#include<bits/stdc++.h>
#define taskname "A"
using namespace std;
template<class T>void minimize(T& a, T b){
if(a > b){
a = b;
}
}
int n, k;
namespace sub1{
void solve(){
vector<vector<int>>g(n + 1);
for(int i = 1; i < n; i++){
int u, v;
cin >> u >> v;
g[u].emplace_back(v);
g[v].emplace_back(u);
}
vector<int>color(n + 1), cnt_color(k, 0);
for(int i = 1; i <= n; i++){
cin >> color[i];
cnt_color[--color[i]]++;
}
int ans = n;
for(int mask = (1 << k) - 1; mask > 0; mask--){
if(__builtin_popcount(mask) < ans){
queue<int>q;
vector<bool>vis(n + 1, false);
for(int i = 1; i <= n; i++){
if(1 << color[i] & mask){
q.push(i);
vis[i] = true;
break;
}
}
while(!q.empty()){
int u = q.front();
q.pop();
for(int& v : g[u]){
if(!vis[v] && (1 << color[v] & mask)){
vis[v] = true;
q.push(v);
}
}
}
int expect = 0;
for(int i = 0; i < k; i++){
if(1 << i & mask){
expect += cnt_color[i];
}
}
if(count(vis.begin(), vis.end(), true) == expect){
ans = __builtin_popcount(mask);
}
}
}
cout << ans - 1;
}
}
namespace sub2{
void solve(){
vector<vector<int>>g(n + 1), vc(k + 1);
for(int i = 1; i < n; i++){
int u, v;
cin >> u >> v;
g[u].emplace_back(v);
g[v].emplace_back(u);
}
vector<int>color(n + 1);
for(int i = 1; i <= n; i++){
cin >> color[i];
vc[color[i]].emplace_back(i);
}
vector<int>parent(n + 1);
function<void(int)>dfs;
dfs = [&] (int s){
for(int& d : g[s]){
if(d != parent[s]){
parent[d] = s;
dfs(d);
}
}
};
int ans = n;
for(int i = 1; i <= k; i++){
int root = vc[i][0];
dfs(parent[root] = root);
queue<int>q;
for(int& x : vc[i]){
q.push(x);
}
vector<bool>vis_c(k + 1, false), vis(n + 1, false);
vis[root] = true;
vis_c[i] = true;
while(!q.empty()){
int u = q.front();
q.pop();
while(!vis[u = parent[u]]){
if(!vis_c[color[u]]){
for(int& x : vc[color[u]]){
q.push(x);
}
vis_c[color[u]] = true;
}
vis[u] = true;
}
}
minimize(ans, int(count(vis_c.begin(), vis_c.end(), true)));
}
cout << ans - 1;
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if(fopen(taskname".inp", "r")){
freopen(taskname".inp", "r", stdin);
}
cin >> n >> k;
if(n <= 20){
sub1::solve();
}
else if(n <= 2000){
sub2::solve();
}
}
컴파일 시 표준 에러 (stderr) 메시지
capital_city.cpp: In function 'int main()':
capital_city.cpp:116:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
116 | freopen(taskname".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
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