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222<snippet>
<content><![CDATA[
#include <bits/stdc++.h>
using i64 = long long;
struct HLD {
int n;
std::vector<int> siz, top, dep, parent, in, out, seq;
std::vector<std::vector<int>> adj;
int cur;
HLD() {}
HLD(int n) {
init(n);
}
void init(int n) {
this->n = n;
siz.resize(n);
top.resize(n);
dep.resize(n);
parent.resize(n);
in.resize(n);
out.resize(n);
seq.resize(n);
cur = 0;
adj.assign(n, {});
}
void addEdge(int u, int v) {
adj[u].push_back(v);
adj[v].push_back(u);
}
void work(int root = 0) {
top[root] = root;
dep[root] = 0;
parent[root] = -1;
dfs1(root);
dfs2(root);
}
void dfs1(int u) {
if (parent[u] != -1) {
adj[u].erase(std::find(adj[u].begin(), adj[u].end(), parent[u]));
}
siz[u] = 1;
for (auto &v : adj[u]) {
parent[v] = u;
dep[v] = dep[u] + 1;
dfs1(v);
siz[u] += siz[v];
if (siz[v] > siz[adj[u][0]]) {
std::swap(v, adj[u][0]);
}
}
}
void dfs2(int u) {
in[u] = cur++;
seq[in[u]] = u;
for (auto v : adj[u]) {
top[v] = v == adj[u][0] ? top[u] : v;
dfs2(v);
}
out[u] = cur;
}
int lca(int u, int v) {
while (top[u] != top[v]) {
if (dep[top[u]] > dep[top[v]]) {
u = parent[top[u]];
} else {
v = parent[top[v]];
}
}
return dep[u] < dep[v] ? u : v;
}
int dist(int u, int v) {
return dep[u] + dep[v] - 2 * dep[lca(u, v)];
}
int jump(int u, int k) {
if (dep[u] < k) {
return -1;
}
int d = dep[u] - k;
while (dep[top[u]] > d) {
u = parent[top[u]];
}
return seq[in[u] - dep[u] + d];
}
bool isAncester(int u, int v) {
return in[u] <= in[v] && in[v] < out[u];
}
int rootedParent(int u, int v) {
std::swap(u, v);
if (u == v) {
return u;
}
if (!isAncester(u, v)) {
return parent[u];
}
auto it = std::upper_bound(adj[u].begin(), adj[u].end(), v, [&](int x, int y) {
return in[x] < in[y];
}) - 1;
return *it;
}
int rootedSize(int u, int v) {
if (u == v) {
return n;
}
if (!isAncester(v, u)) {
return siz[v];
}
return n - siz[rootedParent(u, v)];
}
int rootedLca(int a, int b, int c) {
return lca(a, b) ^ lca(b, c) ^ lca(c, a);
}
};
/*
HLD tree(n);
for (int i = 1; i < n; i++) {
int u, v;
scanf("%d%d",&u,&v);
t.addEdge(u, v);
}
t.work(A); // making root as A
pi = t.parent[i] // parent of node i for current t
t.rootedLca(T, A, B) //T as root, lca(A,B)
S = t.rootedParent(T, S);//T as root, parent of S
*/
//only in case any problem ----refer below
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n;
std::cin >> n;
std::vector<int> A(n - 1), B(n - 1);
HLD t(n);
for (int i = 1; i < n; i++) {
int u, v;
std::cin >> u >> v;
u--, v--;
A[i - 1] = u;
B[i - 1] = v;
t.addEdge(u, v);
}
std::vector<int> a(n);
std::map<int, std::vector<int>, std::greater<>> f;
for (int i = 0; i < n; i++) {
std::cin >> a[i];
f[a[i]].push_back(i);
}
std::vector<int> ans(n);
int S = -1, T = -1;
int min = 0;
for (auto [v, e] : f) {
if (e.size() < 2) {
continue;
}
if (e.size() >= 3) {
min = v;
break;
}
int A = e[0], B = e[1];
if (S == -1) {
t.work(A); // making root as A
ans.assign(n, v);
S = A, T = B;
for (int i = T; i != S; i = t.parent[i]) { // parent of node i for current t
ans[i] = 0;
}
} else {
while (S != T && t.rootedLca(T, A, B) != T) { //T as root, lca(A,B)
ans[T] = v;
T = t.parent[T];
}
while (S != T && t.rootedLca(S, A, B) != S) { // S as root, lca(A,B)
S = t.rootedParent(T, S);//T as root, parent of S
ans[S] = v;
}
}
}
if (S == -1) {
t.work(0);
}
for (int i = 0; i < n - 1; i++) {
if (t.parent[A[i]] == B[i]) {
std::swap(A[i], B[i]);
}
std::cout << std::max(ans[B[i]], min) << "\n";
}
return 0;
}
]]></content>
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<tabTrigger>HLD</tabTrigger>
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<scope>source.c++</scope>
</snippet>