#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using pi = pair<pair<int, int>, pair<int, int>>;
#define ff first
#define ss second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lb lower_bound
int N, K, res = 1e9 + 7, C[200005];
int cur[200005], par[200005], sz[200005];
bool used[200005], seen[200005];
vector<int> adj[200005], S[200005];
int dfs_size(int v, int p) {
sz[v] = 1; cur[C[v]] = 0; used[C[v]] = 0;
for(auto u : adj[v]) {
if(u == p || seen[u]) continue;
sz[v] += dfs_size(u, v);
}
return sz[v];
}
int dfs_centroid(int v, int p, int _N) {
for(auto u : adj[v]) {
if(u == p || seen[u]) continue;
if(sz[u] >= _N / 2)
return dfs_centroid(u, v, _N);
}
return v;
}
void dfs(int v, int p) {
par[v] = p; cur[C[v]]++;
for(auto u : adj[v]) {
if(u == p || seen[u]) continue;
dfs(u, v);
}
}
void build(int v) {
int _N = dfs_size(v, v);
int centroid = dfs_centroid(v, v, _N);
dfs(centroid, centroid); seen[centroid] = 1;
int ans = 0;
stack<int> st; st.push(C[centroid]);
while(!st.empty()) {
int u = st.top(); st.pop();
if(used[u]) continue;
if(cur[u] != S[u].size()) { ans = 1e9 + 7; break; }
used[u] = 1; ans++;
for(auto e : S[u]) st.push(C[par[e]]);
}
res = min(res, ans - 1);
for(auto u : adj[centroid]) {
if(seen[u]) continue;
build(u);
}
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> N >> K;
for(int l = 0; l < N - 1; l++) {
int A, B; cin >> A >> B;
adj[A].push_back(B);
adj[B].push_back(A);
}
for(int l = 1; l <= N; l++)
cin >> C[l], S[C[l]].push_back(l);
build(1); cout << res << "\n";
return 0;
}
Compilation message
capital_city.cpp: In function 'void build(int)':
capital_city.cpp:52:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
52 | if(cur[u] != S[u].size()) { ans = 1e9 + 7; break; }
| ~~~~~~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9684 KB |
Output is correct |
2 |
Correct |
5 ms |
9668 KB |
Output is correct |
3 |
Correct |
5 ms |
9700 KB |
Output is correct |
4 |
Correct |
5 ms |
9684 KB |
Output is correct |
5 |
Correct |
5 ms |
9684 KB |
Output is correct |
6 |
Correct |
5 ms |
9748 KB |
Output is correct |
7 |
Correct |
5 ms |
9684 KB |
Output is correct |
8 |
Correct |
5 ms |
9688 KB |
Output is correct |
9 |
Correct |
5 ms |
9684 KB |
Output is correct |
10 |
Correct |
5 ms |
9740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9684 KB |
Output is correct |
2 |
Correct |
5 ms |
9668 KB |
Output is correct |
3 |
Correct |
5 ms |
9700 KB |
Output is correct |
4 |
Correct |
5 ms |
9684 KB |
Output is correct |
5 |
Correct |
5 ms |
9684 KB |
Output is correct |
6 |
Correct |
5 ms |
9748 KB |
Output is correct |
7 |
Correct |
5 ms |
9684 KB |
Output is correct |
8 |
Correct |
5 ms |
9688 KB |
Output is correct |
9 |
Correct |
5 ms |
9684 KB |
Output is correct |
10 |
Correct |
5 ms |
9740 KB |
Output is correct |
11 |
Correct |
7 ms |
9812 KB |
Output is correct |
12 |
Correct |
6 ms |
9812 KB |
Output is correct |
13 |
Correct |
7 ms |
9812 KB |
Output is correct |
14 |
Correct |
8 ms |
9812 KB |
Output is correct |
15 |
Correct |
8 ms |
9812 KB |
Output is correct |
16 |
Correct |
7 ms |
9812 KB |
Output is correct |
17 |
Correct |
7 ms |
9908 KB |
Output is correct |
18 |
Correct |
6 ms |
9828 KB |
Output is correct |
19 |
Correct |
6 ms |
9928 KB |
Output is correct |
20 |
Correct |
6 ms |
9812 KB |
Output is correct |
21 |
Correct |
7 ms |
9924 KB |
Output is correct |
22 |
Correct |
7 ms |
9940 KB |
Output is correct |
23 |
Correct |
6 ms |
9812 KB |
Output is correct |
24 |
Correct |
8 ms |
9820 KB |
Output is correct |
25 |
Correct |
7 ms |
9840 KB |
Output is correct |
26 |
Correct |
7 ms |
9940 KB |
Output is correct |
27 |
Correct |
7 ms |
9940 KB |
Output is correct |
28 |
Correct |
8 ms |
9812 KB |
Output is correct |
29 |
Correct |
7 ms |
9812 KB |
Output is correct |
30 |
Correct |
7 ms |
9812 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
440 ms |
34272 KB |
Output is correct |
2 |
Correct |
192 ms |
34640 KB |
Output is correct |
3 |
Correct |
436 ms |
34024 KB |
Output is correct |
4 |
Correct |
179 ms |
34556 KB |
Output is correct |
5 |
Correct |
431 ms |
31560 KB |
Output is correct |
6 |
Correct |
176 ms |
38320 KB |
Output is correct |
7 |
Correct |
409 ms |
35412 KB |
Output is correct |
8 |
Correct |
177 ms |
37880 KB |
Output is correct |
9 |
Correct |
517 ms |
33848 KB |
Output is correct |
10 |
Correct |
528 ms |
31972 KB |
Output is correct |
11 |
Correct |
540 ms |
34212 KB |
Output is correct |
12 |
Correct |
511 ms |
36332 KB |
Output is correct |
13 |
Correct |
525 ms |
31584 KB |
Output is correct |
14 |
Correct |
511 ms |
36568 KB |
Output is correct |
15 |
Correct |
517 ms |
36304 KB |
Output is correct |
16 |
Correct |
508 ms |
32320 KB |
Output is correct |
17 |
Correct |
553 ms |
32776 KB |
Output is correct |
18 |
Correct |
511 ms |
33008 KB |
Output is correct |
19 |
Correct |
500 ms |
35484 KB |
Output is correct |
20 |
Correct |
529 ms |
37232 KB |
Output is correct |
21 |
Correct |
5 ms |
9684 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9684 KB |
Output is correct |
2 |
Correct |
5 ms |
9668 KB |
Output is correct |
3 |
Correct |
5 ms |
9700 KB |
Output is correct |
4 |
Correct |
5 ms |
9684 KB |
Output is correct |
5 |
Correct |
5 ms |
9684 KB |
Output is correct |
6 |
Correct |
5 ms |
9748 KB |
Output is correct |
7 |
Correct |
5 ms |
9684 KB |
Output is correct |
8 |
Correct |
5 ms |
9688 KB |
Output is correct |
9 |
Correct |
5 ms |
9684 KB |
Output is correct |
10 |
Correct |
5 ms |
9740 KB |
Output is correct |
11 |
Correct |
7 ms |
9812 KB |
Output is correct |
12 |
Correct |
6 ms |
9812 KB |
Output is correct |
13 |
Correct |
7 ms |
9812 KB |
Output is correct |
14 |
Correct |
8 ms |
9812 KB |
Output is correct |
15 |
Correct |
8 ms |
9812 KB |
Output is correct |
16 |
Correct |
7 ms |
9812 KB |
Output is correct |
17 |
Correct |
7 ms |
9908 KB |
Output is correct |
18 |
Correct |
6 ms |
9828 KB |
Output is correct |
19 |
Correct |
6 ms |
9928 KB |
Output is correct |
20 |
Correct |
6 ms |
9812 KB |
Output is correct |
21 |
Correct |
7 ms |
9924 KB |
Output is correct |
22 |
Correct |
7 ms |
9940 KB |
Output is correct |
23 |
Correct |
6 ms |
9812 KB |
Output is correct |
24 |
Correct |
8 ms |
9820 KB |
Output is correct |
25 |
Correct |
7 ms |
9840 KB |
Output is correct |
26 |
Correct |
7 ms |
9940 KB |
Output is correct |
27 |
Correct |
7 ms |
9940 KB |
Output is correct |
28 |
Correct |
8 ms |
9812 KB |
Output is correct |
29 |
Correct |
7 ms |
9812 KB |
Output is correct |
30 |
Correct |
7 ms |
9812 KB |
Output is correct |
31 |
Correct |
440 ms |
34272 KB |
Output is correct |
32 |
Correct |
192 ms |
34640 KB |
Output is correct |
33 |
Correct |
436 ms |
34024 KB |
Output is correct |
34 |
Correct |
179 ms |
34556 KB |
Output is correct |
35 |
Correct |
431 ms |
31560 KB |
Output is correct |
36 |
Correct |
176 ms |
38320 KB |
Output is correct |
37 |
Correct |
409 ms |
35412 KB |
Output is correct |
38 |
Correct |
177 ms |
37880 KB |
Output is correct |
39 |
Correct |
517 ms |
33848 KB |
Output is correct |
40 |
Correct |
528 ms |
31972 KB |
Output is correct |
41 |
Correct |
540 ms |
34212 KB |
Output is correct |
42 |
Correct |
511 ms |
36332 KB |
Output is correct |
43 |
Correct |
525 ms |
31584 KB |
Output is correct |
44 |
Correct |
511 ms |
36568 KB |
Output is correct |
45 |
Correct |
517 ms |
36304 KB |
Output is correct |
46 |
Correct |
508 ms |
32320 KB |
Output is correct |
47 |
Correct |
553 ms |
32776 KB |
Output is correct |
48 |
Correct |
511 ms |
33008 KB |
Output is correct |
49 |
Correct |
500 ms |
35484 KB |
Output is correct |
50 |
Correct |
529 ms |
37232 KB |
Output is correct |
51 |
Correct |
5 ms |
9684 KB |
Output is correct |
52 |
Correct |
323 ms |
24428 KB |
Output is correct |
53 |
Correct |
387 ms |
24432 KB |
Output is correct |
54 |
Correct |
348 ms |
24396 KB |
Output is correct |
55 |
Correct |
356 ms |
24436 KB |
Output is correct |
56 |
Correct |
366 ms |
24428 KB |
Output is correct |
57 |
Correct |
407 ms |
24432 KB |
Output is correct |
58 |
Correct |
366 ms |
27280 KB |
Output is correct |
59 |
Correct |
334 ms |
27680 KB |
Output is correct |
60 |
Correct |
446 ms |
27208 KB |
Output is correct |
61 |
Correct |
433 ms |
26956 KB |
Output is correct |
62 |
Correct |
175 ms |
38332 KB |
Output is correct |
63 |
Correct |
177 ms |
38276 KB |
Output is correct |
64 |
Correct |
168 ms |
37988 KB |
Output is correct |
65 |
Correct |
182 ms |
38208 KB |
Output is correct |
66 |
Correct |
278 ms |
31408 KB |
Output is correct |
67 |
Correct |
285 ms |
31316 KB |
Output is correct |
68 |
Correct |
285 ms |
31560 KB |
Output is correct |
69 |
Correct |
294 ms |
31448 KB |
Output is correct |
70 |
Correct |
276 ms |
31512 KB |
Output is correct |
71 |
Correct |
273 ms |
31444 KB |
Output is correct |
72 |
Correct |
272 ms |
31328 KB |
Output is correct |
73 |
Correct |
277 ms |
30816 KB |
Output is correct |
74 |
Correct |
339 ms |
31436 KB |
Output is correct |
75 |
Correct |
269 ms |
31484 KB |
Output is correct |
76 |
Correct |
413 ms |
30416 KB |
Output is correct |
77 |
Correct |
413 ms |
28984 KB |
Output is correct |
78 |
Correct |
499 ms |
32748 KB |
Output is correct |
79 |
Correct |
512 ms |
31168 KB |
Output is correct |
80 |
Correct |
522 ms |
36820 KB |
Output is correct |
81 |
Correct |
539 ms |
34020 KB |
Output is correct |
82 |
Correct |
511 ms |
34024 KB |
Output is correct |
83 |
Correct |
482 ms |
31420 KB |
Output is correct |
84 |
Correct |
498 ms |
36180 KB |
Output is correct |
85 |
Correct |
510 ms |
34868 KB |
Output is correct |
86 |
Correct |
513 ms |
31060 KB |
Output is correct |
87 |
Correct |
521 ms |
32528 KB |
Output is correct |
88 |
Correct |
439 ms |
33372 KB |
Output is correct |
89 |
Correct |
422 ms |
30248 KB |
Output is correct |
90 |
Correct |
431 ms |
30116 KB |
Output is correct |
91 |
Correct |
443 ms |
31960 KB |
Output is correct |
92 |
Correct |
430 ms |
30960 KB |
Output is correct |
93 |
Correct |
483 ms |
30676 KB |
Output is correct |
94 |
Correct |
439 ms |
30284 KB |
Output is correct |
95 |
Correct |
441 ms |
31364 KB |
Output is correct |
96 |
Correct |
442 ms |
30284 KB |
Output is correct |
97 |
Correct |
462 ms |
31924 KB |
Output is correct |