#include <bits/stdc++.h>
using namespace std;
class DisjointSet {
private:
int n;
vector<int> p;
public:
DisjointSet(int n) : n(n) {
p.resize(n);
iota(begin(p), end(p), 0);
}
int Find(int x) {
return p[x] == x ? x : p[x] = Find(p[x]);
}
bool Union(int x, int y) {
x = Find(x);
y = Find(y);
if (x == y) return false;
p[y] = x;
return true;
}
bool IsRoot(int x) {
return p[x] == x;
}
};
int main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
int N, K;
cin >> N >> K;
vector<pair<int, int>> edges;
vector<vector<int>> adj(N + 1);
for (int i = 0; i < N - 1; i++) {
int u, v;
cin >> u >> v;
adj[u].emplace_back(v);
adj[v].emplace_back(u);
edges.emplace_back(u, v);
}
vector<vector<int>> colorList(K);
for (int i = 1; i <= N; i++) {
int c;
cin >> c;
colorList[--c].emplace_back(i);
}
vector<int> par(N + 1);
vector<int> depth(N + 1);
DisjointSet group(N + 1);
function<void(int)> Dfs = [&](int n) {
for (auto i : adj[n]) if (i != par[n]) {
depth[i] = depth[n] + 1;
par[i] = n;
Dfs(i);
}
};
auto Unite = [&](int a, int b) {
a = group.Find(a);
b = group.Find(b);
while (a != b) {
if (depth[a] > depth[b]) swap(a, b);
group.Union(par[b], b);
b = group.Find(b);
}
};
Dfs(1);
for (int k = 0; k < K; k++) {
sort(begin(colorList[k]), end(colorList[k]), [&](int a, int b) { return depth[a] > depth[b]; });
for (int i = 1; i < (int) colorList[k].size(); i++) {
Unite(colorList[k][0], colorList[k][i]);
}
}
vector<int> degree(N, 0);
for (int i = 0; i < N - 1; i++) {
int u, v;
tie(u, v) = edges[i];
if (group.Find(u) != group.Find(v)) {
degree[group.Find(u)]++;
degree[group.Find(v)]++;
}
}
int ans = 0;
for (int i = 1; i <= N; i++) {
if (group.IsRoot(i) && degree[i] == 1) {
ans++;
}
}
cout << ((ans + 1) / 2) << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
4 ms |
384 KB |
Output is correct |
13 |
Correct |
4 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
4 ms |
384 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
4 ms |
384 KB |
Output is correct |
22 |
Correct |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
4 ms |
384 KB |
Output is correct |
13 |
Correct |
4 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
4 ms |
384 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
4 ms |
384 KB |
Output is correct |
22 |
Correct |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
25 |
Correct |
4 ms |
384 KB |
Output is correct |
26 |
Correct |
6 ms |
768 KB |
Output is correct |
27 |
Correct |
6 ms |
640 KB |
Output is correct |
28 |
Correct |
7 ms |
896 KB |
Output is correct |
29 |
Correct |
6 ms |
768 KB |
Output is correct |
30 |
Correct |
6 ms |
640 KB |
Output is correct |
31 |
Correct |
4 ms |
384 KB |
Output is correct |
32 |
Correct |
7 ms |
896 KB |
Output is correct |
33 |
Correct |
4 ms |
384 KB |
Output is correct |
34 |
Correct |
6 ms |
640 KB |
Output is correct |
35 |
Correct |
6 ms |
768 KB |
Output is correct |
36 |
Correct |
6 ms |
640 KB |
Output is correct |
37 |
Correct |
7 ms |
640 KB |
Output is correct |
38 |
Correct |
5 ms |
384 KB |
Output is correct |
39 |
Correct |
6 ms |
768 KB |
Output is correct |
40 |
Correct |
6 ms |
640 KB |
Output is correct |
41 |
Correct |
6 ms |
640 KB |
Output is correct |
42 |
Correct |
6 ms |
640 KB |
Output is correct |
43 |
Correct |
6 ms |
768 KB |
Output is correct |
44 |
Correct |
5 ms |
384 KB |
Output is correct |
45 |
Correct |
6 ms |
768 KB |
Output is correct |
46 |
Runtime error |
9 ms |
1280 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
47 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
4 ms |
384 KB |
Output is correct |
13 |
Correct |
4 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
4 ms |
384 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
4 ms |
384 KB |
Output is correct |
22 |
Correct |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
25 |
Correct |
4 ms |
384 KB |
Output is correct |
26 |
Correct |
54 ms |
10600 KB |
Output is correct |
27 |
Correct |
76 ms |
10220 KB |
Output is correct |
28 |
Correct |
6 ms |
640 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
384 KB |
Output is correct |
31 |
Correct |
87 ms |
10540 KB |
Output is correct |
32 |
Correct |
6 ms |
640 KB |
Output is correct |
33 |
Correct |
88 ms |
15856 KB |
Output is correct |
34 |
Correct |
75 ms |
10224 KB |
Output is correct |
35 |
Correct |
6 ms |
640 KB |
Output is correct |
36 |
Correct |
81 ms |
10732 KB |
Output is correct |
37 |
Correct |
6 ms |
640 KB |
Output is correct |
38 |
Correct |
6 ms |
640 KB |
Output is correct |
39 |
Correct |
54 ms |
10476 KB |
Output is correct |
40 |
Correct |
6 ms |
768 KB |
Output is correct |
41 |
Correct |
74 ms |
10092 KB |
Output is correct |
42 |
Correct |
84 ms |
12012 KB |
Output is correct |
43 |
Correct |
5 ms |
384 KB |
Output is correct |
44 |
Correct |
90 ms |
16108 KB |
Output is correct |
45 |
Correct |
87 ms |
13344 KB |
Output is correct |
46 |
Correct |
6 ms |
640 KB |
Output is correct |
47 |
Correct |
6 ms |
640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
53 ms |
9064 KB |
Output is correct |
2 |
Correct |
66 ms |
14056 KB |
Output is correct |
3 |
Correct |
7 ms |
768 KB |
Output is correct |
4 |
Correct |
6 ms |
640 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
6 ms |
640 KB |
Output is correct |
8 |
Correct |
89 ms |
12780 KB |
Output is correct |
9 |
Correct |
7 ms |
640 KB |
Output is correct |
10 |
Correct |
77 ms |
10476 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
83 ms |
10476 KB |
Output is correct |
13 |
Correct |
88 ms |
12780 KB |
Output is correct |
14 |
Correct |
85 ms |
15512 KB |
Output is correct |
15 |
Correct |
55 ms |
10476 KB |
Output is correct |
16 |
Correct |
6 ms |
768 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
72 ms |
15212 KB |
Output is correct |
19 |
Correct |
100 ms |
18680 KB |
Output is correct |
20 |
Runtime error |
9 ms |
1280 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
21 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
4 ms |
384 KB |
Output is correct |
13 |
Correct |
4 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
4 ms |
384 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
4 ms |
384 KB |
Output is correct |
22 |
Correct |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
25 |
Correct |
4 ms |
384 KB |
Output is correct |
26 |
Correct |
6 ms |
768 KB |
Output is correct |
27 |
Correct |
6 ms |
640 KB |
Output is correct |
28 |
Correct |
7 ms |
896 KB |
Output is correct |
29 |
Correct |
6 ms |
768 KB |
Output is correct |
30 |
Correct |
6 ms |
640 KB |
Output is correct |
31 |
Correct |
4 ms |
384 KB |
Output is correct |
32 |
Correct |
7 ms |
896 KB |
Output is correct |
33 |
Correct |
4 ms |
384 KB |
Output is correct |
34 |
Correct |
6 ms |
640 KB |
Output is correct |
35 |
Correct |
6 ms |
768 KB |
Output is correct |
36 |
Correct |
6 ms |
640 KB |
Output is correct |
37 |
Correct |
7 ms |
640 KB |
Output is correct |
38 |
Correct |
5 ms |
384 KB |
Output is correct |
39 |
Correct |
6 ms |
768 KB |
Output is correct |
40 |
Correct |
6 ms |
640 KB |
Output is correct |
41 |
Correct |
6 ms |
640 KB |
Output is correct |
42 |
Correct |
6 ms |
640 KB |
Output is correct |
43 |
Correct |
6 ms |
768 KB |
Output is correct |
44 |
Correct |
5 ms |
384 KB |
Output is correct |
45 |
Correct |
6 ms |
768 KB |
Output is correct |
46 |
Runtime error |
9 ms |
1280 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
47 |
Halted |
0 ms |
0 KB |
- |