#include<bits/stdc++.h>
using namespace std;
#define int long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
struct line{
int a,b;
int operator()(const int x)const{
return a*x+b;
}
};
bool check(line l1,line l2,line l3){
return (l3.b-l2.b)*(l1.a-l2.a)<=(l2.b-l1.b)*(l2.a-l3.a);
}
const int mxn=2e5+5;
vector<int>adj[mxn];
vector<int>g[mxn];
int c[mxn];
bool vis[mxn];
int cnt[mxn];
bool used[mxn];
bool in[mxn];
int p[mxn];
vector<int>sir;
void cnt_sz(int v,int pa){
cnt[v]=1;
in[v]=1;
sir.pb(v);
for(auto u:adj[v]){
if(u==pa or vis[u])continue;
cnt_sz(u,v);
cnt[v]+=cnt[u];
}
}
int find(int v,int pa,int tar){
for(auto u:adj[v]){
if(vis[u] or u==pa)continue;
if(cnt[u]*2>tar)return find(u,v,tar);
}
return v;
}
void calc_pa(int v,int pa){
p[v]=pa;
for(auto u:adj[v]){
if(vis[u] or u==pa)continue;
calc_pa(u,v);
}
}
int ans;
void cen(int v){
cnt_sz(v,v);
v=find(v,v,cnt[v]);
calc_pa(v,v);
debug(v);
vis[v]=1;
queue<int>q;
q.push(c[v]);
used[c[v]]=1;
vector<int>undo;
undo.pb(c[v]);
while(sz(q)){
int color=q.front();
q.pop();
for(auto u:g[color]){
if(!in[u]){
goto done;
}
if(p[u]!=u and !used[c[p[u]]]){
q.push(c[p[u]]);
used[c[p[u]]]=1;
undo.pb(c[p[u]]);
}
}
}
chmin(ans,sz(undo)-1);
done:
while(sz(undo)){
used[undo.back()]=0;
undo.pop_back();
}
while(sz(sir)){
in[sir.back()]=0;
sir.pop_back();
}
for(auto u:adj[v]){
if(vis[u])continue;
cen(u);
}
}
signed main(){
setio();
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int n,k;
cin>>n>>k;
for(int i=1;i<n;i++){
int a,b;
cin>>a>>b;
adj[a].pb(b);
adj[b].pb(a);
}
for(int i=1;i<=n;i++){
cin>>c[i];
g[c[i]].pb(i);
}
ans=k-1;
cen(1);
cout<<ans<<'\n';
}
/*
input:
*/
Compilation message
capital_city.cpp: In function 'void setIO(std::string)':
capital_city.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
42 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:43:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
43 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14772 KB |
Output is correct |
3 |
Correct |
3 ms |
14940 KB |
Output is correct |
4 |
Correct |
3 ms |
15092 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
3 ms |
14940 KB |
Output is correct |
7 |
Correct |
3 ms |
14940 KB |
Output is correct |
8 |
Correct |
3 ms |
14940 KB |
Output is correct |
9 |
Correct |
3 ms |
14940 KB |
Output is correct |
10 |
Correct |
3 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14772 KB |
Output is correct |
3 |
Correct |
3 ms |
14940 KB |
Output is correct |
4 |
Correct |
3 ms |
15092 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
3 ms |
14940 KB |
Output is correct |
7 |
Correct |
3 ms |
14940 KB |
Output is correct |
8 |
Correct |
3 ms |
14940 KB |
Output is correct |
9 |
Correct |
3 ms |
14940 KB |
Output is correct |
10 |
Correct |
3 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14940 KB |
Output is correct |
14 |
Correct |
4 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
4 ms |
14936 KB |
Output is correct |
17 |
Correct |
3 ms |
14940 KB |
Output is correct |
18 |
Correct |
4 ms |
15196 KB |
Output is correct |
19 |
Correct |
5 ms |
15196 KB |
Output is correct |
20 |
Correct |
4 ms |
15196 KB |
Output is correct |
21 |
Correct |
4 ms |
15196 KB |
Output is correct |
22 |
Correct |
5 ms |
15196 KB |
Output is correct |
23 |
Correct |
4 ms |
15196 KB |
Output is correct |
24 |
Correct |
4 ms |
14940 KB |
Output is correct |
25 |
Correct |
4 ms |
15196 KB |
Output is correct |
26 |
Correct |
4 ms |
15192 KB |
Output is correct |
27 |
Correct |
4 ms |
15196 KB |
Output is correct |
28 |
Correct |
6 ms |
15192 KB |
Output is correct |
29 |
Correct |
5 ms |
15196 KB |
Output is correct |
30 |
Correct |
4 ms |
15196 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
299 ms |
41160 KB |
Output is correct |
2 |
Correct |
146 ms |
45536 KB |
Output is correct |
3 |
Correct |
319 ms |
44488 KB |
Output is correct |
4 |
Correct |
160 ms |
45508 KB |
Output is correct |
5 |
Correct |
333 ms |
41800 KB |
Output is correct |
6 |
Correct |
151 ms |
45380 KB |
Output is correct |
7 |
Correct |
300 ms |
42392 KB |
Output is correct |
8 |
Correct |
153 ms |
45332 KB |
Output is correct |
9 |
Correct |
405 ms |
41148 KB |
Output is correct |
10 |
Correct |
438 ms |
38856 KB |
Output is correct |
11 |
Correct |
422 ms |
41540 KB |
Output is correct |
12 |
Correct |
398 ms |
44156 KB |
Output is correct |
13 |
Correct |
484 ms |
38340 KB |
Output is correct |
14 |
Correct |
414 ms |
44572 KB |
Output is correct |
15 |
Correct |
426 ms |
44340 KB |
Output is correct |
16 |
Correct |
415 ms |
39200 KB |
Output is correct |
17 |
Correct |
436 ms |
39936 KB |
Output is correct |
18 |
Correct |
430 ms |
40016 KB |
Output is correct |
19 |
Correct |
461 ms |
43212 KB |
Output is correct |
20 |
Correct |
428 ms |
45108 KB |
Output is correct |
21 |
Correct |
3 ms |
14936 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14772 KB |
Output is correct |
3 |
Correct |
3 ms |
14940 KB |
Output is correct |
4 |
Correct |
3 ms |
15092 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
3 ms |
14940 KB |
Output is correct |
7 |
Correct |
3 ms |
14940 KB |
Output is correct |
8 |
Correct |
3 ms |
14940 KB |
Output is correct |
9 |
Correct |
3 ms |
14940 KB |
Output is correct |
10 |
Correct |
3 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14940 KB |
Output is correct |
14 |
Correct |
4 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
4 ms |
14936 KB |
Output is correct |
17 |
Correct |
3 ms |
14940 KB |
Output is correct |
18 |
Correct |
4 ms |
15196 KB |
Output is correct |
19 |
Correct |
5 ms |
15196 KB |
Output is correct |
20 |
Correct |
4 ms |
15196 KB |
Output is correct |
21 |
Correct |
4 ms |
15196 KB |
Output is correct |
22 |
Correct |
5 ms |
15196 KB |
Output is correct |
23 |
Correct |
4 ms |
15196 KB |
Output is correct |
24 |
Correct |
4 ms |
14940 KB |
Output is correct |
25 |
Correct |
4 ms |
15196 KB |
Output is correct |
26 |
Correct |
4 ms |
15192 KB |
Output is correct |
27 |
Correct |
4 ms |
15196 KB |
Output is correct |
28 |
Correct |
6 ms |
15192 KB |
Output is correct |
29 |
Correct |
5 ms |
15196 KB |
Output is correct |
30 |
Correct |
4 ms |
15196 KB |
Output is correct |
31 |
Correct |
299 ms |
41160 KB |
Output is correct |
32 |
Correct |
146 ms |
45536 KB |
Output is correct |
33 |
Correct |
319 ms |
44488 KB |
Output is correct |
34 |
Correct |
160 ms |
45508 KB |
Output is correct |
35 |
Correct |
333 ms |
41800 KB |
Output is correct |
36 |
Correct |
151 ms |
45380 KB |
Output is correct |
37 |
Correct |
300 ms |
42392 KB |
Output is correct |
38 |
Correct |
153 ms |
45332 KB |
Output is correct |
39 |
Correct |
405 ms |
41148 KB |
Output is correct |
40 |
Correct |
438 ms |
38856 KB |
Output is correct |
41 |
Correct |
422 ms |
41540 KB |
Output is correct |
42 |
Correct |
398 ms |
44156 KB |
Output is correct |
43 |
Correct |
484 ms |
38340 KB |
Output is correct |
44 |
Correct |
414 ms |
44572 KB |
Output is correct |
45 |
Correct |
426 ms |
44340 KB |
Output is correct |
46 |
Correct |
415 ms |
39200 KB |
Output is correct |
47 |
Correct |
436 ms |
39936 KB |
Output is correct |
48 |
Correct |
430 ms |
40016 KB |
Output is correct |
49 |
Correct |
461 ms |
43212 KB |
Output is correct |
50 |
Correct |
428 ms |
45108 KB |
Output is correct |
51 |
Correct |
3 ms |
14936 KB |
Output is correct |
52 |
Correct |
307 ms |
30788 KB |
Output is correct |
53 |
Correct |
334 ms |
30664 KB |
Output is correct |
54 |
Correct |
309 ms |
30728 KB |
Output is correct |
55 |
Correct |
306 ms |
30744 KB |
Output is correct |
56 |
Correct |
281 ms |
30656 KB |
Output is correct |
57 |
Correct |
327 ms |
30616 KB |
Output is correct |
58 |
Correct |
299 ms |
34168 KB |
Output is correct |
59 |
Correct |
268 ms |
34768 KB |
Output is correct |
60 |
Correct |
316 ms |
33148 KB |
Output is correct |
61 |
Correct |
308 ms |
32908 KB |
Output is correct |
62 |
Correct |
143 ms |
45528 KB |
Output is correct |
63 |
Correct |
140 ms |
45508 KB |
Output is correct |
64 |
Correct |
140 ms |
45524 KB |
Output is correct |
65 |
Correct |
144 ms |
45512 KB |
Output is correct |
66 |
Correct |
218 ms |
39056 KB |
Output is correct |
67 |
Correct |
202 ms |
38592 KB |
Output is correct |
68 |
Correct |
205 ms |
38964 KB |
Output is correct |
69 |
Correct |
209 ms |
38852 KB |
Output is correct |
70 |
Correct |
258 ms |
38936 KB |
Output is correct |
71 |
Correct |
232 ms |
38852 KB |
Output is correct |
72 |
Correct |
252 ms |
38848 KB |
Output is correct |
73 |
Correct |
187 ms |
38080 KB |
Output is correct |
74 |
Correct |
210 ms |
38852 KB |
Output is correct |
75 |
Correct |
216 ms |
38808 KB |
Output is correct |
76 |
Correct |
295 ms |
37644 KB |
Output is correct |
77 |
Correct |
305 ms |
35776 KB |
Output is correct |
78 |
Correct |
346 ms |
39912 KB |
Output is correct |
79 |
Correct |
347 ms |
37820 KB |
Output is correct |
80 |
Correct |
413 ms |
44856 KB |
Output is correct |
81 |
Correct |
391 ms |
41412 KB |
Output is correct |
82 |
Correct |
340 ms |
41408 KB |
Output is correct |
83 |
Correct |
427 ms |
38080 KB |
Output is correct |
84 |
Correct |
361 ms |
44204 KB |
Output is correct |
85 |
Correct |
391 ms |
42380 KB |
Output is correct |
86 |
Correct |
380 ms |
37772 KB |
Output is correct |
87 |
Correct |
329 ms |
39592 KB |
Output is correct |
88 |
Correct |
303 ms |
40808 KB |
Output is correct |
89 |
Correct |
304 ms |
36816 KB |
Output is correct |
90 |
Correct |
346 ms |
36536 KB |
Output is correct |
91 |
Correct |
329 ms |
39104 KB |
Output is correct |
92 |
Correct |
381 ms |
37620 KB |
Output is correct |
93 |
Correct |
290 ms |
37372 KB |
Output is correct |
94 |
Correct |
287 ms |
36652 KB |
Output is correct |
95 |
Correct |
305 ms |
38288 KB |
Output is correct |
96 |
Correct |
337 ms |
36980 KB |
Output is correct |
97 |
Correct |
295 ms |
39108 KB |
Output is correct |