#include<bits/stdc++.h>
#define ll long long
const int nmax = 2e5 + 5, N = 1e6;
const ll oo = 1e9 + 5, base = 311;
const int lg = 62, tx = 26;
const ll mod = 1e9 + 7, mod2 = 1e9+3;
#define pii pair<ll, ll>
#define fi first
#define se second
#define endl "\n"
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
#define NAME code
using namespace std;
int n, k;
vector<int> adj[nmax];
int h[nmax], up[nmax][lg + 1];
void dfs(int u, int p){
for(auto v : adj[u]){
if(v == p) continue;
h[v] = h[u] + 1;
up[v][0] = u;
for(int j = 1; j <= lg; ++j) up[v][j] = up[up[v][j - 1]][j - 1];
dfs(v, u);
}
}
int lca(int u, int v){
if(h[u] != h[v]){
if(h[u] < h[v]) swap(u, v);
int k = h[u] - h[v];
for(int j = 0; j <= __lg(k); ++j){
if(k >> j & 1){
u = up[u][j];
}
}
}
if(u == v) return u;
for(int j = __lg(h[u]);j >= 0; --j){
if(up[u][j] != up[v][j]){
u = up[u][j];
v = up[v][j];
}
}
return up[u][0];
}
int lc[nmax],vis[nmax], c[nmax];
queue<int> q;
vector<int> mau[nmax];
int r[nmax], ans[nmax];
int get(int u){
return r[u] ? r[u] = get(r[u]) : u;
}
void Union(int u, int v, int val){
int x = get(u);
int y = get(v);
if(x != y){
r[x] = y;
lc[y] = lca(lc[y], lc[x]);
ans[y] += ans[x];
ans[y] += val;
}
}
void bfs(int x){
vis[x] = 1;
for(auto p : mau[x])q.push(p);
while(q.size()){
int u = q.front();q.pop();
if(u == lc[get(u)]) continue;
int v = up[u][0];
if(get(u) == get(v)) continue;
if(vis[c[v]] == 1) ans[get(u)] = oo;
else{
vis[c[v]] = 1;
for(auto p : mau[c[v]]){
q.push(p);
Union(u, p, 1);
}
}
}
}
int idx[nmax];
main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
// freopen("code.inp", "r", stdin);
// freopen("code.out", "w", stdout);
cin >> n >> k;
for(int i = 1; i < n; ++i){
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfs(1, -1);
for(int i = 1; i <= n; ++i){
cin >> c[i];
mau[c[i]].push_back(i);
lc[i] = idx[i] = i;
}
for(int i = 1; i <= k; ++i){
for(int j = 0; j < mau[i].size() - 1; ++j){
Union(mau[i][j], mau[i][j + 1],0);
}
}
sort(idx + 1, idx + 1 + n, [](int a, int b){
return h[a] < h[b];
});
for(int i = 1; i <= n; ++i){
int u = idx[i];
if(vis[c[u]]) continue;
bfs(c[u]);
}
int res = oo;
for(int i = 1; i <= n; ++i) res = min(res, ans[get(i)]);
cout << res;
}
/*
*/
Compilation message
capital_city.cpp:87:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
87 | main(){
| ^~~~
capital_city.cpp: In function 'int main()':
capital_city.cpp:106:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
106 | for(int j = 0; j < mau[i].size() - 1; ++j){
| ~~^~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9816 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9868 KB |
Output is correct |
4 |
Incorrect |
4 ms |
9852 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9816 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9868 KB |
Output is correct |
4 |
Incorrect |
4 ms |
9852 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
357 ms |
92340 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9816 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9868 KB |
Output is correct |
4 |
Incorrect |
4 ms |
9852 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |