#include<bits/stdc++.h>
#define ll long long
#define f first
#define s second
#define pb push_back
#define N 200005
using namespace std;
ll ans,ch[N],p[N],siz,center,fi[N],fix[N],ra[N],raod[N],c[N],n,k;
vector<ll>ver,v[N],fer[N];
queue<ll>q;
void calc(ll x,ll par){
ch[x] = 1;
siz++;
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par && !fix[v[x][i]]){
calc(v[x][i] , x);
ch[x] += ch[v[x][i]];
}
}
void findcenter(ll x,ll par){
if(center)return;
for(int i=0; i<v[x].size(); i++)
if(!fix[v[x][i]] && v[x][i] != par && ch[v[x][i]] >= (siz / 2))
findcenter(v[x][i] , x);
if(!center)center = x;
}
void go(ll x,ll par){
ra[c[x]]++;
fer[c[x]].pb(x);
p[x] = par;
ver.pb(x);
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par && !fix[v[x][i]])
go(v[x][i] , x);
}
void solve(ll x){
siz = 0;
calc(x , 0);
center = 0;
findcenter(x , 0);
x = center;
ver.clear();
go(x , 0);
while(q.size())q.pop();
for(int i=0; i<ver.size(); i++){
if(c[ver[i]] == c[x]){
fi[ver[i]] = 1;
q.push(ver[i]);
}
}
bool yep = true;
ll val = 0;
while(q.size()){
int t = q.front();
q.pop();
if(ra[c[t]] != raod[c[t]]){
yep = false;
break;
}
if(fi[p[t]] == 0 && p[t] != 0){
val++;
for(int i=0; i<fer[c[p[t]]].size(); i++){
int cur = fer[c[p[t]]][i];
fi[cur] = 1;
q.push(cur);
}
}
}
if(yep){
ans = min(ans , val);
}
for(int i=0; i<ver.size(); i++){
ra[c[ver[i]]] = 0;
fer[c[ver[i]]].clear();
fi[ver[i]] = 0;
}
fix[x] = 1;
for(int i=0; i<v[x].size(); i++)
if(!fix[v[x][i]])
solve(v[x][i]);
}
int main(){
ios::sync_with_stdio(false);
cin >> n >> k;
ans = k;
for(int i=1; i<n; i++){
ll x,y;
cin >> x >> y;
v[x].pb(y);
v[y].pb(x);
}
for(int i=1; i<=n; i++){
cin >> c[i];
raod[c[i]]++;
}
solve(1);
cout << ans << '\n';
return 0;
}
Compilation message
capital_city.cpp: In function 'void calc(long long int, long long int)':
capital_city.cpp:14:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
capital_city.cpp: In function 'void findcenter(long long int, long long int)':
capital_city.cpp:22:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
capital_city.cpp: In function 'void go(long long int, long long int)':
capital_city.cpp:32:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
capital_city.cpp: In function 'void solve(long long int)':
capital_city.cpp:45:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<ver.size(); i++){
~^~~~~~~~~~~
capital_city.cpp:62:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<fer[c[p[t]]].size(); i++){
~^~~~~~~~~~~~~~~~~~~~
capital_city.cpp:72:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<ver.size(); i++){
~^~~~~~~~~~~
capital_city.cpp:78:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
9728 KB |
Output is correct |
2 |
Correct |
10 ms |
9856 KB |
Output is correct |
3 |
Correct |
12 ms |
9728 KB |
Output is correct |
4 |
Correct |
10 ms |
9728 KB |
Output is correct |
5 |
Correct |
10 ms |
9728 KB |
Output is correct |
6 |
Correct |
10 ms |
9728 KB |
Output is correct |
7 |
Correct |
10 ms |
9728 KB |
Output is correct |
8 |
Correct |
10 ms |
9728 KB |
Output is correct |
9 |
Correct |
10 ms |
9728 KB |
Output is correct |
10 |
Correct |
10 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
9728 KB |
Output is correct |
2 |
Correct |
10 ms |
9856 KB |
Output is correct |
3 |
Correct |
12 ms |
9728 KB |
Output is correct |
4 |
Correct |
10 ms |
9728 KB |
Output is correct |
5 |
Correct |
10 ms |
9728 KB |
Output is correct |
6 |
Correct |
10 ms |
9728 KB |
Output is correct |
7 |
Correct |
10 ms |
9728 KB |
Output is correct |
8 |
Correct |
10 ms |
9728 KB |
Output is correct |
9 |
Correct |
10 ms |
9728 KB |
Output is correct |
10 |
Correct |
10 ms |
9856 KB |
Output is correct |
11 |
Correct |
12 ms |
9984 KB |
Output is correct |
12 |
Correct |
12 ms |
9984 KB |
Output is correct |
13 |
Correct |
12 ms |
9984 KB |
Output is correct |
14 |
Correct |
12 ms |
9984 KB |
Output is correct |
15 |
Correct |
12 ms |
10112 KB |
Output is correct |
16 |
Correct |
12 ms |
9984 KB |
Output is correct |
17 |
Correct |
12 ms |
9984 KB |
Output is correct |
18 |
Correct |
12 ms |
9984 KB |
Output is correct |
19 |
Correct |
12 ms |
10112 KB |
Output is correct |
20 |
Correct |
12 ms |
9984 KB |
Output is correct |
21 |
Correct |
11 ms |
10112 KB |
Output is correct |
22 |
Correct |
12 ms |
10112 KB |
Output is correct |
23 |
Correct |
13 ms |
9980 KB |
Output is correct |
24 |
Correct |
12 ms |
9984 KB |
Output is correct |
25 |
Correct |
13 ms |
9984 KB |
Output is correct |
26 |
Correct |
13 ms |
9984 KB |
Output is correct |
27 |
Correct |
16 ms |
9984 KB |
Output is correct |
28 |
Correct |
12 ms |
9984 KB |
Output is correct |
29 |
Correct |
15 ms |
9984 KB |
Output is correct |
30 |
Correct |
12 ms |
9984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1039 ms |
39192 KB |
Output is correct |
2 |
Correct |
287 ms |
39472 KB |
Output is correct |
3 |
Correct |
1014 ms |
39268 KB |
Output is correct |
4 |
Correct |
293 ms |
39704 KB |
Output is correct |
5 |
Correct |
985 ms |
37220 KB |
Output is correct |
6 |
Correct |
285 ms |
39524 KB |
Output is correct |
7 |
Correct |
974 ms |
37476 KB |
Output is correct |
8 |
Correct |
310 ms |
39284 KB |
Output is correct |
9 |
Correct |
980 ms |
36044 KB |
Output is correct |
10 |
Correct |
1002 ms |
34532 KB |
Output is correct |
11 |
Correct |
978 ms |
36196 KB |
Output is correct |
12 |
Correct |
982 ms |
37732 KB |
Output is correct |
13 |
Correct |
966 ms |
34148 KB |
Output is correct |
14 |
Correct |
991 ms |
38124 KB |
Output is correct |
15 |
Correct |
989 ms |
37732 KB |
Output is correct |
16 |
Correct |
971 ms |
34916 KB |
Output is correct |
17 |
Correct |
974 ms |
35172 KB |
Output is correct |
18 |
Correct |
973 ms |
35300 KB |
Output is correct |
19 |
Correct |
980 ms |
36964 KB |
Output is correct |
20 |
Correct |
989 ms |
38372 KB |
Output is correct |
21 |
Correct |
10 ms |
9728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
9728 KB |
Output is correct |
2 |
Correct |
10 ms |
9856 KB |
Output is correct |
3 |
Correct |
12 ms |
9728 KB |
Output is correct |
4 |
Correct |
10 ms |
9728 KB |
Output is correct |
5 |
Correct |
10 ms |
9728 KB |
Output is correct |
6 |
Correct |
10 ms |
9728 KB |
Output is correct |
7 |
Correct |
10 ms |
9728 KB |
Output is correct |
8 |
Correct |
10 ms |
9728 KB |
Output is correct |
9 |
Correct |
10 ms |
9728 KB |
Output is correct |
10 |
Correct |
10 ms |
9856 KB |
Output is correct |
11 |
Correct |
12 ms |
9984 KB |
Output is correct |
12 |
Correct |
12 ms |
9984 KB |
Output is correct |
13 |
Correct |
12 ms |
9984 KB |
Output is correct |
14 |
Correct |
12 ms |
9984 KB |
Output is correct |
15 |
Correct |
12 ms |
10112 KB |
Output is correct |
16 |
Correct |
12 ms |
9984 KB |
Output is correct |
17 |
Correct |
12 ms |
9984 KB |
Output is correct |
18 |
Correct |
12 ms |
9984 KB |
Output is correct |
19 |
Correct |
12 ms |
10112 KB |
Output is correct |
20 |
Correct |
12 ms |
9984 KB |
Output is correct |
21 |
Correct |
11 ms |
10112 KB |
Output is correct |
22 |
Correct |
12 ms |
10112 KB |
Output is correct |
23 |
Correct |
13 ms |
9980 KB |
Output is correct |
24 |
Correct |
12 ms |
9984 KB |
Output is correct |
25 |
Correct |
13 ms |
9984 KB |
Output is correct |
26 |
Correct |
13 ms |
9984 KB |
Output is correct |
27 |
Correct |
16 ms |
9984 KB |
Output is correct |
28 |
Correct |
12 ms |
9984 KB |
Output is correct |
29 |
Correct |
15 ms |
9984 KB |
Output is correct |
30 |
Correct |
12 ms |
9984 KB |
Output is correct |
31 |
Correct |
1039 ms |
39192 KB |
Output is correct |
32 |
Correct |
287 ms |
39472 KB |
Output is correct |
33 |
Correct |
1014 ms |
39268 KB |
Output is correct |
34 |
Correct |
293 ms |
39704 KB |
Output is correct |
35 |
Correct |
985 ms |
37220 KB |
Output is correct |
36 |
Correct |
285 ms |
39524 KB |
Output is correct |
37 |
Correct |
974 ms |
37476 KB |
Output is correct |
38 |
Correct |
310 ms |
39284 KB |
Output is correct |
39 |
Correct |
980 ms |
36044 KB |
Output is correct |
40 |
Correct |
1002 ms |
34532 KB |
Output is correct |
41 |
Correct |
978 ms |
36196 KB |
Output is correct |
42 |
Correct |
982 ms |
37732 KB |
Output is correct |
43 |
Correct |
966 ms |
34148 KB |
Output is correct |
44 |
Correct |
991 ms |
38124 KB |
Output is correct |
45 |
Correct |
989 ms |
37732 KB |
Output is correct |
46 |
Correct |
971 ms |
34916 KB |
Output is correct |
47 |
Correct |
974 ms |
35172 KB |
Output is correct |
48 |
Correct |
973 ms |
35300 KB |
Output is correct |
49 |
Correct |
980 ms |
36964 KB |
Output is correct |
50 |
Correct |
989 ms |
38372 KB |
Output is correct |
51 |
Correct |
10 ms |
9728 KB |
Output is correct |
52 |
Correct |
643 ms |
30948 KB |
Output is correct |
53 |
Correct |
688 ms |
30820 KB |
Output is correct |
54 |
Correct |
668 ms |
30820 KB |
Output is correct |
55 |
Correct |
695 ms |
30960 KB |
Output is correct |
56 |
Correct |
688 ms |
30948 KB |
Output is correct |
57 |
Correct |
667 ms |
30948 KB |
Output is correct |
58 |
Correct |
753 ms |
32612 KB |
Output is correct |
59 |
Correct |
755 ms |
32872 KB |
Output is correct |
60 |
Correct |
991 ms |
32484 KB |
Output is correct |
61 |
Correct |
933 ms |
32104 KB |
Output is correct |
62 |
Correct |
288 ms |
39524 KB |
Output is correct |
63 |
Correct |
289 ms |
39524 KB |
Output is correct |
64 |
Correct |
293 ms |
39500 KB |
Output is correct |
65 |
Correct |
288 ms |
39396 KB |
Output is correct |
66 |
Correct |
532 ms |
34916 KB |
Output is correct |
67 |
Correct |
517 ms |
34832 KB |
Output is correct |
68 |
Correct |
522 ms |
34792 KB |
Output is correct |
69 |
Correct |
537 ms |
34912 KB |
Output is correct |
70 |
Correct |
530 ms |
34792 KB |
Output is correct |
71 |
Correct |
538 ms |
34916 KB |
Output is correct |
72 |
Correct |
547 ms |
34912 KB |
Output is correct |
73 |
Correct |
530 ms |
34276 KB |
Output is correct |
74 |
Correct |
556 ms |
34792 KB |
Output is correct |
75 |
Correct |
550 ms |
34792 KB |
Output is correct |
76 |
Correct |
899 ms |
35048 KB |
Output is correct |
77 |
Correct |
933 ms |
34020 KB |
Output is correct |
78 |
Correct |
982 ms |
35048 KB |
Output is correct |
79 |
Correct |
979 ms |
33764 KB |
Output is correct |
80 |
Correct |
981 ms |
38120 KB |
Output is correct |
81 |
Correct |
987 ms |
36076 KB |
Output is correct |
82 |
Correct |
1006 ms |
36068 KB |
Output is correct |
83 |
Correct |
988 ms |
34152 KB |
Output is correct |
84 |
Correct |
999 ms |
37604 KB |
Output is correct |
85 |
Correct |
981 ms |
36708 KB |
Output is correct |
86 |
Correct |
963 ms |
33764 KB |
Output is correct |
87 |
Correct |
994 ms |
35044 KB |
Output is correct |
88 |
Correct |
899 ms |
35940 KB |
Output is correct |
89 |
Correct |
888 ms |
33764 KB |
Output is correct |
90 |
Correct |
903 ms |
33740 KB |
Output is correct |
91 |
Correct |
911 ms |
35172 KB |
Output is correct |
92 |
Correct |
883 ms |
34148 KB |
Output is correct |
93 |
Correct |
874 ms |
34152 KB |
Output is correct |
94 |
Correct |
914 ms |
33740 KB |
Output is correct |
95 |
Correct |
911 ms |
34532 KB |
Output is correct |
96 |
Correct |
917 ms |
33680 KB |
Output is correct |
97 |
Correct |
886 ms |
34916 KB |
Output is correct |