This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<iostream>
#include<algorithm>
#include<vector>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define ff first
#define ss second
const int N = 2e5 + 8;
int n, m;
vector<int> g[N];
int color[N];
int dp[N], dep[N], ptr;
void dfs_len(int u, int p = 0) {
dp[u] = dep[u] = dep[p] + 1;
if (dep[ptr] < dep[u]) ptr = u;
for (int v : g[u]) if (v != p) {
dfs_len(v, u);
dp[u] = max(dp[u], dp[v]);
}
}
int cnt[N], cnt_unique, ans[N];
vector<int> A;
void add(int x) {
if (++cnt[color[x]] == 1) ++cnt_unique;
A.push_back(x);
}
void del() {
int x = A.back(); A.pop_back();
if (--cnt[color[x]] == 0) --cnt_unique;
}
void dfs(int u, int p = 0) {
if (p) add(p);
vector<pii> vec;
for (int v : g[u]) if (v != p) vec.emplace_back(dp[v], v);
sort(vec.begin(), vec.end(), greater<pii>());
int mx1 = vec.size() > 0 ? vec[0].ff : 0;
int mx2 = vec.size() > 1 ? vec[1].ff : 0;
for (pii v : vec) {
int mx = mx1 + mx2 - max(v.ff, mx2);
while (!A.empty() && mx - dep[u] >= dep[u] - dep[A.back()]) del();
dfs(v.ss, u);
}
while (!A.empty() && dp[u] - dep[u] >= dep[u] - dep[A.back()]) del();
ans[u] = max(ans[u], cnt_unique);
}
int main() {
cin.tie(NULL)->sync_with_stdio(false);
cin >> n >> m;
for (int i = 1, u, v; i < n; ++i) {
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
for (int i = 1; i <= n; ++i) cin >> color[i];
dfs_len(ptr = 1);
for (int k = 0, i; k < 2; ++k) {
dfs_len(i = ptr);
dfs(i);
}
for (int i = 1; i <= n; ++i) cout << ans[i] << '\n';
}
/** /\_/\
* (= ._.)
* / >0 \>1
**/
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