///In the name of GOD
//#pragma GCC optimize("O2")
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MXN = 4e5 + 10;
ll n, k, ans = 1e9;
ll A[MXN], sub[MXN], dad[MXN], Cnt[MXN], All[MXN];
vector<ll> adj[MXN], Ver[MXN], vec, col;
bool hide[MXN], bad[MXN], mark[MXN], vis[MXN];
void plant(ll u, ll par){
sub[u] = 1;
for(auto v : adj[u]){
if(v != par && !hide[v]){
plant(v, u), sub[u] += sub[v];
}
}
}
void Pre(ll u, ll par, ll dt){
dad[u] = par, mark[u] = 0;
if(dt == +1 && Cnt[A[u]] == 0) col.push_back(A[u]);
if(dt == +1) Cnt[A[u]] ++;
else Cnt[A[u]] = 0;
for(auto v : adj[u]){
if(v != par && !hide[v]) Pre(v, u, dt);
}
}
ll CRD(ll u, ll par, ll val){
for(auto v : adj[u]){
if(v == par || hide[v]) continue;
if(sub[v] >= val) return CRD(v, u, val);
}
return u;
}
void DMS(ll u, ll h){
plant(u, -1);
ll cent = CRD(u, -1, (sub[u] + 1) / 2);//attention
col.clear(), vec.clear();
Pre(cent, -1, +1);
for(auto c : col){
if(Cnt[c] != All[c]) bad[c] = 1;
else bad[c] = 0;
vis[c] = 0;
}
if(!bad[A[cent]]){
vec.push_back(cent);
ll tot = 0, pnt = 0; bool ok = 1;
while(pnt < vec.size()){
ll now = vec[pnt]; pnt ++;
if(mark[now] || now == -1) continue;
ll vr = now;
while(vr != -1 && !mark[vr]){
mark[vr] = 1;
if(!vis[A[vr]]){
tot ++; vis[A[vr]] = 1;
ok &= (!bad[A[vr]]);
if(!ok) break;
for(auto X : Ver[A[vr]]){
if(X == vr){
assert(mark[X]);
continue;
}
assert(!mark[X]);
vec.push_back(X);
}
}
if(!ok) break;
vr = dad[vr];
}
if(!ok) break;
}
for(auto c : col) vis[c] = 0;
if(ok) ans = min(ans, tot);
}
col.clear(), Pre(cent, -1, -1);
hide[cent] = 1;
for(auto v : adj[cent]){
if(!hide[v]) DMS(v, h + 1);
}
}
int main(){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
cin >> n >> k;
for(int i = 1; i < n; i ++){
ll u, v; cin >> u >> v;
adj[u].push_back(v), adj[v].push_back(u);
}
for(int i = 1; i <= n; i ++){
cin >> A[i], All[A[i]] ++;
Ver[A[i]].push_back(i);
}
DMS(1, 0);
cout << ans - 1 << '\n';
return 0;
}
/*!
HE'S AN INSTIGATOR,
ENEMY ELIMINATOR,
AND WHEN HE KNOCKS YOU BETTER
YOU BETTER LET HIM IN.
*/
//! N.N
Compilation message
capital_city.cpp: In function 'void DMS(ll, ll)':
capital_city.cpp:49:19: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
49 | while(pnt < vec.size()){
| ~~~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
19180 KB |
Output is correct |
2 |
Correct |
15 ms |
19180 KB |
Output is correct |
3 |
Correct |
13 ms |
19180 KB |
Output is correct |
4 |
Correct |
14 ms |
19180 KB |
Output is correct |
5 |
Correct |
13 ms |
19180 KB |
Output is correct |
6 |
Correct |
14 ms |
19180 KB |
Output is correct |
7 |
Correct |
14 ms |
19180 KB |
Output is correct |
8 |
Correct |
14 ms |
19180 KB |
Output is correct |
9 |
Correct |
13 ms |
19180 KB |
Output is correct |
10 |
Correct |
13 ms |
19180 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
19180 KB |
Output is correct |
2 |
Correct |
15 ms |
19180 KB |
Output is correct |
3 |
Correct |
13 ms |
19180 KB |
Output is correct |
4 |
Correct |
14 ms |
19180 KB |
Output is correct |
5 |
Correct |
13 ms |
19180 KB |
Output is correct |
6 |
Correct |
14 ms |
19180 KB |
Output is correct |
7 |
Correct |
14 ms |
19180 KB |
Output is correct |
8 |
Correct |
14 ms |
19180 KB |
Output is correct |
9 |
Correct |
13 ms |
19180 KB |
Output is correct |
10 |
Correct |
13 ms |
19180 KB |
Output is correct |
11 |
Correct |
15 ms |
19436 KB |
Output is correct |
12 |
Correct |
15 ms |
19456 KB |
Output is correct |
13 |
Correct |
15 ms |
19436 KB |
Output is correct |
14 |
Correct |
15 ms |
19436 KB |
Output is correct |
15 |
Correct |
15 ms |
19436 KB |
Output is correct |
16 |
Correct |
15 ms |
19436 KB |
Output is correct |
17 |
Correct |
15 ms |
19436 KB |
Output is correct |
18 |
Correct |
15 ms |
19436 KB |
Output is correct |
19 |
Correct |
15 ms |
19436 KB |
Output is correct |
20 |
Correct |
15 ms |
19436 KB |
Output is correct |
21 |
Correct |
15 ms |
19436 KB |
Output is correct |
22 |
Correct |
15 ms |
19436 KB |
Output is correct |
23 |
Correct |
15 ms |
19436 KB |
Output is correct |
24 |
Correct |
16 ms |
19436 KB |
Output is correct |
25 |
Correct |
16 ms |
19436 KB |
Output is correct |
26 |
Correct |
16 ms |
19436 KB |
Output is correct |
27 |
Correct |
16 ms |
19436 KB |
Output is correct |
28 |
Correct |
16 ms |
19436 KB |
Output is correct |
29 |
Correct |
17 ms |
19436 KB |
Output is correct |
30 |
Correct |
16 ms |
19436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
934 ms |
52132 KB |
Output is correct |
2 |
Correct |
273 ms |
52708 KB |
Output is correct |
3 |
Correct |
942 ms |
51940 KB |
Output is correct |
4 |
Correct |
264 ms |
52580 KB |
Output is correct |
5 |
Correct |
910 ms |
49508 KB |
Output is correct |
6 |
Correct |
271 ms |
52700 KB |
Output is correct |
7 |
Correct |
913 ms |
49548 KB |
Output is correct |
8 |
Correct |
265 ms |
52064 KB |
Output is correct |
9 |
Correct |
1035 ms |
48624 KB |
Output is correct |
10 |
Correct |
1051 ms |
46436 KB |
Output is correct |
11 |
Correct |
1071 ms |
48888 KB |
Output is correct |
12 |
Correct |
1109 ms |
50964 KB |
Output is correct |
13 |
Correct |
1091 ms |
45800 KB |
Output is correct |
14 |
Correct |
1108 ms |
51392 KB |
Output is correct |
15 |
Correct |
1127 ms |
51004 KB |
Output is correct |
16 |
Correct |
1084 ms |
47128 KB |
Output is correct |
17 |
Correct |
1126 ms |
47520 KB |
Output is correct |
18 |
Correct |
1101 ms |
47592 KB |
Output is correct |
19 |
Correct |
1109 ms |
49956 KB |
Output is correct |
20 |
Correct |
1105 ms |
51668 KB |
Output is correct |
21 |
Correct |
14 ms |
19180 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
19180 KB |
Output is correct |
2 |
Correct |
15 ms |
19180 KB |
Output is correct |
3 |
Correct |
13 ms |
19180 KB |
Output is correct |
4 |
Correct |
14 ms |
19180 KB |
Output is correct |
5 |
Correct |
13 ms |
19180 KB |
Output is correct |
6 |
Correct |
14 ms |
19180 KB |
Output is correct |
7 |
Correct |
14 ms |
19180 KB |
Output is correct |
8 |
Correct |
14 ms |
19180 KB |
Output is correct |
9 |
Correct |
13 ms |
19180 KB |
Output is correct |
10 |
Correct |
13 ms |
19180 KB |
Output is correct |
11 |
Correct |
15 ms |
19436 KB |
Output is correct |
12 |
Correct |
15 ms |
19456 KB |
Output is correct |
13 |
Correct |
15 ms |
19436 KB |
Output is correct |
14 |
Correct |
15 ms |
19436 KB |
Output is correct |
15 |
Correct |
15 ms |
19436 KB |
Output is correct |
16 |
Correct |
15 ms |
19436 KB |
Output is correct |
17 |
Correct |
15 ms |
19436 KB |
Output is correct |
18 |
Correct |
15 ms |
19436 KB |
Output is correct |
19 |
Correct |
15 ms |
19436 KB |
Output is correct |
20 |
Correct |
15 ms |
19436 KB |
Output is correct |
21 |
Correct |
15 ms |
19436 KB |
Output is correct |
22 |
Correct |
15 ms |
19436 KB |
Output is correct |
23 |
Correct |
15 ms |
19436 KB |
Output is correct |
24 |
Correct |
16 ms |
19436 KB |
Output is correct |
25 |
Correct |
16 ms |
19436 KB |
Output is correct |
26 |
Correct |
16 ms |
19436 KB |
Output is correct |
27 |
Correct |
16 ms |
19436 KB |
Output is correct |
28 |
Correct |
16 ms |
19436 KB |
Output is correct |
29 |
Correct |
17 ms |
19436 KB |
Output is correct |
30 |
Correct |
16 ms |
19436 KB |
Output is correct |
31 |
Correct |
934 ms |
52132 KB |
Output is correct |
32 |
Correct |
273 ms |
52708 KB |
Output is correct |
33 |
Correct |
942 ms |
51940 KB |
Output is correct |
34 |
Correct |
264 ms |
52580 KB |
Output is correct |
35 |
Correct |
910 ms |
49508 KB |
Output is correct |
36 |
Correct |
271 ms |
52700 KB |
Output is correct |
37 |
Correct |
913 ms |
49548 KB |
Output is correct |
38 |
Correct |
265 ms |
52064 KB |
Output is correct |
39 |
Correct |
1035 ms |
48624 KB |
Output is correct |
40 |
Correct |
1051 ms |
46436 KB |
Output is correct |
41 |
Correct |
1071 ms |
48888 KB |
Output is correct |
42 |
Correct |
1109 ms |
50964 KB |
Output is correct |
43 |
Correct |
1091 ms |
45800 KB |
Output is correct |
44 |
Correct |
1108 ms |
51392 KB |
Output is correct |
45 |
Correct |
1127 ms |
51004 KB |
Output is correct |
46 |
Correct |
1084 ms |
47128 KB |
Output is correct |
47 |
Correct |
1126 ms |
47520 KB |
Output is correct |
48 |
Correct |
1101 ms |
47592 KB |
Output is correct |
49 |
Correct |
1109 ms |
49956 KB |
Output is correct |
50 |
Correct |
1105 ms |
51668 KB |
Output is correct |
51 |
Correct |
14 ms |
19180 KB |
Output is correct |
52 |
Correct |
718 ms |
40544 KB |
Output is correct |
53 |
Correct |
799 ms |
40484 KB |
Output is correct |
54 |
Correct |
790 ms |
40476 KB |
Output is correct |
55 |
Correct |
846 ms |
40416 KB |
Output is correct |
56 |
Correct |
795 ms |
40420 KB |
Output is correct |
57 |
Correct |
806 ms |
40432 KB |
Output is correct |
58 |
Correct |
792 ms |
43224 KB |
Output is correct |
59 |
Correct |
871 ms |
44096 KB |
Output is correct |
60 |
Correct |
1051 ms |
42816 KB |
Output is correct |
61 |
Correct |
986 ms |
42476 KB |
Output is correct |
62 |
Correct |
318 ms |
52580 KB |
Output is correct |
63 |
Correct |
274 ms |
52564 KB |
Output is correct |
64 |
Correct |
268 ms |
52064 KB |
Output is correct |
65 |
Correct |
268 ms |
52524 KB |
Output is correct |
66 |
Correct |
592 ms |
46884 KB |
Output is correct |
67 |
Correct |
637 ms |
46688 KB |
Output is correct |
68 |
Correct |
632 ms |
46816 KB |
Output is correct |
69 |
Correct |
566 ms |
46792 KB |
Output is correct |
70 |
Correct |
599 ms |
46688 KB |
Output is correct |
71 |
Correct |
543 ms |
46816 KB |
Output is correct |
72 |
Correct |
567 ms |
46788 KB |
Output is correct |
73 |
Correct |
581 ms |
46084 KB |
Output is correct |
74 |
Correct |
533 ms |
46816 KB |
Output is correct |
75 |
Correct |
597 ms |
46816 KB |
Output is correct |
76 |
Correct |
922 ms |
46820 KB |
Output is correct |
77 |
Correct |
970 ms |
45028 KB |
Output is correct |
78 |
Correct |
1079 ms |
47208 KB |
Output is correct |
79 |
Correct |
1106 ms |
45284 KB |
Output is correct |
80 |
Correct |
1121 ms |
50908 KB |
Output is correct |
81 |
Correct |
1131 ms |
48260 KB |
Output is correct |
82 |
Correct |
1151 ms |
48388 KB |
Output is correct |
83 |
Correct |
1088 ms |
46052 KB |
Output is correct |
84 |
Correct |
1157 ms |
50596 KB |
Output is correct |
85 |
Correct |
1138 ms |
49636 KB |
Output is correct |
86 |
Correct |
1115 ms |
45284 KB |
Output is correct |
87 |
Correct |
1140 ms |
46724 KB |
Output is correct |
88 |
Correct |
971 ms |
48300 KB |
Output is correct |
89 |
Correct |
908 ms |
44912 KB |
Output is correct |
90 |
Correct |
888 ms |
44760 KB |
Output is correct |
91 |
Correct |
937 ms |
46436 KB |
Output is correct |
92 |
Correct |
898 ms |
46088 KB |
Output is correct |
93 |
Correct |
925 ms |
45424 KB |
Output is correct |
94 |
Correct |
954 ms |
44964 KB |
Output is correct |
95 |
Correct |
975 ms |
46084 KB |
Output is correct |
96 |
Correct |
937 ms |
45540 KB |
Output is correct |
97 |
Correct |
947 ms |
47204 KB |
Output is correct |