#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric>
#include<bitset>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-loops")
using namespace std;
#define int long long
const int mod=1e9+7,mxn=2e5+5,lg=30,inf=1e18,minf=-1e18;
// ->, <-, all node that follow in component||node of that component
int n,k;
int h[mxn+10],up[mxn+10][lg+5],g[mxn+10],gl[mxn+10],low[mxn+10],disc[mxn+10];
vector<int>adj[mxn+10],group[mxn+10],adj2[mxn+10];
void dfs(int cur,int p){
for(auto i:adj[cur]){
if(i==p)continue;
h[i]=h[cur]+1;
up[i][0]=cur;
dfs(i,cur);
}
}
int lca(int a,int b){
if(h[a]<h[b])swap(a,b);
int k=h[a]-h[b];
for(int i=0;i<=lg;i++)if(k&(1<<i))a=up[a][i];
if(a==b)return a;
for(int i=lg;i>=0;i--)if(up[a][i]!=up[b][i])a=up[a][i],b=up[b][i];
return up[a][0];
}
bitset<mxn+10>on,vis;
stack<int>st;
int t=0,ans=inf;
void tarjan(int cur){
vis[cur]=true;
low[cur]=disc[cur]=++t;
st.push(cur);
on[cur]=true;
for(auto i:adj2[cur]){
if(!disc[i])tarjan(i),low[cur]=min(low[cur],low[i]);
else if(on[i])low[cur]=min(low[cur],low[i]);
}
if(disc[cur]==low[cur]){
bool yes=true;
on[cur]=false;
int cnt=1;
if(st.empty()||st.top()==cur&&adj[cur].size())yes=false;
while(!st.empty()&&st.top()!=cur){
if(on[st.top()])cnt++;
on[st.top()]=false;
st.pop();
}
if(!st.empty())st.pop();
if(yes)ans=min(ans,cnt-1);
}
}
int32_t main(){
fastio
cin>>n>>k;
for(int i=0;i<n-1;i++){
int a,b;cin>>a>>b;
adj[a].pb(b);
adj[b].pb(a);
}
dfs(1,-1);
for(int i=1;i<=n;i++)cin>>g[i],group[g[i]].pb(i);
for(int i=1;i<=lg;i++)up[1][i]=1;
for(int i=1;i<=lg;i++)for(int j=1;j<=n;j++)up[j][i]=up[up[j][i-1]][i-1];
for(int i=1;i<=k;i++){
if(group[i].empty())continue;
int node=group[i][0];
for(int j=1;j<group[i].size();j++)node=lca(node,group[i][j]);
gl[i]=node;
}
for(int i=1;i<=n;i++)if(g[up[i][0]]!=g[i]&&i!=gl[g[i]])adj2[g[i]].pb(g[up[i][0]]);
for(int i=1;i<=k;i++)if(group[i].size()&&!vis[i])tarjan(i);
cout<<((ans==inf)?0:ans);
return 0;
}
Compilation message
capital_city.cpp: In function 'void tarjan(long long int)':
capital_city.cpp:71:31: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
71 | if(st.empty()||st.top()==cur&&adj[cur].size())yes=false;
| ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~
capital_city.cpp: In function 'int32_t main()':
capital_city.cpp:96:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
96 | for(int j=1;j<group[i].size();j++)node=lca(node,group[i][j]);
| ~^~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
21084 KB |
Output is correct |
2 |
Correct |
4 ms |
21084 KB |
Output is correct |
3 |
Correct |
4 ms |
21084 KB |
Output is correct |
4 |
Correct |
4 ms |
21084 KB |
Output is correct |
5 |
Correct |
5 ms |
21116 KB |
Output is correct |
6 |
Correct |
4 ms |
21084 KB |
Output is correct |
7 |
Correct |
4 ms |
21084 KB |
Output is correct |
8 |
Correct |
4 ms |
21084 KB |
Output is correct |
9 |
Correct |
5 ms |
21072 KB |
Output is correct |
10 |
Correct |
4 ms |
21084 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
21084 KB |
Output is correct |
2 |
Correct |
4 ms |
21084 KB |
Output is correct |
3 |
Correct |
4 ms |
21084 KB |
Output is correct |
4 |
Correct |
4 ms |
21084 KB |
Output is correct |
5 |
Correct |
5 ms |
21116 KB |
Output is correct |
6 |
Correct |
4 ms |
21084 KB |
Output is correct |
7 |
Correct |
4 ms |
21084 KB |
Output is correct |
8 |
Correct |
4 ms |
21084 KB |
Output is correct |
9 |
Correct |
5 ms |
21072 KB |
Output is correct |
10 |
Correct |
4 ms |
21084 KB |
Output is correct |
11 |
Correct |
5 ms |
23132 KB |
Output is correct |
12 |
Correct |
5 ms |
23132 KB |
Output is correct |
13 |
Correct |
5 ms |
23132 KB |
Output is correct |
14 |
Correct |
5 ms |
23132 KB |
Output is correct |
15 |
Correct |
5 ms |
23132 KB |
Output is correct |
16 |
Correct |
5 ms |
23248 KB |
Output is correct |
17 |
Correct |
5 ms |
23132 KB |
Output is correct |
18 |
Correct |
5 ms |
23132 KB |
Output is correct |
19 |
Correct |
5 ms |
23240 KB |
Output is correct |
20 |
Correct |
5 ms |
23132 KB |
Output is correct |
21 |
Correct |
5 ms |
23128 KB |
Output is correct |
22 |
Correct |
5 ms |
23332 KB |
Output is correct |
23 |
Correct |
7 ms |
23200 KB |
Output is correct |
24 |
Correct |
6 ms |
23236 KB |
Output is correct |
25 |
Correct |
5 ms |
23356 KB |
Output is correct |
26 |
Correct |
5 ms |
23132 KB |
Output is correct |
27 |
Correct |
5 ms |
23132 KB |
Output is correct |
28 |
Correct |
5 ms |
23128 KB |
Output is correct |
29 |
Correct |
6 ms |
23132 KB |
Output is correct |
30 |
Incorrect |
5 ms |
23116 KB |
Output isn't correct |
31 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
224 ms |
95316 KB |
Output is correct |
2 |
Correct |
107 ms |
95060 KB |
Output is correct |
3 |
Correct |
310 ms |
95060 KB |
Output is correct |
4 |
Correct |
108 ms |
95148 KB |
Output is correct |
5 |
Correct |
236 ms |
94304 KB |
Output is correct |
6 |
Correct |
112 ms |
95284 KB |
Output is correct |
7 |
Correct |
214 ms |
93760 KB |
Output is correct |
8 |
Correct |
101 ms |
94404 KB |
Output is correct |
9 |
Correct |
175 ms |
92496 KB |
Output is correct |
10 |
Incorrect |
174 ms |
91620 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
21084 KB |
Output is correct |
2 |
Correct |
4 ms |
21084 KB |
Output is correct |
3 |
Correct |
4 ms |
21084 KB |
Output is correct |
4 |
Correct |
4 ms |
21084 KB |
Output is correct |
5 |
Correct |
5 ms |
21116 KB |
Output is correct |
6 |
Correct |
4 ms |
21084 KB |
Output is correct |
7 |
Correct |
4 ms |
21084 KB |
Output is correct |
8 |
Correct |
4 ms |
21084 KB |
Output is correct |
9 |
Correct |
5 ms |
21072 KB |
Output is correct |
10 |
Correct |
4 ms |
21084 KB |
Output is correct |
11 |
Correct |
5 ms |
23132 KB |
Output is correct |
12 |
Correct |
5 ms |
23132 KB |
Output is correct |
13 |
Correct |
5 ms |
23132 KB |
Output is correct |
14 |
Correct |
5 ms |
23132 KB |
Output is correct |
15 |
Correct |
5 ms |
23132 KB |
Output is correct |
16 |
Correct |
5 ms |
23248 KB |
Output is correct |
17 |
Correct |
5 ms |
23132 KB |
Output is correct |
18 |
Correct |
5 ms |
23132 KB |
Output is correct |
19 |
Correct |
5 ms |
23240 KB |
Output is correct |
20 |
Correct |
5 ms |
23132 KB |
Output is correct |
21 |
Correct |
5 ms |
23128 KB |
Output is correct |
22 |
Correct |
5 ms |
23332 KB |
Output is correct |
23 |
Correct |
7 ms |
23200 KB |
Output is correct |
24 |
Correct |
6 ms |
23236 KB |
Output is correct |
25 |
Correct |
5 ms |
23356 KB |
Output is correct |
26 |
Correct |
5 ms |
23132 KB |
Output is correct |
27 |
Correct |
5 ms |
23132 KB |
Output is correct |
28 |
Correct |
5 ms |
23128 KB |
Output is correct |
29 |
Correct |
6 ms |
23132 KB |
Output is correct |
30 |
Incorrect |
5 ms |
23116 KB |
Output isn't correct |
31 |
Halted |
0 ms |
0 KB |
- |