//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int dx[4]={0,0,1,-1};
int dy[4]={1,-1,0,0};
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
const int mxn=2e5+5;
const int inf=1e9;
const int B=17;
vector<int> adj[mxn];
vector<int> adj2[mxn*B],adjr[mxn*B];
bool visited[mxn*B];
int c[mxn];
int up[mxn][B];
int id[mxn][B];
int depth[mxn];
vector<int> belong[mxn];
vector<int> ord;
int L[mxn];
int sz[mxn*B];
int scc[mxn*B];
int out[mxn*B];
int n,k;
void dfs(int v,int p=0){
up[v][0]=p;
depth[v]=depth[p]+1;
for(auto u:adj[v]){
if(u==p) continue;
dfs(u,v);
}
}
void dfs2(int v){
visited[v]=true;
for(auto u:adj2[v]){
if(visited[u]) continue;
dfs2(u);
}
ord.push_back(v);
}
void dfs3(int v,int cur){
visited[v]=true;
scc[v]=cur;
if(v<=k) sz[cur]++;
for(auto u:adjr[v]){
if(visited[u]) continue;
dfs3(u,cur);
}
}
int lca(int a,int b){
if(depth[a]<depth[b]) swap(a,b);
int len=depth[a]-depth[b];
for(int i=0;i<B;i++){
if(len&(1<<i)) a=up[a][i];
}
if(a==b) return a;
for(int i=B-1;i>=0;i--){
int ta=up[a][i];
int tb=up[b][i];
if(ta!=tb){
a=ta;
b=tb;
}
}
return up[a][0];
}
int main() {_
cin>>n>>k;
for(int i=0;i<n-1;i++){
int a,b;
cin>>a>>b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for(int i=1;i<=n;i++){
cin>>c[i];
belong[c[i]].push_back(i);
}
dfs(1);
for(int j=1;j<B;j++){
for(int i=1;i<=n;i++){
up[i][j]=up[up[i][j-1]][j-1];
}
}
for(int i=1;i<=k;i++){
L[i]=belong[i][0];
for(int j=1;j<(int)belong[i].size();j++){
L[i]=lca(L[i],belong[i][j]);
}
}
int cnt=k;
for(int i=1;i<=n;i++){
id[i][0]=c[i];
}
for(int j=1;j<B;j++){
for(int i=1;i<=n;i++){
id[i][j]=++cnt;
adj2[id[i][j]].push_back(id[i][j-1]);
adj2[id[i][j]].push_back(id[up[i][j-1]][j-1]);
}
}
for(int i=1;i<=k;i++){
//cout<<L[i]<<'\n';
for(auto v:belong[i]){
int bit=__lg(depth[v]-depth[L[i]]+1);
adj2[i].push_back(id[v][bit]);
int len=depth[v]-(depth[L[i]]+(1<<bit)-1);
int x=v;
for(int j=0;j<B;j++){
if(len&(1<<j)) x=up[x][j];
}
adj2[i].push_back(id[x][bit]);
//cout<<v<<' '<<x<<' '<<bit<<'\n';
}
}
for(int i=1;i<=cnt;i++){
for(auto u:adj2[i]){
adjr[u].push_back(i);
}
}
fill(visited+1,visited+cnt+1,false);
for(int i=1;i<=cnt;i++){
if(!visited[i]){
dfs2(i);
}
}
reverse(all(ord));
fill(visited+1,visited+cnt+1,false);
int sccnt=0;
for(auto i:ord){
if(!visited[i]){
++sccnt;
dfs3(i,sccnt);
}
}
for(int i=1;i<=cnt;i++){
for(auto u:adj2[i]){
if(scc[u]!=scc[i]) out[scc[i]]++;
}
}
int ans=inf;
for(int i=1;i<=sccnt;i++){
if(out[i]==0 and sz[i]>0) ans=min(ans,sz[i]-1);
}
cout<<ans<<'\n';
return 0;
}
//maybe its multiset not set
//yeeorz
//laborz
Compilation message
capital_city.cpp: In function 'void setIO(std::string)':
capital_city.cpp:15:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
15 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:16:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
16 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
182072 KB |
Output is correct |
2 |
Correct |
58 ms |
169448 KB |
Output is correct |
3 |
Correct |
63 ms |
169612 KB |
Output is correct |
4 |
Correct |
69 ms |
169500 KB |
Output is correct |
5 |
Correct |
61 ms |
169556 KB |
Output is correct |
6 |
Correct |
62 ms |
169608 KB |
Output is correct |
7 |
Correct |
63 ms |
169552 KB |
Output is correct |
8 |
Correct |
68 ms |
169400 KB |
Output is correct |
9 |
Correct |
70 ms |
169396 KB |
Output is correct |
10 |
Correct |
65 ms |
169556 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
182072 KB |
Output is correct |
2 |
Correct |
58 ms |
169448 KB |
Output is correct |
3 |
Correct |
63 ms |
169612 KB |
Output is correct |
4 |
Correct |
69 ms |
169500 KB |
Output is correct |
5 |
Correct |
61 ms |
169556 KB |
Output is correct |
6 |
Correct |
62 ms |
169608 KB |
Output is correct |
7 |
Correct |
63 ms |
169552 KB |
Output is correct |
8 |
Correct |
68 ms |
169400 KB |
Output is correct |
9 |
Correct |
70 ms |
169396 KB |
Output is correct |
10 |
Correct |
65 ms |
169556 KB |
Output is correct |
11 |
Correct |
56 ms |
173420 KB |
Output is correct |
12 |
Correct |
56 ms |
173392 KB |
Output is correct |
13 |
Correct |
55 ms |
173196 KB |
Output is correct |
14 |
Correct |
54 ms |
173240 KB |
Output is correct |
15 |
Correct |
56 ms |
173364 KB |
Output is correct |
16 |
Correct |
66 ms |
173256 KB |
Output is correct |
17 |
Correct |
61 ms |
173280 KB |
Output is correct |
18 |
Correct |
64 ms |
173332 KB |
Output is correct |
19 |
Correct |
68 ms |
173280 KB |
Output is correct |
20 |
Correct |
64 ms |
177232 KB |
Output is correct |
21 |
Correct |
48 ms |
184548 KB |
Output is correct |
22 |
Correct |
72 ms |
173312 KB |
Output is correct |
23 |
Correct |
62 ms |
173464 KB |
Output is correct |
24 |
Correct |
59 ms |
173324 KB |
Output is correct |
25 |
Correct |
68 ms |
173344 KB |
Output is correct |
26 |
Correct |
63 ms |
173396 KB |
Output is correct |
27 |
Correct |
71 ms |
173368 KB |
Output is correct |
28 |
Correct |
68 ms |
172368 KB |
Output is correct |
29 |
Correct |
68 ms |
172344 KB |
Output is correct |
30 |
Correct |
69 ms |
172528 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2782 ms |
467928 KB |
Output is correct |
2 |
Correct |
961 ms |
458224 KB |
Output is correct |
3 |
Correct |
2628 ms |
467104 KB |
Output is correct |
4 |
Correct |
958 ms |
458092 KB |
Output is correct |
5 |
Execution timed out |
3037 ms |
483704 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
182072 KB |
Output is correct |
2 |
Correct |
58 ms |
169448 KB |
Output is correct |
3 |
Correct |
63 ms |
169612 KB |
Output is correct |
4 |
Correct |
69 ms |
169500 KB |
Output is correct |
5 |
Correct |
61 ms |
169556 KB |
Output is correct |
6 |
Correct |
62 ms |
169608 KB |
Output is correct |
7 |
Correct |
63 ms |
169552 KB |
Output is correct |
8 |
Correct |
68 ms |
169400 KB |
Output is correct |
9 |
Correct |
70 ms |
169396 KB |
Output is correct |
10 |
Correct |
65 ms |
169556 KB |
Output is correct |
11 |
Correct |
56 ms |
173420 KB |
Output is correct |
12 |
Correct |
56 ms |
173392 KB |
Output is correct |
13 |
Correct |
55 ms |
173196 KB |
Output is correct |
14 |
Correct |
54 ms |
173240 KB |
Output is correct |
15 |
Correct |
56 ms |
173364 KB |
Output is correct |
16 |
Correct |
66 ms |
173256 KB |
Output is correct |
17 |
Correct |
61 ms |
173280 KB |
Output is correct |
18 |
Correct |
64 ms |
173332 KB |
Output is correct |
19 |
Correct |
68 ms |
173280 KB |
Output is correct |
20 |
Correct |
64 ms |
177232 KB |
Output is correct |
21 |
Correct |
48 ms |
184548 KB |
Output is correct |
22 |
Correct |
72 ms |
173312 KB |
Output is correct |
23 |
Correct |
62 ms |
173464 KB |
Output is correct |
24 |
Correct |
59 ms |
173324 KB |
Output is correct |
25 |
Correct |
68 ms |
173344 KB |
Output is correct |
26 |
Correct |
63 ms |
173396 KB |
Output is correct |
27 |
Correct |
71 ms |
173368 KB |
Output is correct |
28 |
Correct |
68 ms |
172368 KB |
Output is correct |
29 |
Correct |
68 ms |
172344 KB |
Output is correct |
30 |
Correct |
69 ms |
172528 KB |
Output is correct |
31 |
Correct |
2782 ms |
467928 KB |
Output is correct |
32 |
Correct |
961 ms |
458224 KB |
Output is correct |
33 |
Correct |
2628 ms |
467104 KB |
Output is correct |
34 |
Correct |
958 ms |
458092 KB |
Output is correct |
35 |
Execution timed out |
3037 ms |
483704 KB |
Time limit exceeded |
36 |
Halted |
0 ms |
0 KB |
- |