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 <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vector<vector<int>> g(n);
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
--x; --y;
g[x].push_back(y);
g[y].push_back(x);
}
vector<int> c(n);
for (int i = 0; i < n; i++) {
cin >> c[i];
--c[i];
}
auto Bfs = [&](int v) {
vector<int> d(n, -1);
vector<int> que(1, v);
d[v] = 0;
for (int b = 0; b < (int) que.size(); b++) {
int i = que[b];
for (int j : g[i]) {
if (d[j] == -1) {
d[j] = d[i] + 1;
que.push_back(j);
}
}
}
return d;
};
int x, y;
{
vector<int> d = Bfs(0);
x = 0;
for (int i = 1; i < n; i++) {
if (d[i] > d[x]) {
x = i;
}
}
}
{
vector<int> d = Bfs(x);
y = 0;
for (int i = 1; i < n; i++) {
if (d[i] > d[y]) {
y = i;
}
}
}
vector<vector<int>> d(2);
d[0] = Bfs(x);
d[1] = Bfs(y);
vector<int> res(n);
for (int foo = 0; foo < 2; foo++) {
int root = (foo == 0 ? x : y);
vector<int> mx(n);
vector<int> pr(n);
vector<int> dep(n);
function<void(int, int)> Dfs = [&](int v, int pv) {
pr[v] = pv;
mx[v] = 1;
for (int u : g[v]) {
if (u == pv) {
continue;
}
dep[u] = dep[v] + 1;
Dfs(u, v);
mx[v] = max(mx[v], mx[u] + 1);
}
};
Dfs(root, root);
vector<int> f(n, 1);
auto Add = [&](int v, int d, int p) {
while (d--) {
f[v] += p;
v = pr[v];
}
};
vector<set<int>> cols(n);
function<void(int, int)> Solve = [&](int v, int pv) {
if (d[foo][v] >= d[foo ^ 1][v]) {
Add(v, mx[v], -1);
vector<bool> was(m);
res[v] = 0;
for (int u = pr[v]; ; u = pr[u]) {
if (f[u] == 1) {
res[v] = (int) cols[u].size();
// res[v] += !was[c[u]];
// was[c[u]] = true;
break;
}
if (u == root) {
break;
}
}
Add(v, mx[v], +1);
}
multiset<int> st;
for (int u : g[v]) {
if (u == pv) {
continue;
}
st.insert(mx[u]);
}
for (int u : g[v]) {
if (u == pv) {
continue;
}
st.erase(st.find(mx[u]));
if (!st.empty()) {
Add(pr[v], *prev(st.end()), -1);
}
cols[v].clear();
for (int x = pr[v]; ; x = pr[x]) {
if (f[x] == 1) {
cols[v] = cols[x];
break;
}
if (x == root) {
break;
}
}
cols[v].insert(c[v]);
Solve(u, v);
if (!st.empty()) {
Add(pr[v], *prev(st.end()), +1);
}
st.insert(mx[u]);
}
};
Solve(root, root);
}
for (int i = 0; i < n; i++) {
cout << res[i] << '\n';
}
return 0;
}
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