r) in down.drain(..) { if k < r - l { return Some(self.vertex(l + k)); } k -= r - l; } None } } // ---------- end Heavy-Light decomposition ----------