#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;
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;
int comp[mxn+10];
int compcnt=0;
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]){
compcnt++;
bool yes=true;
on[cur]=false;
comp[cur]=compcnt;
vector<int>v;
int cnt=1;
v.pb(cur);
while(!st.empty()&&st.top()!=cur){
v.pb(st.top());
if(on[st.top()])cnt++;
comp[st.top()]=compcnt;
on[st.top()]=false;
st.pop();
}
if(!st.empty())st.pop();
for(auto i:v)for(auto j:adj2[i])yes&=(compcnt==comp[j]);
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 'int32_t main()':
capital_city.cpp:103:16: 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]
103 | 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 |
22872 KB |
Output is correct |
2 |
Correct |
4 ms |
22876 KB |
Output is correct |
3 |
Correct |
4 ms |
22876 KB |
Output is correct |
4 |
Correct |
4 ms |
23040 KB |
Output is correct |
5 |
Correct |
5 ms |
22876 KB |
Output is correct |
6 |
Correct |
4 ms |
22876 KB |
Output is correct |
7 |
Correct |
4 ms |
22876 KB |
Output is correct |
8 |
Correct |
4 ms |
22876 KB |
Output is correct |
9 |
Correct |
4 ms |
22876 KB |
Output is correct |
10 |
Correct |
4 ms |
22876 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
22872 KB |
Output is correct |
2 |
Correct |
4 ms |
22876 KB |
Output is correct |
3 |
Correct |
4 ms |
22876 KB |
Output is correct |
4 |
Correct |
4 ms |
23040 KB |
Output is correct |
5 |
Correct |
5 ms |
22876 KB |
Output is correct |
6 |
Correct |
4 ms |
22876 KB |
Output is correct |
7 |
Correct |
4 ms |
22876 KB |
Output is correct |
8 |
Correct |
4 ms |
22876 KB |
Output is correct |
9 |
Correct |
4 ms |
22876 KB |
Output is correct |
10 |
Correct |
4 ms |
22876 KB |
Output is correct |
11 |
Correct |
5 ms |
23132 KB |
Output is correct |
12 |
Correct |
5 ms |
23132 KB |
Output is correct |
13 |
Correct |
7 ms |
23212 KB |
Output is correct |
14 |
Correct |
5 ms |
23132 KB |
Output is correct |
15 |
Correct |
6 ms |
22980 KB |
Output is correct |
16 |
Correct |
5 ms |
23132 KB |
Output is correct |
17 |
Correct |
6 ms |
23132 KB |
Output is correct |
18 |
Correct |
5 ms |
23132 KB |
Output is correct |
19 |
Correct |
5 ms |
22968 KB |
Output is correct |
20 |
Correct |
5 ms |
23132 KB |
Output is correct |
21 |
Correct |
5 ms |
23132 KB |
Output is correct |
22 |
Correct |
5 ms |
23132 KB |
Output is correct |
23 |
Correct |
5 ms |
23132 KB |
Output is correct |
24 |
Correct |
5 ms |
23128 KB |
Output is correct |
25 |
Correct |
5 ms |
23128 KB |
Output is correct |
26 |
Correct |
5 ms |
23208 KB |
Output is correct |
27 |
Correct |
5 ms |
23132 KB |
Output is correct |
28 |
Correct |
5 ms |
23132 KB |
Output is correct |
29 |
Correct |
5 ms |
23384 KB |
Output is correct |
30 |
Correct |
5 ms |
23132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
255 ms |
97620 KB |
Output is correct |
2 |
Correct |
113 ms |
96760 KB |
Output is correct |
3 |
Correct |
211 ms |
96588 KB |
Output is correct |
4 |
Correct |
113 ms |
96848 KB |
Output is correct |
5 |
Correct |
267 ms |
97484 KB |
Output is correct |
6 |
Correct |
108 ms |
96636 KB |
Output is correct |
7 |
Correct |
220 ms |
95564 KB |
Output is correct |
8 |
Correct |
117 ms |
96040 KB |
Output is correct |
9 |
Correct |
225 ms |
94548 KB |
Output is correct |
10 |
Correct |
192 ms |
93460 KB |
Output is correct |
11 |
Correct |
213 ms |
98388 KB |
Output is correct |
12 |
Correct |
217 ms |
99228 KB |
Output is correct |
13 |
Correct |
177 ms |
97016 KB |
Output is correct |
14 |
Correct |
213 ms |
99608 KB |
Output is correct |
15 |
Correct |
194 ms |
99440 KB |
Output is correct |
16 |
Correct |
200 ms |
97492 KB |
Output is correct |
17 |
Correct |
193 ms |
97900 KB |
Output is correct |
18 |
Correct |
184 ms |
98076 KB |
Output is correct |
19 |
Correct |
191 ms |
99120 KB |
Output is correct |
20 |
Correct |
195 ms |
99840 KB |
Output is correct |
21 |
Correct |
5 ms |
22872 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
22872 KB |
Output is correct |
2 |
Correct |
4 ms |
22876 KB |
Output is correct |
3 |
Correct |
4 ms |
22876 KB |
Output is correct |
4 |
Correct |
4 ms |
23040 KB |
Output is correct |
5 |
Correct |
5 ms |
22876 KB |
Output is correct |
6 |
Correct |
4 ms |
22876 KB |
Output is correct |
7 |
Correct |
4 ms |
22876 KB |
Output is correct |
8 |
Correct |
4 ms |
22876 KB |
Output is correct |
9 |
Correct |
4 ms |
22876 KB |
Output is correct |
10 |
Correct |
4 ms |
22876 KB |
Output is correct |
11 |
Correct |
5 ms |
23132 KB |
Output is correct |
12 |
Correct |
5 ms |
23132 KB |
Output is correct |
13 |
Correct |
7 ms |
23212 KB |
Output is correct |
14 |
Correct |
5 ms |
23132 KB |
Output is correct |
15 |
Correct |
6 ms |
22980 KB |
Output is correct |
16 |
Correct |
5 ms |
23132 KB |
Output is correct |
17 |
Correct |
6 ms |
23132 KB |
Output is correct |
18 |
Correct |
5 ms |
23132 KB |
Output is correct |
19 |
Correct |
5 ms |
22968 KB |
Output is correct |
20 |
Correct |
5 ms |
23132 KB |
Output is correct |
21 |
Correct |
5 ms |
23132 KB |
Output is correct |
22 |
Correct |
5 ms |
23132 KB |
Output is correct |
23 |
Correct |
5 ms |
23132 KB |
Output is correct |
24 |
Correct |
5 ms |
23128 KB |
Output is correct |
25 |
Correct |
5 ms |
23128 KB |
Output is correct |
26 |
Correct |
5 ms |
23208 KB |
Output is correct |
27 |
Correct |
5 ms |
23132 KB |
Output is correct |
28 |
Correct |
5 ms |
23132 KB |
Output is correct |
29 |
Correct |
5 ms |
23384 KB |
Output is correct |
30 |
Correct |
5 ms |
23132 KB |
Output is correct |
31 |
Correct |
255 ms |
97620 KB |
Output is correct |
32 |
Correct |
113 ms |
96760 KB |
Output is correct |
33 |
Correct |
211 ms |
96588 KB |
Output is correct |
34 |
Correct |
113 ms |
96848 KB |
Output is correct |
35 |
Correct |
267 ms |
97484 KB |
Output is correct |
36 |
Correct |
108 ms |
96636 KB |
Output is correct |
37 |
Correct |
220 ms |
95564 KB |
Output is correct |
38 |
Correct |
117 ms |
96040 KB |
Output is correct |
39 |
Correct |
225 ms |
94548 KB |
Output is correct |
40 |
Correct |
192 ms |
93460 KB |
Output is correct |
41 |
Correct |
213 ms |
98388 KB |
Output is correct |
42 |
Correct |
217 ms |
99228 KB |
Output is correct |
43 |
Correct |
177 ms |
97016 KB |
Output is correct |
44 |
Correct |
213 ms |
99608 KB |
Output is correct |
45 |
Correct |
194 ms |
99440 KB |
Output is correct |
46 |
Correct |
200 ms |
97492 KB |
Output is correct |
47 |
Correct |
193 ms |
97900 KB |
Output is correct |
48 |
Correct |
184 ms |
98076 KB |
Output is correct |
49 |
Correct |
191 ms |
99120 KB |
Output is correct |
50 |
Correct |
195 ms |
99840 KB |
Output is correct |
51 |
Correct |
5 ms |
22872 KB |
Output is correct |
52 |
Correct |
211 ms |
97360 KB |
Output is correct |
53 |
Correct |
186 ms |
97340 KB |
Output is correct |
54 |
Correct |
196 ms |
97284 KB |
Output is correct |
55 |
Correct |
184 ms |
97364 KB |
Output is correct |
56 |
Correct |
177 ms |
97328 KB |
Output is correct |
57 |
Correct |
239 ms |
97200 KB |
Output is correct |
58 |
Correct |
186 ms |
97216 KB |
Output is correct |
59 |
Correct |
194 ms |
97364 KB |
Output is correct |
60 |
Correct |
272 ms |
96820 KB |
Output is correct |
61 |
Correct |
227 ms |
96848 KB |
Output is correct |
62 |
Correct |
133 ms |
100296 KB |
Output is correct |
63 |
Correct |
108 ms |
100468 KB |
Output is correct |
64 |
Correct |
109 ms |
99840 KB |
Output is correct |
65 |
Correct |
109 ms |
100276 KB |
Output is correct |
66 |
Correct |
174 ms |
96196 KB |
Output is correct |
67 |
Correct |
155 ms |
95936 KB |
Output is correct |
68 |
Correct |
181 ms |
96196 KB |
Output is correct |
69 |
Correct |
167 ms |
96192 KB |
Output is correct |
70 |
Correct |
167 ms |
95936 KB |
Output is correct |
71 |
Correct |
166 ms |
96168 KB |
Output is correct |
72 |
Correct |
179 ms |
96204 KB |
Output is correct |
73 |
Correct |
196 ms |
95812 KB |
Output is correct |
74 |
Correct |
184 ms |
96016 KB |
Output is correct |
75 |
Correct |
215 ms |
96452 KB |
Output is correct |
76 |
Correct |
217 ms |
100208 KB |
Output is correct |
77 |
Correct |
199 ms |
100204 KB |
Output is correct |
78 |
Correct |
237 ms |
97876 KB |
Output is correct |
79 |
Correct |
221 ms |
96880 KB |
Output is correct |
80 |
Correct |
213 ms |
99456 KB |
Output is correct |
81 |
Correct |
204 ms |
98272 KB |
Output is correct |
82 |
Correct |
214 ms |
98276 KB |
Output is correct |
83 |
Correct |
177 ms |
97012 KB |
Output is correct |
84 |
Correct |
202 ms |
99300 KB |
Output is correct |
85 |
Correct |
187 ms |
98624 KB |
Output is correct |
86 |
Correct |
179 ms |
97040 KB |
Output is correct |
87 |
Correct |
171 ms |
97572 KB |
Output is correct |
88 |
Correct |
183 ms |
98388 KB |
Output is correct |
89 |
Correct |
189 ms |
96852 KB |
Output is correct |
90 |
Correct |
175 ms |
96680 KB |
Output is correct |
91 |
Correct |
189 ms |
97508 KB |
Output is correct |
92 |
Correct |
182 ms |
97528 KB |
Output is correct |
93 |
Correct |
180 ms |
97040 KB |
Output is correct |
94 |
Correct |
186 ms |
96724 KB |
Output is correct |
95 |
Correct |
188 ms |
97388 KB |
Output is correct |
96 |
Correct |
185 ms |
97128 KB |
Output is correct |
97 |
Correct |
193 ms |
97668 KB |
Output is correct |