// ---------- begin Centroid Decomposition ---------- struct CentroidDecomposition { graph: Vec>, next: Vec<(usize, usize)>, } #[allow(dead_code)] impl CentroidDecomposition { fn new(n: usize) -> Self { CentroidDecomposition { graph: vec![vec![]; n], next: vec![], } } fn add_edge(&mut self, a: usize, b: usize) { self.graph[a].push(b); self.graph[b].push(a); } fn build(&mut self) { let graph = &self.graph; let next = &mut self.next; let n = graph.len(); next.clear(); next.resize(n, (n, n)); assert!( graph.iter().fold(0, |s, a| s + a.len()) == 2 * n - 2, "graph is not tree" ); let mut dfs = vec![(0, 0, n)]; let mut used = vec![false; n]; let mut size = vec![0; n]; let mut stack = vec![]; let mut q = vec![]; while let Some((v, rank, g)) = dfs.pop() { size[v] = 0; stack.push((v, v)); q.clear(); while let Some((v, p)) = stack.pop() { q.push(v); for &u in graph[v].iter() { size[u] = 0; if u != p && !used[u] { stack.push((u, v)); } } } for &v in q.iter().rev() { size[v] = 1; for &u in graph[v].iter() { size[v] += size[u]; } } let mut parent = v; let mut r = v; loop { let mut max = (0, 0); for &u in graph[r].iter() { if u != parent && !used[u] { max = std::cmp::max(max, (size[u], u)); } } if 2 * max.0 <= size[v] { break; } parent = r; r = max.1; } used[r] = true; next[r] = (rank, g); for &v in graph[r].iter() { if !used[v] { dfs.push((v, rank + 1, r)); } } } } fn belong(&self, v: usize) -> Vec { let mut ans = vec![]; let mut v = v; while v < self.graph.len() { ans.push(v); v = self.next[v].1; } ans } fn rank(&self, v: usize) -> usize { self.next[v].0 } } // ---------- end Centroid Decomposition ---------- // ---------- begin scannner ---------- #[allow(dead_code)] mod scanner { use std; use std::io::Read; use std::str::FromStr; use std::str::SplitWhitespace; pub struct Scanner<'a> { it: SplitWhitespace<'a>, } impl<'a> Scanner<'a> { pub fn new(s: &'a String) -> Scanner<'a> { Scanner { it: s.split_whitespace(), } } pub fn next(&mut self) -> T { match self.it.next().unwrap().parse::() { Ok(v) => v, _ => panic!("Scanner error"), } } pub fn next_chars(&mut self) -> Vec { self.next::().chars().collect() } pub fn next_vec(&mut self, len: usize) -> Vec { (0..len).map(|_| self.next()).collect() } } pub fn read_string() -> String { let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s } } // ---------- end scannner ---------- use std::io::Write; fn main() { let sc = scanner::read_string(); let mut sc = scanner::Scanner::new(&sc); let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); run(&mut sc, &mut out); } fn run(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter) { let n: usize = sc.next(); let m: usize = sc.next(); let q: usize = sc.next(); let mut c: Vec<_> = (0..m).map(|_| sc.next::() - 1).collect(); let mut cent = CentroidDecomposition::new(n); for _ in 1..n { let a = sc.next::() - 1; let b = sc.next::() - 1; cent.add_edge(a, b); } cent.build(); let cent = cent; let mut memo = vec![]; for r in 0.. { let mut dp = vec![n as i64; n]; let mut q = std::collections::VecDeque::new(); for i in 0..n { if cent.rank(i) == r { dp[i] = 0; q.push_back(i); } } if q.is_empty() { break; } while let Some(v) = q.pop_front() { let d = dp[v] + 1; for &u in cent.graph[v].iter() { if cent.rank(u) >= r && dp[u] > d { dp[u] = d; q.push_back(u); } } } memo.push(dp); } // 距離の和、個数 let mut all = vec![(0, 0); n]; let mut sub = vec![(0, 0); n]; for &c in c.iter() { let belong = cent.belong(c); for (dp, &g) in memo.iter().zip(belong.iter().rev()) { all[g].0 += dp[c]; all[g].1 += 1; } for (dp, &g) in memo.iter().zip(belong.iter().rev().skip(1)) { sub[g].0 += dp[c]; sub[g].1 += 1; } } for _ in 0..q { let op: u8 = sc.next(); if op == 1 { let p = sc.next::() - 1; let d = sc.next::() - 1; for &(sign, v) in [(-1, c[p]), (1, d)].iter() { let belong = cent.belong(v); for (dp, &g) in memo.iter().zip(belong.iter().rev()) { all[g].0 += sign * dp[v]; all[g].1 += sign; } for (dp, &g) in memo.iter().zip(belong.iter().rev().skip(1)) { sub[g].0 += sign * dp[v]; sub[g].1 += sign; } } c[p] = d; } else { let e = sc.next::() - 1; let belong = cent.belong(e); let mut ans = 0; for (dp, &g) in memo.iter().zip(belong.iter().rev()) { ans += all[g].0; ans += all[g].1 * dp[e]; } for (dp, &g) in memo.iter().zip(belong.iter().rev().skip(1)) { ans -= sub[g].0; ans -= sub[g].1 * dp[e]; } writeln!(out, "{}", ans).ok(); } } }